From 86fb6e173885b9ac170b14ce9a9d0ccf7cd34e50 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 16 May 2018 20:58:07 +0000
Subject: [PATCH 001/154] Start of experimental implementation of SQL window
 functions. Does not yet work.

FossilOrigin-Name: 3781e520854808fe02ad3fe77dd11fc917448c58ff1fd79123289dd91937decd
---
 main.mk                |   2 +-
 manifest               |  48 +++---
 manifest.uuid          |   2 +-
 src/analyze.c          |   3 +
 src/attach.c           |   2 +
 src/expr.c             |  28 +++-
 src/func.c             |   2 +-
 src/parse.y            |  60 ++++++-
 src/resolve.c          |  48 ++++--
 src/select.c           | 357 ++++++++++++++++++++++++++++++++++++++++-
 src/sqliteInt.h        |  61 +++++--
 src/test1.c            |   7 +
 src/vdbe.c             |   6 +-
 src/vdbeInt.h          |   1 +
 src/vdbemem.c          |  17 ++
 src/window.c           |  53 ++++++
 test/permutations.test |   2 +-
 test/window1.test      | 112 +++++++++++++
 tool/mkkeywordhash.c   |   9 ++
 19 files changed, 759 insertions(+), 61 deletions(-)
 create mode 100644 src/window.c
 create mode 100644 test/window1.test

diff --git a/main.mk b/main.mk
index 8dc423c5b5..2a1f04ed9b 100644
--- a/main.mk
+++ b/main.mk
@@ -75,7 +75,7 @@ LIBOBJ+= vdbe.o parse.o \
          update.o upsert.o userauth.o util.o vacuum.o \
          vdbeapi.o vdbeaux.o vdbeblob.o vdbemem.o vdbesort.o \
 	 vdbetrace.o wal.o walker.o where.o wherecode.o whereexpr.o \
-         utf.o vtab.o
+         utf.o vtab.o window.o
 
 LIBOBJ += sqlite3session.o
 
diff --git a/manifest b/manifest
index 90956c0afc..35b0a7fb7c 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Enhance\sthe\ssqlite3_str_new()\sinterface\sso\sthat\sit\salways\sreturns\sa\svalid\nand\snon-NULL\spointer\seven\sin\san\sOOM\scondition.
-D 2018-05-16T15:35:03.770
+C Start\sof\sexperimental\simplementation\sof\sSQL\swindow\sfunctions.\sDoes\snot\syet\nwork.
+D 2018-05-16T20:58:07.009
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -415,7 +415,7 @@ F ext/userauth/userauth.c 3410be31283abba70255d71fd24734e017a4497f
 F install-sh 9d4de14ab9fb0facae2f48780b874848cbf2f895 x
 F ltmain.sh 3ff0879076df340d2e23ae905484d8c15d5fdea8
 F magic.txt 8273bf49ba3b0c8559cb2774495390c31fd61c60
-F main.mk 3f50dfe5cb4257c1aca96e417636ed51bc2561e71d31a21e9ccdf66feb912f43
+F main.mk e829e6dca3fcf542747d0c210516d5e6893f773099b2e5deb924eb7dc70f7384
 F mkso.sh fd21c06b063bb16a5d25deea1752c2da6ac3ed83
 F mptest/config01.test 3c6adcbc50b991866855f1977ff172eb6d901271
 F mptest/config02.test 4415dfe36c48785f751e16e32c20b077c28ae504
@@ -428,8 +428,8 @@ F sqlite.pc.in 42b7bf0d02e08b9e77734a47798d1a55a9e0716b
 F sqlite3.1 fc7ad8990fc8409983309bb80de8c811a7506786
 F sqlite3.pc.in 48fed132e7cb71ab676105d2a4dc77127d8c1f3a
 F src/alter.c cf7a8af45cb0ace672f47a1b29ab24092a9e8cd8d945a9974e3b5d925f548594
-F src/analyze.c 71fbbeb7b25417592f54d869fe90c28b48e4cecb9926ef9b06d90fb0aec48941
-F src/attach.c 4a3138bd771d5426ae4344d8d5e900440af29fabc5ec2f39f69a45010dfbccd7
+F src/analyze.c 1250e69bd137314845afec5c489fc49c9de7baef68970b5530a7bc28f7611db1
+F src/attach.c 3af6abc40733d10014b401c89a4e8ecfa7c3855517c62004461875220a3af453
 F src/auth.c 6277d63837357549fe14e723490d6dc1a38768d71c795c5eb5c0f8a99f918f73
 F src/backup.c faf17e60b43233c214aae6a8179d24503a61e83b
 F src/bitvec.c 17ea48eff8ba979f1f5b04cc484c7bb2be632f33
@@ -445,10 +445,10 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 8db4c97f630e7d83f884ea75caf1ffd0988c160e9d530194d93721c80821e0f6
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c b0f90749e22d5e41a12dbf940f4811138cf97da54b46b737089b93eb64a2896f
-F src/expr.c af4a81a385277510bfc56df87c25d76fc365f98c33bc8797c4a8d84b88e31013
+F src/expr.c 6e443e4f9fabd3125800076f2a7cd90c84d2c106ed1815cbe5e9c96af2b9eb74
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c d617daf66b5515e2b42c1405b2b4984c30ca50fb705ab164271a9bf66c69e331
-F src/func.c e2e3c02621a528a472933fd4733a5da635676f1461be73293f6e9f62f18d4eaa
+F src/func.c 03c99a50c69f7d565e13179aad26af703b9df7752a4d690af1540c5e04ababc2
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -482,7 +482,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 07784439d25f0bc64a656eece4caecc549b147d213f513cdbeb8430345ec2911
+F src/parse.y 5df899a48f439c5e67e5194fe06ff28d928d2f531edc3169964f668eb16fee34
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -491,19 +491,19 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c 95a9dba7a5d032039a77775188cb3b6fb17f2fa1a0b7cd915b30b4b823383ffa
 F src/printf.c 1d1b4a568a58d0f32a5ff26c6b98db8a6e1883467f343a6406263cacd2e60c21
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c 6415381a0e9d22c0e7cba33ca4a53f81474190862f5d4838190f5eb5b0b47bc9
+F src/resolve.c 8feaf2039bd1b17dd5021e0c5731cde741694b59032d0faf5c73df499c880ebf
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c a35d462ee7a3c0856ad7a9d9c8921fbf3d91d911a8f39ad9d61302eb43b24a71
+F src/select.c 0e82e32d3bd536c90e778c930cdf7dafa5afd886cc8c467c443ff95c38109e10
 F src/shell.c.in 53affa90711f280342f7238f9c9aa9dcaed321ec6218a18043cf92154ef8a704
 F src/sqlite.h.in 34be2d0d18bf4726538793bdc9854cd87f689fda4b3789515134cdbd68188cf4
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 5abdade4744cf3bd567afb65bb144bb3c61f6132f86813b995a5ca79c7b584e8
+F src/sqliteInt.h ecb9f7d12a22f557d66cafd7a3ea1c2bbfb6773c4b274eb7410ac017c3e18472
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
 F src/tclsqlite.c 916a92de77ec5cbe27818ca194d8cf0c58aa7ad5b87527098f6aa5a6068800ce
-F src/test1.c 51aa5f3030217ca45eb62e90944838794d4faaae7a8f60e0330ae01f30bc997b
+F src/test1.c b5e21f2ec8386cabb67346c9399603ddb33f76094a0941f280b403aa93631717
 F src/test2.c 3efb99ab7f1fc8d154933e02ae1378bac9637da5
 F src/test3.c b8434949dfb8aff8dfa082c8b592109e77844c2135ed3c492113839b6956255b
 F src/test4.c 18ec393bb4d0ad1de729f0b94da7267270f3d8e6
@@ -563,13 +563,13 @@ F src/upsert.c ae4a4823b45c4daf87e8aea8c0f582a8844763271f5ed54ee5956c4c612734f4
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 37730af7540033135909ecaee3667dddec043293428d8718546d0d64ba4a5025
-F src/vdbe.c 066a4e1de2ed83e253adfd2e97a684cf562eaa41d31ee7f3d3e4c8aea4485a55
+F src/vdbe.c d83cfec9ebf523d5b2a8a3756ba8f23e39723725334a2e2e947e602ef6e6b278
 F src/vdbe.h d970d9738efdd09cb2df73e3a40856e7df13e88a3486789c49fcdd322c9eb8a2
-F src/vdbeInt.h 95f7adfdc5c8f1353321f55a6c5ec00a90877e3b85af5159e393afb41ff54110
+F src/vdbeInt.h 3878856fab3a8e64d27d472909e391db9d82f4f8b902a1737a1f7f351299ff52
 F src/vdbeapi.c 29d2baf9c1233131ec467d7bed1b7c8a03c27579048d768c4b04acf427838858
 F src/vdbeaux.c f1cb5ae6e42c54d4991e2951e5293c1e18bad6847056e9b17622fbf6b17964a9
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
-F src/vdbemem.c 0cbe9b9560e42b72983cf9e1bceba48f297e51142bfb6b57f3747cf60106b92d
+F src/vdbemem.c a4b9390323f0ae4972968de8384c64f005fa026e266fa1531dfa9d77bc5861db
 F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2f
 F src/vdbetrace.c 79d6dbbc479267b255a7de8080eee6e729928a0ef93ed9b0bfa5618875b48392
 F src/vtab.c 0e4885495172e1bdf54b12cce23b395ac74ef5729031f15e1bc1e3e6b360ed1a
@@ -581,6 +581,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
+F src/window.c 33cc7de721edb12ddae639b96f537535e237edcd576c8d946e4a0b66d912a5db
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1145,7 +1146,7 @@ F test/parser1.test 391b9bf9a229547a129c61ac345ed1a6f5eb1854
 F test/pcache.test c8acbedd3b6fd0f9a7ca887a83b11d24a007972b
 F test/pcache2.test af7f3deb1a819f77a6d0d81534e97d1cf62cd442
 F test/percentile.test 4243af26b8f3f4555abe166f723715a1f74c77ff
-F test/permutations.test 10793f1de89a226fa22dde9ba9398de22571fee1bfb53a935a11be4aa014704f
+F test/permutations.test a4c5c94c5f4e6c49004bf9b9b8b81201081e1d2d127cdda61bdb1c61dd0deb4e
 F test/pragma.test 7c8cfc328a1717a95663cf8edb06c52ddfeaf97bb0aee69ae7457132e8d39e7d
 F test/pragma2.test e5d5c176360c321344249354c0c16aec46214c9f
 F test/pragma3.test 14c12bc5352b1e100e0b6b44f371053a81ccf8ed
@@ -1612,6 +1613,7 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
+F test/window1.test d1766b0cbaf87521a0245b18da8c907cc0d791b287a66e90c70f8b836985794d
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1656,7 +1658,7 @@ F tool/max-limits.c cbb635fbb37ae4d05f240bfb5b5270bb63c54439
 F tool/mkautoconfamal.sh 422fc365358a2e92876ffc62971a0ff28ed472fc8bcf9de0df921c736fdeca5e
 F tool/mkccode.tcl 86463e68ce9c15d3041610fedd285ce32a5cf7a58fc88b3202b8b76837650dbe x
 F tool/mkctimec.tcl dd183b73ae1c28249669741c250525f0407e579a70482371668fd5f130d9feb3
-F tool/mkkeywordhash.c 20f366ad3794e1db42e333a6f35fa41a024f2e3528579c9d58eb13eaa3ab4913
+F tool/mkkeywordhash.c dd4d201d646dd4e236b93be17589e89a19b329a8840e559f91db3bdc361f3c39
 F tool/mkmsvcmin.tcl cad0c7b54d7dd92bc87d59f36d4cc4f070eb2e625f14159dc2f5c4204e6a13ea
 F tool/mkopcodec.tcl d1b6362bd3aa80d5520d4d6f3765badf01f6c43c
 F tool/mkopcodeh.tcl 4ee2a30ccbd900dc4d5cdb61bdab87cd2166cd2affcc78c9cc0b8d22a65b2eee
@@ -1728,7 +1730,11 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P b45b18850c59f22a163ee482f529f578a8798f96d0e26b5a061d336d480a1540
-R c3a19bb61082b137e0cb5588248c4f0e
-U drh
-Z 26153b062cb510be04ec5eecb2714fde
+P ed5b09680fd6659ebbe5ace3c1c56f3962bbd75cfdf65c7565651900cf87917a
+R 44bb3242b5e27ab54d0052d5f4fa0103
+T *branch * exp-window-functions
+T *sym-exp-window-functions *
+T +closed d103c041ccb3a009926b6aa34a283a7cb8e4a645711ecd7a3002a90558d02e9d
+T -sym-trunk *
+U dan
+Z 75ac74ab72bd7e468725d214860f2422
diff --git a/manifest.uuid b/manifest.uuid
index c2200e96a6..532ea1066b 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-ed5b09680fd6659ebbe5ace3c1c56f3962bbd75cfdf65c7565651900cf87917a
\ No newline at end of file
+3781e520854808fe02ad3fe77dd11fc917448c58ff1fd79123289dd91937decd
\ No newline at end of file
diff --git a/src/analyze.c b/src/analyze.c
index 48fd4951c4..9492e2c2f8 100644
--- a/src/analyze.c
+++ b/src/analyze.c
@@ -485,6 +485,7 @@ static const FuncDef statInitFuncdef = {
   0,               /* pNext */
   statInit,        /* xSFunc */
   0,               /* xFinalize */
+  0, 0,
   "stat_init",     /* zName */
   {0}
 };
@@ -801,6 +802,7 @@ static const FuncDef statPushFuncdef = {
   0,               /* pNext */
   statPush,        /* xSFunc */
   0,               /* xFinalize */
+  0, 0,
   "stat_push",     /* zName */
   {0}
 };
@@ -952,6 +954,7 @@ static const FuncDef statGetFuncdef = {
   0,               /* pNext */
   statGet,         /* xSFunc */
   0,               /* xFinalize */
+  0, 0,
   "stat_get",      /* zName */
   {0}
 };
diff --git a/src/attach.c b/src/attach.c
index ca0fd9fd1f..1f276156b8 100644
--- a/src/attach.c
+++ b/src/attach.c
@@ -414,6 +414,7 @@ void sqlite3Detach(Parse *pParse, Expr *pDbname){
     0,                /* pNext */
     detachFunc,       /* xSFunc */
     0,                /* xFinalize */
+    0, 0,
     "sqlite_detach",  /* zName */
     {0}
   };
@@ -433,6 +434,7 @@ void sqlite3Attach(Parse *pParse, Expr *p, Expr *pDbname, Expr *pKey){
     0,                /* pNext */
     attachFunc,       /* xSFunc */
     0,                /* xFinalize */
+    0, 0,
     "sqlite_attach",  /* zName */
     {0}
   };
diff --git a/src/expr.c b/src/expr.c
index 6aff83a256..a1407a85f9 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -1063,6 +1063,9 @@ static SQLITE_NOINLINE void sqlite3ExprDeleteNN(sqlite3 *db, Expr *p){
     }else{
       sqlite3ExprListDelete(db, p->x.pList);
     }
+    if( !ExprHasProperty(p, EP_Reduced) ){
+      sqlite3WindowDelete(db, p->pWin);
+    }
   }
   if( ExprHasProperty(p, EP_MemToken) ) sqlite3DbFree(db, p->u.zToken);
   if( !ExprHasProperty(p, EP_Static) ){
@@ -1305,6 +1308,24 @@ static With *withDup(sqlite3 *db, With *p){
 # define withDup(x,y) 0
 #endif
 
+static Window *winDup(sqlite3 *db, Window *p){
+  Window *pNew = 0;
+  if( p ){
+    pNew = sqlite3DbMallocZero(db, sizeof(Window));
+    if( pNew ){
+      pNew->pFilter = sqlite3ExprDup(db, p->pFilter, 0);
+      pNew->pPartition = sqlite3ExprListDup(db, p->pPartition, 0);
+      pNew->pOrderBy = sqlite3ExprListDup(db, p->pOrderBy, 0);
+      pNew->eType = p->eType;
+      pNew->eEnd = p->eEnd;
+      pNew->eStart = p->eStart;
+      pNew->pStart = sqlite3ExprDup(db, pNew->pStart, 0);
+      pNew->pEnd = sqlite3ExprDup(db, pNew->pEnd, 0);
+    }
+  }
+  return pNew;
+}
+
 /*
 ** The following group of routines make deep copies of expressions,
 ** expression lists, ID lists, and select statements.  The copies can
@@ -1469,6 +1490,7 @@ Select *sqlite3SelectDup(sqlite3 *db, Select *pDup, int flags){
     pNew->addrOpenEphm[1] = -1;
     pNew->nSelectRow = p->nSelectRow;
     pNew->pWith = withDup(db, p->pWith);
+    pNew->pWin = winDup(db, p->pWin);
     sqlite3SelectSetName(pNew, p->zSelName);
     *pp = pNew;
     pp = &pNew->pPrior;
@@ -3778,6 +3800,10 @@ expr_code_doover:
       u8 enc = ENC(db);      /* The text encoding used by this database */
       CollSeq *pColl = 0;    /* A collating sequence */
 
+      if( !ExprHasProperty(pExpr, EP_TokenOnly|EP_Reduced) && pExpr->pWin ){
+        return pExpr->pWin->regResult;
+      }
+
       if( ConstFactorOk(pParse) && sqlite3ExprIsConstantNotJoin(pExpr) ){
         /* SQL functions can be expensive. So try to move constant functions
         ** out of the inner loop, even if that means an extra OP_Copy. */
@@ -3798,7 +3824,7 @@ expr_code_doover:
         pDef = sqlite3FindFunction(db, "unknown", nFarg, enc, 0);
       }
 #endif
-      if( pDef==0 || pDef->xFinalize!=0 ){
+      if( pDef==0 /* || pDef->xFinalize!=0 */ ){
         sqlite3ErrorMsg(pParse, "unknown function: %s()", zId);
         break;
       }
diff --git a/src/func.c b/src/func.c
index 17a267e223..f5a839d396 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1859,7 +1859,7 @@ void sqlite3RegisterBuiltinFunctions(void){
     FUNCTION(zeroblob,           1, 0, 0, zeroblobFunc     ),
     FUNCTION(substr,             2, 0, 0, substrFunc       ),
     FUNCTION(substr,             3, 0, 0, substrFunc       ),
-    AGGREGATE(sum,               1, 0, 0, sumStep,         sumFinalize    ),
+    WFUNCTION(sum,               1, 0, sumStep, sumFinalize, sumFinalize, 0),
     AGGREGATE(total,             1, 0, 0, sumStep,         totalFinalize    ),
     AGGREGATE(avg,               1, 0, 0, sumStep,         avgFinalize    ),
     AGGREGATE2(count,            0, 0, 0, countStep,       countFinalize,
diff --git a/src/parse.y b/src/parse.y
index aca3bfb1c6..1d1a2ddaac 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -99,6 +99,8 @@
 */
 struct TrigEvent { int a; IdList * b; };
 
+struct FrameBound     { int eType; Expr *pExpr; };
+
 /*
 ** Disable lookaside memory allocation for objects that might be
 ** shared across database connections.
@@ -209,7 +211,7 @@ columnname(A) ::= nm(A) typetoken(Y). {sqlite3AddColumn(pParse,&A,&Y);}
   CONFLICT DATABASE DEFERRED DESC DETACH DO
   EACH END EXCLUSIVE EXPLAIN FAIL FOR
   IGNORE IMMEDIATE INITIALLY INSTEAD LIKE_KW MATCH NO PLAN
-  QUERY KEY OF OFFSET PRAGMA RAISE RECURSIVE RELEASE REPLACE RESTRICT ROW
+  QUERY KEY OF OFFSET PRAGMA RAISE RECURSIVE RELEASE REPLACE RESTRICT ROW ROWS
   ROLLBACK SAVEPOINT TEMP TRIGGER VACUUM VIEW VIRTUAL WITH WITHOUT
 %ifdef SQLITE_OMIT_COMPOUND_SELECT
   EXCEPT INTERSECT UNION
@@ -1001,11 +1003,12 @@ expr(A) ::= CAST LP expr(E) AS typetoken(T) RP. {
   sqlite3ExprAttachSubtrees(pParse->db, A, E, 0);
 }
 %endif  SQLITE_OMIT_CAST
-expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP. {
+expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP window(Z). {
   if( Y && Y->nExpr>pParse->db->aLimit[SQLITE_LIMIT_FUNCTION_ARG] ){
     sqlite3ErrorMsg(pParse, "too many arguments on function %T", &X);
   }
   A = sqlite3ExprFunction(pParse, Y, &X);
+  sqlite3WindowAttach(pParse, A, Z);
   if( D==SF_Distinct && A ){
     A->flags |= EP_Distinct;
   }
@@ -1017,6 +1020,59 @@ term(A) ::= CTIME_KW(OP). {
   A = sqlite3ExprFunction(pParse, 0, &OP);
 }
 
+
+%type window {Window*}
+%destructor window {sqlite3WindowDelete(pParse->db, $$);}
+
+%type frame_opt {Window*}
+%destructor frame_opt {sqlite3WindowDelete(pParse->db, $$);}
+
+%type part_opt {ExprList*}
+%destructor part_opt {sqlite3ExprListDelete(pParse->db, $$);}
+
+%type filter_opt {Expr*}
+%destructor filter_opt {sqlite3ExprDelete(pParse->db, $$);}
+
+%type range_or_rows {int}
+
+%type frame_bound {struct FrameBound}
+%destructor frame_bound {sqlite3ExprDelete(pParse->db, $$.pExpr);}
+
+window(A) ::= . { A = 0; }
+window(A) ::= filter_opt(W) OVER LP part_opt(X) orderby_opt(Y) frame_opt(Z) RP.{
+  if( Z ){
+    A = Z;
+    A->pFilter = W;
+    A->pPartition = X;
+    A->pOrderBy = Y;
+  }
+}
+
+part_opt(A) ::= PARTITION BY exprlist(X). { A = X; }
+part_opt(A) ::= .                         { A = 0; }
+filter_opt(A) ::= .                            { A = 0; }
+filter_opt(A) ::= FILTER LP WHERE expr(X) RP.  { A = X; }
+
+frame_opt(A) ::= .                             { 
+  A = sqlite3WindowAlloc(pParse, TK_RANGE, TK_UNBOUNDED, 0, TK_CURRENT, 0);
+}
+frame_opt(A) ::= range_or_rows(X) frame_bound(Y). { 
+  A = sqlite3WindowAlloc(pParse, X, Y.eType, Y.pExpr, TK_CURRENT, 0);
+}
+frame_opt(A) ::= range_or_rows(X) BETWEEN frame_bound(Y) AND frame_bound(Z). { 
+  A = sqlite3WindowAlloc(pParse, X, Y.eType, Y.pExpr, Z.eType, Z.pExpr);
+}
+
+range_or_rows(A) ::= RANGE.   { A = TK_RANGE; }
+range_or_rows(A) ::= ROWS.    { A = TK_ROWS;  }
+
+frame_bound(A) ::= UNBOUNDED PRECEDING. { A.eType = TK_UNBOUNDED; A.pExpr = 0; }
+frame_bound(A) ::= expr(X) PRECEDING.   { A.eType = TK_PRECEDING; A.pExpr = X; }
+frame_bound(A) ::= CURRENT ROW.         { A.eType = TK_CURRENT  ; A.pExpr = 0; }
+frame_bound(A) ::= expr(X) FOLLOWING.   { A.eType = TK_FOLLOWING; A.pExpr = X; }
+frame_bound(A) ::= UNBOUNDED FOLLOWING. { A.eType = TK_UNBOUNDED; A.pExpr = 0; }
+
+
 expr(A) ::= LP nexprlist(X) COMMA expr(Y) RP. {
   ExprList *pList = sqlite3ExprListAppend(pParse, X, Y);
   A = sqlite3PExpr(pParse, TK_VECTOR, 0, 0);
diff --git a/src/resolve.c b/src/resolve.c
index 4ed36a479e..073fdf1933 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -753,8 +753,11 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
                    NC_IdxExpr|NC_PartIdx);
         }
       }
-      if( is_agg && (pNC->ncFlags & NC_AllowAgg)==0 ){
-        sqlite3ErrorMsg(pParse, "misuse of aggregate function %.*s()", nId,zId);
+      if( (is_agg && (pNC->ncFlags & NC_AllowAgg)==0) 
+       || (pExpr->pWin && (pNC->ncFlags & NC_AllowWin)==0)
+      ){
+        const char *zType = pExpr->pWin ? "window" : "aggregate";
+        sqlite3ErrorMsg(pParse, "misuse of %s function %.*s()",zType,nId,zId);
         pNC->nErr++;
         is_agg = 0;
       }else if( no_such_func && pParse->db->init.busy==0
@@ -772,19 +775,28 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
       if( is_agg ) pNC->ncFlags &= ~NC_AllowAgg;
       sqlite3WalkExprList(pWalker, pList);
       if( is_agg ){
-        NameContext *pNC2 = pNC;
-        pExpr->op = TK_AGG_FUNCTION;
-        pExpr->op2 = 0;
-        while( pNC2 && !sqlite3FunctionUsesThisSrc(pExpr, pNC2->pSrcList) ){
-          pExpr->op2++;
-          pNC2 = pNC2->pNext;
+        if( pExpr->pWin ){
+          pExpr->pWin->pNextWin = pNC->pWin;
+          pNC->pWin = pExpr->pWin;
+          pExpr->pWin->pFunc = pDef;
+          pExpr->pWin->nArg = pExpr->x.pList->nExpr;
         }
-        assert( pDef!=0 );
-        if( pNC2 ){
-          assert( SQLITE_FUNC_MINMAX==NC_MinMaxAgg );
-          testcase( (pDef->funcFlags & SQLITE_FUNC_MINMAX)!=0 );
-          pNC2->ncFlags |= NC_HasAgg | (pDef->funcFlags & SQLITE_FUNC_MINMAX);
+        else
+        {
+          NameContext *pNC2 = pNC;
+          pExpr->op = TK_AGG_FUNCTION;
+          pExpr->op2 = 0;
+          while( pNC2 && !sqlite3FunctionUsesThisSrc(pExpr, pNC2->pSrcList) ){
+            pExpr->op2++;
+            pNC2 = pNC2->pNext;
+          }
+          assert( pDef!=0 );
+          if( pNC2 ){
+            assert( SQLITE_FUNC_MINMAX==NC_MinMaxAgg );
+            testcase( (pDef->funcFlags & SQLITE_FUNC_MINMAX)!=0 );
+            pNC2->ncFlags |= NC_HasAgg | (pDef->funcFlags & SQLITE_FUNC_MINMAX);
 
+          }
         }
         pNC->ncFlags |= NC_AllowAgg;
       }
@@ -1234,6 +1246,7 @@ static int resolveSelectStep(Walker *pWalker, Select *p){
   nCompound = 0;
   pLeftmost = p;
   while( p ){
+    assert( p->pWin==0 );
     assert( (p->selFlags & SF_Expanded)!=0 );
     assert( (p->selFlags & SF_Resolved)==0 );
     p->selFlags |= SF_Resolved;
@@ -1291,12 +1304,13 @@ static int resolveSelectStep(Walker *pWalker, Select *p){
     /* Set up the local name-context to pass to sqlite3ResolveExprNames() to
     ** resolve the result-set expression list.
     */
-    sNC.ncFlags = NC_AllowAgg;
+    sNC.ncFlags = NC_AllowAgg|NC_AllowWin;
     sNC.pSrcList = p->pSrc;
     sNC.pNext = pOuterNC;
   
     /* Resolve names in the result set. */
     if( sqlite3ResolveExprListNames(&sNC, p->pEList) ) return WRC_Abort;
+    sNC.ncFlags &= ~NC_AllowWin;
   
     /* If there are no aggregate functions in the result-set, and no GROUP BY 
     ** expression, do not allow aggregates in any of the other expressions.
@@ -1345,7 +1359,7 @@ static int resolveSelectStep(Walker *pWalker, Select *p){
     ** outer queries 
     */
     sNC.pNext = 0;
-    sNC.ncFlags |= NC_AllowAgg;
+    sNC.ncFlags |= NC_AllowAgg|NC_AllowWin;
 
     /* If this is a converted compound query, move the ORDER BY clause from 
     ** the sub-query back to the parent query. At this point each term
@@ -1376,6 +1390,7 @@ static int resolveSelectStep(Walker *pWalker, Select *p){
     if( db->mallocFailed ){
       return WRC_Abort;
     }
+    sNC.ncFlags &= ~NC_AllowWin;
   
     /* Resolve the GROUP BY clause.  At the same time, make sure 
     ** the GROUP BY clause does not contain aggregate functions.
@@ -1402,6 +1417,9 @@ static int resolveSelectStep(Walker *pWalker, Select *p){
       return WRC_Abort;
     }
 
+    p->pWin = sNC.pWin;
+    sNC.pWin = 0;
+
     /* Advance to the next term of the compound
     */
     p = p->pPrior;
diff --git a/src/select.c b/src/select.c
index 3818ef5170..2b5a3dc544 100644
--- a/src/select.c
+++ b/src/select.c
@@ -162,6 +162,7 @@ Select *sqlite3SelectNew(
   pNew->pNext = 0;
   pNew->pLimit = pLimit;
   pNew->pWith = 0;
+  pNew->pWin = 0;
   if( pParse->db->mallocFailed ) {
     clearSelect(pParse->db, pNew, pNew!=&standin);
     pNew = 0;
@@ -3719,6 +3720,8 @@ static int flattenSubquery(
   pSub = pSubitem->pSelect;
   assert( pSub!=0 );
 
+  if( p->pWin ) return 0;
+
   pSubSrc = pSub->pSrc;
   assert( pSubSrc );
   /* Prior to version 3.1.2, when LIMIT and OFFSET had to be simple constants,
@@ -4588,6 +4591,27 @@ static void selectPopWith(Walker *pWalker, Select *p){
 #define selectPopWith 0
 #endif
 
+static int selectExpandSubquery(Parse *pParse, struct SrcList_item *pFrom){
+  Select *pSel = pFrom->pSelect;
+  Table *pTab;
+
+  pFrom->pTab = pTab = sqlite3DbMallocZero(pParse->db, sizeof(Table));
+  if( pTab==0 ) return WRC_Abort;
+  pTab->nTabRef = 1;
+  if( pFrom->zAlias ){
+    pTab->zName = sqlite3DbStrDup(pParse->db, pFrom->zAlias);
+  }else{
+    pTab->zName = sqlite3MPrintf(pParse->db, "subquery_%p", (void*)pTab);
+  }
+  while( pSel->pPrior ){ pSel = pSel->pPrior; }
+  sqlite3ColumnsFromExprList(pParse, pSel->pEList,&pTab->nCol,&pTab->aCol);
+  pTab->iPKey = -1;
+  pTab->nRowLogEst = 200; assert( 200==sqlite3LogEst(1048576) );
+  pTab->tabFlags |= TF_Ephemeral;
+
+  return WRC_Continue;
+}
+
 /*
 ** This routine is a Walker callback for "expanding" a SELECT statement.
 ** "Expanding" means to do the following:
@@ -4660,6 +4684,8 @@ static int selectExpander(Walker *pWalker, Select *p){
       assert( pSel!=0 );
       assert( pFrom->pTab==0 );
       if( sqlite3WalkSelect(pWalker, pSel) ) return WRC_Abort;
+      if( selectExpandSubquery(pParse, pFrom) ) return WRC_Abort;
+#if 0
       pFrom->pTab = pTab = sqlite3DbMallocZero(db, sizeof(Table));
       if( pTab==0 ) return WRC_Abort;
       pTab->nTabRef = 1;
@@ -4673,6 +4699,7 @@ static int selectExpander(Walker *pWalker, Select *p){
       pTab->iPKey = -1;
       pTab->nRowLogEst = 200; assert( 200==sqlite3LogEst(1048576) );
       pTab->tabFlags |= TF_Ephemeral;
+#endif
 #endif
     }else{
       /* An ordinary table or view name in the FROM clause */
@@ -5375,6 +5402,201 @@ static int countOfViewOptimization(Parse *pParse, Select *p){
 }
 #endif /* SQLITE_COUNTOFVIEW_OPTIMIZATION */
 
+typedef struct WindowRewrite WindowRewrite;
+struct WindowRewrite {
+  Window *pWin;
+  ExprList *pSub;
+};
+
+static int selectWindowRewriteSelectCb(Walker *pWalker, Select *pSelect){
+  return WRC_Prune;
+}
+
+static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
+  struct WindowRewrite *p = pWalker->u.pRewrite;
+  Parse *pParse = pWalker->pParse;
+  int rc = WRC_Continue;
+
+  switch( pExpr->op ){
+    case TK_COLUMN: {
+      Expr *pDup = sqlite3ExprDup(pParse->db, pExpr, 0);
+      p->pSub = sqlite3ExprListAppend(pParse, p->pSub, pDup);
+      if( p->pSub ){
+        assert( ExprHasProperty(pExpr, EP_Static)==0 );
+        ExprSetProperty(pExpr, EP_Static);
+        sqlite3ExprDelete(pParse->db, pExpr);
+        ExprClearProperty(pExpr, EP_Static);
+        memset(pExpr, 0, sizeof(Expr));
+
+        pExpr->op = TK_COLUMN;
+        pExpr->iColumn = p->pSub->nExpr-1;
+        pExpr->iTable = p->pWin->iEphCsr;
+      }
+
+      break;
+    }
+
+    case TK_FUNCTION:
+      if( pExpr->pWin ){
+        rc = WRC_Prune;
+        pExpr->pWin->pOwner = pExpr;
+      }
+      break;
+
+    default: /* no-op */
+      break;
+  }
+
+  return rc;
+}
+
+static int selectWindowRewriteEList(
+  Parse *pParse, 
+  Window *pWin,
+  ExprList *pEList,               /* Rewrite expressions in this list */
+  ExprList **ppSub                /* IN/OUT: Sub-select expression-list */
+){
+  Walker sWalker;
+  WindowRewrite sRewrite;
+  int rc;
+
+  memset(&sWalker, 0, sizeof(Walker));
+  memset(&sRewrite, 0, sizeof(WindowRewrite));
+
+  sRewrite.pSub = *ppSub;
+  sRewrite.pWin = pWin;
+
+  sWalker.pParse = pParse;
+  sWalker.xExprCallback = selectWindowRewriteExprCb;
+  sWalker.xSelectCallback = selectWindowRewriteSelectCb;
+  sWalker.u.pRewrite = &sRewrite;
+
+  rc = sqlite3WalkExprList(&sWalker, pEList);
+
+  *ppSub = sRewrite.pSub;
+  return rc;
+}
+
+static ExprList *exprListAppendList(
+  Parse *pParse,          /* Parsing context */
+  ExprList *pList,        /* List to which to append. Might be NULL */
+  ExprList *pAppend       /* List of values to append. Might be NULL */
+){
+  if( pAppend ){
+    int i;
+    int nInit = pList ? pList->nExpr : 0;
+    for(i=0; i<pAppend->nExpr; i++){
+      Expr *pDup = sqlite3ExprDup(pParse->db, pAppend->a[i].pExpr, 0);
+      pList = sqlite3ExprListAppend(pParse, pList, pDup);
+      if( pList ) pList->a[nInit+i].sortOrder = pAppend->a[i].sortOrder;
+    }
+  }
+  return pList;
+}
+
+/*
+** If the SELECT statement passed as the second argument does not invoke
+** any SQL window functions, this function is a no-op. Otherwise, it 
+** rewrites the SELECT statement so that window function xStep functions
+** are invoked in the correct order. The simplest version of the 
+** transformation is:
+**
+**   SELECT win(args...) OVER (<list1>) FROM <src> ORDER BY <list2>
+**
+** to
+**
+**   SELECT win(args...) FROM (
+**     SELECT args... FROM <src> ORDER BY <list1>
+**   ) ORDER BY <list2>
+**
+** where <src> may contain WHERE, GROUP BY and HAVING clauses, and <list1>
+** is the concatenation of the PARTITION BY and ORDER BY clauses in the
+** OVER clause.
+**
+*/
+static int selectWindowRewrite(Parse *pParse, Select *p){
+  int rc = SQLITE_OK;
+  if( p->pWin ){
+    Vdbe *v = sqlite3GetVdbe(pParse);
+    int i;
+    sqlite3 *db = pParse->db;
+    Select *pSub = 0;             /* The subquery */
+    SrcList *pSrc = p->pSrc;
+    Expr *pWhere = p->pWhere;
+    ExprList *pGroupBy = p->pGroupBy;
+    Expr *pHaving = p->pHaving;
+    ExprList *pSort = 0;
+
+    ExprList *pSublist = 0;       /* Expression list for sub-query */
+    Window *pWin = p->pWin;
+
+    /* TODO: This is of course temporary requirements */
+    assert( pWin->pNextWin==0 );
+
+    p->pSrc = 0;
+    p->pWhere = 0;
+    p->pGroupBy = 0;
+    p->pHaving = 0;
+
+    pWin->regAccum = ++pParse->nMem;
+    pWin->regResult = ++pParse->nMem;
+
+    /* Assign a cursor number for the ephemeral table used to buffer rows.
+    ** The OpenEphemeral instruction is coded later, after it is known how
+    ** many columns the table will have.  */
+    pWin->iEphCsr = pParse->nTab++;
+
+    rc = selectWindowRewriteEList(pParse, pWin, p->pEList, &pSublist);
+    if( rc ) return rc;
+    rc = selectWindowRewriteEList(pParse, pWin, p->pOrderBy, &pSublist);
+    if( rc ) return rc;
+    pWin->nBufferCol = (pSublist ? pSublist->nExpr : 0);
+
+    /* Create the ORDER BY clause for the sub-select. This is the concatenation
+    ** of the window PARTITION and ORDER BY clauses. Append the same 
+    ** expressions to the sub-select expression list. They are required to
+    ** figure out where boundaries for partitions and sets of peer rows.  */
+    pSort = sqlite3ExprListDup(db, pWin->pPartition, 0);
+    if( pWin->pOrderBy ){
+      pSort = exprListAppendList(pParse, pSort, pWin->pOrderBy);
+    }
+    pSublist = exprListAppendList(pParse, pSublist, pSort);
+
+    /* Also append the arguments passed to the window function to the
+    ** sub-select expression list. */
+    pWin->iArgCol = (pSublist ? pSublist->nExpr : 0);
+    pSublist = exprListAppendList(pParse, pSublist, pWin->pOwner->x.pList);
+
+    pSub = sqlite3SelectNew(
+        pParse, pSublist, pSrc, pWhere, pGroupBy, pHaving, pSort, 0, 0
+    );
+    p->pSrc = sqlite3SrcListAppend(db, 0, 0, 0);
+    if( p->pSrc ){
+      int iTab;
+      ExprList *pList = 0;
+      p->pSrc->a[0].pSelect = pSub;
+      sqlite3SrcListAssignCursors(pParse, p->pSrc);
+      if( selectExpandSubquery(pParse, &p->pSrc->a[0]) ){
+        rc = SQLITE_NOMEM;
+      }else{
+        pSub->selFlags |= SF_Expanded;
+      }
+    }
+
+#if SELECTTRACE_ENABLED
+    if( sqlite3SelectTrace & 0x108 ){
+      SELECTTRACE(0x104,pParse,p, ("after window rewrite:\n"));
+      sqlite3TreeViewSelect(0, p, 0);
+    }
+#endif
+
+    sqlite3VdbeAddOp2(v, OP_OpenEphemeral, pWin->iEphCsr, pWin->nBufferCol);
+    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
+  }
+
+  return rc;
+}
+
 /*
 ** Generate code for the SELECT statement given in the p argument.  
 **
@@ -5443,7 +5665,6 @@ int sqlite3Select(
   sqlite3SelectPrep(pParse, p, 0);
   memset(&sSort, 0, sizeof(sSort));
   sSort.pOrderBy = p->pOrderBy;
-  pTabList = p->pSrc;
   if( pParse->nErr || db->mallocFailed ){
     goto select_end;
   }
@@ -5460,6 +5681,11 @@ int sqlite3Select(
     generateColumnNames(pParse, p);
   }
 
+  if( (rc = selectWindowRewrite(pParse, p)) ){
+    goto select_end;
+  }
+  pTabList = p->pSrc;
+
   /* Try to various optimizations (flattening subqueries, and strength
   ** reduction of join operators) in the FROM clause up into the main query
   */
@@ -5833,11 +6059,24 @@ int sqlite3Select(
   }
 
   if( !isAgg && pGroupBy==0 ){
+    Window *pWin = p->pWin;
+    int regPart = 0;
+
     /* No aggregate functions and no GROUP BY clause */
     u16 wctrlFlags = (sDistinct.isTnct ? WHERE_WANT_DISTINCT : 0);
     assert( WHERE_USE_LIMIT==SF_FixedLimit );
     wctrlFlags |= p->selFlags & SF_FixedLimit;
 
+    if( pWin ){
+      int nPart = (pWin->pPartition ? pWin->pPartition->nExpr : 0);
+      nPart += (pWin->pOrderBy ? pWin->pOrderBy->nExpr : 0);
+      if( nPart ){
+        regPart = pParse->nMem+1;
+        pParse->nMem += nPart;
+        sqlite3VdbeAddOp3(v, OP_Null, 0, regPart, regPart+nPart-1);
+      }
+    }
+
     /* Begin the database scan. */
     SELECTTRACE(1,pParse,p,("WhereBegin\n"));
     pWInfo = sqlite3WhereBegin(pParse, pTabList, pWhere, sSort.pOrderBy,
@@ -5865,15 +6104,117 @@ int sqlite3Select(
       sqlite3VdbeChangeToNoop(v, sSort.addrSortIndex);
     }
 
-    /* Use the standard inner loop. */
     assert( p->pEList==pEList );
-    selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest,
-                    sqlite3WhereContinueLabel(pWInfo),
-                    sqlite3WhereBreakLabel(pWInfo));
+    if( p->pWin ){
+      int k;
+      int iSubCsr = p->pSrc->a[0].iCursor;
+      int nSub = p->pSrc->a[0].pTab->nCol;
+      int reg = pParse->nMem+1;
+      int regRecord = reg+nSub;
+      int regRowid = regRecord+1;
+      int regGosub = regRowid+1;
+      int addr;
+      int addrGosub;
 
-    /* End the database scan loop.
-    */
-    sqlite3WhereEnd(pWInfo);
+      pParse->nMem += nSub + 3;
+
+      /* Martial the row returned by the sub-select into an array of 
+      ** registers. */
+      for(k=0; k<nSub; k++){
+        sqlite3VdbeAddOp3(v, OP_Column, iSubCsr, k, reg+k);
+      }
+
+      /* Check if this is the start of a new partition or peer group. */
+      if( regPart ){
+        ExprList *pPart = pWin->pPartition;
+        int nPart = (pPart ? pPart->nExpr : 0);
+        ExprList *pOrderBy = pWin->pOrderBy;
+        int nPeer = (pOrderBy ? pOrderBy->nExpr : 0);
+        int addrGoto = 0;
+        int addrJump = 0;
+
+        if( pPart ){
+          int regNewPart = reg + pWin->nBufferCol;
+          KeyInfo *pKeyInfo = keyInfoFromExprList(pParse, pPart, 0, 0);
+          addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, regPart, nPart);
+          sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+          addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+          sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+          sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+          sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+          if( pOrderBy ){
+            addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
+          }
+        }
+
+        if( pOrderBy ){
+          int regNewPeer = reg + pWin->nBufferCol + nPart;
+          int regPeer = regPart + nPart;
+
+          KeyInfo *pKeyInfo = keyInfoFromExprList(pParse, pOrderBy, 0, 0);
+          if( addrJump ) sqlite3VdbeJumpHere(v, addrJump);
+          addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
+          sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+          addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+          sqlite3VdbeAddOp3(v, 
+              OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
+          );
+          sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+
+          if( addrGoto ) sqlite3VdbeJumpHere(v, addrGoto);
+        }
+
+        addrGosub = sqlite3VdbeAddOp1(v, OP_Gosub, regGosub);
+        sqlite3VdbeAddOp1(v, OP_ResetSorter, pWin->iEphCsr);
+        sqlite3VdbeAddOp3(v,OP_Copy,reg+pWin->nBufferCol,regPart,nPart+nPeer-1);
+
+        sqlite3VdbeJumpHere(v, addrJump);
+      }
+
+      /* Invoke step function for window functions */
+      sqlite3VdbeAddOp3(v, OP_AggStep0, 0, reg+pWin->iArgCol, pWin->regAccum);
+      sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+      sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+
+      /* Buffer the current row in the ephemeral table. */
+      if( pWin->nBufferCol>0 ){
+        sqlite3VdbeAddOp3(v, OP_MakeRecord, reg, pWin->nBufferCol, regRecord);
+      }else{
+        sqlite3VdbeAddOp2(v, OP_Blob, 0, regRecord);
+        sqlite3VdbeAppendP4(v, (void*)"", 0);
+      }
+      sqlite3VdbeAddOp2(v, OP_NewRowid, pWin->iEphCsr, regRowid);
+      sqlite3VdbeAddOp3(v, OP_Insert, pWin->iEphCsr, regRecord, regRowid);
+
+      /* End the database scan loop. */
+      sqlite3WhereEnd(pWInfo);
+
+      sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+      sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+      sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+      sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, sqlite3VdbeCurrentAddr(v)+2);
+
+      sqlite3VdbeAddOp0(v, OP_Goto);
+      if( regPart ){
+        sqlite3VdbeJumpHere(v, addrGosub);
+      }
+      addr = sqlite3VdbeAddOp1(v, OP_Rewind, pWin->iEphCsr);
+      selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest, addr+1, 0);
+      sqlite3VdbeAddOp2(v, OP_Next, pWin->iEphCsr, addr+1);
+      sqlite3VdbeJumpHere(v, addr);
+      sqlite3VdbeAddOp1(v, OP_Return, regGosub);
+      sqlite3VdbeJumpHere(v, addr-1);       /* OP_Goto jumps here */
+
+    }else{
+      /* Use the standard inner loop. */
+      selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest,
+          sqlite3WhereContinueLabel(pWInfo),
+          sqlite3WhereBreakLabel(pWInfo));
+
+      /* End the database scan loop.
+      */
+      sqlite3WhereEnd(pWInfo);
+    }
   }else{
     /* This case when there exist aggregate functions or a GROUP BY clause
     ** or both */
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 7b19e0a98f..8a1376fd23 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -1107,6 +1107,7 @@ typedef struct VTable VTable;
 typedef struct VtabCtx VtabCtx;
 typedef struct Walker Walker;
 typedef struct WhereInfo WhereInfo;
+typedef struct Window Window;
 typedef struct With With;
 
 /* A VList object records a mapping between parameters/variables/wildcards
@@ -1588,6 +1589,8 @@ struct FuncDef {
   FuncDef *pNext;      /* Next function with same name */
   void (*xSFunc)(sqlite3_context*,int,sqlite3_value**); /* func or agg-step */
   void (*xFinalize)(sqlite3_context*);                  /* Agg finalizer */
+  void (*xValue)(sqlite3_context*);                     /* Current agg value */
+  void (*xInverse)(sqlite3_context*,int,sqlite3_value**); /* inverse agg-step */
   const char *zName;   /* SQL name of the function. */
   union {
     FuncDef *pHash;      /* Next with a different name but the same hash */
@@ -1678,6 +1681,12 @@ struct FuncDestructor {
 **     are interpreted in the same way as the first 4 parameters to
 **     FUNCTION().
 **
+**   WFUNCTION(zName, nArg, iArg, xStep, xFinal, xValue, xInverse)
+**     Used to create an aggregate function definition implemented by
+**     the C functions xStep and xFinal. The first four parameters
+**     are interpreted in the same way as the first 4 parameters to
+**     FUNCTION().
+**
 **   LIKEFUNC(zName, nArg, pArg, flags)
 **     Used to create a scalar function definition of a function zName
 **     that accepts nArg arguments and is implemented by a call to C
@@ -1688,31 +1697,35 @@ struct FuncDestructor {
 */
 #define FUNCTION(zName, nArg, iArg, bNC, xFunc) \
   {nArg, SQLITE_FUNC_CONSTANT|SQLITE_UTF8|(bNC*SQLITE_FUNC_NEEDCOLL), \
-   SQLITE_INT_TO_PTR(iArg), 0, xFunc, 0, #zName, {0} }
+   SQLITE_INT_TO_PTR(iArg), 0, xFunc, 0, 0, 0, #zName, {0} }
 #define VFUNCTION(zName, nArg, iArg, bNC, xFunc) \
   {nArg, SQLITE_UTF8|(bNC*SQLITE_FUNC_NEEDCOLL), \
-   SQLITE_INT_TO_PTR(iArg), 0, xFunc, 0, #zName, {0} }
+   SQLITE_INT_TO_PTR(iArg), 0, xFunc, 0, 0, 0, #zName, {0} }
 #define DFUNCTION(zName, nArg, iArg, bNC, xFunc) \
   {nArg, SQLITE_FUNC_SLOCHNG|SQLITE_UTF8, \
-   0, 0, xFunc, 0, #zName, {0} }
+   0, 0, xFunc, 0, 0, 0, #zName, {0} }
 #define PURE_DATE(zName, nArg, iArg, bNC, xFunc) \
   {nArg, SQLITE_FUNC_SLOCHNG|SQLITE_UTF8|SQLITE_FUNC_CONSTANT, \
-   (void*)&sqlite3Config, 0, xFunc, 0, #zName, {0} }
+   (void*)&sqlite3Config, 0, xFunc, 0, 0, 0, #zName, {0} }
 #define FUNCTION2(zName, nArg, iArg, bNC, xFunc, extraFlags) \
   {nArg,SQLITE_FUNC_CONSTANT|SQLITE_UTF8|(bNC*SQLITE_FUNC_NEEDCOLL)|extraFlags,\
-   SQLITE_INT_TO_PTR(iArg), 0, xFunc, 0, #zName, {0} }
+   SQLITE_INT_TO_PTR(iArg), 0, xFunc, 0, 0, 0, #zName, {0} }
 #define STR_FUNCTION(zName, nArg, pArg, bNC, xFunc) \
   {nArg, SQLITE_FUNC_SLOCHNG|SQLITE_UTF8|(bNC*SQLITE_FUNC_NEEDCOLL), \
-   pArg, 0, xFunc, 0, #zName, }
+   pArg, 0, xFunc, 0, 0, 0, #zName, }
 #define LIKEFUNC(zName, nArg, arg, flags) \
   {nArg, SQLITE_FUNC_CONSTANT|SQLITE_UTF8|flags, \
-   (void *)arg, 0, likeFunc, 0, #zName, {0} }
+   (void *)arg, 0, likeFunc, 0, 0, 0, #zName, {0} }
 #define AGGREGATE(zName, nArg, arg, nc, xStep, xFinal) \
   {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL), \
-   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,#zName, {0}}
+   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,0,0,#zName, {0}}
 #define AGGREGATE2(zName, nArg, arg, nc, xStep, xFinal, extraFlags) \
   {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL)|extraFlags, \
-   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,#zName, {0}}
+   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,0,0,#zName, {0}}
+
+#define WFUNCTION(zName, nArg, arg, xStep, xFinal, xValue, xInverse) \
+  {nArg, SQLITE_UTF8, \
+   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xValue,xInverse,#zName, {0}}
 
 /*
 ** All current savepoints are stored in a linked list starting at
@@ -2413,6 +2426,7 @@ struct Expr {
   AggInfo *pAggInfo;     /* Used by TK_AGG_COLUMN and TK_AGG_FUNCTION */
   Table *pTab;           /* Table for TK_COLUMN expressions.  Can be NULL
                          ** for a column of an index on an expression */
+  Window *pWin;          /* Window definition for window functions */
 };
 
 /*
@@ -2699,6 +2713,7 @@ struct NameContext {
   int nRef;            /* Number of names resolved by this context */
   int nErr;            /* Number of errors encountered while resolving names */
   u16 ncFlags;         /* Zero or more NC_* flags defined below */
+  Window *pWin;        /* List of window functions in this context */
 };
 
 /*
@@ -2721,6 +2736,7 @@ struct NameContext {
 #define NC_UUpsert   0x0200  /* True if uNC.pUpsert is used */
 #define NC_MinMaxAgg 0x1000  /* min/max aggregates seen.  See note above */
 #define NC_Complex   0x2000  /* True if a function or subquery seen */
+#define NC_AllowWin  0x4000  /* Window functions are allowed here */
 
 /*
 ** An instance of the following object describes a single ON CONFLICT
@@ -2788,6 +2804,7 @@ struct Select {
   Select *pNext;         /* Next select to the left in a compound */
   Expr *pLimit;          /* LIMIT expression. NULL means not used. */
   With *pWith;           /* WITH clause attached to this select. Or NULL. */
+  Window *pWin;          /* List of window functions */
 };
 
 /*
@@ -3401,6 +3418,7 @@ struct Walker {
     struct IdxExprTrans *pIdxTrans;           /* Convert idxed expr to column */
     ExprList *pGroupBy;                       /* GROUP BY clause */
     Select *pSelect;                          /* HAVING to WHERE clause ctx */
+    struct WindowRewrite *pRewrite;           /* Window rewrite context */
   } u;
 };
 
@@ -3451,6 +3469,31 @@ struct TreeView {
 };
 #endif /* SQLITE_DEBUG */
 
+struct Window {
+  Expr *pFilter;
+  ExprList *pPartition;
+  ExprList *pOrderBy;
+  u8 eType;               /* TK_RANGE or TK_ROWS */
+  u8 eStart;              /* UNBOUNDED, CURRENT, PRECEDING or FOLLOWING */
+  u8 eEnd;                /* UNBOUNDED, CURRENT, PRECEDING or FOLLOWING */
+  Expr *pStart;           /* Expression for "<expr> PRECEDING" */
+  Expr *pEnd;             /* Expression for "<expr> FOLLOWING" */
+  Window *pNextWin;       /* Next window function belonging to this SELECT */
+  int iEphCsr;            /* Temp table used by this window */
+  int regAccum;
+  int regResult;
+  FuncDef *pFunc;
+  int nArg;
+
+  Expr *pOwner;           /* Expression object this window is attached to */
+  int nBufferCol;         /* Number of columns in buffer table */
+  int iArgCol;            /* Offset of first argument for this function */
+};
+
+void sqlite3WindowDelete(sqlite3*, Window*);
+Window *sqlite3WindowAlloc(Parse*, int, int, Expr*, int , Expr*);
+void sqlite3WindowAttach(Parse*, Expr*, Window*);
+
 /*
 ** Assuming zIn points to the first byte of a UTF-8 character,
 ** advance zIn to point to the first byte of the next UTF-8 character.
diff --git a/src/test1.c b/src/test1.c
index f2511d259a..b62c3104f9 100644
--- a/src/test1.c
+++ b/src/test1.c
@@ -7798,6 +7798,9 @@ int Sqlitetest1_Init(Tcl_Interp *interp){
 #ifdef SQLITE_ENABLE_FTS3
   extern int sqlite3_fts3_enable_parentheses;
 #endif
+#endif
+#if defined(SQLITE_ENABLE_SELECTTRACE)
+  extern int sqlite3SelectTrace;
 #endif
 
   for(i=0; i<sizeof(aCmd)/sizeof(aCmd[0]); i++){
@@ -7884,6 +7887,10 @@ int Sqlitetest1_Init(Tcl_Interp *interp){
       (char*)&sqlite3_sync_count, TCL_LINK_INT);
   Tcl_LinkVar(interp, "sqlite_fullsync_count",
       (char*)&sqlite3_fullsync_count, TCL_LINK_INT);
+#if defined(SQLITE_ENABLE_SELECTTRACE)
+  Tcl_LinkVar(interp, "sqlite3SelectTrace",
+      (char*)&sqlite3SelectTrace, TCL_LINK_INT);
+#endif
 #if defined(SQLITE_ENABLE_FTS3) && defined(SQLITE_TEST)
   Tcl_LinkVar(interp, "sqlite_fts3_enable_parentheses",
       (char*)&sqlite3_fts3_enable_parentheses, TCL_LINK_INT);
diff --git a/src/vdbe.c b/src/vdbe.c
index 70537ce114..7ab1044552 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -6313,7 +6313,11 @@ case OP_AggFinal: {
   assert( pOp->p1>0 && pOp->p1<=(p->nMem+1 - p->nCursor) );
   pMem = &aMem[pOp->p1];
   assert( (pMem->flags & ~(MEM_Null|MEM_Agg))==0 );
-  rc = sqlite3VdbeMemFinalize(pMem, pOp->p4.pFunc);
+  if( pOp->p3 ){
+    rc = sqlite3VdbeMemAggValue(pMem, &aMem[pOp->p3], pOp->p4.pFunc);
+  }else{
+    rc = sqlite3VdbeMemFinalize(pMem, pOp->p4.pFunc);
+  }
   if( rc ){
     sqlite3VdbeError(p, "%s", sqlite3_value_text(pMem));
     goto abort_due_to_error;
diff --git a/src/vdbeInt.h b/src/vdbeInt.h
index 44f901abf7..24d6bf91d3 100644
--- a/src/vdbeInt.h
+++ b/src/vdbeInt.h
@@ -494,6 +494,7 @@ void sqlite3VdbeMemCast(Mem*,u8,u8);
 int sqlite3VdbeMemFromBtree(BtCursor*,u32,u32,Mem*);
 void sqlite3VdbeMemRelease(Mem *p);
 int sqlite3VdbeMemFinalize(Mem*, FuncDef*);
+int sqlite3VdbeMemAggValue(Mem*, Mem*, FuncDef*);
 const char *sqlite3OpcodeName(int);
 int sqlite3VdbeMemGrow(Mem *pMem, int n, int preserve);
 int sqlite3VdbeMemClearAndResize(Mem *pMem, int n);
diff --git a/src/vdbemem.c b/src/vdbemem.c
index d118d2bb9a..a64ed09633 100644
--- a/src/vdbemem.c
+++ b/src/vdbemem.c
@@ -415,6 +415,23 @@ int sqlite3VdbeMemFinalize(Mem *pMem, FuncDef *pFunc){
   return ctx.isError;
 }
 
+int sqlite3VdbeMemAggValue(Mem *pAccum, Mem *pOut, FuncDef *pFunc){
+  sqlite3_context ctx;
+  Mem t;
+  assert( pFunc!=0 );
+  assert( pFunc->xValue!=0 );
+  assert( (pAccum->flags & MEM_Null)!=0 || pFunc==pAccum->u.pDef );
+  assert( pAccum->db==0 || sqlite3_mutex_held(pAccum->db->mutex) );
+  memset(&ctx, 0, sizeof(ctx));
+  memset(&t, 0, sizeof(t));
+  t.flags = MEM_Null;
+  t.db = pAccum->db;
+  ctx.pOut = pOut;
+  ctx.pMem = pAccum;
+  ctx.pFunc = pFunc;
+  pFunc->xValue(&ctx);
+  return ctx.isError;
+}
 /*
 ** If the memory cell contains a value that must be freed by
 ** invoking the external callback in Mem.xDel, then this routine
diff --git a/src/window.c b/src/window.c
new file mode 100644
index 0000000000..57d4674247
--- /dev/null
+++ b/src/window.c
@@ -0,0 +1,53 @@
+/*
+**
+** The author disclaims copyright to this source code.  In place of
+** a legal notice, here is a blessing:
+**
+**    May you do good and not evil.
+**    May you find forgiveness for yourself and forgive others.
+**    May you share freely, never taking more than you give.
+**
+*************************************************************************
+*/
+#include "sqliteInt.h"
+
+void sqlite3WindowDelete(sqlite3 *db, Window *p){
+  if( p ){
+    sqlite3ExprDelete(db, p->pFilter);
+    sqlite3ExprListDelete(db, p->pPartition);
+    sqlite3ExprListDelete(db, p->pOrderBy);
+    sqlite3ExprDelete(db, p->pEnd);
+    sqlite3ExprDelete(db, p->pStart);
+    sqlite3DbFree(db, p);
+  }
+}
+
+Window *sqlite3WindowAlloc(
+  Parse *pParse, 
+  int eType,
+  int eEnd, Expr *pEnd, 
+  int eStart, Expr *pStart
+){
+  Window *pWin = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
+
+  if( pWin ){
+    pWin->eType = eType;
+    pWin->eStart = eStart;
+    pWin->eEnd = eEnd;
+    pWin->pEnd = pEnd;
+    pWin->pStart = pStart;
+  }else{
+    sqlite3ExprDelete(pParse->db, pEnd);
+    sqlite3ExprDelete(pParse->db, pStart);
+  }
+
+  return pWin;
+}
+
+void sqlite3WindowAttach(Parse *pParse, Expr *p, Window *pWin){
+  if( p ){
+    p->pWin = pWin;
+  }else{
+    sqlite3WindowDelete(pParse->db, pWin);
+  }
+}
diff --git a/test/permutations.test b/test/permutations.test
index 52e2509fc1..d240b34da8 100644
--- a/test/permutations.test
+++ b/test/permutations.test
@@ -167,7 +167,7 @@ test_suite "veryquick" -prefix "" -description {
   that test malloc and IO errors are omitted.
 } -files [
   test_set $allquicktests -exclude *malloc* *ioerr* *fault* *bigfile* *_err* \
-      *fts5corrupt* *fts5big* *fts5aj*
+      *fts5corrupt* *fts5big* *fts5aj* *expert* table.test
 ]
 
 test_suite "extraquick" -prefix "" -description {
diff --git a/test/window1.test b/test/window1.test
new file mode 100644
index 0000000000..70961f8c6d
--- /dev/null
+++ b/test/window1.test
@@ -0,0 +1,112 @@
+# 2018 May 8
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library.
+#
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+set testprefix window1
+
+
+do_execsql_test 1.0 {
+  CREATE TABLE t1(a, b, c, d);
+  INSERT INTO t1 VALUES(1, 2, 3, 4);
+  INSERT INTO t1 VALUES(5, 6, 7, 8);
+  INSERT INTO t1 VALUES(9, 10, 11, 12);
+}
+
+do_execsql_test 1.1 {
+  SELECT sum(b) OVER () FROM t1
+} {18 18 18}
+
+do_execsql_test 1.2 {
+  SELECT a, sum(b) OVER () FROM t1
+} {1 18 5 18 9 18}
+
+do_execsql_test 1.3 {
+  SELECT a, 4 + sum(b) OVER () FROM t1
+} {1 22 5 22 9 22}
+
+do_execsql_test 1.4 {
+  SELECT a + 4 + sum(b) OVER () FROM t1
+} {23 27 31}
+
+do_execsql_test 1.5 {
+  SELECT a, sum(b) OVER (PARTITION BY c) FROM t1
+} {1 2 5 6 9 10}
+
+foreach {tn sql} {
+  1 "SELECT sum(b) OVER () FROM t1"
+  2 "SELECT sum(b) OVER (PARTITION BY c) FROM t1"
+  3 "SELECT sum(b) OVER (ORDER BY c) FROM t1"
+  4 "SELECT sum(b) OVER (PARTITION BY d ORDER BY c) FROM t1"
+  5 "SELECT sum(b) FILTER (WHERE a>0) OVER (PARTITION BY d ORDER BY c) FROM t1"
+  6 "SELECT sum(b) OVER (ORDER BY c RANGE UNBOUNDED PRECEDING) FROM t1"
+  7 "SELECT sum(b) OVER (ORDER BY c ROWS 45 PRECEDING) FROM t1"
+  8 "SELECT sum(b) OVER (ORDER BY c RANGE CURRENT ROW) FROM t1"
+  9 "SELECT sum(b) OVER (ORDER BY c RANGE BETWEEN UNBOUNDED PRECEDING 
+     AND CURRENT ROW) FROM t1"
+ 10 "SELECT sum(b) OVER (ORDER BY c ROWS BETWEEN UNBOUNDED PRECEDING 
+     AND UNBOUNDED FOLLOWING) FROM t1"
+} {
+  do_test 2.$tn { lindex [catchsql $sql] 0 } 0
+}
+
+foreach {tn sql} {
+  1 "SELECT * FROM t1 WHERE sum(b) OVER ()"
+  2 "SELECT * FROM t1 GROUP BY sum(b) OVER ()"
+  3 "SELECT * FROM t1 GROUP BY a HAVING sum(b) OVER ()"
+} {
+  do_catchsql_test 3.$tn $sql {1 {misuse of window function sum()}}
+}
+
+do_execsql_test 4.0 {
+  CREATE TABLE t2(a, b, c);
+  INSERT INTO t2 VALUES(0, 0, 0);
+  INSERT INTO t2 VALUES(1, 1, 1);
+  INSERT INTO t2 VALUES(2, 0, 2);
+  INSERT INTO t2 VALUES(3, 1, 0);
+  INSERT INTO t2 VALUES(4, 0, 1);
+  INSERT INTO t2 VALUES(5, 1, 2);
+  INSERT INTO t2 VALUES(6, 0, 0);
+}
+
+do_execsql_test 4.1 {
+  SELECT a, sum(a) OVER (PARTITION BY b) FROM t2;
+} {
+  0 12  2 12  4 12  6 12   1  9  3  9  5  9 
+}
+
+do_execsql_test 4.2 {
+  SELECT a, sum(a) OVER (PARTITION BY b) FROM t2 ORDER BY a;
+} {
+  0 12  1  9  2 12  3  9  4 12  5  9 6 12   
+}
+
+do_execsql_test 4.3 {
+  SELECT a, sum(a) OVER () FROM t2 ORDER BY a;
+} {
+  0 21  1  21  2 21  3  21  4 21  5  21 6 21   
+}
+
+do_execsql_test 4.4 {
+  SELECT a, sum(a) OVER (ORDER BY a) FROM t2;
+} {
+  0 0  1 1  2 3  3 6  4 10  5 15  6 21
+}
+
+do_execsql_test 4.5 {
+  SELECT a, sum(a) OVER (PARTITION BY b ORDER BY a) FROM t2 ORDER BY a
+} {
+  0 0  1 1  2 2  3 4  4 6  5 9  6 12
+}
+
+finish_test
diff --git a/tool/mkkeywordhash.c b/tool/mkkeywordhash.c
index ec85131b64..75e691894f 100644
--- a/tool/mkkeywordhash.c
+++ b/tool/mkkeywordhash.c
@@ -180,6 +180,7 @@ static Keyword aKeywordTable[] = {
   { "CONSTRAINT",       "TK_CONSTRAINT",   ALWAYS                 },
   { "CREATE",           "TK_CREATE",       ALWAYS                 },
   { "CROSS",            "TK_JOIN_KW",      ALWAYS                 },
+  { "CURRENT",          "TK_CURRENT",      ALWAYS                 },
   { "CURRENT_DATE",     "TK_CTIME_KW",     ALWAYS                 },
   { "CURRENT_TIME",     "TK_CTIME_KW",     ALWAYS                 },
   { "CURRENT_TIMESTAMP","TK_CTIME_KW",     ALWAYS                 },
@@ -202,6 +203,8 @@ static Keyword aKeywordTable[] = {
   { "EXISTS",           "TK_EXISTS",       ALWAYS                 },
   { "EXPLAIN",          "TK_EXPLAIN",      EXPLAIN                },
   { "FAIL",             "TK_FAIL",         CONFLICT|TRIGGER       },
+  { "FILTER",           "TK_FILTER",       ALWAYS                 },
+  { "FOLLOWING",        "TK_FOLLOWING",    ALWAYS                 },
   { "FOR",              "TK_FOR",          TRIGGER                },
   { "FOREIGN",          "TK_FOREIGN",      FKEY                   },
   { "FROM",             "TK_FROM",         ALWAYS                 },
@@ -241,11 +244,15 @@ static Keyword aKeywordTable[] = {
   { "OR",               "TK_OR",           ALWAYS                 },
   { "ORDER",            "TK_ORDER",        ALWAYS                 },
   { "OUTER",            "TK_JOIN_KW",      ALWAYS                 },
+  { "OVER",             "TK_OVER",         ALWAYS                 },
+  { "PARTITION",        "TK_PARTITION",    ALWAYS                 },
   { "PLAN",             "TK_PLAN",         EXPLAIN                },
   { "PRAGMA",           "TK_PRAGMA",       PRAGMA                 },
+  { "PRECEDING",        "TK_PRECEDING",    ALWAYS                 },
   { "PRIMARY",          "TK_PRIMARY",      ALWAYS                 },
   { "QUERY",            "TK_QUERY",        EXPLAIN                },
   { "RAISE",            "TK_RAISE",        TRIGGER                },
+  { "RANGE",            "TK_RANGE",        ALWAYS                 },
   { "RECURSIVE",        "TK_RECURSIVE",    CTE                    },
   { "REFERENCES",       "TK_REFERENCES",   FKEY                   },
   { "REGEXP",           "TK_LIKE_KW",      ALWAYS                 },
@@ -257,6 +264,7 @@ static Keyword aKeywordTable[] = {
   { "RIGHT",            "TK_JOIN_KW",      ALWAYS                 },
   { "ROLLBACK",         "TK_ROLLBACK",     ALWAYS                 },
   { "ROW",              "TK_ROW",          TRIGGER                },
+  { "ROWS",             "TK_ROWS",         ALWAYS                 },
   { "SAVEPOINT",        "TK_SAVEPOINT",    ALWAYS                 },
   { "SELECT",           "TK_SELECT",       ALWAYS                 },
   { "SET",              "TK_SET",          ALWAYS                 },
@@ -267,6 +275,7 @@ static Keyword aKeywordTable[] = {
   { "TO",               "TK_TO",           ALWAYS                 },
   { "TRANSACTION",      "TK_TRANSACTION",  ALWAYS                 },
   { "TRIGGER",          "TK_TRIGGER",      TRIGGER                },
+  { "UNBOUNDED",        "TK_UNBOUNDED",    ALWAYS                 },
   { "UNION",            "TK_UNION",        COMPOUND               },
   { "UNIQUE",           "TK_UNIQUE",       ALWAYS                 },
   { "UPDATE",           "TK_UPDATE",       ALWAYS                 },

From 2e362f9775ba05e353276039acc788e592fea0e4 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 17 May 2018 14:26:27 +0000
Subject: [PATCH 002/154] Handle multiple window-functions in a single query.

FossilOrigin-Name: 35af0b750e70dcf0f343b115f4bbd0860a7e8064be204d4dfba1a43c22ff07b1
---
 manifest          | 20 ++++++++------------
 manifest.uuid     |  2 +-
 src/expr.c        | 41 ++++++++++++++++++++++-------------------
 src/select.c      | 22 ++++++++++++----------
 test/window1.test | 27 +++++++++++++++++++++++++++
 5 files changed, 70 insertions(+), 42 deletions(-)

diff --git a/manifest b/manifest
index 35b0a7fb7c..6e807c14e0 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Start\sof\sexperimental\simplementation\sof\sSQL\swindow\sfunctions.\sDoes\snot\syet\nwork.
-D 2018-05-16T20:58:07.009
+C Handle\smultiple\swindow-functions\sin\sa\ssingle\squery.
+D 2018-05-17T14:26:27.790
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -445,7 +445,7 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 8db4c97f630e7d83f884ea75caf1ffd0988c160e9d530194d93721c80821e0f6
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c b0f90749e22d5e41a12dbf940f4811138cf97da54b46b737089b93eb64a2896f
-F src/expr.c 6e443e4f9fabd3125800076f2a7cd90c84d2c106ed1815cbe5e9c96af2b9eb74
+F src/expr.c af55e984d86b29f9cc1fbb785fd665ac254806d9ad5f791c668414dcb8ddcf0b
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c d617daf66b5515e2b42c1405b2b4984c30ca50fb705ab164271a9bf66c69e331
 F src/func.c 03c99a50c69f7d565e13179aad26af703b9df7752a4d690af1540c5e04ababc2
@@ -493,7 +493,7 @@ F src/printf.c 1d1b4a568a58d0f32a5ff26c6b98db8a6e1883467f343a6406263cacd2e60c21
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 8feaf2039bd1b17dd5021e0c5731cde741694b59032d0faf5c73df499c880ebf
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 0e82e32d3bd536c90e778c930cdf7dafa5afd886cc8c467c443ff95c38109e10
+F src/select.c 0b9d051a0b97d9ae20947e74f341dde248f15bbfda1834932b3d21097f4e080c
 F src/shell.c.in 53affa90711f280342f7238f9c9aa9dcaed321ec6218a18043cf92154ef8a704
 F src/sqlite.h.in 34be2d0d18bf4726538793bdc9854cd87f689fda4b3789515134cdbd68188cf4
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
@@ -1613,7 +1613,7 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test d1766b0cbaf87521a0245b18da8c907cc0d791b287a66e90c70f8b836985794d
+F test/window1.test c088fff1b97ec6dc51bc6c6df936e7d2fd2d4b2708fa9738fe13aa175a7e47c4
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1730,11 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P ed5b09680fd6659ebbe5ace3c1c56f3962bbd75cfdf65c7565651900cf87917a
-R 44bb3242b5e27ab54d0052d5f4fa0103
-T *branch * exp-window-functions
-T *sym-exp-window-functions *
-T +closed d103c041ccb3a009926b6aa34a283a7cb8e4a645711ecd7a3002a90558d02e9d
-T -sym-trunk *
+P 3781e520854808fe02ad3fe77dd11fc917448c58ff1fd79123289dd91937decd
+R ab1ec0d66b6e5c3f79bc48c2607263f7
 U dan
-Z 75ac74ab72bd7e468725d214860f2422
+Z dc655b7af30130730642201f8ff47123
diff --git a/manifest.uuid b/manifest.uuid
index 532ea1066b..85c6b4f80e 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-3781e520854808fe02ad3fe77dd11fc917448c58ff1fd79123289dd91937decd
\ No newline at end of file
+35af0b750e70dcf0f343b115f4bbd0860a7e8064be204d4dfba1a43c22ff07b1
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index a1407a85f9..faaca6c86b 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -772,6 +772,7 @@ Expr *sqlite3ExprAlloc(
     memset(pNew, 0, sizeof(Expr));
     pNew->op = (u8)op;
     pNew->iAgg = -1;
+    pNew->pWin = 0;
     if( pToken ){
       if( nExtra==0 ){
         pNew->flags |= EP_IntValue|EP_Leaf;
@@ -861,6 +862,7 @@ Expr *sqlite3PExpr(
       memset(p, 0, sizeof(Expr));
       p->op = op & TKFLG_MASK;
       p->iAgg = -1;
+      p->pWin = 0;
     }
     sqlite3ExprAttachSubtrees(pParse->db, p, pLeft, pRight);
   }
@@ -1180,6 +1182,24 @@ static int dupedExprSize(Expr *p, int flags){
   return nByte;
 }
 
+static Window *winDup(sqlite3 *db, Window *p){
+  Window *pNew = 0;
+  if( p ){
+    pNew = sqlite3DbMallocZero(db, sizeof(Window));
+    if( pNew ){
+      pNew->pFilter = sqlite3ExprDup(db, p->pFilter, 0);
+      pNew->pPartition = sqlite3ExprListDup(db, p->pPartition, 0);
+      pNew->pOrderBy = sqlite3ExprListDup(db, p->pOrderBy, 0);
+      pNew->eType = p->eType;
+      pNew->eEnd = p->eEnd;
+      pNew->eStart = p->eStart;
+      pNew->pStart = sqlite3ExprDup(db, pNew->pStart, 0);
+      pNew->pEnd = sqlite3ExprDup(db, pNew->pEnd, 0);
+    }
+  }
+  return pNew;
+}
+
 /*
 ** This function is similar to sqlite3ExprDup(), except that if pzBuffer 
 ** is not NULL then *pzBuffer is assumed to point to a buffer large enough 
@@ -1266,6 +1286,7 @@ static Expr *exprDup(sqlite3 *db, Expr *p, int dupFlags, u8 **pzBuffer){
         *pzBuffer = zAlloc;
       }
     }else{
+      pNew->pWin = winDup(db, p->pWin);
       if( !ExprHasProperty(p, EP_TokenOnly|EP_Leaf) ){
         if( pNew->op==TK_SELECT_COLUMN ){
           pNew->pLeft = p->pLeft;
@@ -1308,24 +1329,6 @@ static With *withDup(sqlite3 *db, With *p){
 # define withDup(x,y) 0
 #endif
 
-static Window *winDup(sqlite3 *db, Window *p){
-  Window *pNew = 0;
-  if( p ){
-    pNew = sqlite3DbMallocZero(db, sizeof(Window));
-    if( pNew ){
-      pNew->pFilter = sqlite3ExprDup(db, p->pFilter, 0);
-      pNew->pPartition = sqlite3ExprListDup(db, p->pPartition, 0);
-      pNew->pOrderBy = sqlite3ExprListDup(db, p->pOrderBy, 0);
-      pNew->eType = p->eType;
-      pNew->eEnd = p->eEnd;
-      pNew->eStart = p->eStart;
-      pNew->pStart = sqlite3ExprDup(db, pNew->pStart, 0);
-      pNew->pEnd = sqlite3ExprDup(db, pNew->pEnd, 0);
-    }
-  }
-  return pNew;
-}
-
 /*
 ** The following group of routines make deep copies of expressions,
 ** expression lists, ID lists, and select statements.  The copies can
@@ -1490,7 +1493,7 @@ Select *sqlite3SelectDup(sqlite3 *db, Select *pDup, int flags){
     pNew->addrOpenEphm[1] = -1;
     pNew->nSelectRow = p->nSelectRow;
     pNew->pWith = withDup(db, p->pWith);
-    pNew->pWin = winDup(db, p->pWin);
+    pNew->pWin = 0;
     sqlite3SelectSetName(pNew, p->zSelName);
     *pp = pNew;
     pp = &pNew->pPrior;
diff --git a/src/select.c b/src/select.c
index 2b5a3dc544..93e55b680f 100644
--- a/src/select.c
+++ b/src/select.c
@@ -5418,6 +5418,17 @@ static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
   int rc = WRC_Continue;
 
   switch( pExpr->op ){
+
+    case TK_FUNCTION:
+      if( pExpr->pWin==0 ){
+        break;
+      }else if( pExpr->pWin==p->pWin ){
+        rc = WRC_Prune;
+        pExpr->pWin->pOwner = pExpr;
+        break;
+      }
+      /* Fall through.  */
+
     case TK_COLUMN: {
       Expr *pDup = sqlite3ExprDup(pParse->db, pExpr, 0);
       p->pSub = sqlite3ExprListAppend(pParse, p->pSub, pDup);
@@ -5436,13 +5447,6 @@ static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
       break;
     }
 
-    case TK_FUNCTION:
-      if( pExpr->pWin ){
-        rc = WRC_Prune;
-        pExpr->pWin->pOwner = pExpr;
-      }
-      break;
-
     default: /* no-op */
       break;
   }
@@ -5530,9 +5534,6 @@ static int selectWindowRewrite(Parse *pParse, Select *p){
     ExprList *pSublist = 0;       /* Expression list for sub-query */
     Window *pWin = p->pWin;
 
-    /* TODO: This is of course temporary requirements */
-    assert( pWin->pNextWin==0 );
-
     p->pSrc = 0;
     p->pWhere = 0;
     p->pGroupBy = 0;
@@ -5581,6 +5582,7 @@ static int selectWindowRewrite(Parse *pParse, Select *p){
       }else{
         pSub->selFlags |= SF_Expanded;
       }
+      pWin->pNextWin = 0;
     }
 
 #if SELECTTRACE_ENABLED
diff --git a/test/window1.test b/test/window1.test
index 70961f8c6d..cfc14947f2 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -109,4 +109,31 @@ do_execsql_test 4.5 {
   0 0  1 1  2 2  3 4  4 6  5 9  6 12
 }
 
+do_execsql_test 4.6 {
+  SELECT a, sum(a) OVER (PARTITION BY c ORDER BY a) FROM t2 ORDER BY a
+} {
+  0 0  1 1  2 2  3 3  4 5  5 7  6 9
+}
+
+do_execsql_test 4.7 {
+  SELECT a, sum(a) OVER (PARTITION BY b ORDER BY a DESC) FROM t2 ORDER BY a
+} {
+  0 12  1 9  2 12  3 8  4 10  5 5  6 6
+}
+
+do_execsql_test 4.8 {
+  SELECT a, 
+    sum(a) OVER (PARTITION BY b ORDER BY a DESC),
+    sum(a) OVER (PARTITION BY c ORDER BY a) 
+  FROM t2 ORDER BY a
+} {
+  0  12  0
+  1   9  1 
+  2  12  2 
+  3   8  3 
+  4  10  5 
+  5   5  7 
+  6   6  9
+}
+
 finish_test

From e2f781b9d10fe358dfc999d8f0ae98f5b736adc0 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 17 May 2018 19:24:08 +0000
Subject: [PATCH 003/154] Evaluate multiple window functions in a single pass
 if they use the same window definition. Add xValue callbacks for other
 built-in aggregate functions.

FossilOrigin-Name: c9f0f140941660ff368e5bb5752d54feb1964b7a9eac986d4bfb8f24a1c20d86
---
 manifest          |  24 ++++-----
 manifest.uuid     |   2 +-
 src/expr.c        |   6 ++-
 src/func.c        |  28 ++++++++---
 src/resolve.c     |  14 +++---
 src/select.c      | 126 ++++++++++++++++++++++++++--------------------
 src/sqliteInt.h   |  13 ++---
 src/window.c      |  16 ++++++
 test/window1.test |  31 ++++++++++++
 9 files changed, 173 insertions(+), 87 deletions(-)

diff --git a/manifest b/manifest
index 6e807c14e0..d398b3ccfd 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Handle\smultiple\swindow-functions\sin\sa\ssingle\squery.
-D 2018-05-17T14:26:27.790
+C Evaluate\smultiple\swindow\sfunctions\sin\sa\ssingle\spass\sif\sthey\suse\sthe\ssame\nwindow\sdefinition.\sAdd\sxValue\scallbacks\sfor\sother\sbuilt-in\saggregate\nfunctions.
+D 2018-05-17T19:24:08.904
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -445,10 +445,10 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 8db4c97f630e7d83f884ea75caf1ffd0988c160e9d530194d93721c80821e0f6
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c b0f90749e22d5e41a12dbf940f4811138cf97da54b46b737089b93eb64a2896f
-F src/expr.c af55e984d86b29f9cc1fbb785fd665ac254806d9ad5f791c668414dcb8ddcf0b
+F src/expr.c 75cef2e9fa3318c284faeea2c259100b7538776ca47573bf45b7b45c06ba0825
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c d617daf66b5515e2b42c1405b2b4984c30ca50fb705ab164271a9bf66c69e331
-F src/func.c 03c99a50c69f7d565e13179aad26af703b9df7752a4d690af1540c5e04ababc2
+F src/func.c b1a5122c69ef13c7bf0100e792ca539a36034c1b50476233ded6d2f72afcfbfc
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -491,14 +491,14 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c 95a9dba7a5d032039a77775188cb3b6fb17f2fa1a0b7cd915b30b4b823383ffa
 F src/printf.c 1d1b4a568a58d0f32a5ff26c6b98db8a6e1883467f343a6406263cacd2e60c21
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c 8feaf2039bd1b17dd5021e0c5731cde741694b59032d0faf5c73df499c880ebf
+F src/resolve.c 446f60b2e0d2440bb233d6a69a4ed0f2ad030a4e63ac4b3cfc0e98cf73d9c5a3
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 0b9d051a0b97d9ae20947e74f341dde248f15bbfda1834932b3d21097f4e080c
+F src/select.c 2b4bc6bb66b85a9ba8bd4ad4161d0d6b32fcfdf6d472229a08364d3f0c407fe5
 F src/shell.c.in 53affa90711f280342f7238f9c9aa9dcaed321ec6218a18043cf92154ef8a704
 F src/sqlite.h.in 34be2d0d18bf4726538793bdc9854cd87f689fda4b3789515134cdbd68188cf4
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h ecb9f7d12a22f557d66cafd7a3ea1c2bbfb6773c4b274eb7410ac017c3e18472
+F src/sqliteInt.h 6b3400a90f179542045ed318c780bf73675b19b3de437506859adf998a41e125
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -581,7 +581,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 33cc7de721edb12ddae639b96f537535e237edcd576c8d946e4a0b66d912a5db
+F src/window.c 33d3751eb1442ce8a7e428e028cbc6c220359446a7ab2a9514244c3edfea1b63
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1613,7 +1613,7 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test c088fff1b97ec6dc51bc6c6df936e7d2fd2d4b2708fa9738fe13aa175a7e47c4
+F test/window1.test 5278e1578b55867e69e050376daef1eb6f6b4557fd728e5babb610c086af9f08
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 3781e520854808fe02ad3fe77dd11fc917448c58ff1fd79123289dd91937decd
-R ab1ec0d66b6e5c3f79bc48c2607263f7
+P 35af0b750e70dcf0f343b115f4bbd0860a7e8064be204d4dfba1a43c22ff07b1
+R e0e67ced56bb91a58c4c8146b7d7e3b8
 U dan
-Z dc655b7af30130730642201f8ff47123
+Z b68147f44c001ca2d08d81bf2dc7bdbf
diff --git a/manifest.uuid b/manifest.uuid
index 85c6b4f80e..5641f29536 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-35af0b750e70dcf0f343b115f4bbd0860a7e8064be204d4dfba1a43c22ff07b1
\ No newline at end of file
+c9f0f140941660ff368e5bb5752d54feb1964b7a9eac986d4bfb8f24a1c20d86
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index faaca6c86b..c93ce3f443 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -1286,7 +1286,11 @@ static Expr *exprDup(sqlite3 *db, Expr *p, int dupFlags, u8 **pzBuffer){
         *pzBuffer = zAlloc;
       }
     }else{
-      pNew->pWin = winDup(db, p->pWin);
+      if( ExprHasProperty(p, EP_Reduced|EP_TokenOnly) ){
+        pNew->pWin = 0;
+      }else{
+        pNew->pWin = winDup(db, p->pWin);
+      }
       if( !ExprHasProperty(p, EP_TokenOnly|EP_Leaf) ){
         if( pNew->op==TK_SELECT_COLUMN ){
           pNew->pLeft = p->pLeft;
diff --git a/src/func.c b/src/func.c
index f5a839d396..ea1fffaf0b 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1675,6 +1675,20 @@ static void groupConcatFinalize(sqlite3_context *context){
     }
   }
 }
+static void groupConcatValue(sqlite3_context *context){
+  sqlite3_str *pAccum;
+  pAccum = (sqlite3_str*)sqlite3_aggregate_context(context, 0);
+  if( pAccum ){
+    if( pAccum->accError==SQLITE_TOOBIG ){
+      sqlite3_result_error_toobig(context);
+    }else if( pAccum->accError==SQLITE_NOMEM ){
+      sqlite3_result_error_nomem(context);
+    }else{    
+      const char *zText = sqlite3_str_value(pAccum);
+      sqlite3_result_text(context, zText, -1, SQLITE_TRANSIENT);
+    }
+  }
+}
 
 /*
 ** This routine does per-connection function registration.  Most
@@ -1859,14 +1873,16 @@ void sqlite3RegisterBuiltinFunctions(void){
     FUNCTION(zeroblob,           1, 0, 0, zeroblobFunc     ),
     FUNCTION(substr,             2, 0, 0, substrFunc       ),
     FUNCTION(substr,             3, 0, 0, substrFunc       ),
-    WFUNCTION(sum,               1, 0, sumStep, sumFinalize, sumFinalize, 0),
-    AGGREGATE(total,             1, 0, 0, sumStep,         totalFinalize    ),
-    AGGREGATE(avg,               1, 0, 0, sumStep,         avgFinalize    ),
+    WAGGREGATE(sum,               1, 0, 0, sumStep,         sumFinalize),
+    WAGGREGATE(total,             1, 0, 0, sumStep,         totalFinalize    ),
+    WAGGREGATE(avg,               1, 0, 0, sumStep,         avgFinalize    ),
     AGGREGATE2(count,            0, 0, 0, countStep,       countFinalize,
                SQLITE_FUNC_COUNT  ),
-    AGGREGATE(count,             1, 0, 0, countStep,       countFinalize  ),
-    AGGREGATE(group_concat,      1, 0, 0, groupConcatStep, groupConcatFinalize),
-    AGGREGATE(group_concat,      2, 0, 0, groupConcatStep, groupConcatFinalize),
+    WAGGREGATE(count,             1, 0, 0, countStep,       countFinalize  ),
+    AGGREGATE(group_concat,      1, 0, 0, groupConcatStep, groupConcatFinalize,
+        groupConcatValue),
+    AGGREGATE(group_concat,      2, 0, 0, groupConcatStep, groupConcatFinalize,
+        groupConcatValue),
   
     LIKEFUNC(glob, 2, &globInfo, SQLITE_FUNC_LIKE|SQLITE_FUNC_CASE),
 #ifdef SQLITE_CASE_SENSITIVE_LIKE
diff --git a/src/resolve.c b/src/resolve.c
index 073fdf1933..99472272fc 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -776,13 +776,15 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
       sqlite3WalkExprList(pWalker, pList);
       if( is_agg ){
         if( pExpr->pWin ){
-          pExpr->pWin->pNextWin = pNC->pWin;
-          pNC->pWin = pExpr->pWin;
+          if( 0==pNC->pWin 
+           || 0==sqlite3WindowCompare(pParse, pNC->pWin, pExpr->pWin) 
+          ){
+            pExpr->pWin->pNextWin = pNC->pWin;
+            pNC->pWin = pExpr->pWin;
+          }
           pExpr->pWin->pFunc = pDef;
-          pExpr->pWin->nArg = pExpr->x.pList->nExpr;
-        }
-        else
-        {
+          pExpr->pWin->nArg = (pExpr->x.pList ? pExpr->x.pList->nExpr : 0);
+        }else{
           NameContext *pNC2 = pNC;
           pExpr->op = TK_AGG_FUNCTION;
           pExpr->op2 = 0;
diff --git a/src/select.c b/src/select.c
index 93e55b680f..1b0bbe40e8 100644
--- a/src/select.c
+++ b/src/select.c
@@ -5415,17 +5415,20 @@ static int selectWindowRewriteSelectCb(Walker *pWalker, Select *pSelect){
 static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
   struct WindowRewrite *p = pWalker->u.pRewrite;
   Parse *pParse = pWalker->pParse;
-  int rc = WRC_Continue;
 
   switch( pExpr->op ){
 
     case TK_FUNCTION:
       if( pExpr->pWin==0 ){
         break;
-      }else if( pExpr->pWin==p->pWin ){
-        rc = WRC_Prune;
-        pExpr->pWin->pOwner = pExpr;
-        break;
+      }else{
+        Window *pWin;
+        for(pWin=p->pWin; pWin; pWin=pWin->pNextWin){
+          if( pExpr->pWin==pWin ){
+            pExpr->pWin->pOwner = pExpr;
+            return WRC_Prune;
+          }
+        }
       }
       /* Fall through.  */
 
@@ -5451,7 +5454,7 @@ static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
       break;
   }
 
-  return rc;
+  return WRC_Continue;
 }
 
 static int selectWindowRewriteEList(
@@ -5532,41 +5535,46 @@ static int selectWindowRewrite(Parse *pParse, Select *p){
     ExprList *pSort = 0;
 
     ExprList *pSublist = 0;       /* Expression list for sub-query */
-    Window *pWin = p->pWin;
+    Window *pMWin = p->pWin;      /* Master window object */
+    Window *pWin;                 /* Window object iterator */
 
     p->pSrc = 0;
     p->pWhere = 0;
     p->pGroupBy = 0;
     p->pHaving = 0;
 
-    pWin->regAccum = ++pParse->nMem;
-    pWin->regResult = ++pParse->nMem;
-
     /* Assign a cursor number for the ephemeral table used to buffer rows.
     ** The OpenEphemeral instruction is coded later, after it is known how
     ** many columns the table will have.  */
-    pWin->iEphCsr = pParse->nTab++;
+    pMWin->iEphCsr = pParse->nTab++;
 
-    rc = selectWindowRewriteEList(pParse, pWin, p->pEList, &pSublist);
+    rc = selectWindowRewriteEList(pParse, pMWin, p->pEList, &pSublist);
     if( rc ) return rc;
-    rc = selectWindowRewriteEList(pParse, pWin, p->pOrderBy, &pSublist);
+    rc = selectWindowRewriteEList(pParse, pMWin, p->pOrderBy, &pSublist);
     if( rc ) return rc;
-    pWin->nBufferCol = (pSublist ? pSublist->nExpr : 0);
+    pMWin->nBufferCol = (pSublist ? pSublist->nExpr : 0);
 
     /* Create the ORDER BY clause for the sub-select. This is the concatenation
     ** of the window PARTITION and ORDER BY clauses. Append the same 
     ** expressions to the sub-select expression list. They are required to
     ** figure out where boundaries for partitions and sets of peer rows.  */
-    pSort = sqlite3ExprListDup(db, pWin->pPartition, 0);
-    if( pWin->pOrderBy ){
-      pSort = exprListAppendList(pParse, pSort, pWin->pOrderBy);
+    pSort = sqlite3ExprListDup(db, pMWin->pPartition, 0);
+    if( pMWin->pOrderBy ){
+      pSort = exprListAppendList(pParse, pSort, pMWin->pOrderBy);
     }
     pSublist = exprListAppendList(pParse, pSublist, pSort);
 
-    /* Also append the arguments passed to the window function to the
-    ** sub-select expression list. */
-    pWin->iArgCol = (pSublist ? pSublist->nExpr : 0);
-    pSublist = exprListAppendList(pParse, pSublist, pWin->pOwner->x.pList);
+    /* Append the arguments passed to each window function to the
+    ** sub-select expression list. Also allocate two registers for each
+    ** window function - one for the accumulator, another for interim
+    ** results.  */
+    for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+      pWin->iArgCol = (pSublist ? pSublist->nExpr : 0);
+      pSublist = exprListAppendList(pParse, pSublist, pWin->pOwner->x.pList);
+      pWin->regAccum = ++pParse->nMem;
+      pWin->regResult = ++pParse->nMem;
+      sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
+    }
 
     pSub = sqlite3SelectNew(
         pParse, pSublist, pSrc, pWhere, pGroupBy, pHaving, pSort, 0, 0
@@ -5582,7 +5590,6 @@ static int selectWindowRewrite(Parse *pParse, Select *p){
       }else{
         pSub->selFlags |= SF_Expanded;
       }
-      pWin->pNextWin = 0;
     }
 
 #if SELECTTRACE_ENABLED
@@ -5592,8 +5599,7 @@ static int selectWindowRewrite(Parse *pParse, Select *p){
     }
 #endif
 
-    sqlite3VdbeAddOp2(v, OP_OpenEphemeral, pWin->iEphCsr, pWin->nBufferCol);
-    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
+    sqlite3VdbeAddOp2(v, OP_OpenEphemeral, pMWin->iEphCsr, pMWin->nBufferCol);
   }
 
   return rc;
@@ -6061,7 +6067,7 @@ int sqlite3Select(
   }
 
   if( !isAgg && pGroupBy==0 ){
-    Window *pWin = p->pWin;
+    Window *pMWin = p->pWin;      /* Master window object (or NULL) */
     int regPart = 0;
 
     /* No aggregate functions and no GROUP BY clause */
@@ -6069,9 +6075,9 @@ int sqlite3Select(
     assert( WHERE_USE_LIMIT==SF_FixedLimit );
     wctrlFlags |= p->selFlags & SF_FixedLimit;
 
-    if( pWin ){
-      int nPart = (pWin->pPartition ? pWin->pPartition->nExpr : 0);
-      nPart += (pWin->pOrderBy ? pWin->pOrderBy->nExpr : 0);
+    if( pMWin ){
+      int nPart = (pMWin->pPartition ? pMWin->pPartition->nExpr : 0);
+      nPart += (pMWin->pOrderBy ? pMWin->pOrderBy->nExpr : 0);
       if( nPart ){
         regPart = pParse->nMem+1;
         pParse->nMem += nPart;
@@ -6107,7 +6113,8 @@ int sqlite3Select(
     }
 
     assert( p->pEList==pEList );
-    if( p->pWin ){
+    if( pMWin ){
+      Window *pWin;
       int k;
       int iSubCsr = p->pSrc->a[0].iCursor;
       int nSub = p->pSrc->a[0].pTab->nCol;
@@ -6128,29 +6135,31 @@ int sqlite3Select(
 
       /* Check if this is the start of a new partition or peer group. */
       if( regPart ){
-        ExprList *pPart = pWin->pPartition;
+        ExprList *pPart = pMWin->pPartition;
         int nPart = (pPart ? pPart->nExpr : 0);
-        ExprList *pOrderBy = pWin->pOrderBy;
+        ExprList *pOrderBy = pMWin->pOrderBy;
         int nPeer = (pOrderBy ? pOrderBy->nExpr : 0);
         int addrGoto = 0;
         int addrJump = 0;
 
         if( pPart ){
-          int regNewPart = reg + pWin->nBufferCol;
+          int regNewPart = reg + pMWin->nBufferCol;
           KeyInfo *pKeyInfo = keyInfoFromExprList(pParse, pPart, 0, 0);
           addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, regPart, nPart);
           sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
           addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
-          sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
-          sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-          sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+          for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+            sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+            sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+            sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+          }
           if( pOrderBy ){
             addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
           }
         }
 
         if( pOrderBy ){
-          int regNewPeer = reg + pWin->nBufferCol + nPart;
+          int regNewPeer = reg + pMWin->nBufferCol + nPart;
           int regPeer = regPart + nPart;
 
           KeyInfo *pKeyInfo = keyInfoFromExprList(pParse, pOrderBy, 0, 0);
@@ -6158,51 +6167,58 @@ int sqlite3Select(
           addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
           sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
           addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
-          sqlite3VdbeAddOp3(v, 
-              OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
-          );
-          sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-
+          for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+            sqlite3VdbeAddOp3(v, 
+                OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
+            );
+            sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+          }
           if( addrGoto ) sqlite3VdbeJumpHere(v, addrGoto);
         }
 
         addrGosub = sqlite3VdbeAddOp1(v, OP_Gosub, regGosub);
-        sqlite3VdbeAddOp1(v, OP_ResetSorter, pWin->iEphCsr);
-        sqlite3VdbeAddOp3(v,OP_Copy,reg+pWin->nBufferCol,regPart,nPart+nPeer-1);
+        sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
+        sqlite3VdbeAddOp3(
+            v, OP_Copy, reg+pMWin->nBufferCol, regPart, nPart+nPeer-1
+        );
 
         sqlite3VdbeJumpHere(v, addrJump);
       }
 
       /* Invoke step function for window functions */
-      sqlite3VdbeAddOp3(v, OP_AggStep0, 0, reg+pWin->iArgCol, pWin->regAccum);
-      sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-      sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+        sqlite3VdbeAddOp3(v, OP_AggStep0, 0, reg+pWin->iArgCol, pWin->regAccum);
+        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+        sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+      }
 
       /* Buffer the current row in the ephemeral table. */
-      if( pWin->nBufferCol>0 ){
-        sqlite3VdbeAddOp3(v, OP_MakeRecord, reg, pWin->nBufferCol, regRecord);
+      if( pMWin->nBufferCol>0 ){
+        sqlite3VdbeAddOp3(v, OP_MakeRecord, reg, pMWin->nBufferCol, regRecord);
       }else{
         sqlite3VdbeAddOp2(v, OP_Blob, 0, regRecord);
         sqlite3VdbeAppendP4(v, (void*)"", 0);
       }
-      sqlite3VdbeAddOp2(v, OP_NewRowid, pWin->iEphCsr, regRowid);
-      sqlite3VdbeAddOp3(v, OP_Insert, pWin->iEphCsr, regRecord, regRowid);
+      sqlite3VdbeAddOp2(v, OP_NewRowid, pMWin->iEphCsr, regRowid);
+      sqlite3VdbeAddOp3(v, OP_Insert, pMWin->iEphCsr, regRecord, regRowid);
 
       /* End the database scan loop. */
       sqlite3WhereEnd(pWInfo);
 
-      sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
-      sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-      sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+        sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+        sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+      }
       sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, sqlite3VdbeCurrentAddr(v)+2);
 
       sqlite3VdbeAddOp0(v, OP_Goto);
       if( regPart ){
         sqlite3VdbeJumpHere(v, addrGosub);
       }
-      addr = sqlite3VdbeAddOp1(v, OP_Rewind, pWin->iEphCsr);
+      addr = sqlite3VdbeAddOp1(v, OP_Rewind, pMWin->iEphCsr);
       selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest, addr+1, 0);
-      sqlite3VdbeAddOp2(v, OP_Next, pWin->iEphCsr, addr+1);
+      sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, addr+1);
       sqlite3VdbeJumpHere(v, addr);
       sqlite3VdbeAddOp1(v, OP_Return, regGosub);
       sqlite3VdbeJumpHere(v, addr-1);       /* OP_Goto jumps here */
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 8a1376fd23..7f3d37ba48 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -1716,16 +1716,16 @@ struct FuncDestructor {
 #define LIKEFUNC(zName, nArg, arg, flags) \
   {nArg, SQLITE_FUNC_CONSTANT|SQLITE_UTF8|flags, \
    (void *)arg, 0, likeFunc, 0, 0, 0, #zName, {0} }
-#define AGGREGATE(zName, nArg, arg, nc, xStep, xFinal) \
+#define AGGREGATE(zName, nArg, arg, nc, xStep, xFinal, xValue) \
   {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL), \
-   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,0,0,#zName, {0}}
+   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xValue,0,#zName, {0}}
 #define AGGREGATE2(zName, nArg, arg, nc, xStep, xFinal, extraFlags) \
   {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL)|extraFlags, \
-   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,0,0,#zName, {0}}
+   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xFinal,0,#zName, {0}}
 
-#define WFUNCTION(zName, nArg, arg, xStep, xFinal, xValue, xInverse) \
-  {nArg, SQLITE_UTF8, \
-   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xValue,xInverse,#zName, {0}}
+#define WAGGREGATE(zName, nArg, arg, nc, xStep, xFinal) \
+  {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL), \
+   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xFinal,0,#zName, {0}}
 
 /*
 ** All current savepoints are stored in a linked list starting at
@@ -3493,6 +3493,7 @@ struct Window {
 void sqlite3WindowDelete(sqlite3*, Window*);
 Window *sqlite3WindowAlloc(Parse*, int, int, Expr*, int , Expr*);
 void sqlite3WindowAttach(Parse*, Expr*, Window*);
+int sqlite3WindowCompare(Parse*, Window*, Window*);
 
 /*
 ** Assuming zIn points to the first byte of a UTF-8 character,
diff --git a/src/window.c b/src/window.c
index 57d4674247..d2d6f47668 100644
--- a/src/window.c
+++ b/src/window.c
@@ -51,3 +51,19 @@ void sqlite3WindowAttach(Parse *pParse, Expr *p, Window *pWin){
     sqlite3WindowDelete(pParse->db, pWin);
   }
 }
+
+/*
+** Return 0 if the two window objects are identical, or non-zero otherwise.
+*/
+int sqlite3WindowCompare(Parse *pParse, Window *p1, Window *p2){
+  if( p1->eType!=p2->eType ) return 1;
+  if( p1->eStart!=p2->eStart ) return 1;
+  if( p1->eEnd!=p2->eEnd ) return 1;
+  if( sqlite3ExprCompare(pParse, p1->pStart, p2->pStart, -1) ) return 1;
+  if( sqlite3ExprCompare(pParse, p1->pEnd, p2->pEnd, -1) ) return 1;
+  if( sqlite3ExprListCompare(p1->pPartition, p2->pPartition, -1) ) return 1;
+  if( sqlite3ExprListCompare(p1->pOrderBy, p2->pOrderBy, -1) ) return 1;
+  return 0;
+}
+
+
diff --git a/test/window1.test b/test/window1.test
index cfc14947f2..04d4380ae3 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -136,4 +136,35 @@ do_execsql_test 4.8 {
   6   6  9
 }
 
+do_execsql_test 4.9 {
+  SELECT a, 
+    sum(a) OVER (ORDER BY a), 
+    avg(a) OVER (ORDER BY a) 
+  FROM t2 ORDER BY a
+} {
+  0  0       0.0
+  1  1       0.5
+  2  3       1.0
+  3  6       1.5
+  4  10      2.0
+  5  15      2.5
+  6  21      3.0
+}
+
+do_execsql_test 4.10 {
+  SELECT a, 
+    count() OVER (ORDER BY a DESC),
+    group_concat(a, '.') OVER (ORDER BY a DESC) 
+  FROM t2 ORDER BY a DESC
+} {
+  6 1 6
+  5 2 6.5
+  4 3 6.5.4
+  3 4 6.5.4.3
+  2 5 6.5.4.3.2
+  1 6 6.5.4.3.2.1
+  0 7 6.5.4.3.2.1.0
+}
+
+
 finish_test

From b6e9f7a4d1fbec98310549b2eda42d90c547eed1 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 19 May 2018 14:15:29 +0000
Subject: [PATCH 004/154] Fix minor problems on this branch.

FossilOrigin-Name: 19c2e4b2f164521eab84cb0a0e12984be9431eaedd001dd3671e9ea1a6212353
---
 manifest               |  22 +++----
 manifest.uuid          |   2 +-
 src/expr.c             |   2 +-
 src/parse.y            |   3 +-
 src/select.c           |  15 -----
 test/permutations.test |   2 +-
 test/window1.test      |  17 +++++-
 test/window2.tcl       | 127 +++++++++++++++++++++++++++++++++++++++++
 test/window2.test      |  45 +++++++++++++++
 9 files changed, 205 insertions(+), 30 deletions(-)
 create mode 100644 test/window2.tcl
 create mode 100644 test/window2.test

diff --git a/manifest b/manifest
index d398b3ccfd..b33fe88ab5 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Evaluate\smultiple\swindow\sfunctions\sin\sa\ssingle\spass\sif\sthey\suse\sthe\ssame\nwindow\sdefinition.\sAdd\sxValue\scallbacks\sfor\sother\sbuilt-in\saggregate\nfunctions.
-D 2018-05-17T19:24:08.904
+C Fix\sminor\sproblems\son\sthis\sbranch.
+D 2018-05-19T14:15:29.031
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -445,7 +445,7 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 8db4c97f630e7d83f884ea75caf1ffd0988c160e9d530194d93721c80821e0f6
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c b0f90749e22d5e41a12dbf940f4811138cf97da54b46b737089b93eb64a2896f
-F src/expr.c 75cef2e9fa3318c284faeea2c259100b7538776ca47573bf45b7b45c06ba0825
+F src/expr.c bb57b0b5ba1351335091ce4ec43b40968746f03afd65c9e2920d7cbe4dc98133
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c d617daf66b5515e2b42c1405b2b4984c30ca50fb705ab164271a9bf66c69e331
 F src/func.c b1a5122c69ef13c7bf0100e792ca539a36034c1b50476233ded6d2f72afcfbfc
@@ -482,7 +482,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 5df899a48f439c5e67e5194fe06ff28d928d2f531edc3169964f668eb16fee34
+F src/parse.y 9ae79a4f9df5d1ba474807361b3d66ae901d9502abe205fcf96a1dc7793d87fd
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -493,7 +493,7 @@ F src/printf.c 1d1b4a568a58d0f32a5ff26c6b98db8a6e1883467f343a6406263cacd2e60c21
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 446f60b2e0d2440bb233d6a69a4ed0f2ad030a4e63ac4b3cfc0e98cf73d9c5a3
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 2b4bc6bb66b85a9ba8bd4ad4161d0d6b32fcfdf6d472229a08364d3f0c407fe5
+F src/select.c 34a5cb9e6a37d4f7e25160ba0caeb02bccc1abee462805ba5f3fde9abc266873
 F src/shell.c.in 53affa90711f280342f7238f9c9aa9dcaed321ec6218a18043cf92154ef8a704
 F src/sqlite.h.in 34be2d0d18bf4726538793bdc9854cd87f689fda4b3789515134cdbd68188cf4
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
@@ -1146,7 +1146,7 @@ F test/parser1.test 391b9bf9a229547a129c61ac345ed1a6f5eb1854
 F test/pcache.test c8acbedd3b6fd0f9a7ca887a83b11d24a007972b
 F test/pcache2.test af7f3deb1a819f77a6d0d81534e97d1cf62cd442
 F test/percentile.test 4243af26b8f3f4555abe166f723715a1f74c77ff
-F test/permutations.test a4c5c94c5f4e6c49004bf9b9b8b81201081e1d2d127cdda61bdb1c61dd0deb4e
+F test/permutations.test 10793f1de89a226fa22dde9ba9398de22571fee1bfb53a935a11be4aa014704f
 F test/pragma.test 7c8cfc328a1717a95663cf8edb06c52ddfeaf97bb0aee69ae7457132e8d39e7d
 F test/pragma2.test e5d5c176360c321344249354c0c16aec46214c9f
 F test/pragma3.test 14c12bc5352b1e100e0b6b44f371053a81ccf8ed
@@ -1613,7 +1613,9 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 5278e1578b55867e69e050376daef1eb6f6b4557fd728e5babb610c086af9f08
+F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
+F test/window2.tcl f9df2fded8de70fc4252030775351b42440bc10aa2eb07d2f625e5d14a666775
+F test/window2.test 57c0500f98a08fd372f7fecf60f0d2ade58ad3373dad5031063d0a278fd79b18
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1730,7 +1732,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 35af0b750e70dcf0f343b115f4bbd0860a7e8064be204d4dfba1a43c22ff07b1
-R e0e67ced56bb91a58c4c8146b7d7e3b8
+P c9f0f140941660ff368e5bb5752d54feb1964b7a9eac986d4bfb8f24a1c20d86
+R 6dddf8e93774e8d8cc7600c6ceb6a6b5
 U dan
-Z b68147f44c001ca2d08d81bf2dc7bdbf
+Z 12927ac87a28c4acd3b751d346125a3b
diff --git a/manifest.uuid b/manifest.uuid
index 5641f29536..e8182e6ce4 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-c9f0f140941660ff368e5bb5752d54feb1964b7a9eac986d4bfb8f24a1c20d86
\ No newline at end of file
+19c2e4b2f164521eab84cb0a0e12984be9431eaedd001dd3671e9ea1a6212353
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index c93ce3f443..81aa66f690 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -3831,7 +3831,7 @@ expr_code_doover:
         pDef = sqlite3FindFunction(db, "unknown", nFarg, enc, 0);
       }
 #endif
-      if( pDef==0 /* || pDef->xFinalize!=0 */ ){
+      if( pDef==0 || pDef->xFinalize!=0 ){
         sqlite3ErrorMsg(pParse, "unknown function: %s()", zId);
         break;
       }
diff --git a/src/parse.y b/src/parse.y
index 1d1a2ddaac..a997ea4010 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -1013,8 +1013,9 @@ expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP window(Z). {
     A->flags |= EP_Distinct;
   }
 }
-expr(A) ::= id(X) LP STAR RP. {
+expr(A) ::= id(X) LP STAR RP window(Z). {
   A = sqlite3ExprFunction(pParse, 0, &X);
+  sqlite3WindowAttach(pParse, A, Z);
 }
 term(A) ::= CTIME_KW(OP). {
   A = sqlite3ExprFunction(pParse, 0, &OP);
diff --git a/src/select.c b/src/select.c
index 1b0bbe40e8..cbe3183c0f 100644
--- a/src/select.c
+++ b/src/select.c
@@ -4685,21 +4685,6 @@ static int selectExpander(Walker *pWalker, Select *p){
       assert( pFrom->pTab==0 );
       if( sqlite3WalkSelect(pWalker, pSel) ) return WRC_Abort;
       if( selectExpandSubquery(pParse, pFrom) ) return WRC_Abort;
-#if 0
-      pFrom->pTab = pTab = sqlite3DbMallocZero(db, sizeof(Table));
-      if( pTab==0 ) return WRC_Abort;
-      pTab->nTabRef = 1;
-      if( pFrom->zAlias ){
-        pTab->zName = sqlite3DbStrDup(db, pFrom->zAlias);
-      }else{
-        pTab->zName = sqlite3MPrintf(db, "subquery_%p", (void*)pTab);
-      }
-      while( pSel->pPrior ){ pSel = pSel->pPrior; }
-      sqlite3ColumnsFromExprList(pParse, pSel->pEList,&pTab->nCol,&pTab->aCol);
-      pTab->iPKey = -1;
-      pTab->nRowLogEst = 200; assert( 200==sqlite3LogEst(1048576) );
-      pTab->tabFlags |= TF_Ephemeral;
-#endif
 #endif
     }else{
       /* An ordinary table or view name in the FROM clause */
diff --git a/test/permutations.test b/test/permutations.test
index d240b34da8..52e2509fc1 100644
--- a/test/permutations.test
+++ b/test/permutations.test
@@ -167,7 +167,7 @@ test_suite "veryquick" -prefix "" -description {
   that test malloc and IO errors are omitted.
 } -files [
   test_set $allquicktests -exclude *malloc* *ioerr* *fault* *bigfile* *_err* \
-      *fts5corrupt* *fts5big* *fts5aj* *expert* table.test
+      *fts5corrupt* *fts5big* *fts5aj*
 ]
 
 test_suite "extraquick" -prefix "" -description {
diff --git a/test/window1.test b/test/window1.test
index 04d4380ae3..33664b30f0 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -151,7 +151,7 @@ do_execsql_test 4.9 {
   6  21      3.0
 }
 
-do_execsql_test 4.10 {
+do_execsql_test 4.10.1 {
   SELECT a, 
     count() OVER (ORDER BY a DESC),
     group_concat(a, '.') OVER (ORDER BY a DESC) 
@@ -166,5 +166,20 @@ do_execsql_test 4.10 {
   0 7 6.5.4.3.2.1.0
 }
 
+do_execsql_test 4.10.2 {
+  SELECT a, 
+    count(*) OVER (ORDER BY a DESC),
+    group_concat(a, '.') OVER (ORDER BY a DESC) 
+  FROM t2 ORDER BY a DESC
+} {
+  6 1 6
+  5 2 6.5
+  4 3 6.5.4
+  3 4 6.5.4.3
+  2 5 6.5.4.3.2
+  1 6 6.5.4.3.2.1
+  0 7 6.5.4.3.2.1.0
+}
+
 
 finish_test
diff --git a/test/window2.tcl b/test/window2.tcl
new file mode 100644
index 0000000000..9c567f24e3
--- /dev/null
+++ b/test/window2.tcl
@@ -0,0 +1,127 @@
+# 2018 May 19
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+#
+
+package require sqlite3
+package require Pgtcl
+
+set db [pg_connect -conninfo "dbname=postgres user=postgres password=postgres"]
+sqlite3 sqlite ""
+
+proc execsql {sql} {
+
+  set lSql [list]
+  set frag ""
+  while {[string length $sql]>0} {
+    set i [string first ";" $sql]
+    if {$i>=0} {
+      append frag [string range $sql 0 $i]
+      set sql [string range $sql $i+1 end]
+      if {[sqlite complete $frag]} {
+        lappend lSql $frag
+        set frag ""
+      }
+    } else {
+      set frag $sql
+      set sql ""
+    }
+  }
+  if {$frag != ""} {
+    lappend lSql $frag
+  }
+  #puts $lSql
+
+  set ret [list]
+  foreach stmt $lSql {
+    set res [pg_exec $::db $stmt]
+    set err [pg_result $res -error]
+    if {$err!=""} { error $err }
+    for {set i 0} {$i < [pg_result $res -numTuples]} {incr i} {
+      lappend ret {*}[pg_result $res -getTuple $i]
+    }
+    pg_result $res -clear
+  }
+
+  set ret
+}
+
+proc execsql_test {tn sql} {
+  set res [execsql $sql]
+  puts $::fd "do_execsql_test $tn {"
+  puts $::fd "  [string trim $sql]"
+  puts $::fd "} {$res}"
+  puts $::fd ""
+}
+
+proc start_test {name date} {
+  set dir [file dirname $::argv0]
+  set output [file join $dir $name.test]
+  set ::fd [open $output w]
+puts $::fd [string trimleft "
+# $date
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library.
+#
+
+####################################################
+# DO NOT EDIT! THIS FILE IS AUTOMATICALLY GENERATED!
+####################################################
+"]
+  puts $::fd {set testdir [file dirname $argv0]}
+  puts $::fd {source $testdir/tester.tcl}
+  puts $::fd "set testprefix $name"
+  puts $::fd ""
+}
+
+proc finish_test {} {
+  puts $::fd finish_test
+  close $::fd
+}
+
+#=========================================================================
+
+
+start_test window2 "2018 May 19"
+
+execsql_test 1.0 {
+  DROP TABLE IF EXISTS t1;
+  CREATE TABLE t1(a INTEGER PRIMARY KEY, b TEXT, c TEXT, d INTEGER);
+  INSERT INTO t1 VALUES(1, 'odd',  'one',   1);
+  INSERT INTO t1 VALUES(2, 'even', 'two',   2);
+  INSERT INTO t1 VALUES(3, 'odd',  'three', 3);
+  INSERT INTO t1 VALUES(4, 'even', 'four',  4);
+  INSERT INTO t1 VALUES(5, 'odd',  'five',  5);
+  INSERT INTO t1 VALUES(6, 'even', 'six',   6);
+}
+
+execsql_test 1.1 {
+  SELECT c, sum(d) OVER (PARTITION BY b ORDER BY c) FROM t1;
+}
+
+execsql_test 1.2 {
+  SELECT sum(d) OVER () FROM t1;
+}
+
+execsql_test 1.3 {
+  SELECT sum(d) OVER (PARTITION BY b) FROM t1;
+}
+
+finish_test
+
+
diff --git a/test/window2.test b/test/window2.test
new file mode 100644
index 0000000000..02b47aee71
--- /dev/null
+++ b/test/window2.test
@@ -0,0 +1,45 @@
+# 2018 May 19
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library.
+#
+
+####################################################
+# DO NOT EDIT! THIS FILE IS AUTOMATICALLY GENERATED!
+####################################################
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+set testprefix window2
+
+do_execsql_test 1.0 {
+  DROP TABLE IF EXISTS t1;
+  CREATE TABLE t1(a INTEGER PRIMARY KEY, b TEXT, c TEXT, d INTEGER);
+  INSERT INTO t1 VALUES(1, 'odd',  'one',   1);
+  INSERT INTO t1 VALUES(2, 'even', 'two',   2);
+  INSERT INTO t1 VALUES(3, 'odd',  'three', 3);
+  INSERT INTO t1 VALUES(4, 'even', 'four',  4);
+  INSERT INTO t1 VALUES(5, 'odd',  'five',  5);
+  INSERT INTO t1 VALUES(6, 'even', 'six',   6);
+} {}
+
+do_execsql_test 1.1 {
+  SELECT c, sum(d) OVER (PARTITION BY b ORDER BY c) FROM t1;
+} {four 4 six 10 two 12 five 5 one 6 three 9}
+
+do_execsql_test 1.2 {
+  SELECT sum(d) OVER () FROM t1;
+} {21 21 21 21 21 21}
+
+do_execsql_test 1.3 {
+  SELECT sum(d) OVER (PARTITION BY b) FROM t1;
+} {12 12 12 9 9 9}
+
+finish_test

From f9eae18b5658db56741bf77d991b8a7454d87384 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 21 May 2018 19:45:11 +0000
Subject: [PATCH 005/154] Begin adding support for more esoteric window frames.

FossilOrigin-Name: bc4b81d60d40583de0f929730159011c1a7696802532ebd02220de3ace94a60d
---
 manifest          |  20 ++---
 manifest.uuid     |   2 +-
 src/select.c      | 146 +++++--------------------------
 src/sqliteInt.h   |   5 ++
 src/window.c      | 212 ++++++++++++++++++++++++++++++++++++++++++++++
 test/window2.tcl  |  42 ++++++++-
 test/window2.test |  30 ++++++-
 7 files changed, 314 insertions(+), 143 deletions(-)

diff --git a/manifest b/manifest
index b33fe88ab5..2da13c9943 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sminor\sproblems\son\sthis\sbranch.
-D 2018-05-19T14:15:29.031
+C Begin\sadding\ssupport\sfor\smore\sesoteric\swindow\sframes.
+D 2018-05-21T19:45:11.880
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -493,12 +493,12 @@ F src/printf.c 1d1b4a568a58d0f32a5ff26c6b98db8a6e1883467f343a6406263cacd2e60c21
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 446f60b2e0d2440bb233d6a69a4ed0f2ad030a4e63ac4b3cfc0e98cf73d9c5a3
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 34a5cb9e6a37d4f7e25160ba0caeb02bccc1abee462805ba5f3fde9abc266873
+F src/select.c 1ebe775c0651bf357ab83b4c9b9139194149cfe1277dfa3e16f3ed73669b6b04
 F src/shell.c.in 53affa90711f280342f7238f9c9aa9dcaed321ec6218a18043cf92154ef8a704
 F src/sqlite.h.in 34be2d0d18bf4726538793bdc9854cd87f689fda4b3789515134cdbd68188cf4
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 6b3400a90f179542045ed318c780bf73675b19b3de437506859adf998a41e125
+F src/sqliteInt.h a3f0edb26ebfee6107fa99f3c300e71018ad23addeeba0746a4ac62425e36f3f
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -581,7 +581,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 33d3751eb1442ce8a7e428e028cbc6c220359446a7ab2a9514244c3edfea1b63
+F src/window.c da24f2e57a704dd8e0ce96df18e7442145582c65b4eb1c3176367e530d665928
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1614,8 +1614,8 @@ F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
-F test/window2.tcl f9df2fded8de70fc4252030775351b42440bc10aa2eb07d2f625e5d14a666775
-F test/window2.test 57c0500f98a08fd372f7fecf60f0d2ade58ad3373dad5031063d0a278fd79b18
+F test/window2.tcl 19a7d45c4502f00917649a171a4eb1da3670657f5cb102bce7a813e15a112b3f
+F test/window2.test 23daf252647d780f046a2e612d7f0492d4fe589b3302fd6c062b0abfff3743bf
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1732,7 +1732,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P c9f0f140941660ff368e5bb5752d54feb1964b7a9eac986d4bfb8f24a1c20d86
-R 6dddf8e93774e8d8cc7600c6ceb6a6b5
+P 19c2e4b2f164521eab84cb0a0e12984be9431eaedd001dd3671e9ea1a6212353
+R 977b49583a548e1f3f37fbf1de8b5833
 U dan
-Z 12927ac87a28c4acd3b751d346125a3b
+Z 314fa758fa6aadc36a0f111ad4e55744
diff --git a/manifest.uuid b/manifest.uuid
index e8182e6ce4..2c19d62e69 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-19c2e4b2f164521eab84cb0a0e12984be9431eaedd001dd3671e9ea1a6212353
\ No newline at end of file
+bc4b81d60d40583de0f929730159011c1a7696802532ebd02220de3ace94a60d
\ No newline at end of file
diff --git a/src/select.c b/src/select.c
index cbe3183c0f..12d6e5ff39 100644
--- a/src/select.c
+++ b/src/select.c
@@ -530,14 +530,6 @@ static int sqliteProcessJoin(Parse *pParse, Select *p){
   return 0;
 }
 
-/* Forward reference */
-static KeyInfo *keyInfoFromExprList(
-  Parse *pParse,       /* Parsing context */
-  ExprList *pList,     /* Form the KeyInfo object from this ExprList */
-  int iStart,          /* Begin with this column of pList */
-  int nExtra           /* Add this many extra columns to the end */
-);
-
 /*
 ** An instance of this object holds information (beyond pParse and pSelect)
 ** needed to load the next result row that is to be added to the sorter.
@@ -679,7 +671,7 @@ static void pushOntoSorter(
     memset(pKI->aSortOrder, 0, pKI->nKeyField); /* Makes OP_Jump testable */
     sqlite3VdbeChangeP4(v, -1, (char*)pKI, P4_KEYINFO);
     testcase( pKI->nAllField > pKI->nKeyField+2 );
-    pOp->p4.pKeyInfo = keyInfoFromExprList(pParse, pSort->pOrderBy, nOBSat,
+    pOp->p4.pKeyInfo = sqlite3KeyInfoFromExprList(pParse,pSort->pOrderBy,nOBSat,
                                            pKI->nAllField-pKI->nKeyField-1);
     addrJmp = sqlite3VdbeCurrentAddr(v);
     sqlite3VdbeAddOp3(v, OP_Jump, addrJmp+1, 0, addrJmp+1); VdbeCoverage(v);
@@ -1349,7 +1341,7 @@ int sqlite3KeyInfoIsWriteable(KeyInfo *p){ return p->nRef==1; }
 ** function is responsible for seeing that this structure is eventually
 ** freed.
 */
-static KeyInfo *keyInfoFromExprList(
+KeyInfo *sqlite3KeyInfoFromExprList(
   Parse *pParse,       /* Parsing context */
   ExprList *pList,     /* Form the KeyInfo object from this ExprList */
   int iStart,          /* Begin with this column of pList */
@@ -5088,7 +5080,7 @@ static void resetAccumulator(Parse *pParse, AggInfo *pAggInfo){
            "argument");
         pFunc->iDistinct = -1;
       }else{
-        KeyInfo *pKeyInfo = keyInfoFromExprList(pParse, pE->x.pList, 0, 0);
+        KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pE->x.pList,0,0);
         sqlite3VdbeAddOp4(v, OP_OpenEphemeral, pFunc->iDistinct, 0, 0,
                           (char*)pKeyInfo, P4_KEYINFO);
       }
@@ -6008,7 +6000,8 @@ int sqlite3Select(
   */
   if( sSort.pOrderBy ){
     KeyInfo *pKeyInfo;
-    pKeyInfo = keyInfoFromExprList(pParse, sSort.pOrderBy, 0, pEList->nExpr);
+    pKeyInfo = sqlite3KeyInfoFromExprList(
+        pParse, sSort.pOrderBy, 0, pEList->nExpr);
     sSort.iECursor = pParse->nTab++;
     sSort.addrSortIndex =
       sqlite3VdbeAddOp4(v, OP_OpenEphemeral,
@@ -6042,9 +6035,9 @@ int sqlite3Select(
   if( p->selFlags & SF_Distinct ){
     sDistinct.tabTnct = pParse->nTab++;
     sDistinct.addrTnct = sqlite3VdbeAddOp4(v, OP_OpenEphemeral,
-                             sDistinct.tabTnct, 0, 0,
-                             (char*)keyInfoFromExprList(pParse, p->pEList,0,0),
-                             P4_KEYINFO);
+                       sDistinct.tabTnct, 0, 0,
+                       (char*)sqlite3KeyInfoFromExprList(pParse, p->pEList,0,0),
+                       P4_KEYINFO);
     sqlite3VdbeChangeP5(v, BTREE_UNORDERED);
     sDistinct.eTnctType = WHERE_DISTINCT_UNORDERED;
   }else{
@@ -6052,22 +6045,15 @@ int sqlite3Select(
   }
 
   if( !isAgg && pGroupBy==0 ){
-    Window *pMWin = p->pWin;      /* Master window object (or NULL) */
-    int regPart = 0;
+    Window *pWin = p->pWin;      /* Master window object (or NULL) */
 
     /* No aggregate functions and no GROUP BY clause */
     u16 wctrlFlags = (sDistinct.isTnct ? WHERE_WANT_DISTINCT : 0);
     assert( WHERE_USE_LIMIT==SF_FixedLimit );
     wctrlFlags |= p->selFlags & SF_FixedLimit;
 
-    if( pMWin ){
-      int nPart = (pMWin->pPartition ? pMWin->pPartition->nExpr : 0);
-      nPart += (pMWin->pOrderBy ? pMWin->pOrderBy->nExpr : 0);
-      if( nPart ){
-        regPart = pParse->nMem+1;
-        pParse->nMem += nPart;
-        sqlite3VdbeAddOp3(v, OP_Null, 0, regPart, regPart+nPart-1);
-      }
+    if( pWin ){
+      sqlite3WindowCodeInit(pParse, pWin);
     }
 
     /* Begin the database scan. */
@@ -6098,112 +6084,18 @@ int sqlite3Select(
     }
 
     assert( p->pEList==pEList );
-    if( pMWin ){
-      Window *pWin;
-      int k;
-      int iSubCsr = p->pSrc->a[0].iCursor;
-      int nSub = p->pSrc->a[0].pTab->nCol;
-      int reg = pParse->nMem+1;
-      int regRecord = reg+nSub;
-      int regRowid = regRecord+1;
-      int regGosub = regRowid+1;
+    if( pWin ){
+      int addrGosub = sqlite3VdbeMakeLabel(v);
+      int regGosub = ++pParse->nMem;
       int addr;
-      int addrGosub;
 
-      pParse->nMem += nSub + 3;
-
-      /* Martial the row returned by the sub-select into an array of 
-      ** registers. */
-      for(k=0; k<nSub; k++){
-        sqlite3VdbeAddOp3(v, OP_Column, iSubCsr, k, reg+k);
-      }
-
-      /* Check if this is the start of a new partition or peer group. */
-      if( regPart ){
-        ExprList *pPart = pMWin->pPartition;
-        int nPart = (pPart ? pPart->nExpr : 0);
-        ExprList *pOrderBy = pMWin->pOrderBy;
-        int nPeer = (pOrderBy ? pOrderBy->nExpr : 0);
-        int addrGoto = 0;
-        int addrJump = 0;
-
-        if( pPart ){
-          int regNewPart = reg + pMWin->nBufferCol;
-          KeyInfo *pKeyInfo = keyInfoFromExprList(pParse, pPart, 0, 0);
-          addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, regPart, nPart);
-          sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
-          addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
-          for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-            sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
-            sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-            sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
-          }
-          if( pOrderBy ){
-            addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
-          }
-        }
-
-        if( pOrderBy ){
-          int regNewPeer = reg + pMWin->nBufferCol + nPart;
-          int regPeer = regPart + nPart;
-
-          KeyInfo *pKeyInfo = keyInfoFromExprList(pParse, pOrderBy, 0, 0);
-          if( addrJump ) sqlite3VdbeJumpHere(v, addrJump);
-          addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
-          sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
-          addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
-          for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-            sqlite3VdbeAddOp3(v, 
-                OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
-            );
-            sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-          }
-          if( addrGoto ) sqlite3VdbeJumpHere(v, addrGoto);
-        }
-
-        addrGosub = sqlite3VdbeAddOp1(v, OP_Gosub, regGosub);
-        sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
-        sqlite3VdbeAddOp3(
-            v, OP_Copy, reg+pMWin->nBufferCol, regPart, nPart+nPeer-1
-        );
-
-        sqlite3VdbeJumpHere(v, addrJump);
-      }
-
-      /* Invoke step function for window functions */
-      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-        sqlite3VdbeAddOp3(v, OP_AggStep0, 0, reg+pWin->iArgCol, pWin->regAccum);
-        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-        sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
-      }
-
-      /* Buffer the current row in the ephemeral table. */
-      if( pMWin->nBufferCol>0 ){
-        sqlite3VdbeAddOp3(v, OP_MakeRecord, reg, pMWin->nBufferCol, regRecord);
-      }else{
-        sqlite3VdbeAddOp2(v, OP_Blob, 0, regRecord);
-        sqlite3VdbeAppendP4(v, (void*)"", 0);
-      }
-      sqlite3VdbeAddOp2(v, OP_NewRowid, pMWin->iEphCsr, regRowid);
-      sqlite3VdbeAddOp3(v, OP_Insert, pMWin->iEphCsr, regRecord, regRowid);
-
-      /* End the database scan loop. */
-      sqlite3WhereEnd(pWInfo);
-
-      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-        sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
-        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-        sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
-      }
-      sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, sqlite3VdbeCurrentAddr(v)+2);
+      sqlite3WindowCodeStep(pParse, p, pWInfo, regGosub, addrGosub);
 
       sqlite3VdbeAddOp0(v, OP_Goto);
-      if( regPart ){
-        sqlite3VdbeJumpHere(v, addrGosub);
-      }
-      addr = sqlite3VdbeAddOp1(v, OP_Rewind, pMWin->iEphCsr);
+      sqlite3VdbeResolveLabel(v, addrGosub);
+      addr = sqlite3VdbeAddOp1(v, OP_Rewind, pWin->iEphCsr);
       selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest, addr+1, 0);
-      sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, addr+1);
+      sqlite3VdbeAddOp2(v, OP_Next, pWin->iEphCsr, addr+1);
       sqlite3VdbeJumpHere(v, addr);
       sqlite3VdbeAddOp1(v, OP_Return, regGosub);
       sqlite3VdbeJumpHere(v, addr-1);       /* OP_Goto jumps here */
@@ -6346,7 +6238,7 @@ int sqlite3Select(
       ** will be converted into a Noop.  
       */
       sAggInfo.sortingIdx = pParse->nTab++;
-      pKeyInfo = keyInfoFromExprList(pParse, pGroupBy, 0, sAggInfo.nColumn);
+      pKeyInfo = sqlite3KeyInfoFromExprList(pParse,pGroupBy,0,sAggInfo.nColumn);
       addrSortingIdx = sqlite3VdbeAddOp4(v, OP_SorterOpen, 
           sAggInfo.sortingIdx, sAggInfo.nSortingColumn, 
           0, (char*)pKeyInfo, P4_KEYINFO);
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 7f3d37ba48..45e4934c2e 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -3485,6 +3485,7 @@ struct Window {
   FuncDef *pFunc;
   int nArg;
 
+  int regPart;
   Expr *pOwner;           /* Expression object this window is attached to */
   int nBufferCol;         /* Number of columns in buffer table */
   int iArgCol;            /* Offset of first argument for this function */
@@ -3494,6 +3495,8 @@ void sqlite3WindowDelete(sqlite3*, Window*);
 Window *sqlite3WindowAlloc(Parse*, int, int, Expr*, int , Expr*);
 void sqlite3WindowAttach(Parse*, Expr*, Window*);
 int sqlite3WindowCompare(Parse*, Window*, Window*);
+void sqlite3WindowCodeInit(Parse*, Window*);
+void sqlite3WindowCodeStep(Parse*, Select*, WhereInfo*, int, int);
 
 /*
 ** Assuming zIn points to the first byte of a UTF-8 character,
@@ -4202,6 +4205,8 @@ KeyInfo *sqlite3KeyInfoAlloc(sqlite3*,int,int);
 void sqlite3KeyInfoUnref(KeyInfo*);
 KeyInfo *sqlite3KeyInfoRef(KeyInfo*);
 KeyInfo *sqlite3KeyInfoOfIndex(Parse*, Index*);
+KeyInfo *sqlite3KeyInfoFromExprList(Parse*, ExprList*, int, int);
+
 #ifdef SQLITE_DEBUG
 int sqlite3KeyInfoIsWriteable(KeyInfo*);
 #endif
diff --git a/src/window.c b/src/window.c
index d2d6f47668..5b1a9bd424 100644
--- a/src/window.c
+++ b/src/window.c
@@ -66,4 +66,216 @@ int sqlite3WindowCompare(Parse *pParse, Window *p1, Window *p2){
   return 0;
 }
 
+void sqlite3WindowCodeInit(Parse *pParse, Window *pWin){
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  int nPart = (pWin->pPartition ? pWin->pPartition->nExpr : 0);
+  nPart += (pWin->pOrderBy ? pWin->pOrderBy->nExpr : 0);
+  if( nPart ){
+    pWin->regPart = pParse->nMem+1;
+    pParse->nMem += nPart;
+    sqlite3VdbeAddOp3(v, OP_Null, 0, pWin->regPart, pWin->regPart+nPart-1);
+  }
+}
+
+/*
+** RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+**
+**   ...
+**     if( new partition ){
+**       AggFinal (xFinalize)
+**       Gosub addrGosub
+**       ResetSorter eph-table
+**     }
+**     else if( new peer ){
+**       AggFinal (xValue)
+**       Gosub addrGosub
+**       ResetSorter eph-table
+**     }
+**     AggStep
+**     Insert (record into eph-table)
+**   sqlite3WhereEnd()
+**   AggFinal (xFinalize)
+**   Gosub addrGosub
+**
+** RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+**
+**   As above, except take no action for a "new peer". Invoke
+**   the sub-routine once only for each partition.
+**
+** RANGE BETWEEN CURRENT ROW AND CURRENT ROW
+**
+**   As above, except that the "new peer" condition is handled in the
+**   same way as "new partition" (so there is no "else if" block).
+**
+** RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+**
+**   One way is to just reverse the sort order and do as for BETWEEN 
+**   UNBOUNDED PRECEDING AND CURRENT ROW. But that is not quite the same for
+**   things like group_concat(). And perhaps other user defined aggregates 
+**   as well.
+**
+**   ...
+**     if( new partition ){
+**       Gosub flush_partition;
+**       ResetSorter eph-table
+**     }
+**     AggStep
+**     Insert (record into eph-table)
+**   sqlite3WhereEnd()
+**   Gosub flush_partition
+**
+**  flush_partition:
+**   OpenDup (csr -> csr2)
+**   foreach (record in eph-table) {
+**     if( new peer ){
+**       while( csr2!=csr ){
+**         AggStep (xInverse)
+**         Next (csr2)
+**       }
+**     }
+**     AggFinal (xValue)
+**     Gosub addrGosub
+**   }
+**
+**========================================================================
+**
+** ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+**   ...
+**     if( new partition ){
+**       AggFinal (xFinalize)
+**     }
+**     AggStep
+**     AggFinal (xValue)
+**     Gosub addrGosub
+**   sqlite3WhereEnd()
+**
+** ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+** ROWS BETWEEN CURRENT ROW AND CURRENT ROW
+** ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+**
+**========================================================================
+**
+** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> PRECEDING
+** ROWS BETWEEN <expr> PRECEDING    AND <expr> PRECEDING
+** ROWS BETWEEN <expr> PRECEDING    AND CURRENT ROW
+** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> FOLLOWING
+** ROWS BETWEEN <expr> PRECEDING    AND <expr> FOLLOWING
+** ROWS BETWEEN CURRENT ROW         AND <expr> FOLLOWING
+** ROWS BETWEEN <expr> FOLLOWING    AND <expr> FOLLOWING
+** ROWS BETWEEN <expr> PRECEDING    AND UNBOUNDED FOLLOWING
+** ROWS BETWEEN <expr> FOLLOWING    AND UNBOUNDED FOLLOWING
+**
+**   Cases that involve <expr> PRECEDING or <expr> FOLLOWING.
+**
+**   ...
+**     Insert (record in eph-table)
+**   sqlite3WhereEnd()
+**
+*/
+void sqlite3WindowCodeStep(
+  Parse *pParse, 
+  Select *p,
+  WhereInfo *pWInfo,
+  int regGosub, 
+  int addrGosub
+){
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  Window *pWin;
+  Window *pMWin = p->pWin;
+  int k;
+  int iSubCsr = p->pSrc->a[0].iCursor;
+  int nSub = p->pSrc->a[0].pTab->nCol;
+  int reg = pParse->nMem+1;
+  int regRecord = reg+nSub;
+  int regRowid = regRecord+1;
+  int addr;
+
+  pParse->nMem += nSub + 2;
+
+  /* Martial the row returned by the sub-select into an array of 
+  ** registers. */
+  for(k=0; k<nSub; k++){
+    sqlite3VdbeAddOp3(v, OP_Column, iSubCsr, k, reg+k);
+  }
+
+  /* Check if this is the start of a new partition or peer group. */
+  if( pMWin->regPart ){
+    ExprList *pPart = pMWin->pPartition;
+    int nPart = (pPart ? pPart->nExpr : 0);
+    ExprList *pOrderBy = pMWin->pOrderBy;
+    int nPeer = (pOrderBy ? pOrderBy->nExpr : 0);
+    int addrGoto = 0;
+    int addrJump = 0;
+
+    if( pPart ){
+      int regNewPart = reg + pMWin->nBufferCol;
+      KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pPart, 0, 0);
+      addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart, nPart);
+      sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+      addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+        sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+        sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+      }
+      if( pOrderBy ){
+        addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
+      }
+    }
+
+    if( pOrderBy ){
+      int regNewPeer = reg + pMWin->nBufferCol + nPart;
+      int regPeer = pMWin->regPart + nPart;
+
+      KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pOrderBy, 0, 0);
+      if( addrJump ) sqlite3VdbeJumpHere(v, addrJump);
+      addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
+      sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+      addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+        sqlite3VdbeAddOp3(v, 
+            OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
+            );
+        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+      }
+      if( addrGoto ) sqlite3VdbeJumpHere(v, addrGoto);
+    }
+
+    sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+    sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
+    sqlite3VdbeAddOp3(
+        v, OP_Copy, reg+pMWin->nBufferCol, pMWin->regPart, nPart+nPeer-1
+        );
+
+    sqlite3VdbeJumpHere(v, addrJump);
+  }
+
+  /* Invoke step function for window functions */
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    sqlite3VdbeAddOp3(v, OP_AggStep0, 0, reg+pWin->iArgCol, pWin->regAccum);
+    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+  }
+
+  /* Buffer the current row in the ephemeral table. */
+  if( pMWin->nBufferCol>0 ){
+    sqlite3VdbeAddOp3(v, OP_MakeRecord, reg, pMWin->nBufferCol, regRecord);
+  }else{
+    sqlite3VdbeAddOp2(v, OP_Blob, 0, regRecord);
+    sqlite3VdbeAppendP4(v, (void*)"", 0);
+  }
+  sqlite3VdbeAddOp2(v, OP_NewRowid, pMWin->iEphCsr, regRowid);
+  sqlite3VdbeAddOp3(v, OP_Insert, pMWin->iEphCsr, regRecord, regRowid);
+
+  /* End the database scan loop. */
+  sqlite3WhereEnd(pWInfo);
+
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+    sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+  }
+  sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+}
+
 
diff --git a/test/window2.tcl b/test/window2.tcl
index 9c567f24e3..b81c3ae1e1 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -39,13 +39,18 @@ proc execsql {sql} {
   }
   #puts $lSql
 
-  set ret [list]
+  set ret ""
   foreach stmt $lSql {
     set res [pg_exec $::db $stmt]
     set err [pg_result $res -error]
     if {$err!=""} { error $err }
     for {set i 0} {$i < [pg_result $res -numTuples]} {incr i} {
-      lappend ret {*}[pg_result $res -getTuple $i]
+      if {$i==0} {
+        set ret [pg_result $res -getTuple 0]
+      } else {
+        append ret "   [pg_result $res -getTuple $i]"
+      }
+      # lappend ret {*}[pg_result $res -getTuple $i]
     }
     pg_result $res -clear
   }
@@ -89,6 +94,15 @@ puts $::fd [string trimleft "
   puts $::fd ""
 }
 
+proc -- {args} {
+  puts $::fd "# $args"
+}
+
+proc ========== {args} {
+  puts $::fd "#[string repeat = 74]"
+  puts $::fd ""
+}
+
 proc finish_test {} {
   puts $::fd finish_test
   close $::fd
@@ -122,6 +136,30 @@ execsql_test 1.3 {
   SELECT sum(d) OVER (PARTITION BY b) FROM t1;
 }
 
+puts $::fd finish_test
+==========
+
+execsql_test 2.1 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b ORDER BY d
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.2 {
+  SELECT a, sum(d) OVER (
+    ORDER BY b
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.3 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
 finish_test
 
 
diff --git a/test/window2.test b/test/window2.test
index 02b47aee71..9db7ee0baf 100644
--- a/test/window2.test
+++ b/test/window2.test
@@ -32,14 +32,38 @@ do_execsql_test 1.0 {
 
 do_execsql_test 1.1 {
   SELECT c, sum(d) OVER (PARTITION BY b ORDER BY c) FROM t1;
-} {four 4 six 10 two 12 five 5 one 6 three 9}
+} {four 4   six 10   two 12   five 5   one 6   three 9}
 
 do_execsql_test 1.2 {
   SELECT sum(d) OVER () FROM t1;
-} {21 21 21 21 21 21}
+} {21   21   21   21   21   21}
 
 do_execsql_test 1.3 {
   SELECT sum(d) OVER (PARTITION BY b) FROM t1;
-} {12 12 12 9 9 9}
+} {12   12   12   9   9   9}
+
+finish_test
+#==========================================================================
+
+do_execsql_test 2.1 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b ORDER BY d
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {2 12   4 10   6 6   1 9   3 8   5 5}
+
+do_execsql_test 2.2 {
+  SELECT a, sum(d) OVER (
+    ORDER BY b
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {2 21   4 21   6 21   1 9   3 9   5 9}
+
+do_execsql_test 2.3 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {1 21   2 21   3 21   4 21   5 21   6 21}
 
 finish_test

From 8471be331171529b9b7cb6719ae6ff3b95279aa2 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Tue, 22 May 2018 20:35:37 +0000
Subject: [PATCH 006/154] Add comments to window.c describing how other window
 frames will be implemented.

FossilOrigin-Name: 16168146b202915252f9375aef38e65ca20c5d4aa906e851d4d3a484db57562d
---
 manifest          | 16 ++++-----
 manifest.uuid     |  2 +-
 src/window.c      | 90 ++++++++++++++++++++++++++++++++++++++++-------
 test/window2.tcl  | 14 ++++++++
 test/window2.test | 14 ++++++++
 5 files changed, 115 insertions(+), 21 deletions(-)

diff --git a/manifest b/manifest
index 2da13c9943..b439b92f47 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Begin\sadding\ssupport\sfor\smore\sesoteric\swindow\sframes.
-D 2018-05-21T19:45:11.880
+C Add\scomments\sto\swindow.c\sdescribing\show\sother\swindow\sframes\swill\sbe\simplemented.
+D 2018-05-22T20:35:37.079
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -581,7 +581,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c da24f2e57a704dd8e0ce96df18e7442145582c65b4eb1c3176367e530d665928
+F src/window.c 37eb02c2af935f207ba902ef25ec27d635b68bb1567f9e5994a6720bac1c093e
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1614,8 +1614,8 @@ F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
-F test/window2.tcl 19a7d45c4502f00917649a171a4eb1da3670657f5cb102bce7a813e15a112b3f
-F test/window2.test 23daf252647d780f046a2e612d7f0492d4fe589b3302fd6c062b0abfff3743bf
+F test/window2.tcl 7e0b692974a18ae0992dd2e76be83d8e1c6c5cac3190d84fa62911ab0e5c7896
+F test/window2.test e1453371b605e54eeb2264fc3a4a23c5eba93e95f6c7f3230fce9d34b4b5e8a4
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1732,7 +1732,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 19c2e4b2f164521eab84cb0a0e12984be9431eaedd001dd3671e9ea1a6212353
-R 977b49583a548e1f3f37fbf1de8b5833
+P bc4b81d60d40583de0f929730159011c1a7696802532ebd02220de3ace94a60d
+R b67e8a3ce976e7ed7840f10e74d98764
 U dan
-Z 314fa758fa6aadc36a0f111ad4e55744
+Z 023d577304fe302f9eee3398820219e9
diff --git a/manifest.uuid b/manifest.uuid
index 2c19d62e69..90377133ff 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-bc4b81d60d40583de0f929730159011c1a7696802532ebd02220de3ace94a60d
\ No newline at end of file
+16168146b202915252f9375aef38e65ca20c5d4aa906e851d4d3a484db57562d
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 5b1a9bd424..4eb04db91c 100644
--- a/src/window.c
+++ b/src/window.c
@@ -155,21 +155,87 @@ void sqlite3WindowCodeInit(Parse *pParse, Window *pWin){
 **
 **========================================================================
 **
-** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> PRECEDING
-** ROWS BETWEEN <expr> PRECEDING    AND <expr> PRECEDING
-** ROWS BETWEEN <expr> PRECEDING    AND CURRENT ROW
-** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> FOLLOWING
 ** ROWS BETWEEN <expr> PRECEDING    AND <expr> FOLLOWING
-** ROWS BETWEEN CURRENT ROW         AND <expr> FOLLOWING
-** ROWS BETWEEN <expr> FOLLOWING    AND <expr> FOLLOWING
-** ROWS BETWEEN <expr> PRECEDING    AND UNBOUNDED FOLLOWING
-** ROWS BETWEEN <expr> FOLLOWING    AND UNBOUNDED FOLLOWING
-**
-**   Cases that involve <expr> PRECEDING or <expr> FOLLOWING.
 **
 **   ...
+**     if( new partition ){
+**       Gosub flush_partition
+**     }
 **     Insert (record in eph-table)
 **   sqlite3WhereEnd()
+**   Gosub flush_partition
+**
+** flush_partition:
+**   OpenDup (csr -> csr2)
+**   OpenDup (csr -> csr3)
+**   regPrec = <expr1>            // PRECEDING expression
+**   regFollow = <expr2>          // FOLLOWING expression
+**   if( regPrec<0 || regFollow<0 ) throw exception!
+**   Rewind (csr,csr2,csr3)       // if EOF goto flush_partition_done
+**     Aggstep (csr3)
+**     Next(csr3)                 // if EOF fall-through
+**     if( (regFollow--)<=0 ){
+**       AggFinal (xValue)
+**       Gosub addrGosub
+**       Next(csr)                // if EOF goto flush_partition_done
+**       if( (regPrec--)<=0 ){
+**         AggStep (csr2, xInverse)
+**         Next(csr2)
+**       }
+**     }
+** flush_partition_done:
+**   Close (csr2)
+**   Close (csr3)
+**   ResetSorter (csr)
+**   Return
+**
+** ROWS BETWEEN <expr> PRECEDING    AND CURRENT ROW
+** ROWS BETWEEN CURRENT ROW         AND <expr> FOLLOWING
+** ROWS BETWEEN <expr> PRECEDING    AND UNBOUNDED FOLLOWING
+** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> FOLLOWING
+**
+**   These are similar to the above. For "CURRENT ROW", intialize the
+**   register to 0. For "UNBOUNDED ..." to infinity.
+**
+** ROWS BETWEEN <expr> PRECEDING    AND <expr> PRECEDING
+**
+**   Replace the bit after "Rewind" in the above with:
+**
+**     if( (regFollow--)<=0 ){
+**       AggStep (csr3)
+**       Next (csr3)
+**     }
+**     AggFinal (xValue)
+**     Gosub addrGosub
+**     Next(csr)                  // if EOF goto flush_partition_done
+**     if( (regPrec--)<=0 ){
+**       AggStep (csr2, xInverse)
+**       Next (csr2)
+**     }
+**
+** ROWS BETWEEN <expr> FOLLOWING    AND <expr> FOLLOWING
+**
+**   regFollow = regFollow - regPrec
+**   Rewind (csr,csr2,csr3)       // if EOF goto flush_partition_done
+**     Aggstep (csr3)
+**     Next(csr3)                 // if EOF fall-through
+**     if( (regFollow--)<=0 ){
+**       AggStep (csr2, xInverse)
+**       Next (csr2)
+**       if( (regPrec--)<=0 ){
+**         AggFinal (xValue)
+**         Gosub addrGosub
+**         Next(csr)              // if EOF goto flush_partition_done
+**       }
+**     }
+**
+** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> PRECEDING
+** ROWS BETWEEN <expr> FOLLOWING    AND UNBOUNDED FOLLOWING
+**
+**   Similar to the above, except with regPrec or regFollow set to infinity,
+**   as appropriate.
+**
+**
 **
 */
 void sqlite3WindowCodeStep(
@@ -210,7 +276,7 @@ void sqlite3WindowCodeStep(
     if( pPart ){
       int regNewPart = reg + pMWin->nBufferCol;
       KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pPart, 0, 0);
-      addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart, nPart);
+      addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
       sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
       addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
       for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
@@ -245,7 +311,7 @@ void sqlite3WindowCodeStep(
     sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
     sqlite3VdbeAddOp3(
         v, OP_Copy, reg+pMWin->nBufferCol, pMWin->regPart, nPart+nPeer-1
-        );
+    );
 
     sqlite3VdbeJumpHere(v, addrJump);
   }
diff --git a/test/window2.tcl b/test/window2.tcl
index b81c3ae1e1..54fa9d6bc9 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -160,6 +160,20 @@ execsql_test 2.3 {
   ) FROM t1
 }
 
+execsql_test 2.4 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.5 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING
+  ) FROM t1
+}
+
 finish_test
 
 
diff --git a/test/window2.test b/test/window2.test
index 9db7ee0baf..40a652cf14 100644
--- a/test/window2.test
+++ b/test/window2.test
@@ -66,4 +66,18 @@ do_execsql_test 2.3 {
   ) FROM t1
 } {1 21   2 21   3 21   4 21   5 21   6 21}
 
+do_execsql_test 2.4 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
+  ) FROM t1
+} {1 3   2 6   3 9   4 12   5 15   6 11}
+
+do_execsql_test 2.5 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING
+  ) FROM t1
+} {1 {}   2 1   3 2   4 3   5 4   6 5}
+
 finish_test

From c3a20c19a87915441a7bdcc20ac38228f0988c22 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 23 May 2018 20:55:37 +0000
Subject: [PATCH 007/154] Add support for "ROWS BETWEEN <expr> PRECEDING AND
 <expr> FOLLOWING" window frames.

FossilOrigin-Name: 3a203660f1e4da3b8d2d605c494f4843f6e00752f28042b49e11d7d6550dd406
---
 manifest          |  28 ++--
 manifest.uuid     |   2 +-
 src/btree.c       |   7 +
 src/btree.h       |   1 +
 src/func.c        |  29 +++-
 src/select.c      |  19 ++-
 src/sqliteInt.h   |   6 +-
 src/vdbe.c        |   4 +-
 src/window.c      | 382 ++++++++++++++++++++++++++++++++++------------
 test/window2.tcl  |  58 +++++--
 test/window2.test |  53 +++++++
 11 files changed, 452 insertions(+), 137 deletions(-)

diff --git a/manifest b/manifest
index 1220173c37..4b50211203 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\slatest\strunk\schanges\sinto\sthis\sbranch.
-D 2018-05-22T20:36:12.808
+C Add\ssupport\sfor\s"ROWS\sBETWEEN\s<expr>\sPRECEDING\sAND\s<expr>\sFOLLOWING"\swindow\nframes.
+D 2018-05-23T20:55:37.621
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -435,8 +435,8 @@ F src/auth.c 6277d63837357549fe14e723490d6dc1a38768d71c795c5eb5c0f8a99f918f73
 F src/backup.c faf17e60b43233c214aae6a8179d24503a61e83b
 F src/bitvec.c 17ea48eff8ba979f1f5b04cc484c7bb2be632f33
 F src/btmutex.c 8acc2f464ee76324bf13310df5692a262b801808984c1b79defb2503bbafadb6
-F src/btree.c 8270813c8f0ca91b2802e88ded3755d04ee962a923d431c13bcb6cf3e0c18f63
-F src/btree.h 448f15b98ea85dcf7e4eb76f731cadb89636c676ad25dfaac6de77cd66556598
+F src/btree.c b8fc4fcf851316fc0b84d4aa46899d127df952c39cfeb067bc97036060df1138
+F src/btree.h d46a8e31a4bd15572cdb6f2c940966f57b605b865628028c5eccf7d1bed83bac
 F src/btreeInt.h 620ab4c7235f43572cf3ac2ac8723cbdf68073be4d29da24897c7b77dda5fd96
 F src/build.c 50ff3e0fa07646b4d797aae0f773efcdb7602f6a5e2f5da27856503f35200889
 F src/callback.c fe677cb5f5abb02f7a772a62a98c2f516426081df68856e8f2d5f950929b966a
@@ -449,7 +449,7 @@ F src/delete.c b0f90749e22d5e41a12dbf940f4811138cf97da54b46b737089b93eb64a2896f
 F src/expr.c bb57b0b5ba1351335091ce4ec43b40968746f03afd65c9e2920d7cbe4dc98133
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c d617daf66b5515e2b42c1405b2b4984c30ca50fb705ab164271a9bf66c69e331
-F src/func.c b1a5122c69ef13c7bf0100e792ca539a36034c1b50476233ded6d2f72afcfbfc
+F src/func.c eff9c15696cda3485df3ae52ce3663692a2cd506fba63a5f49f56cb204831021
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -494,12 +494,12 @@ F src/printf.c 1d1b4a568a58d0f32a5ff26c6b98db8a6e1883467f343a6406263cacd2e60c21
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 446f60b2e0d2440bb233d6a69a4ed0f2ad030a4e63ac4b3cfc0e98cf73d9c5a3
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 1ebe775c0651bf357ab83b4c9b9139194149cfe1277dfa3e16f3ed73669b6b04
+F src/select.c 8a7f842a049a3407079e0b0748de916dcd91c00377394b2e8b1aefc5972a0b2f
 F src/shell.c.in 51c100206f4b7f86cd9affd80b764825e0edc36ca0190c442e4ca7994611bfe2
 F src/sqlite.h.in 34be2d0d18bf4726538793bdc9854cd87f689fda4b3789515134cdbd68188cf4
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h a3f0edb26ebfee6107fa99f3c300e71018ad23addeeba0746a4ac62425e36f3f
+F src/sqliteInt.h 735b04170551a899e8703421c376f98c19503b8210ad4cd2e0f35b85b6af595d
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -564,7 +564,7 @@ F src/upsert.c ae4a4823b45c4daf87e8aea8c0f582a8844763271f5ed54ee5956c4c612734f4
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 37730af7540033135909ecaee3667dddec043293428d8718546d0d64ba4a5025
-F src/vdbe.c d83cfec9ebf523d5b2a8a3756ba8f23e39723725334a2e2e947e602ef6e6b278
+F src/vdbe.c 89c76c95a24e2561f5f94ef8530bd0127d512ed56b62932047ef89076d58fa91
 F src/vdbe.h d970d9738efdd09cb2df73e3a40856e7df13e88a3486789c49fcdd322c9eb8a2
 F src/vdbeInt.h 3878856fab3a8e64d27d472909e391db9d82f4f8b902a1737a1f7f351299ff52
 F src/vdbeapi.c 29d2baf9c1233131ec467d7bed1b7c8a03c27579048d768c4b04acf427838858
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 37eb02c2af935f207ba902ef25ec27d635b68bb1567f9e5994a6720bac1c093e
+F src/window.c 1313e941d1e50a44594e6f3e12bc7d0fe6f092ea35c1f3884c31bd224ba66d29
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1615,8 +1615,8 @@ F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
-F test/window2.tcl 7e0b692974a18ae0992dd2e76be83d8e1c6c5cac3190d84fa62911ab0e5c7896
-F test/window2.test e1453371b605e54eeb2264fc3a4a23c5eba93e95f6c7f3230fce9d34b4b5e8a4
+F test/window2.tcl 29e9bb16a52eb1e9e8f376519185af5c64eed88a8e6f0bee54237ba2971803a7
+F test/window2.test f580e1cc96d1ccb6bb220d1e338525ee5541e45e2206ed9ca74417ba862d8a62
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1733,7 +1733,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 16168146b202915252f9375aef38e65ca20c5d4aa906e851d4d3a484db57562d c6071ac99cfa4b6272ac4d739fc61a85acb544f6c1c2ae67b31e92aadcc995bd
-R a9163894154abe7467dbbc7b918577f5
+P cdb68d2c64e453fdcd29437d5915c5c5ab6fbc7b5ffac52f4cb393f35b4a0124
+R 20d653691e285483f3e3bdb0b082aa4b
 U dan
-Z 671adb87a45ec21df0f125088181e31d
+Z e628ea8085262c078f67c7957c5a3c95
diff --git a/manifest.uuid b/manifest.uuid
index 1fe3511414..8f6226467b 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-cdb68d2c64e453fdcd29437d5915c5c5ab6fbc7b5ffac52f4cb393f35b4a0124
\ No newline at end of file
+3a203660f1e4da3b8d2d605c494f4843f6e00752f28042b49e11d7d6550dd406
\ No newline at end of file
diff --git a/src/btree.c b/src/btree.c
index a73896e161..316fa701d6 100644
--- a/src/btree.c
+++ b/src/btree.c
@@ -5176,6 +5176,13 @@ int sqlite3BtreeFirst(BtCursor *pCur, int *pRes){
   return rc;
 }
 
+void sqlite3BtreeSkipNext(BtCursor *pCur){
+  if( pCur->eState==CURSOR_VALID ){
+    pCur->eState = CURSOR_SKIPNEXT;
+    pCur->skipNext = 1;
+  }
+}
+
 /* Move the cursor to the last entry in the table.  Return SQLITE_OK
 ** on success.  Set *pRes to 0 if the cursor actually points to something
 ** or set *pRes to 1 if the table is empty.
diff --git a/src/btree.h b/src/btree.h
index b5bf9f7564..20fdbdae2e 100644
--- a/src/btree.h
+++ b/src/btree.h
@@ -301,6 +301,7 @@ struct BtreePayload {
 int sqlite3BtreeInsert(BtCursor*, const BtreePayload *pPayload,
                        int flags, int seekResult);
 int sqlite3BtreeFirst(BtCursor*, int *pRes);
+void sqlite3BtreeSkipNext(BtCursor*);
 int sqlite3BtreeLast(BtCursor*, int *pRes);
 int sqlite3BtreeNext(BtCursor*, int flags);
 int sqlite3BtreeEof(BtCursor*);
diff --git a/src/func.c b/src/func.c
index ea1fffaf0b..c5836f55f1 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1513,6 +1513,27 @@ static void sumStep(sqlite3_context *context, int argc, sqlite3_value **argv){
     }
   }
 }
+static void sumInverse(sqlite3_context *context, int argc, sqlite3_value**argv){
+  SumCtx *p;
+  int type;
+  assert( argc==1 );
+  UNUSED_PARAMETER(argc);
+  p = sqlite3_aggregate_context(context, sizeof(*p));
+  type = sqlite3_value_numeric_type(argv[0]);
+  if( p && type!=SQLITE_NULL ){
+    p->cnt--;
+    if( type==SQLITE_INTEGER ){
+      i64 v = sqlite3_value_int64(argv[0]);
+      p->rSum -= v;
+      if( (p->approx|p->overflow)==0 && sqlite3AddInt64(&p->iSum, -1*v) ){
+        p->overflow = 1;
+      }
+    }else{
+      p->rSum += sqlite3_value_double(argv[0]);
+      p->approx = 1;
+    }
+  }
+}
 static void sumFinalize(sqlite3_context *context){
   SumCtx *p;
   p = sqlite3_aggregate_context(context, 0);
@@ -1873,12 +1894,12 @@ void sqlite3RegisterBuiltinFunctions(void){
     FUNCTION(zeroblob,           1, 0, 0, zeroblobFunc     ),
     FUNCTION(substr,             2, 0, 0, substrFunc       ),
     FUNCTION(substr,             3, 0, 0, substrFunc       ),
-    WAGGREGATE(sum,               1, 0, 0, sumStep,         sumFinalize),
-    WAGGREGATE(total,             1, 0, 0, sumStep,         totalFinalize    ),
-    WAGGREGATE(avg,               1, 0, 0, sumStep,         avgFinalize    ),
+    WAGGREGATE(sum,        1, 0, 0, sumStep, sumInverse,   sumFinalize),
+    WAGGREGATE(total,      1, 0, 0, sumStep, sumInverse,   totalFinalize    ),
+    WAGGREGATE(avg,        1, 0, 0, sumStep, sumInverse,   avgFinalize    ),
     AGGREGATE2(count,            0, 0, 0, countStep,       countFinalize,
                SQLITE_FUNC_COUNT  ),
-    WAGGREGATE(count,             1, 0, 0, countStep,       countFinalize  ),
+    WAGGREGATE(count,             1, 0, 0, countStep, 0,    countFinalize  ),
     AGGREGATE(group_concat,      1, 0, 0, groupConcatStep, groupConcatFinalize,
         groupConcatValue),
     AGGREGATE(group_concat,      2, 0, 0, groupConcatStep, groupConcatFinalize,
diff --git a/src/select.c b/src/select.c
index 12d6e5ff39..bff5d36b54 100644
--- a/src/select.c
+++ b/src/select.c
@@ -5576,7 +5576,7 @@ static int selectWindowRewrite(Parse *pParse, Select *p){
     }
 #endif
 
-    sqlite3VdbeAddOp2(v, OP_OpenEphemeral, pMWin->iEphCsr, pMWin->nBufferCol);
+    sqlite3VdbeAddOp2(v, OP_OpenEphemeral, pMWin->iEphCsr, pSublist->nExpr);
   }
 
   return rc;
@@ -6087,16 +6087,23 @@ int sqlite3Select(
     if( pWin ){
       int addrGosub = sqlite3VdbeMakeLabel(v);
       int regGosub = ++pParse->nMem;
-      int addr;
+      int addr = 0;
+      int bLoop = 0;
 
-      sqlite3WindowCodeStep(pParse, p, pWInfo, regGosub, addrGosub);
+      sqlite3WindowCodeStep(pParse, p, pWInfo, regGosub, addrGosub, &bLoop);
 
       sqlite3VdbeAddOp0(v, OP_Goto);
       sqlite3VdbeResolveLabel(v, addrGosub);
-      addr = sqlite3VdbeAddOp1(v, OP_Rewind, pWin->iEphCsr);
+      if( bLoop ){
+        addr = sqlite3VdbeAddOp1(v, OP_Rewind, pWin->iEphCsr);
+      }else{
+        addr = sqlite3VdbeCurrentAddr(v);
+      }
       selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest, addr+1, 0);
-      sqlite3VdbeAddOp2(v, OP_Next, pWin->iEphCsr, addr+1);
-      sqlite3VdbeJumpHere(v, addr);
+      if( bLoop ){
+        sqlite3VdbeAddOp2(v, OP_Next, pWin->iEphCsr, addr+1);
+        sqlite3VdbeJumpHere(v, addr);
+      }
       sqlite3VdbeAddOp1(v, OP_Return, regGosub);
       sqlite3VdbeJumpHere(v, addr-1);       /* OP_Goto jumps here */
 
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 45e4934c2e..35db193975 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -1723,9 +1723,9 @@ struct FuncDestructor {
   {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL)|extraFlags, \
    SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xFinal,0,#zName, {0}}
 
-#define WAGGREGATE(zName, nArg, arg, nc, xStep, xFinal) \
+#define WAGGREGATE(zName, nArg, arg, nc, xStep, xInverse, xFinal) \
   {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL), \
-   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xFinal,0,#zName, {0}}
+   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xFinal,xInverse,#zName, {0}}
 
 /*
 ** All current savepoints are stored in a linked list starting at
@@ -3496,7 +3496,7 @@ Window *sqlite3WindowAlloc(Parse*, int, int, Expr*, int , Expr*);
 void sqlite3WindowAttach(Parse*, Expr*, Window*);
 int sqlite3WindowCompare(Parse*, Window*, Window*);
 void sqlite3WindowCodeInit(Parse*, Window*);
-void sqlite3WindowCodeStep(Parse*, Select*, WhereInfo*, int, int);
+void sqlite3WindowCodeStep(Parse*, Select*, WhereInfo*, int, int, int*);
 
 /*
 ** Assuming zIn points to the first byte of a UTF-8 character,
diff --git a/src/vdbe.c b/src/vdbe.c
index 7ab1044552..9f8af702ed 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -5018,6 +5018,7 @@ case OP_Rewind: {        /* jump */
     pCrsr = pC->uc.pCursor;
     assert( pCrsr );
     rc = sqlite3BtreeFirst(pCrsr, &res);
+    if( pOp->p5 ) sqlite3BtreeSkipNext(pCrsr);
     pC->deferredMoveto = 0;
     pC->cacheStatus = CACHE_STALE;
   }
@@ -6273,7 +6274,8 @@ case OP_AggStep: {
   assert( pCtx->pOut->flags==MEM_Null );
   assert( pCtx->isError==0 );
   assert( pCtx->skipFlag==0 );
-  (pCtx->pFunc->xSFunc)(pCtx,pCtx->argc,pCtx->argv); /* IMP: R-24505-23230 */
+  (pOp->p1 ? (pCtx->pFunc->xInverse) : (pCtx->pFunc->xSFunc))
+    (pCtx,pCtx->argc,pCtx->argv); /* IMP: R-24505-23230 */
   if( pCtx->isError ){
     if( pCtx->isError>0 ){
       sqlite3VdbeError(p, "%s", sqlite3_value_text(pCtx->pOut));
diff --git a/src/window.c b/src/window.c
index 4eb04db91c..6af6d4c7ce 100644
--- a/src/window.c
+++ b/src/window.c
@@ -25,8 +25,8 @@ void sqlite3WindowDelete(sqlite3 *db, Window *p){
 Window *sqlite3WindowAlloc(
   Parse *pParse, 
   int eType,
-  int eEnd, Expr *pEnd, 
-  int eStart, Expr *pStart
+  int eStart, Expr *pStart,
+  int eEnd, Expr *pEnd
 ){
   Window *pWin = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
 
@@ -77,6 +77,279 @@ void sqlite3WindowCodeInit(Parse *pParse, Window *pWin){
   }
 }
 
+static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
+  static const char *azErr[] = {
+    "frame starting offset must be a non-negative integer",
+    "frame ending offset must be a non-negative integer"
+  };
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  int regZero = ++pParse->nMem;
+
+
+  sqlite3VdbeAddOp2(v, OP_Integer, 0, regZero);
+  sqlite3VdbeAddOp2(v, OP_MustBeInt, reg, sqlite3VdbeCurrentAddr(v)+2);
+  sqlite3VdbeAddOp3(v, OP_Ge, regZero, sqlite3VdbeCurrentAddr(v)+2, reg);
+  sqlite3VdbeAddOp2(v, OP_Halt, SQLITE_ERROR, OE_Abort);
+  sqlite3VdbeAppendP4(v, (void*)azErr[bEnd], P4_STATIC);
+}
+
+static void windowCodeRowExprStep(
+  Parse *pParse, 
+  Select *p,
+  WhereInfo *pWInfo,
+  int regGosub, 
+  int addrGosub
+){
+  Window *pMWin = p->pWin;
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  Window *pWin;
+  int k;
+  int iSubCsr = p->pSrc->a[0].iCursor;
+  int nSub = p->pSrc->a[0].pTab->nCol;
+  int regFlushPart;               /* Register for "Gosub flush_partition" */
+  int addrFlushPart;              /* Label for "Gosub flush_partition" */
+  int addrDone;                   /* Label for "Gosub flush_partition_done" */
+
+  int reg = pParse->nMem+1;
+  int regRecord = reg+nSub;
+  int regRowid = regRecord+1;
+  int addr;
+  int csrPrec = pParse->nTab++;
+  int csrFollow = pParse->nTab++;
+  int regPrec;                    /* Value of <expr> PRECEDING */
+  int regFollow;                  /* Value of <expr> FOLLOWING */
+  int addrNext;
+  int addrGoto;
+  int addrIfPos1;
+  int addrIfPos2;
+
+  pParse->nMem += nSub + 2;
+
+  /* Allocate register and label for the "flush_partition" sub-routine. */
+  regFlushPart = ++pParse->nMem;
+  addrFlushPart = sqlite3VdbeMakeLabel(v);
+  addrDone = sqlite3VdbeMakeLabel(v);
+
+  regPrec = ++pParse->nMem;
+  regFollow = ++pParse->nMem;
+
+  /* Martial the row returned by the sub-select into an array of 
+  ** registers. */
+  for(k=0; k<nSub; k++){
+    sqlite3VdbeAddOp3(v, OP_Column, iSubCsr, k, reg+k);
+  }
+  sqlite3VdbeAddOp3(v, OP_MakeRecord, reg, nSub, regRecord);
+
+  /* Check if this is the start of a new partition. If so, call the
+  ** flush_partition sub-routine.  */
+  if( pMWin->pPartition ){
+    ExprList *pPart = pMWin->pPartition;
+    int nPart = (pPart ? pPart->nExpr : 0);
+    int addrJump = 0;
+    int regNewPart = reg + pMWin->nBufferCol;
+    KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pPart, 0, 0);
+
+    addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
+    sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+    addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, addr+4, addr+2);
+    sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, addrFlushPart);
+    sqlite3VdbeAddOp3(v, OP_Copy, regNewPart, pMWin->regPart, nPart);
+  }
+
+  /* Buffer the current row in the ephemeral table. */
+  sqlite3VdbeAddOp2(v, OP_NewRowid, pMWin->iEphCsr, regRowid);
+  sqlite3VdbeAddOp3(v, OP_Insert, pMWin->iEphCsr, regRecord, regRowid);
+
+  /* End of the input loop */
+  sqlite3WhereEnd(pWInfo);
+
+  /* Invoke "flush_partition" to deal with the final (or only) partition */
+  sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, addrFlushPart);
+  addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
+
+  /* flush_partition: */
+  sqlite3VdbeResolveLabel(v, addrFlushPart);
+  sqlite3VdbeAddOp2(v, OP_Once, 0, sqlite3VdbeCurrentAddr(v)+3);
+  sqlite3VdbeAddOp2(v, OP_OpenDup, csrPrec, pMWin->iEphCsr);
+  sqlite3VdbeAddOp2(v, OP_OpenDup, csrFollow, pMWin->iEphCsr);
+
+  sqlite3ExprCode(pParse, pMWin->pStart, regPrec);
+  sqlite3ExprCode(pParse, pMWin->pEnd, regFollow);
+
+  sqlite3VdbeAddOp2(v, OP_Null, 0, pMWin->regResult);
+  sqlite3VdbeAddOp2(v, OP_Null, 0, pMWin->regAccum);
+
+  /* If either regPrec or regFollow are not non-negative integers, throw an
+  ** exception.  */
+  windowCheckFrameValue(pParse, regPrec, 0);
+  windowCheckFrameValue(pParse, regFollow, 1);
+
+  sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr, addrDone);
+  sqlite3VdbeAddOp2(v, OP_Rewind, csrPrec, addrDone);
+  sqlite3VdbeChangeP5(v, 1);
+  sqlite3VdbeAddOp2(v, OP_Rewind, csrFollow, addrDone);
+  sqlite3VdbeChangeP5(v, 1);
+
+  /* Invoke AggStep function for each window function using the row that
+  ** csrFollow currently points to. Or, if csrFollow is already at EOF,
+  ** do nothing.  */
+  addrNext = sqlite3VdbeCurrentAddr(v);
+  sqlite3VdbeAddOp2(v, OP_Next, csrFollow, addrNext+2);
+  sqlite3VdbeAddOp0(v, OP_Goto);
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    int i;
+    for(i=0; i<pWin->nArg; i++){
+      sqlite3VdbeAddOp3(v, OP_Column, csrFollow, pWin->iArgCol+i, reg+i);
+    }
+    sqlite3VdbeAddOp3(v, OP_AggStep0, 0, reg, pWin->regAccum);
+    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+  }
+  sqlite3VdbeJumpHere(v, addrNext+1);
+
+  addrIfPos1 = sqlite3VdbeAddOp3(v, OP_IfPos, regFollow, 0 , 1);
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    sqlite3VdbeAddOp3(v, 
+        OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
+    );
+    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+  }
+  sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+  sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)+2);
+  sqlite3VdbeAddOp2(v, OP_Goto, 0, addrDone);
+
+  addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regPrec, 0 , 1);
+  sqlite3VdbeAddOp2(v, OP_Next, csrPrec, sqlite3VdbeCurrentAddr(v)+1);
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    int i;
+    for(i=0; i<pWin->nArg; i++){
+      sqlite3VdbeAddOp3(v, OP_Column, csrPrec, pWin->iArgCol+i, reg+i);
+    }
+    sqlite3VdbeAddOp3(v, OP_AggStep0, 1, reg, pWin->regAccum);
+    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+  }
+  sqlite3VdbeJumpHere(v, addrIfPos2);
+
+  sqlite3VdbeJumpHere(v, addrIfPos1);
+  sqlite3VdbeAddOp2(v, OP_Goto, 0, addrNext);
+
+  /* flush_partition_done: */
+  sqlite3VdbeResolveLabel(v, addrDone);
+  sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
+  sqlite3VdbeAddOp1(v, OP_Return, regFlushPart);
+
+  /* Jump to here to skip over flush_partition */
+  sqlite3VdbeJumpHere(v, addrGoto);
+}
+
+static void windowCodeDefaultStep(
+  Parse *pParse, 
+  Select *p,
+  WhereInfo *pWInfo,
+  int regGosub, 
+  int addrGosub
+){
+  Window *pMWin = p->pWin;
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  Window *pWin;
+  int k;
+  int iSubCsr = p->pSrc->a[0].iCursor;
+  int nSub = p->pSrc->a[0].pTab->nCol;
+  int reg = pParse->nMem+1;
+  int regRecord = reg+nSub;
+  int regRowid = regRecord+1;
+  int addr;
+
+  pParse->nMem += nSub + 2;
+
+  /* Martial the row returned by the sub-select into an array of 
+  ** registers. */
+  for(k=0; k<nSub; k++){
+    sqlite3VdbeAddOp3(v, OP_Column, iSubCsr, k, reg+k);
+  }
+
+  /* Check if this is the start of a new partition or peer group. */
+  if( pMWin->regPart ){
+    ExprList *pPart = pMWin->pPartition;
+    int nPart = (pPart ? pPart->nExpr : 0);
+    ExprList *pOrderBy = pMWin->pOrderBy;
+    int nPeer = (pOrderBy ? pOrderBy->nExpr : 0);
+    int addrGoto = 0;
+    int addrJump = 0;
+
+    if( pPart ){
+      int regNewPart = reg + pMWin->nBufferCol;
+      KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pPart, 0, 0);
+      addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
+      sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+      addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+        sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+        sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+      }
+      if( pOrderBy ){
+        addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
+      }
+    }
+
+    if( pOrderBy ){
+      int regNewPeer = reg + pMWin->nBufferCol + nPart;
+      int regPeer = pMWin->regPart + nPart;
+
+      KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pOrderBy, 0, 0);
+      if( addrJump ) sqlite3VdbeJumpHere(v, addrJump);
+      addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
+      sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+      addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+        sqlite3VdbeAddOp3(v, 
+            OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
+        );
+        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+      }
+      if( addrGoto ) sqlite3VdbeJumpHere(v, addrGoto);
+    }
+
+    sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+    sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
+    sqlite3VdbeAddOp3(
+        v, OP_Copy, reg+pMWin->nBufferCol, pMWin->regPart, nPart+nPeer-1
+    );
+
+    sqlite3VdbeJumpHere(v, addrJump);
+  }
+
+  /* Invoke step function for window functions */
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    sqlite3VdbeAddOp3(v, OP_AggStep0, 0, reg+pWin->iArgCol, pWin->regAccum);
+    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+  }
+
+  /* Buffer the current row in the ephemeral table. */
+  if( pMWin->nBufferCol>0 ){
+    sqlite3VdbeAddOp3(v, OP_MakeRecord, reg, pMWin->nBufferCol, regRecord);
+  }else{
+    sqlite3VdbeAddOp2(v, OP_Blob, 0, regRecord);
+    sqlite3VdbeAppendP4(v, (void*)"", 0);
+  }
+  sqlite3VdbeAddOp2(v, OP_NewRowid, pMWin->iEphCsr, regRowid);
+  sqlite3VdbeAddOp3(v, OP_Insert, pMWin->iEphCsr, regRecord, regRowid);
+
+  /* End the database scan loop. */
+  sqlite3WhereEnd(pWInfo);
+
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+    sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+  }
+  sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+}
+
+
 /*
 ** RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
 **
@@ -243,105 +516,22 @@ void sqlite3WindowCodeStep(
   Select *p,
   WhereInfo *pWInfo,
   int regGosub, 
-  int addrGosub
+  int addrGosub,
+  int *pbLoop
 ){
-  Vdbe *v = sqlite3GetVdbe(pParse);
-  Window *pWin;
   Window *pMWin = p->pWin;
-  int k;
-  int iSubCsr = p->pSrc->a[0].iCursor;
-  int nSub = p->pSrc->a[0].pTab->nCol;
-  int reg = pParse->nMem+1;
-  int regRecord = reg+nSub;
-  int regRowid = regRecord+1;
-  int addr;
 
-  pParse->nMem += nSub + 2;
-
-  /* Martial the row returned by the sub-select into an array of 
-  ** registers. */
-  for(k=0; k<nSub; k++){
-    sqlite3VdbeAddOp3(v, OP_Column, iSubCsr, k, reg+k);
+  if( pMWin->eType==TK_ROWS 
+   && pMWin->eStart==TK_PRECEDING
+   && pMWin->eEnd==TK_FOLLOWING
+  ){
+    *pbLoop = 0;
+    windowCodeRowExprStep(pParse, p, pWInfo, regGosub, addrGosub);
+    return;
   }
 
-  /* Check if this is the start of a new partition or peer group. */
-  if( pMWin->regPart ){
-    ExprList *pPart = pMWin->pPartition;
-    int nPart = (pPart ? pPart->nExpr : 0);
-    ExprList *pOrderBy = pMWin->pOrderBy;
-    int nPeer = (pOrderBy ? pOrderBy->nExpr : 0);
-    int addrGoto = 0;
-    int addrJump = 0;
-
-    if( pPart ){
-      int regNewPart = reg + pMWin->nBufferCol;
-      KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pPart, 0, 0);
-      addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
-      sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
-      addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
-      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-        sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
-        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-        sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
-      }
-      if( pOrderBy ){
-        addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
-      }
-    }
-
-    if( pOrderBy ){
-      int regNewPeer = reg + pMWin->nBufferCol + nPart;
-      int regPeer = pMWin->regPart + nPart;
-
-      KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pOrderBy, 0, 0);
-      if( addrJump ) sqlite3VdbeJumpHere(v, addrJump);
-      addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
-      sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
-      addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
-      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-        sqlite3VdbeAddOp3(v, 
-            OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
-            );
-        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-      }
-      if( addrGoto ) sqlite3VdbeJumpHere(v, addrGoto);
-    }
-
-    sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
-    sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
-    sqlite3VdbeAddOp3(
-        v, OP_Copy, reg+pMWin->nBufferCol, pMWin->regPart, nPart+nPeer-1
-    );
-
-    sqlite3VdbeJumpHere(v, addrJump);
-  }
-
-  /* Invoke step function for window functions */
-  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    sqlite3VdbeAddOp3(v, OP_AggStep0, 0, reg+pWin->iArgCol, pWin->regAccum);
-    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-    sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
-  }
-
-  /* Buffer the current row in the ephemeral table. */
-  if( pMWin->nBufferCol>0 ){
-    sqlite3VdbeAddOp3(v, OP_MakeRecord, reg, pMWin->nBufferCol, regRecord);
-  }else{
-    sqlite3VdbeAddOp2(v, OP_Blob, 0, regRecord);
-    sqlite3VdbeAppendP4(v, (void*)"", 0);
-  }
-  sqlite3VdbeAddOp2(v, OP_NewRowid, pMWin->iEphCsr, regRowid);
-  sqlite3VdbeAddOp3(v, OP_Insert, pMWin->iEphCsr, regRecord, regRowid);
-
-  /* End the database scan loop. */
-  sqlite3WhereEnd(pWInfo);
-
-  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
-    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-    sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
-  }
-  sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+  *pbLoop = 1;
+  windowCodeDefaultStep(pParse, p, pWInfo, regGosub, addrGosub);
 }
 
 
diff --git a/test/window2.tcl b/test/window2.tcl
index 54fa9d6bc9..4d2503715b 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -136,41 +136,75 @@ execsql_test 1.3 {
   SELECT sum(d) OVER (PARTITION BY b) FROM t1;
 }
 
-puts $::fd finish_test
 ==========
-
 execsql_test 2.1 {
   SELECT a, sum(d) OVER (
-    PARTITION BY b ORDER BY d
-    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+    ORDER BY d
+    ROWS BETWEEN 1000 PRECEDING AND 1 FOLLOWING
   ) FROM t1
 }
-
 execsql_test 2.2 {
   SELECT a, sum(d) OVER (
-    ORDER BY b
-    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+    ORDER BY d
+    ROWS BETWEEN 1000 PRECEDING AND 1000 FOLLOWING
   ) FROM t1
 }
-
 execsql_test 2.3 {
   SELECT a, sum(d) OVER (
     ORDER BY d
-    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+    ROWS BETWEEN 1 PRECEDING AND 1000 FOLLOWING
   ) FROM t1
 }
-
 execsql_test 2.4 {
   SELECT a, sum(d) OVER (
     ORDER BY d
     ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
   ) FROM t1
 }
-
 execsql_test 2.5 {
   SELECT a, sum(d) OVER (
     ORDER BY d
-    ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING
+    ROWS BETWEEN 1 PRECEDING AND 0 FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.6 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.7 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 0 PRECEDING AND 0 FOLLOWING
+  ) FROM t1
+}
+
+puts $::fd finish_test
+==========
+
+execsql_test 3.1 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b ORDER BY d
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 3.2 {
+  SELECT a, sum(d) OVER (
+    ORDER BY b
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 3.3 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
   ) FROM t1
 }
 
diff --git a/test/window2.test b/test/window2.test
index 40a652cf14..db4eb44dc7 100644
--- a/test/window2.test
+++ b/test/window2.test
@@ -42,6 +42,59 @@ do_execsql_test 1.3 {
   SELECT sum(d) OVER (PARTITION BY b) FROM t1;
 } {12   12   12   9   9   9}
 
+#==========================================================================
+
+do_execsql_test 2.1 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN 1000 PRECEDING AND 1 FOLLOWING
+  ) FROM t1
+} {1 3   2 6   3 10   4 15   5 21   6 21}
+
+do_execsql_test 2.2 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN 1000 PRECEDING AND 1000 FOLLOWING
+  ) FROM t1
+} {1 21   2 21   3 21   4 21   5 21   6 21}
+
+do_execsql_test 2.3 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN 1 PRECEDING AND 1000 FOLLOWING
+  ) FROM t1
+} {1 21   2 21   3 20   4 18   5 15   6 11}
+
+do_execsql_test 2.4 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
+  ) FROM t1
+} {1 3   2 6   3 9   4 12   5 15   6 11}
+
+do_execsql_test 2.5 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN 1 PRECEDING AND 0 FOLLOWING
+  ) FROM t1
+} {1 1   2 3   3 5   4 7   5 9   6 11}
+
+do_execsql_test 2.6 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
+  ) FROM t1
+} {2 6   4 12   6 10   1 4   3 9   5 8}
+
+do_execsql_test 2.7 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 0 PRECEDING AND 0 FOLLOWING
+  ) FROM t1
+} {2 2   4 4   6 6   1 1   3 3   5 5}
+
 finish_test
 #==========================================================================
 

From 99652dda3cf8f7e420c719b4878dad43bac14040 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 24 May 2018 17:49:14 +0000
Subject: [PATCH 008/154] Support other frame types that use "<expr> PRECEDING"
 or "<expr> FOLLOWING" as start or end conditions.

FossilOrigin-Name: ec7b648c7f0ee266653561bbb9daa45b9be0d8a1a14f11dc93bce467c35154e6
---
 manifest          |  16 ++---
 manifest.uuid     |   2 +-
 src/window.c      | 161 +++++++++++++++++++++++++++-------------------
 test/window2.tcl  |  38 +++++++++++
 test/window2.test |  57 +++++++++++-----
 5 files changed, 183 insertions(+), 91 deletions(-)

diff --git a/manifest b/manifest
index 4b50211203..3a161e7fea 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\ssupport\sfor\s"ROWS\sBETWEEN\s<expr>\sPRECEDING\sAND\s<expr>\sFOLLOWING"\swindow\nframes.
-D 2018-05-23T20:55:37.621
+C Support\sother\sframe\stypes\sthat\suse\s"<expr>\sPRECEDING"\sor\s"<expr>\sFOLLOWING"\sas\nstart\sor\send\sconditions.
+D 2018-05-24T17:49:14.994
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 1313e941d1e50a44594e6f3e12bc7d0fe6f092ea35c1f3884c31bd224ba66d29
+F src/window.c dc58ad62f2bb06d2e289ce65375b7d0047646b73c11a09fb0325febac0aebba7
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1615,8 +1615,8 @@ F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
-F test/window2.tcl 29e9bb16a52eb1e9e8f376519185af5c64eed88a8e6f0bee54237ba2971803a7
-F test/window2.test f580e1cc96d1ccb6bb220d1e338525ee5541e45e2206ed9ca74417ba862d8a62
+F test/window2.tcl 798cfc8bef0f08a27a0ba64e147d8c72e9409c1673cc4ccff2ee7f150aa084e4
+F test/window2.test ca65b0818ddc948a7b0b07ee16a3c489dafcb958203bf8b75356eacd4696a206
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1733,7 +1733,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P cdb68d2c64e453fdcd29437d5915c5c5ab6fbc7b5ffac52f4cb393f35b4a0124
-R 20d653691e285483f3e3bdb0b082aa4b
+P 3a203660f1e4da3b8d2d605c494f4843f6e00752f28042b49e11d7d6550dd406
+R 91a6e47e9aa2b2bca4e7ec8da35f9bee
 U dan
-Z e628ea8085262c078f67c7957c5a3c95
+Z 468858d850092ff66af7324bc283099f
diff --git a/manifest.uuid b/manifest.uuid
index 8f6226467b..09eb988a9c 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-3a203660f1e4da3b8d2d605c494f4843f6e00752f28042b49e11d7d6550dd406
\ No newline at end of file
+ec7b648c7f0ee266653561bbb9daa45b9be0d8a1a14f11dc93bce467c35154e6
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 6af6d4c7ce..47e4181915 100644
--- a/src/window.c
+++ b/src/window.c
@@ -93,6 +93,50 @@ static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
   sqlite3VdbeAppendP4(v, (void*)azErr[bEnd], P4_STATIC);
 }
 
+/*
+** ROWS BETWEEN <expr> PRECEDING    AND <expr> FOLLOWING
+**
+**   ...
+**     if( new partition ){
+**       Gosub flush_partition
+**     }
+**     Insert (record in eph-table)
+**   sqlite3WhereEnd()
+**   Gosub flush_partition
+**
+** flush_partition:
+**   OpenDup (csr -> csr2)
+**   OpenDup (csr -> csr3)
+**   regPrec = <expr1>            // PRECEDING expression
+**   regFollow = <expr2>          // FOLLOWING expression
+**   if( regPrec<0 || regFollow<0 ) throw exception!
+**   Rewind (csr,csr2,csr3)       // if EOF goto flush_partition_done
+**     Aggstep (csr3)
+**     Next(csr3)                 // if EOF fall-through
+**     if( (regFollow--)<=0 ){
+**       AggFinal (xValue)
+**       Gosub addrGosub
+**       Next(csr)                // if EOF goto flush_partition_done
+**       if( (regPrec--)<=0 ){
+**         AggStep (csr2, xInverse)
+**         Next(csr2)
+**       }
+**     }
+** flush_partition_done:
+**   Close (csr2)
+**   Close (csr3)
+**   ResetSorter (csr)
+**   Return
+**
+** ROWS BETWEEN <expr> PRECEDING    AND CURRENT ROW
+** ROWS BETWEEN CURRENT ROW         AND <expr> FOLLOWING
+** ROWS BETWEEN <expr> PRECEDING    AND UNBOUNDED FOLLOWING
+** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> FOLLOWING
+**
+**   These are similar to the above. For "CURRENT ROW", intialize the
+**   register to 0. For "UNBOUNDED ..." to infinity.
+**
+*/
 static void windowCodeRowExprStep(
   Parse *pParse, 
   Select *p,
@@ -123,6 +167,15 @@ static void windowCodeRowExprStep(
   int addrIfPos1;
   int addrIfPos2;
 
+  assert( pMWin->eStart==TK_PRECEDING 
+       || pMWin->eStart==TK_CURRENT 
+       || pMWin->eStart==TK_UNBOUNDED 
+  );
+  assert( pMWin->eEnd==TK_FOLLOWING 
+       || pMWin->eEnd==TK_CURRENT 
+       || pMWin->eEnd==TK_UNBOUNDED 
+  );
+
   pParse->nMem += nSub + 2;
 
   /* Allocate register and label for the "flush_partition" sub-routine. */
@@ -173,17 +226,22 @@ static void windowCodeRowExprStep(
   sqlite3VdbeAddOp2(v, OP_OpenDup, csrPrec, pMWin->iEphCsr);
   sqlite3VdbeAddOp2(v, OP_OpenDup, csrFollow, pMWin->iEphCsr);
 
-  sqlite3ExprCode(pParse, pMWin->pStart, regPrec);
-  sqlite3ExprCode(pParse, pMWin->pEnd, regFollow);
+  /* If either regPrec or regFollow are not non-negative integers, throw 
+  ** an exception.  */
+  if( pMWin->pStart ){
+    assert( pMWin->eStart==TK_PRECEDING );
+    sqlite3ExprCode(pParse, pMWin->pStart, regPrec);
+    windowCheckFrameValue(pParse, regPrec, 0);
+  }
+  if( pMWin->pEnd ){
+    assert( pMWin->eEnd==TK_FOLLOWING );
+    sqlite3ExprCode(pParse, pMWin->pEnd, regFollow);
+    windowCheckFrameValue(pParse, regFollow, 1);
+  }
 
   sqlite3VdbeAddOp2(v, OP_Null, 0, pMWin->regResult);
   sqlite3VdbeAddOp2(v, OP_Null, 0, pMWin->regAccum);
 
-  /* If either regPrec or regFollow are not non-negative integers, throw an
-  ** exception.  */
-  windowCheckFrameValue(pParse, regPrec, 0);
-  windowCheckFrameValue(pParse, regFollow, 1);
-
   sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr, addrDone);
   sqlite3VdbeAddOp2(v, OP_Rewind, csrPrec, addrDone);
   sqlite3VdbeChangeP5(v, 1);
@@ -205,9 +263,17 @@ static void windowCodeRowExprStep(
     sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
     sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
   }
-  sqlite3VdbeJumpHere(v, addrNext+1);
+  if( pMWin->eEnd==TK_UNBOUNDED ){
+    sqlite3VdbeAddOp2(v, OP_Goto, 0, addrNext);
+    sqlite3VdbeJumpHere(v, addrNext+1);
+    addrNext = sqlite3VdbeCurrentAddr(v);
+  }else{
+    sqlite3VdbeJumpHere(v, addrNext+1);
+  }
 
-  addrIfPos1 = sqlite3VdbeAddOp3(v, OP_IfPos, regFollow, 0 , 1);
+  if( pMWin->eEnd==TK_FOLLOWING ){
+    addrIfPos1 = sqlite3VdbeAddOp3(v, OP_IfPos, regFollow, 0 , 1);
+  }
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     sqlite3VdbeAddOp3(v, 
         OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
@@ -218,20 +284,27 @@ static void windowCodeRowExprStep(
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)+2);
   sqlite3VdbeAddOp2(v, OP_Goto, 0, addrDone);
 
-  addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regPrec, 0 , 1);
-  sqlite3VdbeAddOp2(v, OP_Next, csrPrec, sqlite3VdbeCurrentAddr(v)+1);
-  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    int i;
-    for(i=0; i<pWin->nArg; i++){
-      sqlite3VdbeAddOp3(v, OP_Column, csrPrec, pWin->iArgCol+i, reg+i);
+  if( pMWin->eStart==TK_CURRENT || pMWin->eStart==TK_PRECEDING ){
+    if( pMWin->eStart==TK_PRECEDING ){
+      addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regPrec, 0 , 1);
+    }
+    sqlite3VdbeAddOp2(v, OP_Next, csrPrec, sqlite3VdbeCurrentAddr(v)+1);
+    for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+      int i;
+      for(i=0; i<pWin->nArg; i++){
+        sqlite3VdbeAddOp3(v, OP_Column, csrPrec, pWin->iArgCol+i, reg+i);
+      }
+      sqlite3VdbeAddOp3(v, OP_AggStep0, 1, reg, pWin->regAccum);
+      sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+      sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+    }
+    if( pMWin->eStart==TK_PRECEDING ){
+      sqlite3VdbeJumpHere(v, addrIfPos2);
     }
-    sqlite3VdbeAddOp3(v, OP_AggStep0, 1, reg, pWin->regAccum);
-    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-    sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
   }
-  sqlite3VdbeJumpHere(v, addrIfPos2);
-
-  sqlite3VdbeJumpHere(v, addrIfPos1);
+  if( pMWin->eEnd==TK_FOLLOWING ){
+    sqlite3VdbeJumpHere(v, addrIfPos1);
+  }
   sqlite3VdbeAddOp2(v, OP_Goto, 0, addrNext);
 
   /* flush_partition_done: */
@@ -428,48 +501,6 @@ static void windowCodeDefaultStep(
 **
 **========================================================================
 **
-** ROWS BETWEEN <expr> PRECEDING    AND <expr> FOLLOWING
-**
-**   ...
-**     if( new partition ){
-**       Gosub flush_partition
-**     }
-**     Insert (record in eph-table)
-**   sqlite3WhereEnd()
-**   Gosub flush_partition
-**
-** flush_partition:
-**   OpenDup (csr -> csr2)
-**   OpenDup (csr -> csr3)
-**   regPrec = <expr1>            // PRECEDING expression
-**   regFollow = <expr2>          // FOLLOWING expression
-**   if( regPrec<0 || regFollow<0 ) throw exception!
-**   Rewind (csr,csr2,csr3)       // if EOF goto flush_partition_done
-**     Aggstep (csr3)
-**     Next(csr3)                 // if EOF fall-through
-**     if( (regFollow--)<=0 ){
-**       AggFinal (xValue)
-**       Gosub addrGosub
-**       Next(csr)                // if EOF goto flush_partition_done
-**       if( (regPrec--)<=0 ){
-**         AggStep (csr2, xInverse)
-**         Next(csr2)
-**       }
-**     }
-** flush_partition_done:
-**   Close (csr2)
-**   Close (csr3)
-**   ResetSorter (csr)
-**   Return
-**
-** ROWS BETWEEN <expr> PRECEDING    AND CURRENT ROW
-** ROWS BETWEEN CURRENT ROW         AND <expr> FOLLOWING
-** ROWS BETWEEN <expr> PRECEDING    AND UNBOUNDED FOLLOWING
-** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> FOLLOWING
-**
-**   These are similar to the above. For "CURRENT ROW", intialize the
-**   register to 0. For "UNBOUNDED ..." to infinity.
-**
 ** ROWS BETWEEN <expr> PRECEDING    AND <expr> PRECEDING
 **
 **   Replace the bit after "Rewind" in the above with:
@@ -522,8 +553,8 @@ void sqlite3WindowCodeStep(
   Window *pMWin = p->pWin;
 
   if( pMWin->eType==TK_ROWS 
-   && pMWin->eStart==TK_PRECEDING
-   && pMWin->eEnd==TK_FOLLOWING
+   && (pMWin->eStart==TK_PRECEDING || pMWin->eEnd==TK_FOLLOWING)
+   && (pMWin->eStart!=TK_FOLLOWING || pMWin->eEnd==TK_PRECEDING)
   ){
     *pbLoop = 0;
     windowCodeRowExprStep(pParse, p, pWInfo, regGosub, addrGosub);
diff --git a/test/window2.tcl b/test/window2.tcl
index 4d2503715b..44a13cbf54 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -184,6 +184,44 @@ execsql_test 2.7 {
   ) FROM t1
 }
 
+execsql_test 2.8 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND 2 FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.9 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN UNBOUNDED PRECEDING AND 2 FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.10 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND 2 FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.11 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN 2 PRECEDING AND CURRENT ROW
+  ) FROM t1
+}
+
+execsql_test 2.13 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN 2 PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+
+==========
+
 puts $::fd finish_test
 ==========
 
diff --git a/test/window2.test b/test/window2.test
index db4eb44dc7..a5d4ee853e 100644
--- a/test/window2.test
+++ b/test/window2.test
@@ -95,42 +95,65 @@ do_execsql_test 2.7 {
   ) FROM t1
 } {2 2   4 4   6 6   1 1   3 3   5 5}
 
+do_execsql_test 2.8 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND 2 FOLLOWING
+  ) FROM t1
+} {1 6   2 9   3 12   4 15   5 11   6 6}
+
+do_execsql_test 2.9 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN UNBOUNDED PRECEDING AND 2 FOLLOWING
+  ) FROM t1
+} {1 6   2 10   3 15   4 21   5 21   6 21}
+
+do_execsql_test 2.10 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND 2 FOLLOWING
+  ) FROM t1
+} {1 6   2 9   3 12   4 15   5 11   6 6}
+
+do_execsql_test 2.11 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN 2 PRECEDING AND CURRENT ROW
+  ) FROM t1
+} {1 1   2 3   3 6   4 9   5 12   6 15}
+
+do_execsql_test 2.13 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN 2 PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {1 21   2 21   3 21   4 20   5 18   6 15}
+
+#==========================================================================
+
 finish_test
 #==========================================================================
 
-do_execsql_test 2.1 {
+do_execsql_test 3.1 {
   SELECT a, sum(d) OVER (
     PARTITION BY b ORDER BY d
     RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
   ) FROM t1
 } {2 12   4 10   6 6   1 9   3 8   5 5}
 
-do_execsql_test 2.2 {
+do_execsql_test 3.2 {
   SELECT a, sum(d) OVER (
     ORDER BY b
     RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
   ) FROM t1
 } {2 21   4 21   6 21   1 9   3 9   5 9}
 
-do_execsql_test 2.3 {
+do_execsql_test 3.3 {
   SELECT a, sum(d) OVER (
     ORDER BY d
     ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
   ) FROM t1
 } {1 21   2 21   3 21   4 21   5 21   6 21}
 
-do_execsql_test 2.4 {
-  SELECT a, sum(d) OVER (
-    ORDER BY d
-    ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING
-  ) FROM t1
-} {1 3   2 6   3 9   4 12   5 15   6 11}
-
-do_execsql_test 2.5 {
-  SELECT a, sum(d) OVER (
-    ORDER BY d
-    ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING
-  ) FROM t1
-} {1 {}   2 1   3 2   4 3   5 4   6 5}
-
 finish_test

From 31f5639fb71840d83eb7bb18691471f198632a48 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 24 May 2018 21:10:57 +0000
Subject: [PATCH 009/154] Allow "<expr> PRECEDING" to be used to specify the
 end of a window frame.

FossilOrigin-Name: 7b709a989c188dbcf429989a0785294b36c8a7e89b5de8cefc25decf1f5b7f5a
---
 manifest          |  16 ++--
 manifest.uuid     |   2 +-
 src/window.c      | 205 ++++++++++++++++++++++++++++------------------
 test/window2.tcl  |  39 +++++++++
 test/window2.test |  39 +++++++++
 5 files changed, 211 insertions(+), 90 deletions(-)

diff --git a/manifest b/manifest
index 3a161e7fea..5ebfde392c 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Support\sother\sframe\stypes\sthat\suse\s"<expr>\sPRECEDING"\sor\s"<expr>\sFOLLOWING"\sas\nstart\sor\send\sconditions.
-D 2018-05-24T17:49:14.994
+C Allow\s"<expr>\sPRECEDING"\sto\sbe\sused\sto\sspecify\sthe\send\sof\sa\swindow\sframe.
+D 2018-05-24T21:10:57.618
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c dc58ad62f2bb06d2e289ce65375b7d0047646b73c11a09fb0325febac0aebba7
+F src/window.c e4441e8ee3f83df85ff542048d3eed1c199ce6f90f3edcfeb1c4c1f53991b125
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1615,8 +1615,8 @@ F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
-F test/window2.tcl 798cfc8bef0f08a27a0ba64e147d8c72e9409c1673cc4ccff2ee7f150aa084e4
-F test/window2.test ca65b0818ddc948a7b0b07ee16a3c489dafcb958203bf8b75356eacd4696a206
+F test/window2.tcl 6df00293e3691a0d17624de339ce91632252e160701d9be663c21e3706f1dfd0
+F test/window2.test ee542c30bf8502f6df6f1a7304c2ca1d44143dfdd82dfad331f0b3b287de414c
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1733,7 +1733,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 3a203660f1e4da3b8d2d605c494f4843f6e00752f28042b49e11d7d6550dd406
-R 91a6e47e9aa2b2bca4e7ec8da35f9bee
+P ec7b648c7f0ee266653561bbb9daa45b9be0d8a1a14f11dc93bce467c35154e6
+R cae23b80a7b926c27766da973f4ae9e5
 U dan
-Z 468858d850092ff66af7324bc283099f
+Z 6786b4d33cda910bcdf7493ef1afdc20
diff --git a/manifest.uuid b/manifest.uuid
index 09eb988a9c..c007a10b23 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-ec7b648c7f0ee266653561bbb9daa45b9be0d8a1a14f11dc93bce467c35154e6
\ No newline at end of file
+7b709a989c188dbcf429989a0785294b36c8a7e89b5de8cefc25decf1f5b7f5a
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 47e4181915..433c6e3876 100644
--- a/src/window.c
+++ b/src/window.c
@@ -93,6 +93,26 @@ static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
   sqlite3VdbeAppendP4(v, (void*)azErr[bEnd], P4_STATIC);
 }
 
+static void windowAggStep(
+  Parse *pParse, 
+  Window *pMWin, 
+  int csr,
+  int bInverse, 
+  int reg
+){
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  Window *pWin;
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    int i;
+    for(i=0; i<pWin->nArg; i++){
+      sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+i, reg+i);
+    }
+    sqlite3VdbeAddOp3(v, OP_AggStep0, bInverse, reg, pWin->regAccum);
+    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+    sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+  }
+}
+
 /*
 ** ROWS BETWEEN <expr> PRECEDING    AND <expr> FOLLOWING
 **
@@ -105,26 +125,26 @@ static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
 **   Gosub flush_partition
 **
 ** flush_partition:
-**   OpenDup (csr -> csr2)
-**   OpenDup (csr -> csr3)
-**   regPrec = <expr1>            // PRECEDING expression
-**   regFollow = <expr2>          // FOLLOWING expression
-**   if( regPrec<0 || regFollow<0 ) throw exception!
-**   Rewind (csr,csr2,csr3)       // if EOF goto flush_partition_done
-**     Aggstep (csr3)
-**     Next(csr3)                 // if EOF fall-through
-**     if( (regFollow--)<=0 ){
+**   Once {
+**     OpenDup (iEphCsr -> csrStart)
+**     OpenDup (iEphCsr -> csrEnd)
+**   }
+**   regStart = <expr1>            // PRECEDING expression
+**   regEnd = <expr2>          // FOLLOWING expression
+**   if( regStart<0 || regEnd<0 ) throw exception!
+**   Rewind (csr,csrStart,csrEnd)       // if EOF goto flush_partition_done
+**     Aggstep (csrEnd)
+**     Next(csrEnd)                     // if EOF fall-through
+**     if( (regEnd--)<=0 ){
 **       AggFinal (xValue)
 **       Gosub addrGosub
 **       Next(csr)                // if EOF goto flush_partition_done
-**       if( (regPrec--)<=0 ){
-**         AggStep (csr2, xInverse)
-**         Next(csr2)
+**       if( (regStart--)<=0 ){
+**         AggStep (csrStart, xInverse)
+**         Next(csrStart)
 **       }
 **     }
 ** flush_partition_done:
-**   Close (csr2)
-**   Close (csr3)
 **   ResetSorter (csr)
 **   Return
 **
@@ -136,6 +156,38 @@ static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
 **   These are similar to the above. For "CURRENT ROW", intialize the
 **   register to 0. For "UNBOUNDED ..." to infinity.
 **
+** ROWS BETWEEN <expr> FOLLOWING    AND <expr> FOLLOWING
+**
+**   regEnd = regEnd - regStart
+**   Rewind (csr,csrStart,csrEnd)   // if EOF goto flush_partition_done
+**     Aggstep (csrEnd)
+**     Next(csrEnd)                 // if EOF fall-through
+**     if( (regEnd--)<=0 ){
+**       AggStep (csrStart, xInverse)
+**       Next (csrStart)
+**       if( (regStart--)<=0 ){
+**         AggFinal (xValue)
+**         Gosub addrGosub
+**         Next(csr)              // if EOF goto flush_partition_done
+**       }
+**     }
+**
+** ROWS BETWEEN <expr> PRECEDING    AND <expr> PRECEDING
+**
+**   Replace the bit after "Rewind" in the above with:
+**
+**     if( (regEnd--)<=0 ){
+**       AggStep (csrEnd)
+**       Next (csrEnd)
+**     }
+**     AggFinal (xValue)
+**     Gosub addrGosub
+**     Next(csr)                  // if EOF goto flush_partition_done
+**     if( (regStart--)<=0 ){
+**       AggStep (csr2, xInverse)
+**       Next (csr2)
+**     }
+**
 */
 static void windowCodeRowExprStep(
   Parse *pParse, 
@@ -151,19 +203,20 @@ static void windowCodeRowExprStep(
   int iSubCsr = p->pSrc->a[0].iCursor;
   int nSub = p->pSrc->a[0].pTab->nCol;
   int regFlushPart;               /* Register for "Gosub flush_partition" */
-  int addrFlushPart;              /* Label for "Gosub flush_partition" */
-  int addrDone;                   /* Label for "Gosub flush_partition_done" */
+  int lblFlushPart;               /* Label for "Gosub flush_partition" */
+  int lblFlushDone;               /* Label for "Gosub flush_partition_done" */
 
   int reg = pParse->nMem+1;
   int regRecord = reg+nSub;
   int regRowid = regRecord+1;
   int addr;
-  int csrPrec = pParse->nTab++;
-  int csrFollow = pParse->nTab++;
-  int regPrec;                    /* Value of <expr> PRECEDING */
-  int regFollow;                  /* Value of <expr> FOLLOWING */
+  int csrStart = pParse->nTab++;
+  int csrEnd = pParse->nTab++;
+  int regStart;                    /* Value of <expr> PRECEDING */
+  int regEnd;                      /* Value of <expr> FOLLOWING */
   int addrNext;
   int addrGoto;
+  int addrTop;
   int addrIfPos1;
   int addrIfPos2;
 
@@ -174,17 +227,18 @@ static void windowCodeRowExprStep(
   assert( pMWin->eEnd==TK_FOLLOWING 
        || pMWin->eEnd==TK_CURRENT 
        || pMWin->eEnd==TK_UNBOUNDED 
+       || pMWin->eEnd==TK_PRECEDING 
   );
 
   pParse->nMem += nSub + 2;
 
   /* Allocate register and label for the "flush_partition" sub-routine. */
   regFlushPart = ++pParse->nMem;
-  addrFlushPart = sqlite3VdbeMakeLabel(v);
-  addrDone = sqlite3VdbeMakeLabel(v);
+  lblFlushPart = sqlite3VdbeMakeLabel(v);
+  lblFlushDone = sqlite3VdbeMakeLabel(v);
 
-  regPrec = ++pParse->nMem;
-  regFollow = ++pParse->nMem;
+  regStart = ++pParse->nMem;
+  regEnd = ++pParse->nMem;
 
   /* Martial the row returned by the sub-select into an array of 
   ** registers. */
@@ -205,7 +259,7 @@ static void windowCodeRowExprStep(
     addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
     sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
     addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, addr+4, addr+2);
-    sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, addrFlushPart);
+    sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
     sqlite3VdbeAddOp3(v, OP_Copy, regNewPart, pMWin->regPart, nPart);
   }
 
@@ -217,62 +271,61 @@ static void windowCodeRowExprStep(
   sqlite3WhereEnd(pWInfo);
 
   /* Invoke "flush_partition" to deal with the final (or only) partition */
-  sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, addrFlushPart);
+  sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
   addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
 
   /* flush_partition: */
-  sqlite3VdbeResolveLabel(v, addrFlushPart);
+  sqlite3VdbeResolveLabel(v, lblFlushPart);
   sqlite3VdbeAddOp2(v, OP_Once, 0, sqlite3VdbeCurrentAddr(v)+3);
-  sqlite3VdbeAddOp2(v, OP_OpenDup, csrPrec, pMWin->iEphCsr);
-  sqlite3VdbeAddOp2(v, OP_OpenDup, csrFollow, pMWin->iEphCsr);
+  sqlite3VdbeAddOp2(v, OP_OpenDup, csrStart, pMWin->iEphCsr);
+  sqlite3VdbeAddOp2(v, OP_OpenDup, csrEnd, pMWin->iEphCsr);
 
-  /* If either regPrec or regFollow are not non-negative integers, throw 
+  /* If either regStart or regEnd are not non-negative integers, throw 
   ** an exception.  */
   if( pMWin->pStart ){
     assert( pMWin->eStart==TK_PRECEDING );
-    sqlite3ExprCode(pParse, pMWin->pStart, regPrec);
-    windowCheckFrameValue(pParse, regPrec, 0);
+    sqlite3ExprCode(pParse, pMWin->pStart, regStart);
+    windowCheckFrameValue(pParse, regStart, 0);
   }
   if( pMWin->pEnd ){
-    assert( pMWin->eEnd==TK_FOLLOWING );
-    sqlite3ExprCode(pParse, pMWin->pEnd, regFollow);
-    windowCheckFrameValue(pParse, regFollow, 1);
+    sqlite3ExprCode(pParse, pMWin->pEnd, regEnd);
+    windowCheckFrameValue(pParse, regEnd, 1);
   }
 
-  sqlite3VdbeAddOp2(v, OP_Null, 0, pMWin->regResult);
-  sqlite3VdbeAddOp2(v, OP_Null, 0, pMWin->regAccum);
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
+    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
+  }
 
-  sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr, addrDone);
-  sqlite3VdbeAddOp2(v, OP_Rewind, csrPrec, addrDone);
+  sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr, lblFlushDone);
+  sqlite3VdbeAddOp2(v, OP_Rewind, csrStart, lblFlushDone);
   sqlite3VdbeChangeP5(v, 1);
-  sqlite3VdbeAddOp2(v, OP_Rewind, csrFollow, addrDone);
+  sqlite3VdbeAddOp2(v, OP_Rewind, csrEnd, lblFlushDone);
   sqlite3VdbeChangeP5(v, 1);
 
   /* Invoke AggStep function for each window function using the row that
-  ** csrFollow currently points to. Or, if csrFollow is already at EOF,
+  ** csrEnd currently points to. Or, if csrEnd is already at EOF,
   ** do nothing.  */
-  addrNext = sqlite3VdbeCurrentAddr(v);
-  sqlite3VdbeAddOp2(v, OP_Next, csrFollow, addrNext+2);
-  sqlite3VdbeAddOp0(v, OP_Goto);
-  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    int i;
-    for(i=0; i<pWin->nArg; i++){
-      sqlite3VdbeAddOp3(v, OP_Column, csrFollow, pWin->iArgCol+i, reg+i);
-    }
-    sqlite3VdbeAddOp3(v, OP_AggStep0, 0, reg, pWin->regAccum);
-    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-    sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+  addrTop = sqlite3VdbeCurrentAddr(v);
+  if( pMWin->eEnd==TK_PRECEDING ){
+    addrIfPos1 = sqlite3VdbeAddOp3(v, OP_IfPos, regEnd, 0 , 1);
   }
+  sqlite3VdbeAddOp2(v, OP_Next, csrEnd, sqlite3VdbeCurrentAddr(v)+2);
+  addr = sqlite3VdbeAddOp0(v, OP_Goto);
+  windowAggStep(pParse, pMWin, csrEnd, 0, reg);
   if( pMWin->eEnd==TK_UNBOUNDED ){
-    sqlite3VdbeAddOp2(v, OP_Goto, 0, addrNext);
-    sqlite3VdbeJumpHere(v, addrNext+1);
-    addrNext = sqlite3VdbeCurrentAddr(v);
+    sqlite3VdbeAddOp2(v, OP_Goto, 0, addrTop);
+    sqlite3VdbeJumpHere(v, addr);
+    addrTop = sqlite3VdbeCurrentAddr(v);
   }else{
-    sqlite3VdbeJumpHere(v, addrNext+1);
+    sqlite3VdbeJumpHere(v, addr);
+    if( pMWin->eEnd==TK_PRECEDING ){
+      sqlite3VdbeJumpHere(v, addrIfPos1);
+    }
   }
 
   if( pMWin->eEnd==TK_FOLLOWING ){
-    addrIfPos1 = sqlite3VdbeAddOp3(v, OP_IfPos, regFollow, 0 , 1);
+    addrIfPos1 = sqlite3VdbeAddOp3(v, OP_IfPos, regEnd, 0 , 1);
   }
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     sqlite3VdbeAddOp3(v, 
@@ -282,22 +335,14 @@ static void windowCodeRowExprStep(
   }
   sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)+2);
-  sqlite3VdbeAddOp2(v, OP_Goto, 0, addrDone);
+  sqlite3VdbeAddOp2(v, OP_Goto, 0, lblFlushDone);
 
   if( pMWin->eStart==TK_CURRENT || pMWin->eStart==TK_PRECEDING ){
     if( pMWin->eStart==TK_PRECEDING ){
-      addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regPrec, 0 , 1);
-    }
-    sqlite3VdbeAddOp2(v, OP_Next, csrPrec, sqlite3VdbeCurrentAddr(v)+1);
-    for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-      int i;
-      for(i=0; i<pWin->nArg; i++){
-        sqlite3VdbeAddOp3(v, OP_Column, csrPrec, pWin->iArgCol+i, reg+i);
-      }
-      sqlite3VdbeAddOp3(v, OP_AggStep0, 1, reg, pWin->regAccum);
-      sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-      sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+      addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
     }
+    sqlite3VdbeAddOp2(v, OP_Next, csrStart, sqlite3VdbeCurrentAddr(v)+1);
+    windowAggStep(pParse, pMWin, csrStart, 1, reg);
     if( pMWin->eStart==TK_PRECEDING ){
       sqlite3VdbeJumpHere(v, addrIfPos2);
     }
@@ -305,10 +350,10 @@ static void windowCodeRowExprStep(
   if( pMWin->eEnd==TK_FOLLOWING ){
     sqlite3VdbeJumpHere(v, addrIfPos1);
   }
-  sqlite3VdbeAddOp2(v, OP_Goto, 0, addrNext);
+  sqlite3VdbeAddOp2(v, OP_Goto, 0, addrTop);
 
   /* flush_partition_done: */
-  sqlite3VdbeResolveLabel(v, addrDone);
+  sqlite3VdbeResolveLabel(v, lblFlushDone);
   sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
   sqlite3VdbeAddOp1(v, OP_Return, regFlushPart);
 
@@ -505,28 +550,28 @@ static void windowCodeDefaultStep(
 **
 **   Replace the bit after "Rewind" in the above with:
 **
-**     if( (regFollow--)<=0 ){
+**     if( (regEnd--)<=0 ){
 **       AggStep (csr3)
 **       Next (csr3)
 **     }
 **     AggFinal (xValue)
 **     Gosub addrGosub
 **     Next(csr)                  // if EOF goto flush_partition_done
-**     if( (regPrec--)<=0 ){
+**     if( (regStart--)<=0 ){
 **       AggStep (csr2, xInverse)
 **       Next (csr2)
 **     }
 **
 ** ROWS BETWEEN <expr> FOLLOWING    AND <expr> FOLLOWING
 **
-**   regFollow = regFollow - regPrec
+**   regEnd = regEnd - regStart
 **   Rewind (csr,csr2,csr3)       // if EOF goto flush_partition_done
 **     Aggstep (csr3)
 **     Next(csr3)                 // if EOF fall-through
-**     if( (regFollow--)<=0 ){
+**     if( (regEnd--)<=0 ){
 **       AggStep (csr2, xInverse)
 **       Next (csr2)
-**       if( (regPrec--)<=0 ){
+**       if( (regStart--)<=0 ){
 **         AggFinal (xValue)
 **         Gosub addrGosub
 **         Next(csr)              // if EOF goto flush_partition_done
@@ -536,7 +581,7 @@ static void windowCodeDefaultStep(
 ** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> PRECEDING
 ** ROWS BETWEEN <expr> FOLLOWING    AND UNBOUNDED FOLLOWING
 **
-**   Similar to the above, except with regPrec or regFollow set to infinity,
+**   Similar to the above, except with regStart or regEnd set to infinity,
 **   as appropriate.
 **
 **
@@ -552,10 +597,8 @@ void sqlite3WindowCodeStep(
 ){
   Window *pMWin = p->pWin;
 
-  if( pMWin->eType==TK_ROWS 
-   && (pMWin->eStart==TK_PRECEDING || pMWin->eEnd==TK_FOLLOWING)
-   && (pMWin->eStart!=TK_FOLLOWING || pMWin->eEnd==TK_PRECEDING)
-  ){
+  if( pMWin->pStart || pMWin->pEnd ){
+    assert( pMWin->eType==TK_ROWS );
     *pbLoop = 0;
     windowCodeRowExprStep(pParse, p, pWInfo, regGosub, addrGosub);
     return;
diff --git a/test/window2.tcl b/test/window2.tcl
index 44a13cbf54..c32249cc8b 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -219,6 +219,45 @@ execsql_test 2.13 {
   ) FROM t1
 }
 
+execsql_test 2.14 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN 3 PRECEDING AND 1 PRECEDING
+  ) FROM t1
+}
+
+execsql_test 2.15 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 PRECEDING AND 0 PRECEDING
+  ) FROM t1
+}
+
+execsql_test 2.16 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING
+  ) FROM t1
+}
+
+execsql_test 2.17 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 PRECEDING AND 2 PRECEDING
+  ) FROM t1
+}
+
+execsql_test 2.18 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN UNBOUNDED PRECEDING AND 2 PRECEDING
+  ) FROM t1
+}
+
 
 ==========
 
diff --git a/test/window2.test b/test/window2.test
index a5d4ee853e..bc6c449235 100644
--- a/test/window2.test
+++ b/test/window2.test
@@ -130,6 +130,45 @@ do_execsql_test 2.13 {
   ) FROM t1
 } {1 21   2 21   3 21   4 20   5 18   6 15}
 
+do_execsql_test 2.14 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN 3 PRECEDING AND 1 PRECEDING
+  ) FROM t1
+} {1 {}   2 1   3 3   4 6   5 9   6 12}
+
+do_execsql_test 2.15 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 PRECEDING AND 0 PRECEDING
+  ) FROM t1
+} {2 2   4 6   6 10   1 1   3 4   5 8}
+
+do_execsql_test 2.16 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING
+  ) FROM t1
+} {2 {}   4 2   6 4   1 {}   3 1   5 3}
+
+do_execsql_test 2.17 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 PRECEDING AND 2 PRECEDING
+  ) FROM t1
+} {2 {}   4 {}   6 {}   1 {}   3 {}   5 {}}
+
+do_execsql_test 2.18 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN UNBOUNDED PRECEDING AND 2 PRECEDING
+  ) FROM t1
+} {2 {}   4 {}   6 2   1 {}   3 {}   5 1}
+
 #==========================================================================
 
 finish_test

From e105dd7622229ec4734610b6dcdcf39f5aca6683 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 25 May 2018 09:29:11 +0000
Subject: [PATCH 010/154] Fixes for "ROWS BETWEEN <expr> FOLLOWING AND <expr>
 FOLLOWING" and "ROWS BETWEEN <expr> FOLLOWING AND UNBOUNDED FOLLOWING"

FossilOrigin-Name: 5ac44872fd5c4f92851e7bf57d7207bb4d67de88ea2b5c746ff97f20bd6352e1
---
 manifest          | 16 +++++------
 manifest.uuid     |  2 +-
 src/window.c      | 22 ++++++++++++---
 test/window2.tcl  | 70 +++++++++++++++++++++++++++++++++--------------
 test/window2.test | 51 ++++++++++++++++++++--------------
 5 files changed, 106 insertions(+), 55 deletions(-)

diff --git a/manifest b/manifest
index 5ebfde392c..8972e3625d 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Allow\s"<expr>\sPRECEDING"\sto\sbe\sused\sto\sspecify\sthe\send\sof\sa\swindow\sframe.
-D 2018-05-24T21:10:57.618
+C Fixes\sfor\s"ROWS\sBETWEEN\s<expr>\sFOLLOWING\sAND\s<expr>\sFOLLOWING"\sand\s"ROWS\nBETWEEN\s<expr>\sFOLLOWING\sAND\sUNBOUNDED\sFOLLOWING"
+D 2018-05-25T09:29:11.361
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c e4441e8ee3f83df85ff542048d3eed1c199ce6f90f3edcfeb1c4c1f53991b125
+F src/window.c 4f9f7ceffb08db3a51d3b6450d464206de335122ac9a3e1e70545eda27abd34f
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1615,8 +1615,8 @@ F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
-F test/window2.tcl 6df00293e3691a0d17624de339ce91632252e160701d9be663c21e3706f1dfd0
-F test/window2.test ee542c30bf8502f6df6f1a7304c2ca1d44143dfdd82dfad331f0b3b287de414c
+F test/window2.tcl fd079901ac103a99761803477161834208a243bdd6ec0fbbbd0fc93c7dca1945
+F test/window2.test 4f5efb59714ec741e510f12a24a3196316b90715860d79acb904fb5cc45a3dca
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1733,7 +1733,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P ec7b648c7f0ee266653561bbb9daa45b9be0d8a1a14f11dc93bce467c35154e6
-R cae23b80a7b926c27766da973f4ae9e5
+P 7b709a989c188dbcf429989a0785294b36c8a7e89b5de8cefc25decf1f5b7f5a
+R 5f959d7a0a7f70c41b9ccac874921e95
 U dan
-Z 6786b4d33cda910bcdf7493ef1afdc20
+Z ca20d77c2db1ab2eada699a4eb9123fb
diff --git a/manifest.uuid b/manifest.uuid
index c007a10b23..1380f34bc1 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-7b709a989c188dbcf429989a0785294b36c8a7e89b5de8cefc25decf1f5b7f5a
\ No newline at end of file
+5ac44872fd5c4f92851e7bf57d7207bb4d67de88ea2b5c746ff97f20bd6352e1
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 433c6e3876..1c8b759d47 100644
--- a/src/window.c
+++ b/src/window.c
@@ -163,13 +163,13 @@ static void windowAggStep(
 **     Aggstep (csrEnd)
 **     Next(csrEnd)                 // if EOF fall-through
 **     if( (regEnd--)<=0 ){
-**       AggStep (csrStart, xInverse)
-**       Next (csrStart)
 **       if( (regStart--)<=0 ){
 **         AggFinal (xValue)
 **         Gosub addrGosub
 **         Next(csr)              // if EOF goto flush_partition_done
 **       }
+**       AggStep (csrStart, xInverse)
+**       Next (csrStart)
 **     }
 **
 ** ROWS BETWEEN <expr> PRECEDING    AND <expr> PRECEDING
@@ -222,6 +222,7 @@ static void windowCodeRowExprStep(
 
   assert( pMWin->eStart==TK_PRECEDING 
        || pMWin->eStart==TK_CURRENT 
+       || pMWin->eStart==TK_FOLLOWING 
        || pMWin->eStart==TK_UNBOUNDED 
   );
   assert( pMWin->eEnd==TK_FOLLOWING 
@@ -283,13 +284,16 @@ static void windowCodeRowExprStep(
   /* If either regStart or regEnd are not non-negative integers, throw 
   ** an exception.  */
   if( pMWin->pStart ){
-    assert( pMWin->eStart==TK_PRECEDING );
     sqlite3ExprCode(pParse, pMWin->pStart, regStart);
     windowCheckFrameValue(pParse, regStart, 0);
   }
   if( pMWin->pEnd ){
     sqlite3ExprCode(pParse, pMWin->pEnd, regEnd);
     windowCheckFrameValue(pParse, regEnd, 1);
+    if( pMWin->pStart && pMWin->eStart==TK_FOLLOWING ){
+      assert( pMWin->eEnd==TK_FOLLOWING );
+      sqlite3VdbeAddOp3(v, OP_Subtract, regStart, regEnd, regEnd);
+    }
   }
 
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
@@ -327,7 +331,11 @@ static void windowCodeRowExprStep(
   if( pMWin->eEnd==TK_FOLLOWING ){
     addrIfPos1 = sqlite3VdbeAddOp3(v, OP_IfPos, regEnd, 0 , 1);
   }
+  if( pMWin->eStart==TK_FOLLOWING ){
+    addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
+  }
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
     sqlite3VdbeAddOp3(v, 
         OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
     );
@@ -336,8 +344,14 @@ static void windowCodeRowExprStep(
   sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)+2);
   sqlite3VdbeAddOp2(v, OP_Goto, 0, lblFlushDone);
+  if( pMWin->eStart==TK_FOLLOWING ){
+    sqlite3VdbeJumpHere(v, addrIfPos2);
+  }
 
-  if( pMWin->eStart==TK_CURRENT || pMWin->eStart==TK_PRECEDING ){
+  if( pMWin->eStart==TK_CURRENT 
+   || pMWin->eStart==TK_PRECEDING 
+   || pMWin->eStart==TK_FOLLOWING 
+  ){
     if( pMWin->eStart==TK_PRECEDING ){
       addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
     }
diff --git a/test/window2.tcl b/test/window2.tcl
index c32249cc8b..f1ab7a7ce9 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -258,32 +258,60 @@ execsql_test 2.18 {
   ) FROM t1
 }
 
+execsql_test 2.19 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 FOLLOWING AND 3 FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.20 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN 1 FOLLOWING AND 2 FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.21 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN 1 FOLLOWING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.22 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 FOLLOWING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
 
 ==========
-
 puts $::fd finish_test
 ==========
 
-execsql_test 3.1 {
-  SELECT a, sum(d) OVER (
-    PARTITION BY b ORDER BY d
-    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
-  ) FROM t1
-}
-
-execsql_test 3.2 {
-  SELECT a, sum(d) OVER (
-    ORDER BY b
-    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
-  ) FROM t1
-}
-
-execsql_test 3.3 {
-  SELECT a, sum(d) OVER (
-    ORDER BY d
-    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
-  ) FROM t1
-}
+# execsql_test 3.1 {
+#   SELECT a, sum(d) OVER (
+#     PARTITION BY b ORDER BY d
+#     RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+#   ) FROM t1
+# }
+# 
+# execsql_test 3.2 {
+#   SELECT a, sum(d) OVER (
+#     ORDER BY b
+#     RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+#   ) FROM t1
+# }
+# 
+# execsql_test 3.3 {
+#   SELECT a, sum(d) OVER (
+#     ORDER BY d
+#     ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+#   ) FROM t1
+# }
 
 finish_test
 
diff --git a/test/window2.test b/test/window2.test
index bc6c449235..f19b447600 100644
--- a/test/window2.test
+++ b/test/window2.test
@@ -169,30 +169,39 @@ do_execsql_test 2.18 {
   ) FROM t1
 } {2 {}   4 {}   6 2   1 {}   3 {}   5 1}
 
+do_execsql_test 2.19 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 FOLLOWING AND 3 FOLLOWING
+  ) FROM t1
+} {2 10   4 6   6 {}   1 8   3 5   5 {}}
+
+do_execsql_test 2.20 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN 1 FOLLOWING AND 2 FOLLOWING
+  ) FROM t1
+} {1 5   2 7   3 9   4 11   5 6   6 {}}
+
+do_execsql_test 2.21 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN 1 FOLLOWING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {1 20   2 18   3 15   4 11   5 6   6 {}}
+
+do_execsql_test 2.22 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN 1 FOLLOWING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {2 10   4 6   6 {}   1 8   3 5   5 {}}
+
 #==========================================================================
 
 finish_test
 #==========================================================================
 
-do_execsql_test 3.1 {
-  SELECT a, sum(d) OVER (
-    PARTITION BY b ORDER BY d
-    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
-  ) FROM t1
-} {2 12   4 10   6 6   1 9   3 8   5 5}
-
-do_execsql_test 3.2 {
-  SELECT a, sum(d) OVER (
-    ORDER BY b
-    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
-  ) FROM t1
-} {2 21   4 21   6 21   1 9   3 9   5 9}
-
-do_execsql_test 3.3 {
-  SELECT a, sum(d) OVER (
-    ORDER BY d
-    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
-  ) FROM t1
-} {1 21   2 21   3 21   4 21   5 21   6 21}
-
 finish_test

From 09590aaa1bc5c31ecba63e40a640ee58c98bfc10 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 25 May 2018 20:30:17 +0000
Subject: [PATCH 011/154] Fix "RANGE BETWEEN CURRENT ROW AND UNBOUNDED
 FOLLOWING" window frame processing.

FossilOrigin-Name: b4e9c686697a5211a3bfa47e63f0684e3d4241d8c292cffe1a967bc39ad7cd8f
---
 manifest          |  16 ++--
 manifest.uuid     |   2 +-
 src/window.c      | 204 ++++++++++++++++++++++++++++------------------
 test/window2.tcl  |  58 +++++++++++++
 test/window2.test |  59 ++++++++++++++
 5 files changed, 250 insertions(+), 89 deletions(-)

diff --git a/manifest b/manifest
index de95676ec9..b223acdcab 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\slatest\strunk\schanges\sinto\sthis\sbranch.
-D 2018-05-25T09:36:27.522
+C Fix\s"RANGE\sBETWEEN\sCURRENT\sROW\sAND\sUNBOUNDED\sFOLLOWING"\swindow\sframe\nprocessing.
+D 2018-05-25T20:30:17.495
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 4f9f7ceffb08db3a51d3b6450d464206de335122ac9a3e1e70545eda27abd34f
+F src/window.c 793ad5ffe29cf09f33db392f2e21f42de76f7292a1819e50b12740bff337b9d7
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1615,8 +1615,8 @@ F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
-F test/window2.tcl fd079901ac103a99761803477161834208a243bdd6ec0fbbbd0fc93c7dca1945
-F test/window2.test 4f5efb59714ec741e510f12a24a3196316b90715860d79acb904fb5cc45a3dca
+F test/window2.tcl 4d0fd12b30cb1cf3f0e125dc8ff7f88c048fdc6a9301df7542abea26627c1f9a
+F test/window2.test 47bb1eb149a605d2082794c7036bdd130a4e6c7ee59ded740748c79b37013aac
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1733,7 +1733,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 5ac44872fd5c4f92851e7bf57d7207bb4d67de88ea2b5c746ff97f20bd6352e1 b816023ce07d01024d5769e16db924374a49bf909edd12dc1344a0a1ef693db5
-R 08a95b4b6cfd3d911449e2174d41c045
+P 6232519899efc568465d8fcc9fcd79d46a2ce4ec05109d26d5eb1ebd239cd596
+R 89fd55d38159d271a1d4c5a8e0028929
 U dan
-Z 91662d48d0166ff2fae671b2e45e9cba
+Z b9c949b19ea308875db3121f11330208
diff --git a/manifest.uuid b/manifest.uuid
index 9d48a0420d..d6da466c99 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-6232519899efc568465d8fcc9fcd79d46a2ce4ec05109d26d5eb1ebd239cd596
\ No newline at end of file
+b4e9c686697a5211a3bfa47e63f0684e3d4241d8c292cffe1a967bc39ad7cd8f
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 1c8b759d47..ecbbb9c35f 100644
--- a/src/window.c
+++ b/src/window.c
@@ -114,47 +114,95 @@ static void windowAggStep(
 }
 
 /*
-** ROWS BETWEEN <expr> PRECEDING    AND <expr> FOLLOWING
+** ROWS BETWEEN <expr1> PRECEDING AND <expr2> FOLLOWING
+** ----------------------------------------------------
 **
-**   ...
-**     if( new partition ){
-**       Gosub flush_partition
+** Pseudo-code for the implementation of this window frame type is as
+** follows. sqlite3WhereBegin() has already been called to generate the
+** top of the main loop when this function is called.
+**
+** Each time the sub-routine at addrGosub is invoked, a single output
+** row is generated based on the current row indicated by Window.iEphCsr.
+**
+**     ...
+**       if( new partition ){
+**         Gosub flush_partition
+**       }
+**       Insert (record in eph-table)
+**     sqlite3WhereEnd()
+**     Gosub flush_partition
+**  
+**   flush_partition:
+**     Once {
+**       OpenDup (iEphCsr -> csrStart)
+**       OpenDup (iEphCsr -> csrEnd)
 **     }
-**     Insert (record in eph-table)
-**   sqlite3WhereEnd()
-**   Gosub flush_partition
+**     regStart = <expr1>                // PRECEDING expression
+**     regEnd = <expr2>                  // FOLLOWING expression
+**     if( regStart<0 || regEnd<0 ){ error! }
+**     Rewind (csr,csrStart,csrEnd)      // if EOF goto flush_partition_done
+**       Next(csrEnd)                    // if EOF skip Aggstep
+**       Aggstep (csrEnd)
+**       if( (regEnd--)<=0 ){
+**         AggFinal (xValue)
+**         Gosub addrGosub
+**         Next(csr)                // if EOF goto flush_partition_done
+**         if( (regStart--)<=0 ){
+**           AggStep (csrStart, xInverse)
+**           Next(csrStart)
+**         }
+**       }
+**   flush_partition_done:
+**     ResetSorter (csr)
+**     Return
 **
-** flush_partition:
-**   Once {
-**     OpenDup (iEphCsr -> csrStart)
-**     OpenDup (iEphCsr -> csrEnd)
-**   }
-**   regStart = <expr1>            // PRECEDING expression
-**   regEnd = <expr2>          // FOLLOWING expression
-**   if( regStart<0 || regEnd<0 ) throw exception!
-**   Rewind (csr,csrStart,csrEnd)       // if EOF goto flush_partition_done
-**     Aggstep (csrEnd)
-**     Next(csrEnd)                     // if EOF fall-through
-**     if( (regEnd--)<=0 ){
+** ROWS BETWEEN <expr> PRECEDING    AND CURRENT ROW
+** ROWS BETWEEN CURRENT ROW         AND <expr> FOLLOWING
+** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> FOLLOWING
+**
+**   These are similar to the above. For "CURRENT ROW", intialize the
+**   register to 0. For "UNBOUNDED PRECEDING" to infinity.
+**
+** ROWS BETWEEN <expr> PRECEDING    AND UNBOUNDED FOLLOWING
+** ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING
+**
+**     Rewind (csr,csrStart,csrEnd)    // if EOF goto flush_partition_done
+**     while( 1 ){
+**       Next(csrEnd)                  // Exit while(1) at EOF
+**       Aggstep (csrEnd)
+**     }
+**     while( 1 ){
 **       AggFinal (xValue)
 **       Gosub addrGosub
-**       Next(csr)                // if EOF goto flush_partition_done
+**       Next(csr)                     // if EOF goto flush_partition_done
 **       if( (regStart--)<=0 ){
 **         AggStep (csrStart, xInverse)
 **         Next(csrStart)
 **       }
 **     }
-** flush_partition_done:
-**   ResetSorter (csr)
-**   Return
 **
-** ROWS BETWEEN <expr> PRECEDING    AND CURRENT ROW
-** ROWS BETWEEN CURRENT ROW         AND <expr> FOLLOWING
-** ROWS BETWEEN <expr> PRECEDING    AND UNBOUNDED FOLLOWING
-** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> FOLLOWING
+**   For the "CURRENT ROW AND UNBOUNDED FOLLOWING" case, the final if() 
+**   condition is always true (as if regStart were initialized to 0).
 **
-**   These are similar to the above. For "CURRENT ROW", intialize the
-**   register to 0. For "UNBOUNDED ..." to infinity.
+** RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+** 
+**   This is the only RANGE case handled by this routine. It modifies the
+**   second while( 1 ) loop in "ROWS BETWEEN CURRENT ... UNBOUNDED..." to
+**   be:
+**
+**     while( 1 ){
+**       AggFinal (xValue)
+**       while( 1 ){
+**         regPeer++
+**         Gosub addrGosub
+**         Next(csr)                     // if EOF goto flush_partition_done
+**         if( new peer ) break;
+**       }
+**       while( (regPeer--)>0 ){
+**         AggStep (csrStart, xInverse)
+**         Next(csrStart)
+**       }
+**     }
 **
 ** ROWS BETWEEN <expr> FOLLOWING    AND <expr> FOLLOWING
 **
@@ -220,6 +268,11 @@ static void windowCodeRowExprStep(
   int addrIfPos1;
   int addrIfPos2;
 
+  int regPeer = 0;                 /* Number of peers in current group */
+  int regPeerVal = 0;              /* Array of values identifying peer group */
+  int iPeer = 0;                   /* Column offset in eph-table of peer vals */
+  int nPeerVal;                    /* Number of peer values */
+
   assert( pMWin->eStart==TK_PRECEDING 
        || pMWin->eStart==TK_CURRENT 
        || pMWin->eStart==TK_FOLLOWING 
@@ -334,6 +387,18 @@ static void windowCodeRowExprStep(
   if( pMWin->eStart==TK_FOLLOWING ){
     addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
   }
+  if( pMWin->eType==TK_RANGE ){
+    assert( pMWin->eStart==TK_CURRENT && pMWin->pOrderBy );
+    regPeer = ++pParse->nMem;
+    regPeerVal = pParse->nMem+1;
+    iPeer = pMWin->nBufferCol + (pMWin->pPartition?pMWin->pPartition->nExpr:0);
+    nPeerVal = pMWin->pOrderBy->nExpr;
+    pParse->nMem += (2 * nPeerVal);
+    for(k=0; k<nPeerVal; k++){
+      sqlite3VdbeAddOp3(v, OP_Column, pMWin->iEphCsr, iPeer+k, regPeerVal+k);
+    }
+    sqlite3VdbeAddOp2(v, OP_Integer, 0, regPeer);
+  }
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
     sqlite3VdbeAddOp3(v, 
@@ -341,9 +406,24 @@ static void windowCodeRowExprStep(
     );
     sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
   }
+  if( pMWin->eType==TK_RANGE ){
+    sqlite3VdbeAddOp2(v, OP_AddImm, regPeer, 1);
+  }
   sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)+2);
   sqlite3VdbeAddOp2(v, OP_Goto, 0, lblFlushDone);
+  if( pMWin->eType==TK_RANGE ){
+    KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pMWin->pOrderBy,0,0);
+    int addrJump = sqlite3VdbeCurrentAddr(v)-4;
+    for(k=0; k<nPeerVal; k++){
+      int iOut = regPeerVal + nPeerVal + k;
+      sqlite3VdbeAddOp3(v, OP_Column, pMWin->iEphCsr, iPeer+k, iOut);
+    }
+    sqlite3VdbeAddOp3(v, OP_Compare, regPeerVal, regPeerVal+nPeerVal, nPeerVal);
+    sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+    addr = sqlite3VdbeCurrentAddr(v)+1;
+    sqlite3VdbeAddOp3(v, OP_Jump, addr, addrJump, addr);
+  }
   if( pMWin->eStart==TK_FOLLOWING ){
     sqlite3VdbeJumpHere(v, addrIfPos2);
   }
@@ -352,13 +432,21 @@ static void windowCodeRowExprStep(
    || pMWin->eStart==TK_PRECEDING 
    || pMWin->eStart==TK_FOLLOWING 
   ){
+    int addrJumpHere = 0;
     if( pMWin->eStart==TK_PRECEDING ){
-      addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
+      addrJumpHere = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
+    }
+    if( pMWin->eType==TK_RANGE ){
+      sqlite3VdbeAddOp3(v, OP_IfPos, regPeer, sqlite3VdbeCurrentAddr(v)+2, 1);
+      addrJumpHere = sqlite3VdbeAddOp0(v, OP_Goto);
     }
     sqlite3VdbeAddOp2(v, OP_Next, csrStart, sqlite3VdbeCurrentAddr(v)+1);
     windowAggStep(pParse, pMWin, csrStart, 1, reg);
-    if( pMWin->eStart==TK_PRECEDING ){
-      sqlite3VdbeJumpHere(v, addrIfPos2);
+    if( pMWin->eType==TK_RANGE ){
+      sqlite3VdbeAddOp2(v, OP_Goto, 0, addrJumpHere-1);
+    }
+    if( addrJumpHere ){
+      sqlite3VdbeJumpHere(v, addrJumpHere);
     }
   }
   if( pMWin->eEnd==TK_FOLLOWING ){
@@ -554,52 +642,6 @@ static void windowCodeDefaultStep(
 **     Gosub addrGosub
 **   sqlite3WhereEnd()
 **
-** ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
-** ROWS BETWEEN CURRENT ROW AND CURRENT ROW
-** ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
-**
-**========================================================================
-**
-** ROWS BETWEEN <expr> PRECEDING    AND <expr> PRECEDING
-**
-**   Replace the bit after "Rewind" in the above with:
-**
-**     if( (regEnd--)<=0 ){
-**       AggStep (csr3)
-**       Next (csr3)
-**     }
-**     AggFinal (xValue)
-**     Gosub addrGosub
-**     Next(csr)                  // if EOF goto flush_partition_done
-**     if( (regStart--)<=0 ){
-**       AggStep (csr2, xInverse)
-**       Next (csr2)
-**     }
-**
-** ROWS BETWEEN <expr> FOLLOWING    AND <expr> FOLLOWING
-**
-**   regEnd = regEnd - regStart
-**   Rewind (csr,csr2,csr3)       // if EOF goto flush_partition_done
-**     Aggstep (csr3)
-**     Next(csr3)                 // if EOF fall-through
-**     if( (regEnd--)<=0 ){
-**       AggStep (csr2, xInverse)
-**       Next (csr2)
-**       if( (regStart--)<=0 ){
-**         AggFinal (xValue)
-**         Gosub addrGosub
-**         Next(csr)              // if EOF goto flush_partition_done
-**       }
-**     }
-**
-** ROWS BETWEEN UNBOUNDED PRECEDING AND <expr> PRECEDING
-** ROWS BETWEEN <expr> FOLLOWING    AND UNBOUNDED FOLLOWING
-**
-**   Similar to the above, except with regStart or regEnd set to infinity,
-**   as appropriate.
-**
-**
-**
 */
 void sqlite3WindowCodeStep(
   Parse *pParse, 
@@ -611,8 +653,10 @@ void sqlite3WindowCodeStep(
 ){
   Window *pMWin = p->pWin;
 
-  if( pMWin->pStart || pMWin->pEnd ){
-    assert( pMWin->eType==TK_ROWS );
+  if( (pMWin->eType==TK_ROWS 
+   && (pMWin->eStart!=TK_UNBOUNDED || pMWin->eEnd!=TK_CURRENT))
+   || (pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_UNBOUNDED)
+  ){
     *pbLoop = 0;
     windowCodeRowExprStep(pParse, p, pWInfo, regGosub, addrGosub);
     return;
diff --git a/test/window2.tcl b/test/window2.tcl
index f1ab7a7ce9..8873093e02 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -288,6 +288,64 @@ execsql_test 2.22 {
   ) FROM t1
 }
 
+execsql_test 2.23 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.24 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY a%2
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.25 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.26 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 2.27 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t1
+}
+
+execsql_test 2.28 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t1
+}
+
+execsql_test 2.29 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+execsql_test 2.30 {
+  SELECT a, sum(d) OVER (
+    ORDER BY b 
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
 ==========
 puts $::fd finish_test
 ==========
diff --git a/test/window2.test b/test/window2.test
index f19b447600..67b6b5df74 100644
--- a/test/window2.test
+++ b/test/window2.test
@@ -199,6 +199,65 @@ do_execsql_test 2.22 {
   ) FROM t1
 } {2 10   4 6   6 {}   1 8   3 5   5 {}}
 
+do_execsql_test 2.23 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {1 21   2 20   3 18   4 15   5 11   6 6}
+
+do_execsql_test 2.24 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY a%2
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {2 12   4 10   6 6   1 9   3 8   5 5}
+
+do_execsql_test 2.25 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {1 21   2 21   3 21   4 21   5 21   6 21}
+
+do_execsql_test 2.26 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {2 12   4 12   6 12   1 9   3 9   5 9}
+
+do_execsql_test 2.27 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t1
+} {1 1   2 2   3 3   4 4   5 5   6 6}
+
+do_execsql_test 2.28 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b
+    ORDER BY d 
+    ROWS BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t1
+} {2 2   4 4   6 6   1 1   3 3   5 5}
+
+do_execsql_test 2.29 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d 
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {1 21   2 20   3 18   4 15   5 11   6 6}
+
+do_execsql_test 2.30 {
+  SELECT a, sum(d) OVER (
+    ORDER BY b 
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {2 21   4 21   6 21   1 9   3 9   5 9}
+
 #==========================================================================
 
 finish_test

From 79d4544d539ec9b977e493d0411ffe07f9dcf0af Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 26 May 2018 21:17:29 +0000
Subject: [PATCH 012/154] More fixes for different window frame types.

FossilOrigin-Name: 2c85668a0f86bcfd3de4c65847ac252e136ce97409a2249c5f4f58e3756e9a69
---
 manifest          |  16 +++----
 manifest.uuid     |   2 +-
 src/window.c      |  58 ++++++++++++++-----------
 test/window2.tcl  | 107 ++++++++++++++++++++++++++++++++++++----------
 test/window2.test |  90 +++++++++++++++++++++++++++++++++++++-
 5 files changed, 215 insertions(+), 58 deletions(-)

diff --git a/manifest b/manifest
index b223acdcab..61cd239695 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\s"RANGE\sBETWEEN\sCURRENT\sROW\sAND\sUNBOUNDED\sFOLLOWING"\swindow\sframe\nprocessing.
-D 2018-05-25T20:30:17.495
+C More\sfixes\sfor\sdifferent\swindow\sframe\stypes.
+D 2018-05-26T21:17:29.893
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 793ad5ffe29cf09f33db392f2e21f42de76f7292a1819e50b12740bff337b9d7
+F src/window.c e613228176b84fd4a387db01d2d85382e7bd26adc97c469ef4442219dce6f59a
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1615,8 +1615,8 @@ F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
-F test/window2.tcl 4d0fd12b30cb1cf3f0e125dc8ff7f88c048fdc6a9301df7542abea26627c1f9a
-F test/window2.test 47bb1eb149a605d2082794c7036bdd130a4e6c7ee59ded740748c79b37013aac
+F test/window2.tcl fab2f4f27d26228ccbc4d68f468f05879456e344980251fc6dc716f69b1346b9
+F test/window2.test 8fad10a74317e7dfba6e41a837ca987ab4686e84763c07d17c119dac39c76ff9
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1733,7 +1733,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 6232519899efc568465d8fcc9fcd79d46a2ce4ec05109d26d5eb1ebd239cd596
-R 89fd55d38159d271a1d4c5a8e0028929
+P b4e9c686697a5211a3bfa47e63f0684e3d4241d8c292cffe1a967bc39ad7cd8f
+R 341854783e18819703bbf013f333c88d
 U dan
-Z b9c949b19ea308875db3121f11330208
+Z da01c5822c42d130004dc2d45e5dd589
diff --git a/manifest.uuid b/manifest.uuid
index d6da466c99..c447a35ffe 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-b4e9c686697a5211a3bfa47e63f0684e3d4241d8c292cffe1a967bc39ad7cd8f
\ No newline at end of file
+2c85668a0f86bcfd3de4c65847ac252e136ce97409a2249c5f4f58e3756e9a69
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index ecbbb9c35f..6293f247ff 100644
--- a/src/window.c
+++ b/src/window.c
@@ -350,7 +350,6 @@ static void windowCodeRowExprStep(
   }
 
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
     sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
   }
 
@@ -463,6 +462,26 @@ static void windowCodeRowExprStep(
   sqlite3VdbeJumpHere(v, addrGoto);
 }
 
+/*
+** RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+**
+**   ...
+**     if( new partition ){
+**       AggFinal (xFinalize)
+**       Gosub addrGosub
+**       ResetSorter eph-table
+**     }
+**     else if( new peer ){
+**       AggFinal (xValue)
+**       Gosub addrGosub
+**       ResetSorter eph-table
+**     }
+**     AggStep
+**     Insert (record into eph-table)
+**   sqlite3WhereEnd()
+**   AggFinal (xFinalize)
+**   Gosub addrGosub
+*/
 static void windowCodeDefaultStep(
   Parse *pParse, 
   Select *p,
@@ -481,6 +500,10 @@ static void windowCodeDefaultStep(
   int regRowid = regRecord+1;
   int addr;
 
+  assert( pMWin->eType==TK_RANGE 
+      || (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_CURRENT)
+  );
+
   pParse->nMem += nSub + 2;
 
   /* Martial the row returned by the sub-select into an array of 
@@ -518,11 +541,15 @@ static void windowCodeDefaultStep(
       int regNewPeer = reg + pMWin->nBufferCol + nPart;
       int regPeer = pMWin->regPart + nPart;
 
-      KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pOrderBy, 0, 0);
       if( addrJump ) sqlite3VdbeJumpHere(v, addrJump);
-      addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
-      sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
-      addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+      if( pMWin->eType==TK_RANGE ){
+        KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pOrderBy, 0, 0);
+        addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
+        sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+        addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+      }else{
+        addrJump = 0;
+      }
       for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
         sqlite3VdbeAddOp3(v, 
             OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
@@ -538,7 +565,7 @@ static void windowCodeDefaultStep(
         v, OP_Copy, reg+pMWin->nBufferCol, pMWin->regPart, nPart+nPeer-1
     );
 
-    sqlite3VdbeJumpHere(v, addrJump);
+    if( addrJump ) sqlite3VdbeJumpHere(v, addrJump);
   }
 
   /* Invoke step function for window functions */
@@ -571,25 +598,6 @@ static void windowCodeDefaultStep(
 
 
 /*
-** RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
-**
-**   ...
-**     if( new partition ){
-**       AggFinal (xFinalize)
-**       Gosub addrGosub
-**       ResetSorter eph-table
-**     }
-**     else if( new peer ){
-**       AggFinal (xValue)
-**       Gosub addrGosub
-**       ResetSorter eph-table
-**     }
-**     AggStep
-**     Insert (record into eph-table)
-**   sqlite3WhereEnd()
-**   AggFinal (xFinalize)
-**   Gosub addrGosub
-**
 ** RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
 **
 **   As above, except take no action for a "new peer". Invoke
diff --git a/test/window2.tcl b/test/window2.tcl
index 8873093e02..d47be2d9f9 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -346,30 +346,93 @@ execsql_test 2.30 {
   ) FROM t1
 }
 
-==========
-puts $::fd finish_test
+execsql_test 3.1 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b ORDER BY d
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 3.2 {
+  SELECT a, sum(d) OVER (
+    ORDER BY b
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 3.3 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+}
+
+execsql_test 3.4 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d/2
+    ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t1
+}
+
+#puts $::fd finish_test
+
 ==========
 
-# execsql_test 3.1 {
-#   SELECT a, sum(d) OVER (
-#     PARTITION BY b ORDER BY d
-#     RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
-#   ) FROM t1
-# }
-# 
-# execsql_test 3.2 {
-#   SELECT a, sum(d) OVER (
-#     ORDER BY b
-#     RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
-#   ) FROM t1
-# }
-# 
-# execsql_test 3.3 {
-#   SELECT a, sum(d) OVER (
-#     ORDER BY d
-#     ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
-#   ) FROM t1
-# }
+execsql_test 4.0 {
+  DROP TABLE IF EXISTS t2;
+  CREATE TABLE t2(a INTEGER PRIMARY KEY, b INTEGER);
+  INSERT INTO t2(a, b) VALUES
+  (1,0), (2,74), (3,41), (4,74), (5,23), (6,99), (7,26), (8,33), (9,2),
+  (10,89), (11,81), (12,96), (13,59), (14,38), (15,68), (16,39), (17,62),
+  (18,91), (19,46), (20,6), (21,99), (22,97), (23,27), (24,46), (25,78),
+  (26,54), (27,97), (28,8), (29,67), (30,29), (31,93), (32,84), (33,77),
+  (34,23), (35,16), (36,16), (37,93), (38,65), (39,35), (40,47), (41,7),
+  (42,86), (43,74), (44,61), (45,91), (46,85), (47,24), (48,85), (49,43),
+  (50,59), (51,12), (52,32), (53,56), (54,3), (55,91), (56,22), (57,90),
+  (58,55), (59,15), (60,28), (61,89), (62,25), (63,47), (64,1), (65,56),
+  (66,40), (67,43), (68,56), (69,16), (70,75), (71,36), (72,89), (73,98),
+  (74,76), (75,81), (76,4), (77,94), (78,42), (79,30), (80,78), (81,33),
+  (82,29), (83,53), (84,63), (85,2), (86,87), (87,37), (88,80), (89,84),
+  (90,72), (91,41), (92,9), (93,61), (94,73), (95,95), (96,65), (97,13),
+  (98,58), (99,96), (100,98), (101,1), (102,21), (103,74), (104,65), (105,35),
+  (106,5), (107,73), (108,11), (109,51), (110,87), (111,41), (112,12), (113,8),
+  (114,20), (115,31), (116,31), (117,15), (118,95), (119,22), (120,73), 
+  (121,79), (122,88), (123,34), (124,8), (125,11), (126,49), (127,34), 
+  (128,90), (129,59), (130,96), (131,60), (132,55), (133,75), (134,77),
+  (135,44), (136,2), (137,7), (138,85), (139,57), (140,74), (141,29), (142,70),
+  (143,59), (144,19), (145,39), (146,26), (147,26), (148,47), (149,80),
+  (150,90), (151,36), (152,58), (153,47), (154,9), (155,72), (156,72), (157,66),
+  (158,33), (159,93), (160,75), (161,64), (162,81), (163,9), (164,23), (165,37),
+  (166,13), (167,12), (168,14), (169,62), (170,91), (171,36), (172,91),
+  (173,33), (174,15), (175,34), (176,36), (177,99), (178,3), (179,95), (180,69),
+  (181,58), (182,52), (183,30), (184,50), (185,84), (186,10), (187,84),
+  (188,33), (189,21), (190,39), (191,44), (192,58), (193,30), (194,38),
+  (195,34), (196,83), (197,27), (198,82), (199,17), (200,7);
+}
+
+execsql_test 4.1 {
+  SELECT a, sum(b) OVER (
+    PARTITION BY (b%10)
+    ORDER BY b
+  ) FROM t2 ORDER BY a;
+}
+
+execsql_test 4.2 {
+  SELECT a, sum(b) OVER (
+    PARTITION BY (b%10)
+    ORDER BY b
+    RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t2 ORDER BY a;
+}
+
+execsql_test 4.3 {
+  SELECT b, sum(b) OVER (
+    ORDER BY b
+    ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t2 ORDER BY b;
+}
+
+
 
 finish_test
 
diff --git a/test/window2.test b/test/window2.test
index 67b6b5df74..71bb39cfc5 100644
--- a/test/window2.test
+++ b/test/window2.test
@@ -258,9 +258,95 @@ do_execsql_test 2.30 {
   ) FROM t1
 } {2 21   4 21   6 21   1 9   3 9   5 9}
 
+do_execsql_test 3.1 {
+  SELECT a, sum(d) OVER (
+    PARTITION BY b ORDER BY d
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {2 12   4 10   6 6   1 9   3 8   5 5}
+
+do_execsql_test 3.2 {
+  SELECT a, sum(d) OVER (
+    ORDER BY b
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {2 21   4 21   6 21   1 9   3 9   5 9}
+
+do_execsql_test 3.3 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t1
+} {1 21   2 21   3 21   4 21   5 21   6 21}
+
+do_execsql_test 3.4 {
+  SELECT a, sum(d) OVER (
+    ORDER BY d/2
+    ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t1
+} {1 1   2 3   3 6   4 10   5 15   6 21}
+
 #==========================================================================
 
-finish_test
-#==========================================================================
+do_execsql_test 4.0 {
+  DROP TABLE IF EXISTS t2;
+  CREATE TABLE t2(a INTEGER PRIMARY KEY, b INTEGER);
+  INSERT INTO t2(a, b) VALUES
+  (1,0), (2,74), (3,41), (4,74), (5,23), (6,99), (7,26), (8,33), (9,2),
+  (10,89), (11,81), (12,96), (13,59), (14,38), (15,68), (16,39), (17,62),
+  (18,91), (19,46), (20,6), (21,99), (22,97), (23,27), (24,46), (25,78),
+  (26,54), (27,97), (28,8), (29,67), (30,29), (31,93), (32,84), (33,77),
+  (34,23), (35,16), (36,16), (37,93), (38,65), (39,35), (40,47), (41,7),
+  (42,86), (43,74), (44,61), (45,91), (46,85), (47,24), (48,85), (49,43),
+  (50,59), (51,12), (52,32), (53,56), (54,3), (55,91), (56,22), (57,90),
+  (58,55), (59,15), (60,28), (61,89), (62,25), (63,47), (64,1), (65,56),
+  (66,40), (67,43), (68,56), (69,16), (70,75), (71,36), (72,89), (73,98),
+  (74,76), (75,81), (76,4), (77,94), (78,42), (79,30), (80,78), (81,33),
+  (82,29), (83,53), (84,63), (85,2), (86,87), (87,37), (88,80), (89,84),
+  (90,72), (91,41), (92,9), (93,61), (94,73), (95,95), (96,65), (97,13),
+  (98,58), (99,96), (100,98), (101,1), (102,21), (103,74), (104,65), (105,35),
+  (106,5), (107,73), (108,11), (109,51), (110,87), (111,41), (112,12), (113,8),
+  (114,20), (115,31), (116,31), (117,15), (118,95), (119,22), (120,73), 
+  (121,79), (122,88), (123,34), (124,8), (125,11), (126,49), (127,34), 
+  (128,90), (129,59), (130,96), (131,60), (132,55), (133,75), (134,77),
+  (135,44), (136,2), (137,7), (138,85), (139,57), (140,74), (141,29), (142,70),
+  (143,59), (144,19), (145,39), (146,26), (147,26), (148,47), (149,80),
+  (150,90), (151,36), (152,58), (153,47), (154,9), (155,72), (156,72), (157,66),
+  (158,33), (159,93), (160,75), (161,64), (162,81), (163,9), (164,23), (165,37),
+  (166,13), (167,12), (168,14), (169,62), (170,91), (171,36), (172,91),
+  (173,33), (174,15), (175,34), (176,36), (177,99), (178,3), (179,95), (180,69),
+  (181,58), (182,52), (183,30), (184,50), (185,84), (186,10), (187,84),
+  (188,33), (189,21), (190,39), (191,44), (192,58), (193,30), (194,38),
+  (195,34), (196,83), (197,27), (198,82), (199,17), (200,7);
+} {}
+
+do_execsql_test 4.1 {
+  SELECT a, sum(b) OVER (
+    PARTITION BY (b%10)
+    ORDER BY b
+  ) FROM t2 ORDER BY a;
+} {1 0   2 754   3 251   4 754   5 101   6 1247   7 132   8 266   9 6   10 950   11 667   12 1052   13 535   14 128   15 428   16 250   17 336   18 1122   19 368   20 6   21 1247   22 1000   23 92   24 368   25 584   26 320   27 1000   28 24   29 478   30 133   31 1049   32 1090   33 632   34 101   35 54   36 54   37 1049   38 450   39 145   40 354   41 21   42 764   43 754   44 424   45 1122   46 930   47 42   48 930   49 352   50 535   51 42   52 118   53 536   54 6   55 1122   56 86   57 770   58 255   59 50   60 52   61 950   62 75   63 354   64 2   65 536   66 160   67 352   68 536   69 54   70 675   71 276   72 950   73 868   74 678   75 667   76 4   77 1184   78 160   79 120   80 584   81 266   82 133   83 405   84 468   85 6   86 806   87 166   88 500   89 1090   90 552   91 251   92 27   93 424   94 687   95 1215   96 450   97 32   98 360   99 1052   100 868   101 2   102 66   103 754   104 450   105 145   106 5   107 687   108 24   109 302   110 806   111 251   112 42   113 24   114 30   115 128   116 128   117 50   118 1215   119 86   120 687   121 683   122 672   123 178   124 24   125 24   126 299   127 178   128 770   129 535   130 1052   131 270   132 255   133 675   134 632   135 266   136 6   137 21   138 930   139 411   140 754   141 133   142 340   143 535   144 46   145 250   146 132   147 132   148 354   149 500   150 770   151 276   152 360   153 354   154 27   155 552   156 552   157 602   158 266   159 1049   160 675   161 384   162 667   163 27   164 101   165 166   166 32   167 42   168 18   169 336   170 1122   171 276   172 1122   173 266   174 50   175 178   176 276   177 1247   178 6   179 1215   180 604   181 360   182 212   183 120   184 210   185 1090   186 10   187 1090   188 266   189 66   190 250   191 266   192 360   193 120   194 128   195 178   196 770   197 92   198 634   199 38   200 21}
+
+do_execsql_test 4.2 {
+  SELECT a, sum(b) OVER (
+    PARTITION BY (b%10)
+    ORDER BY b
+    RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t2 ORDER BY a;
+} {1 0   2 754   3 251   4 754   5 101   6 1247   7 132   8 266   9 6   10 950   11 667   12 1052   13 535   14 128   15 428   16 250   17 336   18 1122   19 368   20 6   21 1247   22 1000   23 92   24 368   25 584   26 320   27 1000   28 24   29 478   30 133   31 1049   32 1090   33 632   34 101   35 54   36 54   37 1049   38 450   39 145   40 354   41 21   42 764   43 754   44 424   45 1122   46 930   47 42   48 930   49 352   50 535   51 42   52 118   53 536   54 6   55 1122   56 86   57 770   58 255   59 50   60 52   61 950   62 75   63 354   64 2   65 536   66 160   67 352   68 536   69 54   70 675   71 276   72 950   73 868   74 678   75 667   76 4   77 1184   78 160   79 120   80 584   81 266   82 133   83 405   84 468   85 6   86 806   87 166   88 500   89 1090   90 552   91 251   92 27   93 424   94 687   95 1215   96 450   97 32   98 360   99 1052   100 868   101 2   102 66   103 754   104 450   105 145   106 5   107 687   108 24   109 302   110 806   111 251   112 42   113 24   114 30   115 128   116 128   117 50   118 1215   119 86   120 687   121 683   122 672   123 178   124 24   125 24   126 299   127 178   128 770   129 535   130 1052   131 270   132 255   133 675   134 632   135 266   136 6   137 21   138 930   139 411   140 754   141 133   142 340   143 535   144 46   145 250   146 132   147 132   148 354   149 500   150 770   151 276   152 360   153 354   154 27   155 552   156 552   157 602   158 266   159 1049   160 675   161 384   162 667   163 27   164 101   165 166   166 32   167 42   168 18   169 336   170 1122   171 276   172 1122   173 266   174 50   175 178   176 276   177 1247   178 6   179 1215   180 604   181 360   182 212   183 120   184 210   185 1090   186 10   187 1090   188 266   189 66   190 250   191 266   192 360   193 120   194 128   195 178   196 770   197 92   198 634   199 38   200 21}
+
+do_execsql_test 4.3 {
+  SELECT b, sum(b) OVER (
+    ORDER BY b
+    ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t2 ORDER BY b;
+} {0 0   1 1   1 2   2 4   2 6   2 8   3 11   3 14   4 18   5 23   6 29   7 36   7 43   7 50   8 58   8 66   8 74   9 83   9 92   9 101   10 111   11 122   11 133   12 145   12 157   12 169   13 182   13 195   14 209   15 224   15 239   15 254   16 270   16 286   16 302   17 319   19 338   20 358   21 379   21 400   22 422   22 444   23 467   23 490   23 513   24 537   25 562   26 588   26 614   26 640   27 667   27 694   28 722   29 751   29 780   29 809   30 839   30 869   30 899   31 930   31 961   32 993   33 1026   33 1059   33 1092   33 1125   33 1158   34 1192   34 1226   34 1260   34 1294   35 1329   35 1364   36 1400   36 1436   36 1472   36 1508   37 1545   37 1582   38 1620   38 1658   39 1697   39 1736   39 1775   40 1815   41 1856   41 1897   41 1938   42 1980   43 2023   43 2066   44 2110   44 2154   46 2200   46 2246   47 2293   47 2340   47 2387   47 2434   49 2483   50 2533   51 2584   52 2636   53 2689   54 2743   55 2798   55 2853   56 2909   56 2965   56 3021   57 3078   58 3136   58 3194   58 3252   58 3310   59 3369   59 3428   59 3487   59 3546   60 3606   61 3667   61 3728   62 3790   62 3852   63 3915   64 3979   65 4044   65 4109   65 4174   66 4240   67 4307   68 4375   69 4444   70 4514   72 4586   72 4658   72 4730   73 4803   73 4876   73 4949   74 5023   74 5097   74 5171   74 5245   74 5319   75 5394   75 5469   75 5544   76 5620   77 5697   77 5774   78 5852   78 5930   79 6009   80 6089   80 6169   81 6250   81 6331   81 6412   82 6494   83 6577   84 6661   84 6745   84 6829   84 6913   85 6998   85 7083   85 7168   86 7254   87 7341   87 7428   88 7516   89 7605   89 7694   89 7783   90 7873   90 7963   90 8053   91 8144   91 8235   91 8326   91 8417   91 8508   93 8601   93 8694   93 8787   94 8881   95 8976   95 9071   95 9166   96 9262   96 9358   96 9454   97 9551   97 9648   98 9746   98 9844   99 9943   99 10042   99 10141}
+
+do_execsql_test 4.4 {
+  SELECT b, sum(b) OVER (
+    ORDER BY b
+    ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t2 ORDER BY b;
+} {0 0   1 1   1 2   2 4   2 6   2 8   3 11   3 14   4 18   5 23   6 29   7 36   7 43   7 50   8 58   8 66   8 74   9 83   9 92   9 101   10 111   11 122   11 133   12 145   12 157   12 169   13 182   13 195   14 209   15 224   15 239   15 254   16 270   16 286   16 302   17 319   19 338   20 358   21 379   21 400   22 422   22 444   23 467   23 490   23 513   24 537   25 562   26 588   26 614   26 640   27 667   27 694   28 722   29 751   29 780   29 809   30 839   30 869   30 899   31 930   31 961   32 993   33 1026   33 1059   33 1092   33 1125   33 1158   34 1192   34 1226   34 1260   34 1294   35 1329   35 1364   36 1400   36 1436   36 1472   36 1508   37 1545   37 1582   38 1620   38 1658   39 1697   39 1736   39 1775   40 1815   41 1856   41 1897   41 1938   42 1980   43 2023   43 2066   44 2110   44 2154   46 2200   46 2246   47 2293   47 2340   47 2387   47 2434   49 2483   50 2533   51 2584   52 2636   53 2689   54 2743   55 2798   55 2853   56 2909   56 2965   56 3021   57 3078   58 3136   58 3194   58 3252   58 3310   59 3369   59 3428   59 3487   59 3546   60 3606   61 3667   61 3728   62 3790   62 3852   63 3915   64 3979   65 4044   65 4109   65 4174   66 4240   67 4307   68 4375   69 4444   70 4514   72 4586   72 4658   72 4730   73 4803   73 4876   73 4949   74 5023   74 5097   74 5171   74 5245   74 5319   75 5394   75 5469   75 5544   76 5620   77 5697   77 5774   78 5852   78 5930   79 6009   80 6089   80 6169   81 6250   81 6331   81 6412   82 6494   83 6577   84 6661   84 6745   84 6829   84 6913   85 6998   85 7083   85 7168   86 7254   87 7341   87 7428   88 7516   89 7605   89 7694   89 7783   90 7873   90 7963   90 8053   91 8144   91 8235   91 8326   91 8417   91 8508   93 8601   93 8694   93 8787   94 8881   95 8976   95 9071   95 9166   96 9262   96 9358   96 9454   97 9551   97 9648   98 9746   98 9844   99 9943   99 10042   99 10141}
 
 finish_test

From d6f784ef92b69b245a797b4b31798027b01e9520 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 28 May 2018 18:30:45 +0000
Subject: [PATCH 013/154] Further window frame tests and fixes.

FossilOrigin-Name: e74c6e91859ec395c12ba2742542ff176a1d8364dcfb66b862240746bef54efc
---
 manifest          | 16 ++++-----
 manifest.uuid     |  2 +-
 src/window.c      | 86 ++++++++++++++++++++++++++++-------------------
 test/window2.tcl  | 79 +++++++++++++++++++++++++++++++++++++++++++
 test/window2.test | 85 ++++++++++++++++++++++++++++++++++++++++++++--
 5 files changed, 223 insertions(+), 45 deletions(-)

diff --git a/manifest b/manifest
index 61cd239695..14dd188f0e 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C More\sfixes\sfor\sdifferent\swindow\sframe\stypes.
-D 2018-05-26T21:17:29.893
+C Further\swindow\sframe\stests\sand\sfixes.
+D 2018-05-28T18:30:45.964
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c e613228176b84fd4a387db01d2d85382e7bd26adc97c469ef4442219dce6f59a
+F src/window.c 9877f4e19ad625d398c4360d5dfa9472949d9c5099f484f49c001c27265a505e
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1615,8 +1615,8 @@ F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
-F test/window2.tcl fab2f4f27d26228ccbc4d68f468f05879456e344980251fc6dc716f69b1346b9
-F test/window2.test 8fad10a74317e7dfba6e41a837ca987ab4686e84763c07d17c119dac39c76ff9
+F test/window2.tcl 4e051199689587ab94c81c8436c29dee07052fee985fc08fe4fd497a1b508646
+F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1733,7 +1733,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P b4e9c686697a5211a3bfa47e63f0684e3d4241d8c292cffe1a967bc39ad7cd8f
-R 341854783e18819703bbf013f333c88d
+P 2c85668a0f86bcfd3de4c65847ac252e136ce97409a2249c5f4f58e3756e9a69
+R 1cf842b75d4a9687b8ca113a1c8bbd46
 U dan
-Z da01c5822c42d130004dc2d45e5dd589
+Z daba16705cc0091be82f10a481eb85e0
diff --git a/manifest.uuid b/manifest.uuid
index c447a35ffe..e93f92540d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-2c85668a0f86bcfd3de4c65847ac252e136ce97409a2249c5f4f58e3756e9a69
\ No newline at end of file
+e74c6e91859ec395c12ba2742542ff176a1d8364dcfb66b862240746bef54efc
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 6293f247ff..ad9b54c131 100644
--- a/src/window.c
+++ b/src/window.c
@@ -113,6 +113,25 @@ static void windowAggStep(
   }
 }
 
+static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  Window *pWin;
+
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    if( bFinal==0 ){
+      sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
+    }
+    sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+    if( bFinal ){
+      sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+    }else{
+      sqlite3VdbeChangeP3(v, -1, pWin->regResult);
+    }
+  }
+}
+
+
 /*
 ** ROWS BETWEEN <expr1> PRECEDING AND <expr2> FOLLOWING
 ** ----------------------------------------------------
@@ -272,6 +291,7 @@ static void windowCodeRowExprStep(
   int regPeerVal = 0;              /* Array of values identifying peer group */
   int iPeer = 0;                   /* Column offset in eph-table of peer vals */
   int nPeerVal;                    /* Number of peer values */
+  int bRange = 0;
 
   assert( pMWin->eStart==TK_PRECEDING 
        || pMWin->eStart==TK_CURRENT 
@@ -284,6 +304,13 @@ static void windowCodeRowExprStep(
        || pMWin->eEnd==TK_PRECEDING 
   );
 
+  if( pMWin->eType==TK_RANGE 
+   && pMWin->eStart==TK_CURRENT 
+   && pMWin->eEnd==TK_UNBOUNDED
+  ){
+    bRange = 1;
+  }
+
   pParse->nMem += nSub + 2;
 
   /* Allocate register and label for the "flush_partition" sub-routine. */
@@ -386,7 +413,7 @@ static void windowCodeRowExprStep(
   if( pMWin->eStart==TK_FOLLOWING ){
     addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
   }
-  if( pMWin->eType==TK_RANGE ){
+  if( bRange ){
     assert( pMWin->eStart==TK_CURRENT && pMWin->pOrderBy );
     regPeer = ++pParse->nMem;
     regPeerVal = pParse->nMem+1;
@@ -398,20 +425,14 @@ static void windowCodeRowExprStep(
     }
     sqlite3VdbeAddOp2(v, OP_Integer, 0, regPeer);
   }
-  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
-    sqlite3VdbeAddOp3(v, 
-        OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
-    );
-    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-  }
-  if( pMWin->eType==TK_RANGE ){
+  windowAggFinal(pParse, pMWin, 0);
+  if( bRange ){
     sqlite3VdbeAddOp2(v, OP_AddImm, regPeer, 1);
   }
   sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)+2);
   sqlite3VdbeAddOp2(v, OP_Goto, 0, lblFlushDone);
-  if( pMWin->eType==TK_RANGE ){
+  if( bRange ){
     KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pMWin->pOrderBy,0,0);
     int addrJump = sqlite3VdbeCurrentAddr(v)-4;
     for(k=0; k<nPeerVal; k++){
@@ -435,13 +456,13 @@ static void windowCodeRowExprStep(
     if( pMWin->eStart==TK_PRECEDING ){
       addrJumpHere = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
     }
-    if( pMWin->eType==TK_RANGE ){
+    if( bRange ){
       sqlite3VdbeAddOp3(v, OP_IfPos, regPeer, sqlite3VdbeCurrentAddr(v)+2, 1);
       addrJumpHere = sqlite3VdbeAddOp0(v, OP_Goto);
     }
     sqlite3VdbeAddOp2(v, OP_Next, csrStart, sqlite3VdbeCurrentAddr(v)+1);
     windowAggStep(pParse, pMWin, csrStart, 1, reg);
-    if( pMWin->eType==TK_RANGE ){
+    if( bRange ){
       sqlite3VdbeAddOp2(v, OP_Goto, 0, addrJumpHere-1);
     }
     if( addrJumpHere ){
@@ -499,11 +520,23 @@ static void windowCodeDefaultStep(
   int regRecord = reg+nSub;
   int regRowid = regRecord+1;
   int addr;
+  ExprList *pPart = pMWin->pPartition;
+  ExprList *pOrderBy = pMWin->pOrderBy;
 
   assert( pMWin->eType==TK_RANGE 
       || (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_CURRENT)
   );
 
+  assert( (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_CURRENT)
+       || (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_UNBOUNDED)
+       || (pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_CURRENT)
+       || (pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_UNBOUNDED && !pOrderBy)
+  );
+
+  if( pMWin->eEnd==TK_UNBOUNDED ){
+    pOrderBy = 0;
+  }
+
   pParse->nMem += nSub + 2;
 
   /* Martial the row returned by the sub-select into an array of 
@@ -513,13 +546,11 @@ static void windowCodeDefaultStep(
   }
 
   /* Check if this is the start of a new partition or peer group. */
-  if( pMWin->regPart ){
-    ExprList *pPart = pMWin->pPartition;
+  if( pPart || pOrderBy ){
     int nPart = (pPart ? pPart->nExpr : 0);
-    ExprList *pOrderBy = pMWin->pOrderBy;
-    int nPeer = (pOrderBy ? pOrderBy->nExpr : 0);
     int addrGoto = 0;
     int addrJump = 0;
+    int nPeer = (pOrderBy ? pOrderBy->nExpr : 0);
 
     if( pPart ){
       int regNewPart = reg + pMWin->nBufferCol;
@@ -527,11 +558,7 @@ static void windowCodeDefaultStep(
       addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
       sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
       addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
-      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-        sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
-        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-        sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
-      }
+      windowAggFinal(pParse, pMWin, 1);
       if( pOrderBy ){
         addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
       }
@@ -550,12 +577,7 @@ static void windowCodeDefaultStep(
       }else{
         addrJump = 0;
       }
-      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-        sqlite3VdbeAddOp3(v, 
-            OP_AggFinal, pWin->regAccum, pWin->nArg, pWin->regResult
-        );
-        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-      }
+      windowAggFinal(pParse, pMWin, pMWin->eStart==TK_CURRENT);
       if( addrGoto ) sqlite3VdbeJumpHere(v, addrGoto);
     }
 
@@ -588,11 +610,7 @@ static void windowCodeDefaultStep(
   /* End the database scan loop. */
   sqlite3WhereEnd(pWInfo);
 
-  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
-    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-    sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
-  }
+  windowAggFinal(pParse, pMWin, 1);
   sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
 }
 
@@ -662,8 +680,8 @@ void sqlite3WindowCodeStep(
   Window *pMWin = p->pWin;
 
   if( (pMWin->eType==TK_ROWS 
-   && (pMWin->eStart!=TK_UNBOUNDED || pMWin->eEnd!=TK_CURRENT))
-   || (pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_UNBOUNDED)
+   && (pMWin->eStart!=TK_UNBOUNDED||pMWin->eEnd!=TK_CURRENT||!pMWin->pOrderBy))
+   || (pMWin->eStart==TK_CURRENT&&pMWin->eEnd==TK_UNBOUNDED&&pMWin->pOrderBy)
   ){
     *pbLoop = 0;
     windowCodeRowExprStep(pParse, p, pWInfo, regGosub, addrGosub);
diff --git a/test/window2.tcl b/test/window2.tcl
index d47be2d9f9..b7d2b0aef5 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -432,6 +432,85 @@ execsql_test 4.3 {
   ) FROM t2 ORDER BY b;
 }
 
+execsql_test 4.4 {
+  SELECT b, sum(b) OVER (
+    ORDER BY b
+    RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY b;
+}
+
+execsql_test 4.5 {
+  SELECT b, sum(b) OVER (
+    ORDER BY b
+    RANGE BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t2 ORDER BY b;
+}
+
+execsql_test 4.6.1 {
+  SELECT b, sum(b) OVER (
+    RANGE BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t2 ORDER BY b;
+}
+execsql_test 4.6.2 {
+  SELECT b, sum(b) OVER () FROM t2 ORDER BY b;
+}
+execsql_test 4.6.3 {
+  SELECT b, sum(b) OVER (
+    RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY b;
+}
+execsql_test 4.6.4 {
+  SELECT b, sum(b) OVER (
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY b;
+}
+
+execsql_test 4.7.1 {
+  SELECT b, sum(b) OVER (
+    ROWS BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t2 ORDER BY 1, 2;
+}
+execsql_test 4.7.2 {
+  SELECT b, sum(b) OVER (
+    ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t2 ORDER BY 1, 2;
+}
+execsql_test 4.7.3 {
+  SELECT b, sum(b) OVER (
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY 1, 2;
+}
+execsql_test 4.7.4 {
+  SELECT b, sum(b) OVER (
+    ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY 1, 2;
+}
+
+execsql_test 4.8.1 {
+  SELECT b, sum(b) OVER (
+    ORDER BY a
+    ROWS BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t2 ORDER BY 1, 2;
+}
+execsql_test 4.8.2 {
+  SELECT b, sum(b) OVER (
+    ORDER BY a
+    ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t2 ORDER BY 1, 2;
+}
+execsql_test 4.8.3 {
+  SELECT b, sum(b) OVER (
+    ORDER BY a
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY 1, 2;
+}
+execsql_test 4.8.4 {
+  SELECT b, sum(b) OVER (
+    ORDER BY a
+    ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY 1, 2;
+}
+
 
 
 finish_test
diff --git a/test/window2.test b/test/window2.test
index 71bb39cfc5..e00421706c 100644
--- a/test/window2.test
+++ b/test/window2.test
@@ -345,8 +345,89 @@ do_execsql_test 4.3 {
 do_execsql_test 4.4 {
   SELECT b, sum(b) OVER (
     ORDER BY b
-    ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+    RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
   ) FROM t2 ORDER BY b;
-} {0 0   1 1   1 2   2 4   2 6   2 8   3 11   3 14   4 18   5 23   6 29   7 36   7 43   7 50   8 58   8 66   8 74   9 83   9 92   9 101   10 111   11 122   11 133   12 145   12 157   12 169   13 182   13 195   14 209   15 224   15 239   15 254   16 270   16 286   16 302   17 319   19 338   20 358   21 379   21 400   22 422   22 444   23 467   23 490   23 513   24 537   25 562   26 588   26 614   26 640   27 667   27 694   28 722   29 751   29 780   29 809   30 839   30 869   30 899   31 930   31 961   32 993   33 1026   33 1059   33 1092   33 1125   33 1158   34 1192   34 1226   34 1260   34 1294   35 1329   35 1364   36 1400   36 1436   36 1472   36 1508   37 1545   37 1582   38 1620   38 1658   39 1697   39 1736   39 1775   40 1815   41 1856   41 1897   41 1938   42 1980   43 2023   43 2066   44 2110   44 2154   46 2200   46 2246   47 2293   47 2340   47 2387   47 2434   49 2483   50 2533   51 2584   52 2636   53 2689   54 2743   55 2798   55 2853   56 2909   56 2965   56 3021   57 3078   58 3136   58 3194   58 3252   58 3310   59 3369   59 3428   59 3487   59 3546   60 3606   61 3667   61 3728   62 3790   62 3852   63 3915   64 3979   65 4044   65 4109   65 4174   66 4240   67 4307   68 4375   69 4444   70 4514   72 4586   72 4658   72 4730   73 4803   73 4876   73 4949   74 5023   74 5097   74 5171   74 5245   74 5319   75 5394   75 5469   75 5544   76 5620   77 5697   77 5774   78 5852   78 5930   79 6009   80 6089   80 6169   81 6250   81 6331   81 6412   82 6494   83 6577   84 6661   84 6745   84 6829   84 6913   85 6998   85 7083   85 7168   86 7254   87 7341   87 7428   88 7516   89 7605   89 7694   89 7783   90 7873   90 7963   90 8053   91 8144   91 8235   91 8326   91 8417   91 8508   93 8601   93 8694   93 8787   94 8881   95 8976   95 9071   95 9166   96 9262   96 9358   96 9454   97 9551   97 9648   98 9746   98 9844   99 9943   99 10042   99 10141}
+} {0 10141   1 10141   1 10141   2 10141   2 10141   2 10141   3 10141   3 10141   4 10141   5 10141   6 10141   7 10141   7 10141   7 10141   8 10141   8 10141   8 10141   9 10141   9 10141   9 10141   10 10141   11 10141   11 10141   12 10141   12 10141   12 10141   13 10141   13 10141   14 10141   15 10141   15 10141   15 10141   16 10141   16 10141   16 10141   17 10141   19 10141   20 10141   21 10141   21 10141   22 10141   22 10141   23 10141   23 10141   23 10141   24 10141   25 10141   26 10141   26 10141   26 10141   27 10141   27 10141   28 10141   29 10141   29 10141   29 10141   30 10141   30 10141   30 10141   31 10141   31 10141   32 10141   33 10141   33 10141   33 10141   33 10141   33 10141   34 10141   34 10141   34 10141   34 10141   35 10141   35 10141   36 10141   36 10141   36 10141   36 10141   37 10141   37 10141   38 10141   38 10141   39 10141   39 10141   39 10141   40 10141   41 10141   41 10141   41 10141   42 10141   43 10141   43 10141   44 10141   44 10141   46 10141   46 10141   47 10141   47 10141   47 10141   47 10141   49 10141   50 10141   51 10141   52 10141   53 10141   54 10141   55 10141   55 10141   56 10141   56 10141   56 10141   57 10141   58 10141   58 10141   58 10141   58 10141   59 10141   59 10141   59 10141   59 10141   60 10141   61 10141   61 10141   62 10141   62 10141   63 10141   64 10141   65 10141   65 10141   65 10141   66 10141   67 10141   68 10141   69 10141   70 10141   72 10141   72 10141   72 10141   73 10141   73 10141   73 10141   74 10141   74 10141   74 10141   74 10141   74 10141   75 10141   75 10141   75 10141   76 10141   77 10141   77 10141   78 10141   78 10141   79 10141   80 10141   80 10141   81 10141   81 10141   81 10141   82 10141   83 10141   84 10141   84 10141   84 10141   84 10141   85 10141   85 10141   85 10141   86 10141   87 10141   87 10141   88 10141   89 10141   89 10141   89 10141   90 10141   90 10141   90 10141   91 10141   91 10141   91 10141   91 10141   91 10141   93 10141   93 10141   93 10141   94 10141   95 10141   95 10141   95 10141   96 10141   96 10141   96 10141   97 10141   97 10141   98 10141   98 10141   99 10141   99 10141   99 10141}
+
+do_execsql_test 4.5 {
+  SELECT b, sum(b) OVER (
+    ORDER BY b
+    RANGE BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t2 ORDER BY b;
+} {0 0   1 2   1 2   2 6   2 6   2 6   3 6   3 6   4 4   5 5   6 6   7 21   7 21   7 21   8 24   8 24   8 24   9 27   9 27   9 27   10 10   11 22   11 22   12 36   12 36   12 36   13 26   13 26   14 14   15 45   15 45   15 45   16 48   16 48   16 48   17 17   19 19   20 20   21 42   21 42   22 44   22 44   23 69   23 69   23 69   24 24   25 25   26 78   26 78   26 78   27 54   27 54   28 28   29 87   29 87   29 87   30 90   30 90   30 90   31 62   31 62   32 32   33 165   33 165   33 165   33 165   33 165   34 136   34 136   34 136   34 136   35 70   35 70   36 144   36 144   36 144   36 144   37 74   37 74   38 76   38 76   39 117   39 117   39 117   40 40   41 123   41 123   41 123   42 42   43 86   43 86   44 88   44 88   46 92   46 92   47 188   47 188   47 188   47 188   49 49   50 50   51 51   52 52   53 53   54 54   55 110   55 110   56 168   56 168   56 168   57 57   58 232   58 232   58 232   58 232   59 236   59 236   59 236   59 236   60 60   61 122   61 122   62 124   62 124   63 63   64 64   65 195   65 195   65 195   66 66   67 67   68 68   69 69   70 70   72 216   72 216   72 216   73 219   73 219   73 219   74 370   74 370   74 370   74 370   74 370   75 225   75 225   75 225   76 76   77 154   77 154   78 156   78 156   79 79   80 160   80 160   81 243   81 243   81 243   82 82   83 83   84 336   84 336   84 336   84 336   85 255   85 255   85 255   86 86   87 174   87 174   88 88   89 267   89 267   89 267   90 270   90 270   90 270   91 455   91 455   91 455   91 455   91 455   93 279   93 279   93 279   94 94   95 285   95 285   95 285   96 288   96 288   96 288   97 194   97 194   98 196   98 196   99 297   99 297   99 297}
+
+do_execsql_test 4.6.1 {
+  SELECT b, sum(b) OVER (
+    RANGE BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t2 ORDER BY b;
+} {0 10141   1 10141   1 10141   2 10141   2 10141   2 10141   3 10141   3 10141   4 10141   5 10141   6 10141   7 10141   7 10141   7 10141   8 10141   8 10141   8 10141   9 10141   9 10141   9 10141   10 10141   11 10141   11 10141   12 10141   12 10141   12 10141   13 10141   13 10141   14 10141   15 10141   15 10141   15 10141   16 10141   16 10141   16 10141   17 10141   19 10141   20 10141   21 10141   21 10141   22 10141   22 10141   23 10141   23 10141   23 10141   24 10141   25 10141   26 10141   26 10141   26 10141   27 10141   27 10141   28 10141   29 10141   29 10141   29 10141   30 10141   30 10141   30 10141   31 10141   31 10141   32 10141   33 10141   33 10141   33 10141   33 10141   33 10141   34 10141   34 10141   34 10141   34 10141   35 10141   35 10141   36 10141   36 10141   36 10141   36 10141   37 10141   37 10141   38 10141   38 10141   39 10141   39 10141   39 10141   40 10141   41 10141   41 10141   41 10141   42 10141   43 10141   43 10141   44 10141   44 10141   46 10141   46 10141   47 10141   47 10141   47 10141   47 10141   49 10141   50 10141   51 10141   52 10141   53 10141   54 10141   55 10141   55 10141   56 10141   56 10141   56 10141   57 10141   58 10141   58 10141   58 10141   58 10141   59 10141   59 10141   59 10141   59 10141   60 10141   61 10141   61 10141   62 10141   62 10141   63 10141   64 10141   65 10141   65 10141   65 10141   66 10141   67 10141   68 10141   69 10141   70 10141   72 10141   72 10141   72 10141   73 10141   73 10141   73 10141   74 10141   74 10141   74 10141   74 10141   74 10141   75 10141   75 10141   75 10141   76 10141   77 10141   77 10141   78 10141   78 10141   79 10141   80 10141   80 10141   81 10141   81 10141   81 10141   82 10141   83 10141   84 10141   84 10141   84 10141   84 10141   85 10141   85 10141   85 10141   86 10141   87 10141   87 10141   88 10141   89 10141   89 10141   89 10141   90 10141   90 10141   90 10141   91 10141   91 10141   91 10141   91 10141   91 10141   93 10141   93 10141   93 10141   94 10141   95 10141   95 10141   95 10141   96 10141   96 10141   96 10141   97 10141   97 10141   98 10141   98 10141   99 10141   99 10141   99 10141}
+
+do_execsql_test 4.6.2 {
+  SELECT b, sum(b) OVER () FROM t2 ORDER BY b;
+} {0 10141   1 10141   1 10141   2 10141   2 10141   2 10141   3 10141   3 10141   4 10141   5 10141   6 10141   7 10141   7 10141   7 10141   8 10141   8 10141   8 10141   9 10141   9 10141   9 10141   10 10141   11 10141   11 10141   12 10141   12 10141   12 10141   13 10141   13 10141   14 10141   15 10141   15 10141   15 10141   16 10141   16 10141   16 10141   17 10141   19 10141   20 10141   21 10141   21 10141   22 10141   22 10141   23 10141   23 10141   23 10141   24 10141   25 10141   26 10141   26 10141   26 10141   27 10141   27 10141   28 10141   29 10141   29 10141   29 10141   30 10141   30 10141   30 10141   31 10141   31 10141   32 10141   33 10141   33 10141   33 10141   33 10141   33 10141   34 10141   34 10141   34 10141   34 10141   35 10141   35 10141   36 10141   36 10141   36 10141   36 10141   37 10141   37 10141   38 10141   38 10141   39 10141   39 10141   39 10141   40 10141   41 10141   41 10141   41 10141   42 10141   43 10141   43 10141   44 10141   44 10141   46 10141   46 10141   47 10141   47 10141   47 10141   47 10141   49 10141   50 10141   51 10141   52 10141   53 10141   54 10141   55 10141   55 10141   56 10141   56 10141   56 10141   57 10141   58 10141   58 10141   58 10141   58 10141   59 10141   59 10141   59 10141   59 10141   60 10141   61 10141   61 10141   62 10141   62 10141   63 10141   64 10141   65 10141   65 10141   65 10141   66 10141   67 10141   68 10141   69 10141   70 10141   72 10141   72 10141   72 10141   73 10141   73 10141   73 10141   74 10141   74 10141   74 10141   74 10141   74 10141   75 10141   75 10141   75 10141   76 10141   77 10141   77 10141   78 10141   78 10141   79 10141   80 10141   80 10141   81 10141   81 10141   81 10141   82 10141   83 10141   84 10141   84 10141   84 10141   84 10141   85 10141   85 10141   85 10141   86 10141   87 10141   87 10141   88 10141   89 10141   89 10141   89 10141   90 10141   90 10141   90 10141   91 10141   91 10141   91 10141   91 10141   91 10141   93 10141   93 10141   93 10141   94 10141   95 10141   95 10141   95 10141   96 10141   96 10141   96 10141   97 10141   97 10141   98 10141   98 10141   99 10141   99 10141   99 10141}
+
+do_execsql_test 4.6.3 {
+  SELECT b, sum(b) OVER (
+    RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY b;
+} {0 10141   1 10141   1 10141   2 10141   2 10141   2 10141   3 10141   3 10141   4 10141   5 10141   6 10141   7 10141   7 10141   7 10141   8 10141   8 10141   8 10141   9 10141   9 10141   9 10141   10 10141   11 10141   11 10141   12 10141   12 10141   12 10141   13 10141   13 10141   14 10141   15 10141   15 10141   15 10141   16 10141   16 10141   16 10141   17 10141   19 10141   20 10141   21 10141   21 10141   22 10141   22 10141   23 10141   23 10141   23 10141   24 10141   25 10141   26 10141   26 10141   26 10141   27 10141   27 10141   28 10141   29 10141   29 10141   29 10141   30 10141   30 10141   30 10141   31 10141   31 10141   32 10141   33 10141   33 10141   33 10141   33 10141   33 10141   34 10141   34 10141   34 10141   34 10141   35 10141   35 10141   36 10141   36 10141   36 10141   36 10141   37 10141   37 10141   38 10141   38 10141   39 10141   39 10141   39 10141   40 10141   41 10141   41 10141   41 10141   42 10141   43 10141   43 10141   44 10141   44 10141   46 10141   46 10141   47 10141   47 10141   47 10141   47 10141   49 10141   50 10141   51 10141   52 10141   53 10141   54 10141   55 10141   55 10141   56 10141   56 10141   56 10141   57 10141   58 10141   58 10141   58 10141   58 10141   59 10141   59 10141   59 10141   59 10141   60 10141   61 10141   61 10141   62 10141   62 10141   63 10141   64 10141   65 10141   65 10141   65 10141   66 10141   67 10141   68 10141   69 10141   70 10141   72 10141   72 10141   72 10141   73 10141   73 10141   73 10141   74 10141   74 10141   74 10141   74 10141   74 10141   75 10141   75 10141   75 10141   76 10141   77 10141   77 10141   78 10141   78 10141   79 10141   80 10141   80 10141   81 10141   81 10141   81 10141   82 10141   83 10141   84 10141   84 10141   84 10141   84 10141   85 10141   85 10141   85 10141   86 10141   87 10141   87 10141   88 10141   89 10141   89 10141   89 10141   90 10141   90 10141   90 10141   91 10141   91 10141   91 10141   91 10141   91 10141   93 10141   93 10141   93 10141   94 10141   95 10141   95 10141   95 10141   96 10141   96 10141   96 10141   97 10141   97 10141   98 10141   98 10141   99 10141   99 10141   99 10141}
+
+do_execsql_test 4.6.4 {
+  SELECT b, sum(b) OVER (
+    RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY b;
+} {0 10141   1 10141   1 10141   2 10141   2 10141   2 10141   3 10141   3 10141   4 10141   5 10141   6 10141   7 10141   7 10141   7 10141   8 10141   8 10141   8 10141   9 10141   9 10141   9 10141   10 10141   11 10141   11 10141   12 10141   12 10141   12 10141   13 10141   13 10141   14 10141   15 10141   15 10141   15 10141   16 10141   16 10141   16 10141   17 10141   19 10141   20 10141   21 10141   21 10141   22 10141   22 10141   23 10141   23 10141   23 10141   24 10141   25 10141   26 10141   26 10141   26 10141   27 10141   27 10141   28 10141   29 10141   29 10141   29 10141   30 10141   30 10141   30 10141   31 10141   31 10141   32 10141   33 10141   33 10141   33 10141   33 10141   33 10141   34 10141   34 10141   34 10141   34 10141   35 10141   35 10141   36 10141   36 10141   36 10141   36 10141   37 10141   37 10141   38 10141   38 10141   39 10141   39 10141   39 10141   40 10141   41 10141   41 10141   41 10141   42 10141   43 10141   43 10141   44 10141   44 10141   46 10141   46 10141   47 10141   47 10141   47 10141   47 10141   49 10141   50 10141   51 10141   52 10141   53 10141   54 10141   55 10141   55 10141   56 10141   56 10141   56 10141   57 10141   58 10141   58 10141   58 10141   58 10141   59 10141   59 10141   59 10141   59 10141   60 10141   61 10141   61 10141   62 10141   62 10141   63 10141   64 10141   65 10141   65 10141   65 10141   66 10141   67 10141   68 10141   69 10141   70 10141   72 10141   72 10141   72 10141   73 10141   73 10141   73 10141   74 10141   74 10141   74 10141   74 10141   74 10141   75 10141   75 10141   75 10141   76 10141   77 10141   77 10141   78 10141   78 10141   79 10141   80 10141   80 10141   81 10141   81 10141   81 10141   82 10141   83 10141   84 10141   84 10141   84 10141   84 10141   85 10141   85 10141   85 10141   86 10141   87 10141   87 10141   88 10141   89 10141   89 10141   89 10141   90 10141   90 10141   90 10141   91 10141   91 10141   91 10141   91 10141   91 10141   93 10141   93 10141   93 10141   94 10141   95 10141   95 10141   95 10141   96 10141   96 10141   96 10141   97 10141   97 10141   98 10141   98 10141   99 10141   99 10141   99 10141}
+
+do_execsql_test 4.7.1 {
+  SELECT b, sum(b) OVER (
+    ROWS BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t2 ORDER BY 1, 2;
+} {0 0   1 1   1 1   2 2   2 2   2 2   3 3   3 3   4 4   5 5   6 6   7 7   7 7   7 7   8 8   8 8   8 8   9 9   9 9   9 9   10 10   11 11   11 11   12 12   12 12   12 12   13 13   13 13   14 14   15 15   15 15   15 15   16 16   16 16   16 16   17 17   19 19   20 20   21 21   21 21   22 22   22 22   23 23   23 23   23 23   24 24   25 25   26 26   26 26   26 26   27 27   27 27   28 28   29 29   29 29   29 29   30 30   30 30   30 30   31 31   31 31   32 32   33 33   33 33   33 33   33 33   33 33   34 34   34 34   34 34   34 34   35 35   35 35   36 36   36 36   36 36   36 36   37 37   37 37   38 38   38 38   39 39   39 39   39 39   40 40   41 41   41 41   41 41   42 42   43 43   43 43   44 44   44 44   46 46   46 46   47 47   47 47   47 47   47 47   49 49   50 50   51 51   52 52   53 53   54 54   55 55   55 55   56 56   56 56   56 56   57 57   58 58   58 58   58 58   58 58   59 59   59 59   59 59   59 59   60 60   61 61   61 61   62 62   62 62   63 63   64 64   65 65   65 65   65 65   66 66   67 67   68 68   69 69   70 70   72 72   72 72   72 72   73 73   73 73   73 73   74 74   74 74   74 74   74 74   74 74   75 75   75 75   75 75   76 76   77 77   77 77   78 78   78 78   79 79   80 80   80 80   81 81   81 81   81 81   82 82   83 83   84 84   84 84   84 84   84 84   85 85   85 85   85 85   86 86   87 87   87 87   88 88   89 89   89 89   89 89   90 90   90 90   90 90   91 91   91 91   91 91   91 91   91 91   93 93   93 93   93 93   94 94   95 95   95 95   95 95   96 96   96 96   96 96   97 97   97 97   98 98   98 98   99 99   99 99   99 99}
+
+do_execsql_test 4.7.2 {
+  SELECT b, sum(b) OVER (
+    ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t2 ORDER BY 1, 2;
+} {0 0   1 3379   1 5443   2 372   2 4473   2 7074   3 2916   3 9096   4 4049   5 5643   6 1047   7 2205   7 7081   7 10141   8 1553   8 5926   8 6422   9 4883   9 7932   9 8497   10 9544   11 5727   11 6433   12 2825   12 5918   12 8582   13 5190   13 8570   14 8596   15 3189   15 6023   15 8924   16 1942   16 1958   16 3590   17 10134   19 7474   20 5946   21 5464   21 9682   22 3029   22 6140   23 212   23 1926   23 8520   24 2626   25 3331   26 337   26 7539   26 7565   27 1270   27 10035   28 3217   29 1649   29 4355   29 7326   30 4215   30 9400   30 9853   31 5977   31 6008   32 2857   33 370   33 4326   33 8175   33 8909   33 9661   34 6414   34 6516   34 8958   34 9925   35 2151   35 5638   36 3701   36 7818   36 8785   36 8994   37 4597   37 8557   38 735   38 9891   39 842   39 7513   39 9721   40 3475   41 115   41 4874   41 5906   42 4185   43 2754   43 3518   44 7072   44 9765   46 1041   46 1316   47 2198   47 3378   47 7612   47 7923   49 6482   50 9450   51 5778   52 9370   53 4408   54 1448   55 3174   55 6876   56 2913   56 3435   56 3574   57 7223   58 5248   58 7876   58 9318   58 9823   59 697   59 2813   59 6665   59 7455   60 6821   61 2426   61 4944   62 904   62 8658   63 4471   64 8407   65 2116   65 5177   65 5603   66 8142   67 1620   68 803   69 9260   70 7396   72 4833   72 8004   72 8076   73 5017   73 5716   73 6213   74 74   74 189   74 2365   74 5538   74 7297   75 3665   75 6951   75 8343   76 3964   77 1903   77 7028   78 1394   78 4293   79 6292   80 4677   80 7692   81 542   81 4045   81 8488   82 10117   83 10008   84 1826   84 4761   84 9534   84 9628   85 2602   85 2711   85 7166   86 2291   87 4560   87 5865   88 6380   89 461   89 3306   89 3790   90 3119   90 6606   90 7782   91 995   91 2517   91 3007   91 8749   91 8876   93 1742   93 2051   93 8268   94 4143   95 5112   95 6118   95 9191   96 638   96 5344   96 6761   97 1243   97 1545   98 3888   98 5442   99 311   99 1146   99 9093}
+
+do_execsql_test 4.7.3 {
+  SELECT b, sum(b) OVER (
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY 1, 2;
+} {0 10141   1 10141   1 10141   2 10141   2 10141   2 10141   3 10141   3 10141   4 10141   5 10141   6 10141   7 10141   7 10141   7 10141   8 10141   8 10141   8 10141   9 10141   9 10141   9 10141   10 10141   11 10141   11 10141   12 10141   12 10141   12 10141   13 10141   13 10141   14 10141   15 10141   15 10141   15 10141   16 10141   16 10141   16 10141   17 10141   19 10141   20 10141   21 10141   21 10141   22 10141   22 10141   23 10141   23 10141   23 10141   24 10141   25 10141   26 10141   26 10141   26 10141   27 10141   27 10141   28 10141   29 10141   29 10141   29 10141   30 10141   30 10141   30 10141   31 10141   31 10141   32 10141   33 10141   33 10141   33 10141   33 10141   33 10141   34 10141   34 10141   34 10141   34 10141   35 10141   35 10141   36 10141   36 10141   36 10141   36 10141   37 10141   37 10141   38 10141   38 10141   39 10141   39 10141   39 10141   40 10141   41 10141   41 10141   41 10141   42 10141   43 10141   43 10141   44 10141   44 10141   46 10141   46 10141   47 10141   47 10141   47 10141   47 10141   49 10141   50 10141   51 10141   52 10141   53 10141   54 10141   55 10141   55 10141   56 10141   56 10141   56 10141   57 10141   58 10141   58 10141   58 10141   58 10141   59 10141   59 10141   59 10141   59 10141   60 10141   61 10141   61 10141   62 10141   62 10141   63 10141   64 10141   65 10141   65 10141   65 10141   66 10141   67 10141   68 10141   69 10141   70 10141   72 10141   72 10141   72 10141   73 10141   73 10141   73 10141   74 10141   74 10141   74 10141   74 10141   74 10141   75 10141   75 10141   75 10141   76 10141   77 10141   77 10141   78 10141   78 10141   79 10141   80 10141   80 10141   81 10141   81 10141   81 10141   82 10141   83 10141   84 10141   84 10141   84 10141   84 10141   85 10141   85 10141   85 10141   86 10141   87 10141   87 10141   88 10141   89 10141   89 10141   89 10141   90 10141   90 10141   90 10141   91 10141   91 10141   91 10141   91 10141   91 10141   93 10141   93 10141   93 10141   94 10141   95 10141   95 10141   95 10141   96 10141   96 10141   96 10141   97 10141   97 10141   98 10141   98 10141   99 10141   99 10141   99 10141}
+
+do_execsql_test 4.7.4 {
+  SELECT b, sum(b) OVER (
+    ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY 1, 2;
+} {0 10141   1 4699   1 6763   2 3069   2 5670   2 9771   3 1048   3 7228   4 6096   5 4503   6 9100   7 7   7 3067   7 7943   8 3727   8 4223   8 8596   9 1653   9 2218   9 5267   10 607   11 3719   11 4425   12 1571   12 4235   12 7328   13 1584   13 4964   14 1559   15 1232   15 4133   15 6967   16 6567   16 8199   16 8215   17 24   19 2686   20 4215   21 480   21 4698   22 4023   22 7134   23 1644   23 8238   23 9952   24 7539   25 6835   26 2602   26 2628   26 9830   27 133   27 8898   28 6952   29 2844   29 5815   29 8521   30 318   30 771   30 5956   31 4164   31 4195   32 7316   33 513   33 1265   33 1999   33 5848   33 9804   34 250   34 1217   34 3659   34 3761   35 4538   35 8025   36 1183   36 1392   36 2359   36 6476   37 1621   37 5581   38 288   38 9444   39 459   39 2667   39 9338   40 6706   41 4276   41 5308   41 10067   42 5998   43 6666   43 7430   44 420   44 3113   46 8871   46 9146   47 2265   47 2576   47 6810   47 7990   49 3708   50 741   51 4414   52 823   53 5786   54 8747   55 3320   55 7022   56 6623   56 6762   56 7284   57 2975   58 376   58 881   58 2323   58 4951   59 2745   59 3535   59 7387   59 9503   60 3380   61 5258   61 7776   62 1545   62 9299   63 5733   64 1798   65 4603   65 5029   65 8090   66 2065   67 8588   68 9406   69 950   70 2815   72 2137   72 2209   72 5380   73 4001   73 4498   73 5197   74 2918   74 4677   74 7850   74 10026   74 10141   75 1873   75 3265   75 6551   76 6253   77 3190   77 8315   78 5926   78 8825   79 3928   80 2529   80 5544   81 1734   81 6177   81 9680   82 106   83 216   84 597   84 691   84 5464   84 8399   85 3060   85 7515   85 7624   86 7936   87 4363   87 5668   88 3849   89 6440   89 6924   89 9769   90 2449   90 3625   90 7112   91 1356   91 1483   91 7225   91 7715   91 9237   93 1966   93 8183   93 8492   94 6092   95 1045   95 4118   95 5124   96 3476   96 4893   96 9599   97 8693   97 8995   98 4797   98 6351   99 1147   99 9094   99 9929}
+
+do_execsql_test 4.8.1 {
+  SELECT b, sum(b) OVER (
+    ORDER BY a
+    ROWS BETWEEN CURRENT ROW AND CURRENT ROW
+  ) FROM t2 ORDER BY 1, 2;
+} {0 0   1 1   1 1   2 2   2 2   2 2   3 3   3 3   4 4   5 5   6 6   7 7   7 7   7 7   8 8   8 8   8 8   9 9   9 9   9 9   10 10   11 11   11 11   12 12   12 12   12 12   13 13   13 13   14 14   15 15   15 15   15 15   16 16   16 16   16 16   17 17   19 19   20 20   21 21   21 21   22 22   22 22   23 23   23 23   23 23   24 24   25 25   26 26   26 26   26 26   27 27   27 27   28 28   29 29   29 29   29 29   30 30   30 30   30 30   31 31   31 31   32 32   33 33   33 33   33 33   33 33   33 33   34 34   34 34   34 34   34 34   35 35   35 35   36 36   36 36   36 36   36 36   37 37   37 37   38 38   38 38   39 39   39 39   39 39   40 40   41 41   41 41   41 41   42 42   43 43   43 43   44 44   44 44   46 46   46 46   47 47   47 47   47 47   47 47   49 49   50 50   51 51   52 52   53 53   54 54   55 55   55 55   56 56   56 56   56 56   57 57   58 58   58 58   58 58   58 58   59 59   59 59   59 59   59 59   60 60   61 61   61 61   62 62   62 62   63 63   64 64   65 65   65 65   65 65   66 66   67 67   68 68   69 69   70 70   72 72   72 72   72 72   73 73   73 73   73 73   74 74   74 74   74 74   74 74   74 74   75 75   75 75   75 75   76 76   77 77   77 77   78 78   78 78   79 79   80 80   80 80   81 81   81 81   81 81   82 82   83 83   84 84   84 84   84 84   84 84   85 85   85 85   85 85   86 86   87 87   87 87   88 88   89 89   89 89   89 89   90 90   90 90   90 90   91 91   91 91   91 91   91 91   91 91   93 93   93 93   93 93   94 94   95 95   95 95   95 95   96 96   96 96   96 96   97 97   97 97   98 98   98 98   99 99   99 99   99 99}
+
+do_execsql_test 4.8.2 {
+  SELECT b, sum(b) OVER (
+    ORDER BY a
+    ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  ) FROM t2 ORDER BY 1, 2;
+} {0 0   1 3379   1 5443   2 372   2 4473   2 7074   3 2916   3 9096   4 4049   5 5643   6 1047   7 2205   7 7081   7 10141   8 1553   8 5926   8 6422   9 4883   9 7932   9 8497   10 9544   11 5727   11 6433   12 2825   12 5918   12 8582   13 5190   13 8570   14 8596   15 3189   15 6023   15 8924   16 1942   16 1958   16 3590   17 10134   19 7474   20 5946   21 5464   21 9682   22 3029   22 6140   23 212   23 1926   23 8520   24 2626   25 3331   26 337   26 7539   26 7565   27 1270   27 10035   28 3217   29 1649   29 4355   29 7326   30 4215   30 9400   30 9853   31 5977   31 6008   32 2857   33 370   33 4326   33 8175   33 8909   33 9661   34 6414   34 6516   34 8958   34 9925   35 2151   35 5638   36 3701   36 7818   36 8785   36 8994   37 4597   37 8557   38 735   38 9891   39 842   39 7513   39 9721   40 3475   41 115   41 4874   41 5906   42 4185   43 2754   43 3518   44 7072   44 9765   46 1041   46 1316   47 2198   47 3378   47 7612   47 7923   49 6482   50 9450   51 5778   52 9370   53 4408   54 1448   55 3174   55 6876   56 2913   56 3435   56 3574   57 7223   58 5248   58 7876   58 9318   58 9823   59 697   59 2813   59 6665   59 7455   60 6821   61 2426   61 4944   62 904   62 8658   63 4471   64 8407   65 2116   65 5177   65 5603   66 8142   67 1620   68 803   69 9260   70 7396   72 4833   72 8004   72 8076   73 5017   73 5716   73 6213   74 74   74 189   74 2365   74 5538   74 7297   75 3665   75 6951   75 8343   76 3964   77 1903   77 7028   78 1394   78 4293   79 6292   80 4677   80 7692   81 542   81 4045   81 8488   82 10117   83 10008   84 1826   84 4761   84 9534   84 9628   85 2602   85 2711   85 7166   86 2291   87 4560   87 5865   88 6380   89 461   89 3306   89 3790   90 3119   90 6606   90 7782   91 995   91 2517   91 3007   91 8749   91 8876   93 1742   93 2051   93 8268   94 4143   95 5112   95 6118   95 9191   96 638   96 5344   96 6761   97 1243   97 1545   98 3888   98 5442   99 311   99 1146   99 9093}
+
+do_execsql_test 4.8.3 {
+  SELECT b, sum(b) OVER (
+    ORDER BY a
+    ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY 1, 2;
+} {0 10141   1 10141   1 10141   2 10141   2 10141   2 10141   3 10141   3 10141   4 10141   5 10141   6 10141   7 10141   7 10141   7 10141   8 10141   8 10141   8 10141   9 10141   9 10141   9 10141   10 10141   11 10141   11 10141   12 10141   12 10141   12 10141   13 10141   13 10141   14 10141   15 10141   15 10141   15 10141   16 10141   16 10141   16 10141   17 10141   19 10141   20 10141   21 10141   21 10141   22 10141   22 10141   23 10141   23 10141   23 10141   24 10141   25 10141   26 10141   26 10141   26 10141   27 10141   27 10141   28 10141   29 10141   29 10141   29 10141   30 10141   30 10141   30 10141   31 10141   31 10141   32 10141   33 10141   33 10141   33 10141   33 10141   33 10141   34 10141   34 10141   34 10141   34 10141   35 10141   35 10141   36 10141   36 10141   36 10141   36 10141   37 10141   37 10141   38 10141   38 10141   39 10141   39 10141   39 10141   40 10141   41 10141   41 10141   41 10141   42 10141   43 10141   43 10141   44 10141   44 10141   46 10141   46 10141   47 10141   47 10141   47 10141   47 10141   49 10141   50 10141   51 10141   52 10141   53 10141   54 10141   55 10141   55 10141   56 10141   56 10141   56 10141   57 10141   58 10141   58 10141   58 10141   58 10141   59 10141   59 10141   59 10141   59 10141   60 10141   61 10141   61 10141   62 10141   62 10141   63 10141   64 10141   65 10141   65 10141   65 10141   66 10141   67 10141   68 10141   69 10141   70 10141   72 10141   72 10141   72 10141   73 10141   73 10141   73 10141   74 10141   74 10141   74 10141   74 10141   74 10141   75 10141   75 10141   75 10141   76 10141   77 10141   77 10141   78 10141   78 10141   79 10141   80 10141   80 10141   81 10141   81 10141   81 10141   82 10141   83 10141   84 10141   84 10141   84 10141   84 10141   85 10141   85 10141   85 10141   86 10141   87 10141   87 10141   88 10141   89 10141   89 10141   89 10141   90 10141   90 10141   90 10141   91 10141   91 10141   91 10141   91 10141   91 10141   93 10141   93 10141   93 10141   94 10141   95 10141   95 10141   95 10141   96 10141   96 10141   96 10141   97 10141   97 10141   98 10141   98 10141   99 10141   99 10141   99 10141}
+
+do_execsql_test 4.8.4 {
+  SELECT b, sum(b) OVER (
+    ORDER BY a
+    ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t2 ORDER BY 1, 2;
+} {0 10141   1 4699   1 6763   2 3069   2 5670   2 9771   3 1048   3 7228   4 6096   5 4503   6 9100   7 7   7 3067   7 7943   8 3727   8 4223   8 8596   9 1653   9 2218   9 5267   10 607   11 3719   11 4425   12 1571   12 4235   12 7328   13 1584   13 4964   14 1559   15 1232   15 4133   15 6967   16 6567   16 8199   16 8215   17 24   19 2686   20 4215   21 480   21 4698   22 4023   22 7134   23 1644   23 8238   23 9952   24 7539   25 6835   26 2602   26 2628   26 9830   27 133   27 8898   28 6952   29 2844   29 5815   29 8521   30 318   30 771   30 5956   31 4164   31 4195   32 7316   33 513   33 1265   33 1999   33 5848   33 9804   34 250   34 1217   34 3659   34 3761   35 4538   35 8025   36 1183   36 1392   36 2359   36 6476   37 1621   37 5581   38 288   38 9444   39 459   39 2667   39 9338   40 6706   41 4276   41 5308   41 10067   42 5998   43 6666   43 7430   44 420   44 3113   46 8871   46 9146   47 2265   47 2576   47 6810   47 7990   49 3708   50 741   51 4414   52 823   53 5786   54 8747   55 3320   55 7022   56 6623   56 6762   56 7284   57 2975   58 376   58 881   58 2323   58 4951   59 2745   59 3535   59 7387   59 9503   60 3380   61 5258   61 7776   62 1545   62 9299   63 5733   64 1798   65 4603   65 5029   65 8090   66 2065   67 8588   68 9406   69 950   70 2815   72 2137   72 2209   72 5380   73 4001   73 4498   73 5197   74 2918   74 4677   74 7850   74 10026   74 10141   75 1873   75 3265   75 6551   76 6253   77 3190   77 8315   78 5926   78 8825   79 3928   80 2529   80 5544   81 1734   81 6177   81 9680   82 106   83 216   84 597   84 691   84 5464   84 8399   85 3060   85 7515   85 7624   86 7936   87 4363   87 5668   88 3849   89 6440   89 6924   89 9769   90 2449   90 3625   90 7112   91 1356   91 1483   91 7225   91 7715   91 9237   93 1966   93 8183   93 8492   94 6092   95 1045   95 4118   95 5124   96 3476   96 4893   96 9599   97 8693   97 8995   98 4797   98 6351   99 1147   99 9094   99 9929}
 
 finish_test

From a0368d9396ea3c8cb80f902cacb7594039909bb2 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Wed, 30 May 2018 00:54:23 +0000
Subject: [PATCH 014/154] Demonstration code on a possible technique for
 optimizing the use of IN operator on columns to the right of multicolumn
 indexes.  If the OP_Noop generated where were really a new opcode that
 checked to see if there existed any entries in the index with a matching
 prefix, it might prevent unnecessary iterations of the IN operator.

FossilOrigin-Name: 92f0fe155d5546fc7f4a443d0630613dabe149061966308e5420fad652278f16
---
 manifest        | 21 ++++++++++++---------
 manifest.uuid   |  2 +-
 src/where.c     |  4 ++++
 src/whereInt.h  |  2 ++
 src/wherecode.c |  2 ++
 5 files changed, 21 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index fad5a45c93..2cfdac9d08 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Increase\sthe\snumber\sof\sdatabase\shandles\sopened\sby\stest\sscript\soserror.test\sto\nprovoke\san\s"out\sof\sfile-descriptors"\serror\sto\s20000\s(from\s2000).
-D 2018-05-29T19:12:58.327
+C Demonstration\scode\son\sa\spossible\stechnique\sfor\soptimizing\sthe\suse\sof\sIN\noperator\son\scolumns\sto\sthe\sright\sof\smulticolumn\sindexes.\s\sIf\sthe\sOP_Noop\ngenerated\swhere\swere\sreally\sa\snew\sopcode\sthat\schecked\sto\ssee\sif\sthere\sexisted\nany\sentries\sin\sthe\sindex\swith\sa\smatching\sprefix,\sit\smight\sprevent\sunnecessary\niterations\sof\sthe\sIN\soperator.
+D 2018-05-30T00:54:23.670
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -578,9 +578,9 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
-F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
-F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
+F src/where.c a9a270991e5e526151d077959b868481b28db8707bc6d29b76badd536c48225a
+F src/whereInt.h b6ab96d9c1e48d029eaaee8f9b6d05e6a2405af0ad68f684e75f21c46837ae11
+F src/wherecode.c 49256d67b95187f9b49777c0f526362f4eaaa46850700fe5020cf6b154a2fc52
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
@@ -1729,7 +1729,10 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 89f56d6b0a6847b042a1556cdf79c598c9bfdbdd5f9529d508ca7b4d26a6ed38
-R d1b9772c07cea88c945a7c3a78ab0901
-U dan
-Z caf1e7dfd24b3c90db5132889b4bf8f4
+P 3b00f73456c65dfc1827fdada9afb49245f9addfa684d5ae35e69a07f39164bf
+R 150e6f6563a2a6ab67c600fc77f11cd6
+T *branch * multikey-opt-idea
+T *sym-multikey-opt-idea *
+T -sym-trunk *
+U drh
+Z 0e3a9a98888882656fe85b8d1be89ddd
diff --git a/manifest.uuid b/manifest.uuid
index 16cd4a0a40..60b47eade3 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-3b00f73456c65dfc1827fdada9afb49245f9addfa684d5ae35e69a07f39164bf
\ No newline at end of file
+92f0fe155d5546fc7f4a443d0630613dabe149061966308e5420fad652278f16
\ No newline at end of file
diff --git a/src/where.c b/src/where.c
index b83915e264..b93e2260e6 100644
--- a/src/where.c
+++ b/src/where.c
@@ -5083,6 +5083,10 @@ void sqlite3WhereEnd(WhereInfo *pWInfo){
       for(j=pLevel->u.in.nIn, pIn=&pLevel->u.in.aInLoop[j-1]; j>0; j--, pIn--){
         sqlite3VdbeJumpHere(v, pIn->addrInTop+1);
         if( pIn->eEndLoopOp!=OP_Noop ){
+          if( pIn->nPrefix ){
+            sqlite3VdbeAddOp3(v, OP_Noop, pLevel->iIdxCur,
+                              pIn->iBase, pIn->nPrefix);
+          }
           sqlite3VdbeAddOp2(v, pIn->eEndLoopOp, pIn->iCur, pIn->addrInTop);
           VdbeCoverage(v);
           VdbeCoverageIf(v, pIn->eEndLoopOp==OP_PrevIfOpen);
diff --git a/src/whereInt.h b/src/whereInt.h
index 4b6213af31..08159fe28e 100644
--- a/src/whereInt.h
+++ b/src/whereInt.h
@@ -82,6 +82,8 @@ struct WhereLevel {
       struct InLoop {
         int iCur;              /* The VDBE cursor used by this IN operator */
         int addrInTop;         /* Top of the IN loop */
+        int iBase;             /* Base register of multi-key index record */
+        int nPrefix;           /* Number of prior entires in the key */
         u8 eEndLoopOp;         /* IN Loop terminator. OP_Next or OP_Prev */
       } *aInLoop;           /* Information about each nested IN operator */
     } in;                 /* Used when pWLoop->wsFlags&WHERE_IN_ABLE */
diff --git a/src/wherecode.c b/src/wherecode.c
index c9edab7b0c..1578122479 100644
--- a/src/wherecode.c
+++ b/src/wherecode.c
@@ -592,6 +592,8 @@ static int codeEqualityTerm(
           if( i==iEq ){
             pIn->iCur = iTab;
             pIn->eEndLoopOp = bRev ? OP_PrevIfOpen : OP_NextIfOpen;
+            pIn->iBase = iReg - i;
+            pIn->nPrefix = i;
           }else{
             pIn->eEndLoopOp = OP_Noop;
           }

From c9a8668ac77dee583029d62fa14406ce5b36409c Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 30 May 2018 20:44:58 +0000
Subject: [PATCH 015/154] Allow min() and max() to be used as window functions.

FossilOrigin-Name: c16125a884a9131b707ac20033968c4c3177ea79625a15efb64d754568c6c7a0
---
 manifest           |  19 +++--
 manifest.uuid      |   2 +-
 src/sqliteInt.h    |   8 +-
 src/window.c       | 115 ++++++++++++++++++++------
 test/pg_common.tcl | 110 +++++++++++++++++++++++++
 test/window2.tcl   |  98 +----------------------
 test/window3.tcl   |  81 +++++++++++++++++++
 test/window3.test  | 196 +++++++++++++++++++++++++++++++++++++++++++++
 8 files changed, 495 insertions(+), 134 deletions(-)
 create mode 100644 test/pg_common.tcl
 create mode 100644 test/window3.tcl
 create mode 100644 test/window3.test

diff --git a/manifest b/manifest
index 14dd188f0e..e6173ed2ce 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Further\swindow\sframe\stests\sand\sfixes.
-D 2018-05-28T18:30:45.964
+C Allow\smin()\sand\smax()\sto\sbe\sused\sas\swindow\sfunctions.
+D 2018-05-30T20:44:58.014
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -499,7 +499,7 @@ F src/shell.c.in 51c100206f4b7f86cd9affd80b764825e0edc36ca0190c442e4ca7994611bfe
 F src/sqlite.h.in e379906b85cc3539c6a37ab972f2c28711b28854a457f54e137d20f75db5db7c
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 735b04170551a899e8703421c376f98c19503b8210ad4cd2e0f35b85b6af595d
+F src/sqliteInt.h daa86b28d3c73ddd8f73bbb24ee8067f7de901fca04ff44816e3a36f4f4a94f8
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 9877f4e19ad625d398c4360d5dfa9472949d9c5099f484f49c001c27265a505e
+F src/window.c 1f2b1590db468bde0ae2c53fe8b89f7a47afd8fd66a65a1385ffe6ce6f292279
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1148,6 +1148,7 @@ F test/pcache.test c8acbedd3b6fd0f9a7ca887a83b11d24a007972b
 F test/pcache2.test af7f3deb1a819f77a6d0d81534e97d1cf62cd442
 F test/percentile.test 4243af26b8f3f4555abe166f723715a1f74c77ff
 F test/permutations.test 10793f1de89a226fa22dde9ba9398de22571fee1bfb53a935a11be4aa014704f
+F test/pg_common.tcl 022a99098d284c64265b96573ef038ddb4c4c566ac587f50527f8a5e86c86ed0
 F test/pragma.test 7c8cfc328a1717a95663cf8edb06c52ddfeaf97bb0aee69ae7457132e8d39e7d
 F test/pragma2.test e5d5c176360c321344249354c0c16aec46214c9f
 F test/pragma3.test 14c12bc5352b1e100e0b6b44f371053a81ccf8ed
@@ -1615,8 +1616,10 @@ F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
-F test/window2.tcl 4e051199689587ab94c81c8436c29dee07052fee985fc08fe4fd497a1b508646
+F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
+F test/window3.tcl d17eda13ef009ff447e3886c8b82d391d39a27bfc93bef5e447fb399e65e03a2
+F test/window3.test ce345cb0b9b7691d1b686e171ff00e8642ad710d5cd60029220a916b4858c27c
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1733,7 +1736,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 2c85668a0f86bcfd3de4c65847ac252e136ce97409a2249c5f4f58e3756e9a69
-R 1cf842b75d4a9687b8ca113a1c8bbd46
+P e74c6e91859ec395c12ba2742542ff176a1d8364dcfb66b862240746bef54efc
+R c4e13ad00b1be186d1a741c62965ae01
 U dan
-Z daba16705cc0091be82f10a481eb85e0
+Z 73f6b911c1a6e43e389c2921969fdc8b
diff --git a/manifest.uuid b/manifest.uuid
index e93f92540d..adf1a6034d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-e74c6e91859ec395c12ba2742542ff176a1d8364dcfb66b862240746bef54efc
\ No newline at end of file
+c16125a884a9131b707ac20033968c4c3177ea79625a15efb64d754568c6c7a0
\ No newline at end of file
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 35db193975..6835c45367 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -3479,11 +3479,15 @@ struct Window {
   Expr *pStart;           /* Expression for "<expr> PRECEDING" */
   Expr *pEnd;             /* Expression for "<expr> FOLLOWING" */
   Window *pNextWin;       /* Next window function belonging to this SELECT */
+  FuncDef *pFunc;
+  int nArg;
+
   int iEphCsr;            /* Temp table used by this window */
   int regAccum;
   int regResult;
-  FuncDef *pFunc;
-  int nArg;
+
+  int csrApp;             /* Function cursor (used by min/max) */
+  int regApp;             /* Function register (also used by min/max) */
 
   int regPart;
   Expr *pOwner;           /* Expression object this window is attached to */
diff --git a/src/window.c b/src/window.c
index ad9b54c131..2745a0d077 100644
--- a/src/window.c
+++ b/src/window.c
@@ -66,6 +66,28 @@ int sqlite3WindowCompare(Parse *pParse, Window *p1, Window *p2){
   return 0;
 }
 
+static void windowAggInit(Parse *pParse, Window *pMWin){
+  Window *pWin;
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    int funcFlags = pWin->pFunc->funcFlags;
+    if( (funcFlags & SQLITE_FUNC_MINMAX) && pWin->eStart!=TK_UNBOUNDED ){
+      ExprList *pList = pWin->pOwner->x.pList;
+      KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pList, 0, 0);
+      Vdbe *v = sqlite3GetVdbe(pParse);
+      pWin->csrApp = pParse->nTab++;
+      pWin->regApp = pParse->nMem+1;
+      pParse->nMem += 3;
+      if( pKeyInfo && pWin->pFunc->zName[1]=='i' ){
+        assert( pKeyInfo->aSortOrder[0]==0 );
+        pKeyInfo->aSortOrder[0] = 1;
+      }
+      sqlite3VdbeAddOp2(v, OP_OpenEphemeral, pWin->csrApp, 2);
+      sqlite3VdbeAppendP4(v, pKeyInfo, P4_KEYINFO);
+      sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
+    }
+  }
+}
+
 void sqlite3WindowCodeInit(Parse *pParse, Window *pWin){
   Vdbe *v = sqlite3GetVdbe(pParse);
   int nPart = (pWin->pPartition ? pWin->pPartition->nExpr : 0);
@@ -75,6 +97,7 @@ void sqlite3WindowCodeInit(Parse *pParse, Window *pWin){
     pParse->nMem += nPart;
     sqlite3VdbeAddOp3(v, OP_Null, 0, pWin->regPart, pWin->regPart+nPart-1);
   }
+  windowAggInit(pParse, pWin);
 }
 
 static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
@@ -85,7 +108,6 @@ static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
   Vdbe *v = sqlite3GetVdbe(pParse);
   int regZero = ++pParse->nMem;
 
-
   sqlite3VdbeAddOp2(v, OP_Integer, 0, regZero);
   sqlite3VdbeAddOp2(v, OP_MustBeInt, reg, sqlite3VdbeCurrentAddr(v)+2);
   sqlite3VdbeAddOp3(v, OP_Ge, regZero, sqlite3VdbeCurrentAddr(v)+2, reg);
@@ -93,6 +115,11 @@ static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
   sqlite3VdbeAppendP4(v, (void*)azErr[bEnd], P4_STATIC);
 }
 
+/*
+** Generate VM code to invoke either xStep() (if bInverse is 0) or 
+** xInverse (if bInverse is non-zero) for each window function in the 
+** linked list starting at pMWin.
+*/
 static void windowAggStep(
   Parse *pParse, 
   Window *pMWin, 
@@ -103,13 +130,38 @@ static void windowAggStep(
   Vdbe *v = sqlite3GetVdbe(pParse);
   Window *pWin;
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    int i;
-    for(i=0; i<pWin->nArg; i++){
-      sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+i, reg+i);
+    int regArg;
+    if( csr>=0 ){
+      int i;
+      for(i=0; i<pWin->nArg; i++){
+        sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+i, reg+i);
+      }
+      regArg = reg;
+    }else{
+      regArg = reg + pWin->iArgCol;
+    }
+
+    if( pWin->csrApp ){
+      if( bInverse==0 ){
+        sqlite3VdbeAddOp2(v, OP_AddImm, pWin->regApp+1, 1);
+        sqlite3VdbeAddOp2(v, OP_SCopy, regArg, pWin->regApp);
+        sqlite3VdbeAddOp3(v, OP_MakeRecord, pWin->regApp, 2, pWin->regApp+2);
+        sqlite3VdbeAddOp2(v, OP_IdxInsert, pWin->csrApp, pWin->regApp+2);
+      }else{
+        sqlite3VdbeAddOp4Int(v, OP_SeekGE, pWin->csrApp, 0, regArg, 1);
+        sqlite3VdbeAddOp1(v, OP_Delete, pWin->csrApp);
+        sqlite3VdbeJumpHere(v, sqlite3VdbeCurrentAddr(v)-2);
+      }
+    }else{
+      if( pWin->pFunc->funcFlags & SQLITE_FUNC_NEEDCOLL ){
+        CollSeq *pColl;
+        pColl = sqlite3ExprCollSeq(pParse, pWin->pOwner->x.pList->a[0].pExpr);
+        sqlite3VdbeAddOp4(v, OP_CollSeq, 0,0,0, (const char*)pColl, P4_COLLSEQ);
+      }
+      sqlite3VdbeAddOp3(v, OP_AggStep0, bInverse, regArg, pWin->regAccum);
+      sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+      sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
     }
-    sqlite3VdbeAddOp3(v, OP_AggStep0, bInverse, reg, pWin->regAccum);
-    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-    sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
   }
 }
 
@@ -118,15 +170,25 @@ static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
   Window *pWin;
 
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    if( bFinal==0 ){
+    if( pWin->csrApp ){
       sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
-    }
-    sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
-    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-    if( bFinal ){
-      sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+      sqlite3VdbeAddOp1(v, OP_Last, pWin->csrApp);
+      sqlite3VdbeAddOp3(v, OP_Column, pWin->csrApp, 0, pWin->regResult);
+      sqlite3VdbeJumpHere(v, sqlite3VdbeCurrentAddr(v)-2);
+      if( bFinal ){
+        sqlite3VdbeAddOp1(v, OP_ResetSorter, pWin->csrApp);
+      }
     }else{
-      sqlite3VdbeChangeP3(v, -1, pWin->regResult);
+      if( bFinal==0 ){
+        sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
+      }
+      sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+      sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
+      if( bFinal ){
+        sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+      }else{
+        sqlite3VdbeChangeP3(v, -1, pWin->regResult);
+      }
     }
   }
 }
@@ -333,13 +395,12 @@ static void windowCodeRowExprStep(
   if( pMWin->pPartition ){
     ExprList *pPart = pMWin->pPartition;
     int nPart = (pPart ? pPart->nExpr : 0);
-    int addrJump = 0;
     int regNewPart = reg + pMWin->nBufferCol;
     KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pPart, 0, 0);
 
     addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
     sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
-    addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, addr+4, addr+2);
+    sqlite3VdbeAddOp3(v, OP_Jump, addr+2, addr+4, addr+2);
     sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
     sqlite3VdbeAddOp3(v, OP_Copy, regNewPart, pMWin->regPart, nPart);
   }
@@ -355,7 +416,7 @@ static void windowCodeRowExprStep(
   sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
   addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
 
-  /* flush_partition: */
+  /* Start of "flush_partition" */
   sqlite3VdbeResolveLabel(v, lblFlushPart);
   sqlite3VdbeAddOp2(v, OP_Once, 0, sqlite3VdbeCurrentAddr(v)+3);
   sqlite3VdbeAddOp2(v, OP_OpenDup, csrStart, pMWin->iEphCsr);
@@ -370,12 +431,18 @@ static void windowCodeRowExprStep(
   if( pMWin->pEnd ){
     sqlite3ExprCode(pParse, pMWin->pEnd, regEnd);
     windowCheckFrameValue(pParse, regEnd, 1);
-    if( pMWin->pStart && pMWin->eStart==TK_FOLLOWING ){
-      assert( pMWin->eEnd==TK_FOLLOWING );
-      sqlite3VdbeAddOp3(v, OP_Subtract, regStart, regEnd, regEnd);
-    }
   }
 
+  /* If this is "ROWS <expr1> FOLLOWING AND ROWS <expr2> FOLLOWING", do:
+  **
+  **   regEnd = regEnd - regStart;
+  */
+  if( pMWin->pEnd && pMWin->pStart && pMWin->eStart==TK_FOLLOWING ){
+    assert( pMWin->eEnd==TK_FOLLOWING );
+    sqlite3VdbeAddOp3(v, OP_Subtract, regStart, regEnd, regEnd);
+  }
+
+  /* Initialize the accumulator register for each window function to NULL */
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
   }
@@ -591,11 +658,7 @@ static void windowCodeDefaultStep(
   }
 
   /* Invoke step function for window functions */
-  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    sqlite3VdbeAddOp3(v, OP_AggStep0, 0, reg+pWin->iArgCol, pWin->regAccum);
-    sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-    sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
-  }
+  windowAggStep(pParse, pMWin, -1, 0, reg);
 
   /* Buffer the current row in the ephemeral table. */
   if( pMWin->nBufferCol>0 ){
diff --git a/test/pg_common.tcl b/test/pg_common.tcl
new file mode 100644
index 0000000000..ef9b8370ab
--- /dev/null
+++ b/test/pg_common.tcl
@@ -0,0 +1,110 @@
+# 2018 May 19
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+#
+
+package require sqlite3
+package require Pgtcl
+
+set db [pg_connect -conninfo "dbname=postgres user=postgres password=postgres"]
+sqlite3 sqlite ""
+
+proc execsql {sql} {
+
+  set lSql [list]
+  set frag ""
+  while {[string length $sql]>0} {
+    set i [string first ";" $sql]
+    if {$i>=0} {
+      append frag [string range $sql 0 $i]
+      set sql [string range $sql $i+1 end]
+      if {[sqlite complete $frag]} {
+        lappend lSql $frag
+        set frag ""
+      }
+    } else {
+      set frag $sql
+      set sql ""
+    }
+  }
+  if {$frag != ""} {
+    lappend lSql $frag
+  }
+  #puts $lSql
+
+  set ret ""
+  foreach stmt $lSql {
+    set res [pg_exec $::db $stmt]
+    set err [pg_result $res -error]
+    if {$err!=""} { error $err }
+    for {set i 0} {$i < [pg_result $res -numTuples]} {incr i} {
+      if {$i==0} {
+        set ret [pg_result $res -getTuple 0]
+      } else {
+        append ret "   [pg_result $res -getTuple $i]"
+      }
+      # lappend ret {*}[pg_result $res -getTuple $i]
+    }
+    pg_result $res -clear
+  }
+
+  set ret
+}
+
+proc execsql_test {tn sql} {
+  set res [execsql $sql]
+  puts $::fd "do_execsql_test $tn {"
+  puts $::fd "  [string trim $sql]"
+  puts $::fd "} {$res}"
+  puts $::fd ""
+}
+
+proc start_test {name date} {
+  set dir [file dirname $::argv0]
+  set output [file join $dir $name.test]
+  set ::fd [open $output w]
+puts $::fd [string trimleft "
+# $date
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library.
+#
+
+####################################################
+# DO NOT EDIT! THIS FILE IS AUTOMATICALLY GENERATED!
+####################################################
+"]
+  puts $::fd {set testdir [file dirname $argv0]}
+  puts $::fd {source $testdir/tester.tcl}
+  puts $::fd "set testprefix $name"
+  puts $::fd ""
+}
+
+proc -- {args} {
+  puts $::fd "# $args"
+}
+
+proc ========== {args} {
+  puts $::fd "#[string repeat = 74]"
+  puts $::fd ""
+}
+
+proc finish_test {} {
+  puts $::fd finish_test
+  close $::fd
+}
+
diff --git a/test/window2.tcl b/test/window2.tcl
index b7d2b0aef5..32c0d4ca19 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -10,103 +10,7 @@
 #***********************************************************************
 #
 
-package require sqlite3
-package require Pgtcl
-
-set db [pg_connect -conninfo "dbname=postgres user=postgres password=postgres"]
-sqlite3 sqlite ""
-
-proc execsql {sql} {
-
-  set lSql [list]
-  set frag ""
-  while {[string length $sql]>0} {
-    set i [string first ";" $sql]
-    if {$i>=0} {
-      append frag [string range $sql 0 $i]
-      set sql [string range $sql $i+1 end]
-      if {[sqlite complete $frag]} {
-        lappend lSql $frag
-        set frag ""
-      }
-    } else {
-      set frag $sql
-      set sql ""
-    }
-  }
-  if {$frag != ""} {
-    lappend lSql $frag
-  }
-  #puts $lSql
-
-  set ret ""
-  foreach stmt $lSql {
-    set res [pg_exec $::db $stmt]
-    set err [pg_result $res -error]
-    if {$err!=""} { error $err }
-    for {set i 0} {$i < [pg_result $res -numTuples]} {incr i} {
-      if {$i==0} {
-        set ret [pg_result $res -getTuple 0]
-      } else {
-        append ret "   [pg_result $res -getTuple $i]"
-      }
-      # lappend ret {*}[pg_result $res -getTuple $i]
-    }
-    pg_result $res -clear
-  }
-
-  set ret
-}
-
-proc execsql_test {tn sql} {
-  set res [execsql $sql]
-  puts $::fd "do_execsql_test $tn {"
-  puts $::fd "  [string trim $sql]"
-  puts $::fd "} {$res}"
-  puts $::fd ""
-}
-
-proc start_test {name date} {
-  set dir [file dirname $::argv0]
-  set output [file join $dir $name.test]
-  set ::fd [open $output w]
-puts $::fd [string trimleft "
-# $date
-#
-# The author disclaims copyright to this source code.  In place of
-# a legal notice, here is a blessing:
-#
-#    May you do good and not evil.
-#    May you find forgiveness for yourself and forgive others.
-#    May you share freely, never taking more than you give.
-#
-#***********************************************************************
-# This file implements regression tests for SQLite library.
-#
-
-####################################################
-# DO NOT EDIT! THIS FILE IS AUTOMATICALLY GENERATED!
-####################################################
-"]
-  puts $::fd {set testdir [file dirname $argv0]}
-  puts $::fd {source $testdir/tester.tcl}
-  puts $::fd "set testprefix $name"
-  puts $::fd ""
-}
-
-proc -- {args} {
-  puts $::fd "# $args"
-}
-
-proc ========== {args} {
-  puts $::fd "#[string repeat = 74]"
-  puts $::fd ""
-}
-
-proc finish_test {} {
-  puts $::fd finish_test
-  close $::fd
-}
+source [file join [file dirname $argv0] pg_common.tcl]
 
 #=========================================================================
 
diff --git a/test/window3.tcl b/test/window3.tcl
new file mode 100644
index 0000000000..4e540efa81
--- /dev/null
+++ b/test/window3.tcl
@@ -0,0 +1,81 @@
+# 2018 May 19
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+#
+
+source [file join [file dirname $argv0] pg_common.tcl]
+
+#=========================================================================
+
+start_test window3 "2018 May 31"
+
+execsql_test 1.0 {
+  DROP TABLE IF EXISTS t2;
+  CREATE TABLE t2(a INTEGER PRIMARY KEY, b INTEGER);
+  INSERT INTO t2(a, b) VALUES
+  (1,0), (2,74), (3,41), (4,74), (5,23), (6,99), (7,26), (8,33), (9,2),
+  (10,89), (11,81), (12,96), (13,59), (14,38), (15,68), (16,39), (17,62),
+  (18,91), (19,46), (20,6), (21,99), (22,97), (23,27), (24,46), (25,78),
+  (26,54), (27,97), (28,8), (29,67), (30,29), (31,93), (32,84), (33,77),
+  (34,23), (35,16), (36,16), (37,93), (38,65), (39,35), (40,47), (41,7),
+  (42,86), (43,74), (44,61), (45,91), (46,85), (47,24), (48,85), (49,43),
+  (50,59), (51,12), (52,32), (53,56), (54,3), (55,91), (56,22), (57,90),
+  (58,55), (59,15), (60,28), (61,89), (62,25), (63,47), (64,1), (65,56),
+  (66,40), (67,43), (68,56), (69,16), (70,75), (71,36), (72,89), (73,98),
+  (74,76), (75,81), (76,4), (77,94), (78,42), (79,30), (80,78), (81,33),
+  (82,29), (83,53), (84,63), (85,2), (86,87), (87,37), (88,80), (89,84),
+  (90,72), (91,41), (92,9), (93,61), (94,73), (95,95), (96,65), (97,13),
+  (98,58), (99,96), (100,98), (101,1), (102,21), (103,74), (104,65), (105,35),
+  (106,5), (107,73), (108,11), (109,51), (110,87), (111,41), (112,12), (113,8),
+  (114,20), (115,31), (116,31), (117,15), (118,95), (119,22), (120,73), 
+  (121,79), (122,88), (123,34), (124,8), (125,11), (126,49), (127,34), 
+  (128,90), (129,59), (130,96), (131,60), (132,55), (133,75), (134,77),
+  (135,44), (136,2), (137,7), (138,85), (139,57), (140,74), (141,29), (142,70),
+  (143,59), (144,19), (145,39), (146,26), (147,26), (148,47), (149,80),
+  (150,90), (151,36), (152,58), (153,47), (154,9), (155,72), (156,72), (157,66),
+  (158,33), (159,93), (160,75), (161,64), (162,81), (163,9), (164,23), (165,37),
+  (166,13), (167,12), (168,14), (169,62), (170,91), (171,36), (172,91),
+  (173,33), (174,15), (175,34), (176,36), (177,99), (178,3), (179,95), (180,69),
+  (181,58), (182,52), (183,30), (184,50), (185,84), (186,10), (187,84),
+  (188,33), (189,21), (190,39), (191,44), (192,58), (193,30), (194,38),
+  (195,34), (196,83), (197,27), (198,82), (199,17), (200,7);
+}
+
+execsql_test 1.1 {
+  SELECT max(b) OVER (
+    ORDER BY a
+  ) FROM t2
+}
+
+foreach {tn window} {
+   1 "RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW"
+   2 "RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING"
+   3 "RANGE BETWEEN CURRENT ROW         AND CURRENT ROW"
+   4 "RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING"
+   5 "ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING"
+   6 "ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING"
+   7 "ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW"
+   8 "ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW"
+   9 "ROWS BETWEEN CURRENT ROW         AND CURRENT ROW"
+  10 "ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING"
+  11 "ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING"
+  12 "ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING"
+  13 "ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING"
+  14 "ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING"
+  15 "ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING"
+  16 "ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING"
+  17 "ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING"
+} {
+  execsql_test 1.2.1.$tn "SELECT max(b) OVER ( ORDER BY a $window ) FROM t2"
+  execsql_test 1.2.2.$tn "SELECT min(b) OVER ( ORDER BY a $window ) FROM t2"
+}
+
+finish_test
+
diff --git a/test/window3.test b/test/window3.test
new file mode 100644
index 0000000000..3ad02dce2b
--- /dev/null
+++ b/test/window3.test
@@ -0,0 +1,196 @@
+# 2018 May 31
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library.
+#
+
+####################################################
+# DO NOT EDIT! THIS FILE IS AUTOMATICALLY GENERATED!
+####################################################
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+set testprefix window3
+
+do_execsql_test 1.0 {
+  DROP TABLE IF EXISTS t2;
+  CREATE TABLE t2(a INTEGER PRIMARY KEY, b INTEGER);
+  INSERT INTO t2(a, b) VALUES
+  (1,0), (2,74), (3,41), (4,74), (5,23), (6,99), (7,26), (8,33), (9,2),
+  (10,89), (11,81), (12,96), (13,59), (14,38), (15,68), (16,39), (17,62),
+  (18,91), (19,46), (20,6), (21,99), (22,97), (23,27), (24,46), (25,78),
+  (26,54), (27,97), (28,8), (29,67), (30,29), (31,93), (32,84), (33,77),
+  (34,23), (35,16), (36,16), (37,93), (38,65), (39,35), (40,47), (41,7),
+  (42,86), (43,74), (44,61), (45,91), (46,85), (47,24), (48,85), (49,43),
+  (50,59), (51,12), (52,32), (53,56), (54,3), (55,91), (56,22), (57,90),
+  (58,55), (59,15), (60,28), (61,89), (62,25), (63,47), (64,1), (65,56),
+  (66,40), (67,43), (68,56), (69,16), (70,75), (71,36), (72,89), (73,98),
+  (74,76), (75,81), (76,4), (77,94), (78,42), (79,30), (80,78), (81,33),
+  (82,29), (83,53), (84,63), (85,2), (86,87), (87,37), (88,80), (89,84),
+  (90,72), (91,41), (92,9), (93,61), (94,73), (95,95), (96,65), (97,13),
+  (98,58), (99,96), (100,98), (101,1), (102,21), (103,74), (104,65), (105,35),
+  (106,5), (107,73), (108,11), (109,51), (110,87), (111,41), (112,12), (113,8),
+  (114,20), (115,31), (116,31), (117,15), (118,95), (119,22), (120,73), 
+  (121,79), (122,88), (123,34), (124,8), (125,11), (126,49), (127,34), 
+  (128,90), (129,59), (130,96), (131,60), (132,55), (133,75), (134,77),
+  (135,44), (136,2), (137,7), (138,85), (139,57), (140,74), (141,29), (142,70),
+  (143,59), (144,19), (145,39), (146,26), (147,26), (148,47), (149,80),
+  (150,90), (151,36), (152,58), (153,47), (154,9), (155,72), (156,72), (157,66),
+  (158,33), (159,93), (160,75), (161,64), (162,81), (163,9), (164,23), (165,37),
+  (166,13), (167,12), (168,14), (169,62), (170,91), (171,36), (172,91),
+  (173,33), (174,15), (175,34), (176,36), (177,99), (178,3), (179,95), (180,69),
+  (181,58), (182,52), (183,30), (184,50), (185,84), (186,10), (187,84),
+  (188,33), (189,21), (190,39), (191,44), (192,58), (193,30), (194,38),
+  (195,34), (196,83), (197,27), (198,82), (199,17), (200,7);
+} {}
+
+do_execsql_test 1.1 {
+  SELECT max(b) OVER (
+    ORDER BY a
+  ) FROM t2
+} {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.2.1.1 {
+  SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.2.2.1 {
+  SELECT min(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.2.1.2 {
+  SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.2.2.2 {
+  SELECT min(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.2.1.3 {
+  SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.2.2.3 {
+  SELECT min(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.2.1.4 {
+  SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
+
+do_execsql_test 1.2.2.4 {
+  SELECT min(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7}
+
+do_execsql_test 1.2.1.5 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.2.2.5 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.2.1.6 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   0   74   74   74   74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83}
+
+do_execsql_test 1.2.2.6 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   0   0   0   41   23   23   23   26   2   2   2   81   59   38   38   38   39   39   46   6   6   6   27   27   27   46   54   8   8   8   29   29   77   23   16   16   16   16   35   35   7   7   7   61   61   61   24   24   24   43   12   12   12   3   3   3   22   22   15   15   15   25   25   1   1   1   40   40   16   16   16   36   36   76   76   4   4   4   30   30   30   29   29   29   2   2   2   37   37   72   41   9   9   9   61   65   13   13   13   58   1   1   1   21   35   5   5   5   11   11   41   12   8   8   8   20   15   15   15   22   22   73   34   8   8   8   11   34   34   59   59   55   55   55   44   2   2   2   7   57   29   29   29   19   19   19   26   26   26   47   36   36   36   9   9   9   66   33   33   33   64   64   9   9   9   13   12   12   12   14   36   36   33   15   15   15   34   3   3   3   58   52   30   30   30   10   10   10   21   21   21   39   30   30   30   34   27   27}
+
+do_execsql_test 1.2.1.7 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.2.2.7 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.2.1.8 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   74   74   74   74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83}
+
+do_execsql_test 1.2.2.8 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   23   23   23   2   2   2   2   2   38   38   38   38   38   39   6   6   6   6   6   27   27   27   8   8   8   8   8   29   23   16   16   16   16   16   16   7   7   7   7   7   61   24   24   24   24   12   12   12   3   3   3   3   3   15   15   15   15   15   1   1   1   1   1   16   16   16   16   16   36   36   4   4   4   4   4   30   29   29   29   2   2   2   2   2   37   37   9   9   9   9   9   13   13   13   13   1   1   1   1   1   5   5   5   5   5   11   11   8   8   8   8   8   15   15   15   15   22   22   8   8   8   8   8   11   34   34   55   55   55   44   2   2   2   2   2   7   29   29   19   19   19   19   19   26   26   26   36   36   9   9   9   9   9   33   33   33   33   9   9   9   9   9   12   12   12   12   14   33   15   15   15   15   3   3   3   3   3   30   30   30   10   10   10   10   10   21   21   21   30   30   30   27   27   17   7}
+
+do_execsql_test 1.2.1.9 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.2.2.9 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.2.1.10 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.2.2.10 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.2.1.11 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {74   74   74   99   99   99   99   99   99   99   96   96   96   96   96   96   91   91   99   99   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   93   93   93   93   93   93   86   91   91   91   91   91   91   91   85   85   85   91   91   91   91   91   91   91   90   90   89   89   89   89   56   56   75   75   89   98   98   98   98   98   98   98   94   94   94   94   78   78   87   87   87   87   87   87   87   84   84   95   95   95   95   96   98   98   98   98   98   98   98   74   74   74   87   87   87   87   87   87   87   41   95   95   95   95   95   95   95   88   88   88   90   90   96   96   96   96   96   96   96   77   85   85   85   85   85   85   85   74   74   70   70   80   90   90   90   90   90   90   90   72   72   93   93   93   93   93   93   93   81   81   81   62   91   91   91   91   91   91   91   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   58   58   83   83   83   83   83   83   83}
+
+do_execsql_test 1.2.2.11 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   0   0   0   0   23   2   2   2   2   2   2   2   38   38   38   38   6   6   6   6   6   6   6   27   8   8   8   8   8   8   8   16   16   16   16   16   16   7   7   7   7   7   7   7   24   24   24   12   12   12   3   3   3   3   3   3   3   15   15   15   1   1   1   1   1   1   1   16   16   16   16   16   4   4   4   4   4   4   4   29   29   2   2   2   2   2   2   2   9   9   9   9   9   9   9   13   13   1   1   1   1   1   1   1   5   5   5   5   5   8   8   8   8   8   8   8   15   15   15   15   8   8   8   8   8   8   8   11   34   34   55   44   2   2   2   2   2   2   2   7   19   19   19   19   19   19   19   26   26   26   9   9   9   9   9   9   9   33   33   9   9   9   9   9   9   9   12   12   12   12   14   15   15   15   3   3   3   3   3   3   3   30   10   10   10   10   10   10   10   21   21   21   30   27   27   17   7   7   7}
+
+do_execsql_test 1.2.1.12 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83   82   82   17   7}
+
+do_execsql_test 1.2.2.12 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   23   23   23   2   2   2   2   2   38   38   38   38   38   39   6   6   6   6   6   27   27   27   8   8   8   8   8   29   23   16   16   16   16   16   16   7   7   7   7   7   61   24   24   24   24   12   12   12   3   3   3   3   3   15   15   15   15   15   1   1   1   1   1   16   16   16   16   16   36   36   4   4   4   4   4   30   29   29   29   2   2   2   2   2   37   37   9   9   9   9   9   13   13   13   13   1   1   1   1   1   5   5   5   5   5   11   11   8   8   8   8   8   15   15   15   15   22   22   8   8   8   8   8   11   34   34   55   55   55   44   2   2   2   2   2   7   29   29   19   19   19   19   19   26   26   26   36   36   9   9   9   9   9   33   33   33   33   9   9   9   9   9   12   12   12   12   14   33   15   15   15   15   3   3   3   3   3   30   30   30   10   10   10   10   10   21   21   21   30   30   30   27   27   17   7   7   7   7   7}
+
+do_execsql_test 1.2.1.13 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83   82   82   17   7   {}   {}}
+
+do_execsql_test 1.2.2.13 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {23   23   23   26   2   2   2   81   59   38   38   38   39   39   46   6   6   6   27   27   27   46   54   8   8   8   29   29   77   23   16   16   16   16   35   35   7   7   7   61   61   61   24   24   24   43   12   12   12   3   3   3   22   22   15   15   15   25   25   1   1   1   40   40   16   16   16   36   36   76   76   4   4   4   30   30   30   29   29   29   2   2   2   37   37   72   41   9   9   9   61   65   13   13   13   58   1   1   1   21   35   5   5   5   11   11   41   12   8   8   8   20   15   15   15   22   22   73   34   8   8   8   11   34   34   59   59   55   55   55   44   2   2   2   7   57   29   29   29   19   19   19   26   26   26   47   36   36   36   9   9   9   66   33   33   33   64   64   9   9   9   13   12   12   12   14   36   36   33   15   15   15   34   3   3   3   58   52   30   30   30   10   10   10   21   21   21   39   30   30   30   34   27   27   17   7   7   7   {}   {}}
+
+do_execsql_test 1.2.1.14 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.2.2.14 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.2.1.15 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83}
+
+do_execsql_test 1.2.2.15 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7}
+
+do_execsql_test 1.2.1.16 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
+
+do_execsql_test 1.2.2.16 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7}
+
+do_execsql_test 1.2.1.17 {
+  SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7   {}   {}   {}   {}}
+
+do_execsql_test 1.2.2.17 {
+  SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   {}   {}   {}   {}}
+
+finish_test

From f690b572067bd06d52bd850334e6114e74d62da3 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 1 Jun 2018 21:00:08 +0000
Subject: [PATCH 016/154] Allow an entire partition to be cached in a temp
 table for all types of window frames. This is required by nth_value() and
 others.

FossilOrigin-Name: b5b18f661341d8d450147e62d321791c706f16c0550bcd98eec3e0220c039189
---
 manifest      |  12 +--
 manifest.uuid |   2 +-
 src/window.c  | 267 ++++++++++++++++++++++++++++++++++++++++++--------
 3 files changed, 235 insertions(+), 46 deletions(-)

diff --git a/manifest b/manifest
index e6173ed2ce..34429f047a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Allow\smin()\sand\smax()\sto\sbe\sused\sas\swindow\sfunctions.
-D 2018-05-30T20:44:58.014
+C Allow\san\sentire\spartition\sto\sbe\scached\sin\sa\stemp\stable\sfor\sall\stypes\sof\swindow\nframes.\sThis\sis\srequired\sby\snth_value()\sand\sothers.
+D 2018-06-01T21:00:08.284
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 1f2b1590db468bde0ae2c53fe8b89f7a47afd8fd66a65a1385ffe6ce6f292279
+F src/window.c 59f519e2090a930b73f0789e44e481bf5a27d256d22ed74dee100ea14ad3bb02
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1736,7 +1736,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P e74c6e91859ec395c12ba2742542ff176a1d8364dcfb66b862240746bef54efc
-R c4e13ad00b1be186d1a741c62965ae01
+P c16125a884a9131b707ac20033968c4c3177ea79625a15efb64d754568c6c7a0
+R 3ad4cd9edcd57b310020dff4b3e91b5b
 U dan
-Z 73f6b911c1a6e43e389c2921969fdc8b
+Z 0764619e321410e8611ab0fa83a4bd79
diff --git a/manifest.uuid b/manifest.uuid
index adf1a6034d..b17b1d1123 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-c16125a884a9131b707ac20033968c4c3177ea79625a15efb64d754568c6c7a0
\ No newline at end of file
+b5b18f661341d8d450147e62d321791c706f16c0550bcd98eec3e0220c039189
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 2745a0d077..69efa05330 100644
--- a/src/window.c
+++ b/src/window.c
@@ -193,6 +193,59 @@ static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
   }
 }
 
+static void windowPartitionCache(
+  Parse *pParse,
+  Select *p,
+  WhereInfo *pWInfo,
+  int regFlushPart,
+  int lblFlushPart
+){
+  Window *pMWin = p->pWin;
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  Window *pWin;
+  int iSubCsr = p->pSrc->a[0].iCursor;
+  int nSub = p->pSrc->a[0].pTab->nCol;
+  int k;
+
+  int reg = pParse->nMem+1;
+  int regRecord = reg+nSub;
+  int regRowid = regRecord+1;
+
+  pParse->nMem += nSub + 2;
+
+  /* Martial the row returned by the sub-select into an array of 
+  ** registers. */
+  for(k=0; k<nSub; k++){
+    sqlite3VdbeAddOp3(v, OP_Column, iSubCsr, k, reg+k);
+  }
+  sqlite3VdbeAddOp3(v, OP_MakeRecord, reg, nSub, regRecord);
+
+  /* Check if this is the start of a new partition. If so, call the
+  ** flush_partition sub-routine.  */
+  if( pMWin->pPartition ){
+    int addr;
+    ExprList *pPart = pMWin->pPartition;
+    int nPart = (pPart ? pPart->nExpr : 0);
+    int regNewPart = reg + pMWin->nBufferCol;
+    KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pPart, 0, 0);
+
+    addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
+    sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+    sqlite3VdbeAddOp3(v, OP_Jump, addr+2, addr+4, addr+2);
+    sqlite3VdbeAddOp3(v, OP_Copy, regNewPart, pMWin->regPart, nPart-1);
+    sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
+  }
+
+  /* Buffer the current row in the ephemeral table. */
+  sqlite3VdbeAddOp2(v, OP_NewRowid, pMWin->iEphCsr, regRowid);
+  sqlite3VdbeAddOp3(v, OP_Insert, pMWin->iEphCsr, regRecord, regRowid);
+
+  /* End of the input loop */
+  sqlite3WhereEnd(pWInfo);
+
+  /* Invoke "flush_partition" to deal with the final (or only) partition */
+  sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
+}
 
 /*
 ** ROWS BETWEEN <expr1> PRECEDING AND <expr2> FOLLOWING
@@ -329,15 +382,13 @@ static void windowCodeRowExprStep(
   Vdbe *v = sqlite3GetVdbe(pParse);
   Window *pWin;
   int k;
-  int iSubCsr = p->pSrc->a[0].iCursor;
   int nSub = p->pSrc->a[0].pTab->nCol;
   int regFlushPart;               /* Register for "Gosub flush_partition" */
   int lblFlushPart;               /* Label for "Gosub flush_partition" */
   int lblFlushDone;               /* Label for "Gosub flush_partition_done" */
 
-  int reg = pParse->nMem+1;
-  int regRecord = reg+nSub;
-  int regRowid = regRecord+1;
+  int regArg;
+  int nArg;
   int addr;
   int csrStart = pParse->nTab++;
   int csrEnd = pParse->nTab++;
@@ -373,8 +424,6 @@ static void windowCodeRowExprStep(
     bRange = 1;
   }
 
-  pParse->nMem += nSub + 2;
-
   /* Allocate register and label for the "flush_partition" sub-routine. */
   regFlushPart = ++pParse->nMem;
   lblFlushPart = sqlite3VdbeMakeLabel(v);
@@ -383,37 +432,8 @@ static void windowCodeRowExprStep(
   regStart = ++pParse->nMem;
   regEnd = ++pParse->nMem;
 
-  /* Martial the row returned by the sub-select into an array of 
-  ** registers. */
-  for(k=0; k<nSub; k++){
-    sqlite3VdbeAddOp3(v, OP_Column, iSubCsr, k, reg+k);
-  }
-  sqlite3VdbeAddOp3(v, OP_MakeRecord, reg, nSub, regRecord);
+  windowPartitionCache(pParse, p, pWInfo, regFlushPart, lblFlushPart);
 
-  /* Check if this is the start of a new partition. If so, call the
-  ** flush_partition sub-routine.  */
-  if( pMWin->pPartition ){
-    ExprList *pPart = pMWin->pPartition;
-    int nPart = (pPart ? pPart->nExpr : 0);
-    int regNewPart = reg + pMWin->nBufferCol;
-    KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pPart, 0, 0);
-
-    addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
-    sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
-    sqlite3VdbeAddOp3(v, OP_Jump, addr+2, addr+4, addr+2);
-    sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
-    sqlite3VdbeAddOp3(v, OP_Copy, regNewPart, pMWin->regPart, nPart);
-  }
-
-  /* Buffer the current row in the ephemeral table. */
-  sqlite3VdbeAddOp2(v, OP_NewRowid, pMWin->iEphCsr, regRowid);
-  sqlite3VdbeAddOp3(v, OP_Insert, pMWin->iEphCsr, regRecord, regRowid);
-
-  /* End of the input loop */
-  sqlite3WhereEnd(pWInfo);
-
-  /* Invoke "flush_partition" to deal with the final (or only) partition */
-  sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
   addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
 
   /* Start of "flush_partition" */
@@ -443,9 +463,13 @@ static void windowCodeRowExprStep(
   }
 
   /* Initialize the accumulator register for each window function to NULL */
+  nArg = 0;
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
+    nArg = MAX(nArg, pWin->nArg);
   }
+  regArg = pParse->nMem+1;
+  pParse->nMem += nArg;
 
   sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr, lblFlushDone);
   sqlite3VdbeAddOp2(v, OP_Rewind, csrStart, lblFlushDone);
@@ -462,7 +486,7 @@ static void windowCodeRowExprStep(
   }
   sqlite3VdbeAddOp2(v, OP_Next, csrEnd, sqlite3VdbeCurrentAddr(v)+2);
   addr = sqlite3VdbeAddOp0(v, OP_Goto);
-  windowAggStep(pParse, pMWin, csrEnd, 0, reg);
+  windowAggStep(pParse, pMWin, csrEnd, 0, regArg);
   if( pMWin->eEnd==TK_UNBOUNDED ){
     sqlite3VdbeAddOp2(v, OP_Goto, 0, addrTop);
     sqlite3VdbeJumpHere(v, addr);
@@ -528,7 +552,7 @@ static void windowCodeRowExprStep(
       addrJumpHere = sqlite3VdbeAddOp0(v, OP_Goto);
     }
     sqlite3VdbeAddOp2(v, OP_Next, csrStart, sqlite3VdbeCurrentAddr(v)+1);
-    windowAggStep(pParse, pMWin, csrStart, 1, reg);
+    windowAggStep(pParse, pMWin, csrStart, 1, regArg);
     if( bRange ){
       sqlite3VdbeAddOp2(v, OP_Goto, 0, addrJumpHere-1);
     }
@@ -550,6 +574,146 @@ static void windowCodeRowExprStep(
   sqlite3VdbeJumpHere(v, addrGoto);
 }
 
+/*
+** RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+**
+**   flush_partition:
+**     Once {
+**       OpenDup (iEphCsr -> csrLead)
+**     }
+**     Integer ctr 0
+**     foreach row (csrLead){
+**       if( new peer ){
+**         AggFinal (xValue)
+**         for(i=0; i<ctr; i++){
+**           Gosub addrGosub
+**           Next iEphCsr
+**         }
+**         Integer ctr 0
+**       }
+**       AggStep (csrLead)
+**       Incr ctr
+**     }
+**
+**     AggFinal (xFinalize)
+**     for(i=0; i<ctr; i++){
+**       Gosub addrGosub
+**       Next iEphCsr
+**     }
+**
+**     ResetSorter (csr)
+**     Return
+**
+** ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+** RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+** RANGE BETWEEN CURRENT ROW AND CURRENT ROW 
+**
+**   TODO.
+*/
+static void windowCodeCacheStep(
+  Parse *pParse, 
+  Select *p,
+  WhereInfo *pWInfo,
+  int regGosub, 
+  int addrGosub
+){
+  Window *pMWin = p->pWin;
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  Window *pWin;
+  int k;
+  int addr;
+  ExprList *pPart = pMWin->pPartition;
+  ExprList *pOrderBy = pMWin->pOrderBy;
+  int nPeer = pOrderBy->nExpr;
+  int regNewPeer;
+
+  int addrGoto;                   /* Address of Goto used to jump flush_par.. */
+  int addrRewind;                 /* Address of Rewind that starts loop */
+  int regFlushPart;
+  int lblFlushPart;
+  int csrLead;
+  int regCtr;
+  int regArg;                     /* Register array to martial function args */
+  int nArg;
+
+  assert( (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_CURRENT) 
+  );
+
+  regNewPeer = pParse->nMem+1;
+  pParse->nMem += nPeer;
+
+  /* Allocate register and label for the "flush_partition" sub-routine. */
+  regFlushPart = ++pParse->nMem;
+  lblFlushPart = sqlite3VdbeMakeLabel(v);
+
+  csrLead = pParse->nTab++;
+  regCtr = ++pParse->nMem;
+
+  windowPartitionCache(pParse, p, pWInfo, regFlushPart, lblFlushPart);
+  addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
+
+  /* Start of "flush_partition" */
+  sqlite3VdbeResolveLabel(v, lblFlushPart);
+  sqlite3VdbeAddOp2(v, OP_Once, 0, sqlite3VdbeCurrentAddr(v)+2);
+  sqlite3VdbeAddOp2(v, OP_OpenDup, csrLead, pMWin->iEphCsr);
+
+  /* Initialize the accumulator register for each window function to NULL */
+  nArg = 0;
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
+    nArg = MAX(nArg, pWin->nArg);
+  }
+  regArg = pParse->nMem+1;
+  pParse->nMem += nArg;
+
+  sqlite3VdbeAddOp2(v, OP_Integer, 0, regCtr);
+  addrRewind = sqlite3VdbeAddOp1(v, OP_Rewind, csrLead);
+  sqlite3VdbeAddOp1(v, OP_Rewind, pMWin->iEphCsr);
+
+  if( pOrderBy ){
+    int addrJump;                 /* Address of OP_Jump below */
+    int iOff = pMWin->nBufferCol + (pPart ? pPart->nExpr : 0);
+    int regPeer = pMWin->regPart + (pPart ? pPart->nExpr : 0);
+    KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pOrderBy, 0, 0);
+
+    for(k=0; k<nPeer; k++){
+      sqlite3VdbeAddOp3(v, OP_Column, csrLead, iOff+k, regNewPeer+k);
+    }
+
+    addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
+    sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+    addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+    sqlite3VdbeAddOp3(v, OP_Copy, regNewPeer, regPeer, nPeer-1);
+    windowAggFinal(pParse, pMWin, 0);
+    sqlite3VdbeAddOp3(v, OP_IfPos, regCtr, sqlite3VdbeCurrentAddr(v)+2 , 1);
+    sqlite3VdbeAddOp2(v, OP_Goto, 0, sqlite3VdbeCurrentAddr(v)+3);
+    sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+    sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)-3);
+    sqlite3VdbeJumpHere(v, addrJump);
+  }
+
+  windowAggStep(pParse, pMWin, csrLead, 0, regArg);
+  sqlite3VdbeAddOp2(v, OP_AddImm, regCtr, 1);
+
+  sqlite3VdbeAddOp2(v, OP_Next, csrLead, addrRewind+2);
+
+  windowAggFinal(pParse, pMWin, 1);
+
+  sqlite3VdbeAddOp3(v, OP_IfPos, regCtr, sqlite3VdbeCurrentAddr(v)+2 , 1);
+  sqlite3VdbeAddOp2(v, OP_Goto, 0, sqlite3VdbeCurrentAddr(v)+3);
+  sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+  sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)-3);
+
+  sqlite3VdbeJumpHere(v, addrRewind);
+  sqlite3VdbeJumpHere(v, addrRewind+1);
+  sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
+  sqlite3VdbeAddOp1(v, OP_Return, regFlushPart);
+
+  /* Jump to here to skip over flush_partition */
+  sqlite3VdbeJumpHere(v, addrGoto);
+}
+
+
 /*
 ** RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
 **
@@ -569,6 +733,20 @@ static void windowCodeRowExprStep(
 **   sqlite3WhereEnd()
 **   AggFinal (xFinalize)
 **   Gosub addrGosub
+**
+** RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+**
+**   As above, except take no action for a "new peer". Invoke
+**   the sub-routine once only for each partition.
+**
+** RANGE BETWEEN CURRENT ROW AND CURRENT ROW
+**
+**   As above, except that the "new peer" condition is handled in the
+**   same way as "new partition" (so there is no "else if" block).
+**
+** ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+** 
+**   As above, except assume every row is a "new peer".
 */
 static void windowCodeDefaultStep(
   Parse *pParse, 
@@ -742,15 +920,26 @@ void sqlite3WindowCodeStep(
 ){
   Window *pMWin = p->pWin;
 
+  *pbLoop = 0;
   if( (pMWin->eType==TK_ROWS 
    && (pMWin->eStart!=TK_UNBOUNDED||pMWin->eEnd!=TK_CURRENT||!pMWin->pOrderBy))
    || (pMWin->eStart==TK_CURRENT&&pMWin->eEnd==TK_UNBOUNDED&&pMWin->pOrderBy)
   ){
-    *pbLoop = 0;
     windowCodeRowExprStep(pParse, p, pWInfo, regGosub, addrGosub);
     return;
   }
 
+#if 0
+  if( pMWin->eType==TK_RANGE
+   && pMWin->eStart==TK_UNBOUNDED
+   && pMWin->eEnd==TK_CURRENT
+   && pMWin->pOrderBy
+  ){
+    windowCodeCacheStep(pParse, p, pWInfo, regGosub, addrGosub);
+    return;
+  }
+#endif
+
   *pbLoop = 1;
   windowCodeDefaultStep(pParse, p, pWInfo, regGosub, addrGosub);
 }

From dfa552f45be381ec1834573e6a94eccea728de2c Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 2 Jun 2018 21:04:28 +0000
Subject: [PATCH 017/154] Add support for window functions row_number(),
 rank(), dense_rank() and percent_rank().

FossilOrigin-Name: 91c1cb7a217d0991a08256269f6c55ef185c25362d57b36bfbd2d85dab38e58f
---
 manifest          |   24 +-
 manifest.uuid     |    2 +-
 src/func.c        |    1 +
 src/resolve.c     |    1 +
 src/select.c      |  215 +------
 src/sqliteInt.h   |    8 +-
 src/window.c      |  440 ++++++++++++-
 test/window3.tcl  |   90 ++-
 test/window3.test | 1562 ++++++++++++++++++++++++++++++++++++++++++++-
 9 files changed, 2069 insertions(+), 274 deletions(-)

diff --git a/manifest b/manifest
index 34429f047a..f65ebdb4f1 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Allow\san\sentire\spartition\sto\sbe\scached\sin\sa\stemp\stable\sfor\sall\stypes\sof\swindow\nframes.\sThis\sis\srequired\sby\snth_value()\sand\sothers.
-D 2018-06-01T21:00:08.284
+C Add\ssupport\sfor\swindow\sfunctions\srow_number(),\srank(),\sdense_rank()\sand\npercent_rank().
+D 2018-06-02T21:04:28.694
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -449,7 +449,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c bb57b0b5ba1351335091ce4ec43b40968746f03afd65c9e2920d7cbe4dc98133
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c d617daf66b5515e2b42c1405b2b4984c30ca50fb705ab164271a9bf66c69e331
-F src/func.c eff9c15696cda3485df3ae52ce3663692a2cd506fba63a5f49f56cb204831021
+F src/func.c 4bee7609e4a736554d3d29db9ced9f4aacb1c81ab1c19e1d02451c647afa692b
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -492,14 +492,14 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c 95a9dba7a5d032039a77775188cb3b6fb17f2fa1a0b7cd915b30b4b823383ffa
 F src/printf.c 1d1b4a568a58d0f32a5ff26c6b98db8a6e1883467f343a6406263cacd2e60c21
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c 446f60b2e0d2440bb233d6a69a4ed0f2ad030a4e63ac4b3cfc0e98cf73d9c5a3
+F src/resolve.c 6b62d3427e642c9b275bf25b0239b7fb941bf00b059edb0e55b35f6c789c7259
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 8a7f842a049a3407079e0b0748de916dcd91c00377394b2e8b1aefc5972a0b2f
+F src/select.c 3ba9808f63c7e8e23903b85008f84df15d86da68730840521cbf04dec2f89883
 F src/shell.c.in 51c100206f4b7f86cd9affd80b764825e0edc36ca0190c442e4ca7994611bfe2
 F src/sqlite.h.in e379906b85cc3539c6a37ab972f2c28711b28854a457f54e137d20f75db5db7c
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h daa86b28d3c73ddd8f73bbb24ee8067f7de901fca04ff44816e3a36f4f4a94f8
+F src/sqliteInt.h 777f048d4590801f421ff78e51d5b76ff4e9aa9de19dedfeccb309ff6a1559a0
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 59f519e2090a930b73f0789e44e481bf5a27d256d22ed74dee100ea14ad3bb02
+F src/window.c 014c6c7ae0242f16ba9453d2c9272753b8d20af08d4f1c6d040a6f87dbc55055
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1618,8 +1618,8 @@ F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl d17eda13ef009ff447e3886c8b82d391d39a27bfc93bef5e447fb399e65e03a2
-F test/window3.test ce345cb0b9b7691d1b686e171ff00e8642ad710d5cd60029220a916b4858c27c
+F test/window3.tcl 27a34216e6e9b94307faa146285ef97e23bec57e05787064e17669fb8e276b29
+F test/window3.test d8975dfd7a3ac4d67f18c9d288ff7c46f6d0461fff4290414fcbd62027e8ac03
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1736,7 +1736,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P c16125a884a9131b707ac20033968c4c3177ea79625a15efb64d754568c6c7a0
-R 3ad4cd9edcd57b310020dff4b3e91b5b
+P b5b18f661341d8d450147e62d321791c706f16c0550bcd98eec3e0220c039189
+R 936d5c4f2319457074a03c8e7558fedb
 U dan
-Z 0764619e321410e8611ab0fa83a4bd79
+Z 37caf2da8db60907c2ea55a56e1b5065
diff --git a/manifest.uuid b/manifest.uuid
index b17b1d1123..2be45d3e86 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-b5b18f661341d8d450147e62d321791c706f16c0550bcd98eec3e0220c039189
\ No newline at end of file
+91c1cb7a217d0991a08256269f6c55ef185c25362d57b36bfbd2d85dab38e58f
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index c5836f55f1..e82652011d 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1923,6 +1923,7 @@ void sqlite3RegisterBuiltinFunctions(void){
 #ifndef SQLITE_OMIT_ALTERTABLE
   sqlite3AlterFunctions();
 #endif
+  sqlite3WindowFunctions();
 #if defined(SQLITE_ENABLE_STAT3) || defined(SQLITE_ENABLE_STAT4)
   sqlite3AnalyzeFunctions();
 #endif
diff --git a/src/resolve.c b/src/resolve.c
index 99472272fc..84baf01ab7 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -776,6 +776,7 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
       sqlite3WalkExprList(pWalker, pList);
       if( is_agg ){
         if( pExpr->pWin ){
+          sqlite3WindowUpdate(pParse, pExpr->pWin, pDef);
           if( 0==pNC->pWin 
            || 0==sqlite3WindowCompare(pParse, pNC->pWin, pExpr->pWin) 
           ){
diff --git a/src/select.c b/src/select.c
index bff5d36b54..d255aaa7a3 100644
--- a/src/select.c
+++ b/src/select.c
@@ -4583,7 +4583,7 @@ static void selectPopWith(Walker *pWalker, Select *p){
 #define selectPopWith 0
 #endif
 
-static int selectExpandSubquery(Parse *pParse, struct SrcList_item *pFrom){
+int sqlite3ExpandSubquery(Parse *pParse, struct SrcList_item *pFrom){
   Select *pSel = pFrom->pSelect;
   Table *pTab;
 
@@ -4676,7 +4676,7 @@ static int selectExpander(Walker *pWalker, Select *p){
       assert( pSel!=0 );
       assert( pFrom->pTab==0 );
       if( sqlite3WalkSelect(pWalker, pSel) ) return WRC_Abort;
-      if( selectExpandSubquery(pParse, pFrom) ) return WRC_Abort;
+      if( sqlite3ExpandSubquery(pParse, pFrom) ) return WRC_Abort;
 #endif
     }else{
       /* An ordinary table or view name in the FROM clause */
@@ -5379,209 +5379,6 @@ static int countOfViewOptimization(Parse *pParse, Select *p){
 }
 #endif /* SQLITE_COUNTOFVIEW_OPTIMIZATION */
 
-typedef struct WindowRewrite WindowRewrite;
-struct WindowRewrite {
-  Window *pWin;
-  ExprList *pSub;
-};
-
-static int selectWindowRewriteSelectCb(Walker *pWalker, Select *pSelect){
-  return WRC_Prune;
-}
-
-static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
-  struct WindowRewrite *p = pWalker->u.pRewrite;
-  Parse *pParse = pWalker->pParse;
-
-  switch( pExpr->op ){
-
-    case TK_FUNCTION:
-      if( pExpr->pWin==0 ){
-        break;
-      }else{
-        Window *pWin;
-        for(pWin=p->pWin; pWin; pWin=pWin->pNextWin){
-          if( pExpr->pWin==pWin ){
-            pExpr->pWin->pOwner = pExpr;
-            return WRC_Prune;
-          }
-        }
-      }
-      /* Fall through.  */
-
-    case TK_COLUMN: {
-      Expr *pDup = sqlite3ExprDup(pParse->db, pExpr, 0);
-      p->pSub = sqlite3ExprListAppend(pParse, p->pSub, pDup);
-      if( p->pSub ){
-        assert( ExprHasProperty(pExpr, EP_Static)==0 );
-        ExprSetProperty(pExpr, EP_Static);
-        sqlite3ExprDelete(pParse->db, pExpr);
-        ExprClearProperty(pExpr, EP_Static);
-        memset(pExpr, 0, sizeof(Expr));
-
-        pExpr->op = TK_COLUMN;
-        pExpr->iColumn = p->pSub->nExpr-1;
-        pExpr->iTable = p->pWin->iEphCsr;
-      }
-
-      break;
-    }
-
-    default: /* no-op */
-      break;
-  }
-
-  return WRC_Continue;
-}
-
-static int selectWindowRewriteEList(
-  Parse *pParse, 
-  Window *pWin,
-  ExprList *pEList,               /* Rewrite expressions in this list */
-  ExprList **ppSub                /* IN/OUT: Sub-select expression-list */
-){
-  Walker sWalker;
-  WindowRewrite sRewrite;
-  int rc;
-
-  memset(&sWalker, 0, sizeof(Walker));
-  memset(&sRewrite, 0, sizeof(WindowRewrite));
-
-  sRewrite.pSub = *ppSub;
-  sRewrite.pWin = pWin;
-
-  sWalker.pParse = pParse;
-  sWalker.xExprCallback = selectWindowRewriteExprCb;
-  sWalker.xSelectCallback = selectWindowRewriteSelectCb;
-  sWalker.u.pRewrite = &sRewrite;
-
-  rc = sqlite3WalkExprList(&sWalker, pEList);
-
-  *ppSub = sRewrite.pSub;
-  return rc;
-}
-
-static ExprList *exprListAppendList(
-  Parse *pParse,          /* Parsing context */
-  ExprList *pList,        /* List to which to append. Might be NULL */
-  ExprList *pAppend       /* List of values to append. Might be NULL */
-){
-  if( pAppend ){
-    int i;
-    int nInit = pList ? pList->nExpr : 0;
-    for(i=0; i<pAppend->nExpr; i++){
-      Expr *pDup = sqlite3ExprDup(pParse->db, pAppend->a[i].pExpr, 0);
-      pList = sqlite3ExprListAppend(pParse, pList, pDup);
-      if( pList ) pList->a[nInit+i].sortOrder = pAppend->a[i].sortOrder;
-    }
-  }
-  return pList;
-}
-
-/*
-** If the SELECT statement passed as the second argument does not invoke
-** any SQL window functions, this function is a no-op. Otherwise, it 
-** rewrites the SELECT statement so that window function xStep functions
-** are invoked in the correct order. The simplest version of the 
-** transformation is:
-**
-**   SELECT win(args...) OVER (<list1>) FROM <src> ORDER BY <list2>
-**
-** to
-**
-**   SELECT win(args...) FROM (
-**     SELECT args... FROM <src> ORDER BY <list1>
-**   ) ORDER BY <list2>
-**
-** where <src> may contain WHERE, GROUP BY and HAVING clauses, and <list1>
-** is the concatenation of the PARTITION BY and ORDER BY clauses in the
-** OVER clause.
-**
-*/
-static int selectWindowRewrite(Parse *pParse, Select *p){
-  int rc = SQLITE_OK;
-  if( p->pWin ){
-    Vdbe *v = sqlite3GetVdbe(pParse);
-    int i;
-    sqlite3 *db = pParse->db;
-    Select *pSub = 0;             /* The subquery */
-    SrcList *pSrc = p->pSrc;
-    Expr *pWhere = p->pWhere;
-    ExprList *pGroupBy = p->pGroupBy;
-    Expr *pHaving = p->pHaving;
-    ExprList *pSort = 0;
-
-    ExprList *pSublist = 0;       /* Expression list for sub-query */
-    Window *pMWin = p->pWin;      /* Master window object */
-    Window *pWin;                 /* Window object iterator */
-
-    p->pSrc = 0;
-    p->pWhere = 0;
-    p->pGroupBy = 0;
-    p->pHaving = 0;
-
-    /* Assign a cursor number for the ephemeral table used to buffer rows.
-    ** The OpenEphemeral instruction is coded later, after it is known how
-    ** many columns the table will have.  */
-    pMWin->iEphCsr = pParse->nTab++;
-
-    rc = selectWindowRewriteEList(pParse, pMWin, p->pEList, &pSublist);
-    if( rc ) return rc;
-    rc = selectWindowRewriteEList(pParse, pMWin, p->pOrderBy, &pSublist);
-    if( rc ) return rc;
-    pMWin->nBufferCol = (pSublist ? pSublist->nExpr : 0);
-
-    /* Create the ORDER BY clause for the sub-select. This is the concatenation
-    ** of the window PARTITION and ORDER BY clauses. Append the same 
-    ** expressions to the sub-select expression list. They are required to
-    ** figure out where boundaries for partitions and sets of peer rows.  */
-    pSort = sqlite3ExprListDup(db, pMWin->pPartition, 0);
-    if( pMWin->pOrderBy ){
-      pSort = exprListAppendList(pParse, pSort, pMWin->pOrderBy);
-    }
-    pSublist = exprListAppendList(pParse, pSublist, pSort);
-
-    /* Append the arguments passed to each window function to the
-    ** sub-select expression list. Also allocate two registers for each
-    ** window function - one for the accumulator, another for interim
-    ** results.  */
-    for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-      pWin->iArgCol = (pSublist ? pSublist->nExpr : 0);
-      pSublist = exprListAppendList(pParse, pSublist, pWin->pOwner->x.pList);
-      pWin->regAccum = ++pParse->nMem;
-      pWin->regResult = ++pParse->nMem;
-      sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
-    }
-
-    pSub = sqlite3SelectNew(
-        pParse, pSublist, pSrc, pWhere, pGroupBy, pHaving, pSort, 0, 0
-    );
-    p->pSrc = sqlite3SrcListAppend(db, 0, 0, 0);
-    if( p->pSrc ){
-      int iTab;
-      ExprList *pList = 0;
-      p->pSrc->a[0].pSelect = pSub;
-      sqlite3SrcListAssignCursors(pParse, p->pSrc);
-      if( selectExpandSubquery(pParse, &p->pSrc->a[0]) ){
-        rc = SQLITE_NOMEM;
-      }else{
-        pSub->selFlags |= SF_Expanded;
-      }
-    }
-
-#if SELECTTRACE_ENABLED
-    if( sqlite3SelectTrace & 0x108 ){
-      SELECTTRACE(0x104,pParse,p, ("after window rewrite:\n"));
-      sqlite3TreeViewSelect(0, p, 0);
-    }
-#endif
-
-    sqlite3VdbeAddOp2(v, OP_OpenEphemeral, pMWin->iEphCsr, pSublist->nExpr);
-  }
-
-  return rc;
-}
-
 /*
 ** Generate code for the SELECT statement given in the p argument.  
 **
@@ -5666,9 +5463,15 @@ int sqlite3Select(
     generateColumnNames(pParse, p);
   }
 
-  if( (rc = selectWindowRewrite(pParse, p)) ){
+  if( (rc = sqlite3WindowRewrite(pParse, p)) ){
     goto select_end;
   }
+#if SELECTTRACE_ENABLED
+  if( sqlite3SelectTrace & 0x108 ){
+    SELECTTRACE(0x104,pParse,p, ("after window rewrite:\n"));
+    sqlite3TreeViewSelect(0, p, 0);
+  }
+#endif
   pTabList = p->pSrc;
 
   /* Try to various optimizations (flattening subqueries, and strength
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 6835c45367..5826342de8 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -1584,7 +1584,7 @@ struct sqlite3 {
 */
 struct FuncDef {
   i8 nArg;             /* Number of arguments.  -1 means unlimited */
-  u16 funcFlags;       /* Some combination of SQLITE_FUNC_* */
+  u32 funcFlags;       /* Some combination of SQLITE_FUNC_* */
   void *pUserData;     /* User data parameter */
   FuncDef *pNext;      /* Next function with same name */
   void (*xSFunc)(sqlite3_context*,int,sqlite3_value**); /* func or agg-step */
@@ -1647,6 +1647,8 @@ struct FuncDestructor {
                                     ** single query - might change over time */
 #define SQLITE_FUNC_AFFINITY 0x4000 /* Built-in affinity() function */
 #define SQLITE_FUNC_OFFSET   0x8000 /* Built-in sqlite_offset() function */
+#define SQLITE_FUNC_WINDOW  0x10000 /* Built-in window-only function */
+#define SQLITE_FUNC_WINDOW_SIZE  0x20000
 
 /*
 ** The following three macros, FUNCTION(), LIKEFUNC() and AGGREGATE() are
@@ -3501,6 +3503,9 @@ void sqlite3WindowAttach(Parse*, Expr*, Window*);
 int sqlite3WindowCompare(Parse*, Window*, Window*);
 void sqlite3WindowCodeInit(Parse*, Window*);
 void sqlite3WindowCodeStep(Parse*, Select*, WhereInfo*, int, int, int*);
+int sqlite3WindowRewrite(Parse*, Select*);
+int sqlite3ExpandSubquery(Parse*, struct SrcList_item*);
+void sqlite3WindowUpdate(Parse*, Window*, FuncDef*);
 
 /*
 ** Assuming zIn points to the first byte of a UTF-8 character,
@@ -4175,6 +4180,7 @@ extern sqlite3_uint64 sqlite3NProfileCnt;
 void sqlite3RootPageMoved(sqlite3*, int, int, int);
 void sqlite3Reindex(Parse*, Token*, Token*);
 void sqlite3AlterFunctions(void);
+void sqlite3WindowFunctions(void);
 void sqlite3AlterRenameTable(Parse*, SrcList*, Token*);
 int sqlite3GetToken(const unsigned char *, int *);
 void sqlite3NestedParse(Parse*, const char*, ...);
diff --git a/src/window.c b/src/window.c
index 69efa05330..a3ef51e943 100644
--- a/src/window.c
+++ b/src/window.c
@@ -11,6 +11,400 @@
 */
 #include "sqliteInt.h"
 
+/*
+** Implementation of built-in window function row_number(). Assumes that the
+** window frame has been coerced to:
+**
+**   ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+*/
+static void row_numberStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+  i64 *p = (i64*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ) (*p)++;
+}
+static void row_numberInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void row_numberValueFunc(sqlite3_context *pCtx){
+  i64 *p = (i64*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  sqlite3_result_int64(pCtx, (p ? *p : 0));
+}
+
+/*
+** Context object type used by rank() and dense_rank().
+*/
+struct CallCount {
+  i64 nValue;
+  i64 nStep;
+  i64 nTotal;
+};
+
+/*
+** Implementation of built-in window function dense_rank().
+*/
+static void dense_rankStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+  struct CallCount *p;
+  p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ) p->nStep = 1;
+}
+static void dense_rankInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void dense_rankValueFunc(sqlite3_context *pCtx){
+  struct CallCount *p;
+  p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    if( p->nStep ){
+      p->nValue++;
+      p->nStep = 0;
+    }
+    sqlite3_result_int64(pCtx, p->nValue);
+  }
+}
+
+/*
+** Implementation of built-in window function rank().
+*/
+static void rankStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+  struct CallCount *p;
+  p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    p->nStep++;
+    if( p->nValue==0 ){
+      p->nValue = p->nStep;
+    }
+  }
+}
+static void rankInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void rankValueFunc(sqlite3_context *pCtx){
+  struct CallCount *p;
+  p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    sqlite3_result_int64(pCtx, p->nValue);
+    p->nValue = 0;
+  }
+}
+
+/*
+** Implementation of built-in window function percent_rank().
+*/
+static void percent_rankStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+  struct CallCount *p;
+  assert( nArg==1 );
+
+  p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    if( p->nTotal==0 ){
+      p->nTotal = sqlite3_value_int64(apArg[0]);
+    }
+    p->nStep++;
+    if( p->nValue==0 ){
+      p->nValue = p->nStep;
+    }
+  }
+}
+static void percent_rankInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void percent_rankValueFunc(sqlite3_context *pCtx){
+  struct CallCount *p;
+  p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    if( p->nTotal>1 ){
+      double r = (double)(p->nValue-1) / (double)(p->nTotal-1);
+      sqlite3_result_double(pCtx, r);
+    }else{
+      sqlite3_result_double(pCtx, 100.0);
+    }
+    p->nValue = 0;
+  }
+}
+
+static void nth_valueStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void nth_valueInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void nth_valueValueFunc(sqlite3_context *pCtx){
+}
+
+#define WINDOWFUNC(name,nArg,extra) {                                      \
+  nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
+  name ## StepFunc, name ## ValueFunc, name ## ValueFunc,                  \
+  name ## InverseFunc, #name                                               \
+}
+
+/*
+** Register those built-in window functions that are not also aggregates.
+*/
+void sqlite3WindowFunctions(void){
+  static FuncDef aWindowFuncs[] = {
+    WINDOWFUNC(row_number, 0, 0),
+    WINDOWFUNC(dense_rank, 0, 0),
+    WINDOWFUNC(rank, 0, 0),
+    WINDOWFUNC(percent_rank, 0, SQLITE_FUNC_WINDOW_SIZE),
+    WINDOWFUNC(nth_value, 2, 0),
+  };
+  sqlite3InsertBuiltinFuncs(aWindowFuncs, ArraySize(aWindowFuncs));
+}
+
+void sqlite3WindowUpdate(Parse *pParse, Window *pWin, FuncDef *pFunc){
+  if( pFunc->funcFlags & SQLITE_FUNC_WINDOW ){
+    sqlite3 *db = pParse->db;
+    if( pFunc->xSFunc==row_numberStepFunc ){
+      sqlite3ExprDelete(db, pWin->pStart);
+      sqlite3ExprDelete(db, pWin->pEnd);
+      pWin->pStart = pWin->pEnd = 0;
+      pWin->eType = TK_ROWS;
+      pWin->eStart = TK_UNBOUNDED;
+      pWin->eEnd = TK_CURRENT;
+    }
+
+    if( pFunc->xSFunc==dense_rankStepFunc || pFunc->xSFunc==rankStepFunc
+     || pFunc->xSFunc==percent_rankStepFunc
+    ){
+      sqlite3ExprDelete(db, pWin->pStart);
+      sqlite3ExprDelete(db, pWin->pEnd);
+      pWin->pStart = pWin->pEnd = 0;
+      pWin->eType = TK_RANGE;
+      pWin->eStart = TK_UNBOUNDED;
+      pWin->eEnd = TK_CURRENT;
+    }
+  }
+}
+
+typedef struct WindowRewrite WindowRewrite;
+struct WindowRewrite {
+  Window *pWin;
+  ExprList *pSub;
+};
+
+static int selectWindowRewriteSelectCb(Walker *pWalker, Select *pSelect){
+  return WRC_Prune;
+}
+
+static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
+  struct WindowRewrite *p = pWalker->u.pRewrite;
+  Parse *pParse = pWalker->pParse;
+
+  switch( pExpr->op ){
+
+    case TK_FUNCTION:
+      if( pExpr->pWin==0 ){
+        break;
+      }else{
+        Window *pWin;
+        for(pWin=p->pWin; pWin; pWin=pWin->pNextWin){
+          if( pExpr->pWin==pWin ){
+            pExpr->pWin->pOwner = pExpr;
+            return WRC_Prune;
+          }
+        }
+      }
+      /* Fall through.  */
+
+    case TK_COLUMN: {
+      Expr *pDup = sqlite3ExprDup(pParse->db, pExpr, 0);
+      p->pSub = sqlite3ExprListAppend(pParse, p->pSub, pDup);
+      if( p->pSub ){
+        assert( ExprHasProperty(pExpr, EP_Static)==0 );
+        ExprSetProperty(pExpr, EP_Static);
+        sqlite3ExprDelete(pParse->db, pExpr);
+        ExprClearProperty(pExpr, EP_Static);
+        memset(pExpr, 0, sizeof(Expr));
+
+        pExpr->op = TK_COLUMN;
+        pExpr->iColumn = p->pSub->nExpr-1;
+        pExpr->iTable = p->pWin->iEphCsr;
+      }
+
+      break;
+    }
+
+    default: /* no-op */
+      break;
+  }
+
+  return WRC_Continue;
+}
+
+static int selectWindowRewriteEList(
+  Parse *pParse, 
+  Window *pWin,
+  ExprList *pEList,               /* Rewrite expressions in this list */
+  ExprList **ppSub                /* IN/OUT: Sub-select expression-list */
+){
+  Walker sWalker;
+  WindowRewrite sRewrite;
+  int rc;
+
+  memset(&sWalker, 0, sizeof(Walker));
+  memset(&sRewrite, 0, sizeof(WindowRewrite));
+
+  sRewrite.pSub = *ppSub;
+  sRewrite.pWin = pWin;
+
+  sWalker.pParse = pParse;
+  sWalker.xExprCallback = selectWindowRewriteExprCb;
+  sWalker.xSelectCallback = selectWindowRewriteSelectCb;
+  sWalker.u.pRewrite = &sRewrite;
+
+  rc = sqlite3WalkExprList(&sWalker, pEList);
+
+  *ppSub = sRewrite.pSub;
+  return rc;
+}
+
+static ExprList *exprListAppendList(
+  Parse *pParse,          /* Parsing context */
+  ExprList *pList,        /* List to which to append. Might be NULL */
+  ExprList *pAppend       /* List of values to append. Might be NULL */
+){
+  if( pAppend ){
+    int i;
+    int nInit = pList ? pList->nExpr : 0;
+    for(i=0; i<pAppend->nExpr; i++){
+      Expr *pDup = sqlite3ExprDup(pParse->db, pAppend->a[i].pExpr, 0);
+      pList = sqlite3ExprListAppend(pParse, pList, pDup);
+      if( pList ) pList->a[nInit+i].sortOrder = pAppend->a[i].sortOrder;
+    }
+  }
+  return pList;
+}
+
+/*
+** If the SELECT statement passed as the second argument does not invoke
+** any SQL window functions, this function is a no-op. Otherwise, it 
+** rewrites the SELECT statement so that window function xStep functions
+** are invoked in the correct order. The simplest version of the 
+** transformation is:
+**
+**   SELECT win(args...) OVER (<list1>) FROM <src> ORDER BY <list2>
+**
+** to
+**
+**   SELECT win(args...) FROM (
+**     SELECT args... FROM <src> ORDER BY <list1>
+**   ) ORDER BY <list2>
+**
+** where <src> may contain WHERE, GROUP BY and HAVING clauses, and <list1>
+** is the concatenation of the PARTITION BY and ORDER BY clauses in the
+** OVER clause.
+**
+*/
+int sqlite3WindowRewrite(Parse *pParse, Select *p){
+  int rc = SQLITE_OK;
+  if( p->pWin ){
+    Vdbe *v = sqlite3GetVdbe(pParse);
+    int i;
+    sqlite3 *db = pParse->db;
+    Select *pSub = 0;             /* The subquery */
+    SrcList *pSrc = p->pSrc;
+    Expr *pWhere = p->pWhere;
+    ExprList *pGroupBy = p->pGroupBy;
+    Expr *pHaving = p->pHaving;
+    ExprList *pSort = 0;
+
+    ExprList *pSublist = 0;       /* Expression list for sub-query */
+    Window *pMWin = p->pWin;      /* Master window object */
+    Window *pWin;                 /* Window object iterator */
+
+    p->pSrc = 0;
+    p->pWhere = 0;
+    p->pGroupBy = 0;
+    p->pHaving = 0;
+
+    /* Assign a cursor number for the ephemeral table used to buffer rows.
+    ** The OpenEphemeral instruction is coded later, after it is known how
+    ** many columns the table will have.  */
+    pMWin->iEphCsr = pParse->nTab++;
+
+    rc = selectWindowRewriteEList(pParse, pMWin, p->pEList, &pSublist);
+    if( rc ) return rc;
+    rc = selectWindowRewriteEList(pParse, pMWin, p->pOrderBy, &pSublist);
+    if( rc ) return rc;
+    pMWin->nBufferCol = (pSublist ? pSublist->nExpr : 0);
+
+    /* Create the ORDER BY clause for the sub-select. This is the concatenation
+    ** of the window PARTITION and ORDER BY clauses. Append the same 
+    ** expressions to the sub-select expression list. They are required to
+    ** figure out where boundaries for partitions and sets of peer rows.  */
+    pSort = sqlite3ExprListDup(db, pMWin->pPartition, 0);
+    if( pMWin->pOrderBy ){
+      pSort = exprListAppendList(pParse, pSort, pMWin->pOrderBy);
+    }
+    pSublist = exprListAppendList(pParse, pSublist, pSort);
+
+    /* Append the arguments passed to each window function to the
+    ** sub-select expression list. Also allocate two registers for each
+    ** window function - one for the accumulator, another for interim
+    ** results.  */
+    for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+      pWin->iArgCol = (pSublist ? pSublist->nExpr : 0);
+      pSublist = exprListAppendList(pParse, pSublist, pWin->pOwner->x.pList);
+      pWin->regAccum = ++pParse->nMem;
+      pWin->regResult = ++pParse->nMem;
+      sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
+    }
+
+    pSub = sqlite3SelectNew(
+        pParse, pSublist, pSrc, pWhere, pGroupBy, pHaving, pSort, 0, 0
+    );
+    p->pSrc = sqlite3SrcListAppend(db, 0, 0, 0);
+    if( p->pSrc ){
+      int iTab;
+      ExprList *pList = 0;
+      p->pSrc->a[0].pSelect = pSub;
+      sqlite3SrcListAssignCursors(pParse, p->pSrc);
+      if( sqlite3ExpandSubquery(pParse, &p->pSrc->a[0]) ){
+        rc = SQLITE_NOMEM;
+      }else{
+        pSub->selFlags |= SF_Expanded;
+      }
+    }
+
+    sqlite3VdbeAddOp2(v, OP_OpenEphemeral, pMWin->iEphCsr, pSublist->nExpr);
+  }
+
+  return rc;
+}
+
 void sqlite3WindowDelete(sqlite3 *db, Window *p){
   if( p ){
     sqlite3ExprDelete(db, p->pFilter);
@@ -125,13 +519,20 @@ static void windowAggStep(
   Window *pMWin, 
   int csr,
   int bInverse, 
-  int reg
+  int reg,
+  int regPartSize                 /* Register containing size of partition */
 ){
   Vdbe *v = sqlite3GetVdbe(pParse);
   Window *pWin;
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    int flags = pWin->pFunc->funcFlags;
     int regArg;
-    if( csr>=0 ){
+    int nArg = pWin->nArg;
+
+    if( flags & SQLITE_FUNC_WINDOW_SIZE ){
+      regArg = regPartSize;
+      nArg++;
+    }else if( csr>=0 ){
       int i;
       for(i=0; i<pWin->nArg; i++){
         sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+i, reg+i);
@@ -160,7 +561,7 @@ static void windowAggStep(
       }
       sqlite3VdbeAddOp3(v, OP_AggStep0, bInverse, regArg, pWin->regAccum);
       sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
-      sqlite3VdbeChangeP5(v, (u8)pWin->nArg);
+      sqlite3VdbeChangeP5(v, (u8)nArg);
     }
   }
 }
@@ -198,7 +599,8 @@ static void windowPartitionCache(
   Select *p,
   WhereInfo *pWInfo,
   int regFlushPart,
-  int lblFlushPart
+  int lblFlushPart,
+  int *pRegSize
 ){
   Window *pMWin = p->pWin;
   Vdbe *v = sqlite3GetVdbe(pParse);
@@ -211,6 +613,7 @@ static void windowPartitionCache(
   int regRecord = reg+nSub;
   int regRowid = regRecord+1;
 
+  *pRegSize = regRowid;
   pParse->nMem += nSub + 2;
 
   /* Martial the row returned by the sub-select into an array of 
@@ -405,6 +808,7 @@ static void windowCodeRowExprStep(
   int iPeer = 0;                   /* Column offset in eph-table of peer vals */
   int nPeerVal;                    /* Number of peer values */
   int bRange = 0;
+  int regSize = 0;
 
   assert( pMWin->eStart==TK_PRECEDING 
        || pMWin->eStart==TK_CURRENT 
@@ -432,7 +836,7 @@ static void windowCodeRowExprStep(
   regStart = ++pParse->nMem;
   regEnd = ++pParse->nMem;
 
-  windowPartitionCache(pParse, p, pWInfo, regFlushPart, lblFlushPart);
+  windowPartitionCache(pParse, p, pWInfo, regFlushPart, lblFlushPart, &regSize);
 
   addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
 
@@ -486,7 +890,7 @@ static void windowCodeRowExprStep(
   }
   sqlite3VdbeAddOp2(v, OP_Next, csrEnd, sqlite3VdbeCurrentAddr(v)+2);
   addr = sqlite3VdbeAddOp0(v, OP_Goto);
-  windowAggStep(pParse, pMWin, csrEnd, 0, regArg);
+  windowAggStep(pParse, pMWin, csrEnd, 0, regArg, regSize);
   if( pMWin->eEnd==TK_UNBOUNDED ){
     sqlite3VdbeAddOp2(v, OP_Goto, 0, addrTop);
     sqlite3VdbeJumpHere(v, addr);
@@ -552,7 +956,7 @@ static void windowCodeRowExprStep(
       addrJumpHere = sqlite3VdbeAddOp0(v, OP_Goto);
     }
     sqlite3VdbeAddOp2(v, OP_Next, csrStart, sqlite3VdbeCurrentAddr(v)+1);
-    windowAggStep(pParse, pMWin, csrStart, 1, regArg);
+    windowAggStep(pParse, pMWin, csrStart, 1, regArg, regSize);
     if( bRange ){
       sqlite3VdbeAddOp2(v, OP_Goto, 0, addrJumpHere-1);
     }
@@ -634,6 +1038,7 @@ static void windowCodeCacheStep(
   int csrLead;
   int regCtr;
   int regArg;                     /* Register array to martial function args */
+  int regSize;
   int nArg;
 
   assert( (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_CURRENT) 
@@ -649,7 +1054,7 @@ static void windowCodeCacheStep(
   csrLead = pParse->nTab++;
   regCtr = ++pParse->nMem;
 
-  windowPartitionCache(pParse, p, pWInfo, regFlushPart, lblFlushPart);
+  windowPartitionCache(pParse, p, pWInfo, regFlushPart, lblFlushPart, &regSize);
   addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
 
   /* Start of "flush_partition" */
@@ -692,7 +1097,7 @@ static void windowCodeCacheStep(
     sqlite3VdbeJumpHere(v, addrJump);
   }
 
-  windowAggStep(pParse, pMWin, csrLead, 0, regArg);
+  windowAggStep(pParse, pMWin, csrLead, 0, regArg, regSize);
   sqlite3VdbeAddOp2(v, OP_AddImm, regCtr, 1);
 
   sqlite3VdbeAddOp2(v, OP_Next, csrLead, addrRewind+2);
@@ -836,7 +1241,7 @@ static void windowCodeDefaultStep(
   }
 
   /* Invoke step function for window functions */
-  windowAggStep(pParse, pMWin, -1, 0, reg);
+  windowAggStep(pParse, pMWin, -1, 0, reg, 0);
 
   /* Buffer the current row in the ephemeral table. */
   if( pMWin->nBufferCol>0 ){
@@ -919,6 +1324,7 @@ void sqlite3WindowCodeStep(
   int *pbLoop
 ){
   Window *pMWin = p->pWin;
+  Window *pWin;
 
   *pbLoop = 0;
   if( (pMWin->eType==TK_ROWS 
@@ -929,16 +1335,12 @@ void sqlite3WindowCodeStep(
     return;
   }
 
-#if 0
-  if( pMWin->eType==TK_RANGE
-   && pMWin->eStart==TK_UNBOUNDED
-   && pMWin->eEnd==TK_CURRENT
-   && pMWin->pOrderBy
-  ){
-    windowCodeCacheStep(pParse, p, pWInfo, regGosub, addrGosub);
-    return;
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    if( pWin->pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE ){
+      windowCodeCacheStep(pParse, p, pWInfo, regGosub, addrGosub);
+      return;
+    }
   }
-#endif
 
   *pbLoop = 1;
   windowCodeDefaultStep(pParse, p, pWInfo, regGosub, addrGosub);
diff --git a/test/window3.tcl b/test/window3.tcl
index 4e540efa81..a3dec8cd68 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -73,9 +73,95 @@ foreach {tn window} {
   16 "ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING"
   17 "ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING"
 } {
-  execsql_test 1.2.1.$tn "SELECT max(b) OVER ( ORDER BY a $window ) FROM t2"
-  execsql_test 1.2.2.$tn "SELECT min(b) OVER ( ORDER BY a $window ) FROM t2"
+  execsql_test 1.$tn.2.1 "SELECT max(b) OVER ( ORDER BY a $window ) FROM t2"
+  execsql_test 1.$tn.2.2 "SELECT min(b) OVER ( ORDER BY a $window ) FROM t2"
+
+  execsql_test 1.$tn.3.1 "
+    SELECT row_number() OVER ( ORDER BY a $window ) FROM t2
+  "
+  execsql_test 1.$tn.3.2 "
+    SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a $window ) FROM t2
+  "
+
+  execsql_test 1.$tn.4.1 "
+    SELECT dense_rank() OVER ( ORDER BY a $window ) FROM t2
+  "
+  execsql_test 1.$tn.4.2 "
+    SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a $window ) FROM t2
+  "
+  execsql_test 1.$tn.4.3 "
+    SELECT dense_rank() OVER ( ORDER BY b $window ) FROM t2
+  "
+  execsql_test 1.$tn.4.4 "
+    SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b $window ) FROM t2
+  "
+  execsql_test 1.$tn.4.5 "
+    SELECT dense_rank() OVER ( ORDER BY b%10 $window ) FROM t2
+  "
+  execsql_test 1.$tn.4.6 "
+    SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 $window ) FROM t2
+  "
+
+  execsql_test 1.$tn.5.1 "
+    SELECT rank() OVER ( ORDER BY a $window ) FROM t2
+  "
+  execsql_test 1.$tn.5.2 "
+    SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a $window ) FROM t2
+  "
+  execsql_test 1.$tn.5.3 "
+    SELECT rank() OVER ( ORDER BY b $window ) FROM t2
+  "
+  execsql_test 1.$tn.5.4 "
+    SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b $window ) FROM t2
+  "
+  execsql_test 1.$tn.5.5 "
+    SELECT rank() OVER ( ORDER BY b%10 $window ) FROM t2
+  "
+  execsql_test 1.$tn.5.6 "
+    SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 $window ) FROM t2
+  "
+
+  execsql_test 1.$tn.6.1 "
+    SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 $window ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 $window ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 $window )
+    FROM t2
+  "
+
+  execsql_test 1.$tn.7.1 "
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a $window )
+  ) AS integer) FROM t2"
+
+  #execsql_test 1.$tn.7.2 "
+  #SELECT CAST( round( 100 * 
+      #percent_rank() OVER ( PARTITION BY b%10 ORDER BY a $window )
+  #) AS integer) FROM t2"
+
+  execsql_test 1.$tn.7.3 "
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b $window )
+  ) AS integer) FROM t2"
+
+  #execsql_test 1.$tn.7.4 "
+  #SELECT CAST( round( 100 * 
+      #percent_rank() OVER ( PARTITION BY b%10 ORDER BY b $window )
+  #) AS integer) FROM t2"
+
+  execsql_test 1.$tn.7.5 "
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 $window )
+  ) AS integer) FROM t2"
+
+  execsql_test 1.$tn.7.6 "
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 $window )
+  ) AS integer) FROM t2"
+
+
 }
 
+
 finish_test
 
diff --git a/test/window3.test b/test/window3.test
index 3ad02dce2b..6c70531f7a 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -57,15 +57,103 @@ do_execsql_test 1.1 {
   ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
 
-do_execsql_test 1.2.1.1 {
+do_execsql_test 1.1.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
 
-do_execsql_test 1.2.2.1 {
+do_execsql_test 1.1.2.2 {
   SELECT min(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
 
-do_execsql_test 1.2.1.2 {
+do_execsql_test 1.1.3.1 {
+  SELECT row_number() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.1.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.1.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.1.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.1.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.1.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.1.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.1.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.1.5.1 {
+  SELECT rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.1.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.1.5.3 {
+  SELECT rank() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.1.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.1.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.1.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.1.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.1.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.1.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.1.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.1.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
 
@@ -73,124 +161,1532 @@ do_execsql_test 1.2.2.2 {
   SELECT min(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
 
-do_execsql_test 1.2.1.3 {
+do_execsql_test 1.2.3.1 {
+  SELECT row_number() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.2.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.2.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.2.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.2.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.2.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.2.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.2.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.2.5.1 {
+  SELECT rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.2.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.2.5.3 {
+  SELECT rank() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.2.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.2.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.2.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.2.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.2.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.2.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.2.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.2.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
 
-do_execsql_test 1.2.2.3 {
+do_execsql_test 1.3.2.2 {
   SELECT min(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
 
-do_execsql_test 1.2.1.4 {
+do_execsql_test 1.3.3.1 {
+  SELECT row_number() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.3.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.3.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.3.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.3.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.3.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.3.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.3.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.3.5.1 {
+  SELECT rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.3.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.3.5.3 {
+  SELECT rank() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.3.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.3.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.3.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.3.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.3.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.3.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.3.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.3.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
 
-do_execsql_test 1.2.2.4 {
+do_execsql_test 1.4.2.2 {
   SELECT min(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7}
 
-do_execsql_test 1.2.1.5 {
+do_execsql_test 1.4.3.1 {
+  SELECT row_number() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.4.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.4.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.4.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.4.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.4.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.4.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.4.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.4.5.1 {
+  SELECT rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.4.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.4.5.3 {
+  SELECT rank() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.4.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.4.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.4.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.4.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.4.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.4.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.4.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.4.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
 
-do_execsql_test 1.2.2.5 {
+do_execsql_test 1.5.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
 
-do_execsql_test 1.2.1.6 {
+do_execsql_test 1.5.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.5.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.5.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.5.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.5.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.5.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.5.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.5.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.5.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.5.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.5.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.5.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.5.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.5.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.5.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.5.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.5.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.5.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.5.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.6.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   0   74   74   74   74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83}
 
-do_execsql_test 1.2.2.6 {
+do_execsql_test 1.6.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   0   0   0   41   23   23   23   26   2   2   2   81   59   38   38   38   39   39   46   6   6   6   27   27   27   46   54   8   8   8   29   29   77   23   16   16   16   16   35   35   7   7   7   61   61   61   24   24   24   43   12   12   12   3   3   3   22   22   15   15   15   25   25   1   1   1   40   40   16   16   16   36   36   76   76   4   4   4   30   30   30   29   29   29   2   2   2   37   37   72   41   9   9   9   61   65   13   13   13   58   1   1   1   21   35   5   5   5   11   11   41   12   8   8   8   20   15   15   15   22   22   73   34   8   8   8   11   34   34   59   59   55   55   55   44   2   2   2   7   57   29   29   29   19   19   19   26   26   26   47   36   36   36   9   9   9   66   33   33   33   64   64   9   9   9   13   12   12   12   14   36   36   33   15   15   15   34   3   3   3   58   52   30   30   30   10   10   10   21   21   21   39   30   30   30   34   27   27}
 
-do_execsql_test 1.2.1.7 {
+do_execsql_test 1.6.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.6.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.6.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.6.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.6.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.6.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.6.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.6.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.6.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.6.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.6.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.6.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.6.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.6.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.6.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.6.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.6.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.6.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.6.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
 
-do_execsql_test 1.2.2.7 {
+do_execsql_test 1.7.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
 
-do_execsql_test 1.2.1.8 {
+do_execsql_test 1.7.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.7.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.7.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.7.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.7.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.7.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.7.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.7.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.7.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.7.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.7.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.7.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.7.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.7.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.7.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.7.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.7.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.7.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.7.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83}
 
-do_execsql_test 1.2.2.8 {
+do_execsql_test 1.8.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   0   0   0   0   23   23   23   2   2   2   2   2   38   38   38   38   38   39   6   6   6   6   6   27   27   27   8   8   8   8   8   29   23   16   16   16   16   16   16   7   7   7   7   7   61   24   24   24   24   12   12   12   3   3   3   3   3   15   15   15   15   15   1   1   1   1   1   16   16   16   16   16   36   36   4   4   4   4   4   30   29   29   29   2   2   2   2   2   37   37   9   9   9   9   9   13   13   13   13   1   1   1   1   1   5   5   5   5   5   11   11   8   8   8   8   8   15   15   15   15   22   22   8   8   8   8   8   11   34   34   55   55   55   44   2   2   2   2   2   7   29   29   19   19   19   19   19   26   26   26   36   36   9   9   9   9   9   33   33   33   33   9   9   9   9   9   12   12   12   12   14   33   15   15   15   15   3   3   3   3   3   30   30   30   10   10   10   10   10   21   21   21   30   30   30   27   27   17   7}
 
-do_execsql_test 1.2.1.9 {
+do_execsql_test 1.8.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.8.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.8.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.8.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.8.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.8.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.8.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.8.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.8.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.8.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.8.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.8.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.8.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.8.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.8.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.8.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.8.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.8.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.8.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
 
-do_execsql_test 1.2.2.9 {
+do_execsql_test 1.9.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
 
-do_execsql_test 1.2.1.10 {
+do_execsql_test 1.9.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.9.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.9.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.9.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.9.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.9.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.9.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.9.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.9.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.9.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.9.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.9.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.9.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.9.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.9.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.9.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.9.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.9.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.9.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.10.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
 
-do_execsql_test 1.2.2.10 {
+do_execsql_test 1.10.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
 
-do_execsql_test 1.2.1.11 {
+do_execsql_test 1.10.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.10.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.10.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.10.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.10.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.10.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.10.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.10.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.10.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.10.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.10.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.10.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.10.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.10.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.10.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.10.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.10.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.10.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.10.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {74   74   74   99   99   99   99   99   99   99   96   96   96   96   96   96   91   91   99   99   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   93   93   93   93   93   93   86   91   91   91   91   91   91   91   85   85   85   91   91   91   91   91   91   91   90   90   89   89   89   89   56   56   75   75   89   98   98   98   98   98   98   98   94   94   94   94   78   78   87   87   87   87   87   87   87   84   84   95   95   95   95   96   98   98   98   98   98   98   98   74   74   74   87   87   87   87   87   87   87   41   95   95   95   95   95   95   95   88   88   88   90   90   96   96   96   96   96   96   96   77   85   85   85   85   85   85   85   74   74   70   70   80   90   90   90   90   90   90   90   72   72   93   93   93   93   93   93   93   81   81   81   62   91   91   91   91   91   91   91   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   58   58   83   83   83   83   83   83   83}
 
-do_execsql_test 1.2.2.11 {
+do_execsql_test 1.11.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {0   0   0   0   0   23   2   2   2   2   2   2   2   38   38   38   38   6   6   6   6   6   6   6   27   8   8   8   8   8   8   8   16   16   16   16   16   16   7   7   7   7   7   7   7   24   24   24   12   12   12   3   3   3   3   3   3   3   15   15   15   1   1   1   1   1   1   1   16   16   16   16   16   4   4   4   4   4   4   4   29   29   2   2   2   2   2   2   2   9   9   9   9   9   9   9   13   13   1   1   1   1   1   1   1   5   5   5   5   5   8   8   8   8   8   8   8   15   15   15   15   8   8   8   8   8   8   8   11   34   34   55   44   2   2   2   2   2   2   2   7   19   19   19   19   19   19   19   26   26   26   9   9   9   9   9   9   9   33   33   9   9   9   9   9   9   9   12   12   12   12   14   15   15   15   3   3   3   3   3   3   3   30   10   10   10   10   10   10   10   21   21   21   30   27   27   17   7   7   7}
 
-do_execsql_test 1.2.1.12 {
+do_execsql_test 1.11.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.11.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.11.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.11.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.11.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.11.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.11.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.11.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.11.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.11.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.11.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.11.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.11.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.11.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.11.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.11.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.11.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.11.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.11.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83   82   82   17   7}
 
-do_execsql_test 1.2.2.12 {
+do_execsql_test 1.12.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {0   23   23   23   2   2   2   2   2   38   38   38   38   38   39   6   6   6   6   6   27   27   27   8   8   8   8   8   29   23   16   16   16   16   16   16   7   7   7   7   7   61   24   24   24   24   12   12   12   3   3   3   3   3   15   15   15   15   15   1   1   1   1   1   16   16   16   16   16   36   36   4   4   4   4   4   30   29   29   29   2   2   2   2   2   37   37   9   9   9   9   9   13   13   13   13   1   1   1   1   1   5   5   5   5   5   11   11   8   8   8   8   8   15   15   15   15   22   22   8   8   8   8   8   11   34   34   55   55   55   44   2   2   2   2   2   7   29   29   19   19   19   19   19   26   26   26   36   36   9   9   9   9   9   33   33   33   33   9   9   9   9   9   12   12   12   12   14   33   15   15   15   15   3   3   3   3   3   30   30   30   10   10   10   10   10   21   21   21   30   30   30   27   27   17   7   7   7   7   7}
 
-do_execsql_test 1.2.1.13 {
+do_execsql_test 1.12.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.12.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.12.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.12.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.12.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.12.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.12.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.12.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.12.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.12.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.12.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.12.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.12.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.12.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.12.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.12.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.12.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.12.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.12.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83   82   82   17   7   {}   {}}
 
-do_execsql_test 1.2.2.13 {
+do_execsql_test 1.13.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {23   23   23   26   2   2   2   81   59   38   38   38   39   39   46   6   6   6   27   27   27   46   54   8   8   8   29   29   77   23   16   16   16   16   35   35   7   7   7   61   61   61   24   24   24   43   12   12   12   3   3   3   22   22   15   15   15   25   25   1   1   1   40   40   16   16   16   36   36   76   76   4   4   4   30   30   30   29   29   29   2   2   2   37   37   72   41   9   9   9   61   65   13   13   13   58   1   1   1   21   35   5   5   5   11   11   41   12   8   8   8   20   15   15   15   22   22   73   34   8   8   8   11   34   34   59   59   55   55   55   44   2   2   2   7   57   29   29   29   19   19   19   26   26   26   47   36   36   36   9   9   9   66   33   33   33   64   64   9   9   9   13   12   12   12   14   36   36   33   15   15   15   34   3   3   3   58   52   30   30   30   10   10   10   21   21   21   39   30   30   30   34   27   27   17   7   7   7   {}   {}}
 
-do_execsql_test 1.2.1.14 {
+do_execsql_test 1.13.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.13.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.13.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.13.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.13.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.13.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.13.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.13.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.13.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.13.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.13.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.13.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.13.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.13.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.13.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.13.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.13.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.13.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.13.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
 
-do_execsql_test 1.2.2.14 {
+do_execsql_test 1.14.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
 
-do_execsql_test 1.2.1.15 {
+do_execsql_test 1.14.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.14.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.14.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.14.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.14.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.14.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.14.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.14.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.14.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.14.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.14.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.14.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.14.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.14.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.14.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.14.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.14.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.14.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.14.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83}
 
-do_execsql_test 1.2.2.15 {
+do_execsql_test 1.15.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   0   0   0   0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7}
 
-do_execsql_test 1.2.1.16 {
+do_execsql_test 1.15.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.15.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.15.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.15.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.15.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.15.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.15.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.15.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.15.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.15.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.15.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.15.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.15.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.15.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.15.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.15.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.15.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.15.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.15.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
 
-do_execsql_test 1.2.2.16 {
+do_execsql_test 1.16.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7}
 
-do_execsql_test 1.2.1.17 {
+do_execsql_test 1.16.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.16.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.16.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.16.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.16.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.16.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.16.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.16.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.16.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.16.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.16.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.16.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.16.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.16.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.16.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.16.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.16.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.16.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.16.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
+do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7   {}   {}   {}   {}}
 
-do_execsql_test 1.2.2.17 {
+do_execsql_test 1.17.2.2 {
   SELECT min(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   {}   {}   {}   {}}
 
+do_execsql_test 1.17.3.1 {
+  SELECT row_number() OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.17.3.2 {
+  SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.17.4.1 {
+  SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.17.4.2 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.17.4.3 {
+  SELECT dense_rank() OVER ( ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   3   3   3   4   4   5   6   7   8   8   8   9   9   9   10   10   10   11   12   12   13   13   13   14   14   15   16   16   16   17   17   17   18   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   45   45   46   46   46   46   47   48   49   50   51   52   53   53   54   54   54   55   56   56   56   56   57   57   57   57   58   59   59   60   60   61   62   63   63   63   64   65   66   67   68   69   69   69   70   70   70   71   71   71   71   71   72   72   72   73   74   74   75   75   76   77   77   78   78   78   79   80   81   81   81   81   82   82   82   83   84   84   85   86   86   86   87   87   87   88   88   88   88   88   89   89   89   90   91   91   91   92   92   92   93   93   94   94   95   95   95}
+
+do_execsql_test 1.17.4.4 {
+  SELECT dense_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   5   6   7   8   9   9   10   10   10   1   1   2   2   3   3   4   4   5   5   5   6   7   7   8   8   8   9   9   9   9   9   1   1   1   2   2   2   3   3   4   5   6   7   7   8   8   8   9   1   1   2   2   3   3   3   4   4   4   4   4   5   5   6   7   8   8   8   9   10   10   10   1   2   3   4   4   4   4   5   5   6   7   8   8   8   8   8   9   9   9   9   10   1   2   2   2   3   4   4   5   5   6   6   6   7   7   7   8   8   8   9   9   9   1   2   2   2   3   3   3   4   4   4   4   5   5   6   6   6   7   8   9   10   10   10   1   1   1   2   3   3   4   4   5   5   5   5   6   7   8   8   9   9   10   10   1   1   1   2   3   3   4   4   4   4   5   6   6   7   8   8   1   1   1   2   3   3   3   4   4   4   5   6   6   6   6   7   8   9   9   9   10   10   10}
+
+do_execsql_test 1.17.4.5 {
+  SELECT dense_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10   10}
+
+do_execsql_test 1.17.4.6 {
+  SELECT dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5}
+
+do_execsql_test 1.17.5.1 {
+  SELECT rank() OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
+do_execsql_test 1.17.5.2 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
+
+do_execsql_test 1.17.5.3 {
+  SELECT rank() OVER ( ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   2   4   4   4   7   7   9   10   11   12   12   12   15   15   15   18   18   18   21   22   22   24   24   24   27   27   29   30   30   30   33   33   33   36   37   38   39   39   41   41   43   43   43   46   47   48   48   48   51   51   53   54   54   54   57   57   57   60   60   62   63   63   63   63   63   68   68   68   68   72   72   74   74   74   74   78   78   80   80   82   82   82   85   86   86   86   89   90   90   92   92   94   94   96   96   96   96   100   101   102   103   104   105   106   106   108   108   108   111   112   112   112   112   116   116   116   116   120   121   121   123   123   125   126   127   127   127   130   131   132   133   134   135   135   135   138   138   138   141   141   141   141   141   146   146   146   149   150   150   152   152   154   155   155   157   157   157   160   161   162   162   162   162   166   166   166   169   170   170   172   173   173   173   176   176   176   179   179   179   179   179   184   184   184   187   188   188   188   191   191   191   194   194   196   196   198   198   198}
+
+do_execsql_test 1.17.5.4 {
+  SELECT rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   4   4   7   8   9   10   11   11   13   13   13   1   1   3   3   5   5   7   7   9   9   9   12   13   13   15   15   15   18   18   18   18   18   1   1   1   4   4   4   7   7   9   10   11   12   12   14   14   14   17   1   1   3   3   5   5   5   8   8   8   8   8   13   13   15   16   17   17   17   20   21   21   21   1   2   3   4   4   4   4   8   8   10   11   12   12   12   12   12   17   17   17   17   21   1   2   2   2   5   6   6   8   8   10   10   10   13   13   13   16   16   16   19   19   19   1   2   2   2   5   5   5   8   8   8   8   12   12   14   14   14   17   18   19   20   20   20   1   1   1   4   5   5   7   7   9   9   9   9   13   14   15   15   17   17   19   19   1   1   1   4   5   5   7   7   7   7   11   12   12   14   15   15   1   1   1   4   5   5   5   8   8   8   11   12   12   12   12   16   17   18   18   18   21   21   21}
+
+do_execsql_test 1.17.5.5 {
+  SELECT rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   55   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   78   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   120   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   142   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   162   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178   178}
+
+do_execsql_test 1.17.5.6 {
+  SELECT rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   16   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   33   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   54   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   76   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   46   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   67   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87   87}
+
+do_execsql_test 1.17.6.1 {
+  SELECT 
+      row_number() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ),
+      rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ),
+      dense_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING )
+    FROM t2
+} {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
+
+do_execsql_test 1.17.7.1 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+
+do_execsql_test 1.17.7.3 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+
+do_execsql_test 1.17.7.5 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+
+do_execsql_test 1.17.7.6 {
+  SELECT CAST( round( 100 * 
+      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING )
+  ) AS integer) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+
 finish_test

From f1abe3680e04cc0f5c9eed7a9e6b47093a490beb Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 4 Jun 2018 08:22:09 +0000
Subject: [PATCH 018/154] Add support for window function cume_dist(). Improve
 tests for percent_rank().

FossilOrigin-Name: 76543f7dd3a2310f6e81a1bae17db9bb5d2cf10c1b87ed3f8394b3e75576078b
---
 manifest           |   18 +-
 manifest.uuid      |    2 +-
 src/window.c       |   34 +-
 test/pg_common.tcl |   19 +
 test/window3.tcl   |   65 +--
 test/window3.test  | 1224 ++++++++++++++++++++++++++++++++------------
 6 files changed, 982 insertions(+), 380 deletions(-)

diff --git a/manifest b/manifest
index f65ebdb4f1..039d81a458 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\ssupport\sfor\swindow\sfunctions\srow_number(),\srank(),\sdense_rank()\sand\npercent_rank().
-D 2018-06-02T21:04:28.694
+C Add\ssupport\sfor\swindow\sfunction\scume_dist().\sImprove\stests\sfor\spercent_rank().
+D 2018-06-04T08:22:09.586
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -582,7 +582,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 014c6c7ae0242f16ba9453d2c9272753b8d20af08d4f1c6d040a6f87dbc55055
+F src/window.c 0a6bc6bd759c0a2a2dc033f02837d8bf9d0851cb03b98a59f86b09e0c1443b85
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1148,7 +1148,7 @@ F test/pcache.test c8acbedd3b6fd0f9a7ca887a83b11d24a007972b
 F test/pcache2.test af7f3deb1a819f77a6d0d81534e97d1cf62cd442
 F test/percentile.test 4243af26b8f3f4555abe166f723715a1f74c77ff
 F test/permutations.test 10793f1de89a226fa22dde9ba9398de22571fee1bfb53a935a11be4aa014704f
-F test/pg_common.tcl 022a99098d284c64265b96573ef038ddb4c4c566ac587f50527f8a5e86c86ed0
+F test/pg_common.tcl 2562ad568cfaed67002f6cd9d1de3bc9d38eac99bb09acae3cdf92f8877f1a45
 F test/pragma.test 7c8cfc328a1717a95663cf8edb06c52ddfeaf97bb0aee69ae7457132e8d39e7d
 F test/pragma2.test e5d5c176360c321344249354c0c16aec46214c9f
 F test/pragma3.test 14c12bc5352b1e100e0b6b44f371053a81ccf8ed
@@ -1618,8 +1618,8 @@ F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl 27a34216e6e9b94307faa146285ef97e23bec57e05787064e17669fb8e276b29
-F test/window3.test d8975dfd7a3ac4d67f18c9d288ff7c46f6d0461fff4290414fcbd62027e8ac03
+F test/window3.tcl 1c8da1cfaa1297bbd1bb888ad8616c743e2e8b821d2ba148f949ff019fc258df
+F test/window3.test 25340bf9b61a35396f6e2e0913faea549b3172c0190279fec8a39779a234a741
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1736,7 +1736,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P b5b18f661341d8d450147e62d321791c706f16c0550bcd98eec3e0220c039189
-R 936d5c4f2319457074a03c8e7558fedb
+P 91c1cb7a217d0991a08256269f6c55ef185c25362d57b36bfbd2d85dab38e58f
+R d9cb5cee11e623ce77b17cfe98f4c40b
 U dan
-Z 37caf2da8db60907c2ea55a56e1b5065
+Z 45e866351077245724084f5b2a722161
diff --git a/manifest.uuid b/manifest.uuid
index 2be45d3e86..b30c25d128 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-91c1cb7a217d0991a08256269f6c55ef185c25362d57b36bfbd2d85dab38e58f
\ No newline at end of file
+76543f7dd3a2310f6e81a1bae17db9bb5d2cf10c1b87ed3f8394b3e75576078b
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index a3ef51e943..f45d9dadf0 100644
--- a/src/window.c
+++ b/src/window.c
@@ -149,6 +149,37 @@ static void percent_rankValueFunc(sqlite3_context *pCtx){
   }
 }
 
+static void cume_distStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+  struct CallCount *p;
+  assert( nArg==1 );
+
+  p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    if( p->nTotal==0 ){
+      p->nTotal = sqlite3_value_int64(apArg[0]);
+    }
+    p->nStep++;
+  }
+}
+static void cume_distInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void cume_distValueFunc(sqlite3_context *pCtx){
+  struct CallCount *p;
+  p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    double r = (double)(p->nStep) / (double)(p->nTotal);
+    sqlite3_result_double(pCtx, r);
+  }
+}
+
 static void nth_valueStepFunc(
   sqlite3_context *pCtx, 
   int nArg,
@@ -179,6 +210,7 @@ void sqlite3WindowFunctions(void){
     WINDOWFUNC(dense_rank, 0, 0),
     WINDOWFUNC(rank, 0, 0),
     WINDOWFUNC(percent_rank, 0, SQLITE_FUNC_WINDOW_SIZE),
+    WINDOWFUNC(cume_dist, 0, SQLITE_FUNC_WINDOW_SIZE),
     WINDOWFUNC(nth_value, 2, 0),
   };
   sqlite3InsertBuiltinFuncs(aWindowFuncs, ArraySize(aWindowFuncs));
@@ -197,7 +229,7 @@ void sqlite3WindowUpdate(Parse *pParse, Window *pWin, FuncDef *pFunc){
     }
 
     if( pFunc->xSFunc==dense_rankStepFunc || pFunc->xSFunc==rankStepFunc
-     || pFunc->xSFunc==percent_rankStepFunc
+     || pFunc->xSFunc==percent_rankStepFunc || pFunc->xSFunc==cume_distStepFunc
     ){
       sqlite3ExprDelete(db, pWin->pStart);
       sqlite3ExprDelete(db, pWin->pEnd);
diff --git a/test/pg_common.tcl b/test/pg_common.tcl
index ef9b8370ab..63064cafca 100644
--- a/test/pg_common.tcl
+++ b/test/pg_common.tcl
@@ -66,6 +66,25 @@ proc execsql_test {tn sql} {
   puts $::fd ""
 }
 
+# Same as [execsql_test], except coerce all results to floating point values
+# with two decimal points.
+#
+proc execsql_float_test {tn sql} {
+  set F "%.2f"
+  set res [execsql $sql]
+  set res2 [list]
+  foreach r $res { lappend res2 [format $F $r] }
+
+  puts $::fd "do_test $tn {"
+  puts $::fd "  set myres {}"
+  puts $::fd "  foreach r \[db eval {[string trim $sql]}\] {"
+  puts $::fd "    lappend myres \[format $F \[set r\]\]"
+  puts $::fd "  }"
+  puts $::fd "  set myres"
+  puts $::fd "} {$res2}"
+  puts $::fd ""
+}
+
 proc start_test {name date} {
   set dir [file dirname $::argv0]
   set output [file join $dir $name.test]
diff --git a/test/window3.tcl b/test/window3.tcl
index a3dec8cd68..8950af3642 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -129,36 +129,43 @@ foreach {tn window} {
     FROM t2
   "
 
-  execsql_test 1.$tn.7.1 "
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a $window )
-  ) AS integer) FROM t2"
-
-  #execsql_test 1.$tn.7.2 "
-  #SELECT CAST( round( 100 * 
-      #percent_rank() OVER ( PARTITION BY b%10 ORDER BY a $window )
-  #) AS integer) FROM t2"
-
-  execsql_test 1.$tn.7.3 "
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b $window )
-  ) AS integer) FROM t2"
-
-  #execsql_test 1.$tn.7.4 "
-  #SELECT CAST( round( 100 * 
-      #percent_rank() OVER ( PARTITION BY b%10 ORDER BY b $window )
-  #) AS integer) FROM t2"
-
-  execsql_test 1.$tn.7.5 "
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 $window )
-  ) AS integer) FROM t2"
-
-  execsql_test 1.$tn.7.6 "
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 $window )
-  ) AS integer) FROM t2"
+  execsql_float_test 1.$tn.7.1 "
+    SELECT percent_rank() OVER ( ORDER BY a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.7.2 "
+    SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.7.3 "
+    SELECT percent_rank() OVER ( ORDER BY b $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.7.4 "
+    SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.7.5 "
+    SELECT percent_rank() OVER ( ORDER BY b%10 $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.7.6 "
+    SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 $window ) FROM t2
+  "
 
+  execsql_float_test 1.$tn.8.1 "
+    SELECT cume_dist() OVER ( ORDER BY a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.2 "
+    SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.3 "
+    SELECT cume_dist() OVER ( ORDER BY b $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.4 "
+    SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.5 "
+    SELECT cume_dist() OVER ( ORDER BY b%10 $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.6 "
+    SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 $window ) FROM t2
+  "
 
 }
 
diff --git a/test/window3.test b/test/window3.test
index 6c70531f7a..28023d5532 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -129,29 +129,61 @@ do_execsql_test 1.1.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.1.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.1.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.1.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.1.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.1.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.1.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.1.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.1.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.1.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.1.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.1.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
@@ -225,29 +257,61 @@ do_execsql_test 1.2.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.2.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.2.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.2.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.2.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.2.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.2.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.2.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.2.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.2.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.2.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.2.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
@@ -321,29 +385,61 @@ do_execsql_test 1.3.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.3.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.3.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.3.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.3.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.3.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.3.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.3.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.3.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.3.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.3.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.3.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
@@ -417,29 +513,61 @@ do_execsql_test 1.4.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.4.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.4.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.4.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.4.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.4.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.4.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.4.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.4.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.4.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.4.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.4.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
@@ -513,29 +641,61 @@ do_execsql_test 1.5.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.5.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.5.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.5.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.5.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.5.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.5.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.5.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.5.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.5.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.5.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.5.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.6.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
@@ -609,29 +769,61 @@ do_execsql_test 1.6.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.6.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.6.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.6.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.6.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.6.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.6.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.6.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.6.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.6.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.6.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.6.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
@@ -705,29 +897,61 @@ do_execsql_test 1.7.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.7.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.7.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.7.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.7.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.7.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.7.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.7.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.7.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.7.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.7.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.7.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
@@ -801,29 +1025,61 @@ do_execsql_test 1.8.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.8.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.8.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.8.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.8.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.8.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.8.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.8.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.8.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.8.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.8.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.8.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
@@ -897,29 +1153,61 @@ do_execsql_test 1.9.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.9.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.9.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.9.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.9.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.9.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.9.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.9.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.9.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.9.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.9.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.9.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.10.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
@@ -993,29 +1281,61 @@ do_execsql_test 1.10.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.10.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.10.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.10.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.10.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.10.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.10.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.10.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.10.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.10.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.10.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.10.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
@@ -1089,29 +1409,61 @@ do_execsql_test 1.11.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.11.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.11.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.11.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.11.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.11.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.11.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.11.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.11.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.11.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.11.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.11.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
@@ -1185,29 +1537,61 @@ do_execsql_test 1.12.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.12.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.12.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.12.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.12.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.12.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.12.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.12.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.12.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.12.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.12.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.12.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
@@ -1281,29 +1665,61 @@ do_execsql_test 1.13.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.13.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.13.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.13.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.13.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.13.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.13.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.13.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.13.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.13.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.13.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.13.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
@@ -1377,29 +1793,61 @@ do_execsql_test 1.14.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.14.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.14.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.14.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.14.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.14.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.14.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.14.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.14.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.14.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.14.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.14.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
@@ -1473,29 +1921,61 @@ do_execsql_test 1.15.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.15.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.15.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.15.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.15.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.15.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.15.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.15.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.15.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.15.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.15.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.15.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
@@ -1569,29 +2049,61 @@ do_execsql_test 1.16.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.16.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.16.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.16.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.16.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.16.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.16.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.16.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.16.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.16.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.16.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.16.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
@@ -1665,28 +2177,60 @@ do_execsql_test 1.17.6.1 {
     FROM t2
 } {1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 16 2   17 16 2   18 16 2   19 16 2   20 16 2   21 16 2   22 16 2   23 16 2   24 16 2   25 16 2   26 16 2   27 16 2   28 16 2   29 16 2   30 16 2   31 16 2   32 16 2   33 33 3   34 33 3   35 33 3   36 33 3   37 33 3   38 33 3   39 33 3   40 33 3   41 33 3   42 33 3   43 33 3   44 33 3   45 33 3   46 33 3   47 33 3   48 33 3   49 33 3   50 33 3   51 33 3   52 33 3   53 33 3   54 54 4   55 54 4   56 54 4   57 54 4   58 54 4   59 54 4   60 54 4   61 54 4   62 54 4   63 54 4   64 54 4   65 54 4   66 54 4   67 54 4   68 54 4   69 54 4   70 54 4   71 54 4   72 54 4   73 54 4   74 54 4   75 54 4   76 76 5   77 76 5   78 76 5   79 76 5   80 76 5   81 76 5   82 76 5   83 76 5   84 76 5   85 76 5   86 76 5   87 76 5   88 76 5   89 76 5   90 76 5   91 76 5   1 1 1   2 1 1   3 1 1   4 1 1   5 1 1   6 1 1   7 1 1   8 1 1   9 1 1   10 1 1   11 1 1   12 1 1   13 1 1   14 1 1   15 1 1   16 1 1   17 1 1   18 1 1   19 1 1   20 1 1   21 1 1   22 1 1   23 23 2   24 23 2   25 23 2   26 23 2   27 23 2   28 23 2   29 23 2   30 23 2   31 23 2   32 23 2   33 23 2   34 23 2   35 23 2   36 23 2   37 23 2   38 23 2   39 23 2   40 23 2   41 23 2   42 23 2   43 23 2   44 23 2   45 23 2   46 46 3   47 46 3   48 46 3   49 46 3   50 46 3   51 46 3   52 46 3   53 46 3   54 46 3   55 46 3   56 46 3   57 46 3   58 46 3   59 46 3   60 46 3   61 46 3   62 46 3   63 46 3   64 46 3   65 46 3   66 46 3   67 67 4   68 67 4   69 67 4   70 67 4   71 67 4   72 67 4   73 67 4   74 67 4   75 67 4   76 67 4   77 67 4   78 67 4   79 67 4   80 67 4   81 67 4   82 67 4   83 67 4   84 67 4   85 67 4   86 67 4   87 87 5   88 87 5   89 87 5   90 87 5   91 87 5   92 87 5   93 87 5   94 87 5   95 87 5   96 87 5   97 87 5   98 87 5   99 87 5   100 87 5   101 87 5   102 87 5   103 87 5   104 87 5   105 87 5   106 87 5   107 87 5   108 87 5   109 87 5}
 
-do_execsql_test 1.17.7.1 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   3   3   4   4   5   5   6   6   7   7   8   8   9   9   10   10   11   11   12   12   13   13   14   14   15   15   16   16   17   17   18   18   19   19   20   20   21   21   22   22   23   23   24   24   25   25   26   26   27   27   28   28   29   29   30   30   31   31   32   32   33   33   34   34   35   35   36   36   37   37   38   38   39   39   40   40   41   41   42   42   43   43   44   44   45   45   46   46   47   47   48   48   49   49   50   50   51   51   52   52   53   53   54   54   55   55   56   56   57   57   58   58   59   59   60   60   61   61   62   62   63   63   64   64   65   65   66   66   67   67   68   68   69   69   70   70   71   71   72   72   73   73   74   74   75   75   76   76   77   77   78   78   79   79   80   80   81   81   82   82   83   83   84   84   85   85   86   86   87   87   88   88   89   89   90   90   91   91   92   92   93   93   94   94   95   95   96   96   97   97   98   98   99   99   100}
+do_test 1.17.7.1 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.03 0.03 0.04 0.04 0.05 0.05 0.06 0.06 0.07 0.07 0.08 0.08 0.09 0.09 0.10 0.10 0.11 0.11 0.12 0.12 0.13 0.13 0.14 0.14 0.15 0.15 0.16 0.16 0.17 0.17 0.18 0.18 0.19 0.19 0.20 0.20 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
 
-do_execsql_test 1.17.7.3 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   1   1   2   2   2   3   3   4   5   5   6   6   6   7   7   7   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   18   18   19   19   19   20   20   21   21   21   23   23   24   24   24   25   25   26   27   27   27   28   28   28   30   30   31   31   31   31   31   31   34   34   34   34   36   36   37   37   37   37   39   39   40   40   41   41   41   42   43   43   43   44   45   45   46   46   47   47   48   48   48   48   50   50   51   51   52   52   53   53   54   54   54   55   56   56   56   56   58   58   58   58   60   60   60   61   61   62   63   63   63   63   65   65   66   66   67   67   67   67   69   69   69   70   70   70   70   70   73   73   73   74   75   75   76   76   77   77   77   78   78   78   80   80   81   81   81   81   83   83   83   84   85   85   86   86   86   86   88   88   88   89   89   89   89   89   92   92   92   93   94   94   94   95   95   95   97   97   98   98   99   99   99}
+do_test 1.17.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.29 0.36 0.43 0.50 0.57 0.64 0.71 0.79 0.86 0.93 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.00 0.05 0.11 0.16 0.21 0.26 0.32 0.37 0.42 0.47 0.53 0.58 0.63 0.68 0.74 0.79 0.84 0.89 0.95 1.00 0.00 0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00}
 
-do_execsql_test 1.17.7.5 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   19   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   27   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   39   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   49   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   60   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   71   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   81   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89   89}
+do_test 1.17.7.3 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 0.01 0.02 0.02 0.02 0.03 0.03 0.04 0.05 0.05 0.06 0.06 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.11 0.11 0.12 0.12 0.12 0.13 0.13 0.14 0.15 0.15 0.15 0.16 0.16 0.16 0.18 0.18 0.19 0.19 0.19 0.20 0.20 0.21 0.21 0.21 0.23 0.23 0.24 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.30 0.30 0.31 0.31 0.31 0.31 0.31 0.31 0.34 0.34 0.34 0.34 0.36 0.36 0.37 0.37 0.37 0.37 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.43 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.48 0.48 0.48 0.48 0.50 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.54 0.55 0.56 0.56 0.56 0.56 0.58 0.58 0.58 0.58 0.60 0.60 0.60 0.61 0.61 0.62 0.63 0.63 0.63 0.63 0.65 0.65 0.66 0.66 0.67 0.67 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.70 0.70 0.73 0.73 0.73 0.74 0.75 0.75 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.78 0.80 0.80 0.81 0.81 0.81 0.81 0.83 0.83 0.83 0.84 0.85 0.85 0.86 0.86 0.86 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.89 0.89 0.92 0.92 0.92 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.97 0.97 0.98 0.98 0.99 0.99 0.99}
 
-do_execsql_test 1.17.7.6 {
-  SELECT CAST( round( 100 * 
-      percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING )
-  ) AS integer) FROM t2
-} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   17   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   36   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   59   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   83   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   20   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   42   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   61   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80   80}
+do_test 1.17.7.4 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.07 0.14 0.21 0.21 0.21 0.43 0.50 0.57 0.64 0.71 0.71 0.86 0.86 0.86 0.00 0.00 0.10 0.10 0.19 0.19 0.29 0.29 0.38 0.38 0.38 0.52 0.57 0.57 0.67 0.67 0.67 0.81 0.81 0.81 0.81 0.81 0.00 0.00 0.00 0.19 0.19 0.19 0.38 0.38 0.50 0.56 0.62 0.69 0.69 0.81 0.81 0.81 1.00 0.00 0.00 0.09 0.09 0.18 0.18 0.18 0.32 0.32 0.32 0.32 0.32 0.55 0.55 0.64 0.68 0.73 0.73 0.73 0.86 0.91 0.91 0.91 0.00 0.05 0.10 0.15 0.15 0.15 0.15 0.35 0.35 0.45 0.50 0.55 0.55 0.55 0.55 0.55 0.80 0.80 0.80 0.80 1.00 0.00 0.05 0.05 0.05 0.20 0.25 0.25 0.35 0.35 0.45 0.45 0.45 0.60 0.60 0.60 0.75 0.75 0.75 0.90 0.90 0.90 0.00 0.05 0.05 0.05 0.19 0.19 0.19 0.33 0.33 0.33 0.33 0.52 0.52 0.62 0.62 0.62 0.76 0.81 0.86 0.90 0.90 0.90 0.00 0.00 0.00 0.16 0.21 0.21 0.32 0.32 0.42 0.42 0.42 0.42 0.63 0.68 0.74 0.74 0.84 0.84 0.95 0.95 0.00 0.00 0.00 0.20 0.27 0.27 0.40 0.40 0.40 0.40 0.67 0.73 0.73 0.87 0.93 0.93 0.00 0.00 0.00 0.14 0.18 0.18 0.18 0.32 0.32 0.32 0.45 0.50 0.50 0.50 0.50 0.68 0.73 0.77 0.77 0.77 0.91 0.91 0.91}
+
+do_test 1.17.7.5 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.08 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.19 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.60 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89}
+
+do_test 1.17.7.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.17 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.36 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.42 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80 0.80}
+
+do_test 1.17.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
 
 finish_test

From 6bc5c9e78831339fb9df139f4ccf7481c3a254e0 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 4 Jun 2018 18:55:11 +0000
Subject: [PATCH 019/154] Add implementation of window function ntile().

FossilOrigin-Name: 3f093f608c6cc193aac77e7eafa8006c27a7776682d9d7b6e743710dff41ae42
---
 manifest          |   20 +-
 manifest.uuid     |    2 +-
 src/window.c      |   82 ++-
 test/window1.test |   14 +
 test/window3.tcl  |   20 +-
 test/window3.test | 1564 ++++++++++++++++++++++++++++++++++++++++++++-
 test/window4.tcl  |   30 +
 test/window4.test |  105 +++
 8 files changed, 1786 insertions(+), 51 deletions(-)
 create mode 100644 test/window4.tcl
 create mode 100644 test/window4.test

diff --git a/manifest b/manifest
index 1626534faa..7bec7c33f2 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\slatest\strunk\schanges\sinto\sthis\sbranch.
-D 2018-06-04T08:28:18.148
+C Add\simplementation\sof\swindow\sfunction\sntile().
+D 2018-06-04T18:55:11.391
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -583,7 +583,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 0a6bc6bd759c0a2a2dc033f02837d8bf9d0851cb03b98a59f86b09e0c1443b85
+F src/window.c ea479ab9cf46412c1b06f5ff1b12919dea4adb3ca03efebce961449272a9a98e
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1616,11 +1616,13 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 5705337783d220b47f6fb4432264543b7557a05be8013d772f57d71f2fded271
+F test/window1.test 905fe0842eacfd61e2f30ef7b0a84a7325ffa5cbbcd717ca30f25a142c3bca90
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl 1c8da1cfaa1297bbd1bb888ad8616c743e2e8b821d2ba148f949ff019fc258df
-F test/window3.test 25340bf9b61a35396f6e2e0913faea549b3172c0190279fec8a39779a234a741
+F test/window3.tcl 3efd83d35d59ab160b6d9ac72265f4b88222e6809214e7dd2ad19cdc33931521
+F test/window3.test 26697e923633bed6e5ee2c41d47f0fc75b177276cab7537eac7e4d7fb320a142
+F test/window4.tcl 3f81bec5bc42fcde751a92bb73ded3887c4448f024de40aff9dc2be798c1dd75
+F test/window4.test 41754c453131017f6bea755e9aef47076090920af2eb837a33e01362717e88f9
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1737,7 +1739,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 76543f7dd3a2310f6e81a1bae17db9bb5d2cf10c1b87ed3f8394b3e75576078b 1ecb3aa13de5c8dc611b814ff34010de0bd90aae73d88aa37a59c4627be4cc2d
-R c606c1190461bb6eccc9b4b19cdd62a3
+P 83d6416a868fac81a78c9507185a48d00920e4322276245e285946f760915f4a
+R 62a7ad8fbe69dabdaa9c102d3a72c7ce
 U dan
-Z d3ed94ca8b2037743bfe63812e5ba0a9
+Z f381d1ea1280fb47e67f4a0de2124ac3
diff --git a/manifest.uuid b/manifest.uuid
index 03836636d7..142ac6eff1 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-83d6416a868fac81a78c9507185a48d00920e4322276245e285946f760915f4a
\ No newline at end of file
+3f093f608c6cc193aac77e7eafa8006c27a7776682d9d7b6e743710dff41ae42
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index f45d9dadf0..bfb4ca119e 100644
--- a/src/window.c
+++ b/src/window.c
@@ -180,6 +180,69 @@ static void cume_distValueFunc(sqlite3_context *pCtx){
   }
 }
 
+struct NtileCtx {
+  i64 nTotal;                     /* Total rows in partition */
+  i64 nParam;                     /* Parameter passed to ntile(N) */
+  i64 iRow;                       /* Current row */
+};
+
+/*
+** Implementation of ntile(). This assumes that the window frame has
+** been coerced to:
+**
+**   ROWS UNBOUNDED PRECEDING AND CURRENT ROW
+**
+*/
+static void ntileStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+  struct NtileCtx *p;
+  assert( nArg==2 );
+  p = (struct NtileCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    if( p->nTotal==0 ){
+      p->nParam = sqlite3_value_int64(apArg[0]);
+      p->nTotal = sqlite3_value_int64(apArg[1]);
+      if( p->nParam<=0 ){
+        sqlite3_result_error(
+            pCtx, "argument of ntile must be a positive integer", -1
+        );
+      }
+    }
+    p->iRow++;
+  }
+}
+static void ntileInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void ntileValueFunc(sqlite3_context *pCtx){
+  struct NtileCtx *p;
+  p = (struct NtileCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p && p->nParam>0 ){
+    int nSize = (p->nTotal / p->nParam);
+    if( nSize==0 ){
+      sqlite3_result_int64(pCtx, p->iRow);
+    }else{
+      i64 nLarge = p->nTotal - p->nParam*nSize;
+      i64 iSmall = nLarge*(nSize+1);
+      i64 iRow = p->iRow-1;
+
+      assert( (nLarge*(nSize+1) + (p->nParam-nLarge)*nSize)==p->nTotal );
+
+      if( iRow<iSmall ){
+        sqlite3_result_int64(pCtx, 1 + iRow/(nSize+1));
+      }else{
+        sqlite3_result_int64(pCtx, 1 + nLarge + (iRow-iSmall)/nSize);
+      }
+    }
+  }
+}
+
 static void nth_valueStepFunc(
   sqlite3_context *pCtx, 
   int nArg,
@@ -211,6 +274,7 @@ void sqlite3WindowFunctions(void){
     WINDOWFUNC(rank, 0, 0),
     WINDOWFUNC(percent_rank, 0, SQLITE_FUNC_WINDOW_SIZE),
     WINDOWFUNC(cume_dist, 0, SQLITE_FUNC_WINDOW_SIZE),
+    WINDOWFUNC(ntile, 1, SQLITE_FUNC_WINDOW_SIZE),
     WINDOWFUNC(nth_value, 2, 0),
   };
   sqlite3InsertBuiltinFuncs(aWindowFuncs, ArraySize(aWindowFuncs));
@@ -219,7 +283,7 @@ void sqlite3WindowFunctions(void){
 void sqlite3WindowUpdate(Parse *pParse, Window *pWin, FuncDef *pFunc){
   if( pFunc->funcFlags & SQLITE_FUNC_WINDOW ){
     sqlite3 *db = pParse->db;
-    if( pFunc->xSFunc==row_numberStepFunc ){
+    if( pFunc->xSFunc==row_numberStepFunc || pFunc->xSFunc==ntileStepFunc ){
       sqlite3ExprDelete(db, pWin->pStart);
       sqlite3ExprDelete(db, pWin->pEnd);
       pWin->pStart = pWin->pEnd = 0;
@@ -561,16 +625,22 @@ static void windowAggStep(
     int regArg;
     int nArg = pWin->nArg;
 
-    if( flags & SQLITE_FUNC_WINDOW_SIZE ){
-      regArg = regPartSize;
-      nArg++;
-    }else if( csr>=0 ){
+    if( csr>=0 ){
       int i;
       for(i=0; i<pWin->nArg; i++){
         sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+i, reg+i);
       }
       regArg = reg;
+      if( flags & SQLITE_FUNC_WINDOW_SIZE ){
+        if( nArg==0 ){
+          regArg = regPartSize;
+        }else{
+          sqlite3VdbeAddOp2(v, OP_SCopy, regPartSize, reg+nArg);
+        }
+        nArg++;
+      }
     }else{
+      assert( !(flags & SQLITE_FUNC_WINDOW_SIZE) );
       regArg = reg + pWin->iArgCol;
     }
 
@@ -902,7 +972,7 @@ static void windowCodeRowExprStep(
   nArg = 0;
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
-    nArg = MAX(nArg, pWin->nArg);
+    nArg = MAX(nArg, pWin->nArg+1);
   }
   regArg = pParse->nMem+1;
   pParse->nMem += nArg;
diff --git a/test/window1.test b/test/window1.test
index 33664b30f0..a159fdaeba 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -181,5 +181,19 @@ do_execsql_test 4.10.2 {
   0 7 6.5.4.3.2.1.0
 }
 
+do_catchsql_test 5.1 {
+  SELECT ntile(0) OVER (ORDER BY a) FROM t2;
+} {1 {argument of ntile must be a positive integer}}
+do_catchsql_test 5.2 {
+  SELECT ntile(-1) OVER (ORDER BY a) FROM t2;
+} {1 {argument of ntile must be a positive integer}}
+do_catchsql_test 5.3 {
+  SELECT ntile('zbc') OVER (ORDER BY a) FROM t2;
+} {1 {argument of ntile must be a positive integer}}
+do_execsql_test 5.4 {
+  CREATE TABLE t4(a, b);
+  SELECT ntile(1) OVER (ORDER BY a) FROM t4;
+} {}
+
 
 finish_test
diff --git a/test/window3.tcl b/test/window3.tcl
index 8950af3642..cd6c7f12f6 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -167,8 +167,26 @@ foreach {tn window} {
     SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 $window ) FROM t2
   "
 
-}
+  execsql_float_test 1.$tn.8.1 "
+    SELECT ntile(100) OVER ( ORDER BY a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.2 "
+    SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.3 "
+    SELECT ntile(102) OVER ( ORDER BY b,a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.4 "
+    SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.5 "
+    SELECT ntile(104) OVER ( ORDER BY b%10,a $window ) FROM t2
+  "
+  execsql_float_test 1.$tn.8.6 "
+    SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
+  "
 
+}
 
 finish_test
 
diff --git a/test/window3.test b/test/window3.test
index 28023d5532..51be914a5f 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -179,11 +179,99 @@ do_test 1.1.7.6 {
 
 do_test 1.1.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.1.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.1.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.1.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.1.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.1.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.1.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.1.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.1.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.1.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.1.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.1.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
@@ -307,11 +395,99 @@ do_test 1.2.7.6 {
 
 do_test 1.2.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.2.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.2.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.2.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.2.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.2.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.2.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.2.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.2.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.2.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.2.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.2.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
@@ -435,11 +611,99 @@ do_test 1.3.7.6 {
 
 do_test 1.3.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.3.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.3.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.3.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.3.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.3.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.3.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.3.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.3.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.3.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.3.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.3.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
@@ -563,11 +827,99 @@ do_test 1.4.7.6 {
 
 do_test 1.4.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.4.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.4.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.4.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.4.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.4.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.4.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.4.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.4.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.4.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.4.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.4.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
@@ -691,11 +1043,99 @@ do_test 1.5.7.6 {
 
 do_test 1.5.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.5.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.5.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.5.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.5.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.5.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.5.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.5.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.5.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.5.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.5.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.5.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.6.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
@@ -819,11 +1259,99 @@ do_test 1.6.7.6 {
 
 do_test 1.6.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.6.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.6.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.6.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.6.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.6.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.6.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.6.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.6.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.6.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.6.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.6.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
@@ -947,11 +1475,99 @@ do_test 1.7.7.6 {
 
 do_test 1.7.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.7.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.7.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.7.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.7.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.7.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.7.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.7.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.7.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.7.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.7.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.7.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
@@ -1075,11 +1691,99 @@ do_test 1.8.7.6 {
 
 do_test 1.8.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.8.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.8.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.8.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.8.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.8.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.8.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.8.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.8.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.8.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.8.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.8.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
@@ -1203,11 +1907,99 @@ do_test 1.9.7.6 {
 
 do_test 1.9.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.9.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.9.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.9.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.9.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.9.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.9.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.9.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.9.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.9.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.9.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.9.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.10.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
@@ -1331,11 +2123,99 @@ do_test 1.10.7.6 {
 
 do_test 1.10.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.10.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.10.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.10.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.10.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.10.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.10.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.10.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.10.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.10.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.10.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.10.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
@@ -1459,11 +2339,99 @@ do_test 1.11.7.6 {
 
 do_test 1.11.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.11.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.11.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.11.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.11.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.11.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.11.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.11.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.11.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.11.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.11.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.11.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
@@ -1587,11 +2555,99 @@ do_test 1.12.7.6 {
 
 do_test 1.12.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.12.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.12.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.12.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.12.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.12.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.12.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.12.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.12.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.12.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.12.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.12.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
@@ -1715,11 +2771,99 @@ do_test 1.13.7.6 {
 
 do_test 1.13.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.13.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.13.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.13.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.13.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.13.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.13.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.13.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.13.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.13.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.13.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.13.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
@@ -1843,11 +2987,99 @@ do_test 1.14.7.6 {
 
 do_test 1.14.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.14.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.14.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.14.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.14.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.14.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.14.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.14.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.14.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.14.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.14.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.14.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
@@ -1971,11 +3203,99 @@ do_test 1.15.7.6 {
 
 do_test 1.15.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.15.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.15.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.15.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.15.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.15.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.15.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.15.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.15.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.15.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.15.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.15.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
@@ -2099,11 +3419,99 @@ do_test 1.16.7.6 {
 
 do_test 1.16.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.16.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.16.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.16.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.16.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.16.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.16.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.16.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.16.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.16.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.16.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.16.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
@@ -2227,10 +3635,98 @@ do_test 1.17.7.6 {
 
 do_test 1.17.8.1 {
   set myres {}
-  foreach r [db eval {SELECT b, cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
-} {0.00 0.01 1.00 0.01 1.00 0.01 2.00 0.03 2.00 0.03 2.00 0.03 3.00 0.04 3.00 0.04 4.00 0.04 5.00 0.05 6.00 0.06 7.00 0.07 7.00 0.07 7.00 0.07 8.00 0.09 8.00 0.09 8.00 0.09 9.00 0.10 9.00 0.10 9.00 0.10 10.00 0.10 11.00 0.12 11.00 0.12 12.00 0.13 12.00 0.13 12.00 0.13 13.00 0.14 13.00 0.14 14.00 0.14 15.00 0.16 15.00 0.16 15.00 0.16 16.00 0.17 16.00 0.17 16.00 0.17 17.00 0.18 19.00 0.18 20.00 0.19 21.00 0.20 21.00 0.20 22.00 0.21 22.00 0.21 23.00 0.23 23.00 0.23 23.00 0.23 24.00 0.23 25.00 0.23 26.00 0.25 26.00 0.25 26.00 0.25 27.00 0.26 27.00 0.26 28.00 0.27 29.00 0.28 29.00 0.28 29.00 0.28 30.00 0.29 30.00 0.29 30.00 0.29 31.00 0.30 31.00 0.30 32.00 0.31 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 33.00 0.34 34.00 0.35 34.00 0.35 34.00 0.35 34.00 0.35 35.00 0.36 35.00 0.36 36.00 0.39 36.00 0.39 36.00 0.39 36.00 0.39 37.00 0.40 37.00 0.40 38.00 0.41 38.00 0.41 39.00 0.42 39.00 0.42 39.00 0.42 40.00 0.42 41.00 0.44 41.00 0.44 41.00 0.44 42.00 0.45 43.00 0.46 43.00 0.46 44.00 0.47 44.00 0.47 46.00 0.47 46.00 0.47 47.00 0.49 47.00 0.49 47.00 0.49 47.00 0.49 49.00 0.50 50.00 0.51 51.00 0.51 52.00 0.52 53.00 0.52 54.00 0.53 55.00 0.54 55.00 0.54 56.00 0.55 56.00 0.55 56.00 0.55 57.00 0.56 58.00 0.57 58.00 0.57 58.00 0.57 58.00 0.57 59.00 0.59 59.00 0.59 59.00 0.59 59.00 0.59 60.00 0.60 61.00 0.61 61.00 0.61 62.00 0.62 62.00 0.62 63.00 0.62 64.00 0.63 65.00 0.65 65.00 0.65 65.00 0.65 66.00 0.65 67.00 0.66 68.00 0.66 69.00 0.67 70.00 0.67 72.00 0.69 72.00 0.69 72.00 0.69 73.00 0.70 73.00 0.70 73.00 0.70 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 74.00 0.72 75.00 0.74 75.00 0.74 75.00 0.74 76.00 0.74 77.00 0.76 77.00 0.76 78.00 0.77 78.00 0.77 79.00 0.77 80.00 0.78 80.00 0.78 81.00 0.80 81.00 0.80 81.00 0.80 82.00 0.80 83.00 0.81 84.00 0.82 84.00 0.82 84.00 0.82 84.00 0.82 85.00 0.84 85.00 0.84 85.00 0.84 86.00 0.84 87.00 0.85 87.00 0.85 88.00 0.86 89.00 0.88 89.00 0.88 89.00 0.88 90.00 0.89 90.00 0.89 90.00 0.89 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 91.00 0.92 93.00 0.93 93.00 0.93 93.00 0.93 94.00 0.94 95.00 0.95 95.00 0.95 95.00 0.95 96.00 0.96 96.00 0.96 96.00 0.96 97.00 0.97 97.00 0.97 98.00 0.98 98.00 0.98 99.00 1.00 99.00 1.00 99.00 1.00}
+} {0.01 0.01 0.01 0.02 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.06 0.07 0.07 0.07 0.08 0.09 0.09 0.10 0.10 0.10 0.11 0.12 0.12 0.12 0.13 0.14 0.14 0.14 0.15 0.15 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.20 0.21 0.21 0.22 0.23 0.23 0.23 0.24 0.24 0.25 0.26 0.26 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30 0.31 0.32 0.32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.36 0.36 0.37 0.38 0.38 0.39 0.39 0.40 0.40 0.41 0.41 0.41 0.42 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.46 0.47 0.47 0.47 0.48 0.48 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.53 0.54 0.54 0.55 0.55 0.56 0.56 0.56 0.57 0.57 0.58 0.58 0.59 0.59 0.60 0.60 0.61 0.61 0.62 0.62 0.63 0.64 0.64 0.65 0.65 0.66 0.66 0.67 0.67 0.68 0.68 0.69 0.69 0.69 0.70 0.70 0.71 0.71 0.72 0.72 0.73 0.73 0.74 0.74 0.75 0.76 0.76 0.77 0.77 0.78 0.78 0.79 0.79 0.80 0.80 0.81 0.81 0.81 0.82 0.82 0.83 0.83 0.84 0.84 0.85 0.85 0.86 0.86 0.87 0.88 0.88 0.89 0.89 0.90 0.90 0.91 0.91 0.92 0.92 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.96 0.96 0.97 0.97 0.98 0.98 0.99 0.99 1.00}
+
+do_test 1.17.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.27 0.33 0.40 0.47 0.53 0.60 0.67 0.73 0.80 0.87 0.93 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.06 0.12 0.18 0.24 0.29 0.35 0.41 0.47 0.53 0.59 0.65 0.71 0.76 0.82 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.10 0.14 0.19 0.24 0.29 0.33 0.38 0.43 0.48 0.52 0.57 0.62 0.67 0.71 0.76 0.81 0.86 0.90 0.95 1.00 0.05 0.09 0.14 0.18 0.23 0.27 0.32 0.36 0.41 0.45 0.50 0.55 0.59 0.64 0.68 0.73 0.77 0.82 0.86 0.91 0.95 1.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 0.06 0.12 0.19 0.25 0.31 0.38 0.44 0.50 0.56 0.62 0.69 0.75 0.81 0.88 0.94 1.00 0.04 0.09 0.13 0.17 0.22 0.26 0.30 0.35 0.39 0.43 0.48 0.52 0.57 0.61 0.65 0.70 0.74 0.78 0.83 0.87 0.91 0.96 1.00}
+
+do_test 1.17.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.01 0.01 0.01 0.03 0.03 0.03 0.04 0.04 0.04 0.05 0.06 0.07 0.07 0.07 0.09 0.09 0.09 0.10 0.10 0.10 0.10 0.12 0.12 0.13 0.13 0.13 0.14 0.14 0.14 0.16 0.16 0.16 0.17 0.17 0.17 0.18 0.18 0.19 0.20 0.20 0.21 0.21 0.23 0.23 0.23 0.23 0.23 0.25 0.25 0.25 0.26 0.26 0.27 0.28 0.28 0.28 0.29 0.29 0.29 0.30 0.30 0.31 0.34 0.34 0.34 0.34 0.34 0.35 0.35 0.35 0.35 0.36 0.36 0.39 0.39 0.39 0.39 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.44 0.44 0.44 0.45 0.46 0.46 0.47 0.47 0.47 0.47 0.49 0.49 0.49 0.49 0.50 0.51 0.51 0.52 0.52 0.53 0.54 0.54 0.55 0.55 0.55 0.56 0.57 0.57 0.57 0.57 0.59 0.59 0.59 0.59 0.60 0.61 0.61 0.62 0.62 0.62 0.63 0.65 0.65 0.65 0.65 0.66 0.66 0.67 0.67 0.69 0.69 0.69 0.70 0.70 0.70 0.72 0.72 0.72 0.72 0.72 0.74 0.74 0.74 0.74 0.76 0.76 0.77 0.77 0.77 0.78 0.78 0.80 0.80 0.80 0.80 0.81 0.82 0.82 0.82 0.82 0.84 0.84 0.84 0.84 0.85 0.85 0.86 0.88 0.88 0.88 0.89 0.89 0.89 0.92 0.92 0.92 0.92 0.92 0.93 0.93 0.93 0.94 0.95 0.95 0.95 0.96 0.96 0.96 0.97 0.97 0.98 0.98 1.00 1.00 1.00}
+
+do_test 1.17.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%10 ORDER BY b ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.13 0.20 0.40 0.40 0.40 0.47 0.53 0.60 0.67 0.80 0.80 1.00 1.00 1.00 0.09 0.09 0.18 0.18 0.27 0.27 0.36 0.36 0.50 0.50 0.50 0.55 0.64 0.64 0.77 0.77 0.77 1.00 1.00 1.00 1.00 1.00 0.18 0.18 0.18 0.35 0.35 0.35 0.47 0.47 0.53 0.59 0.65 0.76 0.76 0.94 0.94 0.94 1.00 0.09 0.09 0.17 0.17 0.30 0.30 0.30 0.52 0.52 0.52 0.52 0.52 0.61 0.61 0.65 0.70 0.83 0.83 0.83 0.87 1.00 1.00 1.00 0.05 0.10 0.14 0.33 0.33 0.33 0.33 0.43 0.43 0.48 0.52 0.76 0.76 0.76 0.76 0.76 0.95 0.95 0.95 0.95 1.00 0.05 0.19 0.19 0.19 0.24 0.33 0.33 0.43 0.43 0.57 0.57 0.57 0.71 0.71 0.71 0.86 0.86 0.86 1.00 1.00 1.00 0.05 0.18 0.18 0.18 0.32 0.32 0.32 0.50 0.50 0.50 0.50 0.59 0.59 0.73 0.73 0.73 0.77 0.82 0.86 1.00 1.00 1.00 0.15 0.15 0.15 0.20 0.30 0.30 0.40 0.40 0.60 0.60 0.60 0.60 0.65 0.70 0.80 0.80 0.90 0.90 1.00 1.00 0.19 0.19 0.19 0.25 0.38 0.38 0.62 0.62 0.62 0.62 0.69 0.81 0.81 0.88 1.00 1.00 0.13 0.13 0.13 0.17 0.30 0.30 0.30 0.43 0.43 0.43 0.48 0.65 0.65 0.65 0.65 0.70 0.74 0.87 0.87 0.87 1.00 1.00 1.00}
+
+do_test 1.17.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.18 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.27 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.39 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.49 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.59 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.81 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.17.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.16 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.58 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 0.82 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.41 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.61 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 0.79 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
+
+do_test 1.17.8.1 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(100) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 99.00 100.00 100.00}
+
+do_test 1.17.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(101) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.17.8.3 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(102) OVER ( ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 97.00 98.00 98.00 99.00 100.00 101.00 102.00}
+
+do_test 1.17.8.4 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(103) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00 11.00 12.00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00}
+
+do_test 1.17.8.5 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(104) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00}
+
+do_test 1.17.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
 finish_test
diff --git a/test/window4.tcl b/test/window4.tcl
new file mode 100644
index 0000000000..6160236282
--- /dev/null
+++ b/test/window4.tcl
@@ -0,0 +1,30 @@
+# 2018 May 19
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+#
+
+source [file join [file dirname $argv0] pg_common.tcl]
+
+#=========================================================================
+
+start_test window4 "2018 June 04"
+
+execsql_test 1.0 {
+  DROP TABLE IF EXISTS t3;
+  CREATE TABLE t3(a TEXT PRIMARY KEY);
+  INSERT INTO t3 VALUES('a'), ('b'), ('c'), ('d'), ('e');
+  INSERT INTO t3 VALUES('f'), ('g'), ('h'), ('i'), ('j');
+}
+
+for {set i 1} {$i < 20} {incr i} {
+  execsql_test 1.$i "SELECT a, ntile($i) OVER (ORDER BY a) FROM t3"
+}
+
+finish_test
diff --git a/test/window4.test b/test/window4.test
new file mode 100644
index 0000000000..7130a485ec
--- /dev/null
+++ b/test/window4.test
@@ -0,0 +1,105 @@
+# 2018 June 04
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library.
+#
+
+####################################################
+# DO NOT EDIT! THIS FILE IS AUTOMATICALLY GENERATED!
+####################################################
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+set testprefix window4
+
+do_execsql_test 1.0 {
+  DROP TABLE IF EXISTS t3;
+  CREATE TABLE t3(a TEXT PRIMARY KEY);
+  INSERT INTO t3 VALUES('a'), ('b'), ('c'), ('d'), ('e');
+  INSERT INTO t3 VALUES('f'), ('g'), ('h'), ('i'), ('j');
+} {}
+
+do_execsql_test 1.1 {
+  SELECT a, ntile(1) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 1   d 1   e 1   f 1   g 1   h 1   i 1   j 1}
+
+do_execsql_test 1.2 {
+  SELECT a, ntile(2) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 1   d 1   e 1   f 2   g 2   h 2   i 2   j 2}
+
+do_execsql_test 1.3 {
+  SELECT a, ntile(3) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 1   d 1   e 2   f 2   g 2   h 3   i 3   j 3}
+
+do_execsql_test 1.4 {
+  SELECT a, ntile(4) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 1   d 2   e 2   f 2   g 3   h 3   i 4   j 4}
+
+do_execsql_test 1.5 {
+  SELECT a, ntile(5) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 2   d 2   e 3   f 3   g 4   h 4   i 5   j 5}
+
+do_execsql_test 1.6 {
+  SELECT a, ntile(6) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 2   d 2   e 3   f 3   g 4   h 4   i 5   j 6}
+
+do_execsql_test 1.7 {
+  SELECT a, ntile(7) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 2   d 2   e 3   f 3   g 4   h 5   i 6   j 7}
+
+do_execsql_test 1.8 {
+  SELECT a, ntile(8) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 2   d 2   e 3   f 4   g 5   h 6   i 7   j 8}
+
+do_execsql_test 1.9 {
+  SELECT a, ntile(9) OVER (ORDER BY a) FROM t3
+} {a 1   b 1   c 2   d 3   e 4   f 5   g 6   h 7   i 8   j 9}
+
+do_execsql_test 1.10 {
+  SELECT a, ntile(10) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.11 {
+  SELECT a, ntile(11) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.12 {
+  SELECT a, ntile(12) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.13 {
+  SELECT a, ntile(13) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.14 {
+  SELECT a, ntile(14) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.15 {
+  SELECT a, ntile(15) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.16 {
+  SELECT a, ntile(16) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.17 {
+  SELECT a, ntile(17) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.18 {
+  SELECT a, ntile(18) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+do_execsql_test 1.19 {
+  SELECT a, ntile(19) OVER (ORDER BY a) FROM t3
+} {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
+
+finish_test

From 86d0ea755844cc3ace4800cfb1400d18bc067ccb Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 5 Jun 2018 15:16:25 +0000
Subject: [PATCH 020/154] Use an OP_NotFound opcode to cancel futile IN
 operators early.  The current implementation is suboptimal because it always
 runs teh OP_NotFound.  This still needs to be enhanced to only do the
 OP_NotFound if no results have been seen on the current loop.

FossilOrigin-Name: 87a9fc504f9a78caf7a7949cc7ada0a19d61bfab51bb49a00a1607194c116212
---
 manifest        | 14 +++++++-------
 manifest.uuid   |  2 +-
 src/where.c     |  4 +++-
 src/wherecode.c |  8 ++++++--
 4 files changed, 17 insertions(+), 11 deletions(-)

diff --git a/manifest b/manifest
index d53a07ddcf..ef0a40552a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\strunk\schanges.
-D 2018-06-05T13:54:06.962
+C Use\san\sOP_NotFound\sopcode\sto\scancel\sfutile\sIN\soperators\searly.\s\sThe\scurrent\nimplementation\sis\ssuboptimal\sbecause\sit\salways\sruns\steh\sOP_NotFound.\s\sThis\nstill\sneeds\sto\sbe\senhanced\sto\sonly\sdo\sthe\sOP_NotFound\sif\sno\sresults\shave\sbeen\nseen\son\sthe\scurrent\sloop.
+D 2018-06-05T15:16:25.289
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -579,9 +579,9 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c a9a270991e5e526151d077959b868481b28db8707bc6d29b76badd536c48225a
+F src/where.c a16f982d998e87067ea64d30602e008a24f767e6e502d7cdcddf0c858cdd9392
 F src/whereInt.h b6ab96d9c1e48d029eaaee8f9b6d05e6a2405af0ad68f684e75f21c46837ae11
-F src/wherecode.c 49256d67b95187f9b49777c0f526362f4eaaa46850700fe5020cf6b154a2fc52
+F src/wherecode.c f941a484fd9f7a197099efe384be7a64c5588f27bbf92151705dae92eea7dbfc
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P f8df2a8e28acdd9573a9ffc18027553f35f769a989f5dfbf81f31b0656ee6065 8a0b730d0ea640d5cf75febe39b2162411a12eb5275765a85882158b5a085681
-R c016cdaa4deeb52d3fb41752c4ee7460
+P 047295c588e9fdf2ffa4e69e166f177fd193309531dc6a9ac755fb7a763adb72
+R 5115dc97bd8a224dc2a595e1eda36012
 U drh
-Z 7399c1ded5e7ae5c45a8362a80c02d78
+Z 3e5cea1662f3befc7bce81830cbd86be
diff --git a/manifest.uuid b/manifest.uuid
index d74be7579c..20f95cb085 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-047295c588e9fdf2ffa4e69e166f177fd193309531dc6a9ac755fb7a763adb72
\ No newline at end of file
+87a9fc504f9a78caf7a7949cc7ada0a19d61bfab51bb49a00a1607194c116212
\ No newline at end of file
diff --git a/src/where.c b/src/where.c
index b93e2260e6..d31e0bb09d 100644
--- a/src/where.c
+++ b/src/where.c
@@ -5084,8 +5084,10 @@ void sqlite3WhereEnd(WhereInfo *pWInfo){
         sqlite3VdbeJumpHere(v, pIn->addrInTop+1);
         if( pIn->eEndLoopOp!=OP_Noop ){
           if( pIn->nPrefix ){
-            sqlite3VdbeAddOp3(v, OP_Noop, pLevel->iIdxCur,
+            sqlite3VdbeAddOp4Int(v, OP_NotFound, pLevel->iIdxCur,
+                              sqlite3VdbeCurrentAddr(v)+2,
                               pIn->iBase, pIn->nPrefix);
+            VdbeCoverage(v);
           }
           sqlite3VdbeAddOp2(v, pIn->eEndLoopOp, pIn->iCur, pIn->addrInTop);
           VdbeCoverage(v);
diff --git a/src/wherecode.c b/src/wherecode.c
index 1578122479..1c653c9f59 100644
--- a/src/wherecode.c
+++ b/src/wherecode.c
@@ -592,8 +592,12 @@ static int codeEqualityTerm(
           if( i==iEq ){
             pIn->iCur = iTab;
             pIn->eEndLoopOp = bRev ? OP_PrevIfOpen : OP_NextIfOpen;
-            pIn->iBase = iReg - i;
-            pIn->nPrefix = i;
+            if( (pLoop->wsFlags & WHERE_VIRTUALTABLE)==0 ){
+              pIn->iBase = iReg - i;
+              pIn->nPrefix = i;
+            }else{
+              pIn->nPrefix = 0;
+            }
           }else{
             pIn->eEndLoopOp = OP_Noop;
           }

From 1c5ed624a0925a184f3f10b6994dbc02fd8a40cd Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Tue, 5 Jun 2018 16:16:17 +0000
Subject: [PATCH 021/154] Add implementation of last_value() window function.

FossilOrigin-Name: 2493ce1a402888f6a8f25e03052c25a4e9bca740639e98cb614f5e5160ac25d3
---
 manifest          |  16 +-
 manifest.uuid     |   2 +-
 src/window.c      |  61 ++++++-
 test/window3.tcl  |  19 +++
 test/window3.test | 408 ++++++++++++++++++++++++++++++++++++++++++++++
 5 files changed, 496 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index 7bec7c33f2..1f21a7fe0f 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\simplementation\sof\swindow\sfunction\sntile().
-D 2018-06-04T18:55:11.391
+C Add\simplementation\sof\slast_value()\swindow\sfunction.
+D 2018-06-05T16:16:17.495
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -583,7 +583,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c ea479ab9cf46412c1b06f5ff1b12919dea4adb3ca03efebce961449272a9a98e
+F src/window.c 7f9f2c8a89e563a6928ed9ddf5ed0fb5d4883500c68a55721665f24aad5fc58f
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1619,8 +1619,8 @@ F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 905fe0842eacfd61e2f30ef7b0a84a7325ffa5cbbcd717ca30f25a142c3bca90
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl 3efd83d35d59ab160b6d9ac72265f4b88222e6809214e7dd2ad19cdc33931521
-F test/window3.test 26697e923633bed6e5ee2c41d47f0fc75b177276cab7537eac7e4d7fb320a142
+F test/window3.tcl 84bf567e752899b7db9b8edcf23c11a57a4de7d93e578652d817baa1233c4077
+F test/window3.test 9c18697bb0af3f27d9aab23bcf4c4c88c8fe873701b7886c000282ca60347e69
 F test/window4.tcl 3f81bec5bc42fcde751a92bb73ded3887c4448f024de40aff9dc2be798c1dd75
 F test/window4.test 41754c453131017f6bea755e9aef47076090920af2eb837a33e01362717e88f9
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
@@ -1739,7 +1739,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 83d6416a868fac81a78c9507185a48d00920e4322276245e285946f760915f4a
-R 62a7ad8fbe69dabdaa9c102d3a72c7ce
+P 3f093f608c6cc193aac77e7eafa8006c27a7776682d9d7b6e743710dff41ae42
+R 3cf87e0a0715370d40b3ff86c997d2e4
 U dan
-Z f381d1ea1280fb47e67f4a0de2124ac3
+Z c7f65d7f0faab7b9cbdaddaf9a146812
diff --git a/manifest.uuid b/manifest.uuid
index 142ac6eff1..71eb302388 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-3f093f608c6cc193aac77e7eafa8006c27a7776682d9d7b6e743710dff41ae42
\ No newline at end of file
+2493ce1a402888f6a8f25e03052c25a4e9bca740639e98cb614f5e5160ac25d3
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index bfb4ca119e..94dc50e7cc 100644
--- a/src/window.c
+++ b/src/window.c
@@ -191,7 +191,6 @@ struct NtileCtx {
 ** been coerced to:
 **
 **   ROWS UNBOUNDED PRECEDING AND CURRENT ROW
-**
 */
 static void ntileStepFunc(
   sqlite3_context *pCtx, 
@@ -243,6 +242,59 @@ static void ntileValueFunc(sqlite3_context *pCtx){
   }
 }
 
+struct LastValueCtx {
+  sqlite3_value *pVal;
+  int nVal;
+};
+
+/*
+** Implementation of last_value().
+*/
+static void last_valueStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+  struct LastValueCtx *p;
+  p = (struct LastValueCtx *)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    sqlite3_value_free(p->pVal);
+    p->pVal = sqlite3_value_dup(apArg[0]);
+    p->nVal++;
+  }
+}
+static void last_valueInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+  struct LastValueCtx *p;
+  p = (struct LastValueCtx *)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p ){
+    p->nVal--;
+    if( p->nVal==0 ){
+      sqlite3_value_free(p->pVal);
+      p->pVal = 0;
+    }
+  }
+}
+static void last_valueValueFunc(sqlite3_context *pCtx){
+  struct LastValueCtx *p;
+  p = (struct LastValueCtx *)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p && p->pVal ){
+    sqlite3_result_value(pCtx, p->pVal);
+  }
+}
+static void last_valueFinalizeFunc(sqlite3_context *pCtx){
+  struct LastValueCtx *p;
+  p = (struct LastValueCtx *)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( p && p->pVal ){
+    sqlite3_result_value(pCtx, p->pVal);
+    sqlite3_value_free(p->pVal);
+    p->pVal = 0;
+  }
+}
+
 static void nth_valueStepFunc(
   sqlite3_context *pCtx, 
   int nArg,
@@ -264,6 +316,12 @@ static void nth_valueValueFunc(sqlite3_context *pCtx){
   name ## InverseFunc, #name                                               \
 }
 
+#define WINDOWFUNCF(name,nArg,extra) {                                     \
+  nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
+  name ## StepFunc, name ## FinalizeFunc, name ## ValueFunc,               \
+  name ## InverseFunc, #name                                               \
+}
+
 /*
 ** Register those built-in window functions that are not also aggregates.
 */
@@ -275,6 +333,7 @@ void sqlite3WindowFunctions(void){
     WINDOWFUNC(percent_rank, 0, SQLITE_FUNC_WINDOW_SIZE),
     WINDOWFUNC(cume_dist, 0, SQLITE_FUNC_WINDOW_SIZE),
     WINDOWFUNC(ntile, 1, SQLITE_FUNC_WINDOW_SIZE),
+    WINDOWFUNCF(last_value, 1, 0),
     WINDOWFUNC(nth_value, 2, 0),
   };
   sqlite3InsertBuiltinFuncs(aWindowFuncs, ArraySize(aWindowFuncs));
diff --git a/test/window3.tcl b/test/window3.tcl
index cd6c7f12f6..1365e2be03 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -186,6 +186,25 @@ foreach {tn window} {
     SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
   "
 
+  execsql_test 1.$tn.9.1 "
+    SELECT last_value(a+b) OVER ( ORDER BY a $window ) FROM t2
+  "
+  execsql_test 1.$tn.9.2 "
+    SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a $window ) FROM t2
+  "
+  execsql_test 1.$tn.9.3 "
+    SELECT last_value(a+b) OVER ( ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.9.4 "
+    SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.9.5 "
+    SELECT last_value(a+b) OVER ( ORDER BY b%10,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.9.6 "
+    SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
+  "
+
 }
 
 finish_test
diff --git a/test/window3.test b/test/window3.test
index 51be914a5f..5238817676 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -273,6 +273,30 @@ do_test 1.1.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.1.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207}
+
+do_execsql_test 1.1.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229}
+
+do_execsql_test 1.1.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   65   102   11   87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171   198   105   120   276}
+
+do_execsql_test 1.1.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   196   134   109   213   223   106   234   191   212   168   229   147   218   240   65   102   119   136   123   210   146   147   44   132   152   160   105   154   92   156   243   109   136   146   261   263   11   87   138   63   124   179   78   141   84   120   234   79   231   162   227   228   280   57   181   110   179   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   279   124   130   252   80   182   71   157   161   209   229   179   235   80   225   76   78   117   177   214   116   173   269   271   171   111   74   132   189   87   74   140   113   187   103   161   169   145   208   235   131   133   223   190   213   274   26   51   52   85   33   172   173   107   187   207   212   65   70   109   121   124   223   150   128   108   195   226   48   144   207   216   50   224   124   202   87   110   195   200   196   96   110   211   173   197   119   124   36   121   132   88   52   232   156   210   239   250   83   103   158   210   171   198   101   163   172   163   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150   161   105   120   276}
+
+do_execsql_test 1.1.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229}
+
+do_execsql_test 1.1.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -489,6 +513,30 @@ do_test 1.2.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.2.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207}
+
+do_execsql_test 1.2.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {223   223   223   223   223   223   223   223   223   223   223   223   223   223   223   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   232   232   232   232   232   232   232   232   232   232   232   232   232   232   232   232   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229}
+
+do_execsql_test 1.2.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276}
+
+do_execsql_test 1.2.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {240   240   240   240   240   240   240   240   240   240   240   240   240   240   240   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   198   198   198   198   198   198   198   198   198   198   198   198   198   198   198   198   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276}
+
+do_execsql_test 1.2.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229}
+
+do_execsql_test 1.2.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -705,6 +753,30 @@ do_test 1.3.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.3.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207}
+
+do_execsql_test 1.3.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229}
+
+do_execsql_test 1.3.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   65   102   11   87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171   198   105   120   276}
+
+do_execsql_test 1.3.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   196   134   109   213   223   106   234   191   212   168   229   147   218   240   65   102   119   136   123   210   146   147   44   132   152   160   105   154   92   156   243   109   136   146   261   263   11   87   138   63   124   179   78   141   84   120   234   79   231   162   227   228   280   57   181   110   179   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   279   124   130   252   80   182   71   157   161   209   229   179   235   80   225   76   78   117   177   214   116   173   269   271   171   111   74   132   189   87   74   140   113   187   103   161   169   145   208   235   131   133   223   190   213   274   26   51   52   85   33   172   173   107   187   207   212   65   70   109   121   124   223   150   128   108   195   226   48   144   207   216   50   224   124   202   87   110   195   200   196   96   110   211   173   197   119   124   36   121   132   88   52   232   156   210   239   250   83   103   158   210   171   198   101   163   172   163   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150   161   105   120   276}
+
+do_execsql_test 1.3.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229}
+
+do_execsql_test 1.3.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -921,6 +993,30 @@ do_test 1.4.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.4.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207}
+
+do_execsql_test 1.4.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {223   223   223   223   223   223   223   223   223   223   223   223   223   223   223   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   232   232   232   232   232   232   232   232   232   232   232   232   232   232   232   232   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229}
+
+do_execsql_test 1.4.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276}
+
+do_execsql_test 1.4.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {240   240   240   240   240   240   240   240   240   240   240   240   240   240   240   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   198   198   198   198   198   198   198   198   198   198   198   198   198   198   198   198   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276}
+
+do_execsql_test 1.4.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229}
+
+do_execsql_test 1.4.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -1137,6 +1233,30 @@ do_test 1.5.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.5.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279}
+
+do_execsql_test 1.5.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   1   147   106   109   168   134   218   191   212   229   240   {}   {}   {}   {}   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   {}   {}   {}   {}   11   79   63   84   78   120   87   162   124   141   138   227   228   {}   {}   {}   {}   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   {}   {}   {}   {}   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   {}   {}   {}   {}   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   {}   {}   {}   {}   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   {}   {}   {}   {}   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   {}   {}   {}   {}   52   83   103   36   88   171   158   156   198   121   210   132   {}   {}   {}   {}   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163}
+
+do_execsql_test 1.5.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   1   65   102   11   87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171}
+
+do_execsql_test 1.5.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   1   196   134   109   213   223   106   234   191   212   168   {}   {}   {}   {}   65   102   119   136   123   210   146   147   44   132   152   160   105   154   92   156   243   109   {}   {}   {}   {}   11   87   138   63   124   179   78   141   84   120   234   79   231   {}   {}   {}   {}   57   181   110   179   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   {}   {}   {}   {}   80   182   71   157   161   209   229   179   235   80   225   76   78   117   177   214   116   {}   {}   {}   {}   111   74   132   189   87   74   140   113   187   103   161   169   145   208   235   131   133   {}   {}   {}   {}   26   51   52   85   33   172   173   107   187   207   212   65   70   109   121   124   223   150   {}   {}   {}   {}   48   144   207   216   50   224   124   202   87   110   195   200   196   96   110   211   {}   {}   {}   {}   36   121   132   88   52   232   156   210   239   250   83   103   {}   {}   {}   {}   101   163   172   163   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150}
+
+do_execsql_test 1.5.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163}
+
+do_execsql_test 1.5.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.6.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   0   74   74   74   74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83}
@@ -1353,6 +1473,30 @@ do_test 1.6.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.6.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280}
+
+do_execsql_test 1.6.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   1   147   106   109   168   134   218   191   212   229   240   213   234   {}   {}   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   {}   {}   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   {}   {}   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   {}   {}   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   {}   {}   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   {}   {}   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   {}   {}   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   {}   {}   52   83   103   36   88   171   158   156   198   121   210   132   210   239   {}   {}   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276}
+
+do_execsql_test 1.6.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   1   65   102   11   87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171   198   105}
+
+do_execsql_test 1.6.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   1   196   134   109   213   223   106   234   191   212   168   229   147   {}   {}   65   102   119   136   123   210   146   147   44   132   152   160   105   154   92   156   243   109   136   146   {}   {}   11   87   138   63   124   179   78   141   84   120   234   79   231   162   227   {}   {}   57   181   110   179   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   279   124   {}   {}   80   182   71   157   161   209   229   179   235   80   225   76   78   117   177   214   116   173   269   {}   {}   111   74   132   189   87   74   140   113   187   103   161   169   145   208   235   131   133   223   190   {}   {}   26   51   52   85   33   172   173   107   187   207   212   65   70   109   121   124   223   150   128   108   {}   {}   48   144   207   216   50   224   124   202   87   110   195   200   196   96   110   211   173   197   {}   {}   36   121   132   88   52   232   156   210   239   250   83   103   158   210   {}   {}   101   163   172   163   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150   161   105}
+
+do_execsql_test 1.6.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276}
+
+do_execsql_test 1.6.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -1569,6 +1713,30 @@ do_test 1.7.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.7.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207}
+
+do_execsql_test 1.7.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229}
+
+do_execsql_test 1.7.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   65   102   11   87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171   198   105   120   276}
+
+do_execsql_test 1.7.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   196   134   109   213   223   106   234   191   212   168   229   147   218   240   65   102   119   136   123   210   146   147   44   132   152   160   105   154   92   156   243   109   136   146   261   263   11   87   138   63   124   179   78   141   84   120   234   79   231   162   227   228   280   57   181   110   179   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   279   124   130   252   80   182   71   157   161   209   229   179   235   80   225   76   78   117   177   214   116   173   269   271   171   111   74   132   189   87   74   140   113   187   103   161   169   145   208   235   131   133   223   190   213   274   26   51   52   85   33   172   173   107   187   207   212   65   70   109   121   124   223   150   128   108   195   226   48   144   207   216   50   224   124   202   87   110   195   200   196   96   110   211   173   197   119   124   36   121   132   88   52   232   156   210   239   250   83   103   158   210   171   198   101   163   172   163   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150   161   105   120   276}
+
+do_execsql_test 1.7.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229}
+
+do_execsql_test 1.7.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83}
@@ -1785,6 +1953,30 @@ do_test 1.8.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.8.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207}
+
+do_execsql_test 1.8.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229}
+
+do_execsql_test 1.8.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   65   102   11   87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171   198   105   120   276}
+
+do_execsql_test 1.8.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   196   134   109   213   223   106   234   191   212   168   229   147   218   240   65   102   119   136   123   210   146   147   44   132   152   160   105   154   92   156   243   109   136   146   261   263   11   87   138   63   124   179   78   141   84   120   234   79   231   162   227   228   280   57   181   110   179   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   279   124   130   252   80   182   71   157   161   209   229   179   235   80   225   76   78   117   177   214   116   173   269   271   171   111   74   132   189   87   74   140   113   187   103   161   169   145   208   235   131   133   223   190   213   274   26   51   52   85   33   172   173   107   187   207   212   65   70   109   121   124   223   150   128   108   195   226   48   144   207   216   50   224   124   202   87   110   195   200   196   96   110   211   173   197   119   124   36   121   132   88   52   232   156   210   239   250   83   103   158   210   171   198   101   163   172   163   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150   161   105   120   276}
+
+do_execsql_test 1.8.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229}
+
+do_execsql_test 1.8.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -2001,6 +2193,30 @@ do_test 1.9.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.9.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207}
+
+do_execsql_test 1.9.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229}
+
+do_execsql_test 1.9.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   65   102   11   87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171   198   105   120   276}
+
+do_execsql_test 1.9.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   196   134   109   213   223   106   234   191   212   168   229   147   218   240   65   102   119   136   123   210   146   147   44   132   152   160   105   154   92   156   243   109   136   146   261   263   11   87   138   63   124   179   78   141   84   120   234   79   231   162   227   228   280   57   181   110   179   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   279   124   130   252   80   182   71   157   161   209   229   179   235   80   225   76   78   117   177   214   116   173   269   271   171   111   74   132   189   87   74   140   113   187   103   161   169   145   208   235   131   133   223   190   213   274   26   51   52   85   33   172   173   107   187   207   212   65   70   109   121   124   223   150   128   108   195   226   48   144   207   216   50   224   124   202   87   110   195   200   196   96   110   211   173   197   119   124   36   121   132   88   52   232   156   210   239   250   83   103   158   210   171   198   101   163   172   163   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150   161   105   120   276}
+
+do_execsql_test 1.9.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   147   106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229}
+
+do_execsql_test 1.9.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.10.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -2217,6 +2433,30 @@ do_test 1.10.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.10.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207   207   207   207   207}
+
+do_execsql_test 1.10.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {168   134   218   191   212   229   240   213   234   196   223   223   223   223   223   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   210   210   210   210   78   120   87   162   124   141   138   227   228   179   231   234   280   280   280   280   280   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   279   279   279   279   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   229   229   229   229   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   274   274   274   274   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   212   212   212   212   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   207   207   207   207   88   171   158   156   198   121   210   132   210   239   250   232   232   232   232   232   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229   229   229   229   229}
+
+do_execsql_test 1.10.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171   198   105   120   276   276   276   276   276}
+
+do_execsql_test 1.10.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {213   223   106   234   191   212   168   229   147   218   240   240   240   240   240   123   210   146   147   44   132   152   160   105   154   92   156   243   109   136   146   261   263   263   263   263   263   124   179   78   141   84   120   234   79   231   162   227   228   280   280   280   280   280   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   279   124   130   252   252   252   252   252   161   209   229   179   235   80   225   76   78   117   177   214   116   173   269   271   171   171   171   171   171   87   74   140   113   187   103   161   169   145   208   235   131   133   223   190   213   274   274   274   274   274   33   172   173   107   187   207   212   65   70   109   121   124   223   150   128   108   195   226   226   226   226   226   50   224   124   202   87   110   195   200   196   96   110   211   173   197   119   124   124   124   124   124   52   232   156   210   239   250   83   103   158   210   171   198   198   198   198   198   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150   161   105   120   276   276   276   276   276}
+
+do_execsql_test 1.10.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229   229   229   229   229}
+
+do_execsql_test 1.10.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {74   74   74   99   99   99   99   99   99   99   96   96   96   96   96   96   91   91   99   99   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   93   93   93   93   93   93   86   91   91   91   91   91   91   91   85   85   85   91   91   91   91   91   91   91   90   90   89   89   89   89   56   56   75   75   89   98   98   98   98   98   98   98   94   94   94   94   78   78   87   87   87   87   87   87   87   84   84   95   95   95   95   96   98   98   98   98   98   98   98   74   74   74   87   87   87   87   87   87   87   41   95   95   95   95   95   95   95   88   88   88   90   90   96   96   96   96   96   96   96   77   85   85   85   85   85   85   85   74   74   70   70   80   90   90   90   90   90   90   90   72   72   93   93   93   93   93   93   93   81   81   81   62   91   91   91   91   91   91   91   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   58   58   83   83   83   83   83   83   83}
@@ -2433,6 +2673,30 @@ do_test 1.11.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.11.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207   207   207}
+
+do_execsql_test 1.11.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {106   109   168   134   218   191   212   229   240   213   234   196   223   223   223   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   210   210   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   280   280   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   279   279   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   229   229   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   274   274   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   212   212   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   207   207   103   36   88   171   158   156   198   121   210   132   210   239   250   232   232   232   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229   229   229}
+
+do_execsql_test 1.11.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {102   11   87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171   198   105   120   276   276   276}
+
+do_execsql_test 1.11.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {134   109   213   223   106   234   191   212   168   229   147   218   240   240   240   119   136   123   210   146   147   44   132   152   160   105   154   92   156   243   109   136   146   261   263   263   263   138   63   124   179   78   141   84   120   234   79   231   162   227   228   280   280   280   110   179   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   279   124   130   252   252   252   71   157   161   209   229   179   235   80   225   76   78   117   177   214   116   173   269   271   171   171   171   132   189   87   74   140   113   187   103   161   169   145   208   235   131   133   223   190   213   274   274   274   52   85   33   172   173   107   187   207   212   65   70   109   121   124   223   150   128   108   195   226   226   226   207   216   50   224   124   202   87   110   195   200   196   96   110   211   173   197   119   124   124   124   132   88   52   232   156   210   239   250   83   103   158   210   171   198   198   198   172   163   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150   161   105   120   276   276   276}
+
+do_execsql_test 1.11.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {106   109   168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229   229   229}
+
+do_execsql_test 1.11.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83   82   82   17   7}
@@ -2649,6 +2913,30 @@ do_test 1.12.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.12.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207   207   207   207   207}
+
+do_execsql_test 1.12.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {168   134   218   191   212   229   240   213   234   196   223   223   223   223   223   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   210   210   210   210   78   120   87   162   124   141   138   227   228   179   231   234   280   280   280   280   280   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   279   279   279   279   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   229   229   229   229   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   274   274   274   274   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   212   212   212   212   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   207   207   207   207   88   171   158   156   198   121   210   132   210   239   250   232   232   232   232   232   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229   229   229   229   229}
+
+do_execsql_test 1.12.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171   198   105   120   276   276   276   276   276}
+
+do_execsql_test 1.12.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {213   223   106   234   191   212   168   229   147   218   240   240   240   240   240   123   210   146   147   44   132   152   160   105   154   92   156   243   109   136   146   261   263   263   263   263   263   124   179   78   141   84   120   234   79   231   162   227   228   280   280   280   280   280   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   279   124   130   252   252   252   252   252   161   209   229   179   235   80   225   76   78   117   177   214   116   173   269   271   171   171   171   171   171   87   74   140   113   187   103   161   169   145   208   235   131   133   223   190   213   274   274   274   274   274   33   172   173   107   187   207   212   65   70   109   121   124   223   150   128   108   195   226   226   226   226   226   50   224   124   202   87   110   195   200   196   96   110   211   173   197   119   124   124   124   124   124   52   232   156   210   239   250   83   103   158   210   171   198   198   198   198   198   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150   161   105   120   276   276   276   276   276}
+
+do_execsql_test 1.12.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229   229   229   229   229}
+
+do_execsql_test 1.12.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83   82   82   17   7   {}   {}}
@@ -2865,6 +3153,30 @@ do_test 1.13.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.13.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207   207   207   {}   {}}
+
+do_execsql_test 1.13.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {168   134   218   191   212   229   240   213   234   196   223   223   223   {}   {}   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   210   210   {}   {}   78   120   87   162   124   141   138   227   228   179   231   234   280   280   280   {}   {}   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   279   279   {}   {}   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   229   229   {}   {}   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   274   274   {}   {}   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   212   212   {}   {}   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   207   207   {}   {}   88   171   158   156   198   121   210   132   210   239   250   232   232   232   {}   {}   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229   229   229   {}   {}}
+
+do_execsql_test 1.13.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {87   138   57   181   80   111   26   48   144   207   36   121   132   101   163   172   196   119   136   63   124   179   110   179   182   74   132   189   51   52   85   216   163   134   123   210   78   141   28   57   187   71   87   33   172   173   50   224   88   59   111   170   109   213   223   146   147   84   41   114   191   206   221   157   161   209   229   74   140   107   187   207   212   124   202   52   232   55   184   229   106   44   132   152   120   92   110   179   235   65   70   87   110   195   200   175   234   160   234   136   80   113   187   109   121   124   196   156   210   239   250   72   109   188   202   191   105   154   79   231   147   225   103   161   169   223   96   83   249   212   162   227   228   167   180   193   76   78   117   177   214   145   208   235   150   110   211   103   158   200   168   229   92   156   243   280   279   116   173   269   271   131   133   223   128   173   197   210   99   150   161   147   218   240   109   136   146   261   263   124   130   252   171   190   213   274   108   195   226   119   124   171   198   105   120   276   276   276   {}   {}}
+
+do_execsql_test 1.13.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {213   223   106   234   191   212   168   229   147   218   240   240   240   {}   {}   123   210   146   147   44   132   152   160   105   154   92   156   243   109   136   146   261   263   263   263   {}   {}   124   179   78   141   84   120   234   79   231   162   227   228   280   280   280   {}   {}   28   57   187   41   114   191   206   221   92   110   136   147   167   180   193   279   124   130   252   252   252   {}   {}   161   209   229   179   235   80   225   76   78   117   177   214   116   173   269   271   171   171   171   {}   {}   87   74   140   113   187   103   161   169   145   208   235   131   133   223   190   213   274   274   274   {}   {}   33   172   173   107   187   207   212   65   70   109   121   124   223   150   128   108   195   226   226   226   {}   {}   50   224   124   202   87   110   195   200   196   96   110   211   173   197   119   124   124   124   {}   {}   52   232   156   210   239   250   83   103   158   210   171   198   198   198   {}   {}   59   111   170   55   184   229   175   72   109   188   202   249   200   99   150   161   105   120   276   276   276   {}   {}}
+
+do_execsql_test 1.13.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {168   134   218   191   212   229   240   213   234   196   223   44   92   109   105   136   146   65   156   132   154   102   123   119   160   152   146   147   136   243   261   263   210   11   79   63   84   78   120   87   162   124   141   138   227   228   179   231   234   280   28   41   124   57   130   92   57   110   114   136   147   167   110   180   193   191   252   187   179   206   181   221   279   76   78   80   116   117   71   80   171   173   177   157   161   179   214   225   182   209   269   271   235   229   103   74   131   133   113   74   87   145   190   161   169   140   111   132   213   187   208   223   235   189   274   33   108   65   26   70   51   52   128   109   121   124   85   107   150   195   226   172   173   187   223   207   212   119   50   124   96   110   87   48   110   173   124   197   211   144   196   195   200   202   224   216   207   52   83   103   36   88   171   158   156   198   121   210   132   210   239   250   232   105   99   72   55   120   59   109   150   161   111   101   200   175   188   170   202   163   184   163   172   276   249   229   229   229   {}   {}}
+
+do_execsql_test 1.13.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -3081,6 +3393,30 @@ do_test 1.14.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.14.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207}
+
+do_execsql_test 1.14.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {223   223   223   223   223   223   223   223   223   223   223   223   223   223   223   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   232   232   232   232   232   232   232   232   232   232   232   232   232   232   232   232   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229}
+
+do_execsql_test 1.14.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276}
+
+do_execsql_test 1.14.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {240   240   240   240   240   240   240   240   240   240   240   240   240   240   240   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   198   198   198   198   198   198   198   198   198   198   198   198   198   198   198   198   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276}
+
+do_execsql_test 1.14.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229}
+
+do_execsql_test 1.14.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83}
@@ -3297,6 +3633,30 @@ do_test 1.15.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.15.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207}
+
+do_execsql_test 1.15.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {223   223   223   223   223   223   223   223   223   223   223   223   223   223   223   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   232   232   232   232   232   232   232   232   232   232   232   232   232   232   232   232   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229}
+
+do_execsql_test 1.15.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276}
+
+do_execsql_test 1.15.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {240   240   240   240   240   240   240   240   240   240   240   240   240   240   240   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   198   198   198   198   198   198   198   198   198   198   198   198   198   198   198   198   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276}
+
+do_execsql_test 1.15.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229}
+
+do_execsql_test 1.15.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -3513,6 +3873,30 @@ do_test 1.16.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.16.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207}
+
+do_execsql_test 1.16.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {223   223   223   223   223   223   223   223   223   223   223   223   223   223   223   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   232   232   232   232   232   232   232   232   232   232   232   232   232   232   232   232   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229}
+
+do_execsql_test 1.16.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276}
+
+do_execsql_test 1.16.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {240   240   240   240   240   240   240   240   240   240   240   240   240   240   240   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   280   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   198   198   198   198   198   198   198   198   198   198   198   198   198   198   198   198   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276}
+
+do_execsql_test 1.16.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229}
+
+do_execsql_test 1.16.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
+
 do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7   {}   {}   {}   {}}
@@ -3729,4 +4113,28 @@ do_test 1.17.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_execsql_test 1.17.9.1 {
+  SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   {}   {}   {}   {}}
+
+do_execsql_test 1.17.9.2 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {223   223   223   223   223   223   223   223   223   223   223   {}   {}   {}   {}   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   210   {}   {}   {}   {}   280   280   280   280   280   280   280   280   280   280   280   280   280   {}   {}   {}   {}   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   279   {}   {}   {}   {}   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   {}   {}   {}   {}   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   {}   {}   {}   {}   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   212   {}   {}   {}   {}   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   {}   {}   {}   {}   232   232   232   232   232   232   232   232   232   232   232   232   {}   {}   {}   {}   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   {}   {}   {}   {}}
+
+do_execsql_test 1.17.9.3 {
+  SELECT last_value(a+b) OVER ( ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   {}   {}   {}   {}}
+
+do_execsql_test 1.17.9.4 {
+  SELECT last_value(a+b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {240   240   240   240   240   240   240   240   240   240   240   {}   {}   {}   {}   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   263   {}   {}   {}   {}   280   280   280   280   280   280   280   280   280   280   280   280   280   {}   {}   {}   {}   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   252   {}   {}   {}   {}   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   171   {}   {}   {}   {}   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   274   {}   {}   {}   {}   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   226   {}   {}   {}   {}   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   124   {}   {}   {}   {}   198   198   198   198   198   198   198   198   198   198   198   198   {}   {}   {}   {}   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   276   {}   {}   {}   {}}
+
+do_execsql_test 1.17.9.5 {
+  SELECT last_value(a+b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   229   {}   {}   {}   {}}
+
+do_execsql_test 1.17.9.6 {
+  SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 finish_test

From 8c2b6d784b44c601ea600e8cfca9a222ce66b54b Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 5 Jun 2018 20:45:20 +0000
Subject: [PATCH 022/154] Add the OP_IfNoHope and OP_SeekHit opcodes used to
 reduce the number of unnecessary sqlite3BtreeMovetoUnpacked() calls when
 checking for an early exit on IN-operator loops.  Futher optimizations are
 likely possible here.

FossilOrigin-Name: 6bf251af4347165a470d39457d61ab6d2a06c206db8f30bd8be5dbb388ae8a5b
---
 manifest        | 18 ++++++++--------
 manifest.uuid   |  2 +-
 src/vdbe.c      | 56 ++++++++++++++++++++++++++++++++++++++++++++++++-
 src/vdbeInt.h   |  1 +
 src/where.c     |  2 +-
 src/wherecode.c |  7 +++++++
 6 files changed, 74 insertions(+), 12 deletions(-)

diff --git a/manifest b/manifest
index ef0a40552a..f16c3e72be 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Use\san\sOP_NotFound\sopcode\sto\scancel\sfutile\sIN\soperators\searly.\s\sThe\scurrent\nimplementation\sis\ssuboptimal\sbecause\sit\salways\sruns\steh\sOP_NotFound.\s\sThis\nstill\sneeds\sto\sbe\senhanced\sto\sonly\sdo\sthe\sOP_NotFound\sif\sno\sresults\shave\sbeen\nseen\son\sthe\scurrent\sloop.
-D 2018-06-05T15:16:25.289
+C Add\sthe\sOP_IfNoHope\sand\sOP_SeekHit\sopcodes\sused\sto\sreduce\sthe\snumber\sof\nunnecessary\ssqlite3BtreeMovetoUnpacked()\scalls\swhen\schecking\sfor\san\searly\nexit\son\sIN-operator\sloops.\s\sFuther\soptimizations\sare\slikely\spossible\shere.
+D 2018-06-05T20:45:20.959
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -565,9 +565,9 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 37730af7540033135909ecaee3667dddec043293428d8718546d0d64ba4a5025
-F src/vdbe.c fcec6e9ad743f92f0a557f0b61728d001581ee96e18c3e5c7d09702afde79b38
+F src/vdbe.c 1c429876d32a96fdebd8f8b31f735c6236a8fb04395e8f731784767b909d2504
 F src/vdbe.h e3f43bcc27ff30b0f25a6104d0cb5657e1c4b5e1b5cd2dd2216d5bcc2156a746
-F src/vdbeInt.h 42d3e65ea0c664f6d9bc9a53de645c0baf8566ff0188409ff3b8d2abc327bc17
+F src/vdbeInt.h d299d7a19853463dac418de0d97f2dd9cb4ddb495a45c93364e2daee109ba0ef
 F src/vdbeapi.c 765a0bbe01311626417de6cb743f7f25f9f98435c98a9df4bb0714d11014633d
 F src/vdbeaux.c b00d35805a2b326d1371ab7ce8f3a95c8af35b1431367ffe482fc2c735d69fb1
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
@@ -579,9 +579,9 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c a16f982d998e87067ea64d30602e008a24f767e6e502d7cdcddf0c858cdd9392
+F src/where.c 83b6cf94d98ff9a2185071aeed664a57922999a6dd58a03dbb379d472314e4b2
 F src/whereInt.h b6ab96d9c1e48d029eaaee8f9b6d05e6a2405af0ad68f684e75f21c46837ae11
-F src/wherecode.c f941a484fd9f7a197099efe384be7a64c5588f27bbf92151705dae92eea7dbfc
+F src/wherecode.c 12d88d0195a50b456c5dbeb3c44cb7d7087f591526968e8bde7a38b5534cd0ee
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 047295c588e9fdf2ffa4e69e166f177fd193309531dc6a9ac755fb7a763adb72
-R 5115dc97bd8a224dc2a595e1eda36012
+P 87a9fc504f9a78caf7a7949cc7ada0a19d61bfab51bb49a00a1607194c116212
+R 06e6068952816b400d67d388d7704be4
 U drh
-Z 3e5cea1662f3befc7bce81830cbd86be
+Z 5b6bba2950cd0e23a4c3733c8955eb63
diff --git a/manifest.uuid b/manifest.uuid
index 20f95cb085..9568d071fe 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-87a9fc504f9a78caf7a7949cc7ada0a19d61bfab51bb49a00a1607194c116212
\ No newline at end of file
+6bf251af4347165a470d39457d61ab6d2a06c206db8f30bd8be5dbb388ae8a5b
\ No newline at end of file
diff --git a/src/vdbe.c b/src/vdbe.c
index 27bf56eb46..4a325b207b 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -4034,6 +4034,25 @@ seek_not_found:
   break;
 }
 
+/* Opcode: SeekHit P1 P2 * * *
+** Synopsis: seekHit=P2
+**
+** Set the seekHit flag on cursor P1 to the value in P2.
+** The seekHit flag is used by the IfNoHope opcode.
+**
+** P1 must be a valid b-tree cursor.  P2 must be a boolean value,
+** either 0 or 1.
+*/
+case OP_SeekHit: {
+  VdbeCursor *pC;
+  assert( pOp->p1>=0 && pOp->p1<p->nCursor );
+  pC = p->apCsr[pOp->p1];
+  assert( pC!=0 );
+  assert( pOp->p2==0 || pOp->p2==1 );
+  pC->seekHit = pOp->p2 & 1;
+  break;
+}
+
 /* Opcode: Found P1 P2 P3 P4 *
 ** Synopsis: key=r[P3@P4]
 **
@@ -4068,7 +4087,34 @@ seek_not_found:
 ** advanced in either direction.  In other words, the Next and Prev
 ** opcodes do not work after this operation.
 **
-** See also: Found, NotExists, NoConflict
+** See also: Found, NotExists, NoConflict, IfNoHope
+*/
+/* Opcode: IfNoHope P1 P2 P3 P4 *
+** Synopsis: key=r[P3@P4]
+**
+** Register P3 is the first of P4 registers that form an unpacked
+** record.
+**
+** Cursor P1 is on an index btree.  If the seekHit flag is set on P1, then
+** this opcode is a no-op.  But if the seekHit flag of P1 is clear, then
+** check to see if there is any entry in P1 that matches the
+** prefix identified by P3 and P4.  If no entry matches the prefix,
+** jump to P2.  Otherwise fall through.
+**
+** This opcode behaves like OP_NotFound if the seekHit
+** flag is clear and it behaves like OP_Noop if the seekHit flag is set.
+**
+** This opcode is used in IN clause processing for a multi-column key.
+** If an IN clause is attached to an element of the key other than the
+** left-most element, and if there are no matches on the most recent
+** seek over the whole key, then it might be that one of the key element
+** to the left is prohibiting a match, and hence there is "no hope" of
+** any match regardless of how many IN clause elements are checked.
+** In such a case, we abandon the IN clause search early, using this
+** opcode.  The opcode name comes from the fact that the
+** jump is taken if there is "no hope" of achieving a match.
+**
+** See also: NotFound, SeekHit
 */
 /* Opcode: NoConflict P1 P2 P3 P4 *
 ** Synopsis: key=r[P3@P4]
@@ -4093,6 +4139,14 @@ seek_not_found:
 **
 ** See also: NotFound, Found, NotExists
 */
+case OP_IfNoHope: {     /* jump, in3 */
+  VdbeCursor *pC;
+  assert( pOp->p1>=0 && pOp->p1<p->nCursor );
+  pC = p->apCsr[pOp->p1];
+  assert( pC!=0 );
+  if( pC->seekHit ) break;
+  /* Fall through into OP_NotFound */
+}
 case OP_NoConflict:     /* jump, in3 */
 case OP_NotFound:       /* jump, in3 */
 case OP_Found: {        /* jump, in3 */
diff --git a/src/vdbeInt.h b/src/vdbeInt.h
index 0f10e3759d..dd8e29108a 100644
--- a/src/vdbeInt.h
+++ b/src/vdbeInt.h
@@ -85,6 +85,7 @@ struct VdbeCursor {
   Bool isEphemeral:1;     /* True for an ephemeral table */
   Bool useRandomRowid:1;  /* Generate new record numbers semi-randomly */
   Bool isOrdered:1;       /* True if the table is not BTREE_UNORDERED */
+  Bool seekHit:1;         /* See the OP_SeekHit and OP_IfNoHope opcodes */
   Btree *pBtx;            /* Separate file holding temporary table */
   i64 seqCount;           /* Sequence counter */
   int *aAltMap;           /* Mapping from table to index column numbers */
diff --git a/src/where.c b/src/where.c
index d31e0bb09d..bfb848f426 100644
--- a/src/where.c
+++ b/src/where.c
@@ -5084,7 +5084,7 @@ void sqlite3WhereEnd(WhereInfo *pWInfo){
         sqlite3VdbeJumpHere(v, pIn->addrInTop+1);
         if( pIn->eEndLoopOp!=OP_Noop ){
           if( pIn->nPrefix ){
-            sqlite3VdbeAddOp4Int(v, OP_NotFound, pLevel->iIdxCur,
+            sqlite3VdbeAddOp4Int(v, OP_IfNoHope, pLevel->iIdxCur,
                               sqlite3VdbeCurrentAddr(v)+2,
                               pIn->iBase, pIn->nPrefix);
             VdbeCoverage(v);
diff --git a/src/wherecode.c b/src/wherecode.c
index 1c653c9f59..a20a9808e1 100644
--- a/src/wherecode.c
+++ b/src/wherecode.c
@@ -1664,6 +1664,9 @@ Bitmask sqlite3WhereCodeOneLoopStart(
       ** above has already left the cursor sitting on the correct row,
       ** so no further seeking is needed */
     }else{
+      if( pLoop->wsFlags & WHERE_IN_ABLE ){
+        sqlite3VdbeAddOp1(v, OP_SeekHit, iIdxCur);
+      }
       op = aStartOp[(start_constraints<<2) + (startEq<<1) + bRev];
       assert( op!=0 );
       sqlite3VdbeAddOp4Int(v, op, iIdxCur, addrNxt, regBase, nConstraint);
@@ -1727,6 +1730,10 @@ Bitmask sqlite3WhereCodeOneLoopStart(
       testcase( op==OP_IdxLE );  VdbeCoverageIf(v, op==OP_IdxLE );
     }
 
+    if( pLoop->wsFlags & WHERE_IN_ABLE ){
+      sqlite3VdbeAddOp2(v, OP_SeekHit, iIdxCur, 1);
+    }
+
     /* Seek the table cursor, if required */
     if( omitTable ){
       /* pIdx is a covering index.  No need to access the main table. */

From 397776a8235cc443bc8158f2f7c27932612c31d9 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Wed, 6 Jun 2018 17:45:51 +0000
Subject: [PATCH 023/154] Another minor optimization to OP_Transaction.

FossilOrigin-Name: d80077aee3904e5d93164b342cae14d813de8e84e567462412751e06c7487d41
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/vdbe.c    | 14 +++++++-------
 3 files changed, 14 insertions(+), 14 deletions(-)

diff --git a/manifest b/manifest
index 9698adcb8a..f37a81d248 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Change\ssqlite3BtreeBeginTrans()\sto\sreturn\sthe\sBTREE_SCHEMA_COOKIE,\sfor\sa\nsmall\sspeed\simprovement\swhen\sstarting\snew\stransactions.
-D 2018-06-06T16:28:40.777
+C Another\sminor\soptimization\sto\sOP_Transaction.
+D 2018-06-06T17:45:51.934
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -565,7 +565,7 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c 6d399cc8e10a7c1b2103e5bc21874cbbb645bab39ae5839a124547de9c67281d
+F src/vdbe.c ffa02701cda500e0770abf139d860447e546949c5d55acab58ad8239ad92daf0
 F src/vdbe.h e3f43bcc27ff30b0f25a6104d0cb5657e1c4b5e1b5cd2dd2216d5bcc2156a746
 F src/vdbeInt.h 42d3e65ea0c664f6d9bc9a53de645c0baf8566ff0188409ff3b8d2abc327bc17
 F src/vdbeapi.c 765a0bbe01311626417de6cb743f7f25f9f98435c98a9df4bb0714d11014633d
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 27291f2d7fd4dadf2ee9b9a7d1373158cadfbaf83c3654b00d7030dc921770c6
-R 16b62aa5de77d5bb1612bf4110bec5fd
+P a10662aa915ae2b5a78b3e10920350d32255b2d6b1a8aac0aba1ad173b07ed2b
+R 0414460bef03f5574242d45104db8a7b
 U drh
-Z 863a8fc1288d57d76620b26ae04bd21c
+Z 426a1576c4740e63608a04eef5bea89e
diff --git a/manifest.uuid b/manifest.uuid
index 041e5a4660..60bbc07de5 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-a10662aa915ae2b5a78b3e10920350d32255b2d6b1a8aac0aba1ad173b07ed2b
\ No newline at end of file
+d80077aee3904e5d93164b342cae14d813de8e84e567462412751e06c7487d41
\ No newline at end of file
diff --git a/src/vdbe.c b/src/vdbe.c
index 3627e5aa37..ba917e1c85 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -3203,7 +3203,6 @@ case OP_AutoCommit: {
 case OP_Transaction: {
   Btree *pBt;
   int iMeta = 0;
-  int iGen = 0;
 
   assert( p->bIsReader );
   assert( p->readOnly==0 || pOp->p2==0 );
@@ -3249,16 +3248,17 @@ case OP_Transaction: {
       p->nStmtDefCons = db->nDeferredCons;
       p->nStmtDefImmCons = db->nDeferredImmCons;
     }
-
-    /* Gather the schema version number for checking:
+  }
+  assert( pOp->p5==0 || pOp->p4type==P4_INT32 );
+  if( pOp->p5
+   && (iMeta!=pOp->p3
+      || db->aDb[pOp->p1].pSchema->iGeneration!=pOp->p4.i)
+  ){
+    /*
     ** IMPLEMENTATION-OF: R-03189-51135 As each SQL statement runs, the schema
     ** version is checked to ensure that the schema has not changed since the
     ** SQL statement was prepared.
     */
-    iGen = db->aDb[pOp->p1].pSchema->iGeneration;
-  }
-  assert( pOp->p5==0 || pOp->p4type==P4_INT32 );
-  if( pOp->p5 && (iMeta!=pOp->p3 || iGen!=pOp->p4.i) ){
     sqlite3DbFree(db, p->zErrMsg);
     p->zErrMsg = sqlite3DbStrDup(db, "database schema has changed");
     /* If the schema-cookie from the database file matches the cookie 

From 685a50ad74167413a4a716d318051b57e72e277d Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Wed, 6 Jun 2018 18:50:50 +0000
Subject: [PATCH 024/154] Fix the sqlite3BeginTrans() calls within the snapshot
 extension.

FossilOrigin-Name: 1fef7ad25b6a8e59163ac57f5cf0412bfc5b0e9446fd782f5f0a7d7ee11741fc
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/main.c    |  6 +++---
 3 files changed, 10 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index f37a81d248..26f68548e3 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Another\sminor\soptimization\sto\sOP_Transaction.
-D 2018-06-06T17:45:51.934
+C Fix\sthe\ssqlite3BeginTrans()\scalls\swithin\sthe\ssnapshot\sextension.
+D 2018-06-06T18:50:50.582
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -459,7 +459,7 @@ F src/in-operator.md 10cd8f4bcd225a32518407c2fb2484089112fd71
 F src/insert.c 76b1dc902e4c3930d9a17a40cd8ee2e94b1fd8cce766672caef164a6d5d4df1d
 F src/legacy.c 134ab3e3fae00a0f67a5187981d6935b24b337bcf0f4b3e5c9fa5763da95bf4e
 F src/loadext.c 6aae5739198d96c51ae6eb97c4a5b1744c22ed7a5a565a5399a717780d48a36b
-F src/main.c 0402e234155e0aad75fe6cd204864f492495be8605a50b4b3d4d72895cced3ce
+F src/main.c a086ab7d6e4e3f07bd5789d16f977d425f9482e7b3baeeb2f17bde0e6bfb2bc1
 F src/malloc.c 07295435093ce354c6d9063ac05a2eeae28bd251d2e63c48b3d67c12c76f7e18
 F src/mem0.c 6a55ebe57c46ca1a7d98da93aaa07f99f1059645
 F src/mem1.c c12a42539b1ba105e3707d0e628ad70e611040d8f5e38cf942cee30c867083de
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P a10662aa915ae2b5a78b3e10920350d32255b2d6b1a8aac0aba1ad173b07ed2b
-R 0414460bef03f5574242d45104db8a7b
+P d80077aee3904e5d93164b342cae14d813de8e84e567462412751e06c7487d41
+R 171a49b9aa8a65c0e7fed5c4fb894ba2
 U drh
-Z 426a1576c4740e63608a04eef5bea89e
+Z a4c79e357ad5b38e16700f26935c42bb
diff --git a/manifest.uuid b/manifest.uuid
index 60bbc07de5..791697ea26 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-d80077aee3904e5d93164b342cae14d813de8e84e567462412751e06c7487d41
\ No newline at end of file
+1fef7ad25b6a8e59163ac57f5cf0412bfc5b0e9446fd782f5f0a7d7ee11741fc
\ No newline at end of file
diff --git a/src/main.c b/src/main.c
index 8e89cc553a..a2b994f9be 100644
--- a/src/main.c
+++ b/src/main.c
@@ -4115,7 +4115,7 @@ int sqlite3_snapshot_get(
     if( iDb==0 || iDb>1 ){
       Btree *pBt = db->aDb[iDb].pBt;
       if( 0==sqlite3BtreeIsInTrans(pBt) ){
-        rc = sqlite3BtreeBeginTrans(pBt, 0);
+        rc = sqlite3BtreeBeginTrans(pBt, 0, 0);
         if( rc==SQLITE_OK ){
           rc = sqlite3PagerSnapshotGet(sqlite3BtreePager(pBt), ppSnapshot);
         }
@@ -4153,7 +4153,7 @@ int sqlite3_snapshot_open(
       if( 0==sqlite3BtreeIsInReadTrans(pBt) ){
         rc = sqlite3PagerSnapshotOpen(sqlite3BtreePager(pBt), pSnapshot);
         if( rc==SQLITE_OK ){
-          rc = sqlite3BtreeBeginTrans(pBt, 0);
+          rc = sqlite3BtreeBeginTrans(pBt, 0, 0);
           sqlite3PagerSnapshotOpen(sqlite3BtreePager(pBt), 0);
         }
       }
@@ -4185,7 +4185,7 @@ int sqlite3_snapshot_recover(sqlite3 *db, const char *zDb){
   if( iDb==0 || iDb>1 ){
     Btree *pBt = db->aDb[iDb].pBt;
     if( 0==sqlite3BtreeIsInReadTrans(pBt) ){
-      rc = sqlite3BtreeBeginTrans(pBt, 0);
+      rc = sqlite3BtreeBeginTrans(pBt, 0, 0);
       if( rc==SQLITE_OK ){
         rc = sqlite3PagerSnapshotRecover(sqlite3BtreePager(pBt));
         sqlite3BtreeCommit(pBt);

From 4011c44322f6e7c3a81161501036053d31dc6692 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Wed, 6 Jun 2018 19:48:19 +0000
Subject: [PATCH 025/154] Rearrange the order of some checks in the
 integrity_check pragma for a very slight performance gain.

FossilOrigin-Name: 4b853f020570bf4af1b14e03f35764c7d7a03a40af58efc783e06f2b883cef78
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/pragma.c  |  8 +++++---
 3 files changed, 12 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index 26f68548e3..e9d21e6725 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sthe\ssqlite3BeginTrans()\scalls\swithin\sthe\ssnapshot\sextension.
-D 2018-06-06T18:50:50.582
+C Rearrange\sthe\sorder\sof\ssome\schecks\sin\sthe\sintegrity_check\spragma\sfor\sa\svery\nslight\sperformance\sgain.
+D 2018-06-06T19:48:19.360
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -488,7 +488,7 @@ F src/parse.y 0b81472496809693a139067fea1fe3f14a7be8aa26c8f18bb327034d1252a06a
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
-F src/pragma.c c0d13c0e82a9197aef5533d63300c5b0c8a216ae1fd14ada64e1f12f398d7e82
+F src/pragma.c 71c585f1d26e14b931fa4573f587933d6dfddecd9d9001b0f126f74f7306bf87
 F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c e966ecc97c3671ff0e96227c8c877b83f2d33ea371ee190bbf1698b36b5605c0
 F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P d80077aee3904e5d93164b342cae14d813de8e84e567462412751e06c7487d41
-R 171a49b9aa8a65c0e7fed5c4fb894ba2
+P 1fef7ad25b6a8e59163ac57f5cf0412bfc5b0e9446fd782f5f0a7d7ee11741fc
+R 93609cd66c5b427e1d6471bfc6fce490
 U drh
-Z a4c79e357ad5b38e16700f26935c42bb
+Z f75a4ef6d01483c8588f9c5a8cdbf911
diff --git a/manifest.uuid b/manifest.uuid
index 791697ea26..2ac47cefb3 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-1fef7ad25b6a8e59163ac57f5cf0412bfc5b0e9446fd782f5f0a7d7ee11741fc
\ No newline at end of file
+4b853f020570bf4af1b14e03f35764c7d7a03a40af58efc783e06f2b883cef78
\ No newline at end of file
diff --git a/src/pragma.c b/src/pragma.c
index 4699c96a1e..02510188f3 100644
--- a/src/pragma.c
+++ b/src/pragma.c
@@ -1564,6 +1564,11 @@ void sqlite3Pragma(
         assert( sqlite3NoTempsInRange(pParse,1,7+j) );
         sqlite3VdbeAddOp2(v, OP_Rewind, iDataCur, 0); VdbeCoverage(v);
         loopTop = sqlite3VdbeAddOp2(v, OP_AddImm, 7, 1);
+        if( !isQuick ){
+          /* Sanity check on record header decoding */
+          sqlite3VdbeAddOp3(v, OP_Column, iDataCur, pTab->nCol-1, 3);
+          sqlite3VdbeChangeP5(v, OPFLAG_TYPEOFARG);
+        }
         /* Verify that all NOT NULL columns really are NOT NULL */
         for(j=0; j<pTab->nCol; j++){
           char *zErr;
@@ -1606,9 +1611,6 @@ void sqlite3Pragma(
           sqlite3ExprListDelete(db, pCheck);
         }
         if( !isQuick ){ /* Omit the remaining tests for quick_check */
-          /* Sanity check on record header decoding */
-          sqlite3VdbeAddOp3(v, OP_Column, iDataCur, pTab->nCol-1, 3);
-          sqlite3VdbeChangeP5(v, OPFLAG_TYPEOFARG);
           /* Validate index entries for the current row */
           for(j=0, pIdx=pTab->pIndex; pIdx; pIdx=pIdx->pNext, j++){
             int jmp2, jmp3, jmp4, jmp5;

From d882108a01c709a03407d31c215c6878d99f6c36 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Wed, 6 Jun 2018 20:29:19 +0000
Subject: [PATCH 026/154] Small performance optimization in
 sqlite3VdbeRecordCompareWithSkip() for the common case where the comparison
 is equal.

FossilOrigin-Name: 1e616e256a4fb1b64271706fdfa77dc5790eba0a2f0e619544e169bc61d7c805
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/vdbeaux.c |  3 ++-
 3 files changed, 9 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index e9d21e6725..3485cebcc1 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Rearrange\sthe\sorder\sof\ssome\schecks\sin\sthe\sintegrity_check\spragma\sfor\sa\svery\nslight\sperformance\sgain.
-D 2018-06-06T19:48:19.360
+C Small\sperformance\soptimization\sin\ssqlite3VdbeRecordCompareWithSkip()\sfor\nthe\scommon\scase\swhere\sthe\scomparison\sis\sequal.
+D 2018-06-06T20:29:19.541
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -569,7 +569,7 @@ F src/vdbe.c ffa02701cda500e0770abf139d860447e546949c5d55acab58ad8239ad92daf0
 F src/vdbe.h e3f43bcc27ff30b0f25a6104d0cb5657e1c4b5e1b5cd2dd2216d5bcc2156a746
 F src/vdbeInt.h 42d3e65ea0c664f6d9bc9a53de645c0baf8566ff0188409ff3b8d2abc327bc17
 F src/vdbeapi.c 765a0bbe01311626417de6cb743f7f25f9f98435c98a9df4bb0714d11014633d
-F src/vdbeaux.c b00d35805a2b326d1371ab7ce8f3a95c8af35b1431367ffe482fc2c735d69fb1
+F src/vdbeaux.c 20c12c6911e5cf0a3e013f3e6b364a2cdc6e9facd2b41cec39ef37d4b4c0c759
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
 F src/vdbemem.c 803323406d8623a7619ea5d5f74016697eeaed19c02b98ce9c3013e77dbe1c38
 F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2f
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 1fef7ad25b6a8e59163ac57f5cf0412bfc5b0e9446fd782f5f0a7d7ee11741fc
-R 93609cd66c5b427e1d6471bfc6fce490
+P 4b853f020570bf4af1b14e03f35764c7d7a03a40af58efc783e06f2b883cef78
+R 7344c5deda24a0cfa9adaed6fbe1c4f5
 U drh
-Z f75a4ef6d01483c8588f9c5a8cdbf911
+Z 8ab3115bce5174cc71ba7755437d5270
diff --git a/manifest.uuid b/manifest.uuid
index 2ac47cefb3..a7ffb0a3f3 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-4b853f020570bf4af1b14e03f35764c7d7a03a40af58efc783e06f2b883cef78
\ No newline at end of file
+1e616e256a4fb1b64271706fdfa77dc5790eba0a2f0e619544e169bc61d7c805
\ No newline at end of file
diff --git a/src/vdbeaux.c b/src/vdbeaux.c
index 38ef85f0ec..395e700d17 100644
--- a/src/vdbeaux.c
+++ b/src/vdbeaux.c
@@ -4284,10 +4284,11 @@ int sqlite3VdbeRecordCompareWithSkip(
     }
 
     i++;
+    if( i==pPKey2->nField ) break;
     pRhs++;
     d1 += sqlite3VdbeSerialTypeLen(serial_type);
     idx1 += sqlite3VarintLen(serial_type);
-  }while( idx1<(unsigned)szHdr1 && i<pPKey2->nField && d1<=(unsigned)nKey1 );
+  }while( idx1<(unsigned)szHdr1 && d1<=(unsigned)nKey1 );
 
   /* No memory allocation is ever used on mem1.  Prove this using
   ** the following assert().  If the assert() fails, it indicates a

From ec891fd40c2249b04b2ec2143aebcb2a9377419d Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 6 Jun 2018 20:51:02 +0000
Subject: [PATCH 027/154] Add implementation of nth_value() window function.

FossilOrigin-Name: eb1fb420ac70857e7ca4cbad78be15a27bee8f915ba2da080c7efa1879c06c31
---
 manifest          |  20 +--
 manifest.uuid     |   2 +-
 src/window.c      | 139 +++++++++++----
 test/window3.tcl  |  20 ++-
 test/window3.test | 442 ++++++++++++++++++++++++++++++++++++++++++++--
 test/window4.tcl  |  38 ++++
 test/window4.test |  40 +++++
 7 files changed, 639 insertions(+), 62 deletions(-)

diff --git a/manifest b/manifest
index 1f21a7fe0f..89adb19632 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\simplementation\sof\slast_value()\swindow\sfunction.
-D 2018-06-05T16:16:17.495
+C Add\simplementation\sof\snth_value()\swindow\sfunction.
+D 2018-06-06T20:51:02.999
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -583,7 +583,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 7f9f2c8a89e563a6928ed9ddf5ed0fb5d4883500c68a55721665f24aad5fc58f
+F src/window.c 1da8978defdd5e8b99b3bee0d08bf65f3aa18637e6b7750bc075438899be1f5c
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1619,10 +1619,10 @@ F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 905fe0842eacfd61e2f30ef7b0a84a7325ffa5cbbcd717ca30f25a142c3bca90
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl 84bf567e752899b7db9b8edcf23c11a57a4de7d93e578652d817baa1233c4077
-F test/window3.test 9c18697bb0af3f27d9aab23bcf4c4c88c8fe873701b7886c000282ca60347e69
-F test/window4.tcl 3f81bec5bc42fcde751a92bb73ded3887c4448f024de40aff9dc2be798c1dd75
-F test/window4.test 41754c453131017f6bea755e9aef47076090920af2eb837a33e01362717e88f9
+F test/window3.tcl e3053bb5ea6b7f91e58789fee18b374caf5003a7f6eb24eefd9d539c6633b77b
+F test/window3.test dcd30a2a35c47b47d766917c4956680f2a1e8c946b59434e8578ce07a2ae2683
+F test/window4.tcl 23918c0c0e3da95087c5993fab4f049962aec3576f9cc158e37faf7dead0351e
+F test/window4.test 0d89f694ffa9857e22b48e4b50a2d5284288c852eb1947a868b51af937b2b9ac
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1739,7 +1739,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 3f093f608c6cc193aac77e7eafa8006c27a7776682d9d7b6e743710dff41ae42
-R 3cf87e0a0715370d40b3ff86c997d2e4
+P 2493ce1a402888f6a8f25e03052c25a4e9bca740639e98cb614f5e5160ac25d3
+R 88214f5f8fb88536d59f61a6355a8292
 U dan
-Z c7f65d7f0faab7b9cbdaddaf9a146812
+Z 38ba5feb8ad2bb55b7a49bef45412de5
diff --git a/manifest.uuid b/manifest.uuid
index 71eb302388..e8eeadce7f 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-2493ce1a402888f6a8f25e03052c25a4e9bca740639e98cb614f5e5160ac25d3
\ No newline at end of file
+eb1fb420ac70857e7ca4cbad78be15a27bee8f915ba2da080c7efa1879c06c31
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 94dc50e7cc..38ca4c2826 100644
--- a/src/window.c
+++ b/src/window.c
@@ -618,11 +618,11 @@ int sqlite3WindowCompare(Parse *pParse, Window *p1, Window *p2){
 static void windowAggInit(Parse *pParse, Window *pMWin){
   Window *pWin;
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    int funcFlags = pWin->pFunc->funcFlags;
-    if( (funcFlags & SQLITE_FUNC_MINMAX) && pWin->eStart!=TK_UNBOUNDED ){
+    Vdbe *v = sqlite3GetVdbe(pParse);
+    FuncDef *p = pWin->pFunc;
+    if( (p->funcFlags & SQLITE_FUNC_MINMAX) && pWin->eStart!=TK_UNBOUNDED ){
       ExprList *pList = pWin->pOwner->x.pList;
       KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pList, 0, 0);
-      Vdbe *v = sqlite3GetVdbe(pParse);
       pWin->csrApp = pParse->nTab++;
       pWin->regApp = pParse->nMem+1;
       pParse->nMem += 3;
@@ -634,6 +634,17 @@ static void windowAggInit(Parse *pParse, Window *pMWin){
       sqlite3VdbeAppendP4(v, pKeyInfo, P4_KEYINFO);
       sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
     }
+    else if( p->xSFunc==nth_valueStepFunc ){
+      /* Allocate two registers at pWin->regApp. These will be used to
+      ** store the start and end index of the current frame.  */
+      assert( pMWin->iEphCsr );
+      pWin->regApp = pParse->nMem+1;
+      pWin->csrApp = pParse->nTab++;
+      pParse->nMem += 2;
+      sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp);
+      sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
+      sqlite3VdbeAddOp2(v, OP_OpenDup, pWin->csrApp, pMWin->iEphCsr);
+    }
   }
 }
 
@@ -703,7 +714,9 @@ static void windowAggStep(
       regArg = reg + pWin->iArgCol;
     }
 
-    if( pWin->csrApp ){
+    if( (pWin->pFunc->funcFlags & SQLITE_FUNC_MINMAX) 
+      && pWin->eStart!=TK_UNBOUNDED 
+    ){
       if( bInverse==0 ){
         sqlite3VdbeAddOp2(v, OP_AddImm, pWin->regApp+1, 1);
         sqlite3VdbeAddOp2(v, OP_SCopy, regArg, pWin->regApp);
@@ -714,6 +727,10 @@ static void windowAggStep(
         sqlite3VdbeAddOp1(v, OP_Delete, pWin->csrApp);
         sqlite3VdbeJumpHere(v, sqlite3VdbeCurrentAddr(v)-2);
       }
+    }else if( pWin->regApp ){
+      assert( pWin->pFunc->xSFunc==nth_valueStepFunc );
+      assert( bInverse==0 || bInverse==1 );
+      sqlite3VdbeAddOp2(v, OP_AddImm, pWin->regApp+1-bInverse, 1);
     }else{
       if( pWin->pFunc->funcFlags & SQLITE_FUNC_NEEDCOLL ){
         CollSeq *pColl;
@@ -732,7 +749,9 @@ static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
   Window *pWin;
 
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    if( pWin->csrApp ){
+    if( (pWin->pFunc->funcFlags & SQLITE_FUNC_MINMAX) 
+     && pWin->eStart!=TK_UNBOUNDED 
+    ){
       sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
       sqlite3VdbeAddOp1(v, OP_Last, pWin->csrApp);
       sqlite3VdbeAddOp3(v, OP_Column, pWin->csrApp, 0, pWin->regResult);
@@ -740,6 +759,11 @@ static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
       if( bFinal ){
         sqlite3VdbeAddOp1(v, OP_ResetSorter, pWin->csrApp);
       }
+    }else if( pWin->regApp ){
+      if( bFinal ){
+        sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp);
+        sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
+      }
     }else{
       if( bFinal==0 ){
         sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
@@ -811,6 +835,56 @@ static void windowPartitionCache(
   sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
 }
 
+static void windowReturnOneRow(
+  Parse *pParse,
+  Window *pMWin,
+  int regGosub,
+  int addrGosub
+){
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  Window *pWin;
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    FuncDef *pFunc = pWin->pFunc;
+    if( pFunc->xSFunc==nth_valueStepFunc ){
+      int csr = pWin->csrApp;
+      int lbl = sqlite3VdbeMakeLabel(v);
+      int tmpReg = sqlite3GetTempReg(pParse);
+      sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
+      sqlite3VdbeAddOp3(v, OP_Column, pWin->iEphCsr, pWin->iArgCol+1, tmpReg);
+      sqlite3VdbeAddOp3(v, OP_Add, tmpReg, pWin->regApp, tmpReg);
+      sqlite3VdbeAddOp3(v, OP_Gt, pWin->regApp+1, lbl, tmpReg);
+      sqlite3VdbeAddOp3(v, OP_SeekRowid, csr, lbl, tmpReg);
+      sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol, pWin->regResult);
+      sqlite3VdbeResolveLabel(v, lbl);
+      sqlite3ReleaseTempReg(pParse, tmpReg);
+    }
+  }
+  sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+}
+
+static void windowReturnRows(
+  Parse *pParse,
+  Window *pMWin,
+  int regCtr,
+  int bFinal,
+  int regGosub,
+  int addrGosub,
+  int regInvArg,
+  int regInvSize
+){
+  int addr;
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  windowAggFinal(pParse, pMWin, 0);
+  addr = sqlite3VdbeAddOp3(v, OP_IfPos, regCtr, sqlite3VdbeCurrentAddr(v)+2 ,1);
+  sqlite3VdbeAddOp2(v, OP_Goto, 0, 0);
+  windowReturnOneRow(pParse, pMWin, regGosub, addrGosub);
+  if( regInvArg ){
+    windowAggStep(pParse, pMWin, pMWin->iEphCsr, 1, regInvArg, regInvSize);
+  }
+  sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, addr);
+  sqlite3VdbeJumpHere(v, addr+1);   /* The OP_Goto */
+}
+
 /*
 ** ROWS BETWEEN <expr1> PRECEDING AND <expr2> FOLLOWING
 ** ----------------------------------------------------
@@ -1081,11 +1155,12 @@ static void windowCodeRowExprStep(
     }
     sqlite3VdbeAddOp2(v, OP_Integer, 0, regPeer);
   }
+
   windowAggFinal(pParse, pMWin, 0);
   if( bRange ){
     sqlite3VdbeAddOp2(v, OP_AddImm, regPeer, 1);
   }
-  sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+  windowReturnOneRow(pParse, pMWin, regGosub, addrGosub);
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)+2);
   sqlite3VdbeAddOp2(v, OP_Goto, 0, lblFlushDone);
   if( bRange ){
@@ -1203,6 +1278,8 @@ static void windowCodeCacheStep(
   int nArg;
 
   assert( (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_CURRENT) 
+       || (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_UNBOUNDED) 
+       || (pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_CURRENT) 
   );
 
   regNewPeer = pParse->nMem+1;
@@ -1236,39 +1313,33 @@ static void windowCodeCacheStep(
   addrRewind = sqlite3VdbeAddOp1(v, OP_Rewind, csrLead);
   sqlite3VdbeAddOp1(v, OP_Rewind, pMWin->iEphCsr);
 
-  if( pOrderBy ){
-    int addrJump;                 /* Address of OP_Jump below */
-    int iOff = pMWin->nBufferCol + (pPart ? pPart->nExpr : 0);
-    int regPeer = pMWin->regPart + (pPart ? pPart->nExpr : 0);
-    KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pOrderBy, 0, 0);
-
-    for(k=0; k<nPeer; k++){
-      sqlite3VdbeAddOp3(v, OP_Column, csrLead, iOff+k, regNewPeer+k);
+  if( pOrderBy && pMWin->eEnd==TK_CURRENT ){
+    int bCurrent = (pMWin->eEnd==TK_CURRENT && pMWin->eStart==TK_CURRENT);
+    int addrJump = 0;             /* Address of OP_Jump below */
+    if( pMWin->eType==TK_RANGE ){
+      int iOff = pMWin->nBufferCol + (pPart ? pPart->nExpr : 0);
+      int regPeer = pMWin->regPart + (pPart ? pPart->nExpr : 0);
+      KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pOrderBy, 0, 0);
+      for(k=0; k<nPeer; k++){
+        sqlite3VdbeAddOp3(v, OP_Column, csrLead, iOff+k, regNewPeer+k);
+      }
+      addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
+      sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
+      addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+      sqlite3VdbeAddOp3(v, OP_Copy, regNewPeer, regPeer, nPeer-1);
     }
 
-    addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
-    sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
-    addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
-    sqlite3VdbeAddOp3(v, OP_Copy, regNewPeer, regPeer, nPeer-1);
-    windowAggFinal(pParse, pMWin, 0);
-    sqlite3VdbeAddOp3(v, OP_IfPos, regCtr, sqlite3VdbeCurrentAddr(v)+2 , 1);
-    sqlite3VdbeAddOp2(v, OP_Goto, 0, sqlite3VdbeCurrentAddr(v)+3);
-    sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
-    sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)-3);
-    sqlite3VdbeJumpHere(v, addrJump);
+    windowReturnRows(pParse, pMWin, regCtr, 0, regGosub, addrGosub, 
+        (bCurrent ? regArg : 0), (bCurrent ? regSize : 0)
+    );
+    if( addrJump ) sqlite3VdbeJumpHere(v, addrJump);
   }
 
   windowAggStep(pParse, pMWin, csrLead, 0, regArg, regSize);
   sqlite3VdbeAddOp2(v, OP_AddImm, regCtr, 1);
-
   sqlite3VdbeAddOp2(v, OP_Next, csrLead, addrRewind+2);
 
-  windowAggFinal(pParse, pMWin, 1);
-
-  sqlite3VdbeAddOp3(v, OP_IfPos, regCtr, sqlite3VdbeCurrentAddr(v)+2 , 1);
-  sqlite3VdbeAddOp2(v, OP_Goto, 0, sqlite3VdbeCurrentAddr(v)+3);
-  sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
-  sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)-3);
+  windowReturnRows(pParse, pMWin, regCtr, 1, regGosub, addrGosub, 0, 0);
 
   sqlite3VdbeJumpHere(v, addrRewind);
   sqlite3VdbeJumpHere(v, addrRewind+1);
@@ -1497,7 +1568,10 @@ void sqlite3WindowCodeStep(
   }
 
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    if( pWin->pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE ){
+    FuncDef *pFunc = pWin->pFunc;
+    if( (pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE)
+     || (pFunc->xSFunc==nth_valueStepFunc)
+    ){
       windowCodeCacheStep(pParse, p, pWInfo, regGosub, addrGosub);
       return;
     }
@@ -1507,4 +1581,3 @@ void sqlite3WindowCodeStep(
   windowCodeDefaultStep(pParse, p, pWInfo, regGosub, addrGosub);
 }
 
-
diff --git a/test/window3.tcl b/test/window3.tcl
index 1365e2be03..e5e2aa5061 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -145,7 +145,7 @@ foreach {tn window} {
     SELECT percent_rank() OVER ( ORDER BY b%10 $window ) FROM t2
   "
   execsql_float_test 1.$tn.7.6 "
-    SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 $window ) FROM t2
+    SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 $window) FROM t2
   "
 
   execsql_float_test 1.$tn.8.1 "
@@ -205,6 +205,24 @@ foreach {tn window} {
     SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
   "
 
+  execsql_test 1.$tn.10.1 "
+    SELECT nth_value(b,b+1) OVER (ORDER BY a $window) FROM t2
+  "
+  execsql_test 1.$tn.9.2 "
+    SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a $window) FROM t2
+  "
+  execsql_test 1.$tn.9.3 "
+    SELECT nth_value(b,b+1) OVER ( ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.9.4 "
+    SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.9.5 "
+    SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.9.6 "
+    SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
+  "
 }
 
 finish_test
diff --git a/test/window3.test b/test/window3.test
index 5238817676..46864fa9fc 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -171,7 +171,7 @@ do_test 1.1.7.5 {
 
 do_test 1.1.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -297,6 +297,30 @@ do_execsql_test 1.1.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.1.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   2   {}   29   {}   {}   {}   46   62   62   {}   {}   16   {}   33   {}   {}   {}   {}   {}   78   {}   61   {}   59   77   {}   74   {}   27   {}   22   39   67   {}   54   85   74   90   7   61   90   62   {}   93   {}   {}   {}   {}   23   {}   74   93   30   23   29   3   1   41   {}   65   33   2   98   86   89   25   76   {}   40   38   15   13   96   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
+
+do_execsql_test 1.1.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   {}   21   {}   {}   {}   {}   21   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   12   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   98   {}   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   {}   {}   {}   {}   {}   {}   {}   29   29   {}   {}   {}}
+
+do_execsql_test 1.1.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   1   1   1   1   1   2   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
+
+do_execsql_test 1.1.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.1.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   90   1   30   {}   {}   {}   31   30   {}   {}   {}   1   40   {}   50   11   81   42   40   {}   50   81   40   {}   {}   50   {}   52   {}   41   81   {}   41   {}   2   30   2   81   82   53   {}   10   {}   {}   81   {}   41   10   81   30   81   {}   3   3   23   {}   3   61   80   {}   94   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
+
+do_execsql_test 1.1.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -411,7 +435,7 @@ do_test 1.2.7.5 {
 
 do_test 1.2.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -537,6 +561,30 @@ do_execsql_test 1.2.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.2.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   81   86   81   46   98   97   23   41   72   29   13   28   35   16   47   47   9   24   26   98   58   8   24   30   91   58   2   56   29   73   2   42   46   62   62   73   40   16   85   33   37   81   25   9   87   78   87   61   28   59   77   90   74   9   27   41   22   39   67   72   54   85   74   90   7   61   90   62   4   93   72   96   94   29   23   95   74   93   30   23   29   3   1   41   80   65   33   2   98   86   89   25   76   65   40   38   15   13   96   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
+
+do_execsql_test 1.2.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   21   21   {}   {}   {}   {}   21   {}   {}   {}   21   12   {}   72   {}   {}   {}   12   {}   72   {}   12   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   73   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   15   55   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   16   {}   26   26   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   47   {}   {}   {}   98   {}   {}   {}   {}   {}   98   {}   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   {}   {}   {}   {}   {}   9   {}   29   29   {}   {}   {}}
+
+do_execsql_test 1.2.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   1   1   1   1   2   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
+
+do_execsql_test 1.2.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   1   51   51   91   91   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   2   2   62   62   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   13   43   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   66   66   66   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   37   37   87   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   39   39   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.2.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   74   32   31   84   91   74   3   93   84   74   31   12   90   31   22   74   64   43   64   64   90   74   22   43   90   1   30   62   22   31   31   30   74   64   64   1   40   33   50   11   81   42   40   13   50   81   40   13   13   50   33   52   24   41   81   34   41   34   2   30   2   81   82   53   33   10   33   33   81   34   41   10   81   30   81   4   3   3   23   94   3   61   80   84   94   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
+
+do_execsql_test 1.2.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -651,7 +699,7 @@ do_test 1.3.7.5 {
 
 do_test 1.3.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -777,6 +825,30 @@ do_execsql_test 1.3.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.3.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -891,7 +963,7 @@ do_test 1.4.7.5 {
 
 do_test 1.4.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -1017,6 +1089,30 @@ do_execsql_test 1.4.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.4.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -1131,7 +1227,7 @@ do_test 1.5.7.5 {
 
 do_test 1.5.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -1257,6 +1353,30 @@ do_execsql_test 1.5.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.5.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   46   62   62   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   78   {}   61   {}   59   77   {}   74   {}   27   {}   {}   39   67   {}   54   85   74   90   7   61   90   62   {}   93   {}   {}   {}   {}   23   {}   74   93   {}   23   29   3   1   41   {}   65   33   2   98   86   89   25   76   {}   40   38   15   {}   {}   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
+
+do_execsql_test 1.5.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   29   {}   {}   {}}
+
+do_execsql_test 1.5.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
+
+do_execsql_test 1.5.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.5.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   90   1   30   {}   {}   {}   {}   30   {}   {}   {}   1   40   {}   50   11   81   {}   40   {}   50   81   40   {}   {}   50   {}   {}   {}   41   81   {}   41   {}   2   30   2   81   82   {}   {}   10   {}   {}   81   {}   41   10   81   30   81   {}   {}   3   23   {}   3   61   80   {}   {}   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
+
+do_execsql_test 1.5.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.6.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   0   74   74   74   74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83}
@@ -1371,7 +1491,7 @@ do_test 1.6.7.5 {
 
 do_test 1.6.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -1497,6 +1617,30 @@ do_execsql_test 1.6.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.6.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   77   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   1   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -1611,7 +1755,7 @@ do_test 1.7.7.5 {
 
 do_test 1.7.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -1737,6 +1881,30 @@ do_execsql_test 1.7.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.7.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   2   {}   29   {}   {}   {}   46   62   62   {}   {}   16   {}   33   {}   {}   {}   {}   {}   78   {}   61   {}   59   77   {}   74   {}   27   {}   22   39   67   {}   54   85   74   90   7   61   90   62   {}   93   {}   {}   {}   {}   23   {}   74   93   30   23   29   3   1   41   {}   65   33   2   98   86   89   25   76   {}   40   38   15   13   96   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
+
+do_execsql_test 1.7.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   {}   21   {}   {}   {}   {}   21   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   12   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   98   {}   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   {}   {}   {}   {}   {}   {}   {}   29   29   {}   {}   {}}
+
+do_execsql_test 1.7.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   1   1   1   1   1   2   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
+
+do_execsql_test 1.7.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.7.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   90   1   30   {}   {}   {}   31   30   {}   {}   {}   1   40   {}   50   11   81   42   40   {}   50   81   40   {}   {}   50   {}   52   {}   41   81   {}   41   {}   2   30   2   81   82   53   {}   10   {}   {}   81   {}   41   10   81   30   81   {}   3   3   23   {}   3   61   80   {}   94   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
+
+do_execsql_test 1.7.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83}
@@ -1851,7 +2019,7 @@ do_test 1.8.7.5 {
 
 do_test 1.8.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -1977,6 +2145,30 @@ do_execsql_test 1.8.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.8.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   77   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   1   1   1   1   2   2   3   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -2091,7 +2283,7 @@ do_test 1.9.7.5 {
 
 do_test 1.9.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -2217,6 +2409,30 @@ do_execsql_test 1.9.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.9.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.10.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -2331,7 +2547,7 @@ do_test 1.10.7.5 {
 
 do_test 1.10.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -2457,6 +2673,30 @@ do_execsql_test 1.10.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.10.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   2   {}   29   {}   {}   {}   46   62   62   {}   {}   16   {}   33   {}   {}   {}   {}   {}   78   {}   61   {}   59   77   90   74   {}   27   {}   22   39   67   {}   54   85   74   90   7   61   90   62   {}   93   {}   {}   94   {}   23   {}   74   93   30   23   29   3   1   41   80   65   33   2   98   86   89   25   76   65   40   38   15   13   96   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
+
+do_execsql_test 1.10.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   {}   21   {}   {}   {}   {}   21   {}   {}   {}   21   12   {}   {}   {}   {}   {}   12   {}   72   {}   12   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   73   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   55   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   16   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   98   {}   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   {}   {}   {}   {}   {}   9   {}   29   29   {}   {}   {}}
+
+do_execsql_test 1.10.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   1   1   1   1   1   2   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
+
+do_execsql_test 1.10.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   2   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   13   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.10.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   90   1   30   {}   {}   31   31   30   {}   {}   {}   1   40   {}   50   11   81   42   40   {}   50   81   40   {}   {}   50   {}   52   {}   41   81   {}   41   {}   2   30   2   81   82   53   {}   10   {}   {}   81   {}   41   10   81   30   81   {}   3   3   23   94   3   61   80   {}   94   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
+
+do_execsql_test 1.10.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {74   74   74   99   99   99   99   99   99   99   96   96   96   96   96   96   91   91   99   99   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   93   93   93   93   93   93   86   91   91   91   91   91   91   91   85   85   85   91   91   91   91   91   91   91   90   90   89   89   89   89   56   56   75   75   89   98   98   98   98   98   98   98   94   94   94   94   78   78   87   87   87   87   87   87   87   84   84   95   95   95   95   96   98   98   98   98   98   98   98   74   74   74   87   87   87   87   87   87   87   41   95   95   95   95   95   95   95   88   88   88   90   90   96   96   96   96   96   96   96   77   85   85   85   85   85   85   85   74   74   70   70   80   90   90   90   90   90   90   90   72   72   93   93   93   93   93   93   93   81   81   81   62   91   91   91   91   91   91   91   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   58   58   83   83   83   83   83   83   83}
@@ -2571,7 +2811,7 @@ do_test 1.11.7.5 {
 
 do_test 1.11.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -2697,6 +2937,30 @@ do_execsql_test 1.11.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.11.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   97   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   {}   {}   {}   {}   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   77   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   1   1   1   1   2   2   3   4   6   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   2   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   16   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83   82   82   17   7}
@@ -2811,7 +3075,7 @@ do_test 1.12.7.5 {
 
 do_test 1.12.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -2937,6 +3201,30 @@ do_execsql_test 1.12.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.12.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   78   {}   {}   {}   {}   {}   {}   {}   {}   37   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83   82   82   17   7   {}   {}}
@@ -3051,7 +3339,7 @@ do_test 1.13.7.5 {
 
 do_test 1.13.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -3177,6 +3465,30 @@ do_execsql_test 1.13.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.13.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {41   {}   {}   {}   {}   {}   {}   {}   59   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   84   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   65   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {40   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   51   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   {}   {}   2   {}   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   2   3   4   5   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {20   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   11   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   12   22   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {40   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   51   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   {}   {}   2   {}   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -3291,7 +3603,7 @@ do_test 1.14.7.5 {
 
 do_test 1.14.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -3417,6 +3729,30 @@ do_execsql_test 1.14.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.14.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   81   86   81   46   98   97   23   41   72   29   13   28   35   16   47   47   9   24   26   98   58   8   24   30   91   58   2   56   29   73   2   42   46   62   62   73   40   16   85   33   37   81   25   9   87   78   87   61   28   59   77   90   74   9   27   41   22   39   67   72   54   85   74   90   7   61   90   62   4   93   72   96   94   29   23   95   74   93   30   23   29   3   1   41   80   65   33   2   98   86   89   25   76   65   40   38   15   13   96   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
+
+do_execsql_test 1.14.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   21   21   {}   {}   {}   {}   21   {}   {}   {}   21   12   {}   72   {}   {}   {}   12   {}   72   {}   12   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   73   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   15   55   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   16   {}   26   26   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   47   {}   {}   {}   98   {}   {}   {}   {}   {}   98   {}   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   {}   {}   {}   {}   {}   9   {}   29   29   {}   {}   {}}
+
+do_execsql_test 1.14.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   1   1   1   1   2   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
+
+do_execsql_test 1.14.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   1   51   51   91   91   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   2   2   62   62   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   13   43   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   66   66   66   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   37   37   87   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   39   39   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.14.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   74   32   31   84   91   74   3   93   84   74   31   12   90   31   22   74   64   43   64   64   90   74   22   43   90   1   30   62   22   31   31   30   74   64   64   1   40   33   50   11   81   42   40   13   50   81   40   13   13   50   33   52   24   41   81   34   41   34   2   30   2   81   82   53   33   10   33   33   81   34   41   10   81   30   81   4   3   3   23   94   3   61   80   84   94   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
+
+do_execsql_test 1.14.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83}
@@ -3531,7 +3867,7 @@ do_test 1.15.7.5 {
 
 do_test 1.15.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -3657,6 +3993,30 @@ do_execsql_test 1.15.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.15.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   81   86   81   46   1   67   93   26   95   80   65   56   85   30   12   81   35   89   97   31   31   85   40   96   4   73   84   9   91   73   12   5   56   24   85   49   96   75   53   61   8   8   1   55   34   43   59   80   35   15   78   35   56   70   76   59   51   75   63   26   53   5   89   15   21   5   73   33   29   74   66   12   26   58   4   12   31   35   9   87   73   55   59   53   62   73   23   62   33   90   13   90   9   10   66   5   58   44   38   58   22   33   37   2   73   36   31   72   30   47   73   15   96   70   59   90   {}   7   21   83   {}   47   90   55   36   66   {}   50   {}   84   30   {}   {}   34   77   74   {}   58   {}   13   {}   82   93   69   14   62   44   {}   {}   30   {}   83   93   {}   {}   {}   84   {}   {}   {}   {}   14   30   82   34   34   3   {}   {}   {}   {}   {}   84   {}   {}   {}   99   {}   {}   {}   {}   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   91   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   72   {}   {}   {}   22   {}   82   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   16   {}   26   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   98   {}   {}   {}   {}   {}   58   {}   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   59   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   1   1   1   2   2   3   4   6   7   8   8   8   9   9   10   11   12   12   13   14   15   15   16   16   17   19   21   22   22   23   23   24   25   26   27   29   29   30   30   31   32   33   33   33   34   34   34   35   36   36   36   37   38   38   39   39   40   41   41   43   44   44   46   46   47   47   47   49   50   52   53   55   55   56   56   57   58   58   58   59   59   59   61   62   62   63   65   65   66   68   69   72   72   73   73   74   74   74   75   76   77   78   80   81   81   82   83   84   84   85   85   85   86   87   88   89   89   90   90   91   91   91   93   93   95   95   95   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   1   51   51   91   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   2   2   62   62   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   13   43   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   66   66   66   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   37   37   87   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   39   39   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   74   32   31   84   1   14   53   3   84   44   2   93   91   32   52   34   25   33   95   65   61   35   3   74   81   2   91   33   13   23   93   12   5   46   6   82   91   44   2   73   43   84   22   95   82   63   12   75   15   93   35   85   36   33   94   77   83   7   65   43   85   64   95   46   96   33   26   36   65   17   74   74   55   33   25   47   7   47   56   7   87   55   4   58   28   47   15   95   56   7   87   55   46   58   58   26   56   17   16   99   29   7   75   16   38   99   58   98   36   15   6   {}   8   89   9   9   56   {}   97   {}   78   16   28   26   36   {}   59   39   99   27   78   {}   {}   {}   37   27   98   {}   88   8   {}   28   {}   {}   {}   49   37   29   {}   59   {}   {}   47   {}   69   39   59   99   8   78   9   {}   {}   58   49   {}   {}   {}   {}   58   {}   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   59   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -3771,7 +4131,7 @@ do_test 1.16.7.5 {
 
 do_test 1.16.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -3897,6 +4257,30 @@ do_execsql_test 1.16.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {1   76   78   33   11   108   52   83   79   65   26   70   103   80   36   116   51   52   128   117   71   63   84   109   78   147   88   121   106   124   85   107   171   150   80   171   120   109   158   87   168   173   162   156   195   198   177   124   121   134   141   210   157   132   161   218   226   191   179   138   214   212   172   173   229   240   187   210   227   228   223   225   179   182   231   207   209   212   239   234   213   234   269   196   271   235   250   223   232   229   280   44   28   105   41   99   92   72   55   109   120   119   50   124   96   59   124   110   57   130   103   74   87   48   105   136   131   133   92   109   57   146   113   74   150   87   110   65   110   145   161   156   114   111   136   147   173   124   132   101   154   167   190   161   110   102   123   169   140   111   180   119   160   197   152   146   147   132   213   193   200   136   175   188   187   208   211   144   223   196   170   202   163   184   195   200   163   191   252   235   243   172   187   202   179   261   263   206   189   276   181   274   249   221   210   229   279   224   216   207}
 
+do_execsql_test 1.16.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7   {}   {}   {}   {}}
@@ -4011,7 +4395,7 @@ do_test 1.17.7.5 {
 
 do_test 1.17.7.6 {
   set myres {}
-  foreach r [db eval {SELECT percent_rank() OVER ( PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+  foreach r [db eval {SELECT percent_rank() OVER (PARTITION BY b%2 ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2}] {
     lappend myres [format %.2f [set r]]
   }
   set myres
@@ -4137,4 +4521,28 @@ do_execsql_test 1.17.9.6 {
   SELECT last_value(a+b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.17.10.1 {
+  SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {23   78   85   29   84   51   93   91   68   74   65   12   4   22   37   15   53   8   16   29   8   34   3   76   73   63   90   47   98   47   90   73   20   89   91   22   77   73   42   41   32   55   79   51   74   44   81   7   65   8   43   80   8   89   90   29   36   15   42   9   9   41   20   16   11   87   20   90   84   80   41   37   34   9   75   63   34   8   8   81   95   31   74   36   41   99   90   91   99   13   2   35   33   36   38   37   20   75   17   {}   5   34   58   33   19   31   50   34   23   {}   72   90   11   85   90   36   2   {}   39   27   {}   {}   64   2   74   95   37   {}   58   {}   34   44   {}   {}   30   70   47   {}   7   {}   15   {}   {}   12   33   36   99   17   {}   {}   44   {}   {}   12   {}   {}   {}   34   {}   {}   {}   {}   36   44   {}   30   30   10   {}   {}   {}   {}   {}   30   {}   {}   {}   84   {}   {}   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.9.2 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   21   {}   {}   {}   31   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   72   {}   {}   {}   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   76   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   27   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.9.3 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {2   3   3   5   6   7   7   8   8   9   10   11   12   12   13   13   14   15   15   16   16   19   20   21   22   22   23   23   25   26   26   27   28   29   29   30   31   32   33   33   33   34   34   34   35   36   36   37   37   38   39   39   40   41   41   42   43   44   44   46   47   47   49   50   51   52   53   55   55   56   56   57   58   58   58   59   59   59   60   61   62   63   64   65   65   67   68   69   72   72   73   73   74   74   74   75   75   76   77   78   80   81   81   83   84   84   85   85   86   87   88   89   89   90   90   91   91   91   91   93   93   94   95   95   96   97   98   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.9.4 {
+  SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {30   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   21   31   91   91   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   22   22   32   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33   83   93   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   44   84   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   65   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   36   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   57   67   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   78   88   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   59   59   69   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.9.5 {
+  SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {80   84   22   2   34   41   85   23   24   34   25   12   13   11   72   3   85   95   4   75   85   21   65   73   44   31   62   42   4   3   73   13   2   95   56   16   43   2   25   33   83   73   34   72   96   43   13   82   16   16   13   15   65   36   74   14   7   94   47   95   73   65   35   96   36   27   4   67   77   95   78   65   44   5   74   95   78   47   47   36   58   17   5   64   29   58   8   16   86   36   58   17   5   36   29   59   67   26   78   66   49   59   38   6   96   89   {}   38   99   47   26   16   {}   8   19   {}   9   26   {}   87   {}   88   76   58   67   77   {}   9   79   49   37   88   {}   {}   {}   28   98   99   {}   59   39   {}   58   {}   {}   {}   99   27   39   {}   29   {}   {}   8   {}   {}   {}   69   49   39   88   {}   {}   {}   38   99   {}   {}   {}   {}   29   {}   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.9.6 {
+  SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 finish_test
diff --git a/test/window4.tcl b/test/window4.tcl
index 6160236282..6db83fe972 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -27,4 +27,42 @@ for {set i 1} {$i < 20} {incr i} {
   execsql_test 1.$i "SELECT a, ntile($i) OVER (ORDER BY a) FROM t3"
 }
 
+execsql_test 2.0 {
+  DROP TABLE IF EXISTS t4;
+  CREATE TABLE t4(a INTEGER PRIMARY KEY, b TEXT, c INTEGER);
+  INSERT INTO t4 VALUES(1, 'A', 9);
+  INSERT INTO t4 VALUES(2, 'B', 3);
+  INSERT INTO t4 VALUES(3, 'C', 2);
+  INSERT INTO t4 VALUES(4, 'D', 10);
+  INSERT INTO t4 VALUES(5, 'E', 5);
+  INSERT INTO t4 VALUES(6, 'F', 1);
+  INSERT INTO t4 VALUES(7, 'G', 1);
+  INSERT INTO t4 VALUES(8, 'H', 2);
+  INSERT INTO t4 VALUES(9, 'I', 10);
+  INSERT INTO t4 VALUES(10, 'J', 4);
+}
+
+execsql_test 2.1 {
+  SELECT a, nth_value(b, c) OVER (ORDER BY a) FROM t4
+}
+
+execsql_test 3.0 {
+  DROP TABLE IF EXISTS t5;
+  CREATE TABLE t5(a INTEGER PRIMARY KEY, b TEXT, c TEXT, d INTEGER);
+  INSERT INTO t5 VALUES(1, 'A', 'one',   5);
+  INSERT INTO t5 VALUES(2, 'B', 'two',   4);
+  INSERT INTO t5 VALUES(3, 'A', 'three', 3);
+  INSERT INTO t5 VALUES(4, 'B', 'four',  2);
+  INSERT INTO t5 VALUES(5, 'A', 'five',  1);
+}
+
+execsql_test 3.1 {
+  SELECT a, nth_value(c, d) OVER (ORDER BY b) FROM t5
+}
+
+execsql_test 3.2 {
+  SELECT a, nth_value(c, d) OVER (PARTITION BY b ORDER BY a) FROM t5
+}
+
 finish_test
+
diff --git a/test/window4.test b/test/window4.test
index 7130a485ec..b9805aa869 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -102,4 +102,44 @@ do_execsql_test 1.19 {
   SELECT a, ntile(19) OVER (ORDER BY a) FROM t3
 } {a 1   b 2   c 3   d 4   e 5   f 6   g 7   h 8   i 9   j 10}
 
+do_execsql_test 2.0 {
+  DROP TABLE IF EXISTS t4;
+  CREATE TABLE t4(a INTEGER PRIMARY KEY, b TEXT, c INTEGER);
+  INSERT INTO t4 VALUES(1, 'A', 9);
+  INSERT INTO t4 VALUES(2, 'B', 3);
+  INSERT INTO t4 VALUES(3, 'C', 2);
+  INSERT INTO t4 VALUES(4, 'D', 10);
+  INSERT INTO t4 VALUES(5, 'E', 5);
+  INSERT INTO t4 VALUES(6, 'F', 1);
+  INSERT INTO t4 VALUES(7, 'G', 1);
+  INSERT INTO t4 VALUES(8, 'H', 2);
+  INSERT INTO t4 VALUES(9, 'I', 10);
+  INSERT INTO t4 VALUES(10, 'J', 4);
+} {}
+
+do_execsql_test 2.1 {
+  SELECT a, nth_value(b, c) OVER (ORDER BY a) FROM t4
+} {1 {}   2 {}   3 B   4 {}   5 E   6 A   7 A   8 B   9 {}   10 D}
+
+do_execsql_test 3.0 {
+  DROP TABLE IF EXISTS t5;
+  CREATE TABLE t5(a INTEGER PRIMARY KEY, b TEXT, c TEXT, d INTEGER);
+  INSERT INTO t5 VALUES(1, 'A', 'one',   5);
+  INSERT INTO t5 VALUES(2, 'B', 'two',   4);
+  INSERT INTO t5 VALUES(3, 'A', 'three', 3);
+  INSERT INTO t5 VALUES(4, 'B', 'four',  2);
+  INSERT INTO t5 VALUES(5, 'A', 'five',  1);
+} {}
+
+do_execsql_test 3.1 {
+  SELECT a, nth_value(c, d) OVER (ORDER BY b) FROM t5
+} {1 {}   3 five   5 one   2 two   4 three}
+
+explain_i {
+  SELECT a, nth_value(c, d) OVER (PARTITION BY b ORDER BY a) FROM t5
+  }
+do_execsql_test 3.2 {
+  SELECT a, nth_value(c, d) OVER (PARTITION BY b ORDER BY a) FROM t5
+} {1 {}   3 {}   5 one   2 {}   4 four}
+
 finish_test

From 6eb3480bd7344ba8f918ba42733dcd77a4159fbf Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Wed, 6 Jun 2018 20:55:10 +0000
Subject: [PATCH 028/154] More space and performance enhancements to
 sqlite3VdbeRecordCompare().

FossilOrigin-Name: 83a60ff056a63f18479030e9dfb10926fbb0d906d51f2cf88233098e15c75534
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/vdbeaux.c | 10 +++++-----
 3 files changed, 12 insertions(+), 12 deletions(-)

diff --git a/manifest b/manifest
index 3485cebcc1..5908003a12 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Small\sperformance\soptimization\sin\ssqlite3VdbeRecordCompareWithSkip()\sfor\nthe\scommon\scase\swhere\sthe\scomparison\sis\sequal.
-D 2018-06-06T20:29:19.541
+C More\sspace\sand\sperformance\senhancements\sto\ssqlite3VdbeRecordCompare().
+D 2018-06-06T20:55:10.915
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -569,7 +569,7 @@ F src/vdbe.c ffa02701cda500e0770abf139d860447e546949c5d55acab58ad8239ad92daf0
 F src/vdbe.h e3f43bcc27ff30b0f25a6104d0cb5657e1c4b5e1b5cd2dd2216d5bcc2156a746
 F src/vdbeInt.h 42d3e65ea0c664f6d9bc9a53de645c0baf8566ff0188409ff3b8d2abc327bc17
 F src/vdbeapi.c 765a0bbe01311626417de6cb743f7f25f9f98435c98a9df4bb0714d11014633d
-F src/vdbeaux.c 20c12c6911e5cf0a3e013f3e6b364a2cdc6e9facd2b41cec39ef37d4b4c0c759
+F src/vdbeaux.c adbd21d93209c98c792e4ed03915b541f2c8bce1f672d64c2b023a3fd274352b
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
 F src/vdbemem.c 803323406d8623a7619ea5d5f74016697eeaed19c02b98ce9c3013e77dbe1c38
 F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2f
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 4b853f020570bf4af1b14e03f35764c7d7a03a40af58efc783e06f2b883cef78
-R 7344c5deda24a0cfa9adaed6fbe1c4f5
+P 1e616e256a4fb1b64271706fdfa77dc5790eba0a2f0e619544e169bc61d7c805
+R 190026d18cdaeea82d1546f8bc38f07e
 U drh
-Z 8ab3115bce5174cc71ba7755437d5270
+Z d6071b0218e4b21faa51db68b4c17551
diff --git a/manifest.uuid b/manifest.uuid
index a7ffb0a3f3..e7fcfe2c3d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-1e616e256a4fb1b64271706fdfa77dc5790eba0a2f0e619544e169bc61d7c805
\ No newline at end of file
+83a60ff056a63f18479030e9dfb10926fbb0d906d51f2cf88233098e15c75534
\ No newline at end of file
diff --git a/src/vdbeaux.c b/src/vdbeaux.c
index 395e700d17..0669b6820d 100644
--- a/src/vdbeaux.c
+++ b/src/vdbeaux.c
@@ -4129,7 +4129,7 @@ int sqlite3VdbeRecordCompareWithSkip(
   u32 idx1;                       /* Offset of first type in header */
   int rc = 0;                     /* Return value */
   Mem *pRhs = pPKey2->aMem;       /* Next field of pPKey2 to compare */
-  KeyInfo *pKeyInfo = pPKey2->pKeyInfo;
+  KeyInfo *pKeyInfo;
   const unsigned char *aKey1 = (const unsigned char *)pKey1;
   Mem mem1;
 
@@ -4224,7 +4224,7 @@ int sqlite3VdbeRecordCompareWithSkip(
         if( (d1+mem1.n) > (unsigned)nKey1 ){
           pPKey2->errCode = (u8)SQLITE_CORRUPT_BKPT;
           return 0;                /* Corruption */
-        }else if( pKeyInfo->aColl[i] ){
+        }else if( (pKeyInfo = pPKey2->pKeyInfo)->aColl[i] ){
           mem1.enc = pKeyInfo->enc;
           mem1.db = pKeyInfo->db;
           mem1.flags = MEM_Str;
@@ -4275,7 +4275,7 @@ int sqlite3VdbeRecordCompareWithSkip(
     }
 
     if( rc!=0 ){
-      if( pKeyInfo->aSortOrder[i] ){
+      if( pPKey2->pKeyInfo->aSortOrder[i] ){
         rc = -rc;
       }
       assert( vdbeRecordCompareDebug(nKey1, pKey1, pPKey2, rc) );
@@ -4300,7 +4300,7 @@ int sqlite3VdbeRecordCompareWithSkip(
   ** value.  */
   assert( CORRUPT_DB 
        || vdbeRecordCompareDebug(nKey1, pKey1, pPKey2, pPKey2->default_rc) 
-       || pKeyInfo->db->mallocFailed
+       || pPKey2->pKeyInfo->db->mallocFailed
   );
   pPKey2->eqSeen = 1;
   return pPKey2->default_rc;
@@ -4626,7 +4626,7 @@ int sqlite3VdbeIdxKeyCompare(
   if( rc ){
     return rc;
   }
-  *res = sqlite3VdbeRecordCompare(m.n, m.z, pUnpacked);
+  *res = sqlite3VdbeRecordCompareWithSkip(m.n, m.z, pUnpacked, 0);
   sqlite3VdbeMemRelease(&m);
   return SQLITE_OK;
 }

From df12595c097e34143697d96cdd56dd36278416ff Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Wed, 6 Jun 2018 23:31:26 +0000
Subject: [PATCH 029/154] Change a comma into a logically equivalent but
 semantically clearer semicolon.

FossilOrigin-Name: 71f97f0f82b3abfb07feb78d64a182fc50ff396e85d6f5aac479dbf58ba4d00a
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/alter.c   |  2 +-
 3 files changed, 8 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 5908003a12..28afcd291a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C More\sspace\sand\sperformance\senhancements\sto\ssqlite3VdbeRecordCompare().
-D 2018-06-06T20:55:10.915
+C Change\sa\scomma\sinto\sa\slogically\sequivalent\sbut\ssemantically\sclearer\ssemicolon.
+D 2018-06-06T23:31:26.651
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -429,7 +429,7 @@ F spec.template 86a4a43b99ebb3e75e6b9a735d5fd293a24e90ca
 F sqlite.pc.in 42b7bf0d02e08b9e77734a47798d1a55a9e0716b
 F sqlite3.1 fc7ad8990fc8409983309bb80de8c811a7506786
 F sqlite3.pc.in 48fed132e7cb71ab676105d2a4dc77127d8c1f3a
-F src/alter.c cf7a8af45cb0ace672f47a1b29ab24092a9e8cd8d945a9974e3b5d925f548594
+F src/alter.c 819b14b58e71565f8da505a9c1d5d9d904605f85cd64179cf9c7d1edcdad6c25
 F src/analyze.c 71fbbeb7b25417592f54d869fe90c28b48e4cecb9926ef9b06d90fb0aec48941
 F src/attach.c 4a3138bd771d5426ae4344d8d5e900440af29fabc5ec2f39f69a45010dfbccd7
 F src/auth.c a38f3c63c974787ecf75e3213f8cac6568b9a7af7591fb0372ec0517dd16dca8
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 1e616e256a4fb1b64271706fdfa77dc5790eba0a2f0e619544e169bc61d7c805
-R 190026d18cdaeea82d1546f8bc38f07e
+P 83a60ff056a63f18479030e9dfb10926fbb0d906d51f2cf88233098e15c75534
+R 5d16f56d3b58167452434c091fea89d0
 U drh
-Z d6071b0218e4b21faa51db68b4c17551
+Z 444c916353093e35122e938c5f56cdda
diff --git a/manifest.uuid b/manifest.uuid
index e7fcfe2c3d..d349aaf719 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-83a60ff056a63f18479030e9dfb10926fbb0d906d51f2cf88233098e15c75534
\ No newline at end of file
+71f97f0f82b3abfb07feb78d64a182fc50ff396e85d6f5aac479dbf58ba4d00a
\ No newline at end of file
diff --git a/src/alter.c b/src/alter.c
index 51d4a40067..f338e8bf44 100644
--- a/src/alter.c
+++ b/src/alter.c
@@ -142,7 +142,7 @@ static void renameParentFunc(
     }
   }
 
-  zResult = sqlite3MPrintf(db, "%s%s", (zOutput?zOutput:""), zInput), 
+  zResult = sqlite3MPrintf(db, "%s%s", (zOutput?zOutput:""), zInput);
   sqlite3_result_text(context, zResult, -1, SQLITE_DYNAMIC);
   sqlite3DbFree(db, zOutput);
 }

From f7b0a5f3c369d2e2d3d3c51a1f45203fe7841eb6 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Thu, 7 Jun 2018 14:59:22 +0000
Subject: [PATCH 030/154] Add the WHERE_IN_EARLYOUT flag and use it to clarify
 the logic of this optimization.

FossilOrigin-Name: 522f1eacc20f11002cad58232a7c2610f369568653510e54f46088f579f778dc
---
 manifest        | 16 ++++++++--------
 manifest.uuid   |  2 +-
 src/where.c     |  1 +
 src/whereInt.h  |  1 +
 src/wherecode.c |  5 +++--
 5 files changed, 14 insertions(+), 11 deletions(-)

diff --git a/manifest b/manifest
index c553e9b56e..f93277565d 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\srecent\strunk\senhancements.
-D 2018-06-07T14:32:16.906
+C Add\sthe\sWHERE_IN_EARLYOUT\sflag\sand\suse\sit\sto\sclarify\sthe\slogic\sof\sthis\noptimization.
+D 2018-06-07T14:59:22.505
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -579,9 +579,9 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c 83b6cf94d98ff9a2185071aeed664a57922999a6dd58a03dbb379d472314e4b2
-F src/whereInt.h b6ab96d9c1e48d029eaaee8f9b6d05e6a2405af0ad68f684e75f21c46837ae11
-F src/wherecode.c 12d88d0195a50b456c5dbeb3c44cb7d7087f591526968e8bde7a38b5534cd0ee
+F src/where.c 6011e6a78efbe9c767eb5316c23f59ea52481be66d5a8e219dda8f657f494e5d
+F src/whereInt.h b09753e74bf92a8b17cf0e41ca94c44432c454544be6699b5311dcc57bf229c6
+F src/wherecode.c 5f005bbdb4d1c27f1ff68e91d92766b15e0f9d0c5d00603538eec7711421c3c4
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 6bf251af4347165a470d39457d61ab6d2a06c206db8f30bd8be5dbb388ae8a5b 71f97f0f82b3abfb07feb78d64a182fc50ff396e85d6f5aac479dbf58ba4d00a
-R e30bf4f9e62dead29f35aa7c5dd3eb87
+P e9d7bf4f7b9d6f8dabc4c95d43ebf12f2149bed1c5e750048b1b684128073c38
+R 6d4277fa9b6622056a87cf8567cfc5ae
 U drh
-Z 4167bce53a1d321bedb2c1528b36a7a2
+Z c9c3d95e2b08432c3b21f5302501cc1d
diff --git a/manifest.uuid b/manifest.uuid
index dfaafebd34..a179c92a9c 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-e9d7bf4f7b9d6f8dabc4c95d43ebf12f2149bed1c5e750048b1b684128073c38
\ No newline at end of file
+522f1eacc20f11002cad58232a7c2610f369568653510e54f46088f579f778dc
\ No newline at end of file
diff --git a/src/where.c b/src/where.c
index bfb848f426..8499d16e72 100644
--- a/src/where.c
+++ b/src/where.c
@@ -5084,6 +5084,7 @@ void sqlite3WhereEnd(WhereInfo *pWInfo){
         sqlite3VdbeJumpHere(v, pIn->addrInTop+1);
         if( pIn->eEndLoopOp!=OP_Noop ){
           if( pIn->nPrefix ){
+            assert( pLoop->wsFlags & WHERE_IN_EARLYOUT );
             sqlite3VdbeAddOp4Int(v, OP_IfNoHope, pLevel->iIdxCur,
                               sqlite3VdbeCurrentAddr(v)+2,
                               pIn->iBase, pIn->nPrefix);
diff --git a/src/whereInt.h b/src/whereInt.h
index 08159fe28e..5028793bb8 100644
--- a/src/whereInt.h
+++ b/src/whereInt.h
@@ -557,3 +557,4 @@ void sqlite3WhereTabFuncArgs(Parse*, struct SrcList_item*, WhereClause*);
 #define WHERE_SKIPSCAN     0x00008000  /* Uses the skip-scan algorithm */
 #define WHERE_UNQ_WANTED   0x00010000  /* WHERE_ONEROW would have been helpful*/
 #define WHERE_PARTIALIDX   0x00020000  /* The automatic index is partial */
+#define WHERE_IN_EARLYOUT  0x00040000  /* Perhaps quit IN loops early */
diff --git a/src/wherecode.c b/src/wherecode.c
index a20a9808e1..03c3b78aeb 100644
--- a/src/wherecode.c
+++ b/src/wherecode.c
@@ -595,6 +595,7 @@ static int codeEqualityTerm(
             if( (pLoop->wsFlags & WHERE_VIRTUALTABLE)==0 ){
               pIn->iBase = iReg - i;
               pIn->nPrefix = i;
+              pLoop->wsFlags |= WHERE_IN_EARLYOUT;
             }else{
               pIn->nPrefix = 0;
             }
@@ -1664,7 +1665,7 @@ Bitmask sqlite3WhereCodeOneLoopStart(
       ** above has already left the cursor sitting on the correct row,
       ** so no further seeking is needed */
     }else{
-      if( pLoop->wsFlags & WHERE_IN_ABLE ){
+      if( pLoop->wsFlags & WHERE_IN_EARLYOUT ){
         sqlite3VdbeAddOp1(v, OP_SeekHit, iIdxCur);
       }
       op = aStartOp[(start_constraints<<2) + (startEq<<1) + bRev];
@@ -1730,7 +1731,7 @@ Bitmask sqlite3WhereCodeOneLoopStart(
       testcase( op==OP_IdxLE );  VdbeCoverageIf(v, op==OP_IdxLE );
     }
 
-    if( pLoop->wsFlags & WHERE_IN_ABLE ){
+    if( pLoop->wsFlags & WHERE_IN_EARLYOUT ){
       sqlite3VdbeAddOp2(v, OP_SeekHit, iIdxCur, 1);
     }
 

From 3c49eaf4be865f4f9a092073b7609bb69a06ee51 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Thu, 7 Jun 2018 15:23:43 +0000
Subject: [PATCH 031/154] Avoid using a prepared statement for ".stats on"
 after it has been closed by the ".eqp full" logic.  Fix for ticket
 [7be932dfa60a8a6b3b26bcf76].

FossilOrigin-Name: bb87c054b1b76959e46258ac66b24027f468b390a4148ac67f208a1fbeda4060
---
 manifest         | 14 +++++++-------
 manifest.uuid    |  2 +-
 src/shell.c.in   |  1 +
 test/shell1.test | 13 +++++++++++++
 4 files changed, 22 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 28afcd291a..ae7fdac937 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Change\sa\scomma\sinto\sa\slogically\sequivalent\sbut\ssemantically\sclearer\ssemicolon.
-D 2018-06-06T23:31:26.651
+C Avoid\susing\sa\sprepared\sstatement\sfor\s".stats\son"\safter\sit\shas\sbeen\sclosed\nby\sthe\s".eqp\sfull"\slogic.\s\sFix\sfor\sticket\s[7be932dfa60a8a6b3b26bcf76].
+D 2018-06-07T15:23:43.571
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -496,7 +496,7 @@ F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 14602f46800ba182ea6a490e0f304127d29ac1f724bdadcc639e25d3223fcf6e
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 8d3176c5258cc83942815ebe75b4c1f8dcf62b5e0f4d37373a14ebf23c046f9f
-F src/shell.c.in 099edadacd82abbe38472e2995b140560bb9826cd4af611e6bab662cfba8fbda
+F src/shell.c.in 3151c40b2f23857d6af032d535bcc8c432926c11ceb14803213cbb45552b957a
 F src/sqlite.h.in 63b07f76731f2b1e55c48fdb9f0508dcc6fbe3971010b8612ffd847c3c56d9a1
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
@@ -1241,7 +1241,7 @@ F test/sharedA.test 49d87ec54ab640fbbc3786ee3c01de94aaa482a3a9f834ad3fe92770eb69
 F test/sharedB.test 16cc7178e20965d75278f410943109b77b2e645e
 F test/shared_err.test 32634e404a3317eeb94abc7a099c556a346fdb8fb3858dbe222a4cbb8926a939
 F test/sharedlock.test 5ede3c37439067c43b0198f580fd374ebf15d304
-F test/shell1.test 50154b0c4779df435b9e60ca60104b05f1cc217eab1aa383131359329e73d939
+F test/shell1.test 707c03fbd07ac506cfb6fa09da4ee22e2b50453c3db2f404694116eb990168f3
 F test/shell2.test e242a9912f44f4c23c3d1d802a83e934e84c853b
 F test/shell3.test ac8c2b744014c3e9a0e26bfd829ab65f00923dc1a91ffd044863e9423cc91494
 F test/shell4.test 89ad573879a745974ff2df20ff97c5d6ffffbd5d
@@ -1730,7 +1730,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 83a60ff056a63f18479030e9dfb10926fbb0d906d51f2cf88233098e15c75534
-R 5d16f56d3b58167452434c091fea89d0
+P 71f97f0f82b3abfb07feb78d64a182fc50ff396e85d6f5aac479dbf58ba4d00a
+R 88b349f4995942bbb83ef8407ed20dc3
 U drh
-Z 444c916353093e35122e938c5f56cdda
+Z 107f8808affc9ffe8154c296896c4113
diff --git a/manifest.uuid b/manifest.uuid
index d349aaf719..c4bf873456 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-71f97f0f82b3abfb07feb78d64a182fc50ff396e85d6f5aac479dbf58ba4d00a
\ No newline at end of file
+bb87c054b1b76959e46258ac66b24027f468b390a4148ac67f208a1fbeda4060
\ No newline at end of file
diff --git a/src/shell.c.in b/src/shell.c.in
index adc7ce7002..9032e44d69 100644
--- a/src/shell.c.in
+++ b/src/shell.c.in
@@ -2972,6 +2972,7 @@ static int shell_exec(
           /* Reprepare pStmt before reactiving trace modes */
           sqlite3_finalize(pStmt);
           sqlite3_prepare_v2(db, zSql, -1, &pStmt, 0);
+          if( pArg ) pArg->pStmt = pStmt;
         }
         restore_debug_trace_modes();
       }
diff --git a/test/shell1.test b/test/shell1.test
index 922446f528..1bd7fbea76 100644
--- a/test/shell1.test
+++ b/test/shell1.test
@@ -637,6 +637,19 @@ do_test shell1-3.23b.4 {
   catchcmd "test.db" ".stats OFF BAD"
 } {1 {Usage: .stats ?on|off?}}
 
+# Ticket 7be932dfa60a8a6b3b26bcf7623ec46e0a403ddb 2018-06-07
+# Adverse interaction between .stats and .eqp
+#
+do_test shell1-3.23b.5 {
+  catchcmd "test.db" [string map {"\n    " "\n"} {
+    CREATE TEMP TABLE t1(x);
+    INSERT INTO t1 VALUES(1),(2);
+    .stats on
+    .eqp full
+    SELECT * FROM t1;
+  }]
+} {/1\n2\n/}
+
 # .tables ?TABLE?        List names of tables
 #                          If TABLE specified, only list tables matching
 #                          LIKE pattern TABLE.

From 2e60568fef1db384f415bf6120002b94bda7a403 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 7 Jun 2018 15:54:26 +0000
Subject: [PATCH 032/154] Fix problems with the nth_value() function.

FossilOrigin-Name: 63002b9a090397668b94fe341a035c42f84e4837af85395bce4cd1c2777c5209
---
 manifest          |  16 ++---
 manifest.uuid     |   2 +-
 src/window.c      |  41 +++++------
 test/window3.tcl  |  10 +--
 test/window3.test | 170 +++++++++++++++++++++++-----------------------
 5 files changed, 120 insertions(+), 119 deletions(-)

diff --git a/manifest b/manifest
index 89adb19632..4138e928f9 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\simplementation\sof\snth_value()\swindow\sfunction.
-D 2018-06-06T20:51:02.999
+C Fix\sproblems\swith\sthe\snth_value()\sfunction.
+D 2018-06-07T15:54:26.149
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -583,7 +583,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 1da8978defdd5e8b99b3bee0d08bf65f3aa18637e6b7750bc075438899be1f5c
+F src/window.c 7a79e54c37ebe54aba9106f8450c62cdeab487bfc31d5510ac3a4a96ab695e41
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1619,8 +1619,8 @@ F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 905fe0842eacfd61e2f30ef7b0a84a7325ffa5cbbcd717ca30f25a142c3bca90
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl e3053bb5ea6b7f91e58789fee18b374caf5003a7f6eb24eefd9d539c6633b77b
-F test/window3.test dcd30a2a35c47b47d766917c4956680f2a1e8c946b59434e8578ce07a2ae2683
+F test/window3.tcl 81e74f1462e6ec0cd85c0435618202eb2beec312239d2178cb7ff7c8f9fe8374
+F test/window3.test 82e43e194ee1f59d42e0ce3d18d06c65aaec6d583eb68839ed7ee903ddc55d6d
 F test/window4.tcl 23918c0c0e3da95087c5993fab4f049962aec3576f9cc158e37faf7dead0351e
 F test/window4.test 0d89f694ffa9857e22b48e4b50a2d5284288c852eb1947a868b51af937b2b9ac
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
@@ -1739,7 +1739,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 2493ce1a402888f6a8f25e03052c25a4e9bca740639e98cb614f5e5160ac25d3
-R 88214f5f8fb88536d59f61a6355a8292
+P eb1fb420ac70857e7ca4cbad78be15a27bee8f915ba2da080c7efa1879c06c31
+R 2c2ca975db91292e07722982d19a6d3d
 U dan
-Z 38ba5feb8ad2bb55b7a49bef45412de5
+Z 07280d595e477b70f467bbf008f0b04e
diff --git a/manifest.uuid b/manifest.uuid
index e8eeadce7f..f03acc7ff5 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-eb1fb420ac70857e7ca4cbad78be15a27bee8f915ba2da080c7efa1879c06c31
\ No newline at end of file
+63002b9a090397668b94fe341a035c42f84e4837af85395bce4cd1c2777c5209
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 38ca4c2826..909decba36 100644
--- a/src/window.c
+++ b/src/window.c
@@ -641,8 +641,6 @@ static void windowAggInit(Parse *pParse, Window *pMWin){
       pWin->regApp = pParse->nMem+1;
       pWin->csrApp = pParse->nTab++;
       pParse->nMem += 2;
-      sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp);
-      sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
       sqlite3VdbeAddOp2(v, OP_OpenDup, pWin->csrApp, pMWin->iEphCsr);
     }
   }
@@ -760,10 +758,6 @@ static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
         sqlite3VdbeAddOp1(v, OP_ResetSorter, pWin->csrApp);
       }
     }else if( pWin->regApp ){
-      if( bFinal ){
-        sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp);
-        sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
-      }
     }else{
       if( bFinal==0 ){
         sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
@@ -885,6 +879,25 @@ static void windowReturnRows(
   sqlite3VdbeJumpHere(v, addr+1);   /* The OP_Goto */
 }
 
+static int windowInitAccum(Parse *pParse, Window *pMWin){
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  int regArg;
+  int nArg = 0;
+  Window *pWin;
+  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
+    nArg = MAX(nArg, pWin->nArg);
+    if( pWin->pFunc->xSFunc==nth_valueStepFunc ){
+      sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp);
+      sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
+    }
+  }
+  regArg = pParse->nMem+1;
+  pParse->nMem += nArg;
+  return regArg;
+}
+
+
 /*
 ** ROWS BETWEEN <expr1> PRECEDING AND <expr2> FOLLOWING
 ** ----------------------------------------------------
@@ -1102,13 +1115,7 @@ static void windowCodeRowExprStep(
   }
 
   /* Initialize the accumulator register for each window function to NULL */
-  nArg = 0;
-  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
-    nArg = MAX(nArg, pWin->nArg+1);
-  }
-  regArg = pParse->nMem+1;
-  pParse->nMem += nArg;
+  regArg = windowInitAccum(pParse, pMWin);
 
   sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr, lblFlushDone);
   sqlite3VdbeAddOp2(v, OP_Rewind, csrStart, lblFlushDone);
@@ -1301,13 +1308,7 @@ static void windowCodeCacheStep(
   sqlite3VdbeAddOp2(v, OP_OpenDup, csrLead, pMWin->iEphCsr);
 
   /* Initialize the accumulator register for each window function to NULL */
-  nArg = 0;
-  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
-    nArg = MAX(nArg, pWin->nArg);
-  }
-  regArg = pParse->nMem+1;
-  pParse->nMem += nArg;
+  regArg = windowInitAccum(pParse, pMWin);
 
   sqlite3VdbeAddOp2(v, OP_Integer, 0, regCtr);
   addrRewind = sqlite3VdbeAddOp1(v, OP_Rewind, csrLead);
diff --git a/test/window3.tcl b/test/window3.tcl
index e5e2aa5061..81dc3eda90 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -208,19 +208,19 @@ foreach {tn window} {
   execsql_test 1.$tn.10.1 "
     SELECT nth_value(b,b+1) OVER (ORDER BY a $window) FROM t2
   "
-  execsql_test 1.$tn.9.2 "
+  execsql_test 1.$tn.10.2 "
     SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a $window) FROM t2
   "
-  execsql_test 1.$tn.9.3 "
+  execsql_test 1.$tn.10.3 "
     SELECT nth_value(b,b+1) OVER ( ORDER BY b,a $window ) FROM t2
   "
-  execsql_test 1.$tn.9.4 "
+  execsql_test 1.$tn.10.4 "
     SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a $window ) FROM t2
   "
-  execsql_test 1.$tn.9.5 "
+  execsql_test 1.$tn.10.5 "
     SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a $window ) FROM t2
   "
-  execsql_test 1.$tn.9.6 "
+  execsql_test 1.$tn.10.6 "
     SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
   "
 }
diff --git a/test/window3.test b/test/window3.test
index 46864fa9fc..7a557a530f 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -301,23 +301,23 @@ do_execsql_test 1.1.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   2   {}   29   {}   {}   {}   46   62   62   {}   {}   16   {}   33   {}   {}   {}   {}   {}   78   {}   61   {}   59   77   {}   74   {}   27   {}   22   39   67   {}   54   85   74   90   7   61   90   62   {}   93   {}   {}   {}   {}   23   {}   74   93   30   23   29   3   1   41   {}   65   33   2   98   86   89   25   76   {}   40   38   15   13   96   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
 
-do_execsql_test 1.1.9.2 {
+do_execsql_test 1.1.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   {}   21   {}   {}   {}   {}   21   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   12   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   98   {}   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   {}   {}   {}   {}   {}   {}   {}   29   29   {}   {}   {}}
 
-do_execsql_test 1.1.9.3 {
+do_execsql_test 1.1.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   1   1   1   1   1   2   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
 
-do_execsql_test 1.1.9.4 {
+do_execsql_test 1.1.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.1.9.5 {
+do_execsql_test 1.1.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   90   1   30   {}   {}   {}   31   30   {}   {}   {}   1   40   {}   50   11   81   42   40   {}   50   81   40   {}   {}   50   {}   52   {}   41   81   {}   41   {}   2   30   2   81   82   53   {}   10   {}   {}   81   {}   41   10   81   30   81   {}   3   3   23   {}   3   61   80   {}   94   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
 
-do_execsql_test 1.1.9.6 {
+do_execsql_test 1.1.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -565,23 +565,23 @@ do_execsql_test 1.2.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   81   86   81   46   98   97   23   41   72   29   13   28   35   16   47   47   9   24   26   98   58   8   24   30   91   58   2   56   29   73   2   42   46   62   62   73   40   16   85   33   37   81   25   9   87   78   87   61   28   59   77   90   74   9   27   41   22   39   67   72   54   85   74   90   7   61   90   62   4   93   72   96   94   29   23   95   74   93   30   23   29   3   1   41   80   65   33   2   98   86   89   25   76   65   40   38   15   13   96   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
 
-do_execsql_test 1.2.9.2 {
+do_execsql_test 1.2.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   21   21   {}   {}   {}   {}   21   {}   {}   {}   21   12   {}   72   {}   {}   {}   12   {}   72   {}   12   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   73   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   15   55   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   16   {}   26   26   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   47   {}   {}   {}   98   {}   {}   {}   {}   {}   98   {}   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   {}   {}   {}   {}   {}   9   {}   29   29   {}   {}   {}}
 
-do_execsql_test 1.2.9.3 {
+do_execsql_test 1.2.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   1   1   1   1   1   2   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
 
-do_execsql_test 1.2.9.4 {
+do_execsql_test 1.2.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   1   51   51   91   91   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   2   2   62   62   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   13   43   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   66   66   66   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   37   37   87   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   39   39   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.2.9.5 {
+do_execsql_test 1.2.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   74   32   31   84   91   74   3   93   84   74   31   12   90   31   22   74   64   43   64   64   90   74   22   43   90   1   30   62   22   31   31   30   74   64   64   1   40   33   50   11   81   42   40   13   50   81   40   13   13   50   33   52   24   41   81   34   41   34   2   30   2   81   82   53   33   10   33   33   81   34   41   10   81   30   81   4   3   3   23   94   3   61   80   84   94   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
 
-do_execsql_test 1.2.9.6 {
+do_execsql_test 1.2.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -829,23 +829,23 @@ do_execsql_test 1.3.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.3.9.2 {
+do_execsql_test 1.3.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.3.9.3 {
+do_execsql_test 1.3.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.3.9.4 {
+do_execsql_test 1.3.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.3.9.5 {
+do_execsql_test 1.3.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.3.9.6 {
+do_execsql_test 1.3.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -1093,23 +1093,23 @@ do_execsql_test 1.4.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.4.9.2 {
+do_execsql_test 1.4.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.4.9.3 {
+do_execsql_test 1.4.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.4.9.4 {
+do_execsql_test 1.4.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.4.9.5 {
+do_execsql_test 1.4.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.4.9.6 {
+do_execsql_test 1.4.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -1357,23 +1357,23 @@ do_execsql_test 1.5.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   46   62   62   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   78   {}   61   {}   59   77   {}   74   {}   27   {}   {}   39   67   {}   54   85   74   90   7   61   90   62   {}   93   {}   {}   {}   {}   23   {}   74   93   {}   23   29   3   1   41   {}   65   33   2   98   86   89   25   76   {}   40   38   15   {}   {}   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
 
-do_execsql_test 1.5.9.2 {
+do_execsql_test 1.5.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   29   {}   {}   {}}
 
-do_execsql_test 1.5.9.3 {
+do_execsql_test 1.5.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
 
-do_execsql_test 1.5.9.4 {
+do_execsql_test 1.5.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.5.9.5 {
+do_execsql_test 1.5.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   90   1   30   {}   {}   {}   {}   30   {}   {}   {}   1   40   {}   50   11   81   {}   40   {}   50   81   40   {}   {}   50   {}   {}   {}   41   81   {}   41   {}   2   30   2   81   82   {}   {}   10   {}   {}   81   {}   41   10   81   30   81   {}   {}   3   23   {}   3   61   80   {}   {}   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
 
-do_execsql_test 1.5.9.6 {
+do_execsql_test 1.5.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -1621,23 +1621,23 @@ do_execsql_test 1.6.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   77   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.6.9.2 {
+do_execsql_test 1.6.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.6.9.3 {
+do_execsql_test 1.6.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   1   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.6.9.4 {
+do_execsql_test 1.6.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.6.9.5 {
+do_execsql_test 1.6.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.6.9.6 {
+do_execsql_test 1.6.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -1885,23 +1885,23 @@ do_execsql_test 1.7.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   2   {}   29   {}   {}   {}   46   62   62   {}   {}   16   {}   33   {}   {}   {}   {}   {}   78   {}   61   {}   59   77   {}   74   {}   27   {}   22   39   67   {}   54   85   74   90   7   61   90   62   {}   93   {}   {}   {}   {}   23   {}   74   93   30   23   29   3   1   41   {}   65   33   2   98   86   89   25   76   {}   40   38   15   13   96   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
 
-do_execsql_test 1.7.9.2 {
+do_execsql_test 1.7.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   {}   21   {}   {}   {}   {}   21   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   12   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   98   {}   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   {}   {}   {}   {}   {}   {}   {}   29   29   {}   {}   {}}
 
-do_execsql_test 1.7.9.3 {
+do_execsql_test 1.7.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   1   1   1   1   1   2   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
 
-do_execsql_test 1.7.9.4 {
+do_execsql_test 1.7.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.7.9.5 {
+do_execsql_test 1.7.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   90   1   30   {}   {}   {}   31   30   {}   {}   {}   1   40   {}   50   11   81   42   40   {}   50   81   40   {}   {}   50   {}   52   {}   41   81   {}   41   {}   2   30   2   81   82   53   {}   10   {}   {}   81   {}   41   10   81   30   81   {}   3   3   23   {}   3   61   80   {}   94   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
 
-do_execsql_test 1.7.9.6 {
+do_execsql_test 1.7.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -2149,23 +2149,23 @@ do_execsql_test 1.8.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   77   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.8.9.2 {
+do_execsql_test 1.8.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.8.9.3 {
+do_execsql_test 1.8.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   1   1   1   1   2   2   3   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.8.9.4 {
+do_execsql_test 1.8.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.8.9.5 {
+do_execsql_test 1.8.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.8.9.6 {
+do_execsql_test 1.8.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -2413,23 +2413,23 @@ do_execsql_test 1.9.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.9.9.2 {
+do_execsql_test 1.9.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.9.9.3 {
+do_execsql_test 1.9.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.9.9.4 {
+do_execsql_test 1.9.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.9.9.5 {
+do_execsql_test 1.9.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.9.9.6 {
+do_execsql_test 1.9.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -2677,23 +2677,23 @@ do_execsql_test 1.10.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   2   {}   29   {}   {}   {}   46   62   62   {}   {}   16   {}   33   {}   {}   {}   {}   {}   78   {}   61   {}   59   77   90   74   {}   27   {}   22   39   67   {}   54   85   74   90   7   61   90   62   {}   93   {}   {}   94   {}   23   {}   74   93   30   23   29   3   1   41   80   65   33   2   98   86   89   25   76   65   40   38   15   13   96   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
 
-do_execsql_test 1.10.9.2 {
+do_execsql_test 1.10.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   {}   21   {}   {}   {}   {}   21   {}   {}   {}   21   12   {}   {}   {}   {}   {}   12   {}   72   {}   12   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   73   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   55   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   16   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   98   {}   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   {}   {}   {}   {}   {}   9   {}   29   29   {}   {}   {}}
 
-do_execsql_test 1.10.9.3 {
+do_execsql_test 1.10.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {0   1   1   1   1   1   2   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
 
-do_execsql_test 1.10.9.4 {
+do_execsql_test 1.10.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   2   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   13   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.10.9.5 {
+do_execsql_test 1.10.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   90   1   30   {}   {}   31   31   30   {}   {}   {}   1   40   {}   50   11   81   42   40   {}   50   81   40   {}   {}   50   {}   52   {}   41   81   {}   41   {}   2   30   2   81   82   53   {}   10   {}   {}   81   {}   41   10   81   30   81   {}   3   3   23   94   3   61   80   {}   94   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
 
-do_execsql_test 1.10.9.6 {
+do_execsql_test 1.10.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -2941,23 +2941,23 @@ do_execsql_test 1.11.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   97   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   {}   {}   {}   {}   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   77   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.11.9.2 {
+do_execsql_test 1.11.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.11.9.3 {
+do_execsql_test 1.11.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {0   1   1   1   1   2   2   3   4   6   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.11.9.4 {
+do_execsql_test 1.11.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   2   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.11.9.5 {
+do_execsql_test 1.11.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   16   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.11.9.6 {
+do_execsql_test 1.11.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -3205,23 +3205,23 @@ do_execsql_test 1.12.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   78   {}   {}   {}   {}   {}   {}   {}   {}   37   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.12.9.2 {
+do_execsql_test 1.12.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.12.9.3 {
+do_execsql_test 1.12.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {0   1   2   2   3   3   5   6   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.12.9.4 {
+do_execsql_test 1.12.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.12.9.5 {
+do_execsql_test 1.12.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   {}   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.12.9.6 {
+do_execsql_test 1.12.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -3469,23 +3469,23 @@ do_execsql_test 1.13.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
 } {41   {}   {}   {}   {}   {}   {}   {}   59   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   84   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   65   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.13.9.2 {
+do_execsql_test 1.13.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
 } {40   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   51   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   {}   {}   2   {}   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.13.9.3 {
+do_execsql_test 1.13.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {1   2   2   3   4   5   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.13.9.4 {
+do_execsql_test 1.13.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {20   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   11   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   12   22   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.13.9.5 {
+do_execsql_test 1.13.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {40   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   51   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   {}   {}   2   {}   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.13.9.6 {
+do_execsql_test 1.13.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -3733,23 +3733,23 @@ do_execsql_test 1.14.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   81   86   81   46   98   97   23   41   72   29   13   28   35   16   47   47   9   24   26   98   58   8   24   30   91   58   2   56   29   73   2   42   46   62   62   73   40   16   85   33   37   81   25   9   87   78   87   61   28   59   77   90   74   9   27   41   22   39   67   72   54   85   74   90   7   61   90   62   4   93   72   96   94   29   23   95   74   93   30   23   29   3   1   41   80   65   33   2   98   86   89   25   76   65   40   38   15   13   96   74   97   81   40   16   99   76   96   32   80   86   59   2   99   84   84   39   65   27   76   78   84   16   2   96   59   16   41   28   13   89   22   4   42   91   41   33   87   55   81   29   36   28   6   47   97   97   85   33   41   93   15   85   89   98   98   43   23   73   4   56   29   89   46   65   38   59   68   47   9   93   9   23   39   16   93   98   74   65   75   15   56   93   12   2   81   2   23   97   47   91   15   93   35   16   63   8   53   91   33}
 
-do_execsql_test 1.14.9.2 {
+do_execsql_test 1.14.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   90   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   81   21   21   {}   {}   {}   {}   21   {}   {}   {}   21   12   {}   72   {}   {}   {}   12   {}   72   {}   12   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   73   {}   {}   {}   {}   {}   73   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   15   55   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   16   {}   26   26   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   47   {}   {}   {}   98   {}   {}   {}   {}   {}   98   {}   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   29   {}   {}   {}   {}   {}   9   {}   29   29   {}   {}   {}}
 
-do_execsql_test 1.14.9.3 {
+do_execsql_test 1.14.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   1   1   1   1   1   2   2   2   2   3   3   3   3   4   4   4   5   5   5   6   7   7   7   7   7   7   7   8   8   8   8   8   8   8   9   9   10   11   11   11   11   12   12   12   12   12   13   13   13   13   13   14   15   15   15   15   15   15   15   15   16   16   16   16   16   16   16   16   16   16   17   17   19   19   19   19   20   20   21   21   21   21   21   22   22   22   22   23   23   23   23   23   25   25   26   26   26   26   26   27   27   28   29   29   29   29   30   30   30   30   30   30   30   30   31   31   31   31   31   32   32   33   33   33   33   33   33   33   33   34   34   34   34   35   35   35   36   36   36   36   36   36   36   36   36   36   36   36   37   37   37   37   38   38   38   39   39   39   39   39   40   40   40   40   41   41   41   41   41   41   42   43   43   43   43   43   43   44   44   44   44   44   46   46   46   46   47   47   47   47   47   47   47   47   47   47   49   49   49}
 
-do_execsql_test 1.14.9.4 {
+do_execsql_test 1.14.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   1   51   51   91   91   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   2   2   62   62   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   13   43   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   66   66   66   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   37   37   87   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   39   39   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.14.9.5 {
+do_execsql_test 1.14.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   74   32   31   84   91   74   3   93   84   74   31   12   90   31   22   74   64   43   64   64   90   74   22   43   90   1   30   62   22   31   31   30   74   64   64   1   40   33   50   11   81   42   40   13   50   81   40   13   13   50   33   52   24   41   81   34   41   34   2   30   2   81   82   53   33   10   33   33   81   34   41   10   81   30   81   4   3   3   23   94   3   61   80   84   94   3   91   91   72   3   63   30   91   94   94   72   91   73   91   84   84   33   41   1   33   84   73   73   91   20   41   84   33   33   84   33   41   84   21   44   22   90   22   81   81   74   93   93   93   81   21   83   44   44   21   21   21   13   21   21   34   11   34   73   74   2   60   2   34   2   34   74   60   23   2   2   2   11   91   60   62   73   74   70   51   65   74   93   65   70   34   70   93   93   93   62   35   44   43   12   35   41   43   44   44   41   80   54   72   43   41   43   91   12   80   80   35   33   12}
 
-do_execsql_test 1.14.9.6 {
+do_execsql_test 1.14.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -3997,23 +3997,23 @@ do_execsql_test 1.15.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
 } {0   81   86   81   46   1   67   93   26   95   80   65   56   85   30   12   81   35   89   97   31   31   85   40   96   4   73   84   9   91   73   12   5   56   24   85   49   96   75   53   61   8   8   1   55   34   43   59   80   35   15   78   35   56   70   76   59   51   75   63   26   53   5   89   15   21   5   73   33   29   74   66   12   26   58   4   12   31   35   9   87   73   55   59   53   62   73   23   62   33   90   13   90   9   10   66   5   58   44   38   58   22   33   37   2   73   36   31   72   30   47   73   15   96   70   59   90   {}   7   21   83   {}   47   90   55   36   66   {}   50   {}   84   30   {}   {}   34   77   74   {}   58   {}   13   {}   82   93   69   14   62   44   {}   {}   30   {}   83   93   {}   {}   {}   84   {}   {}   {}   {}   14   30   82   34   34   3   {}   {}   {}   {}   {}   84   {}   {}   {}   99   {}   {}   {}   {}   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.15.9.2 {
+do_execsql_test 1.15.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61   {}   {}   {}   81   {}   91   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   72   {}   {}   {}   22   {}   82   {}   12   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   33   {}   {}   {}   {}   {}   {}   {}   {}   4   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   15   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   16   {}   26   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   98   {}   {}   {}   {}   {}   58   {}   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   59   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.15.9.3 {
+do_execsql_test 1.15.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   1   1   1   1   2   2   3   4   6   7   8   8   8   9   9   10   11   12   12   13   14   15   15   16   16   17   19   21   22   22   23   23   24   25   26   27   29   29   30   30   31   32   33   33   33   34   34   34   35   36   36   36   37   38   38   39   39   40   41   41   43   44   44   46   46   47   47   47   49   50   52   53   55   55   56   56   57   58   58   58   59   59   59   61   62   62   63   65   65   66   68   69   72   72   73   73   74   74   74   75   76   77   78   80   81   81   82   83   84   84   85   85   85   86   87   88   89   89   90   90   91   91   91   93   93   95   95   95   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.15.9.4 {
+do_execsql_test 1.15.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   1   51   51   91   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   2   2   62   62   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   13   43   43   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   66   66   66   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   37   37   87   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   39   39   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.15.9.5 {
+do_execsql_test 1.15.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   74   32   31   84   1   14   53   3   84   44   2   93   91   32   52   34   25   33   95   65   61   35   3   74   81   2   91   33   13   23   93   12   5   46   6   82   91   44   2   73   43   84   22   95   82   63   12   75   15   93   35   85   36   33   94   77   83   7   65   43   85   64   95   46   96   33   26   36   65   17   74   74   55   33   25   47   7   47   56   7   87   55   4   58   28   47   15   95   56   7   87   55   46   58   58   26   56   17   16   99   29   7   75   16   38   99   58   98   36   15   6   {}   8   89   9   9   56   {}   97   {}   78   16   28   26   36   {}   59   39   99   27   78   {}   {}   {}   37   27   98   {}   88   8   {}   28   {}   {}   {}   49   37   29   {}   59   {}   {}   47   {}   69   39   59   99   8   78   9   {}   {}   58   49   {}   {}   {}   {}   58   {}   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   59   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.15.9.6 {
+do_execsql_test 1.15.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -4261,23 +4261,23 @@ do_execsql_test 1.16.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.16.9.2 {
+do_execsql_test 1.16.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.16.9.3 {
+do_execsql_test 1.16.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.16.9.4 {
+do_execsql_test 1.16.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.16.9.5 {
+do_execsql_test 1.16.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.16.9.6 {
+do_execsql_test 1.16.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
@@ -4525,23 +4525,23 @@ do_execsql_test 1.17.10.1 {
   SELECT nth_value(b,b+1) OVER (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
 } {23   78   85   29   84   51   93   91   68   74   65   12   4   22   37   15   53   8   16   29   8   34   3   76   73   63   90   47   98   47   90   73   20   89   91   22   77   73   42   41   32   55   79   51   74   44   81   7   65   8   43   80   8   89   90   29   36   15   42   9   9   41   20   16   11   87   20   90   84   80   41   37   34   9   75   63   34   8   8   81   95   31   74   36   41   99   90   91   99   13   2   35   33   36   38   37   20   75   17   {}   5   34   58   33   19   31   50   34   23   {}   72   90   11   85   90   36   2   {}   39   27   {}   {}   64   2   74   95   37   {}   58   {}   34   44   {}   {}   30   70   47   {}   7   {}   15   {}   {}   12   33   36   99   17   {}   {}   44   {}   {}   12   {}   {}   {}   34   {}   {}   {}   {}   36   44   {}   30   30   10   {}   {}   {}   {}   {}   30   {}   {}   {}   84   {}   {}   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.17.9.2 {
+do_execsql_test 1.17.10.2 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
 } {80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   21   {}   {}   {}   31   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   72   {}   {}   {}   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   64   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   76   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   27   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.17.9.3 {
+do_execsql_test 1.17.10.3 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {2   3   3   5   6   7   7   8   8   9   10   11   12   12   13   13   14   15   15   16   16   19   20   21   22   22   23   23   25   26   26   27   28   29   29   30   31   32   33   33   33   34   34   34   35   36   36   37   37   38   39   39   40   41   41   42   43   44   44   46   47   47   49   50   51   52   53   55   55   56   56   57   58   58   58   59   59   59   60   61   62   63   64   65   65   67   68   69   72   72   73   73   74   74   74   75   75   76   77   78   80   81   81   83   84   84   85   85   86   87   88   89   89   90   90   91   91   91   91   93   93   94   95   95   96   97   98   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.17.9.4 {
+do_execsql_test 1.17.10.4 {
   SELECT nth_value(b,b+1) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {30   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   21   31   91   91   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   22   22   32   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33   83   93   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   44   84   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   65   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   36   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   57   67   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   78   88   98   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   59   59   69   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.17.9.5 {
+do_execsql_test 1.17.10.5 {
   SELECT nth_value(b,b+1) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {80   84   22   2   34   41   85   23   24   34   25   12   13   11   72   3   85   95   4   75   85   21   65   73   44   31   62   42   4   3   73   13   2   95   56   16   43   2   25   33   83   73   34   72   96   43   13   82   16   16   13   15   65   36   74   14   7   94   47   95   73   65   35   96   36   27   4   67   77   95   78   65   44   5   74   95   78   47   47   36   58   17   5   64   29   58   8   16   86   36   58   17   5   36   29   59   67   26   78   66   49   59   38   6   96   89   {}   38   99   47   26   16   {}   8   19   {}   9   26   {}   87   {}   88   76   58   67   77   {}   9   79   49   37   88   {}   {}   {}   28   98   99   {}   59   39   {}   58   {}   {}   {}   99   27   39   {}   29   {}   {}   8   {}   {}   {}   69   49   39   88   {}   {}   {}   38   99   {}   {}   {}   {}   29   {}   89   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
-do_execsql_test 1.17.9.6 {
+do_execsql_test 1.17.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 

From 056f5396fef186c23f654b06872c9f478d530016 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Thu, 7 Jun 2018 16:07:00 +0000
Subject: [PATCH 033/154] Test cases.

FossilOrigin-Name: 085e863713a3f2d420c0076b275a6ac445a59d4d93f9eb0e8503b4e3f5589249
---
 manifest        | 15 +++++-----
 manifest.uuid   |  2 +-
 src/wherecode.c |  2 +-
 test/in6.test   | 77 +++++++++++++++++++++++++++++++++++++++++++++++++
 test/where.test |  4 +--
 5 files changed, 89 insertions(+), 11 deletions(-)
 create mode 100644 test/in6.test

diff --git a/manifest b/manifest
index cc162b66ab..19feb3d166 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\sthe\s".stat/.eqp"\sCLI\sfix\sfrom\strunk.
-D 2018-06-07T15:28:40.178
+C Test\scases.
+D 2018-06-07T16:07:00.142
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -581,7 +581,7 @@ F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
 F src/where.c 6011e6a78efbe9c767eb5316c23f59ea52481be66d5a8e219dda8f657f494e5d
 F src/whereInt.h b09753e74bf92a8b17cf0e41ca94c44432c454544be6699b5311dcc57bf229c6
-F src/wherecode.c 5f005bbdb4d1c27f1ff68e91d92766b15e0f9d0c5d00603538eec7711421c3c4
+F src/wherecode.c 06950dc0ede5588ce02158a3d356cf1cd30c75c23d59b6c00f76b116c2094956
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
@@ -967,6 +967,7 @@ F test/in2.test 5d4c61d17493c832f7d2d32bef785119e87bde75
 F test/in3.test 3cbf58c87f4052cee3a58b37b6389777505aa0c0
 F test/in4.test d2b38cba404bc4320f4fe1b595b3d163f212c068
 F test/in5.test 7ae37fcd4a5e198291c6ab5f31a5bb3d15397efe8b75a6736d7a95a7b8dd9e08
+F test/in6.test 77c3e1d356d8aeb0864051f0677d3c0a032cf97b7f33a0ba8fa2b04a663f6b7b
 F test/incrblob.test c9b96afc292aeff43d6687bcb09b0280aa599822
 F test/incrblob2.test a494c9e848560039a23974b9119cfc2cf3ad3bd15cc2694ee6367ae537ef8f1f
 F test/incrblob3.test d8d036fde015d4a159cd3cbae9d29003b37227a4
@@ -1585,7 +1586,7 @@ F test/walrofault.test c70cb6e308c443867701856cce92ad8288cd99488fa52afab77cca6cf
 F test/walshared.test 0befc811dcf0b287efae21612304d15576e35417
 F test/walslow.test c05c68d4dc2700a982f89133ce103a1a84cc285f
 F test/walthread.test 14b20fcfa6ae152f5d8e12f5dc8a8a724b7ef189f5d8ef1e2ceab79f2af51747
-F test/where.test f19ea3fa31c425b04af42c8b192a5b595ee84498df8d27dcd79ec043b25fbbfb
+F test/where.test 6bfcd29db193b814e5736832ffa899b4ff2969a106b718a79375063d5eb02b29
 F test/where2.test 478d2170637b9211f593120648858593bf2445a1
 F test/where3.test 2341a294e17193a6b1699ea7f192124a5286ca6acfcc3f4b06d16c931fbcda2c
 F test/where4.test 4a371bfcc607f41d233701bdec33ac2972908ba8
@@ -1730,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 522f1eacc20f11002cad58232a7c2610f369568653510e54f46088f579f778dc bb87c054b1b76959e46258ac66b24027f468b390a4148ac67f208a1fbeda4060
-R ab39df9e13ae287891b82fbbff6e201a
+P a91cad3381bb843d6f58975251bf99f0fa1a1398fae53d97a98a6c8ee65e718e
+R 5a4c78a05981b673cdf266d134735cc4
 U drh
-Z 011ea25541aef6f0f28ebbe3afa79009
+Z 76c1f474368dc618d1f0cb11de44e0a8
diff --git a/manifest.uuid b/manifest.uuid
index 5b41398eef..3684822a16 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-a91cad3381bb843d6f58975251bf99f0fa1a1398fae53d97a98a6c8ee65e718e
\ No newline at end of file
+085e863713a3f2d420c0076b275a6ac445a59d4d93f9eb0e8503b4e3f5589249
\ No newline at end of file
diff --git a/src/wherecode.c b/src/wherecode.c
index 03c3b78aeb..32378381e1 100644
--- a/src/wherecode.c
+++ b/src/wherecode.c
@@ -592,7 +592,7 @@ static int codeEqualityTerm(
           if( i==iEq ){
             pIn->iCur = iTab;
             pIn->eEndLoopOp = bRev ? OP_PrevIfOpen : OP_NextIfOpen;
-            if( (pLoop->wsFlags & WHERE_VIRTUALTABLE)==0 ){
+            if( iEq>0 && (pLoop->wsFlags & WHERE_VIRTUALTABLE)==0 ){
               pIn->iBase = iReg - i;
               pIn->nPrefix = i;
               pLoop->wsFlags |= WHERE_IN_EARLYOUT;
diff --git a/test/in6.test b/test/in6.test
new file mode 100644
index 0000000000..ad16c4e8a8
--- /dev/null
+++ b/test/in6.test
@@ -0,0 +1,77 @@
+# 2018-06-07
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+#
+# A multi-key index that uses an IN operator on one of the keys other
+# than the left-most key is able to abort the IN-operator loop early
+# if key terms further to the left do not match.
+#
+# Call this the "multikey-IN-operator early-out optimization" or
+# just "IN-early-out" optimization for short.
+#
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+set testprefix in6
+
+do_test in6-1.1 {
+  db eval {
+    CREATE TABLE t1(a,b,c,d);
+    WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<100)
+      INSERT INTO t1(a,b,c,d)
+        SELECT 100, 200+x/2, 300+x/5, x FROM c;
+    CREATE INDEX t1abc ON t1(a,b,c);
+  }
+  set ::sqlite_search_count 0
+  db eval {
+    SELECT d FROM t1
+     WHERE a=99
+       AND b IN (200,205,201,204)
+       AND c IN (304,302,309,308);
+  }
+} {}
+do_test in6-1.2 {
+  set ::sqlite_search_count
+} {0}  ;# Without the IN-early-out optimization, this value would be 15
+
+# The multikey-IN-operator early-out optimization does not apply
+# when the IN operator is on the left-most column of the index.
+#
+do_test in6-1.3 {
+  db eval {
+    EXPLAIN
+    SELECT d FROM t1
+      WHERE a IN (98,99,100,101)
+        AND b=200 AND c=300;
+  }
+} {~/(IfNoHope|SeekHit)/}
+
+set sqlite_search_count 0
+do_execsql_test in6-1.4 {
+ SELECT d FROM t1
+  WHERE a=100
+    AND b IN (200,201,202,204)
+    AND c IN (300,302,301,305)
+  ORDER BY +d;
+} {1 2 3 4 5 8 9}
+do_test in6-1.5 {
+  set ::sqlite_search_count
+} {39}
+
+do_execsql_test in6-2.1 {
+  CREATE TABLE t2(e INT UNIQUE, f TEXT);
+  SELECT d, f FROM t1 LEFT JOIN t2 ON (e=d)
+  WHERE a=100
+    AND b IN (200,201,202,204)
+    AND c IN (300,302,301,305)
+  ORDER BY +d;
+} {1 {} 2 {} 3 {} 4 {} 5 {} 8 {} 9 {}}
+
+finish_test
diff --git a/test/where.test b/test/where.test
index 7ac1738028..216325d03b 100644
--- a/test/where.test
+++ b/test/where.test
@@ -490,12 +490,12 @@ ifcapable subquery {
     count {
       SELECT * FROM t1 WHERE x IN (1,7) AND y IN (9,10) ORDER BY 1;
     }
-  } {2 1 9 5}
+  } {2 1 9 4}
   do_test where-5.15 {
     count {
       SELECT * FROM t1 WHERE x IN (1,7) AND y IN (9,16) ORDER BY 1;
     }
-  } {2 1 9 3 1 16 9}
+  } {2 1 9 3 1 16 8}
   do_test where-5.100 {
     db eval {
       SELECT w, x, y FROM t1 WHERE x IN (1,5) AND y IN (9,8,3025,1000,3969)

From f1949b6634bb7bdf836cc0371917dec25edc9c85 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Thu, 7 Jun 2018 17:32:59 +0000
Subject: [PATCH 034/154] Remove the NextIfOpen and PrevIfOpen opcodes which
 are no longer needed when the IN-early-out optimization is working.

FossilOrigin-Name: 439c8162272795b422a0e01b01b832fbc12b39914c9632a674162af8bdecff98
---
 manifest        | 20 ++++++++++----------
 manifest.uuid   |  2 +-
 src/shell.c.in  |  3 +--
 src/vdbe.c      | 24 +++++-------------------
 src/vdbeaux.c   |  4 +---
 src/where.c     |  4 ++--
 src/wherecode.c |  2 +-
 7 files changed, 21 insertions(+), 38 deletions(-)

diff --git a/manifest b/manifest
index 19feb3d166..4757702e64 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Test\scases.
-D 2018-06-07T16:07:00.142
+C Remove\sthe\sNextIfOpen\sand\sPrevIfOpen\sopcodes\swhich\sare\sno\slonger\sneeded\nwhen\sthe\sIN-early-out\soptimization\sis\sworking.
+D 2018-06-07T17:32:59.729
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -496,7 +496,7 @@ F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 14602f46800ba182ea6a490e0f304127d29ac1f724bdadcc639e25d3223fcf6e
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 8d3176c5258cc83942815ebe75b4c1f8dcf62b5e0f4d37373a14ebf23c046f9f
-F src/shell.c.in 3151c40b2f23857d6af032d535bcc8c432926c11ceb14803213cbb45552b957a
+F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf9
 F src/sqlite.h.in 63b07f76731f2b1e55c48fdb9f0508dcc6fbe3971010b8612ffd847c3c56d9a1
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
@@ -565,11 +565,11 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c ed88889ca2b71dd27770312b0ebfe06dca85c34ca418d368619a683cdaefe744
+F src/vdbe.c 3b8517d41c514a6e892f20a74c69d9c04849fe45fb676703f5c6672f11fca97f
 F src/vdbe.h e3f43bcc27ff30b0f25a6104d0cb5657e1c4b5e1b5cd2dd2216d5bcc2156a746
 F src/vdbeInt.h d299d7a19853463dac418de0d97f2dd9cb4ddb495a45c93364e2daee109ba0ef
 F src/vdbeapi.c 765a0bbe01311626417de6cb743f7f25f9f98435c98a9df4bb0714d11014633d
-F src/vdbeaux.c adbd21d93209c98c792e4ed03915b541f2c8bce1f672d64c2b023a3fd274352b
+F src/vdbeaux.c daecbbefaf0adfc428cddbfa5164c1d744496ba5dd19f840845ecac652913802
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
 F src/vdbemem.c 803323406d8623a7619ea5d5f74016697eeaed19c02b98ce9c3013e77dbe1c38
 F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2f
@@ -579,9 +579,9 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c 6011e6a78efbe9c767eb5316c23f59ea52481be66d5a8e219dda8f657f494e5d
+F src/where.c 7dcb13bbcfd8c926546946556014c8f5aa0829eb8b65a6c18f8d187d265200a5
 F src/whereInt.h b09753e74bf92a8b17cf0e41ca94c44432c454544be6699b5311dcc57bf229c6
-F src/wherecode.c 06950dc0ede5588ce02158a3d356cf1cd30c75c23d59b6c00f76b116c2094956
+F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P a91cad3381bb843d6f58975251bf99f0fa1a1398fae53d97a98a6c8ee65e718e
-R 5a4c78a05981b673cdf266d134735cc4
+P 085e863713a3f2d420c0076b275a6ac445a59d4d93f9eb0e8503b4e3f5589249
+R 2dde483ff37edacba64e59586d1522f4
 U drh
-Z 76c1f474368dc618d1f0cb11de44e0a8
+Z b644b027a94a428792d2674b80d687cf
diff --git a/manifest.uuid b/manifest.uuid
index 3684822a16..2495bdfd74 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-085e863713a3f2d420c0076b275a6ac445a59d4d93f9eb0e8503b4e3f5589249
\ No newline at end of file
+439c8162272795b422a0e01b01b832fbc12b39914c9632a674162af8bdecff98
\ No newline at end of file
diff --git a/src/shell.c.in b/src/shell.c.in
index 9032e44d69..392580733f 100644
--- a/src/shell.c.in
+++ b/src/shell.c.in
@@ -2567,8 +2567,7 @@ static void explain_data_prepare(ShellState *p, sqlite3_stmt *pSql){
   int nAlloc = 0;                 /* Allocated size of p->aiIndent[], abYield */
   int iOp;                        /* Index of operation in p->aiIndent[] */
 
-  const char *azNext[] = { "Next", "Prev", "VPrev", "VNext", "SorterNext",
-                           "NextIfOpen", "PrevIfOpen", 0 };
+  const char *azNext[] = { "Next", "Prev", "VPrev", "VNext", "SorterNext", 0 };
   const char *azYield[] = { "Yield", "SeekLT", "SeekGT", "RowSetRead",
                             "Rewind", 0 };
   const char *azGoto[] = { "Goto", 0 };
diff --git a/src/vdbe.c b/src/vdbe.c
index 5054d4f2e0..7a25eea0e6 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -5132,12 +5132,7 @@ case OP_Rewind: {        /* jump */
 ** If P5 is positive and the jump is taken, then event counter
 ** number P5-1 in the prepared statement is incremented.
 **
-** See also: Prev, NextIfOpen
-*/
-/* Opcode: NextIfOpen P1 P2 P3 P4 P5
-**
-** This opcode works just like Next except that if cursor P1 is not
-** open it behaves a no-op.
+** See also: Prev
 */
 /* Opcode: Prev P1 P2 P3 P4 P5
 **
@@ -5165,11 +5160,6 @@ case OP_Rewind: {        /* jump */
 ** If P5 is positive and the jump is taken, then event counter
 ** number P5-1 in the prepared statement is incremented.
 */
-/* Opcode: PrevIfOpen P1 P2 P3 P4 P5
-**
-** This opcode works just like Prev except that if cursor P1 is not
-** open it behaves a no-op.
-*/
 /* Opcode: SorterNext P1 P2 * * P5
 **
 ** This opcode works just like OP_Next except that P1 must be a
@@ -5184,10 +5174,6 @@ case OP_SorterNext: {  /* jump */
   assert( isSorter(pC) );
   rc = sqlite3VdbeSorterNext(db, pC);
   goto next_tail;
-case OP_PrevIfOpen:    /* jump */
-case OP_NextIfOpen:    /* jump */
-  if( p->apCsr[pOp->p1]==0 ) break;
-  /* Fall through */
 case OP_Prev:          /* jump */
 case OP_Next:          /* jump */
   assert( pOp->p1>=0 && pOp->p1<p->nCursor );
@@ -5198,17 +5184,17 @@ case OP_Next:          /* jump */
   assert( pC->eCurType==CURTYPE_BTREE );
   assert( pOp->opcode!=OP_Next || pOp->p4.xAdvance==sqlite3BtreeNext );
   assert( pOp->opcode!=OP_Prev || pOp->p4.xAdvance==sqlite3BtreePrevious );
-  assert( pOp->opcode!=OP_NextIfOpen || pOp->p4.xAdvance==sqlite3BtreeNext );
-  assert( pOp->opcode!=OP_PrevIfOpen || pOp->p4.xAdvance==sqlite3BtreePrevious);
 
+#if 0
   /* The Next opcode is only used after SeekGT, SeekGE, and Rewind.
   ** The Prev opcode is only used after SeekLT, SeekLE, and Last. */
-  assert( pOp->opcode!=OP_Next || pOp->opcode!=OP_NextIfOpen
+  assert( pOp->opcode!=OP_Next
        || pC->seekOp==OP_SeekGT || pC->seekOp==OP_SeekGE
        || pC->seekOp==OP_Rewind || pC->seekOp==OP_Found);
-  assert( pOp->opcode!=OP_Prev || pOp->opcode!=OP_PrevIfOpen
+  assert( pOp->opcode!=OP_Prev
        || pC->seekOp==OP_SeekLT || pC->seekOp==OP_SeekLE
        || pC->seekOp==OP_Last );
+#endif
 
   rc = pOp->p4.xAdvance(pC->uc.pCursor, pOp->p3);
 next_tail:
diff --git a/src/vdbeaux.c b/src/vdbeaux.c
index 0669b6820d..7f0448ec1f 100644
--- a/src/vdbeaux.c
+++ b/src/vdbeaux.c
@@ -689,7 +689,6 @@ static void resolveP2Values(Vdbe *p, int *pMaxFuncArgs){
           break;
         }
         case OP_Next:
-        case OP_NextIfOpen:
         case OP_SorterNext: {
           pOp->p4.xAdvance = sqlite3BtreeNext;
           pOp->p4type = P4_ADVANCE;
@@ -699,8 +698,7 @@ static void resolveP2Values(Vdbe *p, int *pMaxFuncArgs){
           assert( pOp->p2>=0 );
           break;
         }
-        case OP_Prev:
-        case OP_PrevIfOpen: {
+        case OP_Prev: {
           pOp->p4.xAdvance = sqlite3BtreePrevious;
           pOp->p4type = P4_ADVANCE;
           /* The code generator never codes any of these opcodes as a jump
diff --git a/src/where.c b/src/where.c
index 8499d16e72..10cb138143 100644
--- a/src/where.c
+++ b/src/where.c
@@ -5092,8 +5092,8 @@ void sqlite3WhereEnd(WhereInfo *pWInfo){
           }
           sqlite3VdbeAddOp2(v, pIn->eEndLoopOp, pIn->iCur, pIn->addrInTop);
           VdbeCoverage(v);
-          VdbeCoverageIf(v, pIn->eEndLoopOp==OP_PrevIfOpen);
-          VdbeCoverageIf(v, pIn->eEndLoopOp==OP_NextIfOpen);
+          VdbeCoverageIf(v, pIn->eEndLoopOp==OP_Prev);
+          VdbeCoverageIf(v, pIn->eEndLoopOp==OP_Next);
         }
         sqlite3VdbeJumpHere(v, pIn->addrInTop-1);
       }
diff --git a/src/wherecode.c b/src/wherecode.c
index 32378381e1..67f5e30738 100644
--- a/src/wherecode.c
+++ b/src/wherecode.c
@@ -591,7 +591,7 @@ static int codeEqualityTerm(
           sqlite3VdbeAddOp1(v, OP_IsNull, iOut); VdbeCoverage(v);
           if( i==iEq ){
             pIn->iCur = iTab;
-            pIn->eEndLoopOp = bRev ? OP_PrevIfOpen : OP_NextIfOpen;
+            pIn->eEndLoopOp = bRev ? OP_Prev : OP_Next;
             if( iEq>0 && (pLoop->wsFlags & WHERE_VIRTUALTABLE)==0 ){
               pIn->iBase = iReg - i;
               pIn->nPrefix = i;

From 7095c002b8ab4af95ca983b11bf7144f13910edd Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 7 Jun 2018 17:45:22 +0000
Subject: [PATCH 035/154] Add support for window function first_value().

FossilOrigin-Name: 060b26402880daab085ad01f5f0dbde957c7a22cd219be5b8ec94fba883051a0
---
 manifest          |  16 +-
 manifest.uuid     |   2 +-
 src/window.c      |  38 ++++-
 test/window3.tcl  |  19 +++
 test/window3.test | 408 ++++++++++++++++++++++++++++++++++++++++++++++
 5 files changed, 469 insertions(+), 14 deletions(-)

diff --git a/manifest b/manifest
index 4138e928f9..e66ca94c15 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sproblems\swith\sthe\snth_value()\sfunction.
-D 2018-06-07T15:54:26.149
+C Add\ssupport\sfor\swindow\sfunction\sfirst_value().
+D 2018-06-07T17:45:22.248
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -583,7 +583,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 7a79e54c37ebe54aba9106f8450c62cdeab487bfc31d5510ac3a4a96ab695e41
+F src/window.c c48dd2d726123532f37d88084119e832ade7f61e4d7ce6a8e9c9b4125f7e6040
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1619,8 +1619,8 @@ F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 905fe0842eacfd61e2f30ef7b0a84a7325ffa5cbbcd717ca30f25a142c3bca90
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl 81e74f1462e6ec0cd85c0435618202eb2beec312239d2178cb7ff7c8f9fe8374
-F test/window3.test 82e43e194ee1f59d42e0ce3d18d06c65aaec6d583eb68839ed7ee903ddc55d6d
+F test/window3.tcl 4941d89c74dd12a3d0fa74548887a98cf101b2707b2fe5cb77581197f5074025
+F test/window3.test 4962a83e7f6ad1b5c8538424b4f9797513ab16d78777cd156c2744e402d63d90
 F test/window4.tcl 23918c0c0e3da95087c5993fab4f049962aec3576f9cc158e37faf7dead0351e
 F test/window4.test 0d89f694ffa9857e22b48e4b50a2d5284288c852eb1947a868b51af937b2b9ac
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
@@ -1739,7 +1739,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P eb1fb420ac70857e7ca4cbad78be15a27bee8f915ba2da080c7efa1879c06c31
-R 2c2ca975db91292e07722982d19a6d3d
+P 63002b9a090397668b94fe341a035c42f84e4837af85395bce4cd1c2777c5209
+R f143e70c0a392b68a47207212ca0721c
 U dan
-Z 07280d595e477b70f467bbf008f0b04e
+Z 4ef45732bba3ef90b00747173eba3b6a
diff --git a/manifest.uuid b/manifest.uuid
index f03acc7ff5..bb183af532 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-63002b9a090397668b94fe341a035c42f84e4837af85395bce4cd1c2777c5209
\ No newline at end of file
+060b26402880daab085ad01f5f0dbde957c7a22cd219be5b8ec94fba883051a0
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 909decba36..50e37c5dbc 100644
--- a/src/window.c
+++ b/src/window.c
@@ -310,6 +310,21 @@ static void nth_valueInverseFunc(
 static void nth_valueValueFunc(sqlite3_context *pCtx){
 }
 
+static void first_valueStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void first_valueInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void first_valueValueFunc(sqlite3_context *pCtx){
+}
+
 #define WINDOWFUNC(name,nArg,extra) {                                      \
   nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
   name ## StepFunc, name ## ValueFunc, name ## ValueFunc,                  \
@@ -335,6 +350,7 @@ void sqlite3WindowFunctions(void){
     WINDOWFUNC(ntile, 1, SQLITE_FUNC_WINDOW_SIZE),
     WINDOWFUNCF(last_value, 1, 0),
     WINDOWFUNC(nth_value, 2, 0),
+    WINDOWFUNC(first_value, 1, 0),
   };
   sqlite3InsertBuiltinFuncs(aWindowFuncs, ArraySize(aWindowFuncs));
 }
@@ -634,7 +650,7 @@ static void windowAggInit(Parse *pParse, Window *pMWin){
       sqlite3VdbeAppendP4(v, pKeyInfo, P4_KEYINFO);
       sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
     }
-    else if( p->xSFunc==nth_valueStepFunc ){
+    else if( p->xSFunc==nth_valueStepFunc || p->xSFunc==first_valueStepFunc ){
       /* Allocate two registers at pWin->regApp. These will be used to
       ** store the start and end index of the current frame.  */
       assert( pMWin->iEphCsr );
@@ -726,7 +742,9 @@ static void windowAggStep(
         sqlite3VdbeJumpHere(v, sqlite3VdbeCurrentAddr(v)-2);
       }
     }else if( pWin->regApp ){
-      assert( pWin->pFunc->xSFunc==nth_valueStepFunc );
+      assert( pWin->pFunc->xSFunc==nth_valueStepFunc 
+           || pWin->pFunc->xSFunc==first_valueStepFunc 
+      );
       assert( bInverse==0 || bInverse==1 );
       sqlite3VdbeAddOp2(v, OP_AddImm, pWin->regApp+1-bInverse, 1);
     }else{
@@ -839,12 +857,19 @@ static void windowReturnOneRow(
   Window *pWin;
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     FuncDef *pFunc = pWin->pFunc;
-    if( pFunc->xSFunc==nth_valueStepFunc ){
+    if( pFunc->xSFunc==nth_valueStepFunc 
+     || pFunc->xSFunc==first_valueStepFunc 
+    ){
       int csr = pWin->csrApp;
       int lbl = sqlite3VdbeMakeLabel(v);
       int tmpReg = sqlite3GetTempReg(pParse);
       sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
-      sqlite3VdbeAddOp3(v, OP_Column, pWin->iEphCsr, pWin->iArgCol+1, tmpReg);
+
+      if( pFunc->xSFunc==nth_valueStepFunc ){
+        sqlite3VdbeAddOp3(v, OP_Column, pWin->iEphCsr, pWin->iArgCol+1, tmpReg);
+      }else{
+        sqlite3VdbeAddOp2(v, OP_Integer, 1, tmpReg);
+      }
       sqlite3VdbeAddOp3(v, OP_Add, tmpReg, pWin->regApp, tmpReg);
       sqlite3VdbeAddOp3(v, OP_Gt, pWin->regApp+1, lbl, tmpReg);
       sqlite3VdbeAddOp3(v, OP_SeekRowid, csr, lbl, tmpReg);
@@ -887,7 +912,9 @@ static int windowInitAccum(Parse *pParse, Window *pMWin){
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
     nArg = MAX(nArg, pWin->nArg);
-    if( pWin->pFunc->xSFunc==nth_valueStepFunc ){
+    if( pWin->pFunc->xSFunc==nth_valueStepFunc
+     || pWin->pFunc->xSFunc==first_valueStepFunc 
+    ){
       sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp);
       sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
     }
@@ -1572,6 +1599,7 @@ void sqlite3WindowCodeStep(
     FuncDef *pFunc = pWin->pFunc;
     if( (pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE)
      || (pFunc->xSFunc==nth_valueStepFunc)
+     || (pFunc->xSFunc==first_valueStepFunc)
     ){
       windowCodeCacheStep(pParse, p, pWInfo, regGosub, addrGosub);
       return;
diff --git a/test/window3.tcl b/test/window3.tcl
index 81dc3eda90..74f30b7888 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -223,6 +223,25 @@ foreach {tn window} {
   execsql_test 1.$tn.10.6 "
     SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
   "
+
+  execsql_test 1.$tn.11.1 "
+    SELECT first_value(b) OVER (ORDER BY a $window) FROM t2
+  "
+  execsql_test 1.$tn.11.2 "
+    SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a $window) FROM t2
+  "
+  execsql_test 1.$tn.11.3 "
+    SELECT first_value(b) OVER ( ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.11.4 "
+    SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.11.5 "
+    SELECT first_value(b) OVER ( ORDER BY b%10,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.11.6 "
+    SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
+  "
 }
 
 finish_test
diff --git a/test/window3.test b/test/window3.test
index 7a557a530f..1744a57dbd 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -321,6 +321,30 @@ do_execsql_test 1.1.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.1.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.1.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.1.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.1.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9}
+
+do_execsql_test 1.1.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.1.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -585,6 +609,30 @@ do_execsql_test 1.2.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.2.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.2.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.2.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.2.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9}
+
+do_execsql_test 1.2.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.2.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -849,6 +897,30 @@ do_execsql_test 1.3.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.3.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.3.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.3.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98   98   99   99   99}
+
+do_execsql_test 1.3.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   10   20   30   30   30   40   50   60   70   80   80   90   90   90   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   91   91   91   91   2   2   2   12   12   12   22   22   32   42   52   62   62   72   72   72   82   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   83   93   93   93   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   84   84   84   94   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   85   95   95   95   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   86   96   96   96   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   87   87   97   97   8   8   8   28   38   38   58   58   58   58   68   78   78   88   98   98   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89   89   99   99   99}
+
+do_execsql_test 1.3.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.3.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -1113,6 +1185,30 @@ do_execsql_test 1.4.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.4.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.4.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.4.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98   98   99   99   99}
+
+do_execsql_test 1.4.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   10   20   30   30   30   40   50   60   70   80   80   90   90   90   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   91   91   91   91   2   2   2   12   12   12   22   22   32   42   52   62   62   72   72   72   82   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   83   93   93   93   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   84   84   84   94   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   85   95   95   95   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   86   96   96   96   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   87   87   97   97   8   8   8   28   38   38   58   58   58   58   68   78   78   88   98   98   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89   89   99   99   99}
+
+do_execsql_test 1.4.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.4.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -1377,6 +1473,30 @@ do_execsql_test 1.5.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.5.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.5.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   0   0   0   0   0   0   0   0   0   0   0   {}   {}   {}   {}   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   {}   {}   {}   {}   2   2   2   2   2   2   2   2   2   2   2   2   2   {}   {}   {}   {}   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   {}   {}   {}   {}   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   {}   {}   {}   {}   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   {}   {}   {}   {}   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   {}   {}   {}   {}   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   {}   {}   {}   {}   38   38   38   38   38   38   38   38   38   38   38   38   {}   {}   {}   {}   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.5.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.5.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   0   0   0   0   0   0   0   0   0   0   0   {}   {}   {}   {}   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   {}   {}   {}   {}   2   2   2   2   2   2   2   2   2   2   2   2   2   {}   {}   {}   {}   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   {}   {}   {}   {}   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   {}   {}   {}   {}   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   {}   {}   {}   {}   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   {}   {}   {}   {}   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   {}   {}   {}   {}   8   8   8   8   8   8   8   8   8   8   8   8   {}   {}   {}   {}   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9}
+
+do_execsql_test 1.5.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.5.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.6.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   0   74   74   74   74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83}
@@ -1641,6 +1761,30 @@ do_execsql_test 1.6.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.6.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   0   0   0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83}
+
+do_execsql_test 1.6.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   0   0   0   90   40   30   80   20   90   60   70   80   90   {}   {}   41   41   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   {}   {}   2   2   2   62   12   32   22   42   2   72   12   22   2   72   72   {}   {}   23   23   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   {}   {}   74   74   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   {}   {}   65   65   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   {}   {}   26   26   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   {}   {}   97   97   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   {}   {}   38   38   38   68   78   8   28   98   78   58   98   8   88   8   {}   {}   99   99   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9}
+
+do_execsql_test 1.6.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   0   0   0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98}
+
+do_execsql_test 1.6.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   0   0   0   10   20   30   30   30   40   50   60   70   80   {}   {}   1   1   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   {}   {}   2   2   2   2   2   12   12   12   22   22   32   42   52   62   62   {}   {}   3   3   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   {}   {}   4   4   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   {}   {}   5   5   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   {}   {}   6   6   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   {}   {}   7   7   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   {}   {}   8   8   8   8   8   28   38   38   58   58   58   58   68   78   {}   {}   9   9   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89}
+
+do_execsql_test 1.6.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   0   0   0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9}
+
+do_execsql_test 1.6.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -1905,6 +2049,30 @@ do_execsql_test 1.7.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.7.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.7.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.7.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.7.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9}
+
+do_execsql_test 1.7.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.7.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83}
@@ -2169,6 +2337,30 @@ do_execsql_test 1.8.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.8.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   0   0   0   0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83}
+
+do_execsql_test 1.8.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   0   0   0   0   90   40   30   80   20   90   60   70   80   90   41   41   41   41   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   2   2   2   2   2   62   12   32   22   42   2   72   12   22   2   72   72   23   23   23   23   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   74   74   74   74   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   65   65   65   65   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   26   26   26   26   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   97   97   97   97   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   38   38   38   38   38   68   78   8   28   98   78   58   98   8   88   8   99   99   99   99   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9}
+
+do_execsql_test 1.8.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98}
+
+do_execsql_test 1.8.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   10   20   30   30   30   40   50   60   70   80   1   1   1   1   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   2   2   2   2   2   2   2   12   12   12   22   22   32   42   52   62   62   3   3   3   3   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   4   4   4   4   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   5   5   5   5   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   6   6   6   6   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   7   7   7   7   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   8   8   8   8   8   8   8   28   38   38   58   58   58   58   68   78   9   9   9   9   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89}
+
+do_execsql_test 1.8.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   0   0   0   0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9}
+
+do_execsql_test 1.8.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -2433,6 +2625,30 @@ do_execsql_test 1.9.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.9.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.9.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.9.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98   98   99   99   99}
+
+do_execsql_test 1.9.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   10   20   30   30   30   40   50   60   70   80   80   90   90   90   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   91   91   91   91   2   2   2   12   12   12   22   22   32   42   52   62   62   72   72   72   82   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   83   93   93   93   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   84   84   84   94   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   85   95   95   95   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   86   96   96   96   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   87   87   97   97   8   8   8   28   38   38   58   58   58   58   68   78   78   88   98   98   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89   89   99   99   99}
+
+do_execsql_test 1.9.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.9.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.10.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -2697,6 +2913,30 @@ do_execsql_test 1.10.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.10.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.10.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.10.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.10.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9}
+
+do_execsql_test 1.10.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.10.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {74   74   74   99   99   99   99   99   99   99   96   96   96   96   96   96   91   91   99   99   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   93   93   93   93   93   93   86   91   91   91   91   91   91   91   85   85   85   91   91   91   91   91   91   91   90   90   89   89   89   89   56   56   75   75   89   98   98   98   98   98   98   98   94   94   94   94   78   78   87   87   87   87   87   87   87   84   84   95   95   95   95   96   98   98   98   98   98   98   98   74   74   74   87   87   87   87   87   87   87   41   95   95   95   95   95   95   95   88   88   88   90   90   96   96   96   96   96   96   96   77   85   85   85   85   85   85   85   74   74   70   70   80   90   90   90   90   90   90   90   72   72   93   93   93   93   93   93   93   81   81   81   62   91   91   91   91   91   91   91   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   58   58   83   83   83   83   83   83   83}
@@ -2961,6 +3201,30 @@ do_execsql_test 1.11.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.11.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   0   0   0   0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83}
+
+do_execsql_test 1.11.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   0   0   0   0   90   40   30   80   20   90   60   70   80   90   41   41   41   41   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   2   2   2   2   2   62   12   32   22   42   2   72   12   22   2   72   72   23   23   23   23   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   74   74   74   74   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   65   65   65   65   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   26   26   26   26   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   97   97   97   97   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   38   38   38   38   38   68   78   8   28   98   78   58   98   8   88   8   99   99   99   99   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9}
+
+do_execsql_test 1.11.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   0   0   0   0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98}
+
+do_execsql_test 1.11.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   0   0   0   0   10   20   30   30   30   40   50   60   70   80   1   1   1   1   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   2   2   2   2   2   2   2   12   12   12   22   22   32   42   52   62   62   3   3   3   3   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   4   4   4   4   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   5   5   5   5   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   6   6   6   6   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   7   7   7   7   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   8   8   8   8   8   8   8   28   38   38   58   58   58   58   68   78   9   9   9   9   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89}
+
+do_execsql_test 1.11.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   0   0   0   0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9}
+
+do_execsql_test 1.11.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83   82   82   17   7}
@@ -3225,6 +3489,30 @@ do_execsql_test 1.12.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.12.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.12.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.12.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98   98   99   99   99}
+
+do_execsql_test 1.12.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   10   20   30   30   30   40   50   60   70   80   80   90   90   90   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   91   91   91   91   2   2   2   12   12   12   22   22   32   42   52   62   62   72   72   72   82   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   83   93   93   93   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   84   84   84   94   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   85   95   95   95   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   86   96   96   96   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   87   87   97   97   8   8   8   28   38   38   58   58   58   58   68   78   78   88   98   98   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89   89   99   99   99}
+
+do_execsql_test 1.12.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.12.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83   82   82   17   7   {}   {}}
@@ -3489,6 +3777,30 @@ do_execsql_test 1.13.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.13.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7   {}   {}}
+
+do_execsql_test 1.13.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {40   30   80   20   90   60   70   80   90   30   50   10   30   {}   {}   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   {}   {}   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   {}   {}   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   {}   {}   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   {}   {}   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   {}   {}   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   {}   {}   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   {}   {}   78   8   28   98   78   58   98   8   88   8   58   58   58   38   {}   {}   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39   {}   {}}
+
+do_execsql_test 1.13.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98   98   99   99   99   {}   {}}
+
+do_execsql_test 1.13.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {20   30   30   30   40   50   60   70   80   80   90   90   90   {}   {}   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   91   91   91   91   {}   {}   2   12   12   12   22   22   32   42   52   62   62   72   72   72   82   {}   {}   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   83   93   93   93   {}   {}   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   84   84   84   94   {}   {}   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   85   95   95   95   {}   {}   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   86   96   96   96   {}   {}   7   17   27   27   37   37   47   47   47   47   57   67   77   77   87   87   97   97   {}   {}   8   28   38   38   58   58   58   58   68   78   78   88   98   98   {}   {}   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89   89   99   99   99   {}   {}}
+
+do_execsql_test 1.13.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39   {}   {}}
+
+do_execsql_test 1.13.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -3753,6 +4065,30 @@ do_execsql_test 1.14.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.14.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.14.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   41   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   23   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   74   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   65   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   26   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   97   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   38   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
+
+do_execsql_test 1.14.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.14.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   2   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   3   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   4   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   5   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   6   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   7   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9   9}
+
+do_execsql_test 1.14.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0}
+
+do_execsql_test 1.14.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83}
@@ -4017,6 +4353,30 @@ do_execsql_test 1.15.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.15.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   0   0   0   0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83}
+
+do_execsql_test 1.15.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   0   0   0   0   90   40   30   80   20   90   60   70   80   90   41   41   41   41   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   2   2   2   2   2   62   12   32   22   42   2   72   12   22   2   72   72   23   23   23   23   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   74   74   74   74   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   65   65   65   65   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   26   26   26   26   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   97   97   97   97   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   38   38   38   38   38   68   78   8   28   98   78   58   98   8   88   8   99   99   99   99   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9}
+
+do_execsql_test 1.15.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98}
+
+do_execsql_test 1.15.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   10   20   30   30   30   40   50   60   70   80   1   1   1   1   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   2   2   2   2   2   2   2   12   12   12   22   22   32   42   52   62   62   3   3   3   3   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   4   4   4   4   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   5   5   5   5   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   6   6   6   6   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   7   7   7   7   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   8   8   8   8   8   8   8   28   38   38   58   58   58   58   68   78   9   9   9   9   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89}
+
+do_execsql_test 1.15.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   0   0   0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9}
+
+do_execsql_test 1.15.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -4281,6 +4641,30 @@ do_execsql_test 1.16.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.16.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.16.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.16.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98   98   99   99   99}
+
+do_execsql_test 1.16.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   10   20   30   30   30   40   50   60   70   80   80   90   90   90   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   91   91   91   91   2   2   2   12   12   12   22   22   32   42   52   62   62   72   72   72   82   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   83   93   93   93   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   84   84   84   94   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   85   95   95   95   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   86   96   96   96   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   87   87   97   97   8   8   8   28   38   38   58   58   58   58   68   78   78   88   98   98   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89   89   99   99   99}
+
+do_execsql_test 1.16.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.16.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7   {}   {}   {}   {}}
@@ -4545,4 +4929,28 @@ do_execsql_test 1.17.10.6 {
   SELECT nth_value(b,b+1) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.17.11.1 {
+  SELECT first_value(b) OVER (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7   {}   {}   {}   {}}
+
+do_execsql_test 1.17.11.2 {
+  SELECT first_value(b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {80   20   90   60   70   80   90   30   50   10   30   {}   {}   {}   {}   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   {}   {}   {}   {}   22   42   2   72   12   22   2   72   72   12   62   52   82   {}   {}   {}   {}   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   {}   {}   {}   {}   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   {}   {}   {}   {}   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   {}   {}   {}   {}   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   {}   {}   {}   {}   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   {}   {}   {}   {}   28   98   78   58   98   8   88   8   58   58   58   38   {}   {}   {}   {}   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39   {}   {}   {}   {}}
+
+do_execsql_test 1.17.11.3 {
+  SELECT first_value(b) OVER ( ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98   98   99   99   99   {}   {}   {}   {}}
+
+do_execsql_test 1.17.11.4 {
+  SELECT first_value(b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {30   30   40   50   60   70   80   80   90   90   90   {}   {}   {}   {}   21   21   31   31   41   41   41   51   61   61   81   81   81   91   91   91   91   91   {}   {}   {}   {}   12   12   22   22   32   42   52   62   62   72   72   72   82   {}   {}   {}   {}   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   83   93   93   93   {}   {}   {}   {}   34   34   34   44   44   54   64   74   74   74   74   74   84   84   84   84   94   {}   {}   {}   {}   25   35   35   55   55   65   65   65   75   75   75   85   85   85   95   95   95   {}   {}   {}   {}   26   26   26   36   36   36   36   46   46   56   56   56   66   76   86   96   96   96   {}   {}   {}   {}   27   27   37   37   47   47   47   47   57   67   77   77   87   87   97   97   {}   {}   {}   {}   38   38   58   58   58   58   68   78   78   88   98   98   {}   {}   {}   {}   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89   89   99   99   99   {}   {}   {}   {}}
+
+do_execsql_test 1.17.11.5 {
+  SELECT first_value(b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39   {}   {}   {}   {}}
+
+do_execsql_test 1.17.11.6 {
+  SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 finish_test

From cf025a8c18590ea3b11a160cc9d2a1ba53631efe Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Thu, 7 Jun 2018 18:01:21 +0000
Subject: [PATCH 036/154] Fix the assert()s in the byte-code engine that prove
 that cursors are unidirectional.

FossilOrigin-Name: 4b0b4e14039469b656662312a5f80f086ede293e9ad04c7bc99a202b683a1e55
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/vdbe.c    | 15 +++++++++------
 3 files changed, 16 insertions(+), 13 deletions(-)

diff --git a/manifest b/manifest
index 4757702e64..660acafd9a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Remove\sthe\sNextIfOpen\sand\sPrevIfOpen\sopcodes\swhich\sare\sno\slonger\sneeded\nwhen\sthe\sIN-early-out\soptimization\sis\sworking.
-D 2018-06-07T17:32:59.729
+C Fix\sthe\sassert()s\sin\sthe\sbyte-code\sengine\sthat\sprove\sthat\scursors\nare\sunidirectional.
+D 2018-06-07T18:01:21.263
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -565,7 +565,7 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c 3b8517d41c514a6e892f20a74c69d9c04849fe45fb676703f5c6672f11fca97f
+F src/vdbe.c d7a475cec51c83daf0d348301a1aec77f535832ea946632b5738ff9f087c0edb
 F src/vdbe.h e3f43bcc27ff30b0f25a6104d0cb5657e1c4b5e1b5cd2dd2216d5bcc2156a746
 F src/vdbeInt.h d299d7a19853463dac418de0d97f2dd9cb4ddb495a45c93364e2daee109ba0ef
 F src/vdbeapi.c 765a0bbe01311626417de6cb743f7f25f9f98435c98a9df4bb0714d11014633d
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 085e863713a3f2d420c0076b275a6ac445a59d4d93f9eb0e8503b4e3f5589249
-R 2dde483ff37edacba64e59586d1522f4
+P 439c8162272795b422a0e01b01b832fbc12b39914c9632a674162af8bdecff98
+R fe7d026f8be3134e2723fc39eeec5ed5
 U drh
-Z b644b027a94a428792d2674b80d687cf
+Z 8c642b57392b756fd19e94b953870085
diff --git a/manifest.uuid b/manifest.uuid
index 2495bdfd74..9c15183170 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-439c8162272795b422a0e01b01b832fbc12b39914c9632a674162af8bdecff98
\ No newline at end of file
+4b0b4e14039469b656662312a5f80f086ede293e9ad04c7bc99a202b683a1e55
\ No newline at end of file
diff --git a/src/vdbe.c b/src/vdbe.c
index 7a25eea0e6..243e4fe70a 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -4292,7 +4292,7 @@ case OP_NotExists:          /* jump, in3 */
   pC = p->apCsr[pOp->p1];
   assert( pC!=0 );
 #ifdef SQLITE_DEBUG
-  pC->seekOp = 0;
+  pC->seekOp = OP_SeekRowid;
 #endif
   assert( pC->isTable );
   assert( pC->eCurType==CURTYPE_BTREE );
@@ -4946,6 +4946,9 @@ case OP_NullRow: {
     assert( pC->uc.pCursor!=0 );
     sqlite3BtreeClearCursor(pC->uc.pCursor);
   }
+#ifdef SQLITE_DEBUG
+  if( pC->seekOp==0 ) pC->seekOp = OP_NullRow;
+#endif
   break;
 }
 
@@ -5185,16 +5188,16 @@ case OP_Next:          /* jump */
   assert( pOp->opcode!=OP_Next || pOp->p4.xAdvance==sqlite3BtreeNext );
   assert( pOp->opcode!=OP_Prev || pOp->p4.xAdvance==sqlite3BtreePrevious );
 
-#if 0
-  /* The Next opcode is only used after SeekGT, SeekGE, and Rewind.
+  /* The Next opcode is only used after SeekGT, SeekGE, Rewind, and Found.
   ** The Prev opcode is only used after SeekLT, SeekLE, and Last. */
   assert( pOp->opcode!=OP_Next
        || pC->seekOp==OP_SeekGT || pC->seekOp==OP_SeekGE
-       || pC->seekOp==OP_Rewind || pC->seekOp==OP_Found);
+       || pC->seekOp==OP_Rewind || pC->seekOp==OP_Found 
+       || pC->seekOp==OP_NullRow);
   assert( pOp->opcode!=OP_Prev
        || pC->seekOp==OP_SeekLT || pC->seekOp==OP_SeekLE
-       || pC->seekOp==OP_Last );
-#endif
+       || pC->seekOp==OP_Last 
+       || pC->seekOp==OP_NullRow);
 
   rc = pOp->p4.xAdvance(pC->uc.pCursor, pOp->p3);
 next_tail:

From fe4e25a0f6b9bdb7f8cd165497fd7341fa3e8691 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 7 Jun 2018 20:08:59 +0000
Subject: [PATCH 037/154] Add window functions lag() and lead().

FossilOrigin-Name: ef34207073c21ce8618486777671ae78d23f290acd6d3c37e91a49b69cb506ac
---
 manifest          |  20 +-
 manifest.uuid     |   2 +-
 src/window.c      |  71 ++++
 test/window3.tcl  |  38 +++
 test/window3.test | 816 ++++++++++++++++++++++++++++++++++++++++++++++
 test/window4.tcl  |  20 ++
 test/window4.test |  27 +-
 7 files changed, 980 insertions(+), 14 deletions(-)

diff --git a/manifest b/manifest
index e66ca94c15..4625378435 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\ssupport\sfor\swindow\sfunction\sfirst_value().
-D 2018-06-07T17:45:22.248
+C Add\swindow\sfunctions\slag()\sand\slead().
+D 2018-06-07T20:08:59.730
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -583,7 +583,7 @@ F src/where.c 60ec752fcbe9f9e0271ac60548d159a540a1ee47a4f9fedc85e88a3d0e392dd1
 F src/whereInt.h cbae2bcd37cfebdb7812a8b188cdb19634ced2b9346470d1c270556b0c33ea53
 F src/wherecode.c 728c7f70731430ccdac807a79969873e1af6968bf1c4745dff3f9dd35f636cc8
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c c48dd2d726123532f37d88084119e832ade7f61e4d7ce6a8e9c9b4125f7e6040
+F src/window.c 4a476f74f11eb02447fa51ef9465c13d1e888b839441d4aa8c742234df8afb48
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1619,10 +1619,10 @@ F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 905fe0842eacfd61e2f30ef7b0a84a7325ffa5cbbcd717ca30f25a142c3bca90
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl 4941d89c74dd12a3d0fa74548887a98cf101b2707b2fe5cb77581197f5074025
-F test/window3.test 4962a83e7f6ad1b5c8538424b4f9797513ab16d78777cd156c2744e402d63d90
-F test/window4.tcl 23918c0c0e3da95087c5993fab4f049962aec3576f9cc158e37faf7dead0351e
-F test/window4.test 0d89f694ffa9857e22b48e4b50a2d5284288c852eb1947a868b51af937b2b9ac
+F test/window3.tcl 8fdcd16a6de3e0ccc1c6f218268ba202d2f74f640e66b3cc624aeee6f2f8653b
+F test/window3.test 30da147abfe6b7e3f54b2902ccfa551966a46f3875154106c9ee34d5fa2ac455
+F test/window4.tcl 46f5d6adb4c8ad48508f28488586450a7ae010bac654ee871605f3c2217d910f
+F test/window4.test aab06a0a1be4cd9cf4ca015d04b072c9164aca508410e6ac01e2e389fa73b830
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1739,7 +1739,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 63002b9a090397668b94fe341a035c42f84e4837af85395bce4cd1c2777c5209
-R f143e70c0a392b68a47207212ca0721c
+P 060b26402880daab085ad01f5f0dbde957c7a22cd219be5b8ec94fba883051a0
+R a6d08205275dc3d4fe75aeb0f2cd2aa0
 U dan
-Z 4ef45732bba3ef90b00747173eba3b6a
+Z a61f4779920493cec5c537f8753f226f
diff --git a/manifest.uuid b/manifest.uuid
index bb183af532..f444258e55 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-060b26402880daab085ad01f5f0dbde957c7a22cd219be5b8ec94fba883051a0
\ No newline at end of file
+ef34207073c21ce8618486777671ae78d23f290acd6d3c37e91a49b69cb506ac
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 50e37c5dbc..2690747175 100644
--- a/src/window.c
+++ b/src/window.c
@@ -325,6 +325,36 @@ static void first_valueInverseFunc(
 static void first_valueValueFunc(sqlite3_context *pCtx){
 }
 
+static void leadStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void leadInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void leadValueFunc(sqlite3_context *pCtx){
+}
+
+static void lagStepFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void lagInverseFunc(
+  sqlite3_context *pCtx, 
+  int nArg,
+  sqlite3_value **apArg
+){
+}
+static void lagValueFunc(sqlite3_context *pCtx){
+}
+
 #define WINDOWFUNC(name,nArg,extra) {                                      \
   nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
   name ## StepFunc, name ## ValueFunc, name ## ValueFunc,                  \
@@ -351,6 +381,8 @@ void sqlite3WindowFunctions(void){
     WINDOWFUNCF(last_value, 1, 0),
     WINDOWFUNC(nth_value, 2, 0),
     WINDOWFUNC(first_value, 1, 0),
+    WINDOWFUNC(lead, 1, 0), WINDOWFUNC(lead, 2, 0), WINDOWFUNC(lead, 3, 0),
+    WINDOWFUNC(lag, 1, 0),  WINDOWFUNC(lag, 2, 0),  WINDOWFUNC(lag, 3, 0),
   };
   sqlite3InsertBuiltinFuncs(aWindowFuncs, ArraySize(aWindowFuncs));
 }
@@ -659,6 +691,11 @@ static void windowAggInit(Parse *pParse, Window *pMWin){
       pParse->nMem += 2;
       sqlite3VdbeAddOp2(v, OP_OpenDup, pWin->csrApp, pMWin->iEphCsr);
     }
+    else if( p->xSFunc==leadStepFunc || p->xSFunc==lagStepFunc ){
+      assert( pMWin->iEphCsr );
+      pWin->csrApp = pParse->nTab++;
+      sqlite3VdbeAddOp2(v, OP_OpenDup, pWin->csrApp, pMWin->iEphCsr);
+    }
   }
 }
 
@@ -747,6 +784,10 @@ static void windowAggStep(
       );
       assert( bInverse==0 || bInverse==1 );
       sqlite3VdbeAddOp2(v, OP_AddImm, pWin->regApp+1-bInverse, 1);
+    }else if( pWin->pFunc->xSFunc==leadStepFunc 
+           || pWin->pFunc->xSFunc==lagStepFunc 
+    ){
+      /* no-op */
     }else{
       if( pWin->pFunc->funcFlags & SQLITE_FUNC_NEEDCOLL ){
         CollSeq *pColl;
@@ -877,6 +918,34 @@ static void windowReturnOneRow(
       sqlite3VdbeResolveLabel(v, lbl);
       sqlite3ReleaseTempReg(pParse, tmpReg);
     }
+    else if( pFunc->xSFunc==leadStepFunc || pFunc->xSFunc==lagStepFunc ){
+      int iEph = pWin->iEphCsr;
+      int csr = pWin->csrApp;
+      int lbl = sqlite3VdbeMakeLabel(v);
+      int tmpReg = sqlite3GetTempReg(pParse);
+
+      if( pWin->nArg<3 ){
+        sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
+      }else{
+        sqlite3VdbeAddOp3(v, OP_Column, iEph, pWin->iArgCol+2, pWin->regResult);
+      }
+      sqlite3VdbeAddOp2(v, OP_Rowid, iEph, tmpReg);
+      if( pWin->nArg<2 ){
+        int val = (pFunc->xSFunc==leadStepFunc ? 1 : -1);
+        sqlite3VdbeAddOp2(v, OP_AddImm, tmpReg, val);
+      }else{
+        int op = (pFunc->xSFunc==leadStepFunc ? OP_Add : OP_Subtract);
+        int tmpReg2 = sqlite3GetTempReg(pParse);
+        sqlite3VdbeAddOp3(v, OP_Column, iEph, pWin->iArgCol+1, tmpReg2);
+        sqlite3VdbeAddOp3(v, op, tmpReg2, tmpReg, tmpReg);
+        sqlite3ReleaseTempReg(pParse, tmpReg2);
+      }
+
+      sqlite3VdbeAddOp3(v, OP_SeekRowid, csr, lbl, tmpReg);
+      sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol, pWin->regResult);
+      sqlite3VdbeResolveLabel(v, lbl);
+      sqlite3ReleaseTempReg(pParse, tmpReg);
+    }
   }
   sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
 }
@@ -1600,6 +1669,8 @@ void sqlite3WindowCodeStep(
     if( (pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE)
      || (pFunc->xSFunc==nth_valueStepFunc)
      || (pFunc->xSFunc==first_valueStepFunc)
+     || (pFunc->xSFunc==leadStepFunc)
+     || (pFunc->xSFunc==lagStepFunc)
     ){
       windowCodeCacheStep(pParse, p, pWInfo, regGosub, addrGosub);
       return;
diff --git a/test/window3.tcl b/test/window3.tcl
index 74f30b7888..9cdcfa2e62 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -242,6 +242,44 @@ foreach {tn window} {
   execsql_test 1.$tn.11.6 "
     SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
   "
+
+  execsql_test 1.$tn.12.1 "
+    SELECT lead(b,b) OVER (ORDER BY a $window) FROM t2
+  "
+  execsql_test 1.$tn.12.2 "
+    SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a $window) FROM t2
+  "
+  execsql_test 1.$tn.12.3 "
+    SELECT lead(b,b) OVER ( ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.12.4 "
+    SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.12.5 "
+    SELECT lead(b,b) OVER ( ORDER BY b%10,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.12.6 "
+    SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
+  "
+
+  execsql_test 1.$tn.13.1 "
+    SELECT lag(b,b) OVER (ORDER BY a $window) FROM t2
+  "
+  execsql_test 1.$tn.13.2 "
+    SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a $window) FROM t2
+  "
+  execsql_test 1.$tn.13.3 "
+    SELECT lag(b,b) OVER ( ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.13.4 "
+    SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.13.5 "
+    SELECT lag(b,b) OVER ( ORDER BY b%10,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.13.6 "
+    SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
+  "
 }
 
 finish_test
diff --git a/test/window3.test b/test/window3.test
index 1744a57dbd..5b41daf6af 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -345,6 +345,54 @@ do_execsql_test 1.1.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.1.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.1.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.1.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.1.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.1.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.1.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.1.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.1.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.1.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.1.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.1.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.1.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -633,6 +681,54 @@ do_execsql_test 1.2.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.2.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.2.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.2.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.2.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.2.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.2.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.2.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.2.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.2.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.2.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.2.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.2.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -921,6 +1017,54 @@ do_execsql_test 1.3.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.3.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.3.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.3.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.3.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.3.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -1209,6 +1353,54 @@ do_execsql_test 1.4.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.4.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.4.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.4.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.4.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.4.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -1497,6 +1689,54 @@ do_execsql_test 1.5.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.5.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.5.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.5.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.5.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.5.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.5.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.5.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.5.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.5.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.5.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.5.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.5.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.6.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   0   74   74   74   74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83}
@@ -1785,6 +2025,54 @@ do_execsql_test 1.6.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.6.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.6.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.6.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.6.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.6.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -2073,6 +2361,54 @@ do_execsql_test 1.7.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.7.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.7.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.7.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.7.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.7.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.7.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.7.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.7.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.7.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.7.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.7.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.7.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83}
@@ -2361,6 +2697,54 @@ do_execsql_test 1.8.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.8.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.8.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.8.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.8.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.8.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -2649,6 +3033,54 @@ do_execsql_test 1.9.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.9.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.9.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.9.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.9.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.9.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.10.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -2937,6 +3369,54 @@ do_execsql_test 1.10.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.10.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.10.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.10.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.10.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.10.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.10.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.10.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.10.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.10.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.10.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.10.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.10.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {74   74   74   99   99   99   99   99   99   99   96   96   96   96   96   96   91   91   99   99   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   93   93   93   93   93   93   86   91   91   91   91   91   91   91   85   85   85   91   91   91   91   91   91   91   90   90   89   89   89   89   56   56   75   75   89   98   98   98   98   98   98   98   94   94   94   94   78   78   87   87   87   87   87   87   87   84   84   95   95   95   95   96   98   98   98   98   98   98   98   74   74   74   87   87   87   87   87   87   87   41   95   95   95   95   95   95   95   88   88   88   90   90   96   96   96   96   96   96   96   77   85   85   85   85   85   85   85   74   74   70   70   80   90   90   90   90   90   90   90   72   72   93   93   93   93   93   93   93   81   81   81   62   91   91   91   91   91   91   91   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   58   58   83   83   83   83   83   83   83}
@@ -3225,6 +3705,54 @@ do_execsql_test 1.11.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.11.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.11.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.11.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.11.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.11.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83   82   82   17   7}
@@ -3513,6 +4041,54 @@ do_execsql_test 1.12.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.12.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.12.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.12.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.12.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.12.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83   82   82   17   7   {}   {}}
@@ -3801,6 +4377,54 @@ do_execsql_test 1.13.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.13.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.13.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.13.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.13.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.13.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -4089,6 +4713,54 @@ do_execsql_test 1.14.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.14.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.14.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.14.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.14.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.14.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.14.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.14.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.14.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.14.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.14.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.14.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.14.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83}
@@ -4377,6 +5049,54 @@ do_execsql_test 1.15.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.15.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.15.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.15.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.15.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.15.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -4665,6 +5385,54 @@ do_execsql_test 1.16.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.16.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.16.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.16.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.16.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.16.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7   {}   {}   {}   {}}
@@ -4953,4 +5721,52 @@ do_execsql_test 1.17.11.6 {
   SELECT first_value(b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.17.12.1 {
+  SELECT lead(b,b) OVER (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   4   61   42   8   35   77   7   81   96   9   11   89   32   53   91   30   51   56   54   73   22   59   75   74   78   8   16   65   15   8   31   87   90   12   32   96   74   76   37   85   90   15   35   2   60   36   75   9   51   47   63   51   90   26   42   26   8   76   80   90   37   87   56   79   5   87   8   2   39   73   64   36   90   72   78   36   73   51   33   20   41   2   26   37   33   8   14   33   81   55   1   9   12   39   64   87   72   34   82   21   34   99   62   74   41   69   22   75   27   58   8   79   77   26   26   55   {}   29   30   7   {}   66   55   2   34   64   {}   33   {}   44   84   {}   {}   95   85   19   {}   83   {}   91   {}   {}   9   50   91   33   34   {}   {}   84   {}   7   9   {}   {}   {}   44   {}   {}   {}   {}   91   84   {}   95   95   52   {}   {}   {}   {}   {}   21   {}   {}   {}   58   {}   {}   {}   {}   {}   {}   {}   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.12.2 {
+  SELECT lead(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   81   {}   {}   {}   21   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   12   {}   62   {}   {}   {}   12   {}   {}   {}   72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   53   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   95   {}   {}   {}   {}   {}   {}   85   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   56   {}   36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   57   {}   {}   {}   {}   {}   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.12.3 {
+  SELECT lead(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   1   2   2   3   3   5   6   7   8   8   9   9   10   11   12   12   13   13   14   15   16   16   17   19   20   21   22   23   23   24   25   26   26   27   28   29   30   31   31   33   33   33   33   34   34   35   36   36   36   37   37   38   39   39   40   41   41   42   43   44   46   47   47   47   47   49   51   52   53   54   55   56   56   57   58   58   58   59   59   59   61   61   62   63   65   65   65   67   69   70   72   72   73   74   74   74   74   75   76   77   78   80   81   81   83   84   84   84   85   85   87   87   88   89   89   90   90   90   91   91   91   93   93   95   95   96   96   97   98   99   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.12.4 {
+  SELECT lead(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   80   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   11   61   81   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   12   12   72   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   13   23   63   73   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   34   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   35   85   85   95   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   26   76   86   96   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   37   47   47   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   58   58   68   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   39   49   59   99   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.12.5 {
+  SELECT lead(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   64   42   81   94   1   44   73   74   44   85   22   33   41   72   93   34   65   54   5   15   81   15   63   84   21   2   62   54   93   43   33   2   75   16   86   23   12   85   62   13   53   94   12   75   23   73   72   96   46   33   55   25   26   74   34   87   84   87   55   53   25   84   75   56   66   54   36   97   55   78   84   84   95   74   65   17   87   77   96   8   47   95   34   89   98   7   46   6   96   8   47   95   56   89   59   36   36   78   96   89   29   37   95   56   39   {}   8   58   67   85   86   {}   58   49   {}   29   76   {}   77   {}   78   56   98   36   97   {}   59   89   89   47   78   {}   {}   {}   38   68   58   {}   58   38   {}   98   {}   {}   {}   19   57   9   {}   9   {}   {}   7   {}   {}   {}   39   89   38   78   39   {}   {}   8   19   {}   {}   {}   {}   89   {}   39   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.12.6 {
+  SELECT lead(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.13.1 {
+  SELECT lag(b,b) OVER (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   26   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   38   {}   {}   {}   {}   {}   {}   {}   6   {}   0   {}   {}   {}   81   46   6   {}   {}   74   {}   23   {}   {}   {}   {}   {}   27   {}   99   {}   35   6   {}   12   {}   23   {}   41   61   84   {}   93   39   47   2   54   46   96   56   {}   16   {}   {}   {}   {}   89   {}   16   43   74   85   56   29   99   53   {}   59   33   23   91   59   53   84   99   {}   93   63   47   41   74   98   33   67   35   75   1   23   13   55   27   75   98   35   73   63   2   21   27   13   24   86   23   84   31   20   94   61   65   75   23   36   94   55   90   41   77   96   56   29   40   12   89   63   11   5   73   79   1   16   28   31   73   5   39   53   63   41   11   40   2   13   33   9   29   90   47   72   9   73   30   44   33   74   93   29   74   42   34   63   41   34   96   47   77   1   36   74   72   14   36   26   77   9   72   64   8   91   31   52   30}
+
+do_execsql_test 1.17.13.2 {
+  SELECT lag(b,b) OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   {}   81   {}   {}   {}   {}   1   {}   {}   {}   41   {}   {}   {}   {}   {}   {}   22   {}   {}   {}   12   {}   {}   62   {}   {}   {}   {}   {}   {}   {}   {}   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   43   {}   23   {}   {}   {}   {}   {}   {}   {}   {}   54   {}   {}   {}   {}   {}   {}   {}   {}   74   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   75   {}   {}   {}   {}   {}   {}   55   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   47   {}   {}   {}   {}   {}   27   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   68   {}   8   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   89   {}   {}   {}   {}   {}   {}   {}   29   9   {}   {}   {}}
+
+do_execsql_test 1.17.13.3 {
+  SELECT lag(b,b) OVER ( ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   0   1   1   1   2   2   2   2   2   2   2   2   3   3   3   4   4   5   6   6   6   7   7   7   7   7   8   8   8   8   8   8   9   9   9   9   9   9   9   9   9   9   10   11   11   11   11   11   12   12   12   12   12   12   13   13   13   14   14   15   15   15   15   15   16   16   16   16   17   19   19   20   20   21   21   22   22   22   22   23   23   23   23   23   23   24   25   25   25   26   26   26   26   26   26   26   27   27   27   27   27   27   27   27   27   27   27   28   29   29   29   29   29   30   30   30   30   31   31   31   31   31   32   32   32   32   33   33   33   33   33   33   33   33   33   33   33   33   33   33   34   34   34   34   34   35   35   35   35   36   36   36   36   36   36   36   36   37   37   37   37   37   38   38   38   39   39   39   39   39   39   39   40   41   41   41   41   41   42   43   43   44   43   44   44   44   44   46   46   46   47   47   47   47   47   47   47   49   50}
+
+do_execsql_test 1.17.13.4 {
+  SELECT lag(b,b) OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   1   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   2   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.13.5 {
+  SELECT lag(b,b) OVER ( ORDER BY b%10,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   30   {}   {}   {}   {}   {}   {}   {}   91   {}   {}   {}   61   20   81   {}   {}   {}   0   1   {}   {}   {}   41   91   {}   11   70   91   0   22   {}   81   61   12   {}   {}   62   {}   0   {}   31   81   {}   91   {}   81   23   61   41   90   90   {}   82   {}   {}   21   {}   72   43   32   23   42   {}   30   80   1   {}   60   93   54   {}   90   50   82   23   12   81   11   74   43   90   30   52   53   81   63   41   81   2   34   54   31   30   42   2   3   75   44   91   93   12   31   22   55   41   34   61   33   75   74   65   35   32   23   13   33   75   84   93   2   62   35   5   85   13   15   25   72   85   22   74   73   35   36   85   33   55   63   33   47   34   65   35   96   36   27   7   46   84   84   47   36   73   44   5   23   68   4   8   85   75   15   66   74   44   96   97   24   7   16   84   44   37   89   35   36   36   68   96   58   47   29   9   65   56   7}
+
+do_execsql_test 1.17.13.6 {
+  SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 finish_test
diff --git a/test/window4.tcl b/test/window4.tcl
index 6db83fe972..49506d4dbe 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -46,6 +46,26 @@ execsql_test 2.1 {
   SELECT a, nth_value(b, c) OVER (ORDER BY a) FROM t4
 }
 
+execsql_test 2.2.1 {
+  SELECT a, lead(b) OVER (ORDER BY a) FROM t4
+}
+execsql_test 2.2.2 {
+  SELECT a, lead(b, 2) OVER (ORDER BY a) FROM t4
+}
+execsql_test 2.2.3 {
+  SELECT a, lead(b, 3, 'abc') OVER (ORDER BY a) FROM t4
+}
+
+execsql_test 2.3.1 {
+  SELECT a, lag(b) OVER (ORDER BY a) FROM t4
+}
+execsql_test 2.3.2 {
+  SELECT a, lag(b, 2) OVER (ORDER BY a) FROM t4
+}
+execsql_test 2.3.3 {
+  SELECT a, lag(b, 3, 'abc') OVER (ORDER BY a) FROM t4
+}
+
 execsql_test 3.0 {
   DROP TABLE IF EXISTS t5;
   CREATE TABLE t5(a INTEGER PRIMARY KEY, b TEXT, c TEXT, d INTEGER);
diff --git a/test/window4.test b/test/window4.test
index b9805aa869..506723431f 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -121,6 +121,30 @@ do_execsql_test 2.1 {
   SELECT a, nth_value(b, c) OVER (ORDER BY a) FROM t4
 } {1 {}   2 {}   3 B   4 {}   5 E   6 A   7 A   8 B   9 {}   10 D}
 
+do_execsql_test 2.2.1 {
+  SELECT a, lead(b) OVER (ORDER BY a) FROM t4
+} {1 B   2 C   3 D   4 E   5 F   6 G   7 H   8 I   9 J   10 {}}
+
+do_execsql_test 2.2.2 {
+  SELECT a, lead(b, 2) OVER (ORDER BY a) FROM t4
+} {1 C   2 D   3 E   4 F   5 G   6 H   7 I   8 J   9 {}   10 {}}
+
+do_execsql_test 2.2.3 {
+  SELECT a, lead(b, 3, 'abc') OVER (ORDER BY a) FROM t4
+} {1 D   2 E   3 F   4 G   5 H   6 I   7 J   8 abc   9 abc   10 abc}
+
+do_execsql_test 2.3.1 {
+  SELECT a, lag(b) OVER (ORDER BY a) FROM t4
+} {1 {}   2 A   3 B   4 C   5 D   6 E   7 F   8 G   9 H   10 I}
+
+do_execsql_test 2.3.2 {
+  SELECT a, lag(b, 2) OVER (ORDER BY a) FROM t4
+} {1 {}   2 {}   3 A   4 B   5 C   6 D   7 E   8 F   9 G   10 H}
+
+do_execsql_test 2.3.3 {
+  SELECT a, lag(b, 3, 'abc') OVER (ORDER BY a) FROM t4
+} {1 abc   2 abc   3 abc   4 A   5 B   6 C   7 D   8 E   9 F   10 G}
+
 do_execsql_test 3.0 {
   DROP TABLE IF EXISTS t5;
   CREATE TABLE t5(a INTEGER PRIMARY KEY, b TEXT, c TEXT, d INTEGER);
@@ -135,9 +159,6 @@ do_execsql_test 3.1 {
   SELECT a, nth_value(c, d) OVER (ORDER BY b) FROM t5
 } {1 {}   3 five   5 one   2 two   4 three}
 
-explain_i {
-  SELECT a, nth_value(c, d) OVER (PARTITION BY b ORDER BY a) FROM t5
-  }
 do_execsql_test 3.2 {
   SELECT a, nth_value(c, d) OVER (PARTITION BY b ORDER BY a) FROM t5
 } {1 {}   3 {}   5 one   2 {}   4 four}

From 03854d2eccd79a5538da1ead29ed52dca85d5332 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 8 Jun 2018 11:45:28 +0000
Subject: [PATCH 038/154] Fixes to allow group_concat() to be used as a window
 function.

FossilOrigin-Name: 89bbc9ba8f66853a7530453f146c9df1baacd8558468016cefa7602911f7578a
---
 manifest           |  24 +--
 manifest.uuid      |   2 +-
 src/func.c         |  44 +++--
 src/sqliteInt.h    |   4 +-
 test/pg_common.tcl |   1 +
 test/window3.tcl   |  20 +++
 test/window3.test  | 408 +++++++++++++++++++++++++++++++++++++++++++++
 test/window4.tcl   |   6 +
 test/window4.test  |   6 +
 9 files changed, 489 insertions(+), 26 deletions(-)

diff --git a/manifest b/manifest
index feacd54e9f..557ebd3719 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\slatest\strunk\schanges\swith\sthis\sbranch.
-D 2018-06-07T20:35:28.263
+C Fixes\sto\sallow\sgroup_concat()\sto\sbe\sused\sas\sa\swindow\sfunction.
+D 2018-06-08T11:45:28.408
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -450,7 +450,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c 7c8880478dfacabff1c3e405fa11dc37e1e244a81bf6d175faecf36adb705ef0
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c 4bee7609e4a736554d3d29db9ced9f4aacb1c81ab1c19e1d02451c647afa692b
+F src/func.c 3e8a85f9bfc9117964523a5e17bdbc4b0b9d707830871cbc1dc44b9b538d5d82
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -500,7 +500,7 @@ F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf
 F src/sqlite.h.in 63b07f76731f2b1e55c48fdb9f0508dcc6fbe3971010b8612ffd847c3c56d9a1
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 7a9f462bffcfd4437982d9a0e6d557e0119fe2b7306c66b4ce1f8bc0e86587c7
+F src/sqliteInt.h 94322676f8b66faaeb21ad9bb2b60585ef72320b8e3c5df6f307a06dd231c62a
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -1150,7 +1150,7 @@ F test/pcache.test c8acbedd3b6fd0f9a7ca887a83b11d24a007972b
 F test/pcache2.test af7f3deb1a819f77a6d0d81534e97d1cf62cd442
 F test/percentile.test 4243af26b8f3f4555abe166f723715a1f74c77ff
 F test/permutations.test 10793f1de89a226fa22dde9ba9398de22571fee1bfb53a935a11be4aa014704f
-F test/pg_common.tcl 2562ad568cfaed67002f6cd9d1de3bc9d38eac99bb09acae3cdf92f8877f1a45
+F test/pg_common.tcl b50727fe1ee3369d0421eadea2c2fd247bfb9d89a8e06ececf2f6866de17abd8
 F test/pragma.test 7c8cfc328a1717a95663cf8edb06c52ddfeaf97bb0aee69ae7457132e8d39e7d
 F test/pragma2.test e5d5c176360c321344249354c0c16aec46214c9f
 F test/pragma3.test 14c12bc5352b1e100e0b6b44f371053a81ccf8ed
@@ -1620,10 +1620,10 @@ F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 905fe0842eacfd61e2f30ef7b0a84a7325ffa5cbbcd717ca30f25a142c3bca90
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl 8fdcd16a6de3e0ccc1c6f218268ba202d2f74f640e66b3cc624aeee6f2f8653b
-F test/window3.test 30da147abfe6b7e3f54b2902ccfa551966a46f3875154106c9ee34d5fa2ac455
-F test/window4.tcl 46f5d6adb4c8ad48508f28488586450a7ae010bac654ee871605f3c2217d910f
-F test/window4.test aab06a0a1be4cd9cf4ca015d04b072c9164aca508410e6ac01e2e389fa73b830
+F test/window3.tcl f2596e9d6bf8d4441eb7a0d3272594185c3b56e8d2413a54b12e6e7557517674
+F test/window3.test e43a143131e19a27148215431cf7cec8815c32c7ec04f1cf79d068adff9be028
+F test/window4.tcl 9e5698ffb729676b88290a7048ae9bb9b0d31efe0b630e51f9ce796cca737f8c
+F test/window4.test 316bf0844fa4966488b3c9d2e69a360f5b4de87022ca44f5a96a62243d9db796
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P ef34207073c21ce8618486777671ae78d23f290acd6d3c37e91a49b69cb506ac 09fffbdf9f2f6ce31a22d5a6df7a45f19a16628da622f12d6e33171cce09fb21
-R 6c2ae8ade7aa49d26d158d84b6d725cd
+P 251022034219819a1dc356542770ff46e3147a080f072eb20af6106771dadd92
+R 71ea60b8da4fc9afa69db85d8c7f3e3f
 U dan
-Z 10ebbb803780df16eda225e4dabc5af4
+Z 1cc277689f8095fe42a1da64c8288583
diff --git a/manifest.uuid b/manifest.uuid
index 31b8609ae9..4abb1ee714 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-251022034219819a1dc356542770ff46e3147a080f072eb20af6106771dadd92
\ No newline at end of file
+89bbc9ba8f66853a7530453f146c9df1baacd8558468016cefa7602911f7578a
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index e82652011d..62a545e3de 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1665,7 +1665,7 @@ static void groupConcatStep(
 
   if( pAccum ){
     sqlite3 *db = sqlite3_context_db_handle(context);
-    int firstTerm = pAccum->mxAlloc==0;
+    int firstTerm = pAccum->nChar==0;
     pAccum->mxAlloc = db->aLimit[SQLITE_LIMIT_LENGTH];
     if( !firstTerm ){
       if( argc==2 ){
@@ -1682,6 +1682,29 @@ static void groupConcatStep(
     if( zVal ) sqlite3_str_append(pAccum, zVal, nVal);
   }
 }
+static void groupConcatInverse(
+  sqlite3_context *context,
+  int argc,
+  sqlite3_value **argv
+){
+  int n;
+  assert( argc==1 || argc==2 );
+  StrAccum *pAccum;
+  if( sqlite3_value_type(argv[0])==SQLITE_NULL ) return;
+  pAccum = (StrAccum*)sqlite3_aggregate_context(context, sizeof(*pAccum));
+  if( pAccum ){
+    n = sqlite3_value_bytes(argv[0]);
+    if( argc==2 ){
+      n += sqlite3_value_bytes(argv[1]);
+    }
+    if( n>=pAccum->nChar ){
+      pAccum->nChar = 0;
+    }else{
+      pAccum->nChar -= n;
+      memmove(pAccum->zText, &pAccum->zText[n], pAccum->nChar);
+    }
+  }
+}
 static void groupConcatFinalize(sqlite3_context *context){
   StrAccum *pAccum;
   pAccum = sqlite3_aggregate_context(context, 0);
@@ -1894,16 +1917,15 @@ void sqlite3RegisterBuiltinFunctions(void){
     FUNCTION(zeroblob,           1, 0, 0, zeroblobFunc     ),
     FUNCTION(substr,             2, 0, 0, substrFunc       ),
     FUNCTION(substr,             3, 0, 0, substrFunc       ),
-    WAGGREGATE(sum,        1, 0, 0, sumStep, sumInverse,   sumFinalize),
-    WAGGREGATE(total,      1, 0, 0, sumStep, sumInverse,   totalFinalize    ),
-    WAGGREGATE(avg,        1, 0, 0, sumStep, sumInverse,   avgFinalize    ),
-    AGGREGATE2(count,            0, 0, 0, countStep,       countFinalize,
-               SQLITE_FUNC_COUNT  ),
-    WAGGREGATE(count,             1, 0, 0, countStep, 0,    countFinalize  ),
-    AGGREGATE(group_concat,      1, 0, 0, groupConcatStep, groupConcatFinalize,
-        groupConcatValue),
-    AGGREGATE(group_concat,      2, 0, 0, groupConcatStep, groupConcatFinalize,
-        groupConcatValue),
+    WAGGREGATE(sum,   1,0,0, sumStep, sumFinalize, sumFinalize, sumInverse),
+    WAGGREGATE(total, 1,0,0, sumStep, totalFinalize, totalFinalize, sumInverse),
+    WAGGREGATE(avg,   1,0,0, sumStep, avgFinalize, avgFinalize, sumInverse),
+    AGGREGATE2(count, 0,0,0, countStep, countFinalize, SQLITE_FUNC_COUNT  ),
+    WAGGREGATE(count, 1,0,0, countStep, countFinalize, 0, 0 ),
+    WAGGREGATE(group_concat, 1, 0, 0, groupConcatStep, 
+        groupConcatFinalize, groupConcatValue, groupConcatInverse),
+    WAGGREGATE(group_concat, 2, 0, 0, groupConcatStep, 
+        groupConcatFinalize, groupConcatValue, groupConcatInverse),
   
     LIKEFUNC(glob, 2, &globInfo, SQLITE_FUNC_LIKE|SQLITE_FUNC_CASE),
 #ifdef SQLITE_CASE_SENSITIVE_LIKE
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index e3c3c17ca2..d69b569f6e 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -1725,9 +1725,9 @@ struct FuncDestructor {
   {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL)|extraFlags, \
    SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xFinal,0,#zName, {0}}
 
-#define WAGGREGATE(zName, nArg, arg, nc, xStep, xInverse, xFinal) \
+#define WAGGREGATE(zName, nArg, arg, nc, xStep, xFinal, xValue, xInverse) \
   {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL), \
-   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xFinal,xInverse,#zName, {0}}
+   SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xValue,xInverse,#zName, {0}}
 
 /*
 ** All current savepoints are stored in a linked list starting at
diff --git a/test/pg_common.tcl b/test/pg_common.tcl
index 63064cafca..fcf380e9ff 100644
--- a/test/pg_common.tcl
+++ b/test/pg_common.tcl
@@ -60,6 +60,7 @@ proc execsql {sql} {
 
 proc execsql_test {tn sql} {
   set res [execsql $sql]
+  set sql [string map {string_agg group_concat} $sql]
   puts $::fd "do_execsql_test $tn {"
   puts $::fd "  [string trim $sql]"
   puts $::fd "} {$res}"
diff --git a/test/window3.tcl b/test/window3.tcl
index 9cdcfa2e62..184fb36beb 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -280,6 +280,26 @@ foreach {tn window} {
   execsql_test 1.$tn.13.6 "
     SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
   "
+
+  execsql_test 1.$tn.14.1 "
+    SELECT string_agg(CAST(b AS TEXT), '.') OVER (ORDER BY a $window) FROM t2
+  "
+
+  execsql_test 1.$tn.14.2 "
+    SELECT string_agg(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a $window) FROM t2
+  "
+  execsql_test 1.$tn.14.3 "
+    SELECT string_agg(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.14.4 "
+    SELECT string_agg(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.14.5 "
+    SELECT string_agg(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a $window ) FROM t2
+  "
+  execsql_test 1.$tn.14.6 "
+    SELECT string_agg(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
+  "
 }
 
 finish_test
diff --git a/test/window3.test b/test/window3.test
index 5b41daf6af..eb65443d97 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -393,6 +393,30 @@ do_execsql_test 1.1.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.1.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   0.74   0.74.41   0.74.41.74   0.74.41.74.23   0.74.41.74.23.99   0.74.41.74.23.99.26   0.74.41.74.23.99.26.33   0.74.41.74.23.99.26.33.2   0.74.41.74.23.99.26.33.2.89   0.74.41.74.23.99.26.33.2.89.81   0.74.41.74.23.99.26.33.2.89.81.96   0.74.41.74.23.99.26.33.2.89.81.96.59   0.74.41.74.23.99.26.33.2.89.81.96.59.38   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12   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0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7}
+
+do_execsql_test 1.1.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   0.90   0.90.40   0.90.40.30   0.90.40.30.80   0.90.40.30.80.20   0.90.40.30.80.20.90   0.90.40.30.80.20.90.60   0.90.40.30.80.20.90.60.70   0.90.40.30.80.20.90.60.70.80   0.90.40.30.80.20.90.60.70.80.90   0.90.40.30.80.20.90.60.70.80.90.30   0.90.40.30.80.20.90.60.70.80.90.30.50   0.90.40.30.80.20.90.60.70.80.90.30.50.10   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   41   41.81   41.81.91   41.81.91.61   41.81.91.61.91   41.81.91.61.91.91   41.81.91.61.91.91.1   41.81.91.61.91.91.1.81   41.81.91.61.91.91.1.81.41   41.81.91.61.91.91.1.81.41.61   41.81.91.61.91.91.1.81.41.61.1   41.81.91.61.91.91.1.81.41.61.1.21   41.81.91.61.91.91.1.81.41.61.1.21.11   41.81.91.61.91.91.1.81.41.61.1.21.11.51   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   2   2.62   2.62.12   2.62.12.32   2.62.12.32.22   2.62.12.32.22.42   2.62.12.32.22.42.2   2.62.12.32.22.42.2.72   2.62.12.32.22.42.2.72.12   2.62.12.32.22.42.2.72.12.22   2.62.12.32.22.42.2.72.12.22.2   2.62.12.32.22.42.2.72.12.22.2.72   2.62.12.32.22.42.2.72.12.22.2.72.72   2.62.12.32.22.42.2.72.12.22.2.72.72.12   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   23   23.33   23.33.93   23.33.93.23   23.33.93.23.93   23.33.93.23.93.43   23.33.93.23.93.43.3   23.33.93.23.93.43.3.43   23.33.93.23.93.43.3.43.33   23.33.93.23.93.43.3.43.33.53   23.33.93.23.93.43.3.43.33.53.63   23.33.93.23.93.43.3.43.33.53.63.73   23.33.93.23.93.43.3.43.33.53.63.73.13   23.33.93.23.93.43.3.43.33.53.63.73.13.73   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   74   74.74   74.74.54   74.74.54.84   74.74.54.84.74   74.74.54.84.74.24   74.74.54.84.74.24.4   74.74.54.84.74.24.4.94   74.74.54.84.74.24.4.94.84   74.74.54.84.74.24.4.94.84.74   74.74.54.84.74.24.4.94.84.74.34   74.74.54.84.74.24.4.94.84.74.34.34   74.74.54.84.74.24.4.94.84.74.34.34.44   74.74.54.84.74.24.4.94.84.74.34.34.44.74   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   65   65.35   65.35.85   65.35.85.85   65.35.85.85.55   65.35.85.85.55.15   65.35.85.85.55.15.25   65.35.85.85.55.15.25.75   65.35.85.85.55.15.25.75.95   65.35.85.85.55.15.25.75.95.65   65.35.85.85.55.15.25.75.95.65.65   65.35.85.85.55.15.25.75.95.65.65.35   65.35.85.85.55.15.25.75.95.65.65.35.5   65.35.85.85.55.15.25.75.95.65.65.35.5.15   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   26   26.96   26.96.46   26.96.46.6   26.96.46.6.46   26.96.46.6.46.16   26.96.46.6.46.16.16   26.96.46.6.46.16.16.86   26.96.46.6.46.16.16.86.56   26.96.46.6.46.16.16.86.56.56   26.96.46.6.46.16.16.86.56.56.56   26.96.46.6.46.16.16.86.56.56.56.16   26.96.46.6.46.16.16.86.56.56.56.16.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   97   97.27   97.27.97   97.27.97.67   97.27.97.67.77   97.27.97.67.77.47   97.27.97.67.77.47.7   97.27.97.67.77.47.7.47   97.27.97.67.77.47.7.47.87   97.27.97.67.77.47.7.47.87.37   97.27.97.67.77.47.7.47.87.37.87   97.27.97.67.77.47.7.47.87.37.87.77   97.27.97.67.77.47.7.47.87.37.87.77.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   38   38.68   38.68.78   38.68.78.8   38.68.78.8.28   38.68.78.8.28.98   38.68.78.8.28.98.78   38.68.78.8.28.98.78.58   38.68.78.8.28.98.78.58.98   38.68.78.8.28.98.78.58.98.8   38.68.78.8.28.98.78.58.98.8.88   38.68.78.8.28.98.78.58.98.8.88.8   38.68.78.8.28.98.78.58.98.8.88.8.58   38.68.78.8.28.98.78.58.98.8.88.8.58.58   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   99   99.89   99.89.59   99.89.59.39   99.89.59.39.99   99.89.59.39.99.29   99.89.59.39.99.29.59   99.89.59.39.99.29.59.89   99.89.59.39.99.29.59.89.89   99.89.59.39.99.29.59.89.89.29   99.89.59.39.99.29.59.89.89.29.9   99.89.59.39.99.29.59.89.89.29.9.79   99.89.59.39.99.29.59.89.89.29.9.79.49   99.89.59.39.99.29.59.89.89.29.9.79.49.59   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39}
+
+do_execsql_test 1.1.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0.1   0.1.1   0.1.1.2   0.1.1.2.2   0.1.1.2.2.2   0.1.1.2.2.2.3   0.1.1.2.2.2.3.3   0.1.1.2.2.2.3.3.4   0.1.1.2.2.2.3.3.4.5   0.1.1.2.2.2.3.3.4.5.6   0.1.1.2.2.2.3.3.4.5.6.7   0.1.1.2.2.2.3.3.4.5.6.7.7   0.1.1.2.2.2.3.3.4.5.6.7.7.7   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89   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0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90   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0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99}
+
+do_execsql_test 1.1.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0.10   0.10.20   0.10.20.30   0.10.20.30.30   0.10.20.30.30.30   0.10.20.30.30.30.40   0.10.20.30.30.30.40.50   0.10.20.30.30.30.40.50.60   0.10.20.30.30.30.40.50.60.70   0.10.20.30.30.30.40.50.60.70.80   0.10.20.30.30.30.40.50.60.70.80.80   0.10.20.30.30.30.40.50.60.70.80.80.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   1   1.1   1.1.11   1.1.11.11   1.1.11.11.21   1.1.11.11.21.21   1.1.11.11.21.21.31   1.1.11.11.21.21.31.31   1.1.11.11.21.21.31.31.41   1.1.11.11.21.21.31.31.41.41   1.1.11.11.21.21.31.31.41.41.41   1.1.11.11.21.21.31.31.41.41.41.51   1.1.11.11.21.21.31.31.41.41.41.51.61   1.1.11.11.21.21.31.31.41.41.41.51.61.61   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   2   2.2   2.2.2   2.2.2.12   2.2.2.12.12   2.2.2.12.12.12   2.2.2.12.12.12.22   2.2.2.12.12.12.22.22   2.2.2.12.12.12.22.22.32   2.2.2.12.12.12.22.22.32.42   2.2.2.12.12.12.22.22.32.42.52   2.2.2.12.12.12.22.22.32.42.52.62   2.2.2.12.12.12.22.22.32.42.52.62.62   2.2.2.12.12.12.22.22.32.42.52.62.62.72   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   3   3.3   3.3.13   3.3.13.13   3.3.13.13.23   3.3.13.13.23.23   3.3.13.13.23.23.23   3.3.13.13.23.23.23.33   3.3.13.13.23.23.23.33.33   3.3.13.13.23.23.23.33.33.33   3.3.13.13.23.23.23.33.33.33.33   3.3.13.13.23.23.23.33.33.33.33.33   3.3.13.13.23.23.23.33.33.33.33.33.43   3.3.13.13.23.23.23.33.33.33.33.33.43.43   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   4   4.14   4.14.24   4.14.24.34   4.14.24.34.34   4.14.24.34.34.34   4.14.24.34.34.34.34   4.14.24.34.34.34.34.44   4.14.24.34.34.34.34.44.44   4.14.24.34.34.34.34.44.44.54   4.14.24.34.34.34.34.44.44.54.64   4.14.24.34.34.34.34.44.44.54.64.74   4.14.24.34.34.34.34.44.44.54.64.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   5   5.15   5.15.15   5.15.15.15   5.15.15.15.25   5.15.15.15.25.35   5.15.15.15.25.35.35   5.15.15.15.25.35.35.55   5.15.15.15.25.35.35.55.55   5.15.15.15.25.35.35.55.55.65   5.15.15.15.25.35.35.55.55.65.65   5.15.15.15.25.35.35.55.55.65.65.65   5.15.15.15.25.35.35.55.55.65.65.65.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   6   6.16   6.16.16   6.16.16.16   6.16.16.16.26   6.16.16.16.26.26   6.16.16.16.26.26.26   6.16.16.16.26.26.26.36   6.16.16.16.26.26.26.36.36   6.16.16.16.26.26.26.36.36.36   6.16.16.16.26.26.26.36.36.36.36   6.16.16.16.26.26.26.36.36.36.36.46   6.16.16.16.26.26.26.36.36.36.36.46.46   6.16.16.16.26.26.26.36.36.36.36.46.46.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   7   7.7   7.7.7   7.7.7.17   7.7.7.17.27   7.7.7.17.27.27   7.7.7.17.27.27.37   7.7.7.17.27.27.37.37   7.7.7.17.27.27.37.37.47   7.7.7.17.27.27.37.37.47.47   7.7.7.17.27.27.37.37.47.47.47   7.7.7.17.27.27.37.37.47.47.47.47   7.7.7.17.27.27.37.37.47.47.47.47.57   7.7.7.17.27.27.37.37.47.47.47.47.57.67   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   8   8.8   8.8.8   8.8.8.28   8.8.8.28.38   8.8.8.28.38.38   8.8.8.28.38.38.58   8.8.8.28.38.38.58.58   8.8.8.28.38.38.58.58.58   8.8.8.28.38.38.58.58.58.58   8.8.8.28.38.38.58.58.58.58.68   8.8.8.28.38.38.58.58.58.58.68.78   8.8.8.28.38.38.58.58.58.58.68.78.78   8.8.8.28.38.38.58.58.58.58.68.78.78.88   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   9   9.9   9.9.9   9.9.9.19   9.9.9.19.29   9.9.9.19.29.29   9.9.9.19.29.29.29   9.9.9.19.29.29.29.39   9.9.9.19.29.29.29.39.39   9.9.9.19.29.29.29.39.39.39   9.9.9.19.29.29.29.39.39.39.49   9.9.9.19.29.29.29.39.39.39.49.59   9.9.9.19.29.29.29.39.39.39.49.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99}
+
+do_execsql_test 1.1.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0.90   0.90.40   0.90.40.30   0.90.40.30.80   0.90.40.30.80.20   0.90.40.30.80.20.90   0.90.40.30.80.20.90.60   0.90.40.30.80.20.90.60.70   0.90.40.30.80.20.90.60.70.80   0.90.40.30.80.20.90.60.70.80.90   0.90.40.30.80.20.90.60.70.80.90.30   0.90.40.30.80.20.90.60.70.80.90.30.50   0.90.40.30.80.20.90.60.70.80.90.30.50.10   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91   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0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29   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0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39}
+
+do_execsql_test 1.1.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -729,6 +753,30 @@ do_execsql_test 1.2.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.2.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   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0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7}
+
+do_execsql_test 1.2.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39}
+
+do_execsql_test 1.2.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   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0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99}
+
+do_execsql_test 1.2.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99}
+
+do_execsql_test 1.2.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   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0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39}
+
+do_execsql_test 1.2.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -1065,6 +1113,30 @@ do_execsql_test 1.3.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.3.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.3.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.3.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98   98   99   99   99}
+
+do_execsql_test 1.3.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   10   20   30   30   30   40   50   60   70   80   80   90   90   90   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   91   91   91   91   2   2   2   12   12   12   22   22   32   42   52   62   62   72   72   72   82   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   83   93   93   93   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   84   84   84   94   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   85   95   95   95   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   86   96   96   96   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   87   87   97   97   8   8   8   28   38   38   58   58   58   58   68   78   78   88   98   98   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89   89   99   99   99}
+
+do_execsql_test 1.3.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.3.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -1401,6 +1473,30 @@ do_execsql_test 1.4.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.4.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   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72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.21.39.44.58.30.38.34.83.27.82.17.7   21.39.44.58.30.38.34.83.27.82.17.7   39.44.58.30.38.34.83.27.82.17.7   44.58.30.38.34.83.27.82.17.7   58.30.38.34.83.27.82.17.7   30.38.34.83.27.82.17.7   38.34.83.27.82.17.7   34.83.27.82.17.7   83.27.82.17.7   27.82.17.7   82.17.7   17.7   7}
+
+do_execsql_test 1.4.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   90.40.30.80.20.90.60.70.80.90.30.50.10.30   40.30.80.20.90.60.70.80.90.30.50.10.30   30.80.20.90.60.70.80.90.30.50.10.30   80.20.90.60.70.80.90.30.50.10.30   20.90.60.70.80.90.30.50.10.30   90.60.70.80.90.30.50.10.30   60.70.80.90.30.50.10.30   70.80.90.30.50.10.30   80.90.30.50.10.30   90.30.50.10.30   30.50.10.30   50.10.30   10.30   30   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.61.1.21.11.51.41.31.31.11.81.91.91.21   61.1.21.11.51.41.31.31.11.81.91.91.21   1.21.11.51.41.31.31.11.81.91.91.21   21.11.51.41.31.31.11.81.91.91.21   11.51.41.31.31.11.81.91.91.21   51.41.31.31.11.81.91.91.21   41.31.31.11.81.91.91.21   31.31.11.81.91.91.21   31.11.81.91.91.21   11.81.91.91.21   81.91.91.21   91.91.21   91.21   21   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   32.22.42.2.72.12.22.2.72.72.12.62.52.82   22.42.2.72.12.22.2.72.72.12.62.52.82   42.2.72.12.22.2.72.72.12.62.52.82   2.72.12.22.2.72.72.12.62.52.82   72.12.22.2.72.72.12.62.52.82   12.22.2.72.72.12.62.52.82   22.2.72.72.12.62.52.82   2.72.72.12.62.52.82   72.72.12.62.52.82   72.12.62.52.82   12.62.52.82   62.52.82   52.82   82   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   53.63.73.13.73.73.33.93.23.13.33.3.33.83   63.73.13.73.73.33.93.23.13.33.3.33.83   73.13.73.73.33.93.23.13.33.3.33.83   13.73.73.33.93.23.13.33.3.33.83   73.73.33.93.23.13.33.3.33.83   73.33.93.23.13.33.3.33.83   33.93.23.13.33.3.33.83   93.23.13.33.3.33.83   23.13.33.3.33.83   13.33.3.33.83   33.3.33.83   3.33.83   33.83   83   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   94.84.74.34.34.44.74.64.14.34.84.84.44.34   84.74.34.34.44.74.64.14.34.84.84.44.34   74.34.34.44.74.64.14.34.84.84.44.34   34.34.44.74.64.14.34.84.84.44.34   34.44.74.64.14.34.84.84.44.34   44.74.64.14.34.84.84.44.34   74.64.14.34.84.84.44.34   64.14.34.84.84.44.34   14.34.84.84.44.34   34.84.84.44.34   84.84.44.34   84.44.34   44.34   34   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   75.95.65.65.35.5.15.95.55.75.85.75.15.95   95.65.65.35.5.15.95.55.75.85.75.15.95   65.65.35.5.15.95.55.75.85.75.15.95   65.35.5.15.95.55.75.85.75.15.95   35.5.15.95.55.75.85.75.15.95   5.15.95.55.75.85.75.15.95   15.95.55.75.85.75.15.95   95.55.75.85.75.15.95   55.75.85.75.15.95   75.85.75.15.95   85.75.15.95   75.15.95   15.95   95   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   56.56.56.16.36.76.96.96.26.26.36.66.36.36   56.56.16.36.76.96.96.26.26.36.66.36.36   56.16.36.76.96.96.26.26.36.66.36.36   16.36.76.96.96.26.26.36.66.36.36   36.76.96.96.26.26.36.66.36.36   76.96.96.26.26.36.66.36.36   96.96.26.26.36.66.36.36   96.26.26.36.66.36.36   26.26.36.66.36.36   26.36.66.36.36   36.66.36.36   66.36.36   36.36   36   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   7.47.87.37.87.77.7.57.47.47.37.27.17.7   47.87.37.87.77.7.57.47.47.37.27.17.7   87.37.87.77.7.57.47.47.37.27.17.7   37.87.77.7.57.47.47.37.27.17.7   87.77.7.57.47.47.37.27.17.7   77.7.57.47.47.37.27.17.7   7.57.47.47.37.27.17.7   57.47.47.37.27.17.7   47.47.37.27.17.7   47.37.27.17.7   37.27.17.7   27.17.7   17.7   7   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   78.8.28.98.78.58.98.8.88.8.58.58.58.38   8.28.98.78.58.98.8.88.8.58.58.58.38   28.98.78.58.98.8.88.8.58.58.58.38   98.78.58.98.8.88.8.58.58.58.38   78.58.98.8.88.8.58.58.58.38   58.98.8.88.8.58.58.58.38   98.8.88.8.58.58.58.38   8.88.8.58.58.58.38   88.8.58.58.58.38   8.58.58.58.38   58.58.58.38   58.58.38   58.38   38   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.9.79.49.59.29.59.19.39.9.9.99.69.39   9.79.49.59.29.59.19.39.9.9.99.69.39   79.49.59.29.59.19.39.9.9.99.69.39   49.59.29.59.19.39.9.9.99.69.39   59.29.59.19.39.9.9.99.69.39   29.59.19.39.9.9.99.69.39   59.19.39.9.9.99.69.39   19.39.9.9.99.69.39   39.9.9.99.69.39   9.9.99.69.39   9.99.69.39   99.69.39   69.39   39}
+
+do_execsql_test 1.4.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   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73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   94.95.95.95.96.96.96.97.97.98.98.99.99.99   95.95.95.96.96.96.97.97.98.98.99.99.99   95.95.96.96.96.97.97.98.98.99.99.99   95.96.96.96.97.97.98.98.99.99.99   96.96.96.97.97.98.98.99.99.99   96.96.97.97.98.98.99.99.99   96.97.97.98.98.99.99.99   97.97.98.98.99.99.99   97.98.98.99.99.99   98.98.99.99.99   98.99.99.99   99.99.99   99.99   99}
+
+do_execsql_test 1.4.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   10.20.30.30.30.40.50.60.70.80.80.90.90.90   20.30.30.30.40.50.60.70.80.80.90.90.90   30.30.30.40.50.60.70.80.80.90.90.90   30.30.40.50.60.70.80.80.90.90.90   30.40.50.60.70.80.80.90.90.90   40.50.60.70.80.80.90.90.90   50.60.70.80.80.90.90.90   60.70.80.80.90.90.90   70.80.80.90.90.90   80.80.90.90.90   80.90.90.90   90.90.90   90.90   90   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   41.41.41.51.61.61.81.81.81.91.91.91.91.91   41.41.51.61.61.81.81.81.91.91.91.91.91   41.51.61.61.81.81.81.91.91.91.91.91   51.61.61.81.81.81.91.91.91.91.91   61.61.81.81.81.91.91.91.91.91   61.81.81.81.91.91.91.91.91   81.81.81.91.91.91.91.91   81.81.91.91.91.91.91   81.91.91.91.91.91   91.91.91.91.91   91.91.91.91   91.91.91   91.91   91   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   12.12.12.22.22.32.42.52.62.62.72.72.72.82   12.12.22.22.32.42.52.62.62.72.72.72.82   12.22.22.32.42.52.62.62.72.72.72.82   22.22.32.42.52.62.62.72.72.72.82   22.32.42.52.62.62.72.72.72.82   32.42.52.62.62.72.72.72.82   42.52.62.62.72.72.72.82   52.62.62.72.72.72.82   62.62.72.72.72.82   62.72.72.72.82   72.72.72.82   72.72.82   72.82   82   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.43.43.53.63.73.73.73.83.93.93.93   33.43.43.53.63.73.73.73.83.93.93.93   43.43.53.63.73.73.73.83.93.93.93   43.53.63.73.73.73.83.93.93.93   53.63.73.73.73.83.93.93.93   63.73.73.73.83.93.93.93   73.73.73.83.93.93.93   73.73.83.93.93.93   73.83.93.93.93   83.93.93.93   93.93.93   93.93   93   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   44.44.54.64.74.74.74.74.74.84.84.84.84.94   44.54.64.74.74.74.74.74.84.84.84.84.94   54.64.74.74.74.74.74.84.84.84.84.94   64.74.74.74.74.74.84.84.84.84.94   74.74.74.74.74.84.84.84.84.94   74.74.74.74.84.84.84.84.94   74.74.74.84.84.84.84.94   74.74.84.84.84.84.94   74.84.84.84.84.94   84.84.84.84.94   84.84.84.94   84.84.94   84.94   94   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   55.55.65.65.65.75.75.75.85.85.85.95.95.95   55.65.65.65.75.75.75.85.85.85.95.95.95   65.65.65.75.75.75.85.85.85.95.95.95   65.65.75.75.75.85.85.85.95.95.95   65.75.75.75.85.85.85.95.95.95   75.75.75.85.85.85.95.95.95   75.75.85.85.85.95.95.95   75.85.85.85.95.95.95   85.85.85.95.95.95   85.85.95.95.95   85.95.95.95   95.95.95   95.95   95   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.46.46.56.56.56.66.76.86.96.96.96   36.46.46.56.56.56.66.76.86.96.96.96   46.46.56.56.56.66.76.86.96.96.96   46.56.56.56.66.76.86.96.96.96   56.56.56.66.76.86.96.96.96   56.56.66.76.86.96.96.96   56.66.76.86.96.96.96   66.76.86.96.96.96   76.86.96.96.96   86.96.96.96   96.96.96   96.96   96   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   37.37.47.47.47.47.57.67.77.77.87.87.97.97   37.47.47.47.47.57.67.77.77.87.87.97.97   47.47.47.47.57.67.77.77.87.87.97.97   47.47.47.57.67.77.77.87.87.97.97   47.47.57.67.77.77.87.87.97.97   47.57.67.77.77.87.87.97.97   57.67.77.77.87.87.97.97   67.77.77.87.87.97.97   77.77.87.87.97.97   77.87.87.97.97   87.87.97.97   87.97.97   97.97   97   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.28.38.38.58.58.58.58.68.78.78.88.98.98   28.38.38.58.58.58.58.68.78.78.88.98.98   38.38.58.58.58.58.68.78.78.88.98.98   38.58.58.58.58.68.78.78.88.98.98   58.58.58.58.68.78.78.88.98.98   58.58.58.68.78.78.88.98.98   58.58.68.78.78.88.98.98   58.68.78.78.88.98.98   68.78.78.88.98.98   78.78.88.98.98   78.88.98.98   88.98.98   98.98   98   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.49.59.59.59.59.69.79.89.89.89.99.99.99   49.59.59.59.59.69.79.89.89.89.99.99.99   59.59.59.59.69.79.89.89.89.99.99.99   59.59.59.69.79.89.89.89.99.99.99   59.59.69.79.89.89.89.99.99.99   59.69.79.89.89.89.99.99.99   69.79.89.89.89.99.99.99   79.89.89.89.99.99.99   89.89.89.99.99.99   89.89.99.99.99   89.99.99.99   99.99.99   99.99   99}
+
+do_execsql_test 1.4.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   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85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   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67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.9.79.49.59.29.59.19.39.9.9.99.69.39   9.79.49.59.29.59.19.39.9.9.99.69.39   79.49.59.29.59.19.39.9.9.99.69.39   49.59.29.59.19.39.9.9.99.69.39   59.29.59.19.39.9.9.99.69.39   29.59.19.39.9.9.99.69.39   59.19.39.9.9.99.69.39   19.39.9.9.99.69.39   39.9.9.99.69.39   9.9.99.69.39   9.99.69.39   99.69.39   69.39   39}
+
+do_execsql_test 1.4.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -1737,6 +1833,30 @@ do_execsql_test 1.5.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.5.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   0   0.74   0.74.41   0.74.41.74   0.74.41.74.23   0.74.41.74.23.99   0.74.41.74.23.99.26   0.74.41.74.23.99.26.33   0.74.41.74.23.99.26.33.2   0.74.41.74.23.99.26.33.2.89   0.74.41.74.23.99.26.33.2.89.81   0.74.41.74.23.99.26.33.2.89.81.96   0.74.41.74.23.99.26.33.2.89.81.96.59   0.74.41.74.23.99.26.33.2.89.81.96.59.38   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90   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0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83}
+
+do_execsql_test 1.5.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   0   0.90   0.90.40   0.90.40.30   0.90.40.30.80   0.90.40.30.80.20   0.90.40.30.80.20.90   0.90.40.30.80.20.90.60   0.90.40.30.80.20.90.60.70   0.90.40.30.80.20.90.60.70.80   0.90.40.30.80.20.90.60.70.80.90   {}   {}   {}   {}   41   41.81   41.81.91   41.81.91.61   41.81.91.61.91   41.81.91.61.91.91   41.81.91.61.91.91.1   41.81.91.61.91.91.1.81   41.81.91.61.91.91.1.81.41   41.81.91.61.91.91.1.81.41.61   41.81.91.61.91.91.1.81.41.61.1   41.81.91.61.91.91.1.81.41.61.1.21   41.81.91.61.91.91.1.81.41.61.1.21.11   41.81.91.61.91.91.1.81.41.61.1.21.11.51   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11   {}   {}   {}   {}   2   2.62   2.62.12   2.62.12.32   2.62.12.32.22   2.62.12.32.22.42   2.62.12.32.22.42.2   2.62.12.32.22.42.2.72   2.62.12.32.22.42.2.72.12   2.62.12.32.22.42.2.72.12.22   2.62.12.32.22.42.2.72.12.22.2   2.62.12.32.22.42.2.72.12.22.2.72   2.62.12.32.22.42.2.72.12.22.2.72.72   {}   {}   {}   {}   23   23.33   23.33.93   23.33.93.23   23.33.93.23.93   23.33.93.23.93.43   23.33.93.23.93.43.3   23.33.93.23.93.43.3.43   23.33.93.23.93.43.3.43.33   23.33.93.23.93.43.3.43.33.53   23.33.93.23.93.43.3.43.33.53.63   23.33.93.23.93.43.3.43.33.53.63.73   23.33.93.23.93.43.3.43.33.53.63.73.13   23.33.93.23.93.43.3.43.33.53.63.73.13.73   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13   {}   {}   {}   {}   74   74.74   74.74.54   74.74.54.84   74.74.54.84.74   74.74.54.84.74.24   74.74.54.84.74.24.4   74.74.54.84.74.24.4.94   74.74.54.84.74.24.4.94.84   74.74.54.84.74.24.4.94.84.74   74.74.54.84.74.24.4.94.84.74.34   74.74.54.84.74.24.4.94.84.74.34.34   74.74.54.84.74.24.4.94.84.74.34.34.44   74.74.54.84.74.24.4.94.84.74.34.34.44.74   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34   {}   {}   {}   {}   65   65.35   65.35.85   65.35.85.85   65.35.85.85.55   65.35.85.85.55.15   65.35.85.85.55.15.25   65.35.85.85.55.15.25.75   65.35.85.85.55.15.25.75.95   65.35.85.85.55.15.25.75.95.65   65.35.85.85.55.15.25.75.95.65.65   65.35.85.85.55.15.25.75.95.65.65.35   65.35.85.85.55.15.25.75.95.65.65.35.5   65.35.85.85.55.15.25.75.95.65.65.35.5.15   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75   {}   {}   {}   {}   26   26.96   26.96.46   26.96.46.6   26.96.46.6.46   26.96.46.6.46.16   26.96.46.6.46.16.16   26.96.46.6.46.16.16.86   26.96.46.6.46.16.16.86.56   26.96.46.6.46.16.16.86.56.56   26.96.46.6.46.16.16.86.56.56.56   26.96.46.6.46.16.16.86.56.56.56.16   26.96.46.6.46.16.16.86.56.56.56.16.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26   {}   {}   {}   {}   97   97.27   97.27.97   97.27.97.67   97.27.97.67.77   97.27.97.67.77.47   97.27.97.67.77.47.7   97.27.97.67.77.47.7.47   97.27.97.67.77.47.7.47.87   97.27.97.67.77.47.7.47.87.37   97.27.97.67.77.47.7.47.87.37.87   97.27.97.67.77.47.7.47.87.37.87.77   97.27.97.67.77.47.7.47.87.37.87.77.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47   {}   {}   {}   {}   38   38.68   38.68.78   38.68.78.8   38.68.78.8.28   38.68.78.8.28.98   38.68.78.8.28.98.78   38.68.78.8.28.98.78.58   38.68.78.8.28.98.78.58.98   38.68.78.8.28.98.78.58.98.8   38.68.78.8.28.98.78.58.98.8.88   38.68.78.8.28.98.78.58.98.8.88.8   {}   {}   {}   {}   99   99.89   99.89.59   99.89.59.39   99.89.59.39.99   99.89.59.39.99.29   99.89.59.39.99.29.59   99.89.59.39.99.29.59.89   99.89.59.39.99.29.59.89.89   99.89.59.39.99.29.59.89.89.29   99.89.59.39.99.29.59.89.89.29.9   99.89.59.39.99.29.59.89.89.29.9.79   99.89.59.39.99.29.59.89.89.29.9.79.49   99.89.59.39.99.29.59.89.89.29.9.79.49.59   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9}
+
+do_execsql_test 1.5.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   0   0.1   0.1.1   0.1.1.2   0.1.1.2.2   0.1.1.2.2.2   0.1.1.2.2.2.3   0.1.1.2.2.2.3.3   0.1.1.2.2.2.3.3.4   0.1.1.2.2.2.3.3.4.5   0.1.1.2.2.2.3.3.4.5.6   0.1.1.2.2.2.3.3.4.5.6.7   0.1.1.2.2.2.3.3.4.5.6.7.7   0.1.1.2.2.2.3.3.4.5.6.7.7.7   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98}
+
+do_execsql_test 1.5.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   0   0.10   0.10.20   0.10.20.30   0.10.20.30.30   0.10.20.30.30.30   0.10.20.30.30.30.40   0.10.20.30.30.30.40.50   0.10.20.30.30.30.40.50.60   0.10.20.30.30.30.40.50.60.70   0.10.20.30.30.30.40.50.60.70.80   {}   {}   {}   {}   1   1.1   1.1.11   1.1.11.11   1.1.11.11.21   1.1.11.11.21.21   1.1.11.11.21.21.31   1.1.11.11.21.21.31.31   1.1.11.11.21.21.31.31.41   1.1.11.11.21.21.31.31.41.41   1.1.11.11.21.21.31.31.41.41.41   1.1.11.11.21.21.31.31.41.41.41.51   1.1.11.11.21.21.31.31.41.41.41.51.61   1.1.11.11.21.21.31.31.41.41.41.51.61.61   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91   {}   {}   {}   {}   2   2.2   2.2.2   2.2.2.12   2.2.2.12.12   2.2.2.12.12.12   2.2.2.12.12.12.22   2.2.2.12.12.12.22.22   2.2.2.12.12.12.22.22.32   2.2.2.12.12.12.22.22.32.42   2.2.2.12.12.12.22.22.32.42.52   2.2.2.12.12.12.22.22.32.42.52.62   2.2.2.12.12.12.22.22.32.42.52.62.62   {}   {}   {}   {}   3   3.3   3.3.13   3.3.13.13   3.3.13.13.23   3.3.13.13.23.23   3.3.13.13.23.23.23   3.3.13.13.23.23.23.33   3.3.13.13.23.23.23.33.33   3.3.13.13.23.23.23.33.33.33   3.3.13.13.23.23.23.33.33.33.33   3.3.13.13.23.23.23.33.33.33.33.33   3.3.13.13.23.23.23.33.33.33.33.33.43   3.3.13.13.23.23.23.33.33.33.33.33.43.43   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73   {}   {}   {}   {}   4   4.14   4.14.24   4.14.24.34   4.14.24.34.34   4.14.24.34.34.34   4.14.24.34.34.34.34   4.14.24.34.34.34.34.44   4.14.24.34.34.34.34.44.44   4.14.24.34.34.34.34.44.44.54   4.14.24.34.34.34.34.44.44.54.64   4.14.24.34.34.34.34.44.44.54.64.74   4.14.24.34.34.34.34.44.44.54.64.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84   {}   {}   {}   {}   5   5.15   5.15.15   5.15.15.15   5.15.15.15.25   5.15.15.15.25.35   5.15.15.15.25.35.35   5.15.15.15.25.35.35.55   5.15.15.15.25.35.35.55.55   5.15.15.15.25.35.35.55.55.65   5.15.15.15.25.35.35.55.55.65.65   5.15.15.15.25.35.35.55.55.65.65.65   5.15.15.15.25.35.35.55.55.65.65.65.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85   {}   {}   {}   {}   6   6.16   6.16.16   6.16.16.16   6.16.16.16.26   6.16.16.16.26.26   6.16.16.16.26.26.26   6.16.16.16.26.26.26.36   6.16.16.16.26.26.26.36.36   6.16.16.16.26.26.26.36.36.36   6.16.16.16.26.26.26.36.36.36.36   6.16.16.16.26.26.26.36.36.36.36.46   6.16.16.16.26.26.26.36.36.36.36.46.46   6.16.16.16.26.26.26.36.36.36.36.46.46.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76   {}   {}   {}   {}   7   7.7   7.7.7   7.7.7.17   7.7.7.17.27   7.7.7.17.27.27   7.7.7.17.27.27.37   7.7.7.17.27.27.37.37   7.7.7.17.27.27.37.37.47   7.7.7.17.27.27.37.37.47.47   7.7.7.17.27.27.37.37.47.47.47   7.7.7.17.27.27.37.37.47.47.47.47   7.7.7.17.27.27.37.37.47.47.47.47.57   7.7.7.17.27.27.37.37.47.47.47.47.57.67   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77   {}   {}   {}   {}   8   8.8   8.8.8   8.8.8.28   8.8.8.28.38   8.8.8.28.38.38   8.8.8.28.38.38.58   8.8.8.28.38.38.58.58   8.8.8.28.38.38.58.58.58   8.8.8.28.38.38.58.58.58.58   8.8.8.28.38.38.58.58.58.58.68   8.8.8.28.38.38.58.58.58.58.68.78   {}   {}   {}   {}   9   9.9   9.9.9   9.9.9.19   9.9.9.19.29   9.9.9.19.29.29   9.9.9.19.29.29.29   9.9.9.19.29.29.29.39   9.9.9.19.29.29.29.39.39   9.9.9.19.29.29.29.39.39.39   9.9.9.19.29.29.29.39.39.39.49   9.9.9.19.29.29.29.39.39.39.49.59   9.9.9.19.29.29.29.39.39.39.49.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89}
+
+do_execsql_test 1.5.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {{}   {}   {}   {}   0   0.90   0.90.40   0.90.40.30   0.90.40.30.80   0.90.40.30.80.20   0.90.40.30.80.20.90   0.90.40.30.80.20.90.60   0.90.40.30.80.20.90.60.70   0.90.40.30.80.20.90.60.70.80   0.90.40.30.80.20.90.60.70.80.90   0.90.40.30.80.20.90.60.70.80.90.30   0.90.40.30.80.20.90.60.70.80.90.30.50   0.90.40.30.80.20.90.60.70.80.90.30.50.10   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91   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0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9}
+
+do_execsql_test 1.5.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.6.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   0   74   74   74   74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83}
@@ -2073,6 +2193,30 @@ do_execsql_test 1.6.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.6.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   0   0.74   0.74.41   74.41.74   41.74.23   74.23.99   23.99.26   99.26.33   26.33.2   33.2.89   2.89.81   89.81.96   81.96.59   96.59.38   59.38.68   38.68.39   68.39.62   39.62.91   62.91.46   91.46.6   46.6.99   6.99.97   99.97.27   97.27.46   27.46.78   46.78.54   78.54.97   54.97.8   97.8.67   8.67.29   67.29.93   29.93.84   93.84.77   84.77.23   77.23.16   23.16.16   16.16.93   16.93.65   93.65.35   65.35.47   35.47.7   47.7.86   7.86.74   86.74.61   74.61.91   61.91.85   91.85.24   85.24.85   24.85.43   85.43.59   43.59.12   59.12.32   12.32.56   32.56.3   56.3.91   3.91.22   91.22.90   22.90.55   90.55.15   55.15.28   15.28.89   28.89.25   89.25.47   25.47.1   47.1.56   1.56.40   56.40.43   40.43.56   43.56.16   56.16.75   16.75.36   75.36.89   36.89.98   89.98.76   98.76.81   76.81.4   81.4.94   4.94.42   94.42.30   42.30.78   30.78.33   78.33.29   33.29.53   29.53.63   53.63.2   63.2.87   2.87.37   87.37.80   37.80.84   80.84.72   84.72.41   72.41.9   41.9.61   9.61.73   61.73.95   73.95.65   95.65.13   65.13.58   13.58.96   58.96.98   96.98.1   98.1.21   1.21.74   21.74.65   74.65.35   65.35.5   35.5.73   5.73.11   73.11.51   11.51.87   51.87.41   87.41.12   41.12.8   12.8.20   8.20.31   20.31.31   31.31.15   31.15.95   15.95.22   95.22.73   22.73.79   73.79.88   79.88.34   88.34.8   34.8.11   8.11.49   11.49.34   49.34.90   34.90.59   90.59.96   59.96.60   96.60.55   60.55.75   55.75.77   75.77.44   77.44.2   44.2.7   2.7.85   7.85.57   85.57.74   57.74.29   74.29.70   29.70.59   70.59.19   59.19.39   19.39.26   39.26.26   26.26.47   26.47.80   47.80.90   80.90.36   90.36.58   36.58.47   58.47.9   47.9.72   9.72.72   72.72.66   72.66.33   66.33.93   33.93.75   93.75.64   75.64.81   64.81.9   81.9.23   9.23.37   23.37.13   37.13.12   13.12.14   12.14.62   14.62.91   62.91.36   91.36.91   36.91.33   91.33.15   33.15.34   15.34.36   34.36.99   36.99.3   99.3.95   3.95.69   95.69.58   69.58.52   58.52.30   52.30.50   30.50.84   50.84.10   84.10.84   10.84.33   84.33.21   33.21.39   21.39.44   39.44.58   44.58.30   58.30.38   30.38.34   38.34.83   34.83.27   83.27.82}
+
+do_execsql_test 1.6.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   0   0.90   0.90.40   90.40.30   40.30.80   30.80.20   80.20.90   20.90.60   90.60.70   60.70.80   70.80.90   80.90.30   90.30.50   {}   {}   41   41.81   41.81.91   81.91.61   91.61.91   61.91.91   91.91.1   91.1.81   1.81.41   81.41.61   41.61.1   61.1.21   1.21.11   21.11.51   11.51.41   51.41.31   41.31.31   31.31.11   31.11.81   11.81.91   {}   {}   2   2.62   2.62.12   62.12.32   12.32.22   32.22.42   22.42.2   42.2.72   2.72.12   72.12.22   12.22.2   22.2.72   2.72.72   72.72.12   72.12.62   {}   {}   23   23.33   23.33.93   33.93.23   93.23.93   23.93.43   93.43.3   43.3.43   3.43.33   43.33.53   33.53.63   53.63.73   63.73.13   73.13.73   13.73.73   73.73.33   73.33.93   33.93.23   93.23.13   23.13.33   13.33.3   {}   {}   74   74.74   74.74.54   74.54.84   54.84.74   84.74.24   74.24.4   24.4.94   4.94.84   94.84.74   84.74.34   74.34.34   34.34.44   34.44.74   44.74.64   74.64.14   64.14.34   14.34.84   34.84.84   {}   {}   65   65.35   65.35.85   35.85.85   85.85.55   85.55.15   55.15.25   15.25.75   25.75.95   75.95.65   95.65.65   65.65.35   65.35.5   35.5.15   5.15.95   15.95.55   95.55.75   55.75.85   75.85.75   {}   {}   26   26.96   26.96.46   96.46.6   46.6.46   6.46.16   46.16.16   16.16.86   16.86.56   86.56.56   56.56.56   56.56.16   56.16.36   16.36.76   36.76.96   76.96.96   96.96.26   96.26.26   26.26.36   26.36.66   {}   {}   97   97.27   97.27.97   27.97.67   97.67.77   67.77.47   77.47.7   47.7.47   7.47.87   47.87.37   87.37.87   37.87.77   87.77.7   77.7.57   7.57.47   57.47.47   47.47.37   47.37.27   {}   {}   38   38.68   38.68.78   68.78.8   78.8.28   8.28.98   28.98.78   98.78.58   78.58.98   58.98.8   98.8.88   8.88.8   88.8.58   8.58.58   {}   {}   99   99.89   99.89.59   89.59.39   59.39.99   39.99.29   99.29.59   29.59.89   59.89.89   89.89.29   89.29.9   29.9.79   9.79.49   79.49.59   49.59.29   59.29.59   29.59.19   59.19.39   19.39.9   39.9.9   9.9.99}
+
+do_execsql_test 1.6.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   0   0.1   0.1.1   1.1.2   1.2.2   2.2.2   2.2.3   2.3.3   3.3.4   3.4.5   4.5.6   5.6.7   6.7.7   7.7.7   7.7.8   7.8.8   8.8.8   8.8.9   8.9.9   9.9.9   9.9.10   9.10.11   10.11.11   11.11.12   11.12.12   12.12.12   12.12.13   12.13.13   13.13.14   13.14.15   14.15.15   15.15.15   15.15.16   15.16.16   16.16.16   16.16.17   16.17.19   17.19.20   19.20.21   20.21.21   21.21.22   21.22.22   22.22.23   22.23.23   23.23.23   23.23.24   23.24.25   24.25.26   25.26.26   26.26.26   26.26.27   26.27.27   27.27.28   27.28.29   28.29.29   29.29.29   29.29.30   29.30.30   30.30.30   30.30.31   30.31.31   31.31.32   31.32.33   32.33.33   33.33.33   33.33.33   33.33.33   33.33.34   33.34.34   34.34.34   34.34.34   34.34.35   34.35.35   35.35.36   35.36.36   36.36.36   36.36.36   36.36.37   36.37.37   37.37.38   37.38.38   38.38.39   38.39.39   39.39.39   39.39.40   39.40.41   40.41.41   41.41.41   41.41.42   41.42.43   42.43.43   43.43.44   43.44.44   44.44.46   44.46.46   46.46.47   46.47.47   47.47.47   47.47.47   47.47.49   47.49.50   49.50.51   50.51.52   51.52.53   52.53.54   53.54.55   54.55.55   55.55.56   55.56.56   56.56.56   56.56.57   56.57.58   57.58.58   58.58.58   58.58.58   58.58.59   58.59.59   59.59.59   59.59.59   59.59.60   59.60.61   60.61.61   61.61.62   61.62.62   62.62.63   62.63.64   63.64.65   64.65.65   65.65.65   65.65.66   65.66.67   66.67.68   67.68.69   68.69.70   69.70.72   70.72.72   72.72.72   72.72.73   72.73.73   73.73.73   73.73.74   73.74.74   74.74.74   74.74.74   74.74.74   74.74.75   74.75.75   75.75.75   75.75.76   75.76.77   76.77.77   77.77.78   77.78.78   78.78.79   78.79.80   79.80.80   80.80.81   80.81.81   81.81.81   81.81.82   81.82.83   82.83.84   83.84.84   84.84.84   84.84.84   84.84.85   84.85.85   85.85.85   85.85.86   85.86.87   86.87.87   87.87.88   87.88.89   88.89.89   89.89.89   89.89.90   89.90.90   90.90.90   90.90.91   90.91.91   91.91.91   91.91.91   91.91.91   91.91.93   91.93.93   93.93.93   93.93.94   93.94.95   94.95.95   95.95.95   95.95.96   95.96.96   96.96.96   96.96.97   96.97.97   97.97.98   97.98.98   98.98.99}
+
+do_execsql_test 1.6.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   0   0.10   0.10.20   10.20.30   20.30.30   30.30.30   30.30.40   30.40.50   40.50.60   50.60.70   60.70.80   70.80.80   80.80.90   {}   {}   1   1.1   1.1.11   1.11.11   11.11.21   11.21.21   21.21.31   21.31.31   31.31.41   31.41.41   41.41.41   41.41.51   41.51.61   51.61.61   61.61.81   61.81.81   81.81.81   81.81.91   81.91.91   91.91.91   {}   {}   2   2.2   2.2.2   2.2.12   2.12.12   12.12.12   12.12.22   12.22.22   22.22.32   22.32.42   32.42.52   42.52.62   52.62.62   62.62.72   62.72.72   {}   {}   3   3.3   3.3.13   3.13.13   13.13.23   13.23.23   23.23.23   23.23.33   23.33.33   33.33.33   33.33.33   33.33.33   33.33.43   33.43.43   43.43.53   43.53.63   53.63.73   63.73.73   73.73.73   73.73.83   73.83.93   {}   {}   4   4.14   4.14.24   14.24.34   24.34.34   34.34.34   34.34.34   34.34.44   34.44.44   44.44.54   44.54.64   54.64.74   64.74.74   74.74.74   74.74.74   74.74.74   74.74.84   74.84.84   84.84.84   {}   {}   5   5.15   5.15.15   15.15.15   15.15.25   15.25.35   25.35.35   35.35.55   35.55.55   55.55.65   55.65.65   65.65.65   65.65.75   65.75.75   75.75.75   75.75.85   75.85.85   85.85.85   85.85.95   {}   {}   6   6.16   6.16.16   16.16.16   16.16.26   16.26.26   26.26.26   26.26.36   26.36.36   36.36.36   36.36.36   36.36.46   36.46.46   46.46.56   46.56.56   56.56.56   56.56.66   56.66.76   66.76.86   76.86.96   {}   {}   7   7.7   7.7.7   7.7.17   7.17.27   17.27.27   27.27.37   27.37.37   37.37.47   37.47.47   47.47.47   47.47.47   47.47.57   47.57.67   57.67.77   67.77.77   77.77.87   77.87.87   {}   {}   8   8.8   8.8.8   8.8.28   8.28.38   28.38.38   38.38.58   38.58.58   58.58.58   58.58.58   58.58.68   58.68.78   68.78.78   78.78.88   {}   {}   9   9.9   9.9.9   9.9.19   9.19.29   19.29.29   29.29.29   29.29.39   29.39.39   39.39.39   39.39.49   39.49.59   49.59.59   59.59.59   59.59.59   59.59.69   59.69.79   69.79.89   79.89.89   89.89.89   89.89.99}
+
+do_execsql_test 1.6.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {{}   {}   0   0.90   0.90.40   90.40.30   40.30.80   30.80.20   80.20.90   20.90.60   90.60.70   60.70.80   70.80.90   80.90.30   90.30.50   30.50.10   50.10.30   10.30.41   30.41.81   41.81.91   81.91.61   91.61.91   61.91.91   91.91.1   91.1.81   1.81.41   81.41.61   41.61.1   61.1.21   1.21.11   21.11.51   11.51.41   51.41.31   41.31.31   31.31.11   31.11.81   11.81.91   81.91.91   91.91.21   91.21.2   21.2.62   2.62.12   62.12.32   12.32.22   32.22.42   22.42.2   42.2.72   2.72.12   72.12.22   12.22.2   22.2.72   2.72.72   72.72.12   72.12.62   12.62.52   62.52.82   52.82.23   82.23.33   23.33.93   33.93.23   93.23.93   23.93.43   93.43.3   43.3.43   3.43.33   43.33.53   33.53.63   53.63.73   63.73.13   73.13.73   13.73.73   73.73.33   73.33.93   33.93.23   93.23.13   23.13.33   13.33.3   33.3.33   3.33.83   33.83.74   83.74.74   74.74.54   74.54.84   54.84.74   84.74.24   74.24.4   24.4.94   4.94.84   94.84.74   84.74.34   74.34.34   34.34.44   34.44.74   44.74.64   74.64.14   64.14.34   14.34.84   34.84.84   84.84.44   84.44.34   44.34.65   34.65.35   65.35.85   35.85.85   85.85.55   85.55.15   55.15.25   15.25.75   25.75.95   75.95.65   95.65.65   65.65.35   65.35.5   35.5.15   5.15.95   15.95.55   95.55.75   55.75.85   75.85.75   85.75.15   75.15.95   15.95.26   95.26.96   26.96.46   96.46.6   46.6.46   6.46.16   46.16.16   16.16.86   16.86.56   86.56.56   56.56.56   56.56.16   56.16.36   16.36.76   36.76.96   76.96.96   96.96.26   96.26.26   26.26.36   26.36.66   36.66.36   66.36.36   36.36.97   36.97.27   97.27.97   27.97.67   97.67.77   67.77.47   77.47.7   47.7.47   7.47.87   47.87.37   87.37.87   37.87.77   87.77.7   77.7.57   7.57.47   57.47.47   47.47.37   47.37.27   37.27.17   27.17.7   17.7.38   7.38.68   38.68.78   68.78.8   78.8.28   8.28.98   28.98.78   98.78.58   78.58.98   58.98.8   98.8.88   8.88.8   88.8.58   8.58.58   58.58.58   58.58.38   58.38.99   38.99.89   99.89.59   89.59.39   59.39.99   39.99.29   99.29.59   29.59.89   59.89.89   89.89.29   89.29.9   29.9.79   9.79.49   79.49.59   49.59.29   59.29.59   29.59.19   59.19.39   19.39.9   39.9.9   9.9.99}
+
+do_execsql_test 1.6.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -2409,6 +2553,30 @@ do_execsql_test 1.7.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.7.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   0.74   0.74.41   0.74.41.74   0.74.41.74.23   0.74.41.74.23.99   0.74.41.74.23.99.26   0.74.41.74.23.99.26.33   0.74.41.74.23.99.26.33.2   0.74.41.74.23.99.26.33.2.89   0.74.41.74.23.99.26.33.2.89.81   0.74.41.74.23.99.26.33.2.89.81.96   0.74.41.74.23.99.26.33.2.89.81.96.59   0.74.41.74.23.99.26.33.2.89.81.96.59.38   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12   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0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7}
+
+do_execsql_test 1.7.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   0.90   0.90.40   0.90.40.30   0.90.40.30.80   0.90.40.30.80.20   0.90.40.30.80.20.90   0.90.40.30.80.20.90.60   0.90.40.30.80.20.90.60.70   0.90.40.30.80.20.90.60.70.80   0.90.40.30.80.20.90.60.70.80.90   0.90.40.30.80.20.90.60.70.80.90.30   0.90.40.30.80.20.90.60.70.80.90.30.50   0.90.40.30.80.20.90.60.70.80.90.30.50.10   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   41   41.81   41.81.91   41.81.91.61   41.81.91.61.91   41.81.91.61.91.91   41.81.91.61.91.91.1   41.81.91.61.91.91.1.81   41.81.91.61.91.91.1.81.41   41.81.91.61.91.91.1.81.41.61   41.81.91.61.91.91.1.81.41.61.1   41.81.91.61.91.91.1.81.41.61.1.21   41.81.91.61.91.91.1.81.41.61.1.21.11   41.81.91.61.91.91.1.81.41.61.1.21.11.51   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   2   2.62   2.62.12   2.62.12.32   2.62.12.32.22   2.62.12.32.22.42   2.62.12.32.22.42.2   2.62.12.32.22.42.2.72   2.62.12.32.22.42.2.72.12   2.62.12.32.22.42.2.72.12.22   2.62.12.32.22.42.2.72.12.22.2   2.62.12.32.22.42.2.72.12.22.2.72   2.62.12.32.22.42.2.72.12.22.2.72.72   2.62.12.32.22.42.2.72.12.22.2.72.72.12   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   23   23.33   23.33.93   23.33.93.23   23.33.93.23.93   23.33.93.23.93.43   23.33.93.23.93.43.3   23.33.93.23.93.43.3.43   23.33.93.23.93.43.3.43.33   23.33.93.23.93.43.3.43.33.53   23.33.93.23.93.43.3.43.33.53.63   23.33.93.23.93.43.3.43.33.53.63.73   23.33.93.23.93.43.3.43.33.53.63.73.13   23.33.93.23.93.43.3.43.33.53.63.73.13.73   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   74   74.74   74.74.54   74.74.54.84   74.74.54.84.74   74.74.54.84.74.24   74.74.54.84.74.24.4   74.74.54.84.74.24.4.94   74.74.54.84.74.24.4.94.84   74.74.54.84.74.24.4.94.84.74   74.74.54.84.74.24.4.94.84.74.34   74.74.54.84.74.24.4.94.84.74.34.34   74.74.54.84.74.24.4.94.84.74.34.34.44   74.74.54.84.74.24.4.94.84.74.34.34.44.74   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   65   65.35   65.35.85   65.35.85.85   65.35.85.85.55   65.35.85.85.55.15   65.35.85.85.55.15.25   65.35.85.85.55.15.25.75   65.35.85.85.55.15.25.75.95   65.35.85.85.55.15.25.75.95.65   65.35.85.85.55.15.25.75.95.65.65   65.35.85.85.55.15.25.75.95.65.65.35   65.35.85.85.55.15.25.75.95.65.65.35.5   65.35.85.85.55.15.25.75.95.65.65.35.5.15   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   26   26.96   26.96.46   26.96.46.6   26.96.46.6.46   26.96.46.6.46.16   26.96.46.6.46.16.16   26.96.46.6.46.16.16.86   26.96.46.6.46.16.16.86.56   26.96.46.6.46.16.16.86.56.56   26.96.46.6.46.16.16.86.56.56.56   26.96.46.6.46.16.16.86.56.56.56.16   26.96.46.6.46.16.16.86.56.56.56.16.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   97   97.27   97.27.97   97.27.97.67   97.27.97.67.77   97.27.97.67.77.47   97.27.97.67.77.47.7   97.27.97.67.77.47.7.47   97.27.97.67.77.47.7.47.87   97.27.97.67.77.47.7.47.87.37   97.27.97.67.77.47.7.47.87.37.87   97.27.97.67.77.47.7.47.87.37.87.77   97.27.97.67.77.47.7.47.87.37.87.77.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   38   38.68   38.68.78   38.68.78.8   38.68.78.8.28   38.68.78.8.28.98   38.68.78.8.28.98.78   38.68.78.8.28.98.78.58   38.68.78.8.28.98.78.58.98   38.68.78.8.28.98.78.58.98.8   38.68.78.8.28.98.78.58.98.8.88   38.68.78.8.28.98.78.58.98.8.88.8   38.68.78.8.28.98.78.58.98.8.88.8.58   38.68.78.8.28.98.78.58.98.8.88.8.58.58   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   99   99.89   99.89.59   99.89.59.39   99.89.59.39.99   99.89.59.39.99.29   99.89.59.39.99.29.59   99.89.59.39.99.29.59.89   99.89.59.39.99.29.59.89.89   99.89.59.39.99.29.59.89.89.29   99.89.59.39.99.29.59.89.89.29.9   99.89.59.39.99.29.59.89.89.29.9.79   99.89.59.39.99.29.59.89.89.29.9.79.49   99.89.59.39.99.29.59.89.89.29.9.79.49.59   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39}
+
+do_execsql_test 1.7.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0.1   0.1.1   0.1.1.2   0.1.1.2.2   0.1.1.2.2.2   0.1.1.2.2.2.3   0.1.1.2.2.2.3.3   0.1.1.2.2.2.3.3.4   0.1.1.2.2.2.3.3.4.5   0.1.1.2.2.2.3.3.4.5.6   0.1.1.2.2.2.3.3.4.5.6.7   0.1.1.2.2.2.3.3.4.5.6.7.7   0.1.1.2.2.2.3.3.4.5.6.7.7.7   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89   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0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90   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0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99}
+
+do_execsql_test 1.7.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0.10   0.10.20   0.10.20.30   0.10.20.30.30   0.10.20.30.30.30   0.10.20.30.30.30.40   0.10.20.30.30.30.40.50   0.10.20.30.30.30.40.50.60   0.10.20.30.30.30.40.50.60.70   0.10.20.30.30.30.40.50.60.70.80   0.10.20.30.30.30.40.50.60.70.80.80   0.10.20.30.30.30.40.50.60.70.80.80.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   1   1.1   1.1.11   1.1.11.11   1.1.11.11.21   1.1.11.11.21.21   1.1.11.11.21.21.31   1.1.11.11.21.21.31.31   1.1.11.11.21.21.31.31.41   1.1.11.11.21.21.31.31.41.41   1.1.11.11.21.21.31.31.41.41.41   1.1.11.11.21.21.31.31.41.41.41.51   1.1.11.11.21.21.31.31.41.41.41.51.61   1.1.11.11.21.21.31.31.41.41.41.51.61.61   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   2   2.2   2.2.2   2.2.2.12   2.2.2.12.12   2.2.2.12.12.12   2.2.2.12.12.12.22   2.2.2.12.12.12.22.22   2.2.2.12.12.12.22.22.32   2.2.2.12.12.12.22.22.32.42   2.2.2.12.12.12.22.22.32.42.52   2.2.2.12.12.12.22.22.32.42.52.62   2.2.2.12.12.12.22.22.32.42.52.62.62   2.2.2.12.12.12.22.22.32.42.52.62.62.72   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   3   3.3   3.3.13   3.3.13.13   3.3.13.13.23   3.3.13.13.23.23   3.3.13.13.23.23.23   3.3.13.13.23.23.23.33   3.3.13.13.23.23.23.33.33   3.3.13.13.23.23.23.33.33.33   3.3.13.13.23.23.23.33.33.33.33   3.3.13.13.23.23.23.33.33.33.33.33   3.3.13.13.23.23.23.33.33.33.33.33.43   3.3.13.13.23.23.23.33.33.33.33.33.43.43   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   4   4.14   4.14.24   4.14.24.34   4.14.24.34.34   4.14.24.34.34.34   4.14.24.34.34.34.34   4.14.24.34.34.34.34.44   4.14.24.34.34.34.34.44.44   4.14.24.34.34.34.34.44.44.54   4.14.24.34.34.34.34.44.44.54.64   4.14.24.34.34.34.34.44.44.54.64.74   4.14.24.34.34.34.34.44.44.54.64.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   5   5.15   5.15.15   5.15.15.15   5.15.15.15.25   5.15.15.15.25.35   5.15.15.15.25.35.35   5.15.15.15.25.35.35.55   5.15.15.15.25.35.35.55.55   5.15.15.15.25.35.35.55.55.65   5.15.15.15.25.35.35.55.55.65.65   5.15.15.15.25.35.35.55.55.65.65.65   5.15.15.15.25.35.35.55.55.65.65.65.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   6   6.16   6.16.16   6.16.16.16   6.16.16.16.26   6.16.16.16.26.26   6.16.16.16.26.26.26   6.16.16.16.26.26.26.36   6.16.16.16.26.26.26.36.36   6.16.16.16.26.26.26.36.36.36   6.16.16.16.26.26.26.36.36.36.36   6.16.16.16.26.26.26.36.36.36.36.46   6.16.16.16.26.26.26.36.36.36.36.46.46   6.16.16.16.26.26.26.36.36.36.36.46.46.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   7   7.7   7.7.7   7.7.7.17   7.7.7.17.27   7.7.7.17.27.27   7.7.7.17.27.27.37   7.7.7.17.27.27.37.37   7.7.7.17.27.27.37.37.47   7.7.7.17.27.27.37.37.47.47   7.7.7.17.27.27.37.37.47.47.47   7.7.7.17.27.27.37.37.47.47.47.47   7.7.7.17.27.27.37.37.47.47.47.47.57   7.7.7.17.27.27.37.37.47.47.47.47.57.67   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   8   8.8   8.8.8   8.8.8.28   8.8.8.28.38   8.8.8.28.38.38   8.8.8.28.38.38.58   8.8.8.28.38.38.58.58   8.8.8.28.38.38.58.58.58   8.8.8.28.38.38.58.58.58.58   8.8.8.28.38.38.58.58.58.58.68   8.8.8.28.38.38.58.58.58.58.68.78   8.8.8.28.38.38.58.58.58.58.68.78.78   8.8.8.28.38.38.58.58.58.58.68.78.78.88   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   9   9.9   9.9.9   9.9.9.19   9.9.9.19.29   9.9.9.19.29.29   9.9.9.19.29.29.29   9.9.9.19.29.29.29.39   9.9.9.19.29.29.29.39.39   9.9.9.19.29.29.29.39.39.39   9.9.9.19.29.29.29.39.39.39.49   9.9.9.19.29.29.29.39.39.39.49.59   9.9.9.19.29.29.29.39.39.39.49.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99}
+
+do_execsql_test 1.7.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {0   0.90   0.90.40   0.90.40.30   0.90.40.30.80   0.90.40.30.80.20   0.90.40.30.80.20.90   0.90.40.30.80.20.90.60   0.90.40.30.80.20.90.60.70   0.90.40.30.80.20.90.60.70.80   0.90.40.30.80.20.90.60.70.80.90   0.90.40.30.80.20.90.60.70.80.90.30   0.90.40.30.80.20.90.60.70.80.90.30.50   0.90.40.30.80.20.90.60.70.80.90.30.50.10   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91   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0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39}
+
+do_execsql_test 1.7.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83}
@@ -2745,6 +2913,30 @@ do_execsql_test 1.8.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.8.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   0.74   0.74.41   0.74.41.74   0.74.41.74.23   74.41.74.23.99   41.74.23.99.26   74.23.99.26.33   23.99.26.33.2   99.26.33.2.89   26.33.2.89.81   33.2.89.81.96   2.89.81.96.59   89.81.96.59.38   81.96.59.38.68   96.59.38.68.39   59.38.68.39.62   38.68.39.62.91   68.39.62.91.46   39.62.91.46.6   62.91.46.6.99   91.46.6.99.97   46.6.99.97.27   6.99.97.27.46   99.97.27.46.78   97.27.46.78.54   27.46.78.54.97   46.78.54.97.8   78.54.97.8.67   54.97.8.67.29   97.8.67.29.93   8.67.29.93.84   67.29.93.84.77   29.93.84.77.23   93.84.77.23.16   84.77.23.16.16   77.23.16.16.93   23.16.16.93.65   16.16.93.65.35   16.93.65.35.47   93.65.35.47.7   65.35.47.7.86   35.47.7.86.74   47.7.86.74.61   7.86.74.61.91   86.74.61.91.85   74.61.91.85.24   61.91.85.24.85   91.85.24.85.43   85.24.85.43.59   24.85.43.59.12   85.43.59.12.32   43.59.12.32.56   59.12.32.56.3   12.32.56.3.91   32.56.3.91.22   56.3.91.22.90   3.91.22.90.55   91.22.90.55.15   22.90.55.15.28   90.55.15.28.89   55.15.28.89.25   15.28.89.25.47   28.89.25.47.1   89.25.47.1.56   25.47.1.56.40   47.1.56.40.43   1.56.40.43.56   56.40.43.56.16   40.43.56.16.75   43.56.16.75.36   56.16.75.36.89   16.75.36.89.98   75.36.89.98.76   36.89.98.76.81   89.98.76.81.4   98.76.81.4.94   76.81.4.94.42   81.4.94.42.30   4.94.42.30.78   94.42.30.78.33   42.30.78.33.29   30.78.33.29.53   78.33.29.53.63   33.29.53.63.2   29.53.63.2.87   53.63.2.87.37   63.2.87.37.80   2.87.37.80.84   87.37.80.84.72   37.80.84.72.41   80.84.72.41.9   84.72.41.9.61   72.41.9.61.73   41.9.61.73.95   9.61.73.95.65   61.73.95.65.13   73.95.65.13.58   95.65.13.58.96   65.13.58.96.98   13.58.96.98.1   58.96.98.1.21   96.98.1.21.74   98.1.21.74.65   1.21.74.65.35   21.74.65.35.5   74.65.35.5.73   65.35.5.73.11   35.5.73.11.51   5.73.11.51.87   73.11.51.87.41   11.51.87.41.12   51.87.41.12.8   87.41.12.8.20   41.12.8.20.31   12.8.20.31.31   8.20.31.31.15   20.31.31.15.95   31.31.15.95.22   31.15.95.22.73   15.95.22.73.79   95.22.73.79.88   22.73.79.88.34   73.79.88.34.8   79.88.34.8.11   88.34.8.11.49   34.8.11.49.34   8.11.49.34.90   11.49.34.90.59   49.34.90.59.96   34.90.59.96.60   90.59.96.60.55   59.96.60.55.75   96.60.55.75.77   60.55.75.77.44   55.75.77.44.2   75.77.44.2.7   77.44.2.7.85   44.2.7.85.57   2.7.85.57.74   7.85.57.74.29   85.57.74.29.70   57.74.29.70.59   74.29.70.59.19   29.70.59.19.39   70.59.19.39.26   59.19.39.26.26   19.39.26.26.47   39.26.26.47.80   26.26.47.80.90   26.47.80.90.36   47.80.90.36.58   80.90.36.58.47   90.36.58.47.9   36.58.47.9.72   58.47.9.72.72   47.9.72.72.66   9.72.72.66.33   72.72.66.33.93   72.66.33.93.75   66.33.93.75.64   33.93.75.64.81   93.75.64.81.9   75.64.81.9.23   64.81.9.23.37   81.9.23.37.13   9.23.37.13.12   23.37.13.12.14   37.13.12.14.62   13.12.14.62.91   12.14.62.91.36   14.62.91.36.91   62.91.36.91.33   91.36.91.33.15   36.91.33.15.34   91.33.15.34.36   33.15.34.36.99   15.34.36.99.3   34.36.99.3.95   36.99.3.95.69   99.3.95.69.58   3.95.69.58.52   95.69.58.52.30   69.58.52.30.50   58.52.30.50.84   52.30.50.84.10   30.50.84.10.84   50.84.10.84.33   84.10.84.33.21   10.84.33.21.39   84.33.21.39.44   33.21.39.44.58   21.39.44.58.30   39.44.58.30.38   44.58.30.38.34   58.30.38.34.83   30.38.34.83.27   38.34.83.27.82   34.83.27.82.17   83.27.82.17.7}
+
+do_execsql_test 1.8.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   0.90   0.90.40   0.90.40.30   0.90.40.30.80   90.40.30.80.20   40.30.80.20.90   30.80.20.90.60   80.20.90.60.70   20.90.60.70.80   90.60.70.80.90   60.70.80.90.30   70.80.90.30.50   80.90.30.50.10   90.30.50.10.30   41   41.81   41.81.91   41.81.91.61   41.81.91.61.91   81.91.61.91.91   91.61.91.91.1   61.91.91.1.81   91.91.1.81.41   91.1.81.41.61   1.81.41.61.1   81.41.61.1.21   41.61.1.21.11   61.1.21.11.51   1.21.11.51.41   21.11.51.41.31   11.51.41.31.31   51.41.31.31.11   41.31.31.11.81   31.31.11.81.91   31.11.81.91.91   11.81.91.91.21   2   2.62   2.62.12   2.62.12.32   2.62.12.32.22   62.12.32.22.42   12.32.22.42.2   32.22.42.2.72   22.42.2.72.12   42.2.72.12.22   2.72.12.22.2   72.12.22.2.72   12.22.2.72.72   22.2.72.72.12   2.72.72.12.62   72.72.12.62.52   72.12.62.52.82   23   23.33   23.33.93   23.33.93.23   23.33.93.23.93   33.93.23.93.43   93.23.93.43.3   23.93.43.3.43   93.43.3.43.33   43.3.43.33.53   3.43.33.53.63   43.33.53.63.73   33.53.63.73.13   53.63.73.13.73   63.73.13.73.73   73.13.73.73.33   13.73.73.33.93   73.73.33.93.23   73.33.93.23.13   33.93.23.13.33   93.23.13.33.3   23.13.33.3.33   13.33.3.33.83   74   74.74   74.74.54   74.74.54.84   74.74.54.84.74   74.54.84.74.24   54.84.74.24.4   84.74.24.4.94   74.24.4.94.84   24.4.94.84.74   4.94.84.74.34   94.84.74.34.34   84.74.34.34.44   74.34.34.44.74   34.34.44.74.64   34.44.74.64.14   44.74.64.14.34   74.64.14.34.84   64.14.34.84.84   14.34.84.84.44   34.84.84.44.34   65   65.35   65.35.85   65.35.85.85   65.35.85.85.55   35.85.85.55.15   85.85.55.15.25   85.55.15.25.75   55.15.25.75.95   15.25.75.95.65   25.75.95.65.65   75.95.65.65.35   95.65.65.35.5   65.65.35.5.15   65.35.5.15.95   35.5.15.95.55   5.15.95.55.75   15.95.55.75.85   95.55.75.85.75   55.75.85.75.15   75.85.75.15.95   26   26.96   26.96.46   26.96.46.6   26.96.46.6.46   96.46.6.46.16   46.6.46.16.16   6.46.16.16.86   46.16.16.86.56   16.16.86.56.56   16.86.56.56.56   86.56.56.56.16   56.56.56.16.36   56.56.16.36.76   56.16.36.76.96   16.36.76.96.96   36.76.96.96.26   76.96.96.26.26   96.96.26.26.36   96.26.26.36.66   26.26.36.66.36   26.36.66.36.36   97   97.27   97.27.97   97.27.97.67   97.27.97.67.77   27.97.67.77.47   97.67.77.47.7   67.77.47.7.47   77.47.7.47.87   47.7.47.87.37   7.47.87.37.87   47.87.37.87.77   87.37.87.77.7   37.87.77.7.57   87.77.7.57.47   77.7.57.47.47   7.57.47.47.37   57.47.47.37.27   47.47.37.27.17   47.37.27.17.7   38   38.68   38.68.78   38.68.78.8   38.68.78.8.28   68.78.8.28.98   78.8.28.98.78   8.28.98.78.58   28.98.78.58.98   98.78.58.98.8   78.58.98.8.88   58.98.8.88.8   98.8.88.8.58   8.88.8.58.58   88.8.58.58.58   8.58.58.58.38   99   99.89   99.89.59   99.89.59.39   99.89.59.39.99   89.59.39.99.29   59.39.99.29.59   39.99.29.59.89   99.29.59.89.89   29.59.89.89.29   59.89.89.29.9   89.89.29.9.79   89.29.9.79.49   29.9.79.49.59   9.79.49.59.29   79.49.59.29.59   49.59.29.59.19   59.29.59.19.39   29.59.19.39.9   59.19.39.9.9   19.39.9.9.99   39.9.9.99.69   9.9.99.69.39}
+
+do_execsql_test 1.8.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   0.1   0.1.1   0.1.1.2   0.1.1.2.2   1.1.2.2.2   1.2.2.2.3   2.2.2.3.3   2.2.3.3.4   2.3.3.4.5   3.3.4.5.6   3.4.5.6.7   4.5.6.7.7   5.6.7.7.7   6.7.7.7.8   7.7.7.8.8   7.7.8.8.8   7.8.8.8.9   8.8.8.9.9   8.8.9.9.9   8.9.9.9.10   9.9.9.10.11   9.9.10.11.11   9.10.11.11.12   10.11.11.12.12   11.11.12.12.12   11.12.12.12.13   12.12.12.13.13   12.12.13.13.14   12.13.13.14.15   13.13.14.15.15   13.14.15.15.15   14.15.15.15.16   15.15.15.16.16   15.15.16.16.16   15.16.16.16.17   16.16.16.17.19   16.16.17.19.20   16.17.19.20.21   17.19.20.21.21   19.20.21.21.22   20.21.21.22.22   21.21.22.22.23   21.22.22.23.23   22.22.23.23.23   22.23.23.23.24   23.23.23.24.25   23.23.24.25.26   23.24.25.26.26   24.25.26.26.26   25.26.26.26.27   26.26.26.27.27   26.26.27.27.28   26.27.27.28.29   27.27.28.29.29   27.28.29.29.29   28.29.29.29.30   29.29.29.30.30   29.29.30.30.30   29.30.30.30.31   30.30.30.31.31   30.30.31.31.32   30.31.31.32.33   31.31.32.33.33   31.32.33.33.33   32.33.33.33.33   33.33.33.33.33   33.33.33.33.34   33.33.33.34.34   33.33.34.34.34   33.34.34.34.34   34.34.34.34.35   34.34.34.35.35   34.34.35.35.36   34.35.35.36.36   35.35.36.36.36   35.36.36.36.36   36.36.36.36.37   36.36.36.37.37   36.36.37.37.38   36.37.37.38.38   37.37.38.38.39   37.38.38.39.39   38.38.39.39.39   38.39.39.39.40   39.39.39.40.41   39.39.40.41.41   39.40.41.41.41   40.41.41.41.42   41.41.41.42.43   41.41.42.43.43   41.42.43.43.44   42.43.43.44.44   43.43.44.44.46   43.44.44.46.46   44.44.46.46.47   44.46.46.47.47   46.46.47.47.47   46.47.47.47.47   47.47.47.47.49   47.47.47.49.50   47.47.49.50.51   47.49.50.51.52   49.50.51.52.53   50.51.52.53.54   51.52.53.54.55   52.53.54.55.55   53.54.55.55.56   54.55.55.56.56   55.55.56.56.56   55.56.56.56.57   56.56.56.57.58   56.56.57.58.58   56.57.58.58.58   57.58.58.58.58   58.58.58.58.59   58.58.58.59.59   58.58.59.59.59   58.59.59.59.59   59.59.59.59.60   59.59.59.60.61   59.59.60.61.61   59.60.61.61.62   60.61.61.62.62   61.61.62.62.63   61.62.62.63.64   62.62.63.64.65   62.63.64.65.65   63.64.65.65.65   64.65.65.65.66   65.65.65.66.67   65.65.66.67.68   65.66.67.68.69   66.67.68.69.70   67.68.69.70.72   68.69.70.72.72   69.70.72.72.72   70.72.72.72.73   72.72.72.73.73   72.72.73.73.73   72.73.73.73.74   73.73.73.74.74   73.73.74.74.74   73.74.74.74.74   74.74.74.74.74   74.74.74.74.75   74.74.74.75.75   74.74.75.75.75   74.75.75.75.76   75.75.75.76.77   75.75.76.77.77   75.76.77.77.78   76.77.77.78.78   77.77.78.78.79   77.78.78.79.80   78.78.79.80.80   78.79.80.80.81   79.80.80.81.81   80.80.81.81.81   80.81.81.81.82   81.81.81.82.83   81.81.82.83.84   81.82.83.84.84   82.83.84.84.84   83.84.84.84.84   84.84.84.84.85   84.84.84.85.85   84.84.85.85.85   84.85.85.85.86   85.85.85.86.87   85.85.86.87.87   85.86.87.87.88   86.87.87.88.89   87.87.88.89.89   87.88.89.89.89   88.89.89.89.90   89.89.89.90.90   89.89.90.90.90   89.90.90.90.91   90.90.90.91.91   90.90.91.91.91   90.91.91.91.91   91.91.91.91.91   91.91.91.91.93   91.91.91.93.93   91.91.93.93.93   91.93.93.93.94   93.93.93.94.95   93.93.94.95.95   93.94.95.95.95   94.95.95.95.96   95.95.95.96.96   95.95.96.96.96   95.96.96.96.97   96.96.96.97.97   96.96.97.97.98   96.97.97.98.98   97.97.98.98.99   97.98.98.99.99   98.98.99.99.99}
+
+do_execsql_test 1.8.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   0.10   0.10.20   0.10.20.30   0.10.20.30.30   10.20.30.30.30   20.30.30.30.40   30.30.30.40.50   30.30.40.50.60   30.40.50.60.70   40.50.60.70.80   50.60.70.80.80   60.70.80.80.90   70.80.80.90.90   80.80.90.90.90   1   1.1   1.1.11   1.1.11.11   1.1.11.11.21   1.11.11.21.21   11.11.21.21.31   11.21.21.31.31   21.21.31.31.41   21.31.31.41.41   31.31.41.41.41   31.41.41.41.51   41.41.41.51.61   41.41.51.61.61   41.51.61.61.81   51.61.61.81.81   61.61.81.81.81   61.81.81.81.91   81.81.81.91.91   81.81.91.91.91   81.91.91.91.91   91.91.91.91.91   2   2.2   2.2.2   2.2.2.12   2.2.2.12.12   2.2.12.12.12   2.12.12.12.22   12.12.12.22.22   12.12.22.22.32   12.22.22.32.42   22.22.32.42.52   22.32.42.52.62   32.42.52.62.62   42.52.62.62.72   52.62.62.72.72   62.62.72.72.72   62.72.72.72.82   3   3.3   3.3.13   3.3.13.13   3.3.13.13.23   3.13.13.23.23   13.13.23.23.23   13.23.23.23.33   23.23.23.33.33   23.23.33.33.33   23.33.33.33.33   33.33.33.33.33   33.33.33.33.43   33.33.33.43.43   33.33.43.43.53   33.43.43.53.63   43.43.53.63.73   43.53.63.73.73   53.63.73.73.73   63.73.73.73.83   73.73.73.83.93   73.73.83.93.93   73.83.93.93.93   4   4.14   4.14.24   4.14.24.34   4.14.24.34.34   14.24.34.34.34   24.34.34.34.34   34.34.34.34.44   34.34.34.44.44   34.34.44.44.54   34.44.44.54.64   44.44.54.64.74   44.54.64.74.74   54.64.74.74.74   64.74.74.74.74   74.74.74.74.74   74.74.74.74.84   74.74.74.84.84   74.74.84.84.84   74.84.84.84.84   84.84.84.84.94   5   5.15   5.15.15   5.15.15.15   5.15.15.15.25   15.15.15.25.35   15.15.25.35.35   15.25.35.35.55   25.35.35.55.55   35.35.55.55.65   35.55.55.65.65   55.55.65.65.65   55.65.65.65.75   65.65.65.75.75   65.65.75.75.75   65.75.75.75.85   75.75.75.85.85   75.75.85.85.85   75.85.85.85.95   85.85.85.95.95   85.85.95.95.95   6   6.16   6.16.16   6.16.16.16   6.16.16.16.26   16.16.16.26.26   16.16.26.26.26   16.26.26.26.36   26.26.26.36.36   26.26.36.36.36   26.36.36.36.36   36.36.36.36.46   36.36.36.46.46   36.36.46.46.56   36.46.46.56.56   46.46.56.56.56   46.56.56.56.66   56.56.56.66.76   56.56.66.76.86   56.66.76.86.96   66.76.86.96.96   76.86.96.96.96   7   7.7   7.7.7   7.7.7.17   7.7.7.17.27   7.7.17.27.27   7.17.27.27.37   17.27.27.37.37   27.27.37.37.47   27.37.37.47.47   37.37.47.47.47   37.47.47.47.47   47.47.47.47.57   47.47.47.57.67   47.47.57.67.77   47.57.67.77.77   57.67.77.77.87   67.77.77.87.87   77.77.87.87.97   77.87.87.97.97   8   8.8   8.8.8   8.8.8.28   8.8.8.28.38   8.8.28.38.38   8.28.38.38.58   28.38.38.58.58   38.38.58.58.58   38.58.58.58.58   58.58.58.58.68   58.58.58.68.78   58.58.68.78.78   58.68.78.78.88   68.78.78.88.98   78.78.88.98.98   9   9.9   9.9.9   9.9.9.19   9.9.9.19.29   9.9.19.29.29   9.19.29.29.29   19.29.29.29.39   29.29.29.39.39   29.29.39.39.39   29.39.39.39.49   39.39.39.49.59   39.39.49.59.59   39.49.59.59.59   49.59.59.59.59   59.59.59.59.69   59.59.59.69.79   59.59.69.79.89   59.69.79.89.89   69.79.89.89.89   79.89.89.89.99   89.89.89.99.99   89.89.99.99.99}
+
+do_execsql_test 1.8.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {0   0.90   0.90.40   0.90.40.30   0.90.40.30.80   90.40.30.80.20   40.30.80.20.90   30.80.20.90.60   80.20.90.60.70   20.90.60.70.80   90.60.70.80.90   60.70.80.90.30   70.80.90.30.50   80.90.30.50.10   90.30.50.10.30   30.50.10.30.41   50.10.30.41.81   10.30.41.81.91   30.41.81.91.61   41.81.91.61.91   81.91.61.91.91   91.61.91.91.1   61.91.91.1.81   91.91.1.81.41   91.1.81.41.61   1.81.41.61.1   81.41.61.1.21   41.61.1.21.11   61.1.21.11.51   1.21.11.51.41   21.11.51.41.31   11.51.41.31.31   51.41.31.31.11   41.31.31.11.81   31.31.11.81.91   31.11.81.91.91   11.81.91.91.21   81.91.91.21.2   91.91.21.2.62   91.21.2.62.12   21.2.62.12.32   2.62.12.32.22   62.12.32.22.42   12.32.22.42.2   32.22.42.2.72   22.42.2.72.12   42.2.72.12.22   2.72.12.22.2   72.12.22.2.72   12.22.2.72.72   22.2.72.72.12   2.72.72.12.62   72.72.12.62.52   72.12.62.52.82   12.62.52.82.23   62.52.82.23.33   52.82.23.33.93   82.23.33.93.23   23.33.93.23.93   33.93.23.93.43   93.23.93.43.3   23.93.43.3.43   93.43.3.43.33   43.3.43.33.53   3.43.33.53.63   43.33.53.63.73   33.53.63.73.13   53.63.73.13.73   63.73.13.73.73   73.13.73.73.33   13.73.73.33.93   73.73.33.93.23   73.33.93.23.13   33.93.23.13.33   93.23.13.33.3   23.13.33.3.33   13.33.3.33.83   33.3.33.83.74   3.33.83.74.74   33.83.74.74.54   83.74.74.54.84   74.74.54.84.74   74.54.84.74.24   54.84.74.24.4   84.74.24.4.94   74.24.4.94.84   24.4.94.84.74   4.94.84.74.34   94.84.74.34.34   84.74.34.34.44   74.34.34.44.74   34.34.44.74.64   34.44.74.64.14   44.74.64.14.34   74.64.14.34.84   64.14.34.84.84   14.34.84.84.44   34.84.84.44.34   84.84.44.34.65   84.44.34.65.35   44.34.65.35.85   34.65.35.85.85   65.35.85.85.55   35.85.85.55.15   85.85.55.15.25   85.55.15.25.75   55.15.25.75.95   15.25.75.95.65   25.75.95.65.65   75.95.65.65.35   95.65.65.35.5   65.65.35.5.15   65.35.5.15.95   35.5.15.95.55   5.15.95.55.75   15.95.55.75.85   95.55.75.85.75   55.75.85.75.15   75.85.75.15.95   85.75.15.95.26   75.15.95.26.96   15.95.26.96.46   95.26.96.46.6   26.96.46.6.46   96.46.6.46.16   46.6.46.16.16   6.46.16.16.86   46.16.16.86.56   16.16.86.56.56   16.86.56.56.56   86.56.56.56.16   56.56.56.16.36   56.56.16.36.76   56.16.36.76.96   16.36.76.96.96   36.76.96.96.26   76.96.96.26.26   96.96.26.26.36   96.26.26.36.66   26.26.36.66.36   26.36.66.36.36   36.66.36.36.97   66.36.36.97.27   36.36.97.27.97   36.97.27.97.67   97.27.97.67.77   27.97.67.77.47   97.67.77.47.7   67.77.47.7.47   77.47.7.47.87   47.7.47.87.37   7.47.87.37.87   47.87.37.87.77   87.37.87.77.7   37.87.77.7.57   87.77.7.57.47   77.7.57.47.47   7.57.47.47.37   57.47.47.37.27   47.47.37.27.17   47.37.27.17.7   37.27.17.7.38   27.17.7.38.68   17.7.38.68.78   7.38.68.78.8   38.68.78.8.28   68.78.8.28.98   78.8.28.98.78   8.28.98.78.58   28.98.78.58.98   98.78.58.98.8   78.58.98.8.88   58.98.8.88.8   98.8.88.8.58   8.88.8.58.58   88.8.58.58.58   8.58.58.58.38   58.58.58.38.99   58.58.38.99.89   58.38.99.89.59   38.99.89.59.39   99.89.59.39.99   89.59.39.99.29   59.39.99.29.59   39.99.29.59.89   99.29.59.89.89   29.59.89.89.29   59.89.89.29.9   89.89.29.9.79   89.29.9.79.49   29.9.79.49.59   9.79.49.59.29   79.49.59.29.59   49.59.29.59.19   59.29.59.19.39   29.59.19.39.9   59.19.39.9.9   19.39.9.9.99   39.9.9.99.69   9.9.99.69.39}
+
+do_execsql_test 1.8.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -3081,6 +3273,30 @@ do_execsql_test 1.9.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.9.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
+
+do_execsql_test 1.9.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.9.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   1   1   2   2   2   3   3   4   5   6   7   7   7   8   8   8   9   9   9   10   11   11   12   12   12   13   13   14   15   15   15   16   16   16   17   19   20   21   21   22   22   23   23   23   24   25   26   26   26   27   27   28   29   29   29   30   30   30   31   31   32   33   33   33   33   33   34   34   34   34   35   35   36   36   36   36   37   37   38   38   39   39   39   40   41   41   41   42   43   43   44   44   46   46   47   47   47   47   49   50   51   52   53   54   55   55   56   56   56   57   58   58   58   58   59   59   59   59   60   61   61   62   62   63   64   65   65   65   66   67   68   69   70   72   72   72   73   73   73   74   74   74   74   74   75   75   75   76   77   77   78   78   79   80   80   81   81   81   82   83   84   84   84   84   85   85   85   86   87   87   88   89   89   89   90   90   90   91   91   91   91   91   93   93   93   94   95   95   95   96   96   96   97   97   98   98   99   99   99}
+
+do_execsql_test 1.9.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   10   20   30   30   30   40   50   60   70   80   80   90   90   90   1   1   11   11   21   21   31   31   41   41   41   51   61   61   81   81   81   91   91   91   91   91   2   2   2   12   12   12   22   22   32   42   52   62   62   72   72   72   82   3   3   13   13   23   23   23   33   33   33   33   33   43   43   53   63   73   73   73   83   93   93   93   4   14   24   34   34   34   34   44   44   54   64   74   74   74   74   74   84   84   84   84   94   5   15   15   15   25   35   35   55   55   65   65   65   75   75   75   85   85   85   95   95   95   6   16   16   16   26   26   26   36   36   36   36   46   46   56   56   56   66   76   86   96   96   96   7   7   7   17   27   27   37   37   47   47   47   47   57   67   77   77   87   87   97   97   8   8   8   28   38   38   58   58   58   58   68   78   78   88   98   98   9   9   9   19   29   29   29   39   39   39   49   59   59   59   59   69   79   89   89   89   99   99   99}
+
+do_execsql_test 1.9.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {0   90   40   30   80   20   90   60   70   80   90   30   50   10   30   41   81   91   61   91   91   1   81   41   61   1   21   11   51   41   31   31   11   81   91   91   21   2   62   12   32   22   42   2   72   12   22   2   72   72   12   62   52   82   23   33   93   23   93   43   3   43   33   53   63   73   13   73   73   33   93   23   13   33   3   33   83   74   74   54   84   74   24   4   94   84   74   34   34   44   74   64   14   34   84   84   44   34   65   35   85   85   55   15   25   75   95   65   65   35   5   15   95   55   75   85   75   15   95   26   96   46   6   46   16   16   86   56   56   56   16   36   76   96   96   26   26   36   66   36   36   97   27   97   67   77   47   7   47   87   37   87   77   7   57   47   47   37   27   17   7   38   68   78   8   28   98   78   58   98   8   88   8   58   58   58   38   99   89   59   39   99   29   59   89   89   29   9   79   49   59   29   59   19   39   9   9   99   69   39}
+
+do_execsql_test 1.9.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.10.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -3417,6 +3633,30 @@ do_execsql_test 1.10.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.10.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0.74.41.74.23   0.74.41.74.23.99   0.74.41.74.23.99.26   0.74.41.74.23.99.26.33   0.74.41.74.23.99.26.33.2   0.74.41.74.23.99.26.33.2.89   0.74.41.74.23.99.26.33.2.89.81   0.74.41.74.23.99.26.33.2.89.81.96   0.74.41.74.23.99.26.33.2.89.81.96.59   0.74.41.74.23.99.26.33.2.89.81.96.59.38   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30   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+
+do_execsql_test 1.10.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0.90.40.30.80   0.90.40.30.80.20   0.90.40.30.80.20.90   0.90.40.30.80.20.90.60   0.90.40.30.80.20.90.60.70   0.90.40.30.80.20.90.60.70.80   0.90.40.30.80.20.90.60.70.80.90   0.90.40.30.80.20.90.60.70.80.90.30   0.90.40.30.80.20.90.60.70.80.90.30.50   0.90.40.30.80.20.90.60.70.80.90.30.50.10   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   41.81.91.61.91   41.81.91.61.91.91   41.81.91.61.91.91.1   41.81.91.61.91.91.1.81   41.81.91.61.91.91.1.81.41   41.81.91.61.91.91.1.81.41.61   41.81.91.61.91.91.1.81.41.61.1   41.81.91.61.91.91.1.81.41.61.1.21   41.81.91.61.91.91.1.81.41.61.1.21.11   41.81.91.61.91.91.1.81.41.61.1.21.11.51   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   2.62.12.32.22   2.62.12.32.22.42   2.62.12.32.22.42.2   2.62.12.32.22.42.2.72   2.62.12.32.22.42.2.72.12   2.62.12.32.22.42.2.72.12.22   2.62.12.32.22.42.2.72.12.22.2   2.62.12.32.22.42.2.72.12.22.2.72   2.62.12.32.22.42.2.72.12.22.2.72.72   2.62.12.32.22.42.2.72.12.22.2.72.72.12   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   23.33.93.23.93   23.33.93.23.93.43   23.33.93.23.93.43.3   23.33.93.23.93.43.3.43   23.33.93.23.93.43.3.43.33   23.33.93.23.93.43.3.43.33.53   23.33.93.23.93.43.3.43.33.53.63   23.33.93.23.93.43.3.43.33.53.63.73   23.33.93.23.93.43.3.43.33.53.63.73.13   23.33.93.23.93.43.3.43.33.53.63.73.13.73   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   74.74.54.84.74   74.74.54.84.74.24   74.74.54.84.74.24.4   74.74.54.84.74.24.4.94   74.74.54.84.74.24.4.94.84   74.74.54.84.74.24.4.94.84.74   74.74.54.84.74.24.4.94.84.74.34   74.74.54.84.74.24.4.94.84.74.34.34   74.74.54.84.74.24.4.94.84.74.34.34.44   74.74.54.84.74.24.4.94.84.74.34.34.44.74   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   65.35.85.85.55   65.35.85.85.55.15   65.35.85.85.55.15.25   65.35.85.85.55.15.25.75   65.35.85.85.55.15.25.75.95   65.35.85.85.55.15.25.75.95.65   65.35.85.85.55.15.25.75.95.65.65   65.35.85.85.55.15.25.75.95.65.65.35   65.35.85.85.55.15.25.75.95.65.65.35.5   65.35.85.85.55.15.25.75.95.65.65.35.5.15   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   26.96.46.6.46   26.96.46.6.46.16   26.96.46.6.46.16.16   26.96.46.6.46.16.16.86   26.96.46.6.46.16.16.86.56   26.96.46.6.46.16.16.86.56.56   26.96.46.6.46.16.16.86.56.56.56   26.96.46.6.46.16.16.86.56.56.56.16   26.96.46.6.46.16.16.86.56.56.56.16.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   97.27.97.67.77   97.27.97.67.77.47   97.27.97.67.77.47.7   97.27.97.67.77.47.7.47   97.27.97.67.77.47.7.47.87   97.27.97.67.77.47.7.47.87.37   97.27.97.67.77.47.7.47.87.37.87   97.27.97.67.77.47.7.47.87.37.87.77   97.27.97.67.77.47.7.47.87.37.87.77.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   38.68.78.8.28   38.68.78.8.28.98   38.68.78.8.28.98.78   38.68.78.8.28.98.78.58   38.68.78.8.28.98.78.58.98   38.68.78.8.28.98.78.58.98.8   38.68.78.8.28.98.78.58.98.8.88   38.68.78.8.28.98.78.58.98.8.88.8   38.68.78.8.28.98.78.58.98.8.88.8.58   38.68.78.8.28.98.78.58.98.8.88.8.58.58   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   99.89.59.39.99   99.89.59.39.99.29   99.89.59.39.99.29.59   99.89.59.39.99.29.59.89   99.89.59.39.99.29.59.89.89   99.89.59.39.99.29.59.89.89.29   99.89.59.39.99.29.59.89.89.29.9   99.89.59.39.99.29.59.89.89.29.9.79   99.89.59.39.99.29.59.89.89.29.9.79.49   99.89.59.39.99.29.59.89.89.29.9.79.49.59   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39}
+
+do_execsql_test 1.10.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0.1.1.2.2   0.1.1.2.2.2   0.1.1.2.2.2.3   0.1.1.2.2.2.3.3   0.1.1.2.2.2.3.3.4   0.1.1.2.2.2.3.3.4.5   0.1.1.2.2.2.3.3.4.5.6   0.1.1.2.2.2.3.3.4.5.6.7   0.1.1.2.2.2.3.3.4.5.6.7.7   0.1.1.2.2.2.3.3.4.5.6.7.7.7   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99}
+
+do_execsql_test 1.10.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0.10.20.30.30   0.10.20.30.30.30   0.10.20.30.30.30.40   0.10.20.30.30.30.40.50   0.10.20.30.30.30.40.50.60   0.10.20.30.30.30.40.50.60.70   0.10.20.30.30.30.40.50.60.70.80   0.10.20.30.30.30.40.50.60.70.80.80   0.10.20.30.30.30.40.50.60.70.80.80.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   1.1.11.11.21   1.1.11.11.21.21   1.1.11.11.21.21.31   1.1.11.11.21.21.31.31   1.1.11.11.21.21.31.31.41   1.1.11.11.21.21.31.31.41.41   1.1.11.11.21.21.31.31.41.41.41   1.1.11.11.21.21.31.31.41.41.41.51   1.1.11.11.21.21.31.31.41.41.41.51.61   1.1.11.11.21.21.31.31.41.41.41.51.61.61   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   2.2.2.12.12   2.2.2.12.12.12   2.2.2.12.12.12.22   2.2.2.12.12.12.22.22   2.2.2.12.12.12.22.22.32   2.2.2.12.12.12.22.22.32.42   2.2.2.12.12.12.22.22.32.42.52   2.2.2.12.12.12.22.22.32.42.52.62   2.2.2.12.12.12.22.22.32.42.52.62.62   2.2.2.12.12.12.22.22.32.42.52.62.62.72   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   3.3.13.13.23   3.3.13.13.23.23   3.3.13.13.23.23.23   3.3.13.13.23.23.23.33   3.3.13.13.23.23.23.33.33   3.3.13.13.23.23.23.33.33.33   3.3.13.13.23.23.23.33.33.33.33   3.3.13.13.23.23.23.33.33.33.33.33   3.3.13.13.23.23.23.33.33.33.33.33.43   3.3.13.13.23.23.23.33.33.33.33.33.43.43   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   4.14.24.34.34   4.14.24.34.34.34   4.14.24.34.34.34.34   4.14.24.34.34.34.34.44   4.14.24.34.34.34.34.44.44   4.14.24.34.34.34.34.44.44.54   4.14.24.34.34.34.34.44.44.54.64   4.14.24.34.34.34.34.44.44.54.64.74   4.14.24.34.34.34.34.44.44.54.64.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   5.15.15.15.25   5.15.15.15.25.35   5.15.15.15.25.35.35   5.15.15.15.25.35.35.55   5.15.15.15.25.35.35.55.55   5.15.15.15.25.35.35.55.55.65   5.15.15.15.25.35.35.55.55.65.65   5.15.15.15.25.35.35.55.55.65.65.65   5.15.15.15.25.35.35.55.55.65.65.65.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   6.16.16.16.26   6.16.16.16.26.26   6.16.16.16.26.26.26   6.16.16.16.26.26.26.36   6.16.16.16.26.26.26.36.36   6.16.16.16.26.26.26.36.36.36   6.16.16.16.26.26.26.36.36.36.36   6.16.16.16.26.26.26.36.36.36.36.46   6.16.16.16.26.26.26.36.36.36.36.46.46   6.16.16.16.26.26.26.36.36.36.36.46.46.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   7.7.7.17.27   7.7.7.17.27.27   7.7.7.17.27.27.37   7.7.7.17.27.27.37.37   7.7.7.17.27.27.37.37.47   7.7.7.17.27.27.37.37.47.47   7.7.7.17.27.27.37.37.47.47.47   7.7.7.17.27.27.37.37.47.47.47.47   7.7.7.17.27.27.37.37.47.47.47.47.57   7.7.7.17.27.27.37.37.47.47.47.47.57.67   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   8.8.8.28.38   8.8.8.28.38.38   8.8.8.28.38.38.58   8.8.8.28.38.38.58.58   8.8.8.28.38.38.58.58.58   8.8.8.28.38.38.58.58.58.58   8.8.8.28.38.38.58.58.58.58.68   8.8.8.28.38.38.58.58.58.58.68.78   8.8.8.28.38.38.58.58.58.58.68.78.78   8.8.8.28.38.38.58.58.58.58.68.78.78.88   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   9.9.9.19.29   9.9.9.19.29.29   9.9.9.19.29.29.29   9.9.9.19.29.29.29.39   9.9.9.19.29.29.29.39.39   9.9.9.19.29.29.29.39.39.39   9.9.9.19.29.29.29.39.39.39.49   9.9.9.19.29.29.29.39.39.39.49.59   9.9.9.19.29.29.29.39.39.39.49.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99}
+
+do_execsql_test 1.10.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {0.90.40.30.80   0.90.40.30.80.20   0.90.40.30.80.20.90   0.90.40.30.80.20.90.60   0.90.40.30.80.20.90.60.70   0.90.40.30.80.20.90.60.70.80   0.90.40.30.80.20.90.60.70.80.90   0.90.40.30.80.20.90.60.70.80.90.30   0.90.40.30.80.20.90.60.70.80.90.30.50   0.90.40.30.80.20.90.60.70.80.90.30.50.10   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42   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0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39}
+
+do_execsql_test 1.10.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {74   74   74   99   99   99   99   99   99   99   96   96   96   96   96   96   91   91   99   99   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   93   93   93   93   93   93   86   91   91   91   91   91   91   91   85   85   85   91   91   91   91   91   91   91   90   90   89   89   89   89   56   56   75   75   89   98   98   98   98   98   98   98   94   94   94   94   78   78   87   87   87   87   87   87   87   84   84   95   95   95   95   96   98   98   98   98   98   98   98   74   74   74   87   87   87   87   87   87   87   41   95   95   95   95   95   95   95   88   88   88   90   90   96   96   96   96   96   96   96   77   85   85   85   85   85   85   85   74   74   70   70   80   90   90   90   90   90   90   90   72   72   93   93   93   93   93   93   93   81   81   81   62   91   91   91   91   91   91   91   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   58   58   83   83   83   83   83   83   83}
@@ -3753,6 +3993,30 @@ do_execsql_test 1.11.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.11.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0.74.41   0.74.41.74   0.74.41.74.23   0.74.41.74.23.99   0.74.41.74.23.99.26   74.41.74.23.99.26.33   41.74.23.99.26.33.2   74.23.99.26.33.2.89   23.99.26.33.2.89.81   99.26.33.2.89.81.96   26.33.2.89.81.96.59   33.2.89.81.96.59.38   2.89.81.96.59.38.68   89.81.96.59.38.68.39   81.96.59.38.68.39.62   96.59.38.68.39.62.91   59.38.68.39.62.91.46   38.68.39.62.91.46.6   68.39.62.91.46.6.99   39.62.91.46.6.99.97   62.91.46.6.99.97.27   91.46.6.99.97.27.46   46.6.99.97.27.46.78   6.99.97.27.46.78.54   99.97.27.46.78.54.97   97.27.46.78.54.97.8   27.46.78.54.97.8.67   46.78.54.97.8.67.29   78.54.97.8.67.29.93   54.97.8.67.29.93.84   97.8.67.29.93.84.77   8.67.29.93.84.77.23   67.29.93.84.77.23.16   29.93.84.77.23.16.16   93.84.77.23.16.16.93   84.77.23.16.16.93.65   77.23.16.16.93.65.35   23.16.16.93.65.35.47   16.16.93.65.35.47.7   16.93.65.35.47.7.86   93.65.35.47.7.86.74   65.35.47.7.86.74.61   35.47.7.86.74.61.91   47.7.86.74.61.91.85   7.86.74.61.91.85.24   86.74.61.91.85.24.85   74.61.91.85.24.85.43   61.91.85.24.85.43.59   91.85.24.85.43.59.12   85.24.85.43.59.12.32   24.85.43.59.12.32.56   85.43.59.12.32.56.3   43.59.12.32.56.3.91   59.12.32.56.3.91.22   12.32.56.3.91.22.90   32.56.3.91.22.90.55   56.3.91.22.90.55.15   3.91.22.90.55.15.28   91.22.90.55.15.28.89   22.90.55.15.28.89.25   90.55.15.28.89.25.47   55.15.28.89.25.47.1   15.28.89.25.47.1.56   28.89.25.47.1.56.40   89.25.47.1.56.40.43   25.47.1.56.40.43.56   47.1.56.40.43.56.16   1.56.40.43.56.16.75   56.40.43.56.16.75.36   40.43.56.16.75.36.89   43.56.16.75.36.89.98   56.16.75.36.89.98.76   16.75.36.89.98.76.81   75.36.89.98.76.81.4   36.89.98.76.81.4.94   89.98.76.81.4.94.42   98.76.81.4.94.42.30   76.81.4.94.42.30.78   81.4.94.42.30.78.33   4.94.42.30.78.33.29   94.42.30.78.33.29.53   42.30.78.33.29.53.63   30.78.33.29.53.63.2   78.33.29.53.63.2.87   33.29.53.63.2.87.37   29.53.63.2.87.37.80   53.63.2.87.37.80.84   63.2.87.37.80.84.72   2.87.37.80.84.72.41   87.37.80.84.72.41.9   37.80.84.72.41.9.61   80.84.72.41.9.61.73   84.72.41.9.61.73.95   72.41.9.61.73.95.65   41.9.61.73.95.65.13   9.61.73.95.65.13.58   61.73.95.65.13.58.96   73.95.65.13.58.96.98   95.65.13.58.96.98.1   65.13.58.96.98.1.21   13.58.96.98.1.21.74   58.96.98.1.21.74.65   96.98.1.21.74.65.35   98.1.21.74.65.35.5   1.21.74.65.35.5.73   21.74.65.35.5.73.11   74.65.35.5.73.11.51   65.35.5.73.11.51.87   35.5.73.11.51.87.41   5.73.11.51.87.41.12   73.11.51.87.41.12.8   11.51.87.41.12.8.20   51.87.41.12.8.20.31   87.41.12.8.20.31.31   41.12.8.20.31.31.15   12.8.20.31.31.15.95   8.20.31.31.15.95.22   20.31.31.15.95.22.73   31.31.15.95.22.73.79   31.15.95.22.73.79.88   15.95.22.73.79.88.34   95.22.73.79.88.34.8   22.73.79.88.34.8.11   73.79.88.34.8.11.49   79.88.34.8.11.49.34   88.34.8.11.49.34.90   34.8.11.49.34.90.59   8.11.49.34.90.59.96   11.49.34.90.59.96.60   49.34.90.59.96.60.55   34.90.59.96.60.55.75   90.59.96.60.55.75.77   59.96.60.55.75.77.44   96.60.55.75.77.44.2   60.55.75.77.44.2.7   55.75.77.44.2.7.85   75.77.44.2.7.85.57   77.44.2.7.85.57.74   44.2.7.85.57.74.29   2.7.85.57.74.29.70   7.85.57.74.29.70.59   85.57.74.29.70.59.19   57.74.29.70.59.19.39   74.29.70.59.19.39.26   29.70.59.19.39.26.26   70.59.19.39.26.26.47   59.19.39.26.26.47.80   19.39.26.26.47.80.90   39.26.26.47.80.90.36   26.26.47.80.90.36.58   26.47.80.90.36.58.47   47.80.90.36.58.47.9   80.90.36.58.47.9.72   90.36.58.47.9.72.72   36.58.47.9.72.72.66   58.47.9.72.72.66.33   47.9.72.72.66.33.93   9.72.72.66.33.93.75   72.72.66.33.93.75.64   72.66.33.93.75.64.81   66.33.93.75.64.81.9   33.93.75.64.81.9.23   93.75.64.81.9.23.37   75.64.81.9.23.37.13   64.81.9.23.37.13.12   81.9.23.37.13.12.14   9.23.37.13.12.14.62   23.37.13.12.14.62.91   37.13.12.14.62.91.36   13.12.14.62.91.36.91   12.14.62.91.36.91.33   14.62.91.36.91.33.15   62.91.36.91.33.15.34   91.36.91.33.15.34.36   36.91.33.15.34.36.99   91.33.15.34.36.99.3   33.15.34.36.99.3.95   15.34.36.99.3.95.69   34.36.99.3.95.69.58   36.99.3.95.69.58.52   99.3.95.69.58.52.30   3.95.69.58.52.30.50   95.69.58.52.30.50.84   69.58.52.30.50.84.10   58.52.30.50.84.10.84   52.30.50.84.10.84.33   30.50.84.10.84.33.21   50.84.10.84.33.21.39   84.10.84.33.21.39.44   10.84.33.21.39.44.58   84.33.21.39.44.58.30   33.21.39.44.58.30.38   21.39.44.58.30.38.34   39.44.58.30.38.34.83   44.58.30.38.34.83.27   58.30.38.34.83.27.82   30.38.34.83.27.82.17   38.34.83.27.82.17.7   34.83.27.82.17.7   83.27.82.17.7}
+
+do_execsql_test 1.11.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0.90.40   0.90.40.30   0.90.40.30.80   0.90.40.30.80.20   0.90.40.30.80.20.90   90.40.30.80.20.90.60   40.30.80.20.90.60.70   30.80.20.90.60.70.80   80.20.90.60.70.80.90   20.90.60.70.80.90.30   90.60.70.80.90.30.50   60.70.80.90.30.50.10   70.80.90.30.50.10.30   80.90.30.50.10.30   90.30.50.10.30   41.81.91   41.81.91.61   41.81.91.61.91   41.81.91.61.91.91   41.81.91.61.91.91.1   81.91.61.91.91.1.81   91.61.91.91.1.81.41   61.91.91.1.81.41.61   91.91.1.81.41.61.1   91.1.81.41.61.1.21   1.81.41.61.1.21.11   81.41.61.1.21.11.51   41.61.1.21.11.51.41   61.1.21.11.51.41.31   1.21.11.51.41.31.31   21.11.51.41.31.31.11   11.51.41.31.31.11.81   51.41.31.31.11.81.91   41.31.31.11.81.91.91   31.31.11.81.91.91.21   31.11.81.91.91.21   11.81.91.91.21   2.62.12   2.62.12.32   2.62.12.32.22   2.62.12.32.22.42   2.62.12.32.22.42.2   62.12.32.22.42.2.72   12.32.22.42.2.72.12   32.22.42.2.72.12.22   22.42.2.72.12.22.2   42.2.72.12.22.2.72   2.72.12.22.2.72.72   72.12.22.2.72.72.12   12.22.2.72.72.12.62   22.2.72.72.12.62.52   2.72.72.12.62.52.82   72.72.12.62.52.82   72.12.62.52.82   23.33.93   23.33.93.23   23.33.93.23.93   23.33.93.23.93.43   23.33.93.23.93.43.3   33.93.23.93.43.3.43   93.23.93.43.3.43.33   23.93.43.3.43.33.53   93.43.3.43.33.53.63   43.3.43.33.53.63.73   3.43.33.53.63.73.13   43.33.53.63.73.13.73   33.53.63.73.13.73.73   53.63.73.13.73.73.33   63.73.13.73.73.33.93   73.13.73.73.33.93.23   13.73.73.33.93.23.13   73.73.33.93.23.13.33   73.33.93.23.13.33.3   33.93.23.13.33.3.33   93.23.13.33.3.33.83   23.13.33.3.33.83   13.33.3.33.83   74.74.54   74.74.54.84   74.74.54.84.74   74.74.54.84.74.24   74.74.54.84.74.24.4   74.54.84.74.24.4.94   54.84.74.24.4.94.84   84.74.24.4.94.84.74   74.24.4.94.84.74.34   24.4.94.84.74.34.34   4.94.84.74.34.34.44   94.84.74.34.34.44.74   84.74.34.34.44.74.64   74.34.34.44.74.64.14   34.34.44.74.64.14.34   34.44.74.64.14.34.84   44.74.64.14.34.84.84   74.64.14.34.84.84.44   64.14.34.84.84.44.34   14.34.84.84.44.34   34.84.84.44.34   65.35.85   65.35.85.85   65.35.85.85.55   65.35.85.85.55.15   65.35.85.85.55.15.25   35.85.85.55.15.25.75   85.85.55.15.25.75.95   85.55.15.25.75.95.65   55.15.25.75.95.65.65   15.25.75.95.65.65.35   25.75.95.65.65.35.5   75.95.65.65.35.5.15   95.65.65.35.5.15.95   65.65.35.5.15.95.55   65.35.5.15.95.55.75   35.5.15.95.55.75.85   5.15.95.55.75.85.75   15.95.55.75.85.75.15   95.55.75.85.75.15.95   55.75.85.75.15.95   75.85.75.15.95   26.96.46   26.96.46.6   26.96.46.6.46   26.96.46.6.46.16   26.96.46.6.46.16.16   96.46.6.46.16.16.86   46.6.46.16.16.86.56   6.46.16.16.86.56.56   46.16.16.86.56.56.56   16.16.86.56.56.56.16   16.86.56.56.56.16.36   86.56.56.56.16.36.76   56.56.56.16.36.76.96   56.56.16.36.76.96.96   56.16.36.76.96.96.26   16.36.76.96.96.26.26   36.76.96.96.26.26.36   76.96.96.26.26.36.66   96.96.26.26.36.66.36   96.26.26.36.66.36.36   26.26.36.66.36.36   26.36.66.36.36   97.27.97   97.27.97.67   97.27.97.67.77   97.27.97.67.77.47   97.27.97.67.77.47.7   27.97.67.77.47.7.47   97.67.77.47.7.47.87   67.77.47.7.47.87.37   77.47.7.47.87.37.87   47.7.47.87.37.87.77   7.47.87.37.87.77.7   47.87.37.87.77.7.57   87.37.87.77.7.57.47   37.87.77.7.57.47.47   87.77.7.57.47.47.37   77.7.57.47.47.37.27   7.57.47.47.37.27.17   57.47.47.37.27.17.7   47.47.37.27.17.7   47.37.27.17.7   38.68.78   38.68.78.8   38.68.78.8.28   38.68.78.8.28.98   38.68.78.8.28.98.78   68.78.8.28.98.78.58   78.8.28.98.78.58.98   8.28.98.78.58.98.8   28.98.78.58.98.8.88   98.78.58.98.8.88.8   78.58.98.8.88.8.58   58.98.8.88.8.58.58   98.8.88.8.58.58.58   8.88.8.58.58.58.38   88.8.58.58.58.38   8.58.58.58.38   99.89.59   99.89.59.39   99.89.59.39.99   99.89.59.39.99.29   99.89.59.39.99.29.59   89.59.39.99.29.59.89   59.39.99.29.59.89.89   39.99.29.59.89.89.29   99.29.59.89.89.29.9   29.59.89.89.29.9.79   59.89.89.29.9.79.49   89.89.29.9.79.49.59   89.29.9.79.49.59.29   29.9.79.49.59.29.59   9.79.49.59.29.59.19   79.49.59.29.59.19.39   49.59.29.59.19.39.9   59.29.59.19.39.9.9   29.59.19.39.9.9.99   59.19.39.9.9.99.69   19.39.9.9.99.69.39   39.9.9.99.69.39   9.9.99.69.39}
+
+do_execsql_test 1.11.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0.1.1   0.1.1.2   0.1.1.2.2   0.1.1.2.2.2   0.1.1.2.2.2.3   1.1.2.2.2.3.3   1.2.2.2.3.3.4   2.2.2.3.3.4.5   2.2.3.3.4.5.6   2.3.3.4.5.6.7   3.3.4.5.6.7.7   3.4.5.6.7.7.7   4.5.6.7.7.7.8   5.6.7.7.7.8.8   6.7.7.7.8.8.8   7.7.7.8.8.8.9   7.7.8.8.8.9.9   7.8.8.8.9.9.9   8.8.8.9.9.9.10   8.8.9.9.9.10.11   8.9.9.9.10.11.11   9.9.9.10.11.11.12   9.9.10.11.11.12.12   9.10.11.11.12.12.12   10.11.11.12.12.12.13   11.11.12.12.12.13.13   11.12.12.12.13.13.14   12.12.12.13.13.14.15   12.12.13.13.14.15.15   12.13.13.14.15.15.15   13.13.14.15.15.15.16   13.14.15.15.15.16.16   14.15.15.15.16.16.16   15.15.15.16.16.16.17   15.15.16.16.16.17.19   15.16.16.16.17.19.20   16.16.16.17.19.20.21   16.16.17.19.20.21.21   16.17.19.20.21.21.22   17.19.20.21.21.22.22   19.20.21.21.22.22.23   20.21.21.22.22.23.23   21.21.22.22.23.23.23   21.22.22.23.23.23.24   22.22.23.23.23.24.25   22.23.23.23.24.25.26   23.23.23.24.25.26.26   23.23.24.25.26.26.26   23.24.25.26.26.26.27   24.25.26.26.26.27.27   25.26.26.26.27.27.28   26.26.26.27.27.28.29   26.26.27.27.28.29.29   26.27.27.28.29.29.29   27.27.28.29.29.29.30   27.28.29.29.29.30.30   28.29.29.29.30.30.30   29.29.29.30.30.30.31   29.29.30.30.30.31.31   29.30.30.30.31.31.32   30.30.30.31.31.32.33   30.30.31.31.32.33.33   30.31.31.32.33.33.33   31.31.32.33.33.33.33   31.32.33.33.33.33.33   32.33.33.33.33.33.34   33.33.33.33.33.34.34   33.33.33.33.34.34.34   33.33.33.34.34.34.34   33.33.34.34.34.34.35   33.34.34.34.34.35.35   34.34.34.34.35.35.36   34.34.34.35.35.36.36   34.34.35.35.36.36.36   34.35.35.36.36.36.36   35.35.36.36.36.36.37   35.36.36.36.36.37.37   36.36.36.36.37.37.38   36.36.36.37.37.38.38   36.36.37.37.38.38.39   36.37.37.38.38.39.39   37.37.38.38.39.39.39   37.38.38.39.39.39.40   38.38.39.39.39.40.41   38.39.39.39.40.41.41   39.39.39.40.41.41.41   39.39.40.41.41.41.42   39.40.41.41.41.42.43   40.41.41.41.42.43.43   41.41.41.42.43.43.44   41.41.42.43.43.44.44   41.42.43.43.44.44.46   42.43.43.44.44.46.46   43.43.44.44.46.46.47   43.44.44.46.46.47.47   44.44.46.46.47.47.47   44.46.46.47.47.47.47   46.46.47.47.47.47.49   46.47.47.47.47.49.50   47.47.47.47.49.50.51   47.47.47.49.50.51.52   47.47.49.50.51.52.53   47.49.50.51.52.53.54   49.50.51.52.53.54.55   50.51.52.53.54.55.55   51.52.53.54.55.55.56   52.53.54.55.55.56.56   53.54.55.55.56.56.56   54.55.55.56.56.56.57   55.55.56.56.56.57.58   55.56.56.56.57.58.58   56.56.56.57.58.58.58   56.56.57.58.58.58.58   56.57.58.58.58.58.59   57.58.58.58.58.59.59   58.58.58.58.59.59.59   58.58.58.59.59.59.59   58.58.59.59.59.59.60   58.59.59.59.59.60.61   59.59.59.59.60.61.61   59.59.59.60.61.61.62   59.59.60.61.61.62.62   59.60.61.61.62.62.63   60.61.61.62.62.63.64   61.61.62.62.63.64.65   61.62.62.63.64.65.65   62.62.63.64.65.65.65   62.63.64.65.65.65.66   63.64.65.65.65.66.67   64.65.65.65.66.67.68   65.65.65.66.67.68.69   65.65.66.67.68.69.70   65.66.67.68.69.70.72   66.67.68.69.70.72.72   67.68.69.70.72.72.72   68.69.70.72.72.72.73   69.70.72.72.72.73.73   70.72.72.72.73.73.73   72.72.72.73.73.73.74   72.72.73.73.73.74.74   72.73.73.73.74.74.74   73.73.73.74.74.74.74   73.73.74.74.74.74.74   73.74.74.74.74.74.75   74.74.74.74.74.75.75   74.74.74.74.75.75.75   74.74.74.75.75.75.76   74.74.75.75.75.76.77   74.75.75.75.76.77.77   75.75.75.76.77.77.78   75.75.76.77.77.78.78   75.76.77.77.78.78.79   76.77.77.78.78.79.80   77.77.78.78.79.80.80   77.78.78.79.80.80.81   78.78.79.80.80.81.81   78.79.80.80.81.81.81   79.80.80.81.81.81.82   80.80.81.81.81.82.83   80.81.81.81.82.83.84   81.81.81.82.83.84.84   81.81.82.83.84.84.84   81.82.83.84.84.84.84   82.83.84.84.84.84.85   83.84.84.84.84.85.85   84.84.84.84.85.85.85   84.84.84.85.85.85.86   84.84.85.85.85.86.87   84.85.85.85.86.87.87   85.85.85.86.87.87.88   85.85.86.87.87.88.89   85.86.87.87.88.89.89   86.87.87.88.89.89.89   87.87.88.89.89.89.90   87.88.89.89.89.90.90   88.89.89.89.90.90.90   89.89.89.90.90.90.91   89.89.90.90.90.91.91   89.90.90.90.91.91.91   90.90.90.91.91.91.91   90.90.91.91.91.91.91   90.91.91.91.91.91.93   91.91.91.91.91.93.93   91.91.91.91.93.93.93   91.91.91.93.93.93.94   91.91.93.93.93.94.95   91.93.93.93.94.95.95   93.93.93.94.95.95.95   93.93.94.95.95.95.96   93.94.95.95.95.96.96   94.95.95.95.96.96.96   95.95.95.96.96.96.97   95.95.96.96.96.97.97   95.96.96.96.97.97.98   96.96.96.97.97.98.98   96.96.97.97.98.98.99   96.97.97.98.98.99.99   97.97.98.98.99.99.99   97.98.98.99.99.99   98.98.99.99.99}
+
+do_execsql_test 1.11.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0.10.20   0.10.20.30   0.10.20.30.30   0.10.20.30.30.30   0.10.20.30.30.30.40   10.20.30.30.30.40.50   20.30.30.30.40.50.60   30.30.30.40.50.60.70   30.30.40.50.60.70.80   30.40.50.60.70.80.80   40.50.60.70.80.80.90   50.60.70.80.80.90.90   60.70.80.80.90.90.90   70.80.80.90.90.90   80.80.90.90.90   1.1.11   1.1.11.11   1.1.11.11.21   1.1.11.11.21.21   1.1.11.11.21.21.31   1.11.11.21.21.31.31   11.11.21.21.31.31.41   11.21.21.31.31.41.41   21.21.31.31.41.41.41   21.31.31.41.41.41.51   31.31.41.41.41.51.61   31.41.41.41.51.61.61   41.41.41.51.61.61.81   41.41.51.61.61.81.81   41.51.61.61.81.81.81   51.61.61.81.81.81.91   61.61.81.81.81.91.91   61.81.81.81.91.91.91   81.81.81.91.91.91.91   81.81.91.91.91.91.91   81.91.91.91.91.91   91.91.91.91.91   2.2.2   2.2.2.12   2.2.2.12.12   2.2.2.12.12.12   2.2.2.12.12.12.22   2.2.12.12.12.22.22   2.12.12.12.22.22.32   12.12.12.22.22.32.42   12.12.22.22.32.42.52   12.22.22.32.42.52.62   22.22.32.42.52.62.62   22.32.42.52.62.62.72   32.42.52.62.62.72.72   42.52.62.62.72.72.72   52.62.62.72.72.72.82   62.62.72.72.72.82   62.72.72.72.82   3.3.13   3.3.13.13   3.3.13.13.23   3.3.13.13.23.23   3.3.13.13.23.23.23   3.13.13.23.23.23.33   13.13.23.23.23.33.33   13.23.23.23.33.33.33   23.23.23.33.33.33.33   23.23.33.33.33.33.33   23.33.33.33.33.33.43   33.33.33.33.33.43.43   33.33.33.33.43.43.53   33.33.33.43.43.53.63   33.33.43.43.53.63.73   33.43.43.53.63.73.73   43.43.53.63.73.73.73   43.53.63.73.73.73.83   53.63.73.73.73.83.93   63.73.73.73.83.93.93   73.73.73.83.93.93.93   73.73.83.93.93.93   73.83.93.93.93   4.14.24   4.14.24.34   4.14.24.34.34   4.14.24.34.34.34   4.14.24.34.34.34.34   14.24.34.34.34.34.44   24.34.34.34.34.44.44   34.34.34.34.44.44.54   34.34.34.44.44.54.64   34.34.44.44.54.64.74   34.44.44.54.64.74.74   44.44.54.64.74.74.74   44.54.64.74.74.74.74   54.64.74.74.74.74.74   64.74.74.74.74.74.84   74.74.74.74.74.84.84   74.74.74.74.84.84.84   74.74.74.84.84.84.84   74.74.84.84.84.84.94   74.84.84.84.84.94   84.84.84.84.94   5.15.15   5.15.15.15   5.15.15.15.25   5.15.15.15.25.35   5.15.15.15.25.35.35   15.15.15.25.35.35.55   15.15.25.35.35.55.55   15.25.35.35.55.55.65   25.35.35.55.55.65.65   35.35.55.55.65.65.65   35.55.55.65.65.65.75   55.55.65.65.65.75.75   55.65.65.65.75.75.75   65.65.65.75.75.75.85   65.65.75.75.75.85.85   65.75.75.75.85.85.85   75.75.75.85.85.85.95   75.75.85.85.85.95.95   75.85.85.85.95.95.95   85.85.85.95.95.95   85.85.95.95.95   6.16.16   6.16.16.16   6.16.16.16.26   6.16.16.16.26.26   6.16.16.16.26.26.26   16.16.16.26.26.26.36   16.16.26.26.26.36.36   16.26.26.26.36.36.36   26.26.26.36.36.36.36   26.26.36.36.36.36.46   26.36.36.36.36.46.46   36.36.36.36.46.46.56   36.36.36.46.46.56.56   36.36.46.46.56.56.56   36.46.46.56.56.56.66   46.46.56.56.56.66.76   46.56.56.56.66.76.86   56.56.56.66.76.86.96   56.56.66.76.86.96.96   56.66.76.86.96.96.96   66.76.86.96.96.96   76.86.96.96.96   7.7.7   7.7.7.17   7.7.7.17.27   7.7.7.17.27.27   7.7.7.17.27.27.37   7.7.17.27.27.37.37   7.17.27.27.37.37.47   17.27.27.37.37.47.47   27.27.37.37.47.47.47   27.37.37.47.47.47.47   37.37.47.47.47.47.57   37.47.47.47.47.57.67   47.47.47.47.57.67.77   47.47.47.57.67.77.77   47.47.57.67.77.77.87   47.57.67.77.77.87.87   57.67.77.77.87.87.97   67.77.77.87.87.97.97   77.77.87.87.97.97   77.87.87.97.97   8.8.8   8.8.8.28   8.8.8.28.38   8.8.8.28.38.38   8.8.8.28.38.38.58   8.8.28.38.38.58.58   8.28.38.38.58.58.58   28.38.38.58.58.58.58   38.38.58.58.58.58.68   38.58.58.58.58.68.78   58.58.58.58.68.78.78   58.58.58.68.78.78.88   58.58.68.78.78.88.98   58.68.78.78.88.98.98   68.78.78.88.98.98   78.78.88.98.98   9.9.9   9.9.9.19   9.9.9.19.29   9.9.9.19.29.29   9.9.9.19.29.29.29   9.9.19.29.29.29.39   9.19.29.29.29.39.39   19.29.29.29.39.39.39   29.29.29.39.39.39.49   29.29.39.39.39.49.59   29.39.39.39.49.59.59   39.39.39.49.59.59.59   39.39.49.59.59.59.59   39.49.59.59.59.59.69   49.59.59.59.59.69.79   59.59.59.59.69.79.89   59.59.59.69.79.89.89   59.59.69.79.89.89.89   59.69.79.89.89.89.99   69.79.89.89.89.99.99   79.89.89.89.99.99.99   89.89.89.99.99.99   89.89.99.99.99}
+
+do_execsql_test 1.11.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {0.90.40   0.90.40.30   0.90.40.30.80   0.90.40.30.80.20   0.90.40.30.80.20.90   90.40.30.80.20.90.60   40.30.80.20.90.60.70   30.80.20.90.60.70.80   80.20.90.60.70.80.90   20.90.60.70.80.90.30   90.60.70.80.90.30.50   60.70.80.90.30.50.10   70.80.90.30.50.10.30   80.90.30.50.10.30.41   90.30.50.10.30.41.81   30.50.10.30.41.81.91   50.10.30.41.81.91.61   10.30.41.81.91.61.91   30.41.81.91.61.91.91   41.81.91.61.91.91.1   81.91.61.91.91.1.81   91.61.91.91.1.81.41   61.91.91.1.81.41.61   91.91.1.81.41.61.1   91.1.81.41.61.1.21   1.81.41.61.1.21.11   81.41.61.1.21.11.51   41.61.1.21.11.51.41   61.1.21.11.51.41.31   1.21.11.51.41.31.31   21.11.51.41.31.31.11   11.51.41.31.31.11.81   51.41.31.31.11.81.91   41.31.31.11.81.91.91   31.31.11.81.91.91.21   31.11.81.91.91.21.2   11.81.91.91.21.2.62   81.91.91.21.2.62.12   91.91.21.2.62.12.32   91.21.2.62.12.32.22   21.2.62.12.32.22.42   2.62.12.32.22.42.2   62.12.32.22.42.2.72   12.32.22.42.2.72.12   32.22.42.2.72.12.22   22.42.2.72.12.22.2   42.2.72.12.22.2.72   2.72.12.22.2.72.72   72.12.22.2.72.72.12   12.22.2.72.72.12.62   22.2.72.72.12.62.52   2.72.72.12.62.52.82   72.72.12.62.52.82.23   72.12.62.52.82.23.33   12.62.52.82.23.33.93   62.52.82.23.33.93.23   52.82.23.33.93.23.93   82.23.33.93.23.93.43   23.33.93.23.93.43.3   33.93.23.93.43.3.43   93.23.93.43.3.43.33   23.93.43.3.43.33.53   93.43.3.43.33.53.63   43.3.43.33.53.63.73   3.43.33.53.63.73.13   43.33.53.63.73.13.73   33.53.63.73.13.73.73   53.63.73.13.73.73.33   63.73.13.73.73.33.93   73.13.73.73.33.93.23   13.73.73.33.93.23.13   73.73.33.93.23.13.33   73.33.93.23.13.33.3   33.93.23.13.33.3.33   93.23.13.33.3.33.83   23.13.33.3.33.83.74   13.33.3.33.83.74.74   33.3.33.83.74.74.54   3.33.83.74.74.54.84   33.83.74.74.54.84.74   83.74.74.54.84.74.24   74.74.54.84.74.24.4   74.54.84.74.24.4.94   54.84.74.24.4.94.84   84.74.24.4.94.84.74   74.24.4.94.84.74.34   24.4.94.84.74.34.34   4.94.84.74.34.34.44   94.84.74.34.34.44.74   84.74.34.34.44.74.64   74.34.34.44.74.64.14   34.34.44.74.64.14.34   34.44.74.64.14.34.84   44.74.64.14.34.84.84   74.64.14.34.84.84.44   64.14.34.84.84.44.34   14.34.84.84.44.34.65   34.84.84.44.34.65.35   84.84.44.34.65.35.85   84.44.34.65.35.85.85   44.34.65.35.85.85.55   34.65.35.85.85.55.15   65.35.85.85.55.15.25   35.85.85.55.15.25.75   85.85.55.15.25.75.95   85.55.15.25.75.95.65   55.15.25.75.95.65.65   15.25.75.95.65.65.35   25.75.95.65.65.35.5   75.95.65.65.35.5.15   95.65.65.35.5.15.95   65.65.35.5.15.95.55   65.35.5.15.95.55.75   35.5.15.95.55.75.85   5.15.95.55.75.85.75   15.95.55.75.85.75.15   95.55.75.85.75.15.95   55.75.85.75.15.95.26   75.85.75.15.95.26.96   85.75.15.95.26.96.46   75.15.95.26.96.46.6   15.95.26.96.46.6.46   95.26.96.46.6.46.16   26.96.46.6.46.16.16   96.46.6.46.16.16.86   46.6.46.16.16.86.56   6.46.16.16.86.56.56   46.16.16.86.56.56.56   16.16.86.56.56.56.16   16.86.56.56.56.16.36   86.56.56.56.16.36.76   56.56.56.16.36.76.96   56.56.16.36.76.96.96   56.16.36.76.96.96.26   16.36.76.96.96.26.26   36.76.96.96.26.26.36   76.96.96.26.26.36.66   96.96.26.26.36.66.36   96.26.26.36.66.36.36   26.26.36.66.36.36.97   26.36.66.36.36.97.27   36.66.36.36.97.27.97   66.36.36.97.27.97.67   36.36.97.27.97.67.77   36.97.27.97.67.77.47   97.27.97.67.77.47.7   27.97.67.77.47.7.47   97.67.77.47.7.47.87   67.77.47.7.47.87.37   77.47.7.47.87.37.87   47.7.47.87.37.87.77   7.47.87.37.87.77.7   47.87.37.87.77.7.57   87.37.87.77.7.57.47   37.87.77.7.57.47.47   87.77.7.57.47.47.37   77.7.57.47.47.37.27   7.57.47.47.37.27.17   57.47.47.37.27.17.7   47.47.37.27.17.7.38   47.37.27.17.7.38.68   37.27.17.7.38.68.78   27.17.7.38.68.78.8   17.7.38.68.78.8.28   7.38.68.78.8.28.98   38.68.78.8.28.98.78   68.78.8.28.98.78.58   78.8.28.98.78.58.98   8.28.98.78.58.98.8   28.98.78.58.98.8.88   98.78.58.98.8.88.8   78.58.98.8.88.8.58   58.98.8.88.8.58.58   98.8.88.8.58.58.58   8.88.8.58.58.58.38   88.8.58.58.58.38.99   8.58.58.58.38.99.89   58.58.58.38.99.89.59   58.58.38.99.89.59.39   58.38.99.89.59.39.99   38.99.89.59.39.99.29   99.89.59.39.99.29.59   89.59.39.99.29.59.89   59.39.99.29.59.89.89   39.99.29.59.89.89.29   99.29.59.89.89.29.9   29.59.89.89.29.9.79   59.89.89.29.9.79.49   89.89.29.9.79.49.59   89.29.9.79.49.59.29   29.9.79.49.59.29.59   9.79.49.59.29.59.19   79.49.59.29.59.19.39   49.59.29.59.19.39.9   59.29.59.19.39.9.9   29.59.19.39.9.9.99   59.19.39.9.9.99.69   19.39.9.9.99.69.39   39.9.9.99.69.39   9.9.99.69.39}
+
+do_execsql_test 1.11.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83   82   82   17   7}
@@ -4089,6 +4353,30 @@ do_execsql_test 1.12.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.12.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0.74.41.74.23   74.41.74.23.99   41.74.23.99.26   74.23.99.26.33   23.99.26.33.2   99.26.33.2.89   26.33.2.89.81   33.2.89.81.96   2.89.81.96.59   89.81.96.59.38   81.96.59.38.68   96.59.38.68.39   59.38.68.39.62   38.68.39.62.91   68.39.62.91.46   39.62.91.46.6   62.91.46.6.99   91.46.6.99.97   46.6.99.97.27   6.99.97.27.46   99.97.27.46.78   97.27.46.78.54   27.46.78.54.97   46.78.54.97.8   78.54.97.8.67   54.97.8.67.29   97.8.67.29.93   8.67.29.93.84   67.29.93.84.77   29.93.84.77.23   93.84.77.23.16   84.77.23.16.16   77.23.16.16.93   23.16.16.93.65   16.16.93.65.35   16.93.65.35.47   93.65.35.47.7   65.35.47.7.86   35.47.7.86.74   47.7.86.74.61   7.86.74.61.91   86.74.61.91.85   74.61.91.85.24   61.91.85.24.85   91.85.24.85.43   85.24.85.43.59   24.85.43.59.12   85.43.59.12.32   43.59.12.32.56   59.12.32.56.3   12.32.56.3.91   32.56.3.91.22   56.3.91.22.90   3.91.22.90.55   91.22.90.55.15   22.90.55.15.28   90.55.15.28.89   55.15.28.89.25   15.28.89.25.47   28.89.25.47.1   89.25.47.1.56   25.47.1.56.40   47.1.56.40.43   1.56.40.43.56   56.40.43.56.16   40.43.56.16.75   43.56.16.75.36   56.16.75.36.89   16.75.36.89.98   75.36.89.98.76   36.89.98.76.81   89.98.76.81.4   98.76.81.4.94   76.81.4.94.42   81.4.94.42.30   4.94.42.30.78   94.42.30.78.33   42.30.78.33.29   30.78.33.29.53   78.33.29.53.63   33.29.53.63.2   29.53.63.2.87   53.63.2.87.37   63.2.87.37.80   2.87.37.80.84   87.37.80.84.72   37.80.84.72.41   80.84.72.41.9   84.72.41.9.61   72.41.9.61.73   41.9.61.73.95   9.61.73.95.65   61.73.95.65.13   73.95.65.13.58   95.65.13.58.96   65.13.58.96.98   13.58.96.98.1   58.96.98.1.21   96.98.1.21.74   98.1.21.74.65   1.21.74.65.35   21.74.65.35.5   74.65.35.5.73   65.35.5.73.11   35.5.73.11.51   5.73.11.51.87   73.11.51.87.41   11.51.87.41.12   51.87.41.12.8   87.41.12.8.20   41.12.8.20.31   12.8.20.31.31   8.20.31.31.15   20.31.31.15.95   31.31.15.95.22   31.15.95.22.73   15.95.22.73.79   95.22.73.79.88   22.73.79.88.34   73.79.88.34.8   79.88.34.8.11   88.34.8.11.49   34.8.11.49.34   8.11.49.34.90   11.49.34.90.59   49.34.90.59.96   34.90.59.96.60   90.59.96.60.55   59.96.60.55.75   96.60.55.75.77   60.55.75.77.44   55.75.77.44.2   75.77.44.2.7   77.44.2.7.85   44.2.7.85.57   2.7.85.57.74   7.85.57.74.29   85.57.74.29.70   57.74.29.70.59   74.29.70.59.19   29.70.59.19.39   70.59.19.39.26   59.19.39.26.26   19.39.26.26.47   39.26.26.47.80   26.26.47.80.90   26.47.80.90.36   47.80.90.36.58   80.90.36.58.47   90.36.58.47.9   36.58.47.9.72   58.47.9.72.72   47.9.72.72.66   9.72.72.66.33   72.72.66.33.93   72.66.33.93.75   66.33.93.75.64   33.93.75.64.81   93.75.64.81.9   75.64.81.9.23   64.81.9.23.37   81.9.23.37.13   9.23.37.13.12   23.37.13.12.14   37.13.12.14.62   13.12.14.62.91   12.14.62.91.36   14.62.91.36.91   62.91.36.91.33   91.36.91.33.15   36.91.33.15.34   91.33.15.34.36   33.15.34.36.99   15.34.36.99.3   34.36.99.3.95   36.99.3.95.69   99.3.95.69.58   3.95.69.58.52   95.69.58.52.30   69.58.52.30.50   58.52.30.50.84   52.30.50.84.10   30.50.84.10.84   50.84.10.84.33   84.10.84.33.21   10.84.33.21.39   84.33.21.39.44   33.21.39.44.58   21.39.44.58.30   39.44.58.30.38   44.58.30.38.34   58.30.38.34.83   30.38.34.83.27   38.34.83.27.82   34.83.27.82.17   83.27.82.17.7   27.82.17.7   82.17.7   17.7   7}
+
+do_execsql_test 1.12.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0.90.40.30.80   90.40.30.80.20   40.30.80.20.90   30.80.20.90.60   80.20.90.60.70   20.90.60.70.80   90.60.70.80.90   60.70.80.90.30   70.80.90.30.50   80.90.30.50.10   90.30.50.10.30   30.50.10.30   50.10.30   10.30   30   41.81.91.61.91   81.91.61.91.91   91.61.91.91.1   61.91.91.1.81   91.91.1.81.41   91.1.81.41.61   1.81.41.61.1   81.41.61.1.21   41.61.1.21.11   61.1.21.11.51   1.21.11.51.41   21.11.51.41.31   11.51.41.31.31   51.41.31.31.11   41.31.31.11.81   31.31.11.81.91   31.11.81.91.91   11.81.91.91.21   81.91.91.21   91.91.21   91.21   21   2.62.12.32.22   62.12.32.22.42   12.32.22.42.2   32.22.42.2.72   22.42.2.72.12   42.2.72.12.22   2.72.12.22.2   72.12.22.2.72   12.22.2.72.72   22.2.72.72.12   2.72.72.12.62   72.72.12.62.52   72.12.62.52.82   12.62.52.82   62.52.82   52.82   82   23.33.93.23.93   33.93.23.93.43   93.23.93.43.3   23.93.43.3.43   93.43.3.43.33   43.3.43.33.53   3.43.33.53.63   43.33.53.63.73   33.53.63.73.13   53.63.73.13.73   63.73.13.73.73   73.13.73.73.33   13.73.73.33.93   73.73.33.93.23   73.33.93.23.13   33.93.23.13.33   93.23.13.33.3   23.13.33.3.33   13.33.3.33.83   33.3.33.83   3.33.83   33.83   83   74.74.54.84.74   74.54.84.74.24   54.84.74.24.4   84.74.24.4.94   74.24.4.94.84   24.4.94.84.74   4.94.84.74.34   94.84.74.34.34   84.74.34.34.44   74.34.34.44.74   34.34.44.74.64   34.44.74.64.14   44.74.64.14.34   74.64.14.34.84   64.14.34.84.84   14.34.84.84.44   34.84.84.44.34   84.84.44.34   84.44.34   44.34   34   65.35.85.85.55   35.85.85.55.15   85.85.55.15.25   85.55.15.25.75   55.15.25.75.95   15.25.75.95.65   25.75.95.65.65   75.95.65.65.35   95.65.65.35.5   65.65.35.5.15   65.35.5.15.95   35.5.15.95.55   5.15.95.55.75   15.95.55.75.85   95.55.75.85.75   55.75.85.75.15   75.85.75.15.95   85.75.15.95   75.15.95   15.95   95   26.96.46.6.46   96.46.6.46.16   46.6.46.16.16   6.46.16.16.86   46.16.16.86.56   16.16.86.56.56   16.86.56.56.56   86.56.56.56.16   56.56.56.16.36   56.56.16.36.76   56.16.36.76.96   16.36.76.96.96   36.76.96.96.26   76.96.96.26.26   96.96.26.26.36   96.26.26.36.66   26.26.36.66.36   26.36.66.36.36   36.66.36.36   66.36.36   36.36   36   97.27.97.67.77   27.97.67.77.47   97.67.77.47.7   67.77.47.7.47   77.47.7.47.87   47.7.47.87.37   7.47.87.37.87   47.87.37.87.77   87.37.87.77.7   37.87.77.7.57   87.77.7.57.47   77.7.57.47.47   7.57.47.47.37   57.47.47.37.27   47.47.37.27.17   47.37.27.17.7   37.27.17.7   27.17.7   17.7   7   38.68.78.8.28   68.78.8.28.98   78.8.28.98.78   8.28.98.78.58   28.98.78.58.98   98.78.58.98.8   78.58.98.8.88   58.98.8.88.8   98.8.88.8.58   8.88.8.58.58   88.8.58.58.58   8.58.58.58.38   58.58.58.38   58.58.38   58.38   38   99.89.59.39.99   89.59.39.99.29   59.39.99.29.59   39.99.29.59.89   99.29.59.89.89   29.59.89.89.29   59.89.89.29.9   89.89.29.9.79   89.29.9.79.49   29.9.79.49.59   9.79.49.59.29   79.49.59.29.59   49.59.29.59.19   59.29.59.19.39   29.59.19.39.9   59.19.39.9.9   19.39.9.9.99   39.9.9.99.69   9.9.99.69.39   9.99.69.39   99.69.39   69.39   39}
+
+do_execsql_test 1.12.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0.1.1.2.2   1.1.2.2.2   1.2.2.2.3   2.2.2.3.3   2.2.3.3.4   2.3.3.4.5   3.3.4.5.6   3.4.5.6.7   4.5.6.7.7   5.6.7.7.7   6.7.7.7.8   7.7.7.8.8   7.7.8.8.8   7.8.8.8.9   8.8.8.9.9   8.8.9.9.9   8.9.9.9.10   9.9.9.10.11   9.9.10.11.11   9.10.11.11.12   10.11.11.12.12   11.11.12.12.12   11.12.12.12.13   12.12.12.13.13   12.12.13.13.14   12.13.13.14.15   13.13.14.15.15   13.14.15.15.15   14.15.15.15.16   15.15.15.16.16   15.15.16.16.16   15.16.16.16.17   16.16.16.17.19   16.16.17.19.20   16.17.19.20.21   17.19.20.21.21   19.20.21.21.22   20.21.21.22.22   21.21.22.22.23   21.22.22.23.23   22.22.23.23.23   22.23.23.23.24   23.23.23.24.25   23.23.24.25.26   23.24.25.26.26   24.25.26.26.26   25.26.26.26.27   26.26.26.27.27   26.26.27.27.28   26.27.27.28.29   27.27.28.29.29   27.28.29.29.29   28.29.29.29.30   29.29.29.30.30   29.29.30.30.30   29.30.30.30.31   30.30.30.31.31   30.30.31.31.32   30.31.31.32.33   31.31.32.33.33   31.32.33.33.33   32.33.33.33.33   33.33.33.33.33   33.33.33.33.34   33.33.33.34.34   33.33.34.34.34   33.34.34.34.34   34.34.34.34.35   34.34.34.35.35   34.34.35.35.36   34.35.35.36.36   35.35.36.36.36   35.36.36.36.36   36.36.36.36.37   36.36.36.37.37   36.36.37.37.38   36.37.37.38.38   37.37.38.38.39   37.38.38.39.39   38.38.39.39.39   38.39.39.39.40   39.39.39.40.41   39.39.40.41.41   39.40.41.41.41   40.41.41.41.42   41.41.41.42.43   41.41.42.43.43   41.42.43.43.44   42.43.43.44.44   43.43.44.44.46   43.44.44.46.46   44.44.46.46.47   44.46.46.47.47   46.46.47.47.47   46.47.47.47.47   47.47.47.47.49   47.47.47.49.50   47.47.49.50.51   47.49.50.51.52   49.50.51.52.53   50.51.52.53.54   51.52.53.54.55   52.53.54.55.55   53.54.55.55.56   54.55.55.56.56   55.55.56.56.56   55.56.56.56.57   56.56.56.57.58   56.56.57.58.58   56.57.58.58.58   57.58.58.58.58   58.58.58.58.59   58.58.58.59.59   58.58.59.59.59   58.59.59.59.59   59.59.59.59.60   59.59.59.60.61   59.59.60.61.61   59.60.61.61.62   60.61.61.62.62   61.61.62.62.63   61.62.62.63.64   62.62.63.64.65   62.63.64.65.65   63.64.65.65.65   64.65.65.65.66   65.65.65.66.67   65.65.66.67.68   65.66.67.68.69   66.67.68.69.70   67.68.69.70.72   68.69.70.72.72   69.70.72.72.72   70.72.72.72.73   72.72.72.73.73   72.72.73.73.73   72.73.73.73.74   73.73.73.74.74   73.73.74.74.74   73.74.74.74.74   74.74.74.74.74   74.74.74.74.75   74.74.74.75.75   74.74.75.75.75   74.75.75.75.76   75.75.75.76.77   75.75.76.77.77   75.76.77.77.78   76.77.77.78.78   77.77.78.78.79   77.78.78.79.80   78.78.79.80.80   78.79.80.80.81   79.80.80.81.81   80.80.81.81.81   80.81.81.81.82   81.81.81.82.83   81.81.82.83.84   81.82.83.84.84   82.83.84.84.84   83.84.84.84.84   84.84.84.84.85   84.84.84.85.85   84.84.85.85.85   84.85.85.85.86   85.85.85.86.87   85.85.86.87.87   85.86.87.87.88   86.87.87.88.89   87.87.88.89.89   87.88.89.89.89   88.89.89.89.90   89.89.89.90.90   89.89.90.90.90   89.90.90.90.91   90.90.90.91.91   90.90.91.91.91   90.91.91.91.91   91.91.91.91.91   91.91.91.91.93   91.91.91.93.93   91.91.93.93.93   91.93.93.93.94   93.93.93.94.95   93.93.94.95.95   93.94.95.95.95   94.95.95.95.96   95.95.95.96.96   95.95.96.96.96   95.96.96.96.97   96.96.96.97.97   96.96.97.97.98   96.97.97.98.98   97.97.98.98.99   97.98.98.99.99   98.98.99.99.99   98.99.99.99   99.99.99   99.99   99}
+
+do_execsql_test 1.12.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0.10.20.30.30   10.20.30.30.30   20.30.30.30.40   30.30.30.40.50   30.30.40.50.60   30.40.50.60.70   40.50.60.70.80   50.60.70.80.80   60.70.80.80.90   70.80.80.90.90   80.80.90.90.90   80.90.90.90   90.90.90   90.90   90   1.1.11.11.21   1.11.11.21.21   11.11.21.21.31   11.21.21.31.31   21.21.31.31.41   21.31.31.41.41   31.31.41.41.41   31.41.41.41.51   41.41.41.51.61   41.41.51.61.61   41.51.61.61.81   51.61.61.81.81   61.61.81.81.81   61.81.81.81.91   81.81.81.91.91   81.81.91.91.91   81.91.91.91.91   91.91.91.91.91   91.91.91.91   91.91.91   91.91   91   2.2.2.12.12   2.2.12.12.12   2.12.12.12.22   12.12.12.22.22   12.12.22.22.32   12.22.22.32.42   22.22.32.42.52   22.32.42.52.62   32.42.52.62.62   42.52.62.62.72   52.62.62.72.72   62.62.72.72.72   62.72.72.72.82   72.72.72.82   72.72.82   72.82   82   3.3.13.13.23   3.13.13.23.23   13.13.23.23.23   13.23.23.23.33   23.23.23.33.33   23.23.33.33.33   23.33.33.33.33   33.33.33.33.33   33.33.33.33.43   33.33.33.43.43   33.33.43.43.53   33.43.43.53.63   43.43.53.63.73   43.53.63.73.73   53.63.73.73.73   63.73.73.73.83   73.73.73.83.93   73.73.83.93.93   73.83.93.93.93   83.93.93.93   93.93.93   93.93   93   4.14.24.34.34   14.24.34.34.34   24.34.34.34.34   34.34.34.34.44   34.34.34.44.44   34.34.44.44.54   34.44.44.54.64   44.44.54.64.74   44.54.64.74.74   54.64.74.74.74   64.74.74.74.74   74.74.74.74.74   74.74.74.74.84   74.74.74.84.84   74.74.84.84.84   74.84.84.84.84   84.84.84.84.94   84.84.84.94   84.84.94   84.94   94   5.15.15.15.25   15.15.15.25.35   15.15.25.35.35   15.25.35.35.55   25.35.35.55.55   35.35.55.55.65   35.55.55.65.65   55.55.65.65.65   55.65.65.65.75   65.65.65.75.75   65.65.75.75.75   65.75.75.75.85   75.75.75.85.85   75.75.85.85.85   75.85.85.85.95   85.85.85.95.95   85.85.95.95.95   85.95.95.95   95.95.95   95.95   95   6.16.16.16.26   16.16.16.26.26   16.16.26.26.26   16.26.26.26.36   26.26.26.36.36   26.26.36.36.36   26.36.36.36.36   36.36.36.36.46   36.36.36.46.46   36.36.46.46.56   36.46.46.56.56   46.46.56.56.56   46.56.56.56.66   56.56.56.66.76   56.56.66.76.86   56.66.76.86.96   66.76.86.96.96   76.86.96.96.96   86.96.96.96   96.96.96   96.96   96   7.7.7.17.27   7.7.17.27.27   7.17.27.27.37   17.27.27.37.37   27.27.37.37.47   27.37.37.47.47   37.37.47.47.47   37.47.47.47.47   47.47.47.47.57   47.47.47.57.67   47.47.57.67.77   47.57.67.77.77   57.67.77.77.87   67.77.77.87.87   77.77.87.87.97   77.87.87.97.97   87.87.97.97   87.97.97   97.97   97   8.8.8.28.38   8.8.28.38.38   8.28.38.38.58   28.38.38.58.58   38.38.58.58.58   38.58.58.58.58   58.58.58.58.68   58.58.58.68.78   58.58.68.78.78   58.68.78.78.88   68.78.78.88.98   78.78.88.98.98   78.88.98.98   88.98.98   98.98   98   9.9.9.19.29   9.9.19.29.29   9.19.29.29.29   19.29.29.29.39   29.29.29.39.39   29.29.39.39.39   29.39.39.39.49   39.39.39.49.59   39.39.49.59.59   39.49.59.59.59   49.59.59.59.59   59.59.59.59.69   59.59.59.69.79   59.59.69.79.89   59.69.79.89.89   69.79.89.89.89   79.89.89.89.99   89.89.89.99.99   89.89.99.99.99   89.99.99.99   99.99.99   99.99   99}
+
+do_execsql_test 1.12.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {0.90.40.30.80   90.40.30.80.20   40.30.80.20.90   30.80.20.90.60   80.20.90.60.70   20.90.60.70.80   90.60.70.80.90   60.70.80.90.30   70.80.90.30.50   80.90.30.50.10   90.30.50.10.30   30.50.10.30.41   50.10.30.41.81   10.30.41.81.91   30.41.81.91.61   41.81.91.61.91   81.91.61.91.91   91.61.91.91.1   61.91.91.1.81   91.91.1.81.41   91.1.81.41.61   1.81.41.61.1   81.41.61.1.21   41.61.1.21.11   61.1.21.11.51   1.21.11.51.41   21.11.51.41.31   11.51.41.31.31   51.41.31.31.11   41.31.31.11.81   31.31.11.81.91   31.11.81.91.91   11.81.91.91.21   81.91.91.21.2   91.91.21.2.62   91.21.2.62.12   21.2.62.12.32   2.62.12.32.22   62.12.32.22.42   12.32.22.42.2   32.22.42.2.72   22.42.2.72.12   42.2.72.12.22   2.72.12.22.2   72.12.22.2.72   12.22.2.72.72   22.2.72.72.12   2.72.72.12.62   72.72.12.62.52   72.12.62.52.82   12.62.52.82.23   62.52.82.23.33   52.82.23.33.93   82.23.33.93.23   23.33.93.23.93   33.93.23.93.43   93.23.93.43.3   23.93.43.3.43   93.43.3.43.33   43.3.43.33.53   3.43.33.53.63   43.33.53.63.73   33.53.63.73.13   53.63.73.13.73   63.73.13.73.73   73.13.73.73.33   13.73.73.33.93   73.73.33.93.23   73.33.93.23.13   33.93.23.13.33   93.23.13.33.3   23.13.33.3.33   13.33.3.33.83   33.3.33.83.74   3.33.83.74.74   33.83.74.74.54   83.74.74.54.84   74.74.54.84.74   74.54.84.74.24   54.84.74.24.4   84.74.24.4.94   74.24.4.94.84   24.4.94.84.74   4.94.84.74.34   94.84.74.34.34   84.74.34.34.44   74.34.34.44.74   34.34.44.74.64   34.44.74.64.14   44.74.64.14.34   74.64.14.34.84   64.14.34.84.84   14.34.84.84.44   34.84.84.44.34   84.84.44.34.65   84.44.34.65.35   44.34.65.35.85   34.65.35.85.85   65.35.85.85.55   35.85.85.55.15   85.85.55.15.25   85.55.15.25.75   55.15.25.75.95   15.25.75.95.65   25.75.95.65.65   75.95.65.65.35   95.65.65.35.5   65.65.35.5.15   65.35.5.15.95   35.5.15.95.55   5.15.95.55.75   15.95.55.75.85   95.55.75.85.75   55.75.85.75.15   75.85.75.15.95   85.75.15.95.26   75.15.95.26.96   15.95.26.96.46   95.26.96.46.6   26.96.46.6.46   96.46.6.46.16   46.6.46.16.16   6.46.16.16.86   46.16.16.86.56   16.16.86.56.56   16.86.56.56.56   86.56.56.56.16   56.56.56.16.36   56.56.16.36.76   56.16.36.76.96   16.36.76.96.96   36.76.96.96.26   76.96.96.26.26   96.96.26.26.36   96.26.26.36.66   26.26.36.66.36   26.36.66.36.36   36.66.36.36.97   66.36.36.97.27   36.36.97.27.97   36.97.27.97.67   97.27.97.67.77   27.97.67.77.47   97.67.77.47.7   67.77.47.7.47   77.47.7.47.87   47.7.47.87.37   7.47.87.37.87   47.87.37.87.77   87.37.87.77.7   37.87.77.7.57   87.77.7.57.47   77.7.57.47.47   7.57.47.47.37   57.47.47.37.27   47.47.37.27.17   47.37.27.17.7   37.27.17.7.38   27.17.7.38.68   17.7.38.68.78   7.38.68.78.8   38.68.78.8.28   68.78.8.28.98   78.8.28.98.78   8.28.98.78.58   28.98.78.58.98   98.78.58.98.8   78.58.98.8.88   58.98.8.88.8   98.8.88.8.58   8.88.8.58.58   88.8.58.58.58   8.58.58.58.38   58.58.58.38.99   58.58.38.99.89   58.38.99.89.59   38.99.89.59.39   99.89.59.39.99   89.59.39.99.29   59.39.99.29.59   39.99.29.59.89   99.29.59.89.89   29.59.89.89.29   59.89.89.29.9   89.89.29.9.79   89.29.9.79.49   29.9.79.49.59   9.79.49.59.29   79.49.59.29.59   49.59.29.59.19   59.29.59.19.39   29.59.19.39.9   59.19.39.9.9   19.39.9.9.99   39.9.9.99.69   9.9.99.69.39   9.99.69.39   99.69.39   69.39   39}
+
+do_execsql_test 1.12.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83   82   82   17   7   {}   {}}
@@ -4425,6 +4713,30 @@ do_execsql_test 1.13.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.13.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {41.74.23   74.23.99   23.99.26   99.26.33   26.33.2   33.2.89   2.89.81   89.81.96   81.96.59   96.59.38   59.38.68   38.68.39   68.39.62   39.62.91   62.91.46   91.46.6   46.6.99   6.99.97   99.97.27   97.27.46   27.46.78   46.78.54   78.54.97   54.97.8   97.8.67   8.67.29   67.29.93   29.93.84   93.84.77   84.77.23   77.23.16   23.16.16   16.16.93   16.93.65   93.65.35   65.35.47   35.47.7   47.7.86   7.86.74   86.74.61   74.61.91   61.91.85   91.85.24   85.24.85   24.85.43   85.43.59   43.59.12   59.12.32   12.32.56   32.56.3   56.3.91   3.91.22   91.22.90   22.90.55   90.55.15   55.15.28   15.28.89   28.89.25   89.25.47   25.47.1   47.1.56   1.56.40   56.40.43   40.43.56   43.56.16   56.16.75   16.75.36   75.36.89   36.89.98   89.98.76   98.76.81   76.81.4   81.4.94   4.94.42   94.42.30   42.30.78   30.78.33   78.33.29   33.29.53   29.53.63   53.63.2   63.2.87   2.87.37   87.37.80   37.80.84   80.84.72   84.72.41   72.41.9   41.9.61   9.61.73   61.73.95   73.95.65   95.65.13   65.13.58   13.58.96   58.96.98   96.98.1   98.1.21   1.21.74   21.74.65   74.65.35   65.35.5   35.5.73   5.73.11   73.11.51   11.51.87   51.87.41   87.41.12   41.12.8   12.8.20   8.20.31   20.31.31   31.31.15   31.15.95   15.95.22   95.22.73   22.73.79   73.79.88   79.88.34   88.34.8   34.8.11   8.11.49   11.49.34   49.34.90   34.90.59   90.59.96   59.96.60   96.60.55   60.55.75   55.75.77   75.77.44   77.44.2   44.2.7   2.7.85   7.85.57   85.57.74   57.74.29   74.29.70   29.70.59   70.59.19   59.19.39   19.39.26   39.26.26   26.26.47   26.47.80   47.80.90   80.90.36   90.36.58   36.58.47   58.47.9   47.9.72   9.72.72   72.72.66   72.66.33   66.33.93   33.93.75   93.75.64   75.64.81   64.81.9   81.9.23   9.23.37   23.37.13   37.13.12   13.12.14   12.14.62   14.62.91   62.91.36   91.36.91   36.91.33   91.33.15   33.15.34   15.34.36   34.36.99   36.99.3   99.3.95   3.95.69   95.69.58   69.58.52   58.52.30   52.30.50   30.50.84   50.84.10   84.10.84   10.84.33   84.33.21   33.21.39   21.39.44   39.44.58   44.58.30   58.30.38   30.38.34   38.34.83   34.83.27   83.27.82   27.82.17   82.17.7   17.7   7   {}   {}}
+
+do_execsql_test 1.13.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {40.30.80   30.80.20   80.20.90   20.90.60   90.60.70   60.70.80   70.80.90   80.90.30   90.30.50   30.50.10   50.10.30   10.30   30   {}   {}   91.61.91   61.91.91   91.91.1   91.1.81   1.81.41   81.41.61   41.61.1   61.1.21   1.21.11   21.11.51   11.51.41   51.41.31   41.31.31   31.31.11   31.11.81   11.81.91   81.91.91   91.91.21   91.21   21   {}   {}   12.32.22   32.22.42   22.42.2   42.2.72   2.72.12   72.12.22   12.22.2   22.2.72   2.72.72   72.72.12   72.12.62   12.62.52   62.52.82   52.82   82   {}   {}   93.23.93   23.93.43   93.43.3   43.3.43   3.43.33   43.33.53   33.53.63   53.63.73   63.73.13   73.13.73   13.73.73   73.73.33   73.33.93   33.93.23   93.23.13   23.13.33   13.33.3   33.3.33   3.33.83   33.83   83   {}   {}   54.84.74   84.74.24   74.24.4   24.4.94   4.94.84   94.84.74   84.74.34   74.34.34   34.34.44   34.44.74   44.74.64   74.64.14   64.14.34   14.34.84   34.84.84   84.84.44   84.44.34   44.34   34   {}   {}   85.85.55   85.55.15   55.15.25   15.25.75   25.75.95   75.95.65   95.65.65   65.65.35   65.35.5   35.5.15   5.15.95   15.95.55   95.55.75   55.75.85   75.85.75   85.75.15   75.15.95   15.95   95   {}   {}   46.6.46   6.46.16   46.16.16   16.16.86   16.86.56   86.56.56   56.56.56   56.56.16   56.16.36   16.36.76   36.76.96   76.96.96   96.96.26   96.26.26   26.26.36   26.36.66   36.66.36   66.36.36   36.36   36   {}   {}   97.67.77   67.77.47   77.47.7   47.7.47   7.47.87   47.87.37   87.37.87   37.87.77   87.77.7   77.7.57   7.57.47   57.47.47   47.47.37   47.37.27   37.27.17   27.17.7   17.7   7   {}   {}   78.8.28   8.28.98   28.98.78   98.78.58   78.58.98   58.98.8   98.8.88   8.88.8   88.8.58   8.58.58   58.58.58   58.58.38   58.38   38   {}   {}   59.39.99   39.99.29   99.29.59   29.59.89   59.89.89   89.89.29   89.29.9   29.9.79   9.79.49   79.49.59   49.59.29   59.29.59   29.59.19   59.19.39   19.39.9   39.9.9   9.9.99   9.99.69   99.69.39   69.39   39   {}   {}}
+
+do_execsql_test 1.13.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1.2.2   2.2.2   2.2.3   2.3.3   3.3.4   3.4.5   4.5.6   5.6.7   6.7.7   7.7.7   7.7.8   7.8.8   8.8.8   8.8.9   8.9.9   9.9.9   9.9.10   9.10.11   10.11.11   11.11.12   11.12.12   12.12.12   12.12.13   12.13.13   13.13.14   13.14.15   14.15.15   15.15.15   15.15.16   15.16.16   16.16.16   16.16.17   16.17.19   17.19.20   19.20.21   20.21.21   21.21.22   21.22.22   22.22.23   22.23.23   23.23.23   23.23.24   23.24.25   24.25.26   25.26.26   26.26.26   26.26.27   26.27.27   27.27.28   27.28.29   28.29.29   29.29.29   29.29.30   29.30.30   30.30.30   30.30.31   30.31.31   31.31.32   31.32.33   32.33.33   33.33.33   33.33.33   33.33.33   33.33.34   33.34.34   34.34.34   34.34.34   34.34.35   34.35.35   35.35.36   35.36.36   36.36.36   36.36.36   36.36.37   36.37.37   37.37.38   37.38.38   38.38.39   38.39.39   39.39.39   39.39.40   39.40.41   40.41.41   41.41.41   41.41.42   41.42.43   42.43.43   43.43.44   43.44.44   44.44.46   44.46.46   46.46.47   46.47.47   47.47.47   47.47.47   47.47.49   47.49.50   49.50.51   50.51.52   51.52.53   52.53.54   53.54.55   54.55.55   55.55.56   55.56.56   56.56.56   56.56.57   56.57.58   57.58.58   58.58.58   58.58.58   58.58.59   58.59.59   59.59.59   59.59.59   59.59.60   59.60.61   60.61.61   61.61.62   61.62.62   62.62.63   62.63.64   63.64.65   64.65.65   65.65.65   65.65.66   65.66.67   66.67.68   67.68.69   68.69.70   69.70.72   70.72.72   72.72.72   72.72.73   72.73.73   73.73.73   73.73.74   73.74.74   74.74.74   74.74.74   74.74.74   74.74.75   74.75.75   75.75.75   75.75.76   75.76.77   76.77.77   77.77.78   77.78.78   78.78.79   78.79.80   79.80.80   80.80.81   80.81.81   81.81.81   81.81.82   81.82.83   82.83.84   83.84.84   84.84.84   84.84.84   84.84.85   84.85.85   85.85.85   85.85.86   85.86.87   86.87.87   87.87.88   87.88.89   88.89.89   89.89.89   89.89.90   89.90.90   90.90.90   90.90.91   90.91.91   91.91.91   91.91.91   91.91.91   91.91.93   91.93.93   93.93.93   93.93.94   93.94.95   94.95.95   95.95.95   95.95.96   95.96.96   96.96.96   96.96.97   96.97.97   97.97.98   97.98.98   98.98.99   98.99.99   99.99.99   99.99   99   {}   {}}
+
+do_execsql_test 1.13.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {20.30.30   30.30.30   30.30.40   30.40.50   40.50.60   50.60.70   60.70.80   70.80.80   80.80.90   80.90.90   90.90.90   90.90   90   {}   {}   11.11.21   11.21.21   21.21.31   21.31.31   31.31.41   31.41.41   41.41.41   41.41.51   41.51.61   51.61.61   61.61.81   61.81.81   81.81.81   81.81.91   81.91.91   91.91.91   91.91.91   91.91.91   91.91   91   {}   {}   2.12.12   12.12.12   12.12.22   12.22.22   22.22.32   22.32.42   32.42.52   42.52.62   52.62.62   62.62.72   62.72.72   72.72.72   72.72.82   72.82   82   {}   {}   13.13.23   13.23.23   23.23.23   23.23.33   23.33.33   33.33.33   33.33.33   33.33.33   33.33.43   33.43.43   43.43.53   43.53.63   53.63.73   63.73.73   73.73.73   73.73.83   73.83.93   83.93.93   93.93.93   93.93   93   {}   {}   24.34.34   34.34.34   34.34.34   34.34.44   34.44.44   44.44.54   44.54.64   54.64.74   64.74.74   74.74.74   74.74.74   74.74.74   74.74.84   74.84.84   84.84.84   84.84.84   84.84.94   84.94   94   {}   {}   15.15.25   15.25.35   25.35.35   35.35.55   35.55.55   55.55.65   55.65.65   65.65.65   65.65.75   65.75.75   75.75.75   75.75.85   75.85.85   85.85.85   85.85.95   85.95.95   95.95.95   95.95   95   {}   {}   16.16.26   16.26.26   26.26.26   26.26.36   26.36.36   36.36.36   36.36.36   36.36.46   36.46.46   46.46.56   46.56.56   56.56.56   56.56.66   56.66.76   66.76.86   76.86.96   86.96.96   96.96.96   96.96   96   {}   {}   7.17.27   17.27.27   27.27.37   27.37.37   37.37.47   37.47.47   47.47.47   47.47.47   47.47.57   47.57.67   57.67.77   67.77.77   77.77.87   77.87.87   87.87.97   87.97.97   97.97   97   {}   {}   8.28.38   28.38.38   38.38.58   38.58.58   58.58.58   58.58.58   58.58.68   58.68.78   68.78.78   78.78.88   78.88.98   88.98.98   98.98   98   {}   {}   9.19.29   19.29.29   29.29.29   29.29.39   29.39.39   39.39.39   39.39.49   39.49.59   49.59.59   59.59.59   59.59.59   59.59.69   59.69.79   69.79.89   79.89.89   89.89.89   89.89.99   89.99.99   99.99.99   99.99   99   {}   {}}
+
+do_execsql_test 1.13.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {40.30.80   30.80.20   80.20.90   20.90.60   90.60.70   60.70.80   70.80.90   80.90.30   90.30.50   30.50.10   50.10.30   10.30.41   30.41.81   41.81.91   81.91.61   91.61.91   61.91.91   91.91.1   91.1.81   1.81.41   81.41.61   41.61.1   61.1.21   1.21.11   21.11.51   11.51.41   51.41.31   41.31.31   31.31.11   31.11.81   11.81.91   81.91.91   91.91.21   91.21.2   21.2.62   2.62.12   62.12.32   12.32.22   32.22.42   22.42.2   42.2.72   2.72.12   72.12.22   12.22.2   22.2.72   2.72.72   72.72.12   72.12.62   12.62.52   62.52.82   52.82.23   82.23.33   23.33.93   33.93.23   93.23.93   23.93.43   93.43.3   43.3.43   3.43.33   43.33.53   33.53.63   53.63.73   63.73.13   73.13.73   13.73.73   73.73.33   73.33.93   33.93.23   93.23.13   23.13.33   13.33.3   33.3.33   3.33.83   33.83.74   83.74.74   74.74.54   74.54.84   54.84.74   84.74.24   74.24.4   24.4.94   4.94.84   94.84.74   84.74.34   74.34.34   34.34.44   34.44.74   44.74.64   74.64.14   64.14.34   14.34.84   34.84.84   84.84.44   84.44.34   44.34.65   34.65.35   65.35.85   35.85.85   85.85.55   85.55.15   55.15.25   15.25.75   25.75.95   75.95.65   95.65.65   65.65.35   65.35.5   35.5.15   5.15.95   15.95.55   95.55.75   55.75.85   75.85.75   85.75.15   75.15.95   15.95.26   95.26.96   26.96.46   96.46.6   46.6.46   6.46.16   46.16.16   16.16.86   16.86.56   86.56.56   56.56.56   56.56.16   56.16.36   16.36.76   36.76.96   76.96.96   96.96.26   96.26.26   26.26.36   26.36.66   36.66.36   66.36.36   36.36.97   36.97.27   97.27.97   27.97.67   97.67.77   67.77.47   77.47.7   47.7.47   7.47.87   47.87.37   87.37.87   37.87.77   87.77.7   77.7.57   7.57.47   57.47.47   47.47.37   47.37.27   37.27.17   27.17.7   17.7.38   7.38.68   38.68.78   68.78.8   78.8.28   8.28.98   28.98.78   98.78.58   78.58.98   58.98.8   98.8.88   8.88.8   88.8.58   8.58.58   58.58.58   58.58.38   58.38.99   38.99.89   99.89.59   89.59.39   59.39.99   39.99.29   99.29.59   29.59.89   59.89.89   89.89.29   89.29.9   29.9.79   9.79.49   79.49.59   49.59.29   59.29.59   29.59.19   59.19.39   19.39.9   39.9.9   9.9.99   9.99.69   99.69.39   69.39   39   {}   {}}
+
+do_execsql_test 1.13.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -4761,6 +5073,30 @@ do_execsql_test 1.14.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.14.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   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0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7}
+
+do_execsql_test 1.14.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39}
+
+do_execsql_test 1.14.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   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0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99}
+
+do_execsql_test 1.14.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99}
+
+do_execsql_test 1.14.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   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0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39}
+
+do_execsql_test 1.14.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83}
@@ -5097,6 +5433,30 @@ do_execsql_test 1.15.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.15.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   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0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   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20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.21.39.44.58.30.38.34.83.27.82.17.7   21.39.44.58.30.38.34.83.27.82.17.7   39.44.58.30.38.34.83.27.82.17.7   44.58.30.38.34.83.27.82.17.7   58.30.38.34.83.27.82.17.7   30.38.34.83.27.82.17.7   38.34.83.27.82.17.7   34.83.27.82.17.7   83.27.82.17.7}
+
+do_execsql_test 1.15.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   90.40.30.80.20.90.60.70.80.90.30.50.10.30   40.30.80.20.90.60.70.80.90.30.50.10.30   30.80.20.90.60.70.80.90.30.50.10.30   80.20.90.60.70.80.90.30.50.10.30   20.90.60.70.80.90.30.50.10.30   90.60.70.80.90.30.50.10.30   60.70.80.90.30.50.10.30   70.80.90.30.50.10.30   80.90.30.50.10.30   90.30.50.10.30   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.61.1.21.11.51.41.31.31.11.81.91.91.21   61.1.21.11.51.41.31.31.11.81.91.91.21   1.21.11.51.41.31.31.11.81.91.91.21   21.11.51.41.31.31.11.81.91.91.21   11.51.41.31.31.11.81.91.91.21   51.41.31.31.11.81.91.91.21   41.31.31.11.81.91.91.21   31.31.11.81.91.91.21   31.11.81.91.91.21   11.81.91.91.21   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   32.22.42.2.72.12.22.2.72.72.12.62.52.82   22.42.2.72.12.22.2.72.72.12.62.52.82   42.2.72.12.22.2.72.72.12.62.52.82   2.72.12.22.2.72.72.12.62.52.82   72.12.22.2.72.72.12.62.52.82   12.22.2.72.72.12.62.52.82   22.2.72.72.12.62.52.82   2.72.72.12.62.52.82   72.72.12.62.52.82   72.12.62.52.82   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   53.63.73.13.73.73.33.93.23.13.33.3.33.83   63.73.13.73.73.33.93.23.13.33.3.33.83   73.13.73.73.33.93.23.13.33.3.33.83   13.73.73.33.93.23.13.33.3.33.83   73.73.33.93.23.13.33.3.33.83   73.33.93.23.13.33.3.33.83   33.93.23.13.33.3.33.83   93.23.13.33.3.33.83   23.13.33.3.33.83   13.33.3.33.83   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   94.84.74.34.34.44.74.64.14.34.84.84.44.34   84.74.34.34.44.74.64.14.34.84.84.44.34   74.34.34.44.74.64.14.34.84.84.44.34   34.34.44.74.64.14.34.84.84.44.34   34.44.74.64.14.34.84.84.44.34   44.74.64.14.34.84.84.44.34   74.64.14.34.84.84.44.34   64.14.34.84.84.44.34   14.34.84.84.44.34   34.84.84.44.34   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   75.95.65.65.35.5.15.95.55.75.85.75.15.95   95.65.65.35.5.15.95.55.75.85.75.15.95   65.65.35.5.15.95.55.75.85.75.15.95   65.35.5.15.95.55.75.85.75.15.95   35.5.15.95.55.75.85.75.15.95   5.15.95.55.75.85.75.15.95   15.95.55.75.85.75.15.95   95.55.75.85.75.15.95   55.75.85.75.15.95   75.85.75.15.95   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   56.56.56.16.36.76.96.96.26.26.36.66.36.36   56.56.16.36.76.96.96.26.26.36.66.36.36   56.16.36.76.96.96.26.26.36.66.36.36   16.36.76.96.96.26.26.36.66.36.36   36.76.96.96.26.26.36.66.36.36   76.96.96.26.26.36.66.36.36   96.96.26.26.36.66.36.36   96.26.26.36.66.36.36   26.26.36.66.36.36   26.36.66.36.36   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   7.47.87.37.87.77.7.57.47.47.37.27.17.7   47.87.37.87.77.7.57.47.47.37.27.17.7   87.37.87.77.7.57.47.47.37.27.17.7   37.87.77.7.57.47.47.37.27.17.7   87.77.7.57.47.47.37.27.17.7   77.7.57.47.47.37.27.17.7   7.57.47.47.37.27.17.7   57.47.47.37.27.17.7   47.47.37.27.17.7   47.37.27.17.7   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   78.8.28.98.78.58.98.8.88.8.58.58.58.38   8.28.98.78.58.98.8.88.8.58.58.58.38   28.98.78.58.98.8.88.8.58.58.58.38   98.78.58.98.8.88.8.58.58.58.38   78.58.98.8.88.8.58.58.58.38   58.98.8.88.8.58.58.58.38   98.8.88.8.58.58.58.38   8.88.8.58.58.58.38   88.8.58.58.58.38   8.58.58.58.38   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.9.79.49.59.29.59.19.39.9.9.99.69.39   9.79.49.59.29.59.19.39.9.9.99.69.39   79.49.59.29.59.19.39.9.9.99.69.39   49.59.29.59.19.39.9.9.99.69.39   59.29.59.19.39.9.9.99.69.39   29.59.19.39.9.9.99.69.39   59.19.39.9.9.99.69.39   19.39.9.9.99.69.39   39.9.9.99.69.39   9.9.99.69.39}
+
+do_execsql_test 1.15.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   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65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   94.95.95.95.96.96.96.97.97.98.98.99.99.99   95.95.95.96.96.96.97.97.98.98.99.99.99   95.95.96.96.96.97.97.98.98.99.99.99   95.96.96.96.97.97.98.98.99.99.99   96.96.96.97.97.98.98.99.99.99   96.96.97.97.98.98.99.99.99   96.97.97.98.98.99.99.99   97.97.98.98.99.99.99   97.98.98.99.99.99   98.98.99.99.99}
+
+do_execsql_test 1.15.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   10.20.30.30.30.40.50.60.70.80.80.90.90.90   20.30.30.30.40.50.60.70.80.80.90.90.90   30.30.30.40.50.60.70.80.80.90.90.90   30.30.40.50.60.70.80.80.90.90.90   30.40.50.60.70.80.80.90.90.90   40.50.60.70.80.80.90.90.90   50.60.70.80.80.90.90.90   60.70.80.80.90.90.90   70.80.80.90.90.90   80.80.90.90.90   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   41.41.41.51.61.61.81.81.81.91.91.91.91.91   41.41.51.61.61.81.81.81.91.91.91.91.91   41.51.61.61.81.81.81.91.91.91.91.91   51.61.61.81.81.81.91.91.91.91.91   61.61.81.81.81.91.91.91.91.91   61.81.81.81.91.91.91.91.91   81.81.81.91.91.91.91.91   81.81.91.91.91.91.91   81.91.91.91.91.91   91.91.91.91.91   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   12.12.12.22.22.32.42.52.62.62.72.72.72.82   12.12.22.22.32.42.52.62.62.72.72.72.82   12.22.22.32.42.52.62.62.72.72.72.82   22.22.32.42.52.62.62.72.72.72.82   22.32.42.52.62.62.72.72.72.82   32.42.52.62.62.72.72.72.82   42.52.62.62.72.72.72.82   52.62.62.72.72.72.82   62.62.72.72.72.82   62.72.72.72.82   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.43.43.53.63.73.73.73.83.93.93.93   33.43.43.53.63.73.73.73.83.93.93.93   43.43.53.63.73.73.73.83.93.93.93   43.53.63.73.73.73.83.93.93.93   53.63.73.73.73.83.93.93.93   63.73.73.73.83.93.93.93   73.73.73.83.93.93.93   73.73.83.93.93.93   73.83.93.93.93   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   44.44.54.64.74.74.74.74.74.84.84.84.84.94   44.54.64.74.74.74.74.74.84.84.84.84.94   54.64.74.74.74.74.74.84.84.84.84.94   64.74.74.74.74.74.84.84.84.84.94   74.74.74.74.74.84.84.84.84.94   74.74.74.74.84.84.84.84.94   74.74.74.84.84.84.84.94   74.74.84.84.84.84.94   74.84.84.84.84.94   84.84.84.84.94   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   55.55.65.65.65.75.75.75.85.85.85.95.95.95   55.65.65.65.75.75.75.85.85.85.95.95.95   65.65.65.75.75.75.85.85.85.95.95.95   65.65.75.75.75.85.85.85.95.95.95   65.75.75.75.85.85.85.95.95.95   75.75.75.85.85.85.95.95.95   75.75.85.85.85.95.95.95   75.85.85.85.95.95.95   85.85.85.95.95.95   85.85.95.95.95   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.46.46.56.56.56.66.76.86.96.96.96   36.46.46.56.56.56.66.76.86.96.96.96   46.46.56.56.56.66.76.86.96.96.96   46.56.56.56.66.76.86.96.96.96   56.56.56.66.76.86.96.96.96   56.56.66.76.86.96.96.96   56.66.76.86.96.96.96   66.76.86.96.96.96   76.86.96.96.96   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   37.37.47.47.47.47.57.67.77.77.87.87.97.97   37.47.47.47.47.57.67.77.77.87.87.97.97   47.47.47.47.57.67.77.77.87.87.97.97   47.47.47.57.67.77.77.87.87.97.97   47.47.57.67.77.77.87.87.97.97   47.57.67.77.77.87.87.97.97   57.67.77.77.87.87.97.97   67.77.77.87.87.97.97   77.77.87.87.97.97   77.87.87.97.97   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.28.38.38.58.58.58.58.68.78.78.88.98.98   28.38.38.58.58.58.58.68.78.78.88.98.98   38.38.58.58.58.58.68.78.78.88.98.98   38.58.58.58.58.68.78.78.88.98.98   58.58.58.58.68.78.78.88.98.98   58.58.58.68.78.78.88.98.98   58.58.68.78.78.88.98.98   58.68.78.78.88.98.98   68.78.78.88.98.98   78.78.88.98.98   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.49.59.59.59.59.69.79.89.89.89.99.99.99   49.59.59.59.59.69.79.89.89.89.99.99.99   59.59.59.59.69.79.89.89.89.99.99.99   59.59.59.69.79.89.89.89.99.99.99   59.59.69.79.89.89.89.99.99.99   59.69.79.89.89.89.99.99.99   69.79.89.89.89.99.99.99   79.89.89.89.99.99.99   89.89.89.99.99.99   89.89.99.99.99}
+
+do_execsql_test 1.15.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   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61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   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46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.9.79.49.59.29.59.19.39.9.9.99.69.39   9.79.49.59.29.59.19.39.9.9.99.69.39   79.49.59.29.59.19.39.9.9.99.69.39   49.59.29.59.19.39.9.9.99.69.39   59.29.59.19.39.9.9.99.69.39   29.59.19.39.9.9.99.69.39   59.19.39.9.9.99.69.39   19.39.9.9.99.69.39   39.9.9.99.69.39   9.9.99.69.39}
+
+do_execsql_test 1.15.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -5433,6 +5793,30 @@ do_execsql_test 1.16.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.16.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0.74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   74.41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   41.74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   74.23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   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79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.21.39.44.58.30.38.34.83.27.82.17.7   21.39.44.58.30.38.34.83.27.82.17.7   39.44.58.30.38.34.83.27.82.17.7   44.58.30.38.34.83.27.82.17.7   58.30.38.34.83.27.82.17.7   30.38.34.83.27.82.17.7   38.34.83.27.82.17.7   34.83.27.82.17.7   83.27.82.17.7   27.82.17.7   82.17.7   17.7   7}
+
+do_execsql_test 1.16.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0.90.40.30.80.20.90.60.70.80.90.30.50.10.30   90.40.30.80.20.90.60.70.80.90.30.50.10.30   40.30.80.20.90.60.70.80.90.30.50.10.30   30.80.20.90.60.70.80.90.30.50.10.30   80.20.90.60.70.80.90.30.50.10.30   20.90.60.70.80.90.30.50.10.30   90.60.70.80.90.30.50.10.30   60.70.80.90.30.50.10.30   70.80.90.30.50.10.30   80.90.30.50.10.30   90.30.50.10.30   30.50.10.30   50.10.30   10.30   30   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.61.1.21.11.51.41.31.31.11.81.91.91.21   61.1.21.11.51.41.31.31.11.81.91.91.21   1.21.11.51.41.31.31.11.81.91.91.21   21.11.51.41.31.31.11.81.91.91.21   11.51.41.31.31.11.81.91.91.21   51.41.31.31.11.81.91.91.21   41.31.31.11.81.91.91.21   31.31.11.81.91.91.21   31.11.81.91.91.21   11.81.91.91.21   81.91.91.21   91.91.21   91.21   21   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   12.32.22.42.2.72.12.22.2.72.72.12.62.52.82   32.22.42.2.72.12.22.2.72.72.12.62.52.82   22.42.2.72.12.22.2.72.72.12.62.52.82   42.2.72.12.22.2.72.72.12.62.52.82   2.72.12.22.2.72.72.12.62.52.82   72.12.22.2.72.72.12.62.52.82   12.22.2.72.72.12.62.52.82   22.2.72.72.12.62.52.82   2.72.72.12.62.52.82   72.72.12.62.52.82   72.12.62.52.82   12.62.52.82   62.52.82   52.82   82   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   53.63.73.13.73.73.33.93.23.13.33.3.33.83   63.73.13.73.73.33.93.23.13.33.3.33.83   73.13.73.73.33.93.23.13.33.3.33.83   13.73.73.33.93.23.13.33.3.33.83   73.73.33.93.23.13.33.3.33.83   73.33.93.23.13.33.3.33.83   33.93.23.13.33.3.33.83   93.23.13.33.3.33.83   23.13.33.3.33.83   13.33.3.33.83   33.3.33.83   3.33.83   33.83   83   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   94.84.74.34.34.44.74.64.14.34.84.84.44.34   84.74.34.34.44.74.64.14.34.84.84.44.34   74.34.34.44.74.64.14.34.84.84.44.34   34.34.44.74.64.14.34.84.84.44.34   34.44.74.64.14.34.84.84.44.34   44.74.64.14.34.84.84.44.34   74.64.14.34.84.84.44.34   64.14.34.84.84.44.34   14.34.84.84.44.34   34.84.84.44.34   84.84.44.34   84.44.34   44.34   34   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   75.95.65.65.35.5.15.95.55.75.85.75.15.95   95.65.65.35.5.15.95.55.75.85.75.15.95   65.65.35.5.15.95.55.75.85.75.15.95   65.35.5.15.95.55.75.85.75.15.95   35.5.15.95.55.75.85.75.15.95   5.15.95.55.75.85.75.15.95   15.95.55.75.85.75.15.95   95.55.75.85.75.15.95   55.75.85.75.15.95   75.85.75.15.95   85.75.15.95   75.15.95   15.95   95   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   56.56.56.16.36.76.96.96.26.26.36.66.36.36   56.56.16.36.76.96.96.26.26.36.66.36.36   56.16.36.76.96.96.26.26.36.66.36.36   16.36.76.96.96.26.26.36.66.36.36   36.76.96.96.26.26.36.66.36.36   76.96.96.26.26.36.66.36.36   96.96.26.26.36.66.36.36   96.26.26.36.66.36.36   26.26.36.66.36.36   26.36.66.36.36   36.66.36.36   66.36.36   36.36   36   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   7.47.87.37.87.77.7.57.47.47.37.27.17.7   47.87.37.87.77.7.57.47.47.37.27.17.7   87.37.87.77.7.57.47.47.37.27.17.7   37.87.77.7.57.47.47.37.27.17.7   87.77.7.57.47.47.37.27.17.7   77.7.57.47.47.37.27.17.7   7.57.47.47.37.27.17.7   57.47.47.37.27.17.7   47.47.37.27.17.7   47.37.27.17.7   37.27.17.7   27.17.7   17.7   7   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   68.78.8.28.98.78.58.98.8.88.8.58.58.58.38   78.8.28.98.78.58.98.8.88.8.58.58.58.38   8.28.98.78.58.98.8.88.8.58.58.58.38   28.98.78.58.98.8.88.8.58.58.58.38   98.78.58.98.8.88.8.58.58.58.38   78.58.98.8.88.8.58.58.58.38   58.98.8.88.8.58.58.58.38   98.8.88.8.58.58.58.38   8.88.8.58.58.58.38   88.8.58.58.58.38   8.58.58.58.38   58.58.58.38   58.58.38   58.38   38   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.9.79.49.59.29.59.19.39.9.9.99.69.39   9.79.49.59.29.59.19.39.9.9.99.69.39   79.49.59.29.59.19.39.9.9.99.69.39   49.59.29.59.19.39.9.9.99.69.39   59.29.59.19.39.9.9.99.69.39   29.59.19.39.9.9.99.69.39   59.19.39.9.9.99.69.39   19.39.9.9.99.69.39   39.9.9.99.69.39   9.9.99.69.39   9.99.69.39   99.69.39   69.39   39}
+
+do_execsql_test 1.16.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   1.1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   1.2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   2.2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   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79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   94.95.95.95.96.96.96.97.97.98.98.99.99.99   95.95.95.96.96.96.97.97.98.98.99.99.99   95.95.96.96.96.97.97.98.98.99.99.99   95.96.96.96.97.97.98.98.99.99.99   96.96.96.97.97.98.98.99.99.99   96.96.97.97.98.98.99.99.99   96.97.97.98.98.99.99.99   97.97.98.98.99.99.99   97.98.98.99.99.99   98.98.99.99.99   98.99.99.99   99.99.99   99.99   99}
+
+do_execsql_test 1.16.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.10.20.30.30.30.40.50.60.70.80.80.90.90.90   10.20.30.30.30.40.50.60.70.80.80.90.90.90   20.30.30.30.40.50.60.70.80.80.90.90.90   30.30.30.40.50.60.70.80.80.90.90.90   30.30.40.50.60.70.80.80.90.90.90   30.40.50.60.70.80.80.90.90.90   40.50.60.70.80.80.90.90.90   50.60.70.80.80.90.90.90   60.70.80.80.90.90.90   70.80.80.90.90.90   80.80.90.90.90   80.90.90.90   90.90.90   90.90   90   1.1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   1.11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   11.11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   11.21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   41.41.41.51.61.61.81.81.81.91.91.91.91.91   41.41.51.61.61.81.81.81.91.91.91.91.91   41.51.61.61.81.81.81.91.91.91.91.91   51.61.61.81.81.81.91.91.91.91.91   61.61.81.81.81.91.91.91.91.91   61.81.81.81.91.91.91.91.91   81.81.81.91.91.91.91.91   81.81.91.91.91.91.91   81.91.91.91.91.91   91.91.91.91.91   91.91.91.91   91.91.91   91.91   91   2.2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   2.12.12.12.22.22.32.42.52.62.62.72.72.72.82   12.12.12.22.22.32.42.52.62.62.72.72.72.82   12.12.22.22.32.42.52.62.62.72.72.72.82   12.22.22.32.42.52.62.62.72.72.72.82   22.22.32.42.52.62.62.72.72.72.82   22.32.42.52.62.62.72.72.72.82   32.42.52.62.62.72.72.72.82   42.52.62.62.72.72.72.82   52.62.62.72.72.72.82   62.62.72.72.72.82   62.72.72.72.82   72.72.72.82   72.72.82   72.82   82   3.3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   3.13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   13.13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   13.23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.43.43.53.63.73.73.73.83.93.93.93   33.43.43.53.63.73.73.73.83.93.93.93   43.43.53.63.73.73.73.83.93.93.93   43.53.63.73.73.73.83.93.93.93   53.63.73.73.73.83.93.93.93   63.73.73.73.83.93.93.93   73.73.73.83.93.93.93   73.73.83.93.93.93   73.83.93.93.93   83.93.93.93   93.93.93   93.93   93   4.14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   14.24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   24.34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   44.44.54.64.74.74.74.74.74.84.84.84.84.94   44.54.64.74.74.74.74.74.84.84.84.84.94   54.64.74.74.74.74.74.84.84.84.84.94   64.74.74.74.74.74.84.84.84.84.94   74.74.74.74.74.84.84.84.84.94   74.74.74.74.84.84.84.84.94   74.74.74.84.84.84.84.94   74.74.84.84.84.84.94   74.84.84.84.84.94   84.84.84.84.94   84.84.84.94   84.84.94   84.94   94   5.15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   15.15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   15.15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   15.25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   55.55.65.65.65.75.75.75.85.85.85.95.95.95   55.65.65.65.75.75.75.85.85.85.95.95.95   65.65.65.75.75.75.85.85.85.95.95.95   65.65.75.75.75.85.85.85.95.95.95   65.75.75.75.85.85.85.95.95.95   75.75.75.85.85.85.95.95.95   75.75.85.85.85.95.95.95   75.85.85.85.95.95.95   85.85.85.95.95.95   85.85.95.95.95   85.95.95.95   95.95.95   95.95   95   6.16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   16.16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   16.16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   16.26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.46.46.56.56.56.66.76.86.96.96.96   36.46.46.56.56.56.66.76.86.96.96.96   46.46.56.56.56.66.76.86.96.96.96   46.56.56.56.66.76.86.96.96.96   56.56.56.66.76.86.96.96.96   56.56.66.76.86.96.96.96   56.66.76.86.96.96.96   66.76.86.96.96.96   76.86.96.96.96   86.96.96.96   96.96.96   96.96   96   7.7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   7.17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   17.27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   37.37.47.47.47.47.57.67.77.77.87.87.97.97   37.47.47.47.47.57.67.77.77.87.87.97.97   47.47.47.47.57.67.77.77.87.87.97.97   47.47.47.57.67.77.77.87.87.97.97   47.47.57.67.77.77.87.87.97.97   47.57.67.77.77.87.87.97.97   57.67.77.77.87.87.97.97   67.77.77.87.87.97.97   77.77.87.87.97.97   77.87.87.97.97   87.87.97.97   87.97.97   97.97   97   8.8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.8.28.38.38.58.58.58.58.68.78.78.88.98.98   8.28.38.38.58.58.58.58.68.78.78.88.98.98   28.38.38.58.58.58.58.68.78.78.88.98.98   38.38.58.58.58.58.68.78.78.88.98.98   38.58.58.58.58.68.78.78.88.98.98   58.58.58.58.68.78.78.88.98.98   58.58.58.68.78.78.88.98.98   58.58.68.78.78.88.98.98   58.68.78.78.88.98.98   68.78.78.88.98.98   78.78.88.98.98   78.88.98.98   88.98.98   98.98   98   9.9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   9.19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   19.29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.49.59.59.59.59.69.79.89.89.89.99.99.99   49.59.59.59.59.69.79.89.89.89.99.99.99   59.59.59.59.69.79.89.89.89.99.99.99   59.59.59.69.79.89.89.89.99.99.99   59.59.69.79.89.89.89.99.99.99   59.69.79.89.89.89.99.99.99   69.79.89.89.89.99.99.99   79.89.89.89.99.99.99   89.89.89.99.99.99   89.89.99.99.99   89.99.99.99   99.99.99   99.99   99}
+
+do_execsql_test 1.16.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {0.90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   40.30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   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46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.9.79.49.59.29.59.19.39.9.9.99.69.39   9.79.49.59.29.59.19.39.9.9.99.69.39   79.49.59.29.59.19.39.9.9.99.69.39   49.59.29.59.19.39.9.9.99.69.39   59.29.59.19.39.9.9.99.69.39   29.59.19.39.9.9.99.69.39   59.19.39.9.9.99.69.39   19.39.9.9.99.69.39   39.9.9.99.69.39   9.9.99.69.39   9.99.69.39   99.69.39   69.39   39}
+
+do_execsql_test 1.16.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
+
 do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7   {}   {}   {}   {}}
@@ -5769,4 +6153,28 @@ do_execsql_test 1.17.13.6 {
   SELECT lag(b,b) OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
 } {0   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.17.14.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {23.99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   99.26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   26.33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   2.89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   89.81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   81.96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   96.59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   59.38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   38.68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   68.39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   39.62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   62.91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   91.46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   46.6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   6.99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   99.97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   97.27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   27.46.78.54.97.8.67.29.93.84.77.23.16.16.93.65.35.47.7.86.74.61.91.85.24.85.43.59.12.32.56.3.91.22.90.55.15.28.89.25.47.1.56.40.43.56.16.75.36.89.98.76.81.4.94.42.30.78.33.29.53.63.2.87.37.80.84.72.41.9.61.73.95.65.13.58.96.98.1.21.74.65.35.5.73.11.51.87.41.12.8.20.31.31.15.95.22.73.79.88.34.8.11.49.34.90.59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   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59.96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   96.60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   60.55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   55.75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   75.77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   77.44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   44.2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   2.7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   7.85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   85.57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   57.74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   74.29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   29.70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   70.59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   59.19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   19.39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   39.26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   26.26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   26.47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   47.80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   80.90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   90.36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   58.47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   47.9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   9.72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   72.72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   72.66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   66.33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   93.75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   75.64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   64.81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   81.9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   9.23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   23.37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   37.13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   13.12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   12.14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   14.62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   62.91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   91.36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   91.33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   15.34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   34.36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   36.99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   99.3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   3.95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   95.69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   69.58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   58.52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   52.30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   30.50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   50.84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   84.10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   10.84.33.21.39.44.58.30.38.34.83.27.82.17.7   84.33.21.39.44.58.30.38.34.83.27.82.17.7   33.21.39.44.58.30.38.34.83.27.82.17.7   21.39.44.58.30.38.34.83.27.82.17.7   39.44.58.30.38.34.83.27.82.17.7   44.58.30.38.34.83.27.82.17.7   58.30.38.34.83.27.82.17.7   30.38.34.83.27.82.17.7   38.34.83.27.82.17.7   34.83.27.82.17.7   83.27.82.17.7   27.82.17.7   82.17.7   17.7   7   {}   {}   {}   {}}
+
+do_execsql_test 1.17.14.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {80.20.90.60.70.80.90.30.50.10.30   20.90.60.70.80.90.30.50.10.30   90.60.70.80.90.30.50.10.30   60.70.80.90.30.50.10.30   70.80.90.30.50.10.30   80.90.30.50.10.30   90.30.50.10.30   30.50.10.30   50.10.30   10.30   30   {}   {}   {}   {}   91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   81.41.61.1.21.11.51.41.31.31.11.81.91.91.21   41.61.1.21.11.51.41.31.31.11.81.91.91.21   61.1.21.11.51.41.31.31.11.81.91.91.21   1.21.11.51.41.31.31.11.81.91.91.21   21.11.51.41.31.31.11.81.91.91.21   11.51.41.31.31.11.81.91.91.21   51.41.31.31.11.81.91.91.21   41.31.31.11.81.91.91.21   31.31.11.81.91.91.21   31.11.81.91.91.21   11.81.91.91.21   81.91.91.21   91.91.21   91.21   21   {}   {}   {}   {}   22.42.2.72.12.22.2.72.72.12.62.52.82   42.2.72.12.22.2.72.72.12.62.52.82   2.72.12.22.2.72.72.12.62.52.82   72.12.22.2.72.72.12.62.52.82   12.22.2.72.72.12.62.52.82   22.2.72.72.12.62.52.82   2.72.72.12.62.52.82   72.72.12.62.52.82   72.12.62.52.82   12.62.52.82   62.52.82   52.82   82   {}   {}   {}   {}   93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   33.53.63.73.13.73.73.33.93.23.13.33.3.33.83   53.63.73.13.73.73.33.93.23.13.33.3.33.83   63.73.13.73.73.33.93.23.13.33.3.33.83   73.13.73.73.33.93.23.13.33.3.33.83   13.73.73.33.93.23.13.33.3.33.83   73.73.33.93.23.13.33.3.33.83   73.33.93.23.13.33.3.33.83   33.93.23.13.33.3.33.83   93.23.13.33.3.33.83   23.13.33.3.33.83   13.33.3.33.83   33.3.33.83   3.33.83   33.83   83   {}   {}   {}   {}   74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   4.94.84.74.34.34.44.74.64.14.34.84.84.44.34   94.84.74.34.34.44.74.64.14.34.84.84.44.34   84.74.34.34.44.74.64.14.34.84.84.44.34   74.34.34.44.74.64.14.34.84.84.44.34   34.34.44.74.64.14.34.84.84.44.34   34.44.74.64.14.34.84.84.44.34   44.74.64.14.34.84.84.44.34   74.64.14.34.84.84.44.34   64.14.34.84.84.44.34   14.34.84.84.44.34   34.84.84.44.34   84.84.44.34   84.44.34   44.34   34   {}   {}   {}   {}   55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   25.75.95.65.65.35.5.15.95.55.75.85.75.15.95   75.95.65.65.35.5.15.95.55.75.85.75.15.95   95.65.65.35.5.15.95.55.75.85.75.15.95   65.65.35.5.15.95.55.75.85.75.15.95   65.35.5.15.95.55.75.85.75.15.95   35.5.15.95.55.75.85.75.15.95   5.15.95.55.75.85.75.15.95   15.95.55.75.85.75.15.95   95.55.75.85.75.15.95   55.75.85.75.15.95   75.85.75.15.95   85.75.15.95   75.15.95   15.95   95   {}   {}   {}   {}   46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   86.56.56.56.16.36.76.96.96.26.26.36.66.36.36   56.56.56.16.36.76.96.96.26.26.36.66.36.36   56.56.16.36.76.96.96.26.26.36.66.36.36   56.16.36.76.96.96.26.26.36.66.36.36   16.36.76.96.96.26.26.36.66.36.36   36.76.96.96.26.26.36.66.36.36   76.96.96.26.26.36.66.36.36   96.96.26.26.36.66.36.36   96.26.26.36.66.36.36   26.26.36.66.36.36   26.36.66.36.36   36.66.36.36   66.36.36   36.36   36   {}   {}   {}   {}   77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   47.7.47.87.37.87.77.7.57.47.47.37.27.17.7   7.47.87.37.87.77.7.57.47.47.37.27.17.7   47.87.37.87.77.7.57.47.47.37.27.17.7   87.37.87.77.7.57.47.47.37.27.17.7   37.87.77.7.57.47.47.37.27.17.7   87.77.7.57.47.47.37.27.17.7   77.7.57.47.47.37.27.17.7   7.57.47.47.37.27.17.7   57.47.47.37.27.17.7   47.47.37.27.17.7   47.37.27.17.7   37.27.17.7   27.17.7   17.7   7   {}   {}   {}   {}   28.98.78.58.98.8.88.8.58.58.58.38   98.78.58.98.8.88.8.58.58.58.38   78.58.98.8.88.8.58.58.58.38   58.98.8.88.8.58.58.58.38   98.8.88.8.58.58.58.38   8.88.8.58.58.58.38   88.8.58.58.58.38   8.58.58.58.38   58.58.58.38   58.58.38   58.38   38   {}   {}   {}   {}   99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.9.79.49.59.29.59.19.39.9.9.99.69.39   9.79.49.59.29.59.19.39.9.9.99.69.39   79.49.59.29.59.19.39.9.9.99.69.39   49.59.29.59.19.39.9.9.99.69.39   59.29.59.19.39.9.9.99.69.39   29.59.19.39.9.9.99.69.39   59.19.39.9.9.99.69.39   19.39.9.9.99.69.39   39.9.9.99.69.39   9.9.99.69.39   9.99.69.39   99.69.39   69.39   39   {}   {}   {}   {}}
+
+do_execsql_test 1.17.14.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {2.2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   2.3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   3.3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   3.4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   4.5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   5.6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   6.7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   7.8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   8.9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   9.10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   10.11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   11.11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   11.12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   12.13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   13.13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   13.14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   14.15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   15.16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   16.17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   17.19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   19.20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   20.21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   21.21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   21.22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   22.22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   22.23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   23.24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   24.25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   25.26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   26.27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   27.27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   27.28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   28.29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   29.30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   30.31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   31.31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   31.32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   32.33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   33.34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   34.35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   35.35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   35.36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   36.36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   36.36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   36.36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   36.37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   37.37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   37.38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   38.38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   38.39.39.39.40.41.41.41.42.43.43.44.44.46.46.47.47.47.47.49.50.51.52.53.54.55.55.56.56.56.57.58.58.58.58.59.59.59.59.60.61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   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61.61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   61.62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   62.62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   62.63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   63.64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   64.65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   65.65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   65.65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   65.66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   66.67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   67.68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   68.69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   69.70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   70.72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   72.72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   72.72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   72.73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   73.73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   73.73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   73.74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   74.75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   75.75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   75.75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   75.76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   76.77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   77.77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   77.78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   78.78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   78.79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   79.80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   80.80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   80.81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   81.82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   82.83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   83.84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   84.85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   85.86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   86.87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   87.87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   87.88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   88.89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   89.90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   90.91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   91.93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   93.94.95.95.95.96.96.96.97.97.98.98.99.99.99   94.95.95.95.96.96.96.97.97.98.98.99.99.99   95.95.95.96.96.96.97.97.98.98.99.99.99   95.95.96.96.96.97.97.98.98.99.99.99   95.96.96.96.97.97.98.98.99.99.99   96.96.96.97.97.98.98.99.99.99   96.96.97.97.98.98.99.99.99   96.97.97.98.98.99.99.99   97.97.98.98.99.99.99   97.98.98.99.99.99   98.98.99.99.99   98.99.99.99   99.99.99   99.99   99   {}   {}   {}   {}}
+
+do_execsql_test 1.17.14.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( PARTITION BY b%10 ORDER BY b,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {30.30.40.50.60.70.80.80.90.90.90   30.40.50.60.70.80.80.90.90.90   40.50.60.70.80.80.90.90.90   50.60.70.80.80.90.90.90   60.70.80.80.90.90.90   70.80.80.90.90.90   80.80.90.90.90   80.90.90.90   90.90.90   90.90   90   {}   {}   {}   {}   21.21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   21.31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   31.31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   31.41.41.41.51.61.61.81.81.81.91.91.91.91.91   41.41.41.51.61.61.81.81.81.91.91.91.91.91   41.41.51.61.61.81.81.81.91.91.91.91.91   41.51.61.61.81.81.81.91.91.91.91.91   51.61.61.81.81.81.91.91.91.91.91   61.61.81.81.81.91.91.91.91.91   61.81.81.81.91.91.91.91.91   81.81.81.91.91.91.91.91   81.81.91.91.91.91.91   81.91.91.91.91.91   91.91.91.91.91   91.91.91.91   91.91.91   91.91   91   {}   {}   {}   {}   12.12.22.22.32.42.52.62.62.72.72.72.82   12.22.22.32.42.52.62.62.72.72.72.82   22.22.32.42.52.62.62.72.72.72.82   22.32.42.52.62.62.72.72.72.82   32.42.52.62.62.72.72.72.82   42.52.62.62.72.72.72.82   52.62.62.72.72.72.82   62.62.72.72.72.82   62.72.72.72.82   72.72.72.82   72.72.82   72.82   82   {}   {}   {}   {}   23.23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   23.33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.33.43.43.53.63.73.73.73.83.93.93.93   33.33.43.43.53.63.73.73.73.83.93.93.93   33.43.43.53.63.73.73.73.83.93.93.93   43.43.53.63.73.73.73.83.93.93.93   43.53.63.73.73.73.83.93.93.93   53.63.73.73.73.83.93.93.93   63.73.73.73.83.93.93.93   73.73.73.83.93.93.93   73.73.83.93.93.93   73.83.93.93.93   83.93.93.93   93.93.93   93.93   93   {}   {}   {}   {}   34.34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   34.44.44.54.64.74.74.74.74.74.84.84.84.84.94   44.44.54.64.74.74.74.74.74.84.84.84.84.94   44.54.64.74.74.74.74.74.84.84.84.84.94   54.64.74.74.74.74.74.84.84.84.84.94   64.74.74.74.74.74.84.84.84.84.94   74.74.74.74.74.84.84.84.84.94   74.74.74.74.84.84.84.84.94   74.74.74.84.84.84.84.94   74.74.84.84.84.84.94   74.84.84.84.84.94   84.84.84.84.94   84.84.84.94   84.84.94   84.94   94   {}   {}   {}   {}   25.35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   35.35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   35.55.55.65.65.65.75.75.75.85.85.85.95.95.95   55.55.65.65.65.75.75.75.85.85.85.95.95.95   55.65.65.65.75.75.75.85.85.85.95.95.95   65.65.65.75.75.75.85.85.85.95.95.95   65.65.75.75.75.85.85.85.95.95.95   65.75.75.75.85.85.85.95.95.95   75.75.75.85.85.85.95.95.95   75.75.85.85.85.95.95.95   75.85.85.85.95.95.95   85.85.85.95.95.95   85.85.95.95.95   85.95.95.95   95.95.95   95.95   95   {}   {}   {}   {}   26.26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   26.36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.36.46.46.56.56.56.66.76.86.96.96.96   36.36.46.46.56.56.56.66.76.86.96.96.96   36.46.46.56.56.56.66.76.86.96.96.96   46.46.56.56.56.66.76.86.96.96.96   46.56.56.56.66.76.86.96.96.96   56.56.56.66.76.86.96.96.96   56.56.66.76.86.96.96.96   56.66.76.86.96.96.96   66.76.86.96.96.96   76.86.96.96.96   86.96.96.96   96.96.96   96.96   96   {}   {}   {}   {}   27.27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   27.37.37.47.47.47.47.57.67.77.77.87.87.97.97   37.37.47.47.47.47.57.67.77.77.87.87.97.97   37.47.47.47.47.57.67.77.77.87.87.97.97   47.47.47.47.57.67.77.77.87.87.97.97   47.47.47.57.67.77.77.87.87.97.97   47.47.57.67.77.77.87.87.97.97   47.57.67.77.77.87.87.97.97   57.67.77.77.87.87.97.97   67.77.77.87.87.97.97   77.77.87.87.97.97   77.87.87.97.97   87.87.97.97   87.97.97   97.97   97   {}   {}   {}   {}   38.38.58.58.58.58.68.78.78.88.98.98   38.58.58.58.58.68.78.78.88.98.98   58.58.58.58.68.78.78.88.98.98   58.58.58.68.78.78.88.98.98   58.58.68.78.78.88.98.98   58.68.78.78.88.98.98   68.78.78.88.98.98   78.78.88.98.98   78.88.98.98   88.98.98   98.98   98   {}   {}   {}   {}   29.29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   29.39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.39.49.59.59.59.59.69.79.89.89.89.99.99.99   39.49.59.59.59.59.69.79.89.89.89.99.99.99   49.59.59.59.59.69.79.89.89.89.99.99.99   59.59.59.59.69.79.89.89.89.99.99.99   59.59.59.69.79.89.89.89.99.99.99   59.59.69.79.89.89.89.99.99.99   59.69.79.89.89.89.99.99.99   69.79.89.89.89.99.99.99   79.89.89.89.99.99.99   89.89.89.99.99.99   89.89.99.99.99   89.99.99.99   99.99.99   99.99   99   {}   {}   {}   {}}
+
+do_execsql_test 1.17.14.5 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER ( ORDER BY b%10,a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {80.20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   20.90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   60.70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   70.80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   80.90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   90.30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   50.10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   10.30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   30.41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   61.91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   1.81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   61.1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   1.21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   21.11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   11.51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   51.41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   41.31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   31.31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   31.11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   11.81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   81.91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   91.21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   21.2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   62.12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   32.22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   22.42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   42.2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   22.2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   2.72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   72.12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   12.62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   62.52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   52.82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   82.23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   43.3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   3.43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   43.33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   53.63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   63.73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   13.73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   73.33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   93.23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   23.13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   13.33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   3.33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   33.83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   83.74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   54.84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   24.4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   4.94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   94.84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   44.74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   74.64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   64.14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   14.34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   84.44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   44.34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   34.65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   35.85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   85.85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   85.55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   55.15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   15.25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   25.75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   95.65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   65.35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   35.5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   5.15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   15.95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   95.55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   55.75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   85.75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   75.15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   15.95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   95.26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   26.96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   96.46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   46.6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   6.46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   46.16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   16.16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   16.86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   86.56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   56.56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   56.56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   56.16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   16.36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   76.96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   96.96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   96.26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   26.26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   26.36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   66.36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   36.97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   97.27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   27.97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   97.67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   67.77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   77.47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   87.37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   37.87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   87.77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   77.7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   57.47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   47.37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   37.27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   27.17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   17.7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   7.38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   38.68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   68.78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   78.8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   28.98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   98.78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   78.58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   98.8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   88.8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   8.58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   58.38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   38.99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   39.99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   99.29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   59.89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   89.29.9.79.49.59.29.59.19.39.9.9.99.69.39   29.9.79.49.59.29.59.19.39.9.9.99.69.39   9.79.49.59.29.59.19.39.9.9.99.69.39   79.49.59.29.59.19.39.9.9.99.69.39   49.59.29.59.19.39.9.9.99.69.39   59.29.59.19.39.9.9.99.69.39   29.59.19.39.9.9.99.69.39   59.19.39.9.9.99.69.39   19.39.9.9.99.69.39   39.9.9.99.69.39   9.9.99.69.39   9.99.69.39   99.69.39   69.39   39   {}   {}   {}   {}}
+
+do_execsql_test 1.17.14.6 {
+  SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 finish_test
diff --git a/test/window4.tcl b/test/window4.tcl
index 49506d4dbe..0b34fcdc8f 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -66,6 +66,12 @@ execsql_test 2.3.3 {
   SELECT a, lag(b, 3, 'abc') OVER (ORDER BY a) FROM t4
 }
 
+execsql_test 2.4.1 {
+  SELECT string_agg(b, '.') OVER (
+    ORDER BY a ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t4
+}
+
 execsql_test 3.0 {
   DROP TABLE IF EXISTS t5;
   CREATE TABLE t5(a INTEGER PRIMARY KEY, b TEXT, c TEXT, d INTEGER);
diff --git a/test/window4.test b/test/window4.test
index 506723431f..102f3d57e8 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -145,6 +145,12 @@ do_execsql_test 2.3.3 {
   SELECT a, lag(b, 3, 'abc') OVER (ORDER BY a) FROM t4
 } {1 abc   2 abc   3 abc   4 A   5 B   6 C   7 D   8 E   9 F   10 G}
 
+do_execsql_test 2.4.1 {
+  SELECT group_concat(b, '.') OVER (
+    ORDER BY a ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM t4
+} {A.B.C.D.E.F.G.H.I.J   B.C.D.E.F.G.H.I.J   C.D.E.F.G.H.I.J   D.E.F.G.H.I.J   E.F.G.H.I.J   F.G.H.I.J   G.H.I.J   H.I.J   I.J   J}
+
 do_execsql_test 3.0 {
   DROP TABLE IF EXISTS t5;
   CREATE TABLE t5(a INTEGER PRIMARY KEY, b TEXT, c TEXT, d INTEGER);

From dacf1de95c75ffdaf01537a21666a270e29a670c Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 8 Jun 2018 16:11:55 +0000
Subject: [PATCH 039/154] Do not flatten sub-queries that contain window
 functions.

FossilOrigin-Name: 236cb75bd1f0d5eb86aa5f52d8d548e7263c34633833dcea9dfc934f142113b8
---
 manifest          | 20 ++++++++++----------
 manifest.uuid     |  2 +-
 src/expr.c        | 20 +-------------------
 src/select.c      | 22 +++++++---------------
 src/sqliteInt.h   |  3 ++-
 src/window.c      | 27 +++++++++++++++++++++++----
 test/window1.test | 19 +++++++++++++++++++
 7 files changed, 63 insertions(+), 50 deletions(-)

diff --git a/manifest b/manifest
index 557ebd3719..5f63042a2b 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fixes\sto\sallow\sgroup_concat()\sto\sbe\sused\sas\sa\swindow\sfunction.
-D 2018-06-08T11:45:28.408
+C Do\snot\sflatten\ssub-queries\sthat\scontain\swindow\sfunctions.
+D 2018-06-08T16:11:55.013
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -447,7 +447,7 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 4aa7f26198934dbd002e69418220eae3dbc71b010bbac32bd78faf86b52ce6c3
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
-F src/expr.c 7c8880478dfacabff1c3e405fa11dc37e1e244a81bf6d175faecf36adb705ef0
+F src/expr.c 587b4bc88f2b3b77563166e9058c191098c91f28770a40240d96c0ca74fcd050
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
 F src/func.c 3e8a85f9bfc9117964523a5e17bdbc4b0b9d707830871cbc1dc44b9b538d5d82
@@ -495,12 +495,12 @@ F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 172f4c514b41dabc00cf5ada72f6de6f897881d50de5fd33a94f3d1e5c36dafc
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 3e7d9bc70fa6baebd6e34cce5ec79879ff1dd4caec0fd05f45fd87b25e53d2b8
+F src/select.c d48879c0a2acb79ed0db384074caef9002902765f2b35a74a7b8f403332f4b1a
 F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf9
 F src/sqlite.h.in 63b07f76731f2b1e55c48fdb9f0508dcc6fbe3971010b8612ffd847c3c56d9a1
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 94322676f8b66faaeb21ad9bb2b60585ef72320b8e3c5df6f307a06dd231c62a
+F src/sqliteInt.h 72c13b9833611dfcbb62314f96b2c9343e6dfbbe6d156365609fed82ca4d17f0
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -583,7 +583,7 @@ F src/where.c 7dcb13bbcfd8c926546946556014c8f5aa0829eb8b65a6c18f8d187d265200a5
 F src/whereInt.h b09753e74bf92a8b17cf0e41ca94c44432c454544be6699b5311dcc57bf229c6
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 4a476f74f11eb02447fa51ef9465c13d1e888b839441d4aa8c742234df8afb48
+F src/window.c 141a79da0fac93514a4c3f2530e52d22cb74622daf08fb9023668133ad4e285c
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1617,7 +1617,7 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 905fe0842eacfd61e2f30ef7b0a84a7325ffa5cbbcd717ca30f25a142c3bca90
+F test/window1.test 4561399c91f892279fef028e44133f2c73b8eb22dc788afee508563bb7ad1cdc
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl f2596e9d6bf8d4441eb7a0d3272594185c3b56e8d2413a54b12e6e7557517674
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 251022034219819a1dc356542770ff46e3147a080f072eb20af6106771dadd92
-R 71ea60b8da4fc9afa69db85d8c7f3e3f
+P 89bbc9ba8f66853a7530453f146c9df1baacd8558468016cefa7602911f7578a
+R dccf8398447f81129241381719cad17d
 U dan
-Z 1cc277689f8095fe42a1da64c8288583
+Z 5f65d7a3a3ae3236c28a203eff6b68d3
diff --git a/manifest.uuid b/manifest.uuid
index 4abb1ee714..6a827c374a 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-89bbc9ba8f66853a7530453f146c9df1baacd8558468016cefa7602911f7578a
\ No newline at end of file
+236cb75bd1f0d5eb86aa5f52d8d548e7263c34633833dcea9dfc934f142113b8
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index 54e9ced006..af4201edf7 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -1182,24 +1182,6 @@ static int dupedExprSize(Expr *p, int flags){
   return nByte;
 }
 
-static Window *winDup(sqlite3 *db, Window *p){
-  Window *pNew = 0;
-  if( p ){
-    pNew = sqlite3DbMallocZero(db, sizeof(Window));
-    if( pNew ){
-      pNew->pFilter = sqlite3ExprDup(db, p->pFilter, 0);
-      pNew->pPartition = sqlite3ExprListDup(db, p->pPartition, 0);
-      pNew->pOrderBy = sqlite3ExprListDup(db, p->pOrderBy, 0);
-      pNew->eType = p->eType;
-      pNew->eEnd = p->eEnd;
-      pNew->eStart = p->eStart;
-      pNew->pStart = sqlite3ExprDup(db, pNew->pStart, 0);
-      pNew->pEnd = sqlite3ExprDup(db, pNew->pEnd, 0);
-    }
-  }
-  return pNew;
-}
-
 /*
 ** This function is similar to sqlite3ExprDup(), except that if pzBuffer 
 ** is not NULL then *pzBuffer is assumed to point to a buffer large enough 
@@ -1289,7 +1271,7 @@ static Expr *exprDup(sqlite3 *db, Expr *p, int dupFlags, u8 **pzBuffer){
       if( ExprHasProperty(p, EP_Reduced|EP_TokenOnly) ){
         pNew->pWin = 0;
       }else{
-        pNew->pWin = winDup(db, p->pWin);
+        pNew->pWin = sqlite3WindowDup(db, p->pWin);
       }
       if( !ExprHasProperty(p, EP_TokenOnly|EP_Leaf) ){
         if( pNew->op==TK_SELECT_COLUMN ){
diff --git a/src/select.c b/src/select.c
index 5e99c949a6..fcafe742d7 100644
--- a/src/select.c
+++ b/src/select.c
@@ -3712,7 +3712,7 @@ static int flattenSubquery(
   pSub = pSubitem->pSelect;
   assert( pSub!=0 );
 
-  if( p->pWin ) return 0;
+  if( p->pWin || pSub->pWin ) return 0;
 
   pSubSrc = pSub->pSrc;
   assert( pSubSrc );
@@ -5898,26 +5898,18 @@ int sqlite3Select(
     assert( p->pEList==pEList );
     if( pWin ){
       int addrGosub = sqlite3VdbeMakeLabel(v);
+      int iCont = sqlite3VdbeMakeLabel(v);
       int regGosub = ++pParse->nMem;
       int addr = 0;
-      int bLoop = 0;
 
-      sqlite3WindowCodeStep(pParse, p, pWInfo, regGosub, addrGosub, &bLoop);
+      sqlite3WindowCodeStep(pParse, p, pWInfo, regGosub, addrGosub);
 
-      sqlite3VdbeAddOp0(v, OP_Goto);
+      addr = sqlite3VdbeAddOp0(v, OP_Goto);
       sqlite3VdbeResolveLabel(v, addrGosub);
-      if( bLoop ){
-        addr = sqlite3VdbeAddOp1(v, OP_Rewind, pWin->iEphCsr);
-      }else{
-        addr = sqlite3VdbeCurrentAddr(v);
-      }
-      selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest, addr+1, 0);
-      if( bLoop ){
-        sqlite3VdbeAddOp2(v, OP_Next, pWin->iEphCsr, addr+1);
-        sqlite3VdbeJumpHere(v, addr);
-      }
+      selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest, iCont, 0);
+      sqlite3VdbeResolveLabel(v, iCont);
       sqlite3VdbeAddOp1(v, OP_Return, regGosub);
-      sqlite3VdbeJumpHere(v, addr-1);       /* OP_Goto jumps here */
+      sqlite3VdbeJumpHere(v, addr);
 
     }else{
       /* Use the standard inner loop. */
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index d69b569f6e..d2b7730888 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -3502,10 +3502,11 @@ Window *sqlite3WindowAlloc(Parse*, int, int, Expr*, int , Expr*);
 void sqlite3WindowAttach(Parse*, Expr*, Window*);
 int sqlite3WindowCompare(Parse*, Window*, Window*);
 void sqlite3WindowCodeInit(Parse*, Window*);
-void sqlite3WindowCodeStep(Parse*, Select*, WhereInfo*, int, int, int*);
+void sqlite3WindowCodeStep(Parse*, Select*, WhereInfo*, int, int);
 int sqlite3WindowRewrite(Parse*, Select*);
 int sqlite3ExpandSubquery(Parse*, struct SrcList_item*);
 void sqlite3WindowUpdate(Parse*, Window*, FuncDef*);
+Window *sqlite3WindowDup(sqlite3 *db, Window *p);
 
 /*
 ** Assuming zIn points to the first byte of a UTF-8 character,
diff --git a/src/window.c b/src/window.c
index 2690747175..d2b6e23a64 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1560,7 +1560,10 @@ static void windowCodeDefaultStep(
       if( addrGoto ) sqlite3VdbeJumpHere(v, addrGoto);
     }
 
+    sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr,sqlite3VdbeCurrentAddr(v)+3);
     sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+    sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)-1);
+
     sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
     sqlite3VdbeAddOp3(
         v, OP_Copy, reg+pMWin->nBufferCol, pMWin->regPart, nPart+nPeer-1
@@ -1586,9 +1589,28 @@ static void windowCodeDefaultStep(
   sqlite3WhereEnd(pWInfo);
 
   windowAggFinal(pParse, pMWin, 1);
+  sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr,sqlite3VdbeCurrentAddr(v)+3);
   sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
+  sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)-1);
 }
 
+Window *sqlite3WindowDup(sqlite3 *db, Window *p){
+  Window *pNew = 0;
+  if( p ){
+    pNew = sqlite3DbMallocZero(db, sizeof(Window));
+    if( pNew ){
+      pNew->pFilter = sqlite3ExprDup(db, p->pFilter, 0);
+      pNew->pPartition = sqlite3ExprListDup(db, p->pPartition, 0);
+      pNew->pOrderBy = sqlite3ExprListDup(db, p->pOrderBy, 0);
+      pNew->eType = p->eType;
+      pNew->eEnd = p->eEnd;
+      pNew->eStart = p->eStart;
+      pNew->pStart = sqlite3ExprDup(db, pNew->pStart, 0);
+      pNew->pEnd = sqlite3ExprDup(db, pNew->pEnd, 0);
+    }
+  }
+  return pNew;
+}
 
 /*
 ** RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
@@ -1649,13 +1671,11 @@ void sqlite3WindowCodeStep(
   Select *p,
   WhereInfo *pWInfo,
   int regGosub, 
-  int addrGosub,
-  int *pbLoop
+  int addrGosub
 ){
   Window *pMWin = p->pWin;
   Window *pWin;
 
-  *pbLoop = 0;
   if( (pMWin->eType==TK_ROWS 
    && (pMWin->eStart!=TK_UNBOUNDED||pMWin->eEnd!=TK_CURRENT||!pMWin->pOrderBy))
    || (pMWin->eStart==TK_CURRENT&&pMWin->eEnd==TK_UNBOUNDED&&pMWin->pOrderBy)
@@ -1677,7 +1697,6 @@ void sqlite3WindowCodeStep(
     }
   }
 
-  *pbLoop = 1;
   windowCodeDefaultStep(pParse, p, pWInfo, regGosub, addrGosub);
 }
 
diff --git a/test/window1.test b/test/window1.test
index a159fdaeba..93db98a72f 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -195,5 +195,24 @@ do_execsql_test 5.4 {
   SELECT ntile(1) OVER (ORDER BY a) FROM t4;
 } {}
 
+#-------------------------------------------------------------------------
+reset_db
+do_execsql_test 6.1 {
+  CREATE TABLE t1(x);
+  INSERT INTO t1 VALUES(7), (6), (5), (4), (3), (2), (1);
+
+  CREATE TABLE t2(x);
+  INSERT INTO t2 VALUES('b'), ('a');
+
+  SELECT x, count(*) OVER (ORDER BY x) FROM t1;
+} {1 1 2 2 3 3 4 4 5 5 6 6 7 7}
+
+do_execsql_test 6.2 {
+  SELECT * FROM t2, (SELECT x, count(*) OVER (ORDER BY x) FROM t1);
+} {
+  b 1 1 b 2 2 b 3 3 b 4 4 b 5 5 b 6 6 b 7 7
+  a 1 1 a 2 2 a 3 3 a 4 4 a 5 5 a 6 6 a 7 7
+}
+
 
 finish_test

From da4c409aea3ccd9cc30219a67ddb3677d0d4521f Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Fri, 8 Jun 2018 18:22:10 +0000
Subject: [PATCH 040/154] Consider doing a partial table scan to fulfill an IN
 operator rather than using an index.  Try to pick the plan with the lowest
 cost.

FossilOrigin-Name: 1fa40a78fef4516c39b217bff67efe7e7d2077cca00aae0ef5c2c9cff94f008b
---
 manifest      | 16 +++++++++-------
 manifest.uuid |  2 +-
 src/where.c   | 32 +++++++++++++++++++++++++++++++-
 3 files changed, 41 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index f31ac5a47b..d068879da9 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C The\sIN-early-out\soptimization:\s\sWhen\sdoing\sa\slook-up\son\sa\smulti-column\sindex\nand\san\sIN\soperator\sis\sused\son\sa\scolumn\sother\sthan\sthe\sleft-most\scolumn,\sthen\nif\sno\srows\smatch\sagainst\sthe\sfirst\sIN\svalue,\scheck\sto\smake\ssure\sthere\sexist\nrows\sthat\smatch\sthe\scolumns\sto\sthe\sright\sbefore\scontinuing\swith\sthe\snext\sIN\nvalue.
-D 2018-06-07T18:13:49.091
+C Consider\sdoing\sa\spartial\stable\sscan\sto\sfulfill\san\sIN\soperator\srather\nthan\susing\san\sindex.\s\sTry\sto\spick\sthe\splan\swith\sthe\slowest\scost.
+D 2018-06-08T18:22:10.089
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -579,7 +579,7 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c 7dcb13bbcfd8c926546946556014c8f5aa0829eb8b65a6c18f8d187d265200a5
+F src/where.c 8e95858b398f7451c30ed05dd372f39767f04f423fa1d15a19d568268ae9a557
 F src/whereInt.h b09753e74bf92a8b17cf0e41ca94c44432c454544be6699b5311dcc57bf229c6
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
@@ -1731,8 +1731,10 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P bb87c054b1b76959e46258ac66b24027f468b390a4148ac67f208a1fbeda4060 4b0b4e14039469b656662312a5f80f086ede293e9ad04c7bc99a202b683a1e55
-R fe7d026f8be3134e2723fc39eeec5ed5
-T +closed 4b0b4e14039469b656662312a5f80f086ede293e9ad04c7bc99a202b683a1e55
+P 09fffbdf9f2f6ce31a22d5a6df7a45f19a16628da622f12d6e33171cce09fb21
+R e63ef1b65ea2f09e13127dc0f6a98d71
+T *branch * in-scan-vs-index
+T *sym-in-scan-vs-index *
+T -sym-trunk *
 U drh
-Z 8a623af2a2288d1935dd9b3507daa5d8
+Z f877a3ca3a67b98847cd7a3f31dd6a75
diff --git a/manifest.uuid b/manifest.uuid
index 9bc93f1fe0..6f59a009e5 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-09fffbdf9f2f6ce31a22d5a6df7a45f19a16628da622f12d6e33171cce09fb21
\ No newline at end of file
+1fa40a78fef4516c39b217bff67efe7e7d2077cca00aae0ef5c2c9cff94f008b
\ No newline at end of file
diff --git a/src/where.c b/src/where.c
index 10cb138143..9acfbcf568 100644
--- a/src/where.c
+++ b/src/where.c
@@ -2451,7 +2451,7 @@ static int whereLoopAddBtreeIndex(
 
     if( eOp & WO_IN ){
       Expr *pExpr = pTerm->pExpr;
-      pNew->wsFlags |= WHERE_COLUMN_IN;
+      LogEst M, logK;
       if( ExprHasProperty(pExpr, EP_xIsSelect) ){
         /* "x IN (SELECT ...)":  TUNING: the SELECT returns 25 rows */
         int i;
@@ -2471,6 +2471,36 @@ static int whereLoopAddBtreeIndex(
         assert( nIn>0 );  /* RHS always has 2 or more terms...  The parser
                           ** changes "x IN (?)" into "x=?". */
       }
+      /* Let:
+      **   N = the total number of rows in the table
+      **   K = the number of entries on the right-hand side of the IN operator
+      **   M = the number of rows in the table that match terms to the 
+      **       to the left in the same index.  If the IN operator is on
+      **       the left-most index column, M==N.
+      **
+      ** Given the definitions above, it is better to omit the IN operator
+      ** from the index lookup and instead do a scan of the M elements,
+      ** testing each scanned row against the IN operator separately, if:
+      **
+      **        M*log(K) < K*log(N)
+      **
+      ** Our estimates for M, K, and N might be inaccurate, so we build in
+      ** a safety margin of 2 (LogEst: 10) that favors using the IN operator
+      ** with the index, as using an index has better worst-case behavior.
+      */
+      M = pProbe->aiRowLogEst[saved_nEq+1];
+      logK = sqlite3LogEst(nIn);
+      if( M + logK + 10 < nIn + rLogSize ){
+        WHERETRACE(0x40,
+          ("IN operator costs more than scan on column %d of \"%s\" (%d<%d)\n",
+           saved_nEq, pProbe->zName, M+logK+10, nIn+rLogSize));
+        continue;
+      }else{
+        WHERETRACE(0x40,
+          ("IN operator cheaper than scan on column %d of \"%s\" (%d>=%d)\n",
+           saved_nEq, pProbe->zName, M+logK+10, nIn+rLogSize));
+      }
+      pNew->wsFlags |= WHERE_COLUMN_IN;
     }else if( eOp & (WO_EQ|WO_IS) ){
       int iCol = pProbe->aiColumn[saved_nEq];
       pNew->wsFlags |= WHERE_COLUMN_EQ;

From f3cd0c82dfc744e446203c89c7152380f85da5d5 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Fri, 8 Jun 2018 19:13:57 +0000
Subject: [PATCH 041/154] Fix an assert() that can be false for a corrupt
 database and a strange query that uses a recursive SQL function to delete
 content from a corrupt database file while it is being queried.

FossilOrigin-Name: 99057383acc8f92093530e216c621d40386a06fe98131ff0af6df524d80a6410
---
 manifest      | 13 ++++++-------
 manifest.uuid |  2 +-
 src/btree.c   | 11 ++++++++++-
 3 files changed, 17 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index f31ac5a47b..c8299d9c0d 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C The\sIN-early-out\soptimization:\s\sWhen\sdoing\sa\slook-up\son\sa\smulti-column\sindex\nand\san\sIN\soperator\sis\sused\son\sa\scolumn\sother\sthan\sthe\sleft-most\scolumn,\sthen\nif\sno\srows\smatch\sagainst\sthe\sfirst\sIN\svalue,\scheck\sto\smake\ssure\sthere\sexist\nrows\sthat\smatch\sthe\scolumns\sto\sthe\sright\sbefore\scontinuing\swith\sthe\snext\sIN\nvalue.
-D 2018-06-07T18:13:49.091
+C Fix\san\sassert()\sthat\scan\sbe\sfalse\sfor\sa\scorrupt\sdatabase\sand\sa\sstrange\squery\nthat\suses\sa\srecursive\sSQL\sfunction\sto\sdelete\scontent\sfrom\sa\scorrupt\sdatabase\nfile\swhile\sit\sis\sbeing\squeried.
+D 2018-06-08T19:13:57.914
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -436,7 +436,7 @@ F src/auth.c a38f3c63c974787ecf75e3213f8cac6568b9a7af7591fb0372ec0517dd16dca8
 F src/backup.c 78d3cecfbe28230a3a9a1793e2ead609f469be43e8f486ca996006be551857ab
 F src/bitvec.c 17ea48eff8ba979f1f5b04cc484c7bb2be632f33
 F src/btmutex.c 8acc2f464ee76324bf13310df5692a262b801808984c1b79defb2503bbafadb6
-F src/btree.c ae7687faa330562d36cede3375fdc316bff068e9216322d0dfbb3749333e5d3d
+F src/btree.c 06690f5ad144c5e69dfb68d5ec8ee4819c6d40f4b8bc77aa97975938f59d928c
 F src/btree.h ab639c4b9b210b8f4cd7a3a922af73df9a3f27c1d124267339fd73ef8619f488
 F src/btreeInt.h 620ab4c7235f43572cf3ac2ac8723cbdf68073be4d29da24897c7b77dda5fd96
 F src/build.c 5fc41458505331bfb0c175f40b9a13cb335f826bed3ae311aaae000c132d7b16
@@ -1731,8 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P bb87c054b1b76959e46258ac66b24027f468b390a4148ac67f208a1fbeda4060 4b0b4e14039469b656662312a5f80f086ede293e9ad04c7bc99a202b683a1e55
-R fe7d026f8be3134e2723fc39eeec5ed5
-T +closed 4b0b4e14039469b656662312a5f80f086ede293e9ad04c7bc99a202b683a1e55
+P 09fffbdf9f2f6ce31a22d5a6df7a45f19a16628da622f12d6e33171cce09fb21
+R e90ea8c0bc9f17fa862de55346ad01f3
 U drh
-Z 8a623af2a2288d1935dd9b3507daa5d8
+Z dc7dec1a328a3fd8e94df605e9d025f7
diff --git a/manifest.uuid b/manifest.uuid
index 9bc93f1fe0..715434fba3 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-09fffbdf9f2f6ce31a22d5a6df7a45f19a16628da622f12d6e33171cce09fb21
\ No newline at end of file
+99057383acc8f92093530e216c621d40386a06fe98131ff0af6df524d80a6410
\ No newline at end of file
diff --git a/src/btree.c b/src/btree.c
index 80b05d36cd..a17fbbf539 100644
--- a/src/btree.c
+++ b/src/btree.c
@@ -5589,7 +5589,16 @@ static SQLITE_NOINLINE int btreeNext(BtCursor *pCur){
 
   pPage = pCur->pPage;
   idx = ++pCur->ix;
-  assert( pPage->isInit );
+  if( !pPage->isInit ){
+    /* The only known way for this to happen is for there to be a
+    ** recursive SQL function that does a DELETE operation as part of a
+    ** SELECT which deletes content out from under an active cursor
+    ** in a corrupt database file where the table being DELETE-ed from
+    ** has pages in common with the table being queried.  See TH3
+    ** module cov1/btree78.test testcase 220 (2018-06-08) for an
+    ** example. */
+    return SQLITE_CORRUPT_BKPT;
+  }
 
   /* If the database file is corrupt, it is possible for the value of idx 
   ** to be invalid here. This can only occur if a second cursor modifies

From e3bf632cc297f710c5c74412118ebb240824646d Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 8 Jun 2018 20:58:27 +0000
Subject: [PATCH 042/154] Add support for the WINDOW clause.

FossilOrigin-Name: 19c983b511f1c823fdfb051713681b4c779f02fa83b41189afca0a9b8b72048d
---
 manifest             | 30 +++++++++++------------
 manifest.uuid        |  2 +-
 src/expr.c           |  1 +
 src/func.c           |  3 ++-
 src/parse.y          | 58 ++++++++++++++++++++++++++++++++++++++------
 src/resolve.c        | 15 ++++++------
 src/select.c         |  4 +++
 src/sqliteInt.h      | 15 ++++++++----
 src/window.c         | 32 +++++++++++++++++++++++-
 test/window4.tcl     |  7 ++++++
 test/window4.test    |  7 ++++++
 tool/mkkeywordhash.c |  1 +
 12 files changed, 136 insertions(+), 39 deletions(-)

diff --git a/manifest b/manifest
index 5f63042a2b..5205165f43 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Do\snot\sflatten\ssub-queries\sthat\scontain\swindow\sfunctions.
-D 2018-06-08T16:11:55.013
+C Add\ssupport\sfor\sthe\sWINDOW\sclause.
+D 2018-06-08T20:58:27.833
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -447,10 +447,10 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 4aa7f26198934dbd002e69418220eae3dbc71b010bbac32bd78faf86b52ce6c3
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
-F src/expr.c 587b4bc88f2b3b77563166e9058c191098c91f28770a40240d96c0ca74fcd050
+F src/expr.c d6db67ebe0597f87381827513ae168b202956fca35add953e294afc80fa41675
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c 3e8a85f9bfc9117964523a5e17bdbc4b0b9d707830871cbc1dc44b9b538d5d82
+F src/func.c a5ee3864264edea8fea4d2dfdf8296250cff9139343953da78d82837241659a9
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 9eaa457cff322e0dd5f52e363eab0b73f11bcd35bdced58274dead597e1a3d6a
+F src/parse.y 788f41e7558278423931dd0fdb1a4fb4657f451371d2f2c4b1d11824484c419f
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -493,14 +493,14 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c e966ecc97c3671ff0e96227c8c877b83f2d33ea371ee190bbf1698b36b5605c0
 F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c 172f4c514b41dabc00cf5ada72f6de6f897881d50de5fd33a94f3d1e5c36dafc
+F src/resolve.c da9b85ec0e1a05384134cece5747a90b8da1fc5750f4705c7812d2294ca20cec
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c d48879c0a2acb79ed0db384074caef9002902765f2b35a74a7b8f403332f4b1a
+F src/select.c 0b0ce29bd7b8a7232e6f7602ddb447caa954a1fc476ff5e23ce1e5aaa6a0e0ed
 F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf9
 F src/sqlite.h.in 63b07f76731f2b1e55c48fdb9f0508dcc6fbe3971010b8612ffd847c3c56d9a1
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 72c13b9833611dfcbb62314f96b2c9343e6dfbbe6d156365609fed82ca4d17f0
+F src/sqliteInt.h 8cdd2f8c920cc7de683c27322d2f146079bc36ad267b63eaf9ee186ee58e287f
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -583,7 +583,7 @@ F src/where.c 7dcb13bbcfd8c926546946556014c8f5aa0829eb8b65a6c18f8d187d265200a5
 F src/whereInt.h b09753e74bf92a8b17cf0e41ca94c44432c454544be6699b5311dcc57bf229c6
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 141a79da0fac93514a4c3f2530e52d22cb74622daf08fb9023668133ad4e285c
+F src/window.c 31bd22def29a71144056ddd2a9c4344648c2b89f63a76e7695defdf7ed293216
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1622,8 +1622,8 @@ F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fb
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl f2596e9d6bf8d4441eb7a0d3272594185c3b56e8d2413a54b12e6e7557517674
 F test/window3.test e43a143131e19a27148215431cf7cec8815c32c7ec04f1cf79d068adff9be028
-F test/window4.tcl 9e5698ffb729676b88290a7048ae9bb9b0d31efe0b630e51f9ce796cca737f8c
-F test/window4.test 316bf0844fa4966488b3c9d2e69a360f5b4de87022ca44f5a96a62243d9db796
+F test/window4.tcl 2da10ad7a6eedc584c3faa551ff6d0a7f8cc18dee95416d05af389f88ef0ac1a
+F test/window4.test bef29a267ee9ac7ca421ef69ba37d19f7e93988f1c052cb09cbb946f309c5cbe
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1668,7 +1668,7 @@ F tool/max-limits.c cbb635fbb37ae4d05f240bfb5b5270bb63c54439
 F tool/mkautoconfamal.sh 422fc365358a2e92876ffc62971a0ff28ed472fc8bcf9de0df921c736fdeca5e
 F tool/mkccode.tcl 86463e68ce9c15d3041610fedd285ce32a5cf7a58fc88b3202b8b76837650dbe x
 F tool/mkctimec.tcl dd183b73ae1c28249669741c250525f0407e579a70482371668fd5f130d9feb3
-F tool/mkkeywordhash.c dd4d201d646dd4e236b93be17589e89a19b329a8840e559f91db3bdc361f3c39
+F tool/mkkeywordhash.c a0fd254852ac92ddea42ea04d1f41d50298590fc1121a815ddeb18f9b2af4193
 F tool/mkmsvcmin.tcl cad0c7b54d7dd92bc87d59f36d4cc4f070eb2e625f14159dc2f5c4204e6a13ea
 F tool/mkopcodec.tcl d1b6362bd3aa80d5520d4d6f3765badf01f6c43c
 F tool/mkopcodeh.tcl 17d1ccc05a926e19e3a9679ea3e4d1aaa15ba753e2fa7363e6e81c80e0ef8b86
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 89bbc9ba8f66853a7530453f146c9df1baacd8558468016cefa7602911f7578a
-R dccf8398447f81129241381719cad17d
+P 236cb75bd1f0d5eb86aa5f52d8d548e7263c34633833dcea9dfc934f142113b8
+R 42923cbfbd64d075a9e38b7b4b4b969d
 U dan
-Z 5f65d7a3a3ae3236c28a203eff6b68d3
+Z dee7bf2abe4eeccc35a23aee41391161
diff --git a/manifest.uuid b/manifest.uuid
index 6a827c374a..9c7373451d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-236cb75bd1f0d5eb86aa5f52d8d548e7263c34633833dcea9dfc934f142113b8
\ No newline at end of file
+19c983b511f1c823fdfb051713681b4c779f02fa83b41189afca0a9b8b72048d
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index af4201edf7..819a14bced 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -1480,6 +1480,7 @@ Select *sqlite3SelectDup(sqlite3 *db, Select *pDup, int flags){
     pNew->nSelectRow = p->nSelectRow;
     pNew->pWith = withDup(db, p->pWith);
     pNew->pWin = 0;
+    pNew->pWinDefn = 0;           /* TODO!! */
     sqlite3SelectSetName(pNew, p->zSelName);
     *pp = pNew;
     pp = &pNew->pPrior;
diff --git a/src/func.c b/src/func.c
index 62a545e3de..f9903095d2 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1665,7 +1665,7 @@ static void groupConcatStep(
 
   if( pAccum ){
     sqlite3 *db = sqlite3_context_db_handle(context);
-    int firstTerm = pAccum->nChar==0;
+    int firstTerm = pAccum->mxAlloc==0;
     pAccum->mxAlloc = db->aLimit[SQLITE_LIMIT_LENGTH];
     if( !firstTerm ){
       if( argc==2 ){
@@ -1703,6 +1703,7 @@ static void groupConcatInverse(
       pAccum->nChar -= n;
       memmove(pAccum->zText, &pAccum->zText[n], pAccum->nChar);
     }
+    if( pAccum->nChar==0 ) pAccum->mxAlloc = 0;
   }
 }
 static void groupConcatFinalize(sqlite3_context *context){
diff --git a/src/parse.y b/src/parse.y
index e52991d670..fa6064a14f 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -529,11 +529,13 @@ multiselect_op(A) ::= UNION ALL.             {A = TK_ALL;}
 multiselect_op(A) ::= EXCEPT|INTERSECT(OP).  {A = @OP; /*A-overwrites-OP*/}
 %endif SQLITE_OMIT_COMPOUND_SELECT
 oneselect(A) ::= SELECT(S) distinct(D) selcollist(W) from(X) where_opt(Y)
-                 groupby_opt(P) having_opt(Q) orderby_opt(Z) limit_opt(L). {
+                 groupby_opt(P) having_opt(Q) windowdefn_opt(R)
+                 orderby_opt(Z) limit_opt(L). {
 #if SELECTTRACE_ENABLED
   Token s = S; /*A-overwrites-S*/
 #endif
   A = sqlite3SelectNew(pParse,W,X,Y,P,Q,Z,D,L);
+  if( A ) A->pWinDefn = R;
 #if SELECTTRACE_ENABLED
   /* Populate the Select.zSelName[] string that is used to help with
   ** query planner debugging, to differentiate between multiple Select
@@ -1005,7 +1007,7 @@ expr(A) ::= CAST LP expr(E) AS typetoken(T) RP. {
   sqlite3ExprAttachSubtrees(pParse->db, A, E, 0);
 }
 %endif  SQLITE_OMIT_CAST
-expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP window(Z). {
+expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP over_opt(Z). {
   if( Y && Y->nExpr>pParse->db->aLimit[SQLITE_LIMIT_FUNCTION_ARG] ){
     sqlite3ErrorMsg(pParse, "too many arguments on function %T", &X);
   }
@@ -1015,7 +1017,7 @@ expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP window(Z). {
     A->flags |= EP_Distinct;
   }
 }
-expr(A) ::= id(X) LP STAR RP window(Z). {
+expr(A) ::= id(X) LP STAR RP over_opt(Z). {
   A = sqlite3ExprFunction(pParse, 0, &X);
   sqlite3WindowAttach(pParse, A, Z);
 }
@@ -1023,6 +1025,30 @@ term(A) ::= CTIME_KW(OP). {
   A = sqlite3ExprFunction(pParse, 0, &OP);
 }
 
+%type windowdefn_opt {Window*}
+%destructor windowdefn_opt {sqlite3WindowDelete(pParse->db, $$);}
+windowdefn_opt(A) ::= . { A = 0; }
+windowdefn_opt(A) ::= WINDOW windowdefn_list(B). { A = B; }
+
+%type windowdefn_list {Window*}
+%destructor windowdefn_list {sqlite3WindowDelete(pParse->db, $$);}
+windowdefn_list(A) ::= windowdefn(Z). { A = Z; }
+windowdefn_list(A) ::= windowdefn_list(Y) COMMA windowdefn(Z). {
+  if( Z ) Z->pNextWin = Y;
+  A = Z;
+}
+
+%type windowdefn {Window*}
+%destructor windowdefn {sqlite3WindowDelete(pParse->db, $$);}
+windowdefn(A) ::= nm(X) AS window(Y). {
+  if( Y ){
+    Y->zName = sqlite3DbStrNDup(pParse->db, X.z, X.n);
+  }
+  A = Y;
+}
+
+%type over_opt {Window*}
+%destructor over_opt {sqlite3WindowDelete(pParse->db, $$);}
 
 %type window {Window*}
 %destructor window {sqlite3WindowDelete(pParse->db, $$);}
@@ -1030,6 +1056,10 @@ term(A) ::= CTIME_KW(OP). {
 %type frame_opt {Window*}
 %destructor frame_opt {sqlite3WindowDelete(pParse->db, $$);}
 
+%type window_or_nm {Window*}
+%destructor window_or_nm {
+sqlite3WindowDelete(pParse->db, $$);}
+
 %type part_opt {ExprList*}
 %destructor part_opt {sqlite3ExprListDelete(pParse->db, $$);}
 
@@ -1041,11 +1071,23 @@ term(A) ::= CTIME_KW(OP). {
 %type frame_bound {struct FrameBound}
 %destructor frame_bound {sqlite3ExprDelete(pParse->db, $$.pExpr);}
 
-window(A) ::= . { A = 0; }
-window(A) ::= filter_opt(W) OVER LP part_opt(X) orderby_opt(Y) frame_opt(Z) RP.{
-  if( Z ){
-    A = Z;
-    A->pFilter = W;
+over_opt(A) ::= . { A = 0; }
+over_opt(A) ::= filter_opt(W) OVER window_or_nm(Z). {
+  A = Z;
+  if( A ) A->pFilter = W;
+}
+
+window_or_nm(A) ::= window(Z). {A = Z;}
+window_or_nm(A) ::= nm(Z). {
+  A = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
+  if( A ){
+    A->zName = sqlite3DbStrNDup(pParse->db, Z.z, Z.n);
+  }
+}
+
+window(A) ::= LP part_opt(X) orderby_opt(Y) frame_opt(Z) RP. {
+  A = Z;
+  if( A ){
     A->pPartition = X;
     A->pOrderBy = Y;
   }
diff --git a/src/resolve.c b/src/resolve.c
index 47f22a9718..cf0ca280ea 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -779,12 +779,13 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
       sqlite3WalkExprList(pWalker, pList);
       if( is_agg ){
         if( pExpr->pWin ){
-          sqlite3WindowUpdate(pParse, pExpr->pWin, pDef);
-          if( 0==pNC->pWin 
-           || 0==sqlite3WindowCompare(pParse, pNC->pWin, pExpr->pWin) 
+          Select *pSel = pNC->pWinSelect;
+          sqlite3WindowUpdate(pParse, pSel->pWinDefn, pExpr->pWin, pDef);
+          if( 0==pSel->pWin 
+           || 0==sqlite3WindowCompare(pParse, pSel->pWin, pExpr->pWin) 
           ){
-            pExpr->pWin->pNextWin = pNC->pWin;
-            pNC->pWin = pExpr->pWin;
+            pExpr->pWin->pNextWin = pSel->pWin;
+            pSel->pWin = pExpr->pWin;
           }
           pExpr->pWin->pFunc = pDef;
           pExpr->pWin->nArg = (pExpr->x.pList ? pExpr->x.pList->nExpr : 0);
@@ -1262,6 +1263,7 @@ static int resolveSelectStep(Walker *pWalker, Select *p){
     */
     memset(&sNC, 0, sizeof(sNC));
     sNC.pParse = pParse;
+    sNC.pWinSelect = p;
     if( sqlite3ResolveExprNames(&sNC, p->pLimit) ){
       return WRC_Abort;
     }
@@ -1423,9 +1425,6 @@ static int resolveSelectStep(Walker *pWalker, Select *p){
       return WRC_Abort;
     }
 
-    p->pWin = sNC.pWin;
-    sNC.pWin = 0;
-
     /* Advance to the next term of the compound
     */
     p = p->pPrior;
diff --git a/src/select.c b/src/select.c
index fcafe742d7..48e1afd4ad 100644
--- a/src/select.c
+++ b/src/select.c
@@ -96,6 +96,9 @@ static void clearSelect(sqlite3 *db, Select *p, int bFree){
     sqlite3ExprDelete(db, p->pHaving);
     sqlite3ExprListDelete(db, p->pOrderBy);
     sqlite3ExprDelete(db, p->pLimit);
+    if( OK_IF_ALWAYS_TRUE(p->pWinDefn) ){
+      sqlite3WindowListDelete(db, p->pWinDefn);
+    }
     if( OK_IF_ALWAYS_TRUE(p->pWith) ) sqlite3WithDelete(db, p->pWith);
     if( bFree ) sqlite3DbFreeNN(db, p);
     p = pPrior;
@@ -163,6 +166,7 @@ Select *sqlite3SelectNew(
   pNew->pLimit = pLimit;
   pNew->pWith = 0;
   pNew->pWin = 0;
+  pNew->pWinDefn = 0;
   if( pParse->db->mallocFailed ) {
     clearSelect(pParse->db, pNew, pNew!=&standin);
     pNew = 0;
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index d2b7730888..5eaab0d6a3 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -2715,7 +2715,7 @@ struct NameContext {
   int nRef;            /* Number of names resolved by this context */
   int nErr;            /* Number of errors encountered while resolving names */
   u16 ncFlags;         /* Zero or more NC_* flags defined below */
-  Window *pWin;        /* List of window functions in this context */
+  Select *pWinSelect;  /* SELECT statement for any window functions */
 };
 
 /*
@@ -2807,6 +2807,7 @@ struct Select {
   Expr *pLimit;          /* LIMIT expression. NULL means not used. */
   With *pWith;           /* WITH clause attached to this select. Or NULL. */
   Window *pWin;          /* List of window functions */
+  Window *pWinDefn;      /* List of named window definitions */
 };
 
 /*
@@ -3472,15 +3473,18 @@ struct TreeView {
 #endif /* SQLITE_DEBUG */
 
 struct Window {
-  Expr *pFilter;
-  ExprList *pPartition;
-  ExprList *pOrderBy;
+  char *zName;            /* Name of window (may be NULL) */
+  ExprList *pPartition;   /* PARTITION BY clause */
+  ExprList *pOrderBy;     /* ORDER BY clause */
   u8 eType;               /* TK_RANGE or TK_ROWS */
   u8 eStart;              /* UNBOUNDED, CURRENT, PRECEDING or FOLLOWING */
   u8 eEnd;                /* UNBOUNDED, CURRENT, PRECEDING or FOLLOWING */
   Expr *pStart;           /* Expression for "<expr> PRECEDING" */
   Expr *pEnd;             /* Expression for "<expr> FOLLOWING" */
+
   Window *pNextWin;       /* Next window function belonging to this SELECT */
+
+  Expr *pFilter;
   FuncDef *pFunc;
   int nArg;
 
@@ -3498,6 +3502,7 @@ struct Window {
 };
 
 void sqlite3WindowDelete(sqlite3*, Window*);
+void sqlite3WindowListDelete(sqlite3 *db, Window *p);
 Window *sqlite3WindowAlloc(Parse*, int, int, Expr*, int , Expr*);
 void sqlite3WindowAttach(Parse*, Expr*, Window*);
 int sqlite3WindowCompare(Parse*, Window*, Window*);
@@ -3505,7 +3510,7 @@ void sqlite3WindowCodeInit(Parse*, Window*);
 void sqlite3WindowCodeStep(Parse*, Select*, WhereInfo*, int, int);
 int sqlite3WindowRewrite(Parse*, Select*);
 int sqlite3ExpandSubquery(Parse*, struct SrcList_item*);
-void sqlite3WindowUpdate(Parse*, Window*, FuncDef*);
+void sqlite3WindowUpdate(Parse*, Window*, Window*, FuncDef*);
 Window *sqlite3WindowDup(sqlite3 *db, Window *p);
 
 /*
diff --git a/src/window.c b/src/window.c
index d2b6e23a64..446f5c129a 100644
--- a/src/window.c
+++ b/src/window.c
@@ -387,7 +387,28 @@ void sqlite3WindowFunctions(void){
   sqlite3InsertBuiltinFuncs(aWindowFuncs, ArraySize(aWindowFuncs));
 }
 
-void sqlite3WindowUpdate(Parse *pParse, Window *pWin, FuncDef *pFunc){
+void sqlite3WindowUpdate(
+  Parse *pParse, 
+  Window *pList, 
+  Window *pWin, 
+  FuncDef *pFunc
+){
+  if( pWin->zName ){
+    Window *p;
+    for(p=pList; p; p=p->pNextWin){
+      if( sqlite3StrICmp(p->zName, pWin->zName)==0 ) break;
+    }
+    if( p==0 ){
+      sqlite3ErrorMsg(pParse, "no such window: %s", pWin->zName);
+      return;
+    }
+    pWin->pPartition = sqlite3ExprListDup(pParse->db, p->pPartition, 0);
+    pWin->pOrderBy = sqlite3ExprListDup(pParse->db, p->pOrderBy, 0);
+    pWin->pStart = sqlite3ExprDup(pParse->db, p->pStart, 0);
+    pWin->pEnd = sqlite3ExprDup(pParse->db, p->pEnd, 0);
+    pWin->eStart = p->eStart;
+    pWin->eEnd = p->eEnd;
+  }
   if( pFunc->funcFlags & SQLITE_FUNC_WINDOW ){
     sqlite3 *db = pParse->db;
     if( pFunc->xSFunc==row_numberStepFunc || pFunc->xSFunc==ntileStepFunc ){
@@ -615,10 +636,19 @@ void sqlite3WindowDelete(sqlite3 *db, Window *p){
     sqlite3ExprListDelete(db, p->pOrderBy);
     sqlite3ExprDelete(db, p->pEnd);
     sqlite3ExprDelete(db, p->pStart);
+    sqlite3DbFree(db, p->zName);
     sqlite3DbFree(db, p);
   }
 }
 
+void sqlite3WindowListDelete(sqlite3 *db, Window *p){
+  while( p ){
+    Window *pNext = p->pNextWin;
+    sqlite3WindowDelete(db, p);
+    p = pNext;
+  }
+}
+
 Window *sqlite3WindowAlloc(
   Parse *pParse, 
   int eType,
diff --git a/test/window4.tcl b/test/window4.tcl
index 0b34fcdc8f..9b5299310a 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -90,5 +90,12 @@ execsql_test 3.2 {
   SELECT a, nth_value(c, d) OVER (PARTITION BY b ORDER BY a) FROM t5
 }
 
+execsql_test 3.3 {
+  SELECT a, count(*) OVER abc, count(*) OVER def FROM t5
+  WINDOW abc AS (ORDER BY a), 
+         def AS (ORDER BY a DESC)
+  ORDER BY a;
+}
+
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index 102f3d57e8..fd49752e71 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -169,4 +169,11 @@ do_execsql_test 3.2 {
   SELECT a, nth_value(c, d) OVER (PARTITION BY b ORDER BY a) FROM t5
 } {1 {}   3 {}   5 one   2 {}   4 four}
 
+do_execsql_test 3.3 {
+  SELECT a, count(*) OVER abc, count(*) OVER def FROM t5
+  WINDOW abc AS (ORDER BY a), 
+         def AS (ORDER BY a DESC)
+  ORDER BY a;
+} {1 1 5   2 2 4   3 3 3   4 4 2   5 5 1}
+
 finish_test
diff --git a/tool/mkkeywordhash.c b/tool/mkkeywordhash.c
index 75e691894f..86b0b7dd6b 100644
--- a/tool/mkkeywordhash.c
+++ b/tool/mkkeywordhash.c
@@ -284,6 +284,7 @@ static Keyword aKeywordTable[] = {
   { "VALUES",           "TK_VALUES",       ALWAYS                 },
   { "VIEW",             "TK_VIEW",         VIEW                   },
   { "VIRTUAL",          "TK_VIRTUAL",      VTAB                   },
+  { "WINDOW",           "TK_WINDOW",       ALWAYS                 },
   { "WITH",             "TK_WITH",         CTE                    },
   { "WITHOUT",          "TK_WITHOUT",      ALWAYS                 },
   { "WHEN",             "TK_WHEN",         ALWAYS                 },

From 6d6decb8d92ea6422f301ffa6dfbb1015aec8110 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Fri, 8 Jun 2018 21:21:01 +0000
Subject: [PATCH 043/154] Only choose to scan an IN operator rather than use an
 index if we have real STAT1 data to suggest it is advantageous.

FossilOrigin-Name: 30e874661dcc1a2ecb40df2ef74582151d85bb36c754a38548829a3b6285f18d
---
 manifest            | 16 ++++++------
 manifest.uuid       |  2 +-
 src/where.c         | 60 ++++++++++++++++++++++++---------------------
 test/in6.test       |  3 +++
 test/rowvalue4.test |  2 +-
 5 files changed, 45 insertions(+), 38 deletions(-)

diff --git a/manifest b/manifest
index 363f32cb2e..bb077b2153 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\sthe\sbtreeNext()\sassertion\sbug\sfix\sfrom\strunk.
-D 2018-06-08T19:54:07.050
+C Only\schoose\sto\sscan\san\sIN\soperator\srather\sthan\suse\san\sindex\sif\swe\shave\nreal\sSTAT1\sdata\sto\ssuggest\sit\sis\sadvantageous.
+D 2018-06-08T21:21:01.417
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -579,7 +579,7 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c 8e95858b398f7451c30ed05dd372f39767f04f423fa1d15a19d568268ae9a557
+F src/where.c e4d48338ca4718c8034f313cca202cc5ca75639a24d27b959b65578198f63c81
 F src/whereInt.h b09753e74bf92a8b17cf0e41ca94c44432c454544be6699b5311dcc57bf229c6
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
@@ -967,7 +967,7 @@ F test/in2.test 5d4c61d17493c832f7d2d32bef785119e87bde75
 F test/in3.test 3cbf58c87f4052cee3a58b37b6389777505aa0c0
 F test/in4.test d2b38cba404bc4320f4fe1b595b3d163f212c068
 F test/in5.test 7ae37fcd4a5e198291c6ab5f31a5bb3d15397efe8b75a6736d7a95a7b8dd9e08
-F test/in6.test 77c3e1d356d8aeb0864051f0677d3c0a032cf97b7f33a0ba8fa2b04a663f6b7b
+F test/in6.test 62d943a02f722948f4410ee0b53c3cb39acd7c41afb083df8d7004238fe90a20
 F test/incrblob.test c9b96afc292aeff43d6687bcb09b0280aa599822
 F test/incrblob2.test a494c9e848560039a23974b9119cfc2cf3ad3bd15cc2694ee6367ae537ef8f1f
 F test/incrblob3.test d8d036fde015d4a159cd3cbae9d29003b37227a4
@@ -1185,7 +1185,7 @@ F test/rowid.test 5b7509f384f4f6fae1af3c8c104c8ca299fea18d
 F test/rowvalue.test ef851a80f7e6de93b51caca9e4b6b7d2dcd540bbcca7d51860e80435b8b4c0de
 F test/rowvalue2.test 060d238b7e5639a7c5630cb5e63e311b44efef2b
 F test/rowvalue3.test 3068f508753af69884b12125995f023da0dbb256
-F test/rowvalue4.test cbd1cead27a797d11ec93301fd801c89e97eb1809b3d984b7f16a3876e362eac
+F test/rowvalue4.test 2b20468da3775aba971caf3158e9696a4d99c69a7623fb495f332a596daebbee
 F test/rowvalue5.test c81c7d8cf36711ab37675ad7376084ae2a359cb6
 F test/rowvalue6.test d19b54feb604d5601f8614b15e214e0774c01087
 F test/rowvalue7.test 5d06ff19d9e6969e574a2e662a531dd0c67801a8
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 1fa40a78fef4516c39b217bff67efe7e7d2077cca00aae0ef5c2c9cff94f008b 99057383acc8f92093530e216c621d40386a06fe98131ff0af6df524d80a6410
-R 56ae5d735c58aa67ec9684ecac6c800d
+P 11bd66e09035039fbfc4c5631196962dd3f2e6634f5123a7b2fec17aeaaab07b
+R 54c7353f86aece043f7640340784a722
 U drh
-Z b50b0532bda90928b75cfc1466c6bb97
+Z b0c1273ce7490f506712c4b76e5917fd
diff --git a/manifest.uuid b/manifest.uuid
index 481057e482..764612de10 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-11bd66e09035039fbfc4c5631196962dd3f2e6634f5123a7b2fec17aeaaab07b
\ No newline at end of file
+30e874661dcc1a2ecb40df2ef74582151d85bb36c754a38548829a3b6285f18d
\ No newline at end of file
diff --git a/src/where.c b/src/where.c
index 9acfbcf568..7491027f68 100644
--- a/src/where.c
+++ b/src/where.c
@@ -2471,34 +2471,38 @@ static int whereLoopAddBtreeIndex(
         assert( nIn>0 );  /* RHS always has 2 or more terms...  The parser
                           ** changes "x IN (?)" into "x=?". */
       }
-      /* Let:
-      **   N = the total number of rows in the table
-      **   K = the number of entries on the right-hand side of the IN operator
-      **   M = the number of rows in the table that match terms to the 
-      **       to the left in the same index.  If the IN operator is on
-      **       the left-most index column, M==N.
-      **
-      ** Given the definitions above, it is better to omit the IN operator
-      ** from the index lookup and instead do a scan of the M elements,
-      ** testing each scanned row against the IN operator separately, if:
-      **
-      **        M*log(K) < K*log(N)
-      **
-      ** Our estimates for M, K, and N might be inaccurate, so we build in
-      ** a safety margin of 2 (LogEst: 10) that favors using the IN operator
-      ** with the index, as using an index has better worst-case behavior.
-      */
-      M = pProbe->aiRowLogEst[saved_nEq+1];
-      logK = sqlite3LogEst(nIn);
-      if( M + logK + 10 < nIn + rLogSize ){
-        WHERETRACE(0x40,
-          ("IN operator costs more than scan on column %d of \"%s\" (%d<%d)\n",
-           saved_nEq, pProbe->zName, M+logK+10, nIn+rLogSize));
-        continue;
-      }else{
-        WHERETRACE(0x40,
-          ("IN operator cheaper than scan on column %d of \"%s\" (%d>=%d)\n",
-           saved_nEq, pProbe->zName, M+logK+10, nIn+rLogSize));
+      if( pProbe->hasStat1 ){
+        /* Let:
+        **   N = the total number of rows in the table
+        **   K = the number of entries on the RHS of the IN operator
+        **   M = the number of rows in the table that match terms to the 
+        **       to the left in the same index.  If the IN operator is on
+        **       the left-most index column, M==N.
+        **
+        ** Given the definitions above, it is better to omit the IN operator
+        ** from the index lookup and instead do a scan of the M elements,
+        ** testing each scanned row against the IN operator separately, if:
+        **
+        **        M*log(K) < K*log(N)
+        **
+        ** Our estimates for M, K, and N might be inaccurate, so we build in
+        ** a safety margin of 2 (LogEst: 10) that favors using the IN operator
+        ** with the index, as using an index has better worst-case behavior.
+        ** If we do not have real sqlite_stat1 data, always prefer to use
+        ** the index.
+        */
+        M = pProbe->aiRowLogEst[saved_nEq];
+        logK = estLog(nIn);
+        if( M + logK + 10 < nIn + rLogSize ){
+          WHERETRACE(0x40,
+            ("Scan preferred over IN operator on column %d of \"%s\" (%d<%d)\n",
+             saved_nEq, pProbe->zName, M+logK+10, nIn+rLogSize));
+          continue;
+        }else{
+          WHERETRACE(0x40,
+            ("IN operator preferred on column %d of \"%s\" (%d>=%d)\n",
+             saved_nEq, pProbe->zName, M+logK+10, nIn+rLogSize));
+        }
       }
       pNew->wsFlags |= WHERE_COLUMN_IN;
     }else if( eOp & (WO_EQ|WO_IS) ){
diff --git a/test/in6.test b/test/in6.test
index ad16c4e8a8..773ee589d4 100644
--- a/test/in6.test
+++ b/test/in6.test
@@ -28,6 +28,9 @@ do_test in6-1.1 {
       INSERT INTO t1(a,b,c,d)
         SELECT 100, 200+x/2, 300+x/5, x FROM c;
     CREATE INDEX t1abc ON t1(a,b,c);
+    ANALYZE;
+    UPDATE sqlite_stat1 SET stat='1000000 500000 500 50';
+    ANALYZE sqlite_master;
   }
   set ::sqlite_search_count 0
   db eval {
diff --git a/test/rowvalue4.test b/test/rowvalue4.test
index ce025fc923..5c0d170f59 100644
--- a/test/rowvalue4.test
+++ b/test/rowvalue4.test
@@ -224,7 +224,7 @@ do_execsql_test 5.0 {
   WITH i(i) AS (
     VALUES(1) UNION ALL SELECT i+1 FROM i WHERE i<1000
   )
-  INSERT INTO d2 SELECT i/3, i%3, i/3 FROM i;
+  INSERT INTO d2 SELECT i/100, i%100, i/100 FROM i;
   ANALYZE;
 }
 

From da230bd484d63bd6adff862b74f9090cc921ad24 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sat, 9 Jun 2018 00:09:58 +0000
Subject: [PATCH 044/154] Avoid invoking the whereLoopAddOr() routine in the
 query planner if there are no OR operators in the WHERE clause, thus speeding
 up query planning slightly.

FossilOrigin-Name: 292724ffc4bfca435fff309383d488ffdbe1e314e5eb26da21cf2f621b64bce5
---
 manifest        | 17 ++++++++---------
 manifest.uuid   |  2 +-
 src/where.c     |  2 +-
 src/whereInt.h  |  1 +
 src/whereexpr.c |  7 ++++++-
 5 files changed, 17 insertions(+), 12 deletions(-)

diff --git a/manifest b/manifest
index 61b07880e0..4a1d9dc884 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C When\sthe\squery\splanner\shas\sthe\sopportunity\sto\suse\san\sIN\soperater\sconstraint\non\sa\sterm\sof\san\sindex\sother\sthan\sthe\sleft-most\sterm,\suse\sthe\sestimated\snumber\nof\selements\son\sthe\sright-hand\sside\sof\sthe\sIN\soperator\sto\sdetermine\sif\smakes\nsense\sto\suse\sthe\sIN\soperator\swith\sindex\slooks,\sor\sto\sjust\sdo\sa\sscan\sover\sthe\nrange\sof\sthe\stable\sidentified\sby\sthe\sindex\sterms\sto\sthe\sleft.\s\s\sOnly\sdo\sthis\nif\ssqlite_stat1\smeasurements\sare\savailable\sas\sotherwise\sthe\sperformance\nestimates\swill\snot\sbe\saccurate\senough\sto\sdiscern\sthe\sbest\splan.\s\sBias\sthe\ndecision\sslightly\sin\sfavor\sof\susing\sindex\slookups\son\seach\selement\sof\sthe\sIN\noperator.
-D 2018-06-08T23:23:53.721
+C Avoid\sinvoking\sthe\swhereLoopAddOr()\sroutine\sin\sthe\squery\splanner\sif\sthere\nare\sno\sOR\soperators\sin\sthe\sWHERE\sclause,\sthus\sspeeding\sup\squery\splanning\nslightly.
+D 2018-06-09T00:09:58.256
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -579,10 +579,10 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c e4d48338ca4718c8034f313cca202cc5ca75639a24d27b959b65578198f63c81
-F src/whereInt.h b09753e74bf92a8b17cf0e41ca94c44432c454544be6699b5311dcc57bf229c6
+F src/where.c b93db8c543ce60bdeb325250665e8fb5374c02b31d581c339ae8723da9b7f889
+F src/whereInt.h 09dbf692741bb5ac4f4ce15e3e124bcff3c1077dd39afd2aa7ef573040252c11
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
-F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
+F src/whereexpr.c d979cd594c9abbf038b8671a9b05f1e9d02300b06f987f2ea2c06712c60b8077
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1731,8 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 99057383acc8f92093530e216c621d40386a06fe98131ff0af6df524d80a6410 30e874661dcc1a2ecb40df2ef74582151d85bb36c754a38548829a3b6285f18d
-R 54c7353f86aece043f7640340784a722
-T +closed 30e874661dcc1a2ecb40df2ef74582151d85bb36c754a38548829a3b6285f18d
+P 2cbbabdf5ef624d809fbb40d2d312a29e0b5f02756fc0dbf6985fc8b0c8d1ade
+R 0b684b2e3c17dc858ffe6bf2e9f152c7
 U drh
-Z 3947665ab12ebd8b4ea54e65ad1b9691
+Z 039981a09de1ec68f373ff429bf5bde6
diff --git a/manifest.uuid b/manifest.uuid
index 49cd303dad..5cb8cc6192 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-2cbbabdf5ef624d809fbb40d2d312a29e0b5f02756fc0dbf6985fc8b0c8d1ade
\ No newline at end of file
+292724ffc4bfca435fff309383d488ffdbe1e314e5eb26da21cf2f621b64bce5
\ No newline at end of file
diff --git a/src/where.c b/src/where.c
index 7491027f68..7aba0eb5dc 100644
--- a/src/where.c
+++ b/src/where.c
@@ -3534,7 +3534,7 @@ static int whereLoopAddAll(WhereLoopBuilder *pBuilder){
     {
       rc = whereLoopAddBtree(pBuilder, mPrereq);
     }
-    if( rc==SQLITE_OK ){
+    if( rc==SQLITE_OK && pBuilder->pWC->hasOr ){
       rc = whereLoopAddOr(pBuilder, mPrereq, mUnusable);
     }
     mPrior |= pNew->maskSelf;
diff --git a/src/whereInt.h b/src/whereInt.h
index 5028793bb8..c15264a9be 100644
--- a/src/whereInt.h
+++ b/src/whereInt.h
@@ -322,6 +322,7 @@ struct WhereClause {
   WhereInfo *pWInfo;       /* WHERE clause processing context */
   WhereClause *pOuter;     /* Outer conjunction */
   u8 op;                   /* Split operator.  TK_AND or TK_OR */
+  u8 hasOr;                /* True if any a[].eOperator is WO_OR */
   int nTerm;               /* Number of terms */
   int nSlot;               /* Number of entries in a[] */
   WhereTerm *a;            /* Each a[] describes a term of the WHERE cluase */
diff --git a/src/whereexpr.c b/src/whereexpr.c
index 29750080a1..a0f4ff6af5 100644
--- a/src/whereexpr.c
+++ b/src/whereexpr.c
@@ -672,7 +672,12 @@ static void exprAnalyzeOrTerm(
   ** empty.
   */
   pOrInfo->indexable = indexable;
-  pTerm->eOperator = indexable==0 ? 0 : WO_OR;
+  if( indexable ){
+    pTerm->eOperator = WO_OR;
+    pWC->hasOr = 1;
+  }else{
+    pTerm->eOperator = WO_OR;
+  }
 
   /* For a two-way OR, attempt to implementation case 2.
   */

From 1fe3ac73474a71583b9bd05a5e9016855748c0b3 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sat, 9 Jun 2018 01:12:08 +0000
Subject: [PATCH 045/154] Compute the bitmask of indexed columns for each index
 once when the Index objecct is constructed, instead of recomputing it every
 time it is needed.

FossilOrigin-Name: d735872ec383bbd220b08c61d25db9ff3675d2542b9e7867e7d6323a12e0cc23
---
 manifest        | 16 +++++++--------
 manifest.uuid   |  2 +-
 src/build.c     | 27 +++++++++++++++++++++++++
 src/sqliteInt.h | 52 +++++++++++++++++++++++++------------------------
 src/where.c     | 22 ++-------------------
 5 files changed, 65 insertions(+), 54 deletions(-)

diff --git a/manifest b/manifest
index 4a1d9dc884..310f7a57fb 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Avoid\sinvoking\sthe\swhereLoopAddOr()\sroutine\sin\sthe\squery\splanner\sif\sthere\nare\sno\sOR\soperators\sin\sthe\sWHERE\sclause,\sthus\sspeeding\sup\squery\splanning\nslightly.
-D 2018-06-09T00:09:58.256
+C Compute\sthe\sbitmask\sof\sindexed\scolumns\sfor\seach\sindex\sonce\swhen\sthe\sIndex\nobjecct\sis\sconstructed,\sinstead\sof\srecomputing\sit\severy\stime\sit\sis\sneeded.
+D 2018-06-09T01:12:08.387
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -439,7 +439,7 @@ F src/btmutex.c 8acc2f464ee76324bf13310df5692a262b801808984c1b79defb2503bbafadb6
 F src/btree.c 06690f5ad144c5e69dfb68d5ec8ee4819c6d40f4b8bc77aa97975938f59d928c
 F src/btree.h ab639c4b9b210b8f4cd7a3a922af73df9a3f27c1d124267339fd73ef8619f488
 F src/btreeInt.h 620ab4c7235f43572cf3ac2ac8723cbdf68073be4d29da24897c7b77dda5fd96
-F src/build.c 5fc41458505331bfb0c175f40b9a13cb335f826bed3ae311aaae000c132d7b16
+F src/build.c 3b3bfa88800739e1f11313dcecfba5ef8e4757b6c929cdf7de9fcfc01002b81f
 F src/callback.c 36caff1e7eb7deb58572d59c41cee8f064a11d00297616995c5050ea0cfc1288
 F src/complete.c a3634ab1e687055cd002e11b8f43eb75c17da23e
 F src/ctime.c 849d4cebe008cfc6e4799b034a172b4eaf8856b100739632a852732ba66eee48
@@ -500,7 +500,7 @@ F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf
 F src/sqlite.h.in 63b07f76731f2b1e55c48fdb9f0508dcc6fbe3971010b8612ffd847c3c56d9a1
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h d2bd297dba08f2390a91c31ff775e0964e9663df5b2910a569fe6f830b8b2beb
+F src/sqliteInt.h 9332b820382288dde7d6ea712bbcd34380bbbeb44f6f7032710bd5240fd4067d
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -579,7 +579,7 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c b93db8c543ce60bdeb325250665e8fb5374c02b31d581c339ae8723da9b7f889
+F src/where.c 9915929594a8c6bf8ca8d6e02a4f7e632948fa523712ab647490d18855a43656
 F src/whereInt.h 09dbf692741bb5ac4f4ce15e3e124bcff3c1077dd39afd2aa7ef573040252c11
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c d979cd594c9abbf038b8671a9b05f1e9d02300b06f987f2ea2c06712c60b8077
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 2cbbabdf5ef624d809fbb40d2d312a29e0b5f02756fc0dbf6985fc8b0c8d1ade
-R 0b684b2e3c17dc858ffe6bf2e9f152c7
+P 292724ffc4bfca435fff309383d488ffdbe1e314e5eb26da21cf2f621b64bce5
+R 84501035b6f16659219d9bb1862a6d24
 U drh
-Z 039981a09de1ec68f373ff429bf5bde6
+Z ca51630bcd989bed6d96c283f487ffd2
diff --git a/manifest.uuid b/manifest.uuid
index 5cb8cc6192..dd0ca06fe8 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-292724ffc4bfca435fff309383d488ffdbe1e314e5eb26da21cf2f621b64bce5
\ No newline at end of file
+d735872ec383bbd220b08c61d25db9ff3675d2542b9e7867e7d6323a12e0cc23
\ No newline at end of file
diff --git a/src/build.c b/src/build.c
index 3d982f72ea..44fc4573b2 100644
--- a/src/build.c
+++ b/src/build.c
@@ -1695,6 +1695,31 @@ static int hasColumn(const i16 *aiCol, int nCol, int x){
   return 0;
 }
 
+/* Recompute the colNotIdxed field of the Index.
+**
+** colNotIdxed is a bitmask that has a 0 bit representing each indexed
+** columns that are within the first 63 columns of the table.  The
+** high-order bit of colNotIdxed is always 1.  All unindexed columns
+** of the table have a 1.
+**
+** The colNotIdxed mask is AND-ed with the SrcList.a[].colUsed mask
+** to determine if the index is covering index.
+*/
+static void recomputeColumnsNotIndexed(Index *pIdx){
+  Bitmask m = 0;
+  int j;
+  for(j=pIdx->nColumn-1; j>=0; j--){
+    int x = pIdx->aiColumn[j];
+    if( x>=0 ){
+      testcase( x==BMS-1 );
+      testcase( x==BMS-2 );
+      if( x<BMS-1 ) m |= MASKBIT(x);
+    }
+  }
+  pIdx->colNotIdxed = ~m;
+  assert( (pIdx->colNotIdxed>>63)==1 );
+}
+
 /*
 ** This routine runs at the end of parsing a CREATE TABLE statement that
 ** has a WITHOUT ROWID clause.  The job of this routine is to convert both
@@ -1843,6 +1868,7 @@ static void convertToWithoutRowidTable(Parse *pParse, Table *pTab){
   }else{
     pPk->nColumn = pTab->nCol;
   }
+  recomputeColumnsNotIndexed(pPk);
 }
 
 /*
@@ -3276,6 +3302,7 @@ void sqlite3CreateIndex(
   ** it as a covering index */
   assert( HasRowid(pTab) 
       || pTab->iPKey<0 || sqlite3ColumnOfIndex(pIndex, pTab->iPKey)>=0 );
+  recomputeColumnsNotIndexed(pIndex);
   if( pTblName!=0 && pIndex->nColumn>=pTab->nCol ){
     pIndex->isCovering = 1;
     for(j=0; j<pTab->nCol; j++){
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 91fde727a2..98bd7e4079 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -1109,6 +1109,32 @@ typedef struct Walker Walker;
 typedef struct WhereInfo WhereInfo;
 typedef struct With With;
 
+
+/*
+** The bitmask datatype defined below is used for various optimizations.
+**
+** Changing this from a 64-bit to a 32-bit type limits the number of
+** tables in a join to 32 instead of 64.  But it also reduces the size
+** of the library by 738 bytes on ix86.
+*/
+#ifdef SQLITE_BITMASK_TYPE
+  typedef SQLITE_BITMASK_TYPE Bitmask;
+#else
+  typedef u64 Bitmask;
+#endif
+
+/*
+** The number of bits in a Bitmask.  "BMS" means "BitMask Size".
+*/
+#define BMS  ((int)(sizeof(Bitmask)*8))
+
+/*
+** A bit in a Bitmask
+*/
+#define MASKBIT(n)   (((Bitmask)1)<<(n))
+#define MASKBIT32(n) (((unsigned int)1)<<(n))
+#define ALLBITS      ((Bitmask)-1)
+
 /* A VList object records a mapping between parameters/variables/wildcards
 ** in the SQL statement (such as $abc, @pqr, or :xyz) and the integer
 ** variable number associated with that parameter.  See the format description
@@ -2198,6 +2224,7 @@ struct Index {
   tRowcnt *aiRowEst;       /* Non-logarithmic stat1 data for this index */
   tRowcnt nRowEst0;        /* Non-logarithmic number of rows in the index */
 #endif
+  Bitmask colNotIdxed;     /* 0 for unindexed columns in pTab */
 };
 
 /*
@@ -2543,31 +2570,6 @@ struct IdList {
   int nId;         /* Number of identifiers on the list */
 };
 
-/*
-** The bitmask datatype defined below is used for various optimizations.
-**
-** Changing this from a 64-bit to a 32-bit type limits the number of
-** tables in a join to 32 instead of 64.  But it also reduces the size
-** of the library by 738 bytes on ix86.
-*/
-#ifdef SQLITE_BITMASK_TYPE
-  typedef SQLITE_BITMASK_TYPE Bitmask;
-#else
-  typedef u64 Bitmask;
-#endif
-
-/*
-** The number of bits in a Bitmask.  "BMS" means "BitMask Size".
-*/
-#define BMS  ((int)(sizeof(Bitmask)*8))
-
-/*
-** A bit in a Bitmask
-*/
-#define MASKBIT(n)   (((Bitmask)1)<<(n))
-#define MASKBIT32(n) (((unsigned int)1)<<(n))
-#define ALLBITS      ((Bitmask)-1)
-
 /*
 ** The following structure describes the FROM clause of a SELECT statement.
 ** Each table or subquery in the FROM clause is a separate element of
diff --git a/src/where.c b/src/where.c
index 7aba0eb5dc..56d37be012 100644
--- a/src/where.c
+++ b/src/where.c
@@ -2734,24 +2734,6 @@ static int indexMightHelpWithOrderBy(
   return 0;
 }
 
-/*
-** Return a bitmask where 1s indicate that the corresponding column of
-** the table is used by an index.  Only the first 63 columns are considered.
-*/
-static Bitmask columnsInIndex(Index *pIdx){
-  Bitmask m = 0;
-  int j;
-  for(j=pIdx->nColumn-1; j>=0; j--){
-    int x = pIdx->aiColumn[j];
-    if( x>=0 ){
-      testcase( x==BMS-1 );
-      testcase( x==BMS-2 );
-      if( x<BMS-1 ) m |= MASKBIT(x);
-    }
-  }
-  return m;
-}
-
 /* Check to see if a partial index with pPartIndexWhere can be used
 ** in the current query.  Return true if it can be and false if not.
 */
@@ -2967,7 +2949,7 @@ static int whereLoopAddBtree(
         pNew->wsFlags = WHERE_IDX_ONLY | WHERE_INDEXED;
         m = 0;
       }else{
-        m = pSrc->colUsed & ~columnsInIndex(pProbe);
+        m = pSrc->colUsed & pProbe->colNotIdxed;
         pNew->wsFlags = (m==0) ? (WHERE_IDX_ONLY|WHERE_INDEXED) : WHERE_INDEXED;
       }
 
@@ -4370,7 +4352,7 @@ static int whereShortCut(WhereLoopBuilder *pBuilder){
       }
       if( j!=pIdx->nKeyCol ) continue;
       pLoop->wsFlags = WHERE_COLUMN_EQ|WHERE_ONEROW|WHERE_INDEXED;
-      if( pIdx->isCovering || (pItem->colUsed & ~columnsInIndex(pIdx))==0 ){
+      if( pIdx->isCovering || (pItem->colUsed & pIdx->colNotIdxed)==0 ){
         pLoop->wsFlags |= WHERE_IDX_ONLY;
       }
       pLoop->nLTerm = j;

From ccf6db5e6499f26c0463ed9840209c47c1d4a7a9 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sat, 9 Jun 2018 02:49:11 +0000
Subject: [PATCH 046/154] Performance improvement to sqlite3WhereExprUsage().

FossilOrigin-Name: fd0934139076848f2f2edfd3d74d54608531031a05a60ca6ac1d7016dcd538df
---
 manifest        | 14 +++++++-------
 manifest.uuid   |  2 +-
 src/whereInt.h  |  1 +
 src/whereexpr.c | 16 ++++++++++------
 4 files changed, 19 insertions(+), 14 deletions(-)

diff --git a/manifest b/manifest
index 310f7a57fb..735c33f57b 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Compute\sthe\sbitmask\sof\sindexed\scolumns\sfor\seach\sindex\sonce\swhen\sthe\sIndex\nobjecct\sis\sconstructed,\sinstead\sof\srecomputing\sit\severy\stime\sit\sis\sneeded.
-D 2018-06-09T01:12:08.387
+C Performance\simprovement\sto\ssqlite3WhereExprUsage().
+D 2018-06-09T02:49:11.362
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -580,9 +580,9 @@ F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
 F src/where.c 9915929594a8c6bf8ca8d6e02a4f7e632948fa523712ab647490d18855a43656
-F src/whereInt.h 09dbf692741bb5ac4f4ce15e3e124bcff3c1077dd39afd2aa7ef573040252c11
+F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
-F src/whereexpr.c d979cd594c9abbf038b8671a9b05f1e9d02300b06f987f2ea2c06712c60b8077
+F src/whereexpr.c 6f022d6cc9daf56495f191b199352f783aff5cf268ba136b4d8cea3fb62d8c7d
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 292724ffc4bfca435fff309383d488ffdbe1e314e5eb26da21cf2f621b64bce5
-R 84501035b6f16659219d9bb1862a6d24
+P d735872ec383bbd220b08c61d25db9ff3675d2542b9e7867e7d6323a12e0cc23
+R 2ba2d88f21c46106179a39d7ea349a11
 U drh
-Z ca51630bcd989bed6d96c283f487ffd2
+Z 5dc11e9a5cd95e10cd947ae661eb7994
diff --git a/manifest.uuid b/manifest.uuid
index dd0ca06fe8..c6ce388e64 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-d735872ec383bbd220b08c61d25db9ff3675d2542b9e7867e7d6323a12e0cc23
\ No newline at end of file
+fd0934139076848f2f2edfd3d74d54608531031a05a60ca6ac1d7016dcd538df
\ No newline at end of file
diff --git a/src/whereInt.h b/src/whereInt.h
index c15264a9be..8c87effac0 100644
--- a/src/whereInt.h
+++ b/src/whereInt.h
@@ -496,6 +496,7 @@ void sqlite3WhereClauseInit(WhereClause*,WhereInfo*);
 void sqlite3WhereClauseClear(WhereClause*);
 void sqlite3WhereSplit(WhereClause*,Expr*,u8);
 Bitmask sqlite3WhereExprUsage(WhereMaskSet*, Expr*);
+Bitmask sqlite3WhereExprUsageNN(WhereMaskSet*, Expr*);
 Bitmask sqlite3WhereExprListUsage(WhereMaskSet*, ExprList*);
 void sqlite3WhereExprAnalyze(SrcList*, WhereClause*);
 void sqlite3WhereTabFuncArgs(Parse*, struct SrcList_item*, WhereClause*);
diff --git a/src/whereexpr.c b/src/whereexpr.c
index a0f4ff6af5..3f349134ba 100644
--- a/src/whereexpr.c
+++ b/src/whereexpr.c
@@ -1016,7 +1016,7 @@ static void exprAnalyze(
     pTerm->prereqRight = sqlite3WhereExprUsage(pMaskSet, pExpr->pRight);
   }
   pMaskSet->bVarSelect = 0;
-  prereqAll = sqlite3WhereExprUsage(pMaskSet, pExpr);
+  prereqAll = sqlite3WhereExprUsageNN(pMaskSet, pExpr);
   if( pMaskSet->bVarSelect ) pTerm->wtFlags |= TERM_VARSELECT;
   if( ExprHasProperty(pExpr, EP_FromJoin) ){
     Bitmask x = sqlite3WhereGetMask(pMaskSet, pExpr->iRightJoinTable);
@@ -1445,17 +1445,18 @@ void sqlite3WhereClauseClear(WhereClause *pWC){
 ** a bitmask indicating which tables are used in that expression
 ** tree.
 */
-Bitmask sqlite3WhereExprUsage(WhereMaskSet *pMaskSet, Expr *p){
+Bitmask sqlite3WhereExprUsageNN(WhereMaskSet *pMaskSet, Expr *p){
   Bitmask mask;
-  if( p==0 ) return 0;
   if( p->op==TK_COLUMN ){
     return sqlite3WhereGetMask(pMaskSet, p->iTable);
+  }else if( ExprHasProperty(p, EP_TokenOnly|EP_Leaf) ){
+    assert( p->op!=TK_IF_NULL_ROW );
+    return 0;
   }
   mask = (p->op==TK_IF_NULL_ROW) ? sqlite3WhereGetMask(pMaskSet, p->iTable) : 0;
-  assert( !ExprHasProperty(p, EP_TokenOnly) );
-  if( p->pLeft ) mask |= sqlite3WhereExprUsage(pMaskSet, p->pLeft);
+  if( p->pLeft ) mask |= sqlite3WhereExprUsageNN(pMaskSet, p->pLeft);
   if( p->pRight ){
-    mask |= sqlite3WhereExprUsage(pMaskSet, p->pRight);
+    mask |= sqlite3WhereExprUsageNN(pMaskSet, p->pRight);
     assert( p->x.pList==0 );
   }else if( ExprHasProperty(p, EP_xIsSelect) ){
     if( ExprHasProperty(p, EP_VarSelect) ) pMaskSet->bVarSelect = 1;
@@ -1465,6 +1466,9 @@ Bitmask sqlite3WhereExprUsage(WhereMaskSet *pMaskSet, Expr *p){
   }
   return mask;
 }
+Bitmask sqlite3WhereExprUsage(WhereMaskSet *pMaskSet, Expr *p){
+  return p ? sqlite3WhereExprUsageNN(pMaskSet,p) : 0;
+}
 Bitmask sqlite3WhereExprListUsage(WhereMaskSet *pMaskSet, ExprList *pList){
   int i;
   Bitmask mask = 0;

From a46ba6cca5102ade4689faeb67a499d56360ebb7 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sat, 9 Jun 2018 14:13:46 +0000
Subject: [PATCH 047/154] Improved comments an presentation for the recent IN
 operator decision improvement.

FossilOrigin-Name: 31e480f68dfd887cfd9114f9f9fec53d751d3ecc27e36f55c0166b51b2fbb08c
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/where.c   |  5 +++--
 3 files changed, 10 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index 735c33f57b..2408ba2066 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Performance\simprovement\sto\ssqlite3WhereExprUsage().
-D 2018-06-09T02:49:11.362
+C Improved\scomments\san\spresentation\sfor\sthe\srecent\sIN\soperator\sdecision\nimprovement.
+D 2018-06-09T14:13:46.495
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -579,7 +579,7 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c 9915929594a8c6bf8ca8d6e02a4f7e632948fa523712ab647490d18855a43656
+F src/where.c fe1a6f97c12cc9472ccce86166ba3f827cf61d6ae770c036a6396b63863baac4
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 6f022d6cc9daf56495f191b199352f783aff5cf268ba136b4d8cea3fb62d8c7d
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P d735872ec383bbd220b08c61d25db9ff3675d2542b9e7867e7d6323a12e0cc23
-R 2ba2d88f21c46106179a39d7ea349a11
+P fd0934139076848f2f2edfd3d74d54608531031a05a60ca6ac1d7016dcd538df
+R b9ed4417ad4e47d1ad0ea2ffe1b71005
 U drh
-Z 5dc11e9a5cd95e10cd947ae661eb7994
+Z fc8a0aeffe4e41486a64c0cdfcf48c75
diff --git a/manifest.uuid b/manifest.uuid
index c6ce388e64..e6f6c75858 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-fd0934139076848f2f2edfd3d74d54608531031a05a60ca6ac1d7016dcd538df
\ No newline at end of file
+31e480f68dfd887cfd9114f9f9fec53d751d3ecc27e36f55c0166b51b2fbb08c
\ No newline at end of file
diff --git a/src/where.c b/src/where.c
index 56d37be012..0e47dbf7ee 100644
--- a/src/where.c
+++ b/src/where.c
@@ -2451,7 +2451,6 @@ static int whereLoopAddBtreeIndex(
 
     if( eOp & WO_IN ){
       Expr *pExpr = pTerm->pExpr;
-      LogEst M, logK;
       if( ExprHasProperty(pExpr, EP_xIsSelect) ){
         /* "x IN (SELECT ...)":  TUNING: the SELECT returns 25 rows */
         int i;
@@ -2472,6 +2471,7 @@ static int whereLoopAddBtreeIndex(
                           ** changes "x IN (?)" into "x=?". */
       }
       if( pProbe->hasStat1 ){
+        LogEst M, logK, safetyMargin;
         /* Let:
         **   N = the total number of rows in the table
         **   K = the number of entries on the RHS of the IN operator
@@ -2493,7 +2493,8 @@ static int whereLoopAddBtreeIndex(
         */
         M = pProbe->aiRowLogEst[saved_nEq];
         logK = estLog(nIn);
-        if( M + logK + 10 < nIn + rLogSize ){
+        safetyMargin = 10;  /* TUNING: extra weight for indexed IN */
+        if( M + logK + safetyMargin < nIn + rLogSize ){
           WHERETRACE(0x40,
             ("Scan preferred over IN operator on column %d of \"%s\" (%d<%d)\n",
              saved_nEq, pProbe->zName, M+logK+10, nIn+rLogSize));

From 4ece2f265736090c33cb0f18f5fcbfb148a9fbde Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sat, 9 Jun 2018 16:49:00 +0000
Subject: [PATCH 048/154] Slightly smaller and faster code by encapsulating
 wal-index hash table location information in a separate WalHashLoc object
 rather than passing around the various elements as separate variables.

FossilOrigin-Name: 538a365b7a32ab7fa84f59d7556242cfb59b76d287b6417eb3a823197a354e8e
---
 manifest      |  12 ++---
 manifest.uuid |   2 +-
 src/wal.c     | 143 ++++++++++++++++++++++++--------------------------
 3 files changed, 77 insertions(+), 80 deletions(-)

diff --git a/manifest b/manifest
index 2408ba2066..3e06caf3c1 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Improved\scomments\san\spresentation\sfor\sthe\srecent\sIN\soperator\sdecision\nimprovement.
-D 2018-06-09T14:13:46.495
+C Slightly\ssmaller\sand\sfaster\scode\sby\sencapsulating\swal-index\shash\stable\nlocation\sinformation\sin\sa\sseparate\sWalHashLoc\sobject\srather\sthan\spassing\naround\sthe\svarious\selements\sas\sseparate\svariables.
+D 2018-06-09T16:49:00.305
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -576,7 +576,7 @@ F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2
 F src/vdbetrace.c 79d6dbbc479267b255a7de8080eee6e729928a0ef93ed9b0bfa5618875b48392
 F src/vtab.c 10ea07dec111de6fb0a4fc87a7ffa4c65fdc088a19dbfaf7d6f2b128f2e8eb7b
 F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
-F src/wal.c aa9cffc7a2bad6b826a86c8562dd4978398720ed41cb8ee7aa9d054eb8b456a0
+F src/wal.c d44a0811afd2155b1157c38b33141d4ac028fda6232485bed664015bb05819ca
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
 F src/where.c fe1a6f97c12cc9472ccce86166ba3f827cf61d6ae770c036a6396b63863baac4
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P fd0934139076848f2f2edfd3d74d54608531031a05a60ca6ac1d7016dcd538df
-R b9ed4417ad4e47d1ad0ea2ffe1b71005
+P 31e480f68dfd887cfd9114f9f9fec53d751d3ecc27e36f55c0166b51b2fbb08c
+R 6ae6039dbf6c75d53dff2e4ab7fb3afb
 U drh
-Z fc8a0aeffe4e41486a64c0cdfcf48c75
+Z 6ec430bc7e585373e73f8d45e5d8a30b
diff --git a/manifest.uuid b/manifest.uuid
index e6f6c75858..15b5d5a674 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-31e480f68dfd887cfd9114f9f9fec53d751d3ecc27e36f55c0166b51b2fbb08c
\ No newline at end of file
+538a365b7a32ab7fa84f59d7556242cfb59b76d287b6417eb3a823197a354e8e
\ No newline at end of file
diff --git a/src/wal.c b/src/wal.c
index 69a89a709b..885a2bd733 100644
--- a/src/wal.c
+++ b/src/wal.c
@@ -880,48 +880,51 @@ static int walNextHash(int iPriorHash){
   return (iPriorHash+1)&(HASHTABLE_NSLOT-1);
 }
 
+/*
+** An instance of the WalHashLoc object is used to describe the location
+** of a page hash table in the wal-index.  This becomes the return value
+** from walHashGet().
+*/
+typedef struct WalHashLoc WalHashLoc;
+struct WalHashLoc {
+  volatile ht_slot *aHash;  /* Start of the wal-index hash table */
+  volatile u32 *aPgno;      /* aPgno[1] is the page of first frame indexed */
+  u32 iZero;                /* One less than the frame number of first indexed*/
+};
+
 /* 
 ** Return pointers to the hash table and page number array stored on
 ** page iHash of the wal-index. The wal-index is broken into 32KB pages
 ** numbered starting from 0.
 **
-** Set output variable *paHash to point to the start of the hash table
-** in the wal-index file. Set *piZero to one less than the frame 
+** Set output variable pLoc->aHash to point to the start of the hash table
+** in the wal-index file. Set pLoc->iZero to one less than the frame 
 ** number of the first frame indexed by this hash table. If a
 ** slot in the hash table is set to N, it refers to frame number 
-** (*piZero+N) in the log.
+** (pLoc->iZero+N) in the log.
 **
-** Finally, set *paPgno so that *paPgno[1] is the page number of the
-** first frame indexed by the hash table, frame (*piZero+1).
+** Finally, set pLoc->aPgno so that pLoc->aPgno[1] is the page number of the
+** first frame indexed by the hash table, frame (pLoc->iZero+1).
 */
 static int walHashGet(
   Wal *pWal,                      /* WAL handle */
   int iHash,                      /* Find the iHash'th table */
-  volatile ht_slot **paHash,      /* OUT: Pointer to hash index */
-  volatile u32 **paPgno,          /* OUT: Pointer to page number array */
-  u32 *piZero                     /* OUT: Frame associated with *paPgno[0] */
+  WalHashLoc *pLoc                /* OUT: Hash table location */
 ){
   int rc;                         /* Return code */
-  volatile u32 *aPgno;
 
-  rc = walIndexPage(pWal, iHash, &aPgno);
+  rc = walIndexPage(pWal, iHash, &pLoc->aPgno);
   assert( rc==SQLITE_OK || iHash>0 );
 
   if( rc==SQLITE_OK ){
-    u32 iZero;
-    volatile ht_slot *aHash;
-
-    aHash = (volatile ht_slot *)&aPgno[HASHTABLE_NPAGE];
+    pLoc->aHash = (volatile ht_slot *)&pLoc->aPgno[HASHTABLE_NPAGE];
     if( iHash==0 ){
-      aPgno = &aPgno[WALINDEX_HDR_SIZE/sizeof(u32)];
-      iZero = 0;
+      pLoc->aPgno = &pLoc->aPgno[WALINDEX_HDR_SIZE/sizeof(u32)];
+      pLoc->iZero = 0;
     }else{
-      iZero = HASHTABLE_NPAGE_ONE + (iHash-1)*HASHTABLE_NPAGE;
+      pLoc->iZero = HASHTABLE_NPAGE_ONE + (iHash-1)*HASHTABLE_NPAGE;
     }
-  
-    *paPgno = &aPgno[-1];
-    *paHash = aHash;
-    *piZero = iZero;
+    pLoc->aPgno = &pLoc->aPgno[-1];
   }
   return rc;
 }
@@ -967,9 +970,7 @@ static u32 walFramePgno(Wal *pWal, u32 iFrame){
 ** actually needed.
 */
 static void walCleanupHash(Wal *pWal){
-  volatile ht_slot *aHash = 0;    /* Pointer to hash table to clear */
-  volatile u32 *aPgno = 0;        /* Page number array for hash table */
-  u32 iZero = 0;                  /* frame == (aHash[x]+iZero) */
+  WalHashLoc sLoc;                /* Hash table location */
   int iLimit = 0;                 /* Zero values greater than this */
   int nByte;                      /* Number of bytes to zero in aPgno[] */
   int i;                          /* Used to iterate through aHash[] */
@@ -987,24 +988,24 @@ static void walCleanupHash(Wal *pWal){
   */
   assert( pWal->nWiData>walFramePage(pWal->hdr.mxFrame) );
   assert( pWal->apWiData[walFramePage(pWal->hdr.mxFrame)] );
-  walHashGet(pWal, walFramePage(pWal->hdr.mxFrame), &aHash, &aPgno, &iZero);
+  walHashGet(pWal, walFramePage(pWal->hdr.mxFrame), &sLoc);
 
   /* Zero all hash-table entries that correspond to frame numbers greater
   ** than pWal->hdr.mxFrame.
   */
-  iLimit = pWal->hdr.mxFrame - iZero;
+  iLimit = pWal->hdr.mxFrame - sLoc.iZero;
   assert( iLimit>0 );
   for(i=0; i<HASHTABLE_NSLOT; i++){
-    if( aHash[i]>iLimit ){
-      aHash[i] = 0;
+    if( sLoc.aHash[i]>iLimit ){
+      sLoc.aHash[i] = 0;
     }
   }
   
   /* Zero the entries in the aPgno array that correspond to frames with
   ** frame numbers greater than pWal->hdr.mxFrame. 
   */
-  nByte = (int)((char *)aHash - (char *)&aPgno[iLimit+1]);
-  memset((void *)&aPgno[iLimit+1], 0, nByte);
+  nByte = (int)((char *)sLoc.aHash - (char *)&sLoc.aPgno[iLimit+1]);
+  memset((void *)&sLoc.aPgno[iLimit+1], 0, nByte);
 
 #ifdef SQLITE_ENABLE_EXPENSIVE_ASSERT
   /* Verify that the every entry in the mapping region is still reachable
@@ -1014,10 +1015,10 @@ static void walCleanupHash(Wal *pWal){
     int j;           /* Loop counter */
     int iKey;        /* Hash key */
     for(j=1; j<=iLimit; j++){
-      for(iKey=walHash(aPgno[j]); aHash[iKey]; iKey=walNextHash(iKey)){
-        if( aHash[iKey]==j ) break;
+      for(iKey=walHash(sLoc.aPgno[j]);sLoc.aHash[iKey];iKey=walNextHash(iKey)){
+        if( sLoc.aHash[iKey]==j ) break;
       }
-      assert( aHash[iKey]==j );
+      assert( sLoc.aHash[iKey]==j );
     }
   }
 #endif /* SQLITE_ENABLE_EXPENSIVE_ASSERT */
@@ -1030,11 +1031,9 @@ static void walCleanupHash(Wal *pWal){
 */
 static int walIndexAppend(Wal *pWal, u32 iFrame, u32 iPage){
   int rc;                         /* Return code */
-  u32 iZero = 0;                  /* One less than frame number of aPgno[1] */
-  volatile u32 *aPgno = 0;        /* Page number array */
-  volatile ht_slot *aHash = 0;    /* Hash table */
+  WalHashLoc sLoc;                /* Wal-index hash table location */
 
-  rc = walHashGet(pWal, walFramePage(iFrame), &aHash, &aPgno, &iZero);
+  rc = walHashGet(pWal, walFramePage(iFrame), &sLoc);
 
   /* Assuming the wal-index file was successfully mapped, populate the
   ** page number array and hash table entry.
@@ -1044,15 +1043,16 @@ static int walIndexAppend(Wal *pWal, u32 iFrame, u32 iPage){
     int idx;                      /* Value to write to hash-table slot */
     int nCollide;                 /* Number of hash collisions */
 
-    idx = iFrame - iZero;
+    idx = iFrame - sLoc.iZero;
     assert( idx <= HASHTABLE_NSLOT/2 + 1 );
     
     /* If this is the first entry to be added to this hash-table, zero the
     ** entire hash table and aPgno[] array before proceeding. 
     */
     if( idx==1 ){
-      int nByte = (int)((u8 *)&aHash[HASHTABLE_NSLOT] - (u8 *)&aPgno[1]);
-      memset((void*)&aPgno[1], 0, nByte);
+      int nByte = (int)((u8 *)&sLoc.aHash[HASHTABLE_NSLOT]
+                               - (u8 *)&sLoc.aPgno[1]);
+      memset((void*)&sLoc.aPgno[1], 0, nByte);
     }
 
     /* If the entry in aPgno[] is already set, then the previous writer
@@ -1061,18 +1061,18 @@ static int walIndexAppend(Wal *pWal, u32 iFrame, u32 iPage){
     ** Remove the remnants of that writers uncommitted transaction from 
     ** the hash-table before writing any new entries.
     */
-    if( aPgno[idx] ){
+    if( sLoc.aPgno[idx] ){
       walCleanupHash(pWal);
-      assert( !aPgno[idx] );
+      assert( !sLoc.aPgno[idx] );
     }
 
     /* Write the aPgno[] array entry and the hash-table slot. */
     nCollide = idx;
-    for(iKey=walHash(iPage); aHash[iKey]; iKey=walNextHash(iKey)){
+    for(iKey=walHash(iPage); sLoc.aHash[iKey]; iKey=walNextHash(iKey)){
       if( (nCollide--)==0 ) return SQLITE_CORRUPT_BKPT;
     }
-    aPgno[idx] = iPage;
-    aHash[iKey] = (ht_slot)idx;
+    sLoc.aPgno[idx] = iPage;
+    sLoc.aHash[iKey] = (ht_slot)idx;
 
 #ifdef SQLITE_ENABLE_EXPENSIVE_ASSERT
     /* Verify that the number of entries in the hash table exactly equals
@@ -1081,7 +1081,7 @@ static int walIndexAppend(Wal *pWal, u32 iFrame, u32 iPage){
     {
       int i;           /* Loop counter */
       int nEntry = 0;  /* Number of entries in the hash table */
-      for(i=0; i<HASHTABLE_NSLOT; i++){ if( aHash[i] ) nEntry++; }
+      for(i=0; i<HASHTABLE_NSLOT; i++){ if( sLoc.aHash[i] ) nEntry++; }
       assert( nEntry==idx );
     }
 
@@ -1093,10 +1093,12 @@ static int walIndexAppend(Wal *pWal, u32 iFrame, u32 iPage){
     if( (idx&0x3ff)==0 ){
       int i;           /* Loop counter */
       for(i=1; i<=idx; i++){
-        for(iKey=walHash(aPgno[i]); aHash[iKey]; iKey=walNextHash(iKey)){
-          if( aHash[iKey]==i ) break;
+        for(iKey=walHash(sLoc.aPgno[i]);
+            sLoc.aHash[iKey];
+            iKey=walNextHash(iKey)){
+          if( sLoc.aHash[iKey]==i ) break;
         }
-        assert( aHash[iKey]==i );
+        assert( sLoc.aHash[iKey]==i );
       }
     }
 #endif /* SQLITE_ENABLE_EXPENSIVE_ASSERT */
@@ -1634,33 +1636,31 @@ static int walIteratorInit(Wal *pWal, u32 nBackfill, WalIterator **pp){
   }
 
   for(i=walFramePage(nBackfill+1); rc==SQLITE_OK && i<nSegment; i++){
-    volatile ht_slot *aHash;
-    u32 iZero;
-    volatile u32 *aPgno;
+    WalHashLoc sLoc;
 
-    rc = walHashGet(pWal, i, &aHash, &aPgno, &iZero);
+    rc = walHashGet(pWal, i, &sLoc);
     if( rc==SQLITE_OK ){
       int j;                      /* Counter variable */
       int nEntry;                 /* Number of entries in this segment */
       ht_slot *aIndex;            /* Sorted index for this segment */
 
-      aPgno++;
+      sLoc.aPgno++;
       if( (i+1)==nSegment ){
-        nEntry = (int)(iLast - iZero);
+        nEntry = (int)(iLast - sLoc.iZero);
       }else{
-        nEntry = (int)((u32*)aHash - (u32*)aPgno);
+        nEntry = (int)((u32*)sLoc.aHash - (u32*)sLoc.aPgno);
       }
-      aIndex = &((ht_slot *)&p->aSegment[p->nSegment])[iZero];
-      iZero++;
+      aIndex = &((ht_slot *)&p->aSegment[p->nSegment])[sLoc.iZero];
+      sLoc.iZero++;
   
       for(j=0; j<nEntry; j++){
         aIndex[j] = (ht_slot)j;
       }
-      walMergesort((u32 *)aPgno, aTmp, aIndex, &nEntry);
-      p->aSegment[i].iZero = iZero;
+      walMergesort((u32 *)sLoc.aPgno, aTmp, aIndex, &nEntry);
+      p->aSegment[i].iZero = sLoc.iZero;
       p->aSegment[i].nEntry = nEntry;
       p->aSegment[i].aIndex = aIndex;
-      p->aSegment[i].aPgno = (u32 *)aPgno;
+      p->aSegment[i].aPgno = (u32 *)sLoc.aPgno;
     }
   }
   sqlite3_free(aTmp);
@@ -2673,16 +2673,14 @@ int sqlite3WalSnapshotRecover(Wal *pWal){
       }else{
         u32 i = pInfo->nBackfillAttempted;
         for(i=pInfo->nBackfillAttempted; i>pInfo->nBackfill; i--){
-          volatile ht_slot *dummy;
-          volatile u32 *aPgno;      /* Array of page numbers */
-          u32 iZero;                /* Frame corresponding to aPgno[0] */
+          WalHashLoc sLoc;          /* Hash table location */
           u32 pgno;                 /* Page number in db file */
           i64 iDbOff;               /* Offset of db file entry */
           i64 iWalOff;              /* Offset of wal file entry */
 
-          rc = walHashGet(pWal, walFramePage(i), &dummy, &aPgno, &iZero);
+          rc = walHashGet(pWal, walFramePage(i), &sLoc);
           if( rc!=SQLITE_OK ) break;
-          pgno = aPgno[i-iZero];
+          pgno = sLoc.aPgno[i-sLoc.iZero];
           iDbOff = (i64)(pgno-1) * szPage;
 
           if( iDbOff+szPage<=szDb ){
@@ -2883,21 +2881,20 @@ int sqlite3WalFindFrame(
   */
   iMinHash = walFramePage(pWal->minFrame);
   for(iHash=walFramePage(iLast); iHash>=iMinHash; iHash--){
-    volatile ht_slot *aHash;      /* Pointer to hash table */
-    volatile u32 *aPgno;          /* Pointer to array of page numbers */
-    u32 iZero;                    /* Frame number corresponding to aPgno[0] */
+    WalHashLoc sLoc;              /* Hash table location */
     int iKey;                     /* Hash slot index */
     int nCollide;                 /* Number of hash collisions remaining */
     int rc;                       /* Error code */
 
-    rc = walHashGet(pWal, iHash, &aHash, &aPgno, &iZero);
+    rc = walHashGet(pWal, iHash, &sLoc);
     if( rc!=SQLITE_OK ){
       return rc;
     }
     nCollide = HASHTABLE_NSLOT;
-    for(iKey=walHash(pgno); aHash[iKey]; iKey=walNextHash(iKey)){
-      u32 iFrame = aHash[iKey] + iZero;
-      if( iFrame<=iLast && iFrame>=pWal->minFrame && aPgno[aHash[iKey]]==pgno ){
+    for(iKey=walHash(pgno); sLoc.aHash[iKey]; iKey=walNextHash(iKey)){
+      u32 iFrame = sLoc.aHash[iKey] + sLoc.iZero;
+      if( iFrame<=iLast && iFrame>=pWal->minFrame
+       && sLoc.aPgno[sLoc.aHash[iKey]]==pgno ){
         assert( iFrame>iRead || CORRUPT_DB );
         iRead = iFrame;
       }

From 8b98560d6eb533b552367134162218902c868584 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 9 Jun 2018 17:43:45 +0000
Subject: [PATCH 049/154] Add support for FILTER clause on aggregate window
 functions.

FossilOrigin-Name: ceaf798ea09184bc0e7d3dcf3ad4d909d2e4e7018754a8417a813f33010140a7
---
 manifest          |  22 +--
 manifest.uuid     |   2 +-
 src/window.c      |  29 +++-
 test/window1.test |   4 +
 test/window3.tcl  |  21 ++-
 test/window3.test | 340 ++++++++++++++++++++++++++++++++++++++++++++++
 test/window4.tcl  |   6 +
 test/window4.test |  10 ++
 8 files changed, 419 insertions(+), 15 deletions(-)

diff --git a/manifest b/manifest
index 5205165f43..7adc9e5345 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\ssupport\sfor\sthe\sWINDOW\sclause.
-D 2018-06-08T20:58:27.833
+C Add\ssupport\sfor\sFILTER\sclause\son\saggregate\swindow\sfunctions.
+D 2018-06-09T17:43:45.368
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -583,7 +583,7 @@ F src/where.c 7dcb13bbcfd8c926546946556014c8f5aa0829eb8b65a6c18f8d187d265200a5
 F src/whereInt.h b09753e74bf92a8b17cf0e41ca94c44432c454544be6699b5311dcc57bf229c6
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c e90b2e76dcabc81edff56633bf281bc01d93b71e0c81482dc06925ce39f5844a
-F src/window.c 31bd22def29a71144056ddd2a9c4344648c2b89f63a76e7695defdf7ed293216
+F src/window.c 72c08229b59a447db5ffb8e87680105549465df502092e0e24f9451e6b082031
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1617,13 +1617,13 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 4561399c91f892279fef028e44133f2c73b8eb22dc788afee508563bb7ad1cdc
+F test/window1.test 6c648f3fa79b29ef114c4e73ae8adefae70e4d3aae4cc36a3318ab237b64e9c5
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl f2596e9d6bf8d4441eb7a0d3272594185c3b56e8d2413a54b12e6e7557517674
-F test/window3.test e43a143131e19a27148215431cf7cec8815c32c7ec04f1cf79d068adff9be028
-F test/window4.tcl 2da10ad7a6eedc584c3faa551ff6d0a7f8cc18dee95416d05af389f88ef0ac1a
-F test/window4.test bef29a267ee9ac7ca421ef69ba37d19f7e93988f1c052cb09cbb946f309c5cbe
+F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
+F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
+F test/window4.tcl e459eb2fe561d7731008a80d071e2d995c3554706de764c9f456f54357e70316
+F test/window4.test 207ab5e54ba0fec5e1157d136489b615a0e88dc8f9fb81cd77e11f20d2ddd72e
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 236cb75bd1f0d5eb86aa5f52d8d548e7263c34633833dcea9dfc934f142113b8
-R 42923cbfbd64d075a9e38b7b4b4b969d
+P 19c983b511f1c823fdfb051713681b4c779f02fa83b41189afca0a9b8b72048d
+R 4922e87ad399c6f94f1076fca5cd38fd
 U dan
-Z dee7bf2abe4eeccc35a23aee41391161
+Z db6d4e8c44c5703bb20011e4b4391c5c
diff --git a/manifest.uuid b/manifest.uuid
index 9c7373451d..4cf7a0f94a 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-19c983b511f1c823fdfb051713681b4c779f02fa83b41189afca0a9b8b72048d
\ No newline at end of file
+ceaf798ea09184bc0e7d3dcf3ad4d909d2e4e7018754a8417a813f33010140a7
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 446f5c129a..fc4c7d905e 100644
--- a/src/window.c
+++ b/src/window.c
@@ -411,6 +411,11 @@ void sqlite3WindowUpdate(
   }
   if( pFunc->funcFlags & SQLITE_FUNC_WINDOW ){
     sqlite3 *db = pParse->db;
+    if( pWin->pFilter ){
+      sqlite3ErrorMsg(pParse, 
+          "FILTER clause may only be used with aggregate window functions"
+      );
+    }else
     if( pFunc->xSFunc==row_numberStepFunc || pFunc->xSFunc==ntileStepFunc ){
       sqlite3ExprDelete(db, pWin->pStart);
       sqlite3ExprDelete(db, pWin->pEnd);
@@ -418,7 +423,7 @@ void sqlite3WindowUpdate(
       pWin->eType = TK_ROWS;
       pWin->eStart = TK_UNBOUNDED;
       pWin->eEnd = TK_CURRENT;
-    }
+    }else
 
     if( pFunc->xSFunc==dense_rankStepFunc || pFunc->xSFunc==rankStepFunc
      || pFunc->xSFunc==percent_rankStepFunc || pFunc->xSFunc==cume_distStepFunc
@@ -602,6 +607,10 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
     for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
       pWin->iArgCol = (pSublist ? pSublist->nExpr : 0);
       pSublist = exprListAppendList(pParse, pSublist, pWin->pOwner->x.pList);
+      if( pWin->pFilter ){
+        Expr *pFilter = sqlite3ExprDup(db, pWin->pFilter, 0);
+        pSublist = sqlite3ExprListAppend(pParse, pSublist, pFilter);
+      }
       pWin->regAccum = ++pParse->nMem;
       pWin->regResult = ++pParse->nMem;
       sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
@@ -819,14 +828,29 @@ static void windowAggStep(
     ){
       /* no-op */
     }else{
+      int addrIf = 0;
+      if( pWin->pFilter ){
+        int regTmp;
+        if( csr>0 ){
+          regTmp = sqlite3GetTempReg(pParse);
+          sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+pWin->nArg,regTmp);
+        }else{
+          regTmp = regArg + pWin->nArg;
+        }
+        addrIf = sqlite3VdbeAddOp3(v, OP_IfNot, regTmp, 0, 1);
+        if( csr>0 ){
+          sqlite3ReleaseTempReg(pParse, regTmp);
+        }
+      }
       if( pWin->pFunc->funcFlags & SQLITE_FUNC_NEEDCOLL ){
         CollSeq *pColl;
-        pColl = sqlite3ExprCollSeq(pParse, pWin->pOwner->x.pList->a[0].pExpr);
+        pColl = sqlite3ExprNNCollSeq(pParse, pWin->pOwner->x.pList->a[0].pExpr);
         sqlite3VdbeAddOp4(v, OP_CollSeq, 0,0,0, (const char*)pColl, P4_COLLSEQ);
       }
       sqlite3VdbeAddOp3(v, OP_AggStep0, bInverse, regArg, pWin->regAccum);
       sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
       sqlite3VdbeChangeP5(v, (u8)nArg);
+      if( addrIf ) sqlite3VdbeJumpHere(v, addrIf);
     }
   }
 }
@@ -855,6 +879,7 @@ static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
       sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
       if( bFinal ){
         sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
+        sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
       }else{
         sqlite3VdbeChangeP3(v, -1, pWin->regResult);
       }
diff --git a/test/window1.test b/test/window1.test
index 93db98a72f..81541dad4e 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -214,5 +214,9 @@ do_execsql_test 6.2 {
   a 1 1 a 2 2 a 3 3 a 4 4 a 5 5 a 6 6 a 7 7
 }
 
+do_catchsql_test 3.5 {
+  SELECT x, lag(x) FILTER (WHERE (x%2)=0) OVER w FROM t1 
+  WINDOW w AS (ORDER BY x)
+} {1 {FILTER clause may only be used with aggregate window functions}}
 
 finish_test
diff --git a/test/window3.tcl b/test/window3.tcl
index 184fb36beb..6ad7993029 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -284,7 +284,6 @@ foreach {tn window} {
   execsql_test 1.$tn.14.1 "
     SELECT string_agg(CAST(b AS TEXT), '.') OVER (ORDER BY a $window) FROM t2
   "
-
   execsql_test 1.$tn.14.2 "
     SELECT string_agg(CAST(b AS TEXT), '.') OVER (PARTITION BY b%10 ORDER BY a $window) FROM t2
   "
@@ -300,6 +299,26 @@ foreach {tn window} {
   execsql_test 1.$tn.14.6 "
     SELECT string_agg(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
   "
+
+  execsql_test 1.$tn.15.1 "
+    SELECT string_agg(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a $window) FROM t2
+  "
+
+  execsql_test 1.$tn.15.2 "
+    SELECT string_agg(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a $window) FROM t2
+  "
+
+  execsql_test 1.$tn.15.3 "
+    SELECT string_agg(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a $window) FROM t2
+  "
+
+  execsql_test 1.$tn.15.4 "
+    SELECT string_agg(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a $window) FROM t2
+  "
 }
 
 finish_test
diff --git a/test/window3.test b/test/window3.test
index eb65443d97..7fe106d033 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -417,6 +417,26 @@ do_execsql_test 1.1.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.1.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {{}   74   74   74.74   74.74   74.74.99   74.74.99   74.74.99.33   74.74.99.33   74.74.99.33.89   74.74.99.33.89   74.74.99.33.89.96   74.74.99.33.89.96   74.74.99.33.89.96.38   74.74.99.33.89.96.38   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
+
+do_execsql_test 1.1.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.1.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.1.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {89   89.6   89.6.29   89.6.29.47   89.6.29.47.59   89.6.29.47.59.28   89.6.29.47.59.28.75   89.6.29.47.59.28.75.78   89.6.29.47.59.28.75.78.72   89.6.29.47.59.28.75.78.72.98   89.6.29.47.59.28.75.78.72.98.87   89.6.29.47.59.28.75.78.72.98.87.73   89.6.29.47.59.28.75.78.72.98.87.73.96   89.6.29.47.59.28.75.78.72.98.87.73.96.74   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.96   74.96.97   74.96.97.84   74.96.97.84.86   74.96.97.84.86.32   74.96.97.84.86.32.25   74.96.97.84.86.32.25.89   74.96.97.84.86.32.25.89.29   74.96.97.84.86.32.25.89.29.9   74.96.97.84.86.32.25.89.29.9.21   74.96.97.84.86.32.25.89.29.9.21.12   74.96.97.84.86.32.25.89.29.9.21.12.88   74.96.97.84.86.32.25.89.29.9.21.12.88.55   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.38   74.38.46   74.38.46.23   74.38.46.23.61   74.38.46.23.61.3   74.38.46.23.61.3.1   74.38.46.23.61.3.1.76   74.38.46.23.61.3.1.76.63   74.38.46.23.61.3.1.76.63.73   74.38.46.23.61.3.1.76.63.73.65   74.38.46.23.61.3.1.76.63.73.65.20   74.38.46.23.61.3.1.76.63.73.65.20.8   74.38.46.23.61.3.1.76.63.73.65.20.8.77   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   99.39   99.39.54   99.39.54.16   99.39.54.16.85   99.39.54.16.85.22   99.39.54.16.85.22.40   99.39.54.16.85.22.40.4   99.39.54.16.85.22.40.4.87   99.39.54.16.85.22.40.4.87.65   99.39.54.16.85.22.40.4.87.65.5   99.39.54.16.85.22.40.4.87.65.5.31   99.39.54.16.85.22.40.4.87.65.5.31.49   99.39.54.16.85.22.40.4.87.65.5.31.49.2   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33.91   33.91.8   33.91.8.65   33.91.8.65.85   33.91.8.65.85.55   33.91.8.65.85.55.56   33.91.8.65.85.55.56.42   33.91.8.65.85.55.56.42.80   33.91.8.65.85.55.56.42.80.58   33.91.8.65.85.55.56.42.80.58.11   33.91.8.65.85.55.56.42.80.58.11.95   33.91.8.65.85.55.56.42.80.58.11.95.90   33.91.8.65.85.55.56.42.80.58.11.95.90.85   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -777,6 +797,26 @@ do_execsql_test 1.2.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.2.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
+
+do_execsql_test 1.2.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.2.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.2.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -1137,6 +1177,26 @@ do_execsql_test 1.3.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.3.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {{}   74   {}   74   {}   99   {}   33   {}   89   {}   96   {}   38   {}   39   {}   91   {}   6   {}   97   {}   46   {}   54   {}   8   {}   29   {}   84   {}   23   {}   16   {}   65   {}   47   {}   86   {}   61   {}   85   {}   85   {}   59   {}   32   {}   3   {}   22   {}   55   {}   28   {}   25   {}   1   {}   40   {}   56   {}   75   {}   89   {}   76   {}   4   {}   42   {}   78   {}   29   {}   63   {}   87   {}   80   {}   72   {}   9   {}   73   {}   65   {}   58   {}   98   {}   21   {}   65   {}   5   {}   11   {}   87   {}   12   {}   20   {}   31   {}   95   {}   73   {}   88   {}   8   {}   49   {}   90   {}   96   {}   55   {}   77   {}   2   {}   85   {}   74   {}   70   {}   19   {}   26   {}   47   {}   90   {}   58   {}   9   {}   72   {}   33   {}   75   {}   81   {}   23   {}   13   {}   14   {}   91   {}   91   {}   15   {}   36   {}   3   {}   69   {}   52   {}   50   {}   10   {}   33   {}   39   {}   58   {}   38   {}   83   {}   82   {}   7}
+
+do_execsql_test 1.3.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.3.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {89   6   29   47   59   28   75   78   72   98   87   73   96   74   90   75   91   69   39   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   96   97   84   86   32   25   89   29   9   21   12   88   55   70   58   81   91   52   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   38   46   23   61   3   1   76   63   73   65   20   8   77   19   9   23   15   50   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   39   54   16   85   22   40   4   87   65   5   31   49   2   26   72   13   36   10   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   91   8   65   85   55   56   42   80   58   11   95   90   85   47   33   14   3   33   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -1497,6 +1557,26 @@ do_execsql_test 1.4.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.4.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   33.39.58.38.83.82.7   33.39.58.38.83.82.7   39.58.38.83.82.7   39.58.38.83.82.7   58.38.83.82.7   58.38.83.82.7   38.83.82.7   38.83.82.7   83.82.7   83.82.7   82.7   82.7   7   7}
+
+do_execsql_test 1.4.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.4.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   75.78.72.98.87.73.96.74.90.75.91.69.39.7   78.72.98.87.73.96.74.90.75.91.69.39.7   72.98.87.73.96.74.90.75.91.69.39.7   98.87.73.96.74.90.75.91.69.39.7   87.73.96.74.90.75.91.69.39.7   73.96.74.90.75.91.69.39.7   96.74.90.75.91.69.39.7   74.90.75.91.69.39.7   90.75.91.69.39.7   75.91.69.39.7   91.69.39.7   69.39.7   39.7   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   25.89.29.9.21.12.88.55.70.58.81.91.52.58   89.29.9.21.12.88.55.70.58.81.91.52.58   29.9.21.12.88.55.70.58.81.91.52.58   9.21.12.88.55.70.58.81.91.52.58   21.12.88.55.70.58.81.91.52.58   12.88.55.70.58.81.91.52.58   88.55.70.58.81.91.52.58   55.70.58.81.91.52.58   70.58.81.91.52.58   58.81.91.52.58   81.91.52.58   91.52.58   52.58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   1.76.63.73.65.20.8.77.19.9.23.15.50.38   76.63.73.65.20.8.77.19.9.23.15.50.38   63.73.65.20.8.77.19.9.23.15.50.38   73.65.20.8.77.19.9.23.15.50.38   65.20.8.77.19.9.23.15.50.38   20.8.77.19.9.23.15.50.38   8.77.19.9.23.15.50.38   77.19.9.23.15.50.38   19.9.23.15.50.38   9.23.15.50.38   23.15.50.38   15.50.38   50.38   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   40.4.87.65.5.31.49.2.26.72.13.36.10.83   4.87.65.5.31.49.2.26.72.13.36.10.83   87.65.5.31.49.2.26.72.13.36.10.83   65.5.31.49.2.26.72.13.36.10.83   5.31.49.2.26.72.13.36.10.83   31.49.2.26.72.13.36.10.83   49.2.26.72.13.36.10.83   2.26.72.13.36.10.83   26.72.13.36.10.83   72.13.36.10.83   13.36.10.83   36.10.83   10.83   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   56.42.80.58.11.95.90.85.47.33.14.3.33.82   42.80.58.11.95.90.85.47.33.14.3.33.82   80.58.11.95.90.85.47.33.14.3.33.82   58.11.95.90.85.47.33.14.3.33.82   11.95.90.85.47.33.14.3.33.82   95.90.85.47.33.14.3.33.82   90.85.47.33.14.3.33.82   85.47.33.14.3.33.82   47.33.14.3.33.82   33.14.3.33.82   14.3.33.82   3.33.82   33.82   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -1857,6 +1937,26 @@ do_execsql_test 1.5.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.5.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   74   74   74.74   74.74   74.74.99   74.74.99   74.74.99.33   74.74.99.33   74.74.99.33.89   74.74.99.33.89   74.74.99.33.89.96   74.74.99.33.89.96   74.74.99.33.89.96.38   74.74.99.33.89.96.38   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83}
+
+do_execsql_test 1.5.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.5.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.5.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
+} {{}   {}   {}   {}   89   89.6   89.6.29   89.6.29.47   89.6.29.47.59   89.6.29.47.59.28   89.6.29.47.59.28.75   89.6.29.47.59.28.75.78   89.6.29.47.59.28.75.78.72   89.6.29.47.59.28.75.78.72.98   89.6.29.47.59.28.75.78.72.98.87   89.6.29.47.59.28.75.78.72.98.87.73   89.6.29.47.59.28.75.78.72.98.87.73.96   89.6.29.47.59.28.75.78.72.98.87.73.96.74   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.96   74.96.97   74.96.97.84   74.96.97.84.86   74.96.97.84.86.32   74.96.97.84.86.32.25   74.96.97.84.86.32.25.89   74.96.97.84.86.32.25.89.29   74.96.97.84.86.32.25.89.29.9   74.96.97.84.86.32.25.89.29.9.21   74.96.97.84.86.32.25.89.29.9.21.12   74.96.97.84.86.32.25.89.29.9.21.12.88   74.96.97.84.86.32.25.89.29.9.21.12.88.55   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.38   74.38.46   74.38.46.23   74.38.46.23.61   74.38.46.23.61.3   74.38.46.23.61.3.1   74.38.46.23.61.3.1.76   74.38.46.23.61.3.1.76.63   74.38.46.23.61.3.1.76.63.73   74.38.46.23.61.3.1.76.63.73.65   74.38.46.23.61.3.1.76.63.73.65.20   74.38.46.23.61.3.1.76.63.73.65.20.8   74.38.46.23.61.3.1.76.63.73.65.20.8.77   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   99.39   99.39.54   99.39.54.16   99.39.54.16.85   99.39.54.16.85.22   99.39.54.16.85.22.40   99.39.54.16.85.22.40.4   99.39.54.16.85.22.40.4.87   99.39.54.16.85.22.40.4.87.65   99.39.54.16.85.22.40.4.87.65.5   99.39.54.16.85.22.40.4.87.65.5.31   99.39.54.16.85.22.40.4.87.65.5.31.49   99.39.54.16.85.22.40.4.87.65.5.31.49.2   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33.91   33.91.8   33.91.8.65   33.91.8.65.85   33.91.8.65.85.55   33.91.8.65.85.55.56   33.91.8.65.85.55.56.42   33.91.8.65.85.55.56.42.80   33.91.8.65.85.55.56.42.80.58   33.91.8.65.85.55.56.42.80.58.11   33.91.8.65.85.55.56.42.80.58.11.95   33.91.8.65.85.55.56.42.80.58.11.95.90   33.91.8.65.85.55.56.42.80.58.11.95.90.85   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.6.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   0   74   74   74   74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83}
@@ -2217,6 +2317,26 @@ do_execsql_test 1.6.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.6.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   {}   74   74   74.74   74   74.99   99   99.33   33   33.89   89   89.96   96   96.38   38   38.39   39   39.91   91   91.6   6   6.97   97   97.46   46   46.54   54   54.8   8   8.29   29   29.84   84   84.23   23   23.16   16   16.65   65   65.47   47   47.86   86   86.61   61   61.85   85   85.85   85   85.59   59   59.32   32   32.3   3   3.22   22   22.55   55   55.28   28   28.25   25   25.1   1   1.40   40   40.56   56   56.75   75   75.89   89   89.76   76   76.4   4   4.42   42   42.78   78   78.29   29   29.63   63   63.87   87   87.80   80   80.72   72   72.9   9   9.73   73   73.65   65   65.58   58   58.98   98   98.21   21   21.65   65   65.5   5   5.11   11   11.87   87   87.12   12   12.20   20   20.31   31   31.95   95   95.73   73   73.88   88   88.8   8   8.49   49   49.90   90   90.96   96   96.55   55   55.77   77   77.2   2   2.85   85   85.74   74   74.70   70   70.19   19   19.26   26   26.47   47   47.90   90   90.58   58   58.9   9   9.72   72   72.33   33   33.75   75   75.81   81   81.23   23   23.13   13   13.14   14   14.91   91   91.91   91   91.15   15   15.36   36   36.3   3   3.69   69   69.52   52   52.50   50   50.10   10   10.33   33   33.39   39   39.58   58   58.38   38   38.83   83   83.82}
+
+do_execsql_test 1.6.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.6.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
+} {{}   {}   89   89.6   89.6.29   6.29.47   29.47.59   47.59.28   59.28.75   28.75.78   75.78.72   78.72.98   72.98.87   98.87.73   87.73.96   73.96.74   96.74.90   74.90.75   90.75.91   75.91.69   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.96   74.96.97   96.97.84   97.84.86   84.86.32   86.32.25   32.25.89   25.89.29   89.29.9   29.9.21   9.21.12   21.12.88   12.88.55   88.55.70   55.70.58   70.58.81   58.81.91   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.38   74.38.46   38.46.23   46.23.61   23.61.3   61.3.1   3.1.76   1.76.63   76.63.73   63.73.65   73.65.20   65.20.8   20.8.77   8.77.19   77.19.9   19.9.23   9.23.15   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   99.39   99.39.54   39.54.16   54.16.85   16.85.22   85.22.40   22.40.4   40.4.87   4.87.65   87.65.5   65.5.31   5.31.49   31.49.2   49.2.26   2.26.72   26.72.13   72.13.36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33.91   33.91.8   91.8.65   8.65.85   65.85.55   85.55.56   55.56.42   56.42.80   42.80.58   80.58.11   58.11.95   11.95.90   95.90.85   90.85.47   85.47.33   47.33.14   33.14.3   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -2577,6 +2697,26 @@ do_execsql_test 1.7.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.7.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {{}   74   74   74.74   74.74   74.74.99   74.74.99   74.74.99.33   74.74.99.33   74.74.99.33.89   74.74.99.33.89   74.74.99.33.89.96   74.74.99.33.89.96   74.74.99.33.89.96.38   74.74.99.33.89.96.38   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
+
+do_execsql_test 1.7.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.7.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.7.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
+} {89   89.6   89.6.29   89.6.29.47   89.6.29.47.59   89.6.29.47.59.28   89.6.29.47.59.28.75   89.6.29.47.59.28.75.78   89.6.29.47.59.28.75.78.72   89.6.29.47.59.28.75.78.72.98   89.6.29.47.59.28.75.78.72.98.87   89.6.29.47.59.28.75.78.72.98.87.73   89.6.29.47.59.28.75.78.72.98.87.73.96   89.6.29.47.59.28.75.78.72.98.87.73.96.74   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.96   74.96.97   74.96.97.84   74.96.97.84.86   74.96.97.84.86.32   74.96.97.84.86.32.25   74.96.97.84.86.32.25.89   74.96.97.84.86.32.25.89.29   74.96.97.84.86.32.25.89.29.9   74.96.97.84.86.32.25.89.29.9.21   74.96.97.84.86.32.25.89.29.9.21.12   74.96.97.84.86.32.25.89.29.9.21.12.88   74.96.97.84.86.32.25.89.29.9.21.12.88.55   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.38   74.38.46   74.38.46.23   74.38.46.23.61   74.38.46.23.61.3   74.38.46.23.61.3.1   74.38.46.23.61.3.1.76   74.38.46.23.61.3.1.76.63   74.38.46.23.61.3.1.76.63.73   74.38.46.23.61.3.1.76.63.73.65   74.38.46.23.61.3.1.76.63.73.65.20   74.38.46.23.61.3.1.76.63.73.65.20.8   74.38.46.23.61.3.1.76.63.73.65.20.8.77   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   99.39   99.39.54   99.39.54.16   99.39.54.16.85   99.39.54.16.85.22   99.39.54.16.85.22.40   99.39.54.16.85.22.40.4   99.39.54.16.85.22.40.4.87   99.39.54.16.85.22.40.4.87.65   99.39.54.16.85.22.40.4.87.65.5   99.39.54.16.85.22.40.4.87.65.5.31   99.39.54.16.85.22.40.4.87.65.5.31.49   99.39.54.16.85.22.40.4.87.65.5.31.49.2   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33.91   33.91.8   33.91.8.65   33.91.8.65.85   33.91.8.65.85.55   33.91.8.65.85.55.56   33.91.8.65.85.55.56.42   33.91.8.65.85.55.56.42.80   33.91.8.65.85.55.56.42.80.58   33.91.8.65.85.55.56.42.80.58.11   33.91.8.65.85.55.56.42.80.58.11.95   33.91.8.65.85.55.56.42.80.58.11.95.90   33.91.8.65.85.55.56.42.80.58.11.95.90.85   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {0   74   74   74   74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83}
@@ -2937,6 +3077,26 @@ do_execsql_test 1.8.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.8.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {{}   74   74   74.74   74.74   74.74.99   74.99   74.99.33   99.33   99.33.89   33.89   33.89.96   89.96   89.96.38   96.38   96.38.39   38.39   38.39.91   39.91   39.91.6   91.6   91.6.97   6.97   6.97.46   97.46   97.46.54   46.54   46.54.8   54.8   54.8.29   8.29   8.29.84   29.84   29.84.23   84.23   84.23.16   23.16   23.16.65   16.65   16.65.47   65.47   65.47.86   47.86   47.86.61   86.61   86.61.85   61.85   61.85.85   85.85   85.85.59   85.59   85.59.32   59.32   59.32.3   32.3   32.3.22   3.22   3.22.55   22.55   22.55.28   55.28   55.28.25   28.25   28.25.1   25.1   25.1.40   1.40   1.40.56   40.56   40.56.75   56.75   56.75.89   75.89   75.89.76   89.76   89.76.4   76.4   76.4.42   4.42   4.42.78   42.78   42.78.29   78.29   78.29.63   29.63   29.63.87   63.87   63.87.80   87.80   87.80.72   80.72   80.72.9   72.9   72.9.73   9.73   9.73.65   73.65   73.65.58   65.58   65.58.98   58.98   58.98.21   98.21   98.21.65   21.65   21.65.5   65.5   65.5.11   5.11   5.11.87   11.87   11.87.12   87.12   87.12.20   12.20   12.20.31   20.31   20.31.95   31.95   31.95.73   95.73   95.73.88   73.88   73.88.8   88.8   88.8.49   8.49   8.49.90   49.90   49.90.96   90.96   90.96.55   96.55   96.55.77   55.77   55.77.2   77.2   77.2.85   2.85   2.85.74   85.74   85.74.70   74.70   74.70.19   70.19   70.19.26   19.26   19.26.47   26.47   26.47.90   47.90   47.90.58   90.58   90.58.9   58.9   58.9.72   9.72   9.72.33   72.33   72.33.75   33.75   33.75.81   75.81   75.81.23   81.23   81.23.13   23.13   23.13.14   13.14   13.14.91   14.91   14.91.91   91.91   91.91.15   91.15   91.15.36   15.36   15.36.3   36.3   36.3.69   3.69   3.69.52   69.52   69.52.50   52.50   52.50.10   50.10   50.10.33   10.33   10.33.39   33.39   33.39.58   39.58   39.58.38   58.38   58.38.83   38.83   38.83.82   83.82   83.82.7}
+
+do_execsql_test 1.8.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.8.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
+} {89   89.6   89.6.29   89.6.29.47   89.6.29.47.59   6.29.47.59.28   29.47.59.28.75   47.59.28.75.78   59.28.75.78.72   28.75.78.72.98   75.78.72.98.87   78.72.98.87.73   72.98.87.73.96   98.87.73.96.74   87.73.96.74.90   73.96.74.90.75   96.74.90.75.91   74.90.75.91.69   90.75.91.69.39   75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.96   74.96.97   74.96.97.84   74.96.97.84.86   96.97.84.86.32   97.84.86.32.25   84.86.32.25.89   86.32.25.89.29   32.25.89.29.9   25.89.29.9.21   89.29.9.21.12   29.9.21.12.88   9.21.12.88.55   21.12.88.55.70   12.88.55.70.58   88.55.70.58.81   55.70.58.81.91   70.58.81.91.52   58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.38   74.38.46   74.38.46.23   74.38.46.23.61   38.46.23.61.3   46.23.61.3.1   23.61.3.1.76   61.3.1.76.63   3.1.76.63.73   1.76.63.73.65   76.63.73.65.20   63.73.65.20.8   73.65.20.8.77   65.20.8.77.19   20.8.77.19.9   8.77.19.9.23   77.19.9.23.15   19.9.23.15.50   9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   99.39   99.39.54   99.39.54.16   99.39.54.16.85   39.54.16.85.22   54.16.85.22.40   16.85.22.40.4   85.22.40.4.87   22.40.4.87.65   40.4.87.65.5   4.87.65.5.31   87.65.5.31.49   65.5.31.49.2   5.31.49.2.26   31.49.2.26.72   49.2.26.72.13   2.26.72.13.36   26.72.13.36.10   72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33.91   33.91.8   33.91.8.65   33.91.8.65.85   91.8.65.85.55   8.65.85.55.56   65.85.55.56.42   85.55.56.42.80   55.56.42.80.58   56.42.80.58.11   42.80.58.11.95   80.58.11.95.90   58.11.95.90.85   11.95.90.85.47   95.90.85.47.33   90.85.47.33.14   85.47.33.14.3   47.33.14.3.33   33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {0   74   41   74   23   99   26   33   2   89   81   96   59   38   68   39   62   91   46   6   99   97   27   46   78   54   97   8   67   29   93   84   77   23   16   16   93   65   35   47   7   86   74   61   91   85   24   85   43   59   12   32   56   3   91   22   90   55   15   28   89   25   47   1   56   40   43   56   16   75   36   89   98   76   81   4   94   42   30   78   33   29   53   63   2   87   37   80   84   72   41   9   61   73   95   65   13   58   96   98   1   21   74   65   35   5   73   11   51   87   41   12   8   20   31   31   15   95   22   73   79   88   34   8   11   49   34   90   59   96   60   55   75   77   44   2   7   85   57   74   29   70   59   19   39   26   26   47   80   90   36   58   47   9   72   72   66   33   93   75   64   81   9   23   37   13   12   14   62   91   36   91   33   15   34   36   99   3   95   69   58   52   30   50   84   10   84   33   21   39   44   58   30   38   34   83   27   82   17   7}
@@ -3297,6 +3457,26 @@ do_execsql_test 1.9.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.9.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {{}   74   {}   74   {}   99   {}   33   {}   89   {}   96   {}   38   {}   39   {}   91   {}   6   {}   97   {}   46   {}   54   {}   8   {}   29   {}   84   {}   23   {}   16   {}   65   {}   47   {}   86   {}   61   {}   85   {}   85   {}   59   {}   32   {}   3   {}   22   {}   55   {}   28   {}   25   {}   1   {}   40   {}   56   {}   75   {}   89   {}   76   {}   4   {}   42   {}   78   {}   29   {}   63   {}   87   {}   80   {}   72   {}   9   {}   73   {}   65   {}   58   {}   98   {}   21   {}   65   {}   5   {}   11   {}   87   {}   12   {}   20   {}   31   {}   95   {}   73   {}   88   {}   8   {}   49   {}   90   {}   96   {}   55   {}   77   {}   2   {}   85   {}   74   {}   70   {}   19   {}   26   {}   47   {}   90   {}   58   {}   9   {}   72   {}   33   {}   75   {}   81   {}   23   {}   13   {}   14   {}   91   {}   91   {}   15   {}   36   {}   3   {}   69   {}   52   {}   50   {}   10   {}   33   {}   39   {}   58   {}   38   {}   83   {}   82   {}   7}
+
+do_execsql_test 1.9.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.9.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
+} {89   6   29   47   59   28   75   78   72   98   87   73   96   74   90   75   91   69   39   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   96   97   84   86   32   25   89   29   9   21   12   88   55   70   58   81   91   52   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   38   46   23   61   3   1   76   63   73   65   20   8   77   19   9   23   15   50   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   39   54   16   85   22   40   4   87   65   5   31   49   2   26   72   13   36   10   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   91   8   65   85   55   56   42   80   58   11   95   90   85   47   33   14   3   33   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.10.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -3657,6 +3837,26 @@ do_execsql_test 1.10.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.10.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {74.74   74.74.99   74.74.99   74.74.99.33   74.74.99.33   74.74.99.33.89   74.74.99.33.89   74.74.99.33.89.96   74.74.99.33.89.96   74.74.99.33.89.96.38   74.74.99.33.89.96.38   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
+
+do_execsql_test 1.10.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.10.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.10.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
+} {89.6.29.47.59   89.6.29.47.59.28   89.6.29.47.59.28.75   89.6.29.47.59.28.75.78   89.6.29.47.59.28.75.78.72   89.6.29.47.59.28.75.78.72.98   89.6.29.47.59.28.75.78.72.98.87   89.6.29.47.59.28.75.78.72.98.87.73   89.6.29.47.59.28.75.78.72.98.87.73.96   89.6.29.47.59.28.75.78.72.98.87.73.96.74   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86   74.96.97.84.86.32   74.96.97.84.86.32.25   74.96.97.84.86.32.25.89   74.96.97.84.86.32.25.89.29   74.96.97.84.86.32.25.89.29.9   74.96.97.84.86.32.25.89.29.9.21   74.96.97.84.86.32.25.89.29.9.21.12   74.96.97.84.86.32.25.89.29.9.21.12.88   74.96.97.84.86.32.25.89.29.9.21.12.88.55   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61   74.38.46.23.61.3   74.38.46.23.61.3.1   74.38.46.23.61.3.1.76   74.38.46.23.61.3.1.76.63   74.38.46.23.61.3.1.76.63.73   74.38.46.23.61.3.1.76.63.73.65   74.38.46.23.61.3.1.76.63.73.65.20   74.38.46.23.61.3.1.76.63.73.65.20.8   74.38.46.23.61.3.1.76.63.73.65.20.8.77   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85   99.39.54.16.85.22   99.39.54.16.85.22.40   99.39.54.16.85.22.40.4   99.39.54.16.85.22.40.4.87   99.39.54.16.85.22.40.4.87.65   99.39.54.16.85.22.40.4.87.65.5   99.39.54.16.85.22.40.4.87.65.5.31   99.39.54.16.85.22.40.4.87.65.5.31.49   99.39.54.16.85.22.40.4.87.65.5.31.49.2   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85   33.91.8.65.85.55   33.91.8.65.85.55.56   33.91.8.65.85.55.56.42   33.91.8.65.85.55.56.42.80   33.91.8.65.85.55.56.42.80.58   33.91.8.65.85.55.56.42.80.58.11   33.91.8.65.85.55.56.42.80.58.11.95   33.91.8.65.85.55.56.42.80.58.11.95.90   33.91.8.65.85.55.56.42.80.58.11.95.90.85   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {74   74   74   99   99   99   99   99   99   99   96   96   96   96   96   96   91   91   99   99   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   93   93   93   93   93   93   86   91   91   91   91   91   91   91   85   85   85   91   91   91   91   91   91   91   90   90   89   89   89   89   56   56   75   75   89   98   98   98   98   98   98   98   94   94   94   94   78   78   87   87   87   87   87   87   87   84   84   95   95   95   95   96   98   98   98   98   98   98   98   74   74   74   87   87   87   87   87   87   87   41   95   95   95   95   95   95   95   88   88   88   90   90   96   96   96   96   96   96   96   77   85   85   85   85   85   85   85   74   74   70   70   80   90   90   90   90   90   90   90   72   72   93   93   93   93   93   93   93   81   81   81   62   91   91   91   91   91   91   91   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   58   58   83   83   83   83   83   83   83}
@@ -4017,6 +4217,26 @@ do_execsql_test 1.11.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.11.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {74   74.74   74.74   74.74.99   74.74.99   74.74.99.33   74.99.33   74.99.33.89   99.33.89   99.33.89.96   33.89.96   33.89.96.38   89.96.38   89.96.38.39   96.38.39   96.38.39.91   38.39.91   38.39.91.6   39.91.6   39.91.6.97   91.6.97   91.6.97.46   6.97.46   6.97.46.54   97.46.54   97.46.54.8   46.54.8   46.54.8.29   54.8.29   54.8.29.84   8.29.84   8.29.84.23   29.84.23   29.84.23.16   84.23.16   84.23.16.65   23.16.65   23.16.65.47   16.65.47   16.65.47.86   65.47.86   65.47.86.61   47.86.61   47.86.61.85   86.61.85   86.61.85.85   61.85.85   61.85.85.59   85.85.59   85.85.59.32   85.59.32   85.59.32.3   59.32.3   59.32.3.22   32.3.22   32.3.22.55   3.22.55   3.22.55.28   22.55.28   22.55.28.25   55.28.25   55.28.25.1   28.25.1   28.25.1.40   25.1.40   25.1.40.56   1.40.56   1.40.56.75   40.56.75   40.56.75.89   56.75.89   56.75.89.76   75.89.76   75.89.76.4   89.76.4   89.76.4.42   76.4.42   76.4.42.78   4.42.78   4.42.78.29   42.78.29   42.78.29.63   78.29.63   78.29.63.87   29.63.87   29.63.87.80   63.87.80   63.87.80.72   87.80.72   87.80.72.9   80.72.9   80.72.9.73   72.9.73   72.9.73.65   9.73.65   9.73.65.58   73.65.58   73.65.58.98   65.58.98   65.58.98.21   58.98.21   58.98.21.65   98.21.65   98.21.65.5   21.65.5   21.65.5.11   65.5.11   65.5.11.87   5.11.87   5.11.87.12   11.87.12   11.87.12.20   87.12.20   87.12.20.31   12.20.31   12.20.31.95   20.31.95   20.31.95.73   31.95.73   31.95.73.88   95.73.88   95.73.88.8   73.88.8   73.88.8.49   88.8.49   88.8.49.90   8.49.90   8.49.90.96   49.90.96   49.90.96.55   90.96.55   90.96.55.77   96.55.77   96.55.77.2   55.77.2   55.77.2.85   77.2.85   77.2.85.74   2.85.74   2.85.74.70   85.74.70   85.74.70.19   74.70.19   74.70.19.26   70.19.26   70.19.26.47   19.26.47   19.26.47.90   26.47.90   26.47.90.58   47.90.58   47.90.58.9   90.58.9   90.58.9.72   58.9.72   58.9.72.33   9.72.33   9.72.33.75   72.33.75   72.33.75.81   33.75.81   33.75.81.23   75.81.23   75.81.23.13   81.23.13   81.23.13.14   23.13.14   23.13.14.91   13.14.91   13.14.91.91   14.91.91   14.91.91.15   91.91.15   91.91.15.36   91.15.36   91.15.36.3   15.36.3   15.36.3.69   36.3.69   36.3.69.52   3.69.52   3.69.52.50   69.52.50   69.52.50.10   52.50.10   52.50.10.33   50.10.33   50.10.33.39   10.33.39   10.33.39.58   33.39.58   33.39.58.38   39.58.38   39.58.38.83   58.38.83   58.38.83.82   38.83.82   38.83.82.7   83.82.7   83.82.7}
+
+do_execsql_test 1.11.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.11.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
+} {89.6.29   89.6.29.47   89.6.29.47.59   89.6.29.47.59.28   89.6.29.47.59.28.75   6.29.47.59.28.75.78   29.47.59.28.75.78.72   47.59.28.75.78.72.98   59.28.75.78.72.98.87   28.75.78.72.98.87.73   75.78.72.98.87.73.96   78.72.98.87.73.96.74   72.98.87.73.96.74.90   98.87.73.96.74.90.75   87.73.96.74.90.75.91   73.96.74.90.75.91.69   96.74.90.75.91.69.39   74.90.75.91.69.39.7   90.75.91.69.39.7   75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97   74.96.97.84   74.96.97.84.86   74.96.97.84.86.32   74.96.97.84.86.32.25   96.97.84.86.32.25.89   97.84.86.32.25.89.29   84.86.32.25.89.29.9   86.32.25.89.29.9.21   32.25.89.29.9.21.12   25.89.29.9.21.12.88   89.29.9.21.12.88.55   29.9.21.12.88.55.70   9.21.12.88.55.70.58   21.12.88.55.70.58.81   12.88.55.70.58.81.91   88.55.70.58.81.91.52   55.70.58.81.91.52.58   70.58.81.91.52.58   58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46   74.38.46.23   74.38.46.23.61   74.38.46.23.61.3   74.38.46.23.61.3.1   38.46.23.61.3.1.76   46.23.61.3.1.76.63   23.61.3.1.76.63.73   61.3.1.76.63.73.65   3.1.76.63.73.65.20   1.76.63.73.65.20.8   76.63.73.65.20.8.77   63.73.65.20.8.77.19   73.65.20.8.77.19.9   65.20.8.77.19.9.23   20.8.77.19.9.23.15   8.77.19.9.23.15.50   77.19.9.23.15.50.38   19.9.23.15.50.38   9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54   99.39.54.16   99.39.54.16.85   99.39.54.16.85.22   99.39.54.16.85.22.40   39.54.16.85.22.40.4   54.16.85.22.40.4.87   16.85.22.40.4.87.65   85.22.40.4.87.65.5   22.40.4.87.65.5.31   40.4.87.65.5.31.49   4.87.65.5.31.49.2   87.65.5.31.49.2.26   65.5.31.49.2.26.72   5.31.49.2.26.72.13   31.49.2.26.72.13.36   49.2.26.72.13.36.10   2.26.72.13.36.10.83   26.72.13.36.10.83   72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8   33.91.8.65   33.91.8.65.85   33.91.8.65.85.55   33.91.8.65.85.55.56   91.8.65.85.55.56.42   8.65.85.55.56.42.80   65.85.55.56.42.80.58   85.55.56.42.80.58.11   55.56.42.80.58.11.95   56.42.80.58.11.95.90   42.80.58.11.95.90.85   80.58.11.95.90.85.47   58.11.95.90.85.47.33   11.95.90.85.47.33.14   95.90.85.47.33.14.3   90.85.47.33.14.3.33   85.47.33.14.3.33.82   47.33.14.3.33.82   33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   99   99   89   96   96   96   96   96   68   91   91   91   99   99   99   99   99   97   97   97   97   97   97   93   93   93   93   84   93   93   93   93   93   86   86   86   91   91   91   91   91   85   85   85   59   59   91   91   91   91   91   90   90   89   89   89   89   56   56   56   56   75   75   89   98   98   98   98   98   94   94   94   94   78   78   78   63   87   87   87   87   87   84   84   84   73   95   95   95   95   96   98   98   98   98   98   74   74   74   73   73   87   87   87   87   87   41   31   31   95   95   95   95   95   88   88   88   88   49   90   90   96   96   96   96   96   77   77   77   85   85   85   85   85   74   74   70   70   59   47   80   90   90   90   90   90   72   72   72   72   93   93   93   93   93   81   81   81   37   37   62   91   91   91   91   91   91   91   99   99   99   99   99   95   95   69   84   84   84   84   84   84   84   58   58   58   58   83   83   83   83   83   82   82   17   7}
@@ -4377,6 +4597,26 @@ do_execsql_test 1.12.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.12.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {74.74   74.74.99   74.99   74.99.33   99.33   99.33.89   33.89   33.89.96   89.96   89.96.38   96.38   96.38.39   38.39   38.39.91   39.91   39.91.6   91.6   91.6.97   6.97   6.97.46   97.46   97.46.54   46.54   46.54.8   54.8   54.8.29   8.29   8.29.84   29.84   29.84.23   84.23   84.23.16   23.16   23.16.65   16.65   16.65.47   65.47   65.47.86   47.86   47.86.61   86.61   86.61.85   61.85   61.85.85   85.85   85.85.59   85.59   85.59.32   59.32   59.32.3   32.3   32.3.22   3.22   3.22.55   22.55   22.55.28   55.28   55.28.25   28.25   28.25.1   25.1   25.1.40   1.40   1.40.56   40.56   40.56.75   56.75   56.75.89   75.89   75.89.76   89.76   89.76.4   76.4   76.4.42   4.42   4.42.78   42.78   42.78.29   78.29   78.29.63   29.63   29.63.87   63.87   63.87.80   87.80   87.80.72   80.72   80.72.9   72.9   72.9.73   9.73   9.73.65   73.65   73.65.58   65.58   65.58.98   58.98   58.98.21   98.21   98.21.65   21.65   21.65.5   65.5   65.5.11   5.11   5.11.87   11.87   11.87.12   87.12   87.12.20   12.20   12.20.31   20.31   20.31.95   31.95   31.95.73   95.73   95.73.88   73.88   73.88.8   88.8   88.8.49   8.49   8.49.90   49.90   49.90.96   90.96   90.96.55   96.55   96.55.77   55.77   55.77.2   77.2   77.2.85   2.85   2.85.74   85.74   85.74.70   74.70   74.70.19   70.19   70.19.26   19.26   19.26.47   26.47   26.47.90   47.90   47.90.58   90.58   90.58.9   58.9   58.9.72   9.72   9.72.33   72.33   72.33.75   33.75   33.75.81   75.81   75.81.23   81.23   81.23.13   23.13   23.13.14   13.14   13.14.91   14.91   14.91.91   91.91   91.91.15   91.15   91.15.36   15.36   15.36.3   36.3   36.3.69   3.69   3.69.52   69.52   69.52.50   52.50   52.50.10   50.10   50.10.33   10.33   10.33.39   33.39   33.39.58   39.58   39.58.38   58.38   58.38.83   38.83   38.83.82   83.82   83.82.7   82.7   82.7   7   7}
+
+do_execsql_test 1.12.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.12.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
+} {89.6.29.47.59   6.29.47.59.28   29.47.59.28.75   47.59.28.75.78   59.28.75.78.72   28.75.78.72.98   75.78.72.98.87   78.72.98.87.73   72.98.87.73.96   98.87.73.96.74   87.73.96.74.90   73.96.74.90.75   96.74.90.75.91   74.90.75.91.69   90.75.91.69.39   75.91.69.39.7   91.69.39.7   69.39.7   39.7   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86   96.97.84.86.32   97.84.86.32.25   84.86.32.25.89   86.32.25.89.29   32.25.89.29.9   25.89.29.9.21   89.29.9.21.12   29.9.21.12.88   9.21.12.88.55   21.12.88.55.70   12.88.55.70.58   88.55.70.58.81   55.70.58.81.91   70.58.81.91.52   58.81.91.52.58   81.91.52.58   91.52.58   52.58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61   38.46.23.61.3   46.23.61.3.1   23.61.3.1.76   61.3.1.76.63   3.1.76.63.73   1.76.63.73.65   76.63.73.65.20   63.73.65.20.8   73.65.20.8.77   65.20.8.77.19   20.8.77.19.9   8.77.19.9.23   77.19.9.23.15   19.9.23.15.50   9.23.15.50.38   23.15.50.38   15.50.38   50.38   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85   39.54.16.85.22   54.16.85.22.40   16.85.22.40.4   85.22.40.4.87   22.40.4.87.65   40.4.87.65.5   4.87.65.5.31   87.65.5.31.49   65.5.31.49.2   5.31.49.2.26   31.49.2.26.72   49.2.26.72.13   2.26.72.13.36   26.72.13.36.10   72.13.36.10.83   13.36.10.83   36.10.83   10.83   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85   91.8.65.85.55   8.65.85.55.56   65.85.55.56.42   85.55.56.42.80   55.56.42.80.58   56.42.80.58.11   42.80.58.11.95   80.58.11.95.90   58.11.95.90.85   11.95.90.85.47   95.90.85.47.33   90.85.47.33.14   85.47.33.14.3   47.33.14.3.33   33.14.3.33.82   14.3.33.82   3.33.82   33.82   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {74   99   99   99   33   89   89   96   96   96   68   68   68   91   91   91   99   99   99   97   78   78   97   97   97   67   93   93   93   84   77   23   93   93   93   65   47   86   86   86   91   91   91   85   85   85   59   59   56   56   91   91   91   90   90   55   89   89   89   47   56   56   56   56   56   75   75   89   98   98   98   81   94   94   94   78   78   78   53   63   63   87   87   87   84   84   84   72   61   73   95   95   95   65   96   98   98   98   74   74   74   65   73   73   73   87   87   87   41   20   31   31   31   95   95   95   79   88   88   88   34   49   49   90   90   96   96   96   75   77   77   77   44   85   85   85   74   74   70   70   59   39   39   47   80   90   90   90   58   58   72   72   72   72   93   93   93   81   81   81   37   37   37   14   62   91   91   91   91   91   34   36   99   99   99   95   95   69   58   52   84   84   84   84   84   39   44   58   58   58   38   83   83   83   82   82   17   7   {}   {}}
@@ -4737,6 +4977,26 @@ do_execsql_test 1.13.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.13.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {74   74.99   99   99.33   33   33.89   89   89.96   96   96.38   38   38.39   39   39.91   91   91.6   6   6.97   97   97.46   46   46.54   54   54.8   8   8.29   29   29.84   84   84.23   23   23.16   16   16.65   65   65.47   47   47.86   86   86.61   61   61.85   85   85.85   85   85.59   59   59.32   32   32.3   3   3.22   22   22.55   55   55.28   28   28.25   25   25.1   1   1.40   40   40.56   56   56.75   75   75.89   89   89.76   76   76.4   4   4.42   42   42.78   78   78.29   29   29.63   63   63.87   87   87.80   80   80.72   72   72.9   9   9.73   73   73.65   65   65.58   58   58.98   98   98.21   21   21.65   65   65.5   5   5.11   11   11.87   87   87.12   12   12.20   20   20.31   31   31.95   95   95.73   73   73.88   88   88.8   8   8.49   49   49.90   90   90.96   96   96.55   55   55.77   77   77.2   2   2.85   85   85.74   74   74.70   70   70.19   19   19.26   26   26.47   47   47.90   90   90.58   58   58.9   9   9.72   72   72.33   33   33.75   75   75.81   81   81.23   23   23.13   13   13.14   14   14.91   91   91.91   91   91.15   15   15.36   36   36.3   3   3.69   69   69.52   52   52.50   50   50.10   10   10.33   33   33.39   39   39.58   58   58.38   38   38.83   83   83.82   82   82.7   7   7   {}   {}}
+
+do_execsql_test 1.13.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.13.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
+} {29.47.59   47.59.28   59.28.75   28.75.78   75.78.72   78.72.98   72.98.87   98.87.73   87.73.96   73.96.74   96.74.90   74.90.75   90.75.91   75.91.69   91.69.39   69.39.7   39.7   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   97.84.86   84.86.32   86.32.25   32.25.89   25.89.29   89.29.9   29.9.21   9.21.12   21.12.88   12.88.55   88.55.70   55.70.58   70.58.81   58.81.91   81.91.52   91.52.58   52.58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   46.23.61   23.61.3   61.3.1   3.1.76   1.76.63   76.63.73   63.73.65   73.65.20   65.20.8   20.8.77   8.77.19   77.19.9   19.9.23   9.23.15   23.15.50   15.50.38   50.38   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   54.16.85   16.85.22   85.22.40   22.40.4   40.4.87   4.87.65   87.65.5   65.5.31   5.31.49   31.49.2   49.2.26   2.26.72   26.72.13   72.13.36   13.36.10   36.10.83   10.83   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8.65.85   65.85.55   85.55.56   55.56.42   56.42.80   42.80.58   80.58.11   58.11.95   11.95.90   95.90.85   90.85.47   85.47.33   47.33.14   33.14.3   14.3.33   3.33.82   33.82   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99}
@@ -5097,6 +5357,26 @@ do_execsql_test 1.14.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.14.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
+
+do_execsql_test 1.14.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.14.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.14.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
+} {89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83}
@@ -5457,6 +5737,26 @@ do_execsql_test 1.15.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.15.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   33.39.58.38.83.82.7   33.39.58.38.83.82.7   39.58.38.83.82.7   39.58.38.83.82.7   58.38.83.82.7   58.38.83.82.7   38.83.82.7   38.83.82.7   83.82.7   83.82.7}
+
+do_execsql_test 1.15.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.15.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
+} {89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   75.78.72.98.87.73.96.74.90.75.91.69.39.7   78.72.98.87.73.96.74.90.75.91.69.39.7   72.98.87.73.96.74.90.75.91.69.39.7   98.87.73.96.74.90.75.91.69.39.7   87.73.96.74.90.75.91.69.39.7   73.96.74.90.75.91.69.39.7   96.74.90.75.91.69.39.7   74.90.75.91.69.39.7   90.75.91.69.39.7   75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   25.89.29.9.21.12.88.55.70.58.81.91.52.58   89.29.9.21.12.88.55.70.58.81.91.52.58   29.9.21.12.88.55.70.58.81.91.52.58   9.21.12.88.55.70.58.81.91.52.58   21.12.88.55.70.58.81.91.52.58   12.88.55.70.58.81.91.52.58   88.55.70.58.81.91.52.58   55.70.58.81.91.52.58   70.58.81.91.52.58   58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   1.76.63.73.65.20.8.77.19.9.23.15.50.38   76.63.73.65.20.8.77.19.9.23.15.50.38   63.73.65.20.8.77.19.9.23.15.50.38   73.65.20.8.77.19.9.23.15.50.38   65.20.8.77.19.9.23.15.50.38   20.8.77.19.9.23.15.50.38   8.77.19.9.23.15.50.38   77.19.9.23.15.50.38   19.9.23.15.50.38   9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   40.4.87.65.5.31.49.2.26.72.13.36.10.83   4.87.65.5.31.49.2.26.72.13.36.10.83   87.65.5.31.49.2.26.72.13.36.10.83   65.5.31.49.2.26.72.13.36.10.83   5.31.49.2.26.72.13.36.10.83   31.49.2.26.72.13.36.10.83   49.2.26.72.13.36.10.83   2.26.72.13.36.10.83   26.72.13.36.10.83   72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   56.42.80.58.11.95.90.85.47.33.14.3.33.82   42.80.58.11.95.90.85.47.33.14.3.33.82   80.58.11.95.90.85.47.33.14.3.33.82   58.11.95.90.85.47.33.14.3.33.82   11.95.90.85.47.33.14.3.33.82   95.90.85.47.33.14.3.33.82   90.85.47.33.14.3.33.82   85.47.33.14.3.33.82   47.33.14.3.33.82   33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7}
@@ -5817,6 +6117,26 @@ do_execsql_test 1.16.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
+do_execsql_test 1.16.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   33.39.58.38.83.82.7   33.39.58.38.83.82.7   39.58.38.83.82.7   39.58.38.83.82.7   58.38.83.82.7   58.38.83.82.7   38.83.82.7   38.83.82.7   83.82.7   83.82.7   82.7   82.7   7   7}
+
+do_execsql_test 1.16.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.16.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
+} {89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   75.78.72.98.87.73.96.74.90.75.91.69.39.7   78.72.98.87.73.96.74.90.75.91.69.39.7   72.98.87.73.96.74.90.75.91.69.39.7   98.87.73.96.74.90.75.91.69.39.7   87.73.96.74.90.75.91.69.39.7   73.96.74.90.75.91.69.39.7   96.74.90.75.91.69.39.7   74.90.75.91.69.39.7   90.75.91.69.39.7   75.91.69.39.7   91.69.39.7   69.39.7   39.7   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   25.89.29.9.21.12.88.55.70.58.81.91.52.58   89.29.9.21.12.88.55.70.58.81.91.52.58   29.9.21.12.88.55.70.58.81.91.52.58   9.21.12.88.55.70.58.81.91.52.58   21.12.88.55.70.58.81.91.52.58   12.88.55.70.58.81.91.52.58   88.55.70.58.81.91.52.58   55.70.58.81.91.52.58   70.58.81.91.52.58   58.81.91.52.58   81.91.52.58   91.52.58   52.58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   1.76.63.73.65.20.8.77.19.9.23.15.50.38   76.63.73.65.20.8.77.19.9.23.15.50.38   63.73.65.20.8.77.19.9.23.15.50.38   73.65.20.8.77.19.9.23.15.50.38   65.20.8.77.19.9.23.15.50.38   20.8.77.19.9.23.15.50.38   8.77.19.9.23.15.50.38   77.19.9.23.15.50.38   19.9.23.15.50.38   9.23.15.50.38   23.15.50.38   15.50.38   50.38   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   40.4.87.65.5.31.49.2.26.72.13.36.10.83   4.87.65.5.31.49.2.26.72.13.36.10.83   87.65.5.31.49.2.26.72.13.36.10.83   65.5.31.49.2.26.72.13.36.10.83   5.31.49.2.26.72.13.36.10.83   31.49.2.26.72.13.36.10.83   49.2.26.72.13.36.10.83   2.26.72.13.36.10.83   26.72.13.36.10.83   72.13.36.10.83   13.36.10.83   36.10.83   10.83   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   56.42.80.58.11.95.90.85.47.33.14.3.33.82   42.80.58.11.95.90.85.47.33.14.3.33.82   80.58.11.95.90.85.47.33.14.3.33.82   58.11.95.90.85.47.33.14.3.33.82   11.95.90.85.47.33.14.3.33.82   95.90.85.47.33.14.3.33.82   90.85.47.33.14.3.33.82   85.47.33.14.3.33.82   47.33.14.3.33.82   33.14.3.33.82   14.3.33.82   3.33.82   33.82   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   99   95   95   84   84   84   84   84   84   84   84   83   83   83   83   83   83   83   83   83   82   82   17   7   {}   {}   {}   {}}
@@ -6177,4 +6497,24 @@ do_execsql_test 1.17.14.6 {
   SELECT group_concat(CAST(b AS TEXT), '.') OVER (PARTITION BY b%2,a ORDER BY b%10 ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
+do_execsql_test 1.17.15.1 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   33.39.58.38.83.82.7   33.39.58.38.83.82.7   39.58.38.83.82.7   39.58.38.83.82.7   58.38.83.82.7   58.38.83.82.7   38.83.82.7   38.83.82.7   83.82.7   83.82.7   82.7   82.7   7   7   {}   {}   {}   {}}
+
+do_execsql_test 1.17.15.2 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.15.3 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
+do_execsql_test 1.17.15.4 {
+  SELECT group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
+} {59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   75.78.72.98.87.73.96.74.90.75.91.69.39.7   78.72.98.87.73.96.74.90.75.91.69.39.7   72.98.87.73.96.74.90.75.91.69.39.7   98.87.73.96.74.90.75.91.69.39.7   87.73.96.74.90.75.91.69.39.7   73.96.74.90.75.91.69.39.7   96.74.90.75.91.69.39.7   74.90.75.91.69.39.7   90.75.91.69.39.7   75.91.69.39.7   91.69.39.7   69.39.7   39.7   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   25.89.29.9.21.12.88.55.70.58.81.91.52.58   89.29.9.21.12.88.55.70.58.81.91.52.58   29.9.21.12.88.55.70.58.81.91.52.58   9.21.12.88.55.70.58.81.91.52.58   21.12.88.55.70.58.81.91.52.58   12.88.55.70.58.81.91.52.58   88.55.70.58.81.91.52.58   55.70.58.81.91.52.58   70.58.81.91.52.58   58.81.91.52.58   81.91.52.58   91.52.58   52.58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   1.76.63.73.65.20.8.77.19.9.23.15.50.38   76.63.73.65.20.8.77.19.9.23.15.50.38   63.73.65.20.8.77.19.9.23.15.50.38   73.65.20.8.77.19.9.23.15.50.38   65.20.8.77.19.9.23.15.50.38   20.8.77.19.9.23.15.50.38   8.77.19.9.23.15.50.38   77.19.9.23.15.50.38   19.9.23.15.50.38   9.23.15.50.38   23.15.50.38   15.50.38   50.38   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   40.4.87.65.5.31.49.2.26.72.13.36.10.83   4.87.65.5.31.49.2.26.72.13.36.10.83   87.65.5.31.49.2.26.72.13.36.10.83   65.5.31.49.2.26.72.13.36.10.83   5.31.49.2.26.72.13.36.10.83   31.49.2.26.72.13.36.10.83   49.2.26.72.13.36.10.83   2.26.72.13.36.10.83   26.72.13.36.10.83   72.13.36.10.83   13.36.10.83   36.10.83   10.83   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   56.42.80.58.11.95.90.85.47.33.14.3.33.82   42.80.58.11.95.90.85.47.33.14.3.33.82   80.58.11.95.90.85.47.33.14.3.33.82   58.11.95.90.85.47.33.14.3.33.82   11.95.90.85.47.33.14.3.33.82   95.90.85.47.33.14.3.33.82   90.85.47.33.14.3.33.82   85.47.33.14.3.33.82   47.33.14.3.33.82   33.14.3.33.82   14.3.33.82   3.33.82   33.82   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+
 finish_test
diff --git a/test/window4.tcl b/test/window4.tcl
index 9b5299310a..30b56ca4e8 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -97,5 +97,11 @@ execsql_test 3.3 {
   ORDER BY a;
 }
 
+execsql_test 3.4 {
+  SELECT a, max(a) FILTER (WHERE (a%2)=0) OVER w FROM t5 
+  WINDOW w AS (ORDER BY a)
+}
+
+
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index fd49752e71..70963800f5 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -176,4 +176,14 @@ do_execsql_test 3.3 {
   ORDER BY a;
 } {1 1 5   2 2 4   3 3 3   4 4 2   5 5 1}
 
+explain_i {
+  SELECT a, max(a) FILTER (WHERE (a%2)=0) OVER w FROM t5 
+  WINDOW w AS (ORDER BY a)
+  }
+  breakpoint
+do_execsql_test 3.4 {
+  SELECT a, max(a) FILTER (WHERE (a%2)=0) OVER w FROM t5 
+  WINDOW w AS (ORDER BY a)
+} {1 {}   2 2   3 2   4 4   5 4}
+
 finish_test

From d31e7addd632f80585aeccc48ae9f365f0edadb0 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 9 Jun 2018 17:58:51 +0000
Subject: [PATCH 050/154] Update the amalgamation build script to include
 window.c.

FossilOrigin-Name: 21d2f4a62eceab0de0b4669bf3e81eb71512211ed710ce0eb525695fb7309d6b
---
 Makefile.in               |  9 +++++++--
 main.mk                   |  3 ++-
 manifest                  | 18 +++++++++---------
 manifest.uuid             |  2 +-
 tool/mksqlite3c-noext.tcl |  1 +
 tool/mksqlite3c.tcl       |  1 +
 6 files changed, 21 insertions(+), 13 deletions(-)

diff --git a/Makefile.in b/Makefile.in
index ac84fe832c..1757a049ac 100644
--- a/Makefile.in
+++ b/Makefile.in
@@ -190,7 +190,7 @@ LIBOBJS0 = alter.lo analyze.lo attach.lo auth.lo \
          update.lo upsert.lo util.lo vacuum.lo \
          vdbe.lo vdbeapi.lo vdbeaux.lo vdbeblob.lo vdbemem.lo vdbesort.lo \
          vdbetrace.lo wal.lo walker.lo where.lo wherecode.lo whereexpr.lo \
-         utf.lo vtab.lo
+         window.lo utf.lo vtab.lo
 
 # Object files for the amalgamation.
 #
@@ -304,7 +304,8 @@ SRC = \
   $(TOP)/src/where.c \
   $(TOP)/src/wherecode.c \
   $(TOP)/src/whereexpr.c \
-  $(TOP)/src/whereInt.h
+  $(TOP)/src/whereInt.h \
+  $(TOP)/src/window.c
 
 # Source code for extensions
 #
@@ -493,6 +494,7 @@ TESTSRC2 = \
   $(TOP)/src/where.c \
   $(TOP)/src/wherecode.c \
   $(TOP)/src/whereexpr.c \
+  $(TOP)/src/window.c \
   parse.c \
   $(TOP)/ext/fts3/fts3.c \
   $(TOP)/ext/fts3/fts3_aux.c \
@@ -967,6 +969,9 @@ wherecode.lo:	$(TOP)/src/wherecode.c $(HDR)
 whereexpr.lo:	$(TOP)/src/whereexpr.c $(HDR)
 	$(LTCOMPILE) $(TEMP_STORE) -c $(TOP)/src/whereexpr.c
 
+window.lo:	$(TOP)/src/window.c $(HDR)
+	$(LTCOMPILE) $(TEMP_STORE) -c $(TOP)/src/window.c
+
 tclsqlite.lo:	$(TOP)/src/tclsqlite.c $(HDR)
 	$(LTCOMPILE) -DUSE_TCL_STUBS=1 -c $(TOP)/src/tclsqlite.c
 
diff --git a/main.mk b/main.mk
index 2a1f04ed9b..b62551210e 100644
--- a/main.mk
+++ b/main.mk
@@ -182,7 +182,8 @@ SRC = \
   $(TOP)/src/where.c \
   $(TOP)/src/wherecode.c \
   $(TOP)/src/whereexpr.c \
-  $(TOP)/src/whereInt.h
+  $(TOP)/src/whereInt.h \
+  $(TOP)/src/window.h
 
 # Source code for extensions
 #
diff --git a/manifest b/manifest
index 7adc9e5345..cfc858f823 100644
--- a/manifest
+++ b/manifest
@@ -1,8 +1,8 @@
-C Add\ssupport\sfor\sFILTER\sclause\son\saggregate\swindow\sfunctions.
-D 2018-06-09T17:43:45.368
+C Update\sthe\samalgamation\sbuild\sscript\sto\sinclude\swindow.c.
+D 2018-06-09T17:58:51.834
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
-F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
+F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
 F Makefile.linux-gcc 7bc79876b875010e8c8f9502eb935ca92aa3c434
 F Makefile.msc 681fb88cccf1fd58c0b9648f6a09b75332206ef72ca76012ad11699c320cec5f
 F README.md 7764d56778d567913ef11c82da9ab94aefa0826f7c243351e4e2d7adaef6f373
@@ -417,7 +417,7 @@ F ext/userauth/userauth.c 3410be31283abba70255d71fd24734e017a4497f
 F install-sh 9d4de14ab9fb0facae2f48780b874848cbf2f895 x
 F ltmain.sh 3ff0879076df340d2e23ae905484d8c15d5fdea8
 F magic.txt 8273bf49ba3b0c8559cb2774495390c31fd61c60
-F main.mk e829e6dca3fcf542747d0c210516d5e6893f773099b2e5deb924eb7dc70f7384
+F main.mk 45a1ef2a3360b7808c0c2c73658f6aabf2092af1f23c994d2294a3a34fbd533d
 F mkso.sh fd21c06b063bb16a5d25deea1752c2da6ac3ed83
 F mptest/config01.test 3c6adcbc50b991866855f1977ff172eb6d901271
 F mptest/config02.test 4415dfe36c48785f751e16e32c20b077c28ae504
@@ -1677,8 +1677,8 @@ F tool/mkpragmatab.tcl 2144bc8550a6471a029db262a132d2df4b9e0db61b90398bf64f5b7b3
 F tool/mkshellc.tcl 1f45770aea226ac093a9c72f718efbb88a2a2833409ec2e1c4cecae4202626f5
 F tool/mksourceid.c d458f9004c837bee87a6382228ac20d3eae3c49ea3b0a5aace936f8b60748d3b
 F tool/mkspeedsql.tcl a1a334d288f7adfe6e996f2e712becf076745c97
-F tool/mksqlite3c-noext.tcl fef88397668ae83166735c41af99d79f56afaabb
-F tool/mksqlite3c.tcl d532ccbe81234f766bab6e5c0451c99529debcea138caccc1862a9645b2d54f2
+F tool/mksqlite3c-noext.tcl 4f7cfef5152b0c91920355cbfc1d608a4ad242cb819f1aea07f6d0274f584a7f
+F tool/mksqlite3c.tcl 7fe318ab6e0f8b6f59a1268b9e61b403a7885418b59c43fce9974228eab5a8da
 F tool/mksqlite3h.tcl 080873e3856eceb9d289a08a00c4b30f875ea3feadcbece796bd509b1532792c
 F tool/mksqlite3internalh.tcl eb994013e833359137eb53a55acdad0b5ae1049b
 F tool/mkvsix.tcl b9e0777a213c23156b6542842c238479e496ebf5
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 19c983b511f1c823fdfb051713681b4c779f02fa83b41189afca0a9b8b72048d
-R 4922e87ad399c6f94f1076fca5cd38fd
+P ceaf798ea09184bc0e7d3dcf3ad4d909d2e4e7018754a8417a813f33010140a7
+R 25d876301d00e59b71583c6b55d6c00d
 U dan
-Z db6d4e8c44c5703bb20011e4b4391c5c
+Z 68e027e36121929eecffb8d7c085a490
diff --git a/manifest.uuid b/manifest.uuid
index 4cf7a0f94a..03ca7e782f 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-ceaf798ea09184bc0e7d3dcf3ad4d909d2e4e7018754a8417a813f33010140a7
\ No newline at end of file
+21d2f4a62eceab0de0b4669bf3e81eb71512211ed710ce0eb525695fb7309d6b
\ No newline at end of file
diff --git a/tool/mksqlite3c-noext.tcl b/tool/mksqlite3c-noext.tcl
index a16b0591eb..8452072564 100644
--- a/tool/mksqlite3c-noext.tcl
+++ b/tool/mksqlite3c-noext.tcl
@@ -351,6 +351,7 @@ foreach file {
    wherecode.c
    whereexpr.c
    where.c
+   window.c
 
    parse.c
 
diff --git a/tool/mksqlite3c.tcl b/tool/mksqlite3c.tcl
index 6c1dab6acc..7d455e3ab1 100644
--- a/tool/mksqlite3c.tcl
+++ b/tool/mksqlite3c.tcl
@@ -369,6 +369,7 @@ foreach file {
    wherecode.c
    whereexpr.c
    where.c
+   window.c
 
    parse.c
 

From 074544d181daa4c47f6699a5df78dd3f6d20d64d Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sat, 9 Jun 2018 20:52:45 +0000
Subject: [PATCH 051/154] Fix a typo in the amalgamation autoconf file.

FossilOrigin-Name: de0857f39620b7f5c921ddf8d11b11723b4ba3cfe52e43cf77e883697b7c1c4c
---
 autoconf/configure.ac |  2 +-
 manifest              | 12 ++++++------
 manifest.uuid         |  2 +-
 3 files changed, 8 insertions(+), 8 deletions(-)

diff --git a/autoconf/configure.ac b/autoconf/configure.ac
index 8ba221891a..76579c0a55 100644
--- a/autoconf/configure.ac
+++ b/autoconf/configure.ac
@@ -153,7 +153,7 @@ AC_SUBST(SESSION_FLAGS)
 #
 AC_ARG_ENABLE(debug, [AS_HELP_STRING(
   [--enable-debug], [build with debugging features enabled [default=no]])], 
-  [], [enable_session=no])
+  [], [enable_debug=no])
 if test x"$enable_debug" = "xyes"; then
   DEBUG_FLAGS="-DSQLITE_DEBUG -DSQLITE_ENABLE_SELECTTRACE -DSQLITE_ENABLE_WHERETRACE"
 fi
diff --git a/manifest b/manifest
index 3e06caf3c1..5757350e81 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Slightly\ssmaller\sand\sfaster\scode\sby\sencapsulating\swal-index\shash\stable\nlocation\sinformation\sin\sa\sseparate\sWalHashLoc\sobject\srather\sthan\spassing\naround\sthe\svarious\selements\sas\sseparate\svariables.
-D 2018-06-09T16:49:00.305
+C Fix\sa\stypo\sin\sthe\samalgamation\sautoconf\sfile.
+D 2018-06-09T20:52:45.165
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -17,7 +17,7 @@ F autoconf/Makefile.fallback 22fe523eb36dfce31e0f6349f782eb084e86a5620b2b0b4f84a
 F autoconf/Makefile.msc 6a46d0659d6e4a25346102bcba40a7fb4b0b8b2dc4faabdf0187488c6dd580d6
 F autoconf/README.first 6c4f34fe115ff55d4e8dbfa3cecf04a0188292f7
 F autoconf/README.txt 4f04b0819303aabaa35fff5f7b257fb0c1ef95f1
-F autoconf/configure.ac 5f6cf281ae675685335ce7f43f8c2d59d3ac8ba4174a57b8e83097c5e10dcf4e
+F autoconf/configure.ac ac680e441d5dd8a55b66fc73cfd7a3c5adb39729ea2af4811f023c3c516057e4
 F autoconf/tea/Makefile.in b438a7020446c8a8156e8d97c8914a04833da6fd
 F autoconf/tea/README 3e9a3c060f29a44344ab50aec506f4db903fb873
 F autoconf/tea/aclocal.m4 52c47aac44ce0ddb1f918b6993e8beb8eee88f43
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 31e480f68dfd887cfd9114f9f9fec53d751d3ecc27e36f55c0166b51b2fbb08c
-R 6ae6039dbf6c75d53dff2e4ab7fb3afb
+P 538a365b7a32ab7fa84f59d7556242cfb59b76d287b6417eb3a823197a354e8e
+R 77cf712c0701790fbea387864fe5a9e7
 U drh
-Z 6ec430bc7e585373e73f8d45e5d8a30b
+Z 8a05b9e91fe6e55c1781e9d15c271cb0
diff --git a/manifest.uuid b/manifest.uuid
index 15b5d5a674..78e429d619 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-538a365b7a32ab7fa84f59d7556242cfb59b76d287b6417eb3a823197a354e8e
\ No newline at end of file
+de0857f39620b7f5c921ddf8d11b11723b4ba3cfe52e43cf77e883697b7c1c4c
\ No newline at end of file

From 980cf25b10ed68cb6899655e2fc09f7b66a17954 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sun, 10 Jun 2018 07:42:35 +0000
Subject: [PATCH 052/154] Update Makefile.msc to include window.c in the build.

FossilOrigin-Name: 16db73842ade5eb0fe02f257b91d1c7b41d830d3f17f8638b8fbaed309d9a852
---
 Makefile.msc  |  8 ++++++--
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 src/analyze.c |  6 +++---
 4 files changed, 17 insertions(+), 13 deletions(-)

diff --git a/Makefile.msc b/Makefile.msc
index 8513996b6a..d31c117f56 100644
--- a/Makefile.msc
+++ b/Makefile.msc
@@ -1196,7 +1196,7 @@ LIBOBJS0 = vdbe.lo parse.lo alter.lo analyze.lo attach.lo auth.lo \
          update.lo upsert.lo util.lo vacuum.lo \
          vdbeapi.lo vdbeaux.lo vdbeblob.lo vdbemem.lo vdbesort.lo \
          vdbetrace.lo wal.lo walker.lo where.lo wherecode.lo whereexpr.lo \
-         utf.lo vtab.lo
+         window.lo utf.lo vtab.lo
 # <</mark>>
 
 # Object files for the amalgamation.
@@ -1307,7 +1307,8 @@ SRC01 = \
   $(TOP)\src\walker.c \
   $(TOP)\src\where.c \
   $(TOP)\src\wherecode.c \
-  $(TOP)\src\whereexpr.c
+  $(TOP)\src\whereexpr.c \
+  $(TOP)\src\window.c
 
 # Core miscellaneous files.
 #
@@ -2046,6 +2047,9 @@ wherecode.lo:	$(TOP)\src\wherecode.c $(HDR)
 whereexpr.lo:	$(TOP)\src\whereexpr.c $(HDR)
 	$(LTCOMPILE) $(CORE_COMPILE_OPTS) -c $(TOP)\src\whereexpr.c
 
+window.lo:	$(TOP)\src\window.c $(HDR)
+	$(LTCOMPILE) $(CORE_COMPILE_OPTS) -c $(TOP)\src\window.c
+
 tclsqlite.lo:	$(TOP)\src\tclsqlite.c $(HDR) $(SQLITE_TCL_DEP)
 	$(LTCOMPILE) $(NO_WARN) -DUSE_TCL_STUBS=1 -DBUILD_sqlite -I$(TCLINCDIR) -c $(TOP)\src\tclsqlite.c
 
diff --git a/manifest b/manifest
index a86004ffdd..b8c297e20a 100644
--- a/manifest
+++ b/manifest
@@ -1,10 +1,10 @@
-C Merge\srecent\strunk\schanges\swith\sthis\sbranch.
-D 2018-06-09T18:09:44.345
+C Update\sMakefile.msc\sto\sinclude\swindow.c\sin\sthe\sbuild.
+D 2018-06-10T07:42:35.717
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
 F Makefile.linux-gcc 7bc79876b875010e8c8f9502eb935ca92aa3c434
-F Makefile.msc 681fb88cccf1fd58c0b9648f6a09b75332206ef72ca76012ad11699c320cec5f
+F Makefile.msc 0221c154ad20065906973f8fd4047346b995d31eaafd461383edca766f4282b6
 F README.md 7764d56778d567913ef11c82da9ab94aefa0826f7c243351e4e2d7adaef6f373
 F VERSION d3e3afdec1165a5e593dcdfffd8e0f33a2b0186067eb51a073ef6c4aec34923d
 F aclocal.m4 a5c22d164aff7ed549d53a90fa56d56955281f50
@@ -430,7 +430,7 @@ F sqlite.pc.in 42b7bf0d02e08b9e77734a47798d1a55a9e0716b
 F sqlite3.1 fc7ad8990fc8409983309bb80de8c811a7506786
 F sqlite3.pc.in 48fed132e7cb71ab676105d2a4dc77127d8c1f3a
 F src/alter.c 819b14b58e71565f8da505a9c1d5d9d904605f85cd64179cf9c7d1edcdad6c25
-F src/analyze.c 1250e69bd137314845afec5c489fc49c9de7baef68970b5530a7bc28f7611db1
+F src/analyze.c 41f0b8d638fc2a7309477904ac38e535f2aabea3256da3251e529730e099df77
 F src/attach.c 3af6abc40733d10014b401c89a4e8ecfa7c3855517c62004461875220a3af453
 F src/auth.c a38f3c63c974787ecf75e3213f8cac6568b9a7af7591fb0372ec0517dd16dca8
 F src/backup.c 78d3cecfbe28230a3a9a1793e2ead609f469be43e8f486ca996006be551857ab
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 21d2f4a62eceab0de0b4669bf3e81eb71512211ed710ce0eb525695fb7309d6b 538a365b7a32ab7fa84f59d7556242cfb59b76d287b6417eb3a823197a354e8e
-R 6acfedbb724c9a0a79fb2548396e647b
+P c71f23590c25b4cecd27722e6c0fc8e3bf320d399c7d9398b7016dd5cf5b05eb
+R 2e58ed5cf6d082d384917693b0e78747
 U dan
-Z fb63cabb1c512a4c919ea08381d46601
+Z 07d472def1abd4a4538bf4eac7a242cb
diff --git a/manifest.uuid b/manifest.uuid
index d4d8d10f24..aa655d22bb 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-c71f23590c25b4cecd27722e6c0fc8e3bf320d399c7d9398b7016dd5cf5b05eb
\ No newline at end of file
+16db73842ade5eb0fe02f257b91d1c7b41d830d3f17f8638b8fbaed309d9a852
\ No newline at end of file
diff --git a/src/analyze.c b/src/analyze.c
index 9492e2c2f8..c3fa50b1c3 100644
--- a/src/analyze.c
+++ b/src/analyze.c
@@ -485,7 +485,7 @@ static const FuncDef statInitFuncdef = {
   0,               /* pNext */
   statInit,        /* xSFunc */
   0,               /* xFinalize */
-  0, 0,
+  0, 0,            /* xValue, xInverse */
   "stat_init",     /* zName */
   {0}
 };
@@ -802,7 +802,7 @@ static const FuncDef statPushFuncdef = {
   0,               /* pNext */
   statPush,        /* xSFunc */
   0,               /* xFinalize */
-  0, 0,
+  0, 0,            /* xValue, xInverse */
   "stat_push",     /* zName */
   {0}
 };
@@ -954,7 +954,7 @@ static const FuncDef statGetFuncdef = {
   0,               /* pNext */
   statGet,         /* xSFunc */
   0,               /* xFinalize */
-  0, 0,
+  0, 0,            /* xValue, xInverse */
   "stat_get",      /* zName */
   {0}
 };

From 9c3549aa2ff44195e692601ab9e71f03e9481b82 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 11 Jun 2018 01:30:03 +0000
Subject: [PATCH 053/154] Always initialize the WhereClause.hasOr field that
 was added by check-in [292724ffc4].  Error detected by OSSFuzz.

FossilOrigin-Name: 9faf41713e865f26485d9e90918d77c25be211384941eadda6a36237f52c25de
---
 manifest        | 12 ++++++------
 manifest.uuid   |  2 +-
 src/whereexpr.c |  1 +
 3 files changed, 8 insertions(+), 7 deletions(-)

diff --git a/manifest b/manifest
index 5757350e81..cba3248157 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\stypo\sin\sthe\samalgamation\sautoconf\sfile.
-D 2018-06-09T20:52:45.165
+C Always\sinitialize\sthe\sWhereClause.hasOr\sfield\sthat\swas\sadded\sby\scheck-in\n[292724ffc4].\s\sError\sdetected\sby\sOSSFuzz.
+D 2018-06-11T01:30:03.585
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -582,7 +582,7 @@ F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
 F src/where.c fe1a6f97c12cc9472ccce86166ba3f827cf61d6ae770c036a6396b63863baac4
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
-F src/whereexpr.c 6f022d6cc9daf56495f191b199352f783aff5cf268ba136b4d8cea3fb62d8c7d
+F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 538a365b7a32ab7fa84f59d7556242cfb59b76d287b6417eb3a823197a354e8e
-R 77cf712c0701790fbea387864fe5a9e7
+P de0857f39620b7f5c921ddf8d11b11723b4ba3cfe52e43cf77e883697b7c1c4c
+R d9b050cc4bb9b1726f913fdb83de4b6b
 U drh
-Z 8a05b9e91fe6e55c1781e9d15c271cb0
+Z 56f73bab2b8437d13f6f85f70d26e7dd
diff --git a/manifest.uuid b/manifest.uuid
index 78e429d619..2e3a89e74f 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-de0857f39620b7f5c921ddf8d11b11723b4ba3cfe52e43cf77e883697b7c1c4c
\ No newline at end of file
+9faf41713e865f26485d9e90918d77c25be211384941eadda6a36237f52c25de
\ No newline at end of file
diff --git a/src/whereexpr.c b/src/whereexpr.c
index 3f349134ba..c027481025 100644
--- a/src/whereexpr.c
+++ b/src/whereexpr.c
@@ -1409,6 +1409,7 @@ void sqlite3WhereClauseInit(
   WhereInfo *pWInfo        /* The WHERE processing context */
 ){
   pWC->pWInfo = pWInfo;
+  pWC->hasOr = 0;
   pWC->pOuter = 0;
   pWC->nTerm = 0;
   pWC->nSlot = ArraySize(pWC->aStatic);

From 72a9f0233bc61c61383425cfaea57305c9287e00 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 11 Jun 2018 11:19:35 +0000
Subject: [PATCH 054/154] Fix a typon in main.mk.

FossilOrigin-Name: e74f86f271d6ab1ecd17c1ee63ab2aa0885ca56624be7382872f04d46c48ed86
---
 main.mk       |  2 +-
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 3 files changed, 8 insertions(+), 8 deletions(-)

diff --git a/main.mk b/main.mk
index b62551210e..0e46ed39c0 100644
--- a/main.mk
+++ b/main.mk
@@ -183,7 +183,7 @@ SRC = \
   $(TOP)/src/wherecode.c \
   $(TOP)/src/whereexpr.c \
   $(TOP)/src/whereInt.h \
-  $(TOP)/src/window.h
+  $(TOP)/src/window.c
 
 # Source code for extensions
 #
diff --git a/manifest b/manifest
index b8c297e20a..a43cce585f 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Update\sMakefile.msc\sto\sinclude\swindow.c\sin\sthe\sbuild.
-D 2018-06-10T07:42:35.717
+C Fix\sa\stypon\sin\smain.mk.
+D 2018-06-11T11:19:35.512
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -417,7 +417,7 @@ F ext/userauth/userauth.c 3410be31283abba70255d71fd24734e017a4497f
 F install-sh 9d4de14ab9fb0facae2f48780b874848cbf2f895 x
 F ltmain.sh 3ff0879076df340d2e23ae905484d8c15d5fdea8
 F magic.txt 8273bf49ba3b0c8559cb2774495390c31fd61c60
-F main.mk 45a1ef2a3360b7808c0c2c73658f6aabf2092af1f23c994d2294a3a34fbd533d
+F main.mk 9cad63ffa8c6b782d35debe0ef933312a0ddc75fed35492c7fe29dbe9701647a
 F mkso.sh fd21c06b063bb16a5d25deea1752c2da6ac3ed83
 F mptest/config01.test 3c6adcbc50b991866855f1977ff172eb6d901271
 F mptest/config02.test 4415dfe36c48785f751e16e32c20b077c28ae504
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P c71f23590c25b4cecd27722e6c0fc8e3bf320d399c7d9398b7016dd5cf5b05eb
-R 2e58ed5cf6d082d384917693b0e78747
+P 16db73842ade5eb0fe02f257b91d1c7b41d830d3f17f8638b8fbaed309d9a852
+R 96748b81a5c5c17387af91f1f0c0dfa1
 U dan
-Z 07d472def1abd4a4538bf4eac7a242cb
+Z 83b8eb197a3e3709547b1acd87361cc8
diff --git a/manifest.uuid b/manifest.uuid
index aa655d22bb..d49243596d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-16db73842ade5eb0fe02f257b91d1c7b41d830d3f17f8638b8fbaed309d9a852
\ No newline at end of file
+e74f86f271d6ab1ecd17c1ee63ab2aa0885ca56624be7382872f04d46c48ed86
\ No newline at end of file

From 8d7b212c4c6ef492c55ce9ea9de2ed4e8d738ef4 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 11 Jun 2018 13:10:45 +0000
Subject: [PATCH 055/154] Strengthen the sqlite3VdbeMemAboutToChange() run-time
 verification mechanism to better detect missed calls to AboutToChange().

FossilOrigin-Name: 793e942205a12eedb7ecc5ad8a27e3e52bbd4e1d50a0d1453d04a83ba728884e
---
 manifest      | 16 ++++++++--------
 manifest.uuid |  2 +-
 src/vdbe.h    |  1 +
 src/vdbeaux.c |  2 +-
 src/vdbemem.c | 16 +++++++++++++++-
 5 files changed, 26 insertions(+), 11 deletions(-)

diff --git a/manifest b/manifest
index cba3248157..6170904da3 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Always\sinitialize\sthe\sWhereClause.hasOr\sfield\sthat\swas\sadded\sby\scheck-in\n[292724ffc4].\s\sError\sdetected\sby\sOSSFuzz.
-D 2018-06-11T01:30:03.585
+C Strengthen\sthe\ssqlite3VdbeMemAboutToChange()\srun-time\sverification\smechanism\nto\sbetter\sdetect\smissed\scalls\sto\sAboutToChange().
+D 2018-06-11T13:10:45.872
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -566,12 +566,12 @@ F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
 F src/vdbe.c d7a475cec51c83daf0d348301a1aec77f535832ea946632b5738ff9f087c0edb
-F src/vdbe.h e3f43bcc27ff30b0f25a6104d0cb5657e1c4b5e1b5cd2dd2216d5bcc2156a746
+F src/vdbe.h c58fa2d8fff2a235a685687340ee555269f5421e4ec2ee758a5550961d3b25a4
 F src/vdbeInt.h d299d7a19853463dac418de0d97f2dd9cb4ddb495a45c93364e2daee109ba0ef
 F src/vdbeapi.c 765a0bbe01311626417de6cb743f7f25f9f98435c98a9df4bb0714d11014633d
-F src/vdbeaux.c daecbbefaf0adfc428cddbfa5164c1d744496ba5dd19f840845ecac652913802
+F src/vdbeaux.c ea0b7821dd74068cb8b232d1ba3dc457ecaca302d2cf67e1f24ff3bcc7d94c52
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
-F src/vdbemem.c 803323406d8623a7619ea5d5f74016697eeaed19c02b98ce9c3013e77dbe1c38
+F src/vdbemem.c 8f5cd24151c87294c2fb31c9e9353b074786c10cb9e7ef74d93c2e1ec85d1ee1
 F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2f
 F src/vdbetrace.c 79d6dbbc479267b255a7de8080eee6e729928a0ef93ed9b0bfa5618875b48392
 F src/vtab.c 10ea07dec111de6fb0a4fc87a7ffa4c65fdc088a19dbfaf7d6f2b128f2e8eb7b
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P de0857f39620b7f5c921ddf8d11b11723b4ba3cfe52e43cf77e883697b7c1c4c
-R d9b050cc4bb9b1726f913fdb83de4b6b
+P 9faf41713e865f26485d9e90918d77c25be211384941eadda6a36237f52c25de
+R 846e9acb3549bc01ad42c2408534b9d1
 U drh
-Z 56f73bab2b8437d13f6f85f70d26e7dd
+Z 5f45d155d5f89ae268c81c641f0e97a0
diff --git a/manifest.uuid b/manifest.uuid
index 2e3a89e74f..5504e2c63e 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-9faf41713e865f26485d9e90918d77c25be211384941eadda6a36237f52c25de
\ No newline at end of file
+793e942205a12eedb7ecc5ad8a27e3e52bbd4e1d50a0d1453d04a83ba728884e
\ No newline at end of file
diff --git a/src/vdbe.h b/src/vdbe.h
index 51bbdf96cc..b7f960f766 100644
--- a/src/vdbe.h
+++ b/src/vdbe.h
@@ -261,6 +261,7 @@ void sqlite3VdbeSetVarmask(Vdbe*, int);
   char *sqlite3VdbeExpandSql(Vdbe*, const char*);
 #endif
 int sqlite3MemCompare(const Mem*, const Mem*, const CollSeq*);
+int sqlite3BlobCompare(const Mem*, const Mem*);
 
 void sqlite3VdbeRecordUnpack(KeyInfo*,int,const void*,UnpackedRecord*);
 int sqlite3VdbeRecordCompare(int,const void*,UnpackedRecord*);
diff --git a/src/vdbeaux.c b/src/vdbeaux.c
index 7f0448ec1f..c0984317b9 100644
--- a/src/vdbeaux.c
+++ b/src/vdbeaux.c
@@ -3912,7 +3912,7 @@ static int isAllZero(const char *z, int n){
 ** is less than, equal to, or greater than the second, respectively.
 ** If one blob is a prefix of the other, then the shorter is the lessor.
 */
-static SQLITE_NOINLINE int sqlite3BlobCompare(const Mem *pB1, const Mem *pB2){
+SQLITE_NOINLINE int sqlite3BlobCompare(const Mem *pB1, const Mem *pB2){
   int c;
   int n1 = pB1->n;
   int n2 = pB2->n;
diff --git a/src/vdbemem.c b/src/vdbemem.c
index 933eee0b53..4759823417 100644
--- a/src/vdbemem.c
+++ b/src/vdbemem.c
@@ -886,7 +886,21 @@ void sqlite3VdbeMemAboutToChange(Vdbe *pVdbe, Mem *pMem){
   Mem *pX;
   for(i=0, pX=pVdbe->aMem; i<pVdbe->nMem; i++, pX++){
     if( pX->pScopyFrom==pMem ){
-      pX->flags |= MEM_Undefined;
+      /* If pX is marked as a shallow copy of pMem, then verify that
+      ** no significant changes have been made to pX since the OP_SCopy.
+      ** A significant change would indicated a missed call to this
+      ** function for pX.  Minor changes, such as adding or removing a
+      ** dual type, are allowed, as long as the underlying value is the
+      ** same. */
+      u16 mFlags = pMem->flags & pX->flags;
+      assert( (mFlags&MEM_Int)==0 || pMem->u.i==pX->u.i );
+      assert( (mFlags&MEM_Real)==0 || pMem->u.r==pX->u.r );
+      assert( (mFlags&MEM_Str)==0  || (pMem->n==pX->n && pMem->z==pX->z) );
+      assert( (mFlags&MEM_Blob)==0  || sqlite3BlobCompare(pMem,pX)==0 );
+      
+      /* pMem is the register that is changing.  But also mark pX as
+      ** undefined so that we can quickly detect the shallow-copy error */
+      pX->flags = MEM_Undefined;
       pX->pScopyFrom = 0;
     }
   }

From 299bf7c2f0193e2d39dd96ad4ccbe673ae9e21be Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 11 Jun 2018 17:35:02 +0000
Subject: [PATCH 056/154] Add the OP_SetTabCol and OP_VerifyTabCol opcodes,
 only when compiling with SQLITE_DEBUG, to do run-time verification of the
 column cache.

FossilOrigin-Name: b37614a3670770919a7c7f8157c5fd6578d736447998640b52e5cef8174cadc2
---
 manifest        | 26 +++++++++++++-------------
 manifest.uuid   |  2 +-
 src/expr.c      | 10 ++++++++++
 src/sqliteInt.h | 11 +++++++++++
 src/vdbe.c      | 40 ++++++++++++++++++++++++++++++++++++++++
 src/vdbe.h      |  4 ++++
 src/vdbeInt.h   |  6 +++---
 src/vdbeaux.c   |  2 +-
 src/vdbemem.c   |  9 +++++++++
 src/where.c     | 31 +++++++++++++++++++++++++++++++
 10 files changed, 123 insertions(+), 18 deletions(-)

diff --git a/manifest b/manifest
index 6170904da3..3228fbdad9 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Strengthen\sthe\ssqlite3VdbeMemAboutToChange()\srun-time\sverification\smechanism\nto\sbetter\sdetect\smissed\scalls\sto\sAboutToChange().
-D 2018-06-11T13:10:45.872
+C Add\sthe\sOP_SetTabCol\sand\sOP_VerifyTabCol\sopcodes,\sonly\swhen\scompiling\swith\nSQLITE_DEBUG,\sto\sdo\srun-time\sverification\sof\sthe\scolumn\scache.
+D 2018-06-11T17:35:02.447
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -447,7 +447,7 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 4aa7f26198934dbd002e69418220eae3dbc71b010bbac32bd78faf86b52ce6c3
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
-F src/expr.c 16f90ae2af2a100bc430a89184afde54878d82f18267e8d00bc4f33e695a7c57
+F src/expr.c 3ab855fb882d8758220edaf261d8d56ad2cb3736f92c818f4ae250ac4a2752a4
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
 F src/func.c e2e3c02621a528a472933fd4733a5da635676f1461be73293f6e9f62f18d4eaa
@@ -500,7 +500,7 @@ F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf
 F src/sqlite.h.in 63b07f76731f2b1e55c48fdb9f0508dcc6fbe3971010b8612ffd847c3c56d9a1
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 9332b820382288dde7d6ea712bbcd34380bbbeb44f6f7032710bd5240fd4067d
+F src/sqliteInt.h c8d304712b6b4e2150cbb5355b1a80427eee7b3ea1a6b5827afadf557360d7fe
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -565,13 +565,13 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c d7a475cec51c83daf0d348301a1aec77f535832ea946632b5738ff9f087c0edb
-F src/vdbe.h c58fa2d8fff2a235a685687340ee555269f5421e4ec2ee758a5550961d3b25a4
-F src/vdbeInt.h d299d7a19853463dac418de0d97f2dd9cb4ddb495a45c93364e2daee109ba0ef
+F src/vdbe.c e0ac1d7cff72b4e8b250c5e698f0fc43f0c8b5a8f35654716d8ab1fa89db669e
+F src/vdbe.h 9c8c245fa3785266c269ab02c135c836ff49a307612186686bcdae500f409945
+F src/vdbeInt.h 8ebc37ead2cfde92a63d74e3940fe0a94d456078c77e6cefbc2ecf15630f9fda
 F src/vdbeapi.c 765a0bbe01311626417de6cb743f7f25f9f98435c98a9df4bb0714d11014633d
-F src/vdbeaux.c ea0b7821dd74068cb8b232d1ba3dc457ecaca302d2cf67e1f24ff3bcc7d94c52
+F src/vdbeaux.c 0e7af8614c87dd25bc2395d22c847deba96ff87d19758d5cd7f459a466f14cbb
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
-F src/vdbemem.c 8f5cd24151c87294c2fb31c9e9353b074786c10cb9e7ef74d93c2e1ec85d1ee1
+F src/vdbemem.c 613cbbcca8d21c66df311fc17f9460180abcf7a909e12493618fd570f9858036
 F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2f
 F src/vdbetrace.c 79d6dbbc479267b255a7de8080eee6e729928a0ef93ed9b0bfa5618875b48392
 F src/vtab.c 10ea07dec111de6fb0a4fc87a7ffa4c65fdc088a19dbfaf7d6f2b128f2e8eb7b
@@ -579,7 +579,7 @@ F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c d44a0811afd2155b1157c38b33141d4ac028fda6232485bed664015bb05819ca
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
 F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
-F src/where.c fe1a6f97c12cc9472ccce86166ba3f827cf61d6ae770c036a6396b63863baac4
+F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 9faf41713e865f26485d9e90918d77c25be211384941eadda6a36237f52c25de
-R 846e9acb3549bc01ad42c2408534b9d1
+P 793e942205a12eedb7ecc5ad8a27e3e52bbd4e1d50a0d1453d04a83ba728884e
+R e32799ffc139aea23a34579bcd80eade
 U drh
-Z 5f45d155d5f89ae268c81c641f0e97a0
+Z 5651f63d60929e8aa5ef5f44ca04cc41
diff --git a/manifest.uuid b/manifest.uuid
index 5504e2c63e..b1328ceffb 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-793e942205a12eedb7ecc5ad8a27e3e52bbd4e1d50a0d1453d04a83ba728884e
\ No newline at end of file
+b37614a3670770919a7c7f8157c5fd6578d736447998640b52e5cef8174cadc2
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index 91eb44b8eb..1ddcca819f 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -3200,6 +3200,13 @@ void sqlite3ExprCacheStore(Parse *pParse, int iTab, int iCol, int iReg){
   }
 #endif
 
+#ifdef SQLITE_DEBUG_COLUMNCACHE
+  /* Add a SetTabCol opcode for run-time verification that the column
+  ** cache is working correctly.
+  */
+  sqlite3VdbeAddOp3(pParse->pVdbe, OP_SetTabCol, iTab, iCol, iReg);
+#endif
+
   /* If the cache is already full, delete the least recently used entry */
   if( pParse->nColCache>=SQLITE_N_COLCACHE ){
     minLru = 0x7fffffff;
@@ -3373,6 +3380,9 @@ int sqlite3ExprCodeGetColumn(
     if( p->iTable==iTable && p->iColumn==iColumn ){
       p->lru = pParse->iCacheCnt++;
       sqlite3ExprCachePinRegister(pParse, p->iReg);
+#ifdef SQLITE_DEBUG_COLUMNCACHE
+      sqlite3VdbeAddOp3(v, OP_VerifyTabCol, iTable, iColumn, p->iReg);
+#endif
       return p->iReg;
     }
   }  
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 98bd7e4079..6180467005 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -367,6 +367,17 @@
 # undef NDEBUG
 #endif
 
+/* SQLITE_DEBUG_COLUMNCACHE is synomous with SQLITE_DEBUG.  The 
+** SQLITE_DEBUG_COLUMNCACHE symbol only exists to provide a convenient
+** way to search for all code that deals with verifying correct behavior
+** of the column cache.
+*/
+#ifdef SQLITE_DEBUG
+# define SQLITE_DEBUG_COLUMNCACHE 1
+#else
+# undef SQLIT_DEBUG_COLUMNCACHE
+#endif
+
 /*
 ** Enable SQLITE_ENABLE_EXPLAIN_COMMENTS if SQLITE_DEBUG is turned on.
 */
diff --git a/src/vdbe.c b/src/vdbe.c
index 243e4fe70a..f65068672c 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -36,6 +36,18 @@
 # define memAboutToChange(P,M)
 #endif
 
+/*
+** Given a cursor number and a column for a table or index, compute a
+** hash value for use in the Mem.iTabColHash value.  The iTabColHash
+** column is only used for verification - it is omitted from production
+** builds.  Collisions are harmless in the sense that the correct answer
+** still results.  The only harm of collisions is that they can potential
+** reduce column-cache error detection during SQLITE_DEBUG builds.
+**
+** No valid hash should be 0.
+*/
+#define TableColumnHash(T,C)  (((u32)(T)<<16)^(u32)(C+2))
+
 /*
 ** The following global variable is incremented every time a cursor
 ** moves, either by the OP_SeekXX, OP_Next, or OP_Prev opcodes.  The test
@@ -7318,6 +7330,34 @@ case OP_Abortable: {
 }
 #endif
 
+#ifdef SQLITE_DEBUG_COLUMNCACHE
+/* Opcode:  SetTabCol   P1 P2 P3 * *
+**
+** Set a flag in register REG[P3] indicating that it holds the value
+** of column P2 from the table on cursor P1.  This flag is checked
+** by a subsequent VerifyTabCol opcode.
+**
+** This opcode only appears SQLITE_DEBUG builds.  It is used to verify
+** that the expression table column cache is working correctly.
+*/
+case OP_SetTabCol: {
+  aMem[pOp->p3].iTabColHash = TableColumnHash(pOp->p1,pOp->p2);
+  break;
+}
+/* Opcode:  VerifyTabCol   P1 P2 P3 * *
+**
+** Verify that register REG[P3] contains the value of column P2 from
+** cursor P1.  Assert() if this is not the case.
+**
+** This opcode only appears SQLITE_DEBUG builds.  It is used to verify
+** that the expression table column cache is working correctly.
+*/
+case OP_VerifyTabCol: {
+  assert( aMem[pOp->p3].iTabColHash == TableColumnHash(pOp->p1,pOp->p2) );
+  break;
+}
+#endif
+
 /* Opcode: Noop * * * * *
 **
 ** Do nothing.  This instruction is often useful as a jump
diff --git a/src/vdbe.h b/src/vdbe.h
index b7f960f766..51995e384c 100644
--- a/src/vdbe.h
+++ b/src/vdbe.h
@@ -343,4 +343,8 @@ void sqlite3VdbeScanStatus(Vdbe*, int, int, int, LogEst, const char*);
 # define sqlite3VdbeScanStatus(a,b,c,d,e)
 #endif
 
+#if defined(SQLITE_DEBUG) || defined(VDBE_PROFILE)
+void sqlite3VdbePrintOp(FILE*, int, VdbeOp*);
+#endif
+
 #endif /* SQLITE_VDBE_H */
diff --git a/src/vdbeInt.h b/src/vdbeInt.h
index dd8e29108a..c883ce8b50 100644
--- a/src/vdbeInt.h
+++ b/src/vdbeInt.h
@@ -211,6 +211,9 @@ struct sqlite3_value {
   Mem *pScopyFrom;    /* This Mem is a shallow copy of pScopyFrom */
   void *pFiller;      /* So that sizeof(Mem) is a multiple of 8 */
 #endif
+#ifdef SQLITE_DEBUG_COLUMNCACHE
+  u32 iTabColHash;    /* Hash of table.column that is origin of this value */
+#endif
 };
 
 /*
@@ -449,9 +452,6 @@ void sqlite3VdbeFreeCursor(Vdbe *, VdbeCursor*);
 void sqliteVdbePopStack(Vdbe*,int);
 int sqlite3VdbeCursorMoveto(VdbeCursor**, int*);
 int sqlite3VdbeCursorRestore(VdbeCursor*);
-#if defined(SQLITE_DEBUG) || defined(VDBE_PROFILE)
-void sqlite3VdbePrintOp(FILE*, int, Op*);
-#endif
 u32 sqlite3VdbeSerialTypeLen(u32);
 u8 sqlite3VdbeOneByteSerialTypeLen(u8);
 u32 sqlite3VdbeSerialType(Mem*, int, u32*);
diff --git a/src/vdbeaux.c b/src/vdbeaux.c
index c0984317b9..856cad7649 100644
--- a/src/vdbeaux.c
+++ b/src/vdbeaux.c
@@ -1613,7 +1613,7 @@ void sqlite3VdbeLeave(Vdbe *p){
 /*
 ** Print a single opcode.  This routine is used for debugging only.
 */
-void sqlite3VdbePrintOp(FILE *pOut, int pc, Op *pOp){
+void sqlite3VdbePrintOp(FILE *pOut, int pc, VdbeOp *pOp){
   char *zP4;
   char zPtr[50];
   char zCom[100];
diff --git a/src/vdbemem.c b/src/vdbemem.c
index 4759823417..5ce4bca79d 100644
--- a/src/vdbemem.c
+++ b/src/vdbemem.c
@@ -905,6 +905,9 @@ void sqlite3VdbeMemAboutToChange(Vdbe *pVdbe, Mem *pMem){
     }
   }
   pMem->pScopyFrom = 0;
+#ifdef SQLITE_DEBUG_COLUMN_CACHE
+  pMem->iTabColHash = 0;
+#endif
 }
 #endif /* SQLITE_DEBUG */
 
@@ -925,6 +928,9 @@ void sqlite3VdbeMemShallowCopy(Mem *pTo, const Mem *pFrom, int srcType){
   assert( pTo->db==pFrom->db );
   if( VdbeMemDynamic(pTo) ){ vdbeClrCopy(pTo,pFrom,srcType); return; }
   memcpy(pTo, pFrom, MEMCELLSIZE);
+#ifdef SQLITE_DEBUG_COLUMNCACHE
+  pTo->iTabColHash = pFrom->iTabColHash;
+#endif
   if( (pFrom->flags&MEM_Static)==0 ){
     pTo->flags &= ~(MEM_Dyn|MEM_Static|MEM_Ephem);
     assert( srcType==MEM_Ephem || srcType==MEM_Static );
@@ -942,6 +948,9 @@ int sqlite3VdbeMemCopy(Mem *pTo, const Mem *pFrom){
   assert( (pFrom->flags & MEM_RowSet)==0 );
   if( VdbeMemDynamic(pTo) ) vdbeMemClearExternAndSetNull(pTo);
   memcpy(pTo, pFrom, MEMCELLSIZE);
+#ifdef SQLITE_DEBUG_COLUMNCACHE
+  pTo->iTabColHash = pFrom->iTabColHash;
+#endif
   pTo->flags &= ~MEM_Dyn;
   if( pTo->flags&(MEM_Str|MEM_Blob) ){
     if( 0==(pFrom->flags&MEM_Static) ){
diff --git a/src/where.c b/src/where.c
index 0e47dbf7ee..7d53715923 100644
--- a/src/where.c
+++ b/src/where.c
@@ -5033,6 +5033,26 @@ whereBeginError:
   return 0;
 }
 
+/*
+** Part of sqlite3WhereEnd() will rewrite opcodes to reference the
+** index rather than the main table.  In SQLITE_DEBUG mode, we want
+** to trace those changes if PRAGMA vdbe_addoptrace=on.  This routine
+** does that.
+*/
+#ifndef SQLITE_DEBUG
+# define OpcodeRewriteTrace(D,K,P) /* no-op */
+#else
+# define OpcodeRewriteTrace(D,K,P) sqlite3WhereOpcodeRewriteTrace(D,K,P)
+  static void sqlite3WhereOpcodeRewriteTrace(
+    sqlite3 *db,
+    int pc,
+    VdbeOp *pOp
+  ){
+    if( (db->flags & SQLITE_VdbeAddopTrace)==0 ) return;
+    sqlite3VdbePrintOp(0, pc, pOp);
+  }
+#endif
+
 /*
 ** Generate the end of the WHERE loop.  See comments on 
 ** sqlite3WhereBegin() for additional information.
@@ -5201,6 +5221,11 @@ void sqlite3WhereEnd(WhereInfo *pWInfo){
     ){
       last = sqlite3VdbeCurrentAddr(v);
       k = pLevel->addrBody;
+#ifdef SQLITE_DEBUG
+      if( db->flags & SQLITE_VdbeAddopTrace ){
+        printf("TRANSLATE opcodes in range %d..%d\n", k, last-1);
+      }
+#endif
       pOp = sqlite3VdbeGetOp(v, k);
       for(; k<last; k++, pOp++){
         if( pOp->p1!=pLevel->iTabCur ) continue;
@@ -5220,16 +5245,22 @@ void sqlite3WhereEnd(WhereInfo *pWInfo){
           if( x>=0 ){
             pOp->p2 = x;
             pOp->p1 = pLevel->iIdxCur;
+            OpcodeRewriteTrace(db, k, pOp);
           }
           assert( (pLoop->wsFlags & WHERE_IDX_ONLY)==0 || x>=0 
               || pWInfo->eOnePass );
         }else if( pOp->opcode==OP_Rowid ){
           pOp->p1 = pLevel->iIdxCur;
           pOp->opcode = OP_IdxRowid;
+          OpcodeRewriteTrace(db, k, pOp);
         }else if( pOp->opcode==OP_IfNullRow ){
           pOp->p1 = pLevel->iIdxCur;
+          OpcodeRewriteTrace(db, k, pOp);
         }
       }
+#ifdef SQLITE_DEBUG
+      if( db->flags & SQLITE_VdbeAddopTrace ) printf("TRANSLATE complete\n");
+#endif
     }
   }
 

From ea64715976cfe3a047e5ae9d0b990faf7076e99c Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 11 Jun 2018 18:06:48 +0000
Subject: [PATCH 057/154] Fix the column cache invalidation logic in the code
 for ROWID uniqueness constraint checking in the INSERT command.  This fixes
 ticket [c2432ef9089ee73bd].

FossilOrigin-Name: 0b485a571c805a5bc431a231a196ff6034342c6548d92b09c52814dd57c89c75
---
 manifest         | 14 +++++++-------
 manifest.uuid    |  2 +-
 src/insert.c     |  2 ++
 test/insert.test | 13 +++++++++++++
 4 files changed, 23 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 3228fbdad9..6e78cae8c2 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\sthe\sOP_SetTabCol\sand\sOP_VerifyTabCol\sopcodes,\sonly\swhen\scompiling\swith\nSQLITE_DEBUG,\sto\sdo\srun-time\sverification\sof\sthe\scolumn\scache.
-D 2018-06-11T17:35:02.447
+C Fix\sthe\scolumn\scache\sinvalidation\slogic\sin\sthe\scode\sfor\sROWID\suniqueness\nconstraint\schecking\sin\sthe\sINSERT\scommand.\s\sThis\sfixes\sticket\n[c2432ef9089ee73bd].
+D 2018-06-11T18:06:48.831
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -456,7 +456,7 @@ F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
 F src/hwtime.h 747c1bbe9df21a92e9c50f3bbec1de841dc5e5da
 F src/in-operator.md 10cd8f4bcd225a32518407c2fb2484089112fd71
-F src/insert.c 76b1dc902e4c3930d9a17a40cd8ee2e94b1fd8cce766672caef164a6d5d4df1d
+F src/insert.c bcacf6a0d277f8fa0e4f9ffecda544a2330ca4478f904cd89564c2dd86d0b16b
 F src/legacy.c 134ab3e3fae00a0f67a5187981d6935b24b337bcf0f4b3e5c9fa5763da95bf4e
 F src/loadext.c 6aae5739198d96c51ae6eb97c4a5b1744c22ed7a5a565a5399a717780d48a36b
 F src/main.c a086ab7d6e4e3f07bd5789d16f977d425f9482e7b3baeeb2f17bde0e6bfb2bc1
@@ -993,7 +993,7 @@ F test/indexexpr1.test 635261197bcdc19b9b2c59bbfa7227d525c00e9587faddb2d293c44d2
 F test/indexexpr2.test 08551aa8956a91582979e17b6d369f321a5cb6ed6d3e952925a3e54e9e7de216
 F test/indexfault.test 31d4ab9a7d2f6e9616933eb079722362a883eb1d
 F test/init.test 15c823093fdabbf7b531fe22cf037134d09587a7
-F test/insert.test 38742b5e9601c8f8d76e9b7555f7270288c2d371
+F test/insert.test 5604b1ff5675cc84c34a5b315792b958f48c32edccc0dafcc81d3b776270b70a
 F test/insert2.test 4d14b8f1b810a41995f6286b64a6943215d52208
 F test/insert3.test 1b7db95a03ad9c5013fdf7d6722b6cd66ee55e30
 F test/insert4.test 46bead5f39e181850ee56adcf49d3a3157c460c52249211714612ac89fe34835
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 793e942205a12eedb7ecc5ad8a27e3e52bbd4e1d50a0d1453d04a83ba728884e
-R e32799ffc139aea23a34579bcd80eade
+P b37614a3670770919a7c7f8157c5fd6578d736447998640b52e5cef8174cadc2
+R 43b6e2e7bff8d43b71b0521d42db382b
 U drh
-Z 5651f63d60929e8aa5ef5f44ca04cc41
+Z ba39774432820fe8ba51d6921586d213
diff --git a/manifest.uuid b/manifest.uuid
index b1328ceffb..1d589ef851 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-b37614a3670770919a7c7f8157c5fd6578d736447998640b52e5cef8174cadc2
\ No newline at end of file
+0b485a571c805a5bc431a231a196ff6034342c6548d92b09c52814dd57c89c75
\ No newline at end of file
diff --git a/src/insert.c b/src/insert.c
index 3d51642834..78b07a025c 100644
--- a/src/insert.c
+++ b/src/insert.c
@@ -1533,6 +1533,7 @@ void sqlite3GenerateConstraintChecks(
     sqlite3VdbeVerifyAbortable(v, onError);
     sqlite3VdbeAddOp3(v, OP_NotExists, iDataCur, addrRowidOk, regNewData);
     VdbeCoverage(v);
+    sqlite3ExprCachePush(pParse);
 
     switch( onError ){
       default: {
@@ -1609,6 +1610,7 @@ void sqlite3GenerateConstraintChecks(
         break;
       }
     }
+    sqlite3ExprCachePop(pParse);
     sqlite3VdbeResolveLabel(v, addrRowidOk);
     if( sAddr.ipkTop ){
       sAddr.ipkBtm = sqlite3VdbeAddOp0(v, OP_Goto);
diff --git a/test/insert.test b/test/insert.test
index cb675b90d1..1337105e25 100644
--- a/test/insert.test
+++ b/test/insert.test
@@ -435,6 +435,19 @@ do_execsql_test insert-12.3 {
   SELECT * FROM t12c;
 } {one xyzzy two}
 
+# 2018-06-11.  From OSSFuzz.  A column cache malfunction in
+# the constraint checking on an index of expressions causes
+# an assertion fault in a REPLACE.  Ticket
+# https://www.sqlite.org/src/info/c2432ef9089ee73b
+#
+do_execsql_test insert-13.1 {
+  DROP TABLE IF EXISTS t13;
+  CREATE TABLE t13(a INTEGER PRIMARY KEY,b UNIQUE);
+  CREATE INDEX t13x1 ON t13(-b=b);
+  INSERT INTO t13 VALUES(1,5),(6,2);
+  REPLACE INTO t13 SELECT b,0 FROM t13;
+  SELECT * FROM t13 ORDER BY +b;
+} {2 0 6 2 1 5}
 
 integrity_check insert-99.0
 

From 26522d1c45763e482f6f51e25aa6c454527d3558 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 11 Jun 2018 18:16:51 +0000
Subject: [PATCH 058/154] Fix handling of window frames containing negative
 number of rows. e.g. "ROWS x PRECEDING AND y PRECEDING" where (x<y).

FossilOrigin-Name: b6d9c7eda853420ae46a05bd432711e8bf9ebaa448c7d90ccfc0bcc338a87706
---
 manifest          | 20 ++++++++++----------
 manifest.uuid     |  2 +-
 src/resolve.c     | 21 +++++++++++++++++----
 src/window.c      | 27 +++++++++++++++++++++++++++
 test/window1.test | 36 +++++++++++++++++++++++++++++++++++-
 test/window4.tcl  | 26 ++++++++++++++++++++++++++
 test/window4.test | 35 ++++++++++++++++++++++++++++++-----
 7 files changed, 146 insertions(+), 21 deletions(-)

diff --git a/manifest b/manifest
index a43cce585f..18f389d932 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\stypon\sin\smain.mk.
-D 2018-06-11T11:19:35.512
+C Fix\shandling\sof\swindow\sframes\scontaining\snegative\snumber\sof\srows.\se.g.\s"ROWS\sx\nPRECEDING\sAND\sy\sPRECEDING"\swhere\s(x<y).
+D 2018-06-11T18:16:51.622
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -493,7 +493,7 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c e966ecc97c3671ff0e96227c8c877b83f2d33ea371ee190bbf1698b36b5605c0
 F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c da9b85ec0e1a05384134cece5747a90b8da1fc5750f4705c7812d2294ca20cec
+F src/resolve.c 03791a761ede3a2cd71dffb92aa760d728122dbbdbf26010813da3edd01cb431
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 0b0ce29bd7b8a7232e6f7602ddb447caa954a1fc476ff5e23ce1e5aaa6a0e0ed
 F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf9
@@ -583,7 +583,7 @@ F src/where.c fe1a6f97c12cc9472ccce86166ba3f827cf61d6ae770c036a6396b63863baac4
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 6f022d6cc9daf56495f191b199352f783aff5cf268ba136b4d8cea3fb62d8c7d
-F src/window.c 72c08229b59a447db5ffb8e87680105549465df502092e0e24f9451e6b082031
+F src/window.c 0519e5a03ebbcf22ab692410d4b25f28cc2d0e4e37e6288ca1eb0820276d67ba
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1617,13 +1617,13 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 6c648f3fa79b29ef114c4e73ae8adefae70e4d3aae4cc36a3318ab237b64e9c5
+F test/window1.test 94c626fe8d9eced3e3d5ef0a2106209904daba77d549aafde09eba1db8e98c3e
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
-F test/window4.tcl e459eb2fe561d7731008a80d071e2d995c3554706de764c9f456f54357e70316
-F test/window4.test 207ab5e54ba0fec5e1157d136489b615a0e88dc8f9fb81cd77e11f20d2ddd72e
+F test/window4.tcl bfea0c4f65dff22568032ae3a0cf3be0910c4160314e5ac3f895eca11b068cb1
+F test/window4.test ca7c63f27604a0eb432cab1673da75498c69d66b9093ef80a5d4c7287b95906b
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 16db73842ade5eb0fe02f257b91d1c7b41d830d3f17f8638b8fbaed309d9a852
-R 96748b81a5c5c17387af91f1f0c0dfa1
+P e74f86f271d6ab1ecd17c1ee63ab2aa0885ca56624be7382872f04d46c48ed86
+R a123bfa3a94ae6460114239fab9e1170
 U dan
-Z 83b8eb197a3e3709547b1acd87361cc8
+Z 6b49a0a9a9265834682b1c9c02ee1753
diff --git a/manifest.uuid b/manifest.uuid
index d49243596d..0cd6c62cdb 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-e74f86f271d6ab1ecd17c1ee63ab2aa0885ca56624be7382872f04d46c48ed86
\ No newline at end of file
+b6d9c7eda853420ae46a05bd432711e8bf9ebaa448c7d90ccfc0bcc338a87706
\ No newline at end of file
diff --git a/src/resolve.c b/src/resolve.c
index cf0ca280ea..0d94668190 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -756,11 +756,24 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
                    NC_IdxExpr|NC_PartIdx);
         }
       }
-      if( (is_agg && (pNC->ncFlags & NC_AllowAgg)==0) 
-       || (pExpr->pWin && (pNC->ncFlags & NC_AllowWin)==0)
+
+      if( is_agg==0 && pExpr->pWin ){
+        sqlite3ErrorMsg(pParse, 
+            "%.*s() may not be used as a window function", nId, zId
+        );
+        pNC->nErr++;
+      }else if( 
+            (is_agg && (pNC->ncFlags & NC_AllowAgg)==0)
+         || (is_agg && (pDef->funcFlags & SQLITE_FUNC_WINDOW) && !pExpr->pWin)
+         || (is_agg && pExpr->pWin && (pNC->ncFlags & NC_AllowWin)==0)
       ){
-        const char *zType = pExpr->pWin ? "window" : "aggregate";
-        sqlite3ErrorMsg(pParse, "misuse of %s function %.*s()",zType,nId,zId);
+        const char *zType;
+        if( (pDef->funcFlags & SQLITE_FUNC_WINDOW) || pExpr->pWin ){
+          zType = "window";
+        }else{
+          zType = "aggregate";
+        }
+        sqlite3ErrorMsg(pParse, "misuse of %s function %.*s()", zType, nId,zId);
         pNC->nErr++;
         is_agg = 0;
       }else if( no_such_func && pParse->db->init.busy==0
diff --git a/src/window.c b/src/window.c
index fc4c7d905e..9c63362105 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1,4 +1,5 @@
 /*
+** 2018 May 08
 **
 ** The author disclaims copyright to this source code.  In place of
 ** a legal notice, here is a blessing:
@@ -1258,13 +1259,26 @@ static void windowCodeRowExprStep(
 
   /* If this is "ROWS <expr1> FOLLOWING AND ROWS <expr2> FOLLOWING", do:
   **
+  **   if( regEnd<regStart ){
+  **     // The frame always consists of 0 rows
+  **     regStart = regSize;
+  **   }
   **   regEnd = regEnd - regStart;
   */
   if( pMWin->pEnd && pMWin->pStart && pMWin->eStart==TK_FOLLOWING ){
     assert( pMWin->eEnd==TK_FOLLOWING );
+    sqlite3VdbeAddOp3(v, OP_Ge, regStart, sqlite3VdbeCurrentAddr(v)+2, regEnd);
+    sqlite3VdbeAddOp2(v, OP_Copy, regSize, regStart);
     sqlite3VdbeAddOp3(v, OP_Subtract, regStart, regEnd, regEnd);
   }
 
+  if( pMWin->pEnd && pMWin->pStart && pMWin->eEnd==TK_PRECEDING ){
+    assert( pMWin->eStart==TK_PRECEDING );
+    sqlite3VdbeAddOp3(v, OP_Le, regStart, sqlite3VdbeCurrentAddr(v)+3, regEnd);
+    sqlite3VdbeAddOp2(v, OP_Copy, regSize, regStart);
+    sqlite3VdbeAddOp2(v, OP_Copy, regSize, regEnd);
+  }
+
   /* Initialize the accumulator register for each window function to NULL */
   regArg = windowInitAccum(pParse, pMWin);
 
@@ -1731,6 +1745,14 @@ void sqlite3WindowCodeStep(
   Window *pMWin = p->pWin;
   Window *pWin;
 
+  /*
+  ** Call windowCodeRowExprStep() for all window modes *except*:
+  **
+  **   RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  **   RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  **   RANGE BETWEEN CURRENT ROW AND CURRENT ROW
+  **   ROWS  BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  */
   if( (pMWin->eType==TK_ROWS 
    && (pMWin->eStart!=TK_UNBOUNDED||pMWin->eEnd!=TK_CURRENT||!pMWin->pOrderBy))
    || (pMWin->eStart==TK_CURRENT&&pMWin->eEnd==TK_UNBOUNDED&&pMWin->pOrderBy)
@@ -1739,6 +1761,11 @@ void sqlite3WindowCodeStep(
     return;
   }
 
+  /*
+  ** Call windowCodeCacheStep() if there is a window function that requires
+  ** that the entire partition be cached in a temp table before any rows
+  ** are returned.
+  */
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     FuncDef *pFunc = pWin->pFunc;
     if( (pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE)
diff --git a/test/window1.test b/test/window1.test
index 81541dad4e..18d547963c 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -214,9 +214,43 @@ do_execsql_test 6.2 {
   a 1 1 a 2 2 a 3 3 a 4 4 a 5 5 a 6 6 a 7 7
 }
 
-do_catchsql_test 3.5 {
+do_catchsql_test 6.3 {
   SELECT x, lag(x) FILTER (WHERE (x%2)=0) OVER w FROM t1 
   WINDOW w AS (ORDER BY x)
 } {1 {FILTER clause may only be used with aggregate window functions}}
+ 
+#-------------------------------------------------------------------------
+# Attempt to use a window function as an aggregate. And other errors.
+#
+reset_db
+do_execsql_test 7.0 {
+  CREATE TABLE t1(x, y);
+  INSERT INTO t1 VALUES(1, 2);
+  INSERT INTO t1 VALUES(3, 4);
+  INSERT INTO t1 VALUES(5, 6);
+  INSERT INTO t1 VALUES(7, 8);
+  INSERT INTO t1 VALUES(9, 10);
+}
+
+do_catchsql_test 7.1.1 {
+  SELECT nth_value(x, 1) FROM t1;
+} {1 {misuse of window function nth_value()}}
+do_catchsql_test 7.1.2 {
+  SELECT * FROM t1 WHERE nth_value(x, 1) OVER (ORDER BY y);
+} {1 {misuse of window function nth_value()}}
+do_catchsql_test 7.1.3 {
+  SELECT count(*) FROM t1 GROUP BY y HAVING nth_value(x, 1) OVER (ORDER BY y);
+} {1 {misuse of window function nth_value()}}
+do_catchsql_test 7.1.4 {
+  SELECT count(*) FROM t1 GROUP BY nth_value(x, 1) OVER (ORDER BY y);
+} {1 {misuse of window function nth_value()}}
+do_catchsql_test 7.1.5 {
+  SELECT count(*) FROM t1 LIMIT nth_value(x, 1) OVER (ORDER BY y);
+} {1 {no such column: x}}
+do_catchsql_test 7.1.6 {
+  SELECT trim(x) OVER (ORDER BY y) FROM t1;
+} {1 {trim() may not be used as a window function}}
+
 
 finish_test
+
diff --git a/test/window4.tcl b/test/window4.tcl
index 30b56ca4e8..6a85a2a290 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -102,6 +102,32 @@ execsql_test 3.4 {
   WINDOW w AS (ORDER BY a)
 }
 
+execsql_test 3.5.1 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 1 PRECEDING AND 2 PRECEDING)
+  FROM t5
+}
+execsql_test 3.5.2 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM t5
+}
+execsql_test 3.5.3 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 0 PRECEDING AND 0 PRECEDING)
+  FROM t5
+}
+
+execsql_test 3.6.1 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING AND 1 FOLLOWING)
+  FROM t5
+}
+execsql_test 3.6.2 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 1 FOLLOWING)
+  FROM t5
+}
+execsql_test 3.6.3 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 0 FOLLOWING AND 0 FOLLOWING)
+  FROM t5
+}
+
 
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index 70963800f5..317824e4c4 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -176,14 +176,39 @@ do_execsql_test 3.3 {
   ORDER BY a;
 } {1 1 5   2 2 4   3 3 3   4 4 2   5 5 1}
 
-explain_i {
-  SELECT a, max(a) FILTER (WHERE (a%2)=0) OVER w FROM t5 
-  WINDOW w AS (ORDER BY a)
-  }
-  breakpoint
 do_execsql_test 3.4 {
   SELECT a, max(a) FILTER (WHERE (a%2)=0) OVER w FROM t5 
   WINDOW w AS (ORDER BY a)
 } {1 {}   2 2   3 2   4 4   5 4}
 
+do_execsql_test 3.5.1 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 1 PRECEDING AND 2 PRECEDING)
+  FROM t5
+} {1 {}   2 {}   3 {}   4 {}   5 {}}
+
+do_execsql_test 3.5.2 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM t5
+} {1 {}   2 one   3 two   4 three   5 four}
+
+do_execsql_test 3.5.3 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 0 PRECEDING AND 0 PRECEDING)
+  FROM t5
+} {1 one   2 two   3 three   4 four   5 five}
+
+do_execsql_test 3.6.1 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING AND 1 FOLLOWING)
+  FROM t5
+} {1 {}   2 {}   3 {}   4 {}   5 {}}
+
+do_execsql_test 3.6.2 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 1 FOLLOWING)
+  FROM t5
+} {1 two   2 three   3 four   4 five   5 {}}
+
+do_execsql_test 3.6.3 {
+  SELECT a, max(c) OVER (ORDER BY a ROWS BETWEEN 0 FOLLOWING AND 0 FOLLOWING)
+  FROM t5
+} {1 one   2 two   3 three   4 four   5 five}
+
 finish_test

From 8fa622d62bd98ebff5871ff8af271e2b48177e89 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 11 Jun 2018 19:47:14 +0000
Subject: [PATCH 059/154] Fix various --enable and --disable options on the
 top-level configure script.

FossilOrigin-Name: 6fd7e8ceb96981cff023653a54b85bea0e1da3d706cd9f4383f5c5533213ef4d
---
 configure     | 60 +++++++++++++++------------------------------------
 configure.ac  | 48 +++++++++++++++--------------------------
 manifest      | 14 ++++++------
 manifest.uuid |  2 +-
 4 files changed, 42 insertions(+), 82 deletions(-)

diff --git a/configure b/configure
index aa18ccb622..8844bb768a 100755
--- a/configure
+++ b/configure
@@ -10455,8 +10455,6 @@ fi
 # Check whether --enable-threadsafe was given.
 if test "${enable_threadsafe+set}" = set; then :
   enableval=$enable_threadsafe;
-else
-  enable_threadsafe=yes
 fi
 
 { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to support threadsafe operation" >&5
@@ -11249,12 +11247,10 @@ fi
 # check for debug enabled
 # Check whether --enable-debug was given.
 if test "${enable_debug+set}" = set; then :
-  enableval=$enable_debug; use_debug=$enableval
-else
-  use_debug=no
+  enableval=$enable_debug;
 fi
 
-if test "${use_debug}" = "yes" ; then
+if test "${enable_debug}" = "yes" ; then
   TARGET_DEBUG="-DSQLITE_DEBUG=1 -DSQLITE_ENABLE_SELECTTRACE -DSQLITE_ENABLE_WHERETRACE -O0"
 else
   TARGET_DEBUG="-DNDEBUG"
@@ -11265,12 +11261,10 @@ fi
 # See whether we should use the amalgamation to build
 # Check whether --enable-amalgamation was given.
 if test "${enable_amalgamation+set}" = set; then :
-  enableval=$enable_amalgamation; use_amalgamation=$enableval
-else
-  use_amalgamation=yes
+  enableval=$enable_amalgamation;
 fi
 
-if test "${use_amalgamation}" != "yes" ; then
+if test "${enable_amalgamation}" == "no" ; then
   USE_AMALGAMATION=0
 fi
 
@@ -11353,12 +11347,12 @@ fi
 # See whether we should allow loadable extensions
 # Check whether --enable-load-extension was given.
 if test "${enable_load_extension+set}" = set; then :
-  enableval=$enable_load_extension; use_loadextension=$enableval
+  enableval=$enable_load_extension;
 else
-  use_loadextension=yes
+  enable_load_extension=yes
 fi
 
-if test "${use_loadextension}" = "yes" ; then
+if test "${enable_load_extension}" = "yes" ; then
   OPT_FEATURE_FLAGS=""
   { $as_echo "$as_me:${as_lineno-$LINENO}: checking for library containing dlopen" >&5
 $as_echo_n "checking for library containing dlopen... " >&6; }
@@ -11425,9 +11419,7 @@ fi
 #
 # Check whether --enable-memsys5 was given.
 if test "${enable_memsys5+set}" = set; then :
-  enableval=$enable_memsys5; enable_memsys5=yes
-else
-  enable_memsys5=no
+  enableval=$enable_memsys5;
 fi
 
 { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to support MEMSYS5" >&5
@@ -11442,9 +11434,7 @@ $as_echo "no" >&6; }
 fi
 # Check whether --enable-memsys3 was given.
 if test "${enable_memsys3+set}" = set; then :
-  enableval=$enable_memsys3; enable_memsys3=yes
-else
-  enable_memsys3=no
+  enableval=$enable_memsys3;
 fi
 
 { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to support MEMSYS3" >&5
@@ -11462,9 +11452,7 @@ fi
 # See whether we should enable Full Text Search extensions
 # Check whether --enable-fts3 was given.
 if test "${enable_fts3+set}" = set; then :
-  enableval=$enable_fts3; enable_fts3=yes
-else
-  enable_fts3=no
+  enableval=$enable_fts3;
 fi
 
 if test "${enable_fts3}" = "yes" ; then
@@ -11472,9 +11460,7 @@ if test "${enable_fts3}" = "yes" ; then
 fi
 # Check whether --enable-fts4 was given.
 if test "${enable_fts4+set}" = set; then :
-  enableval=$enable_fts4; enable_fts4=yes
-else
-  enable_fts4=no
+  enableval=$enable_fts4;
 fi
 
 if test "${enable_fts4}" = "yes" ; then
@@ -11538,9 +11524,7 @@ fi
 fi
 # Check whether --enable-fts5 was given.
 if test "${enable_fts5+set}" = set; then :
-  enableval=$enable_fts5; enable_fts5=yes
-else
-  enable_fts5=no
+  enableval=$enable_fts5;
 fi
 
 if test "${enable_fts5}" = "yes" ; then
@@ -11607,9 +11591,7 @@ fi
 # See whether we should enable JSON1
 # Check whether --enable-json1 was given.
 if test "${enable_json1+set}" = set; then :
-  enableval=$enable_json1; enable_json1=yes
-else
-  enable_json1=no
+  enableval=$enable_json1;
 fi
 
 if test "${enable_json1}" = "yes" ; then
@@ -11621,9 +11603,7 @@ fi
 # statements.
 # Check whether --enable-update-limit was given.
 if test "${enable_update_limit+set}" = set; then :
-  enableval=$enable_update_limit; enable_udlimit=yes
-else
-  enable_udlimit=no
+  enableval=$enable_update_limit;
 fi
 
 if test "${enable_udlimit}" = "yes" ; then
@@ -11634,9 +11614,7 @@ fi
 # See whether we should enable RTREE
 # Check whether --enable-rtree was given.
 if test "${enable_rtree+set}" = set; then :
-  enableval=$enable_rtree; enable_rtree=yes
-else
-  enable_rtree=no
+  enableval=$enable_rtree;
 fi
 
 if test "${enable_rtree}" = "yes" ; then
@@ -11647,9 +11625,7 @@ fi
 # See whether we should enable the SESSION extension
 # Check whether --enable-session was given.
 if test "${enable_session+set}" = set; then :
-  enableval=$enable_session; enable_session=yes
-else
-  enable_session=no
+  enableval=$enable_session;
 fi
 
 if test "${enable_session}" = "yes" ; then
@@ -11712,9 +11688,7 @@ BUILD_CFLAGS=$ac_temp_BUILD_CFLAGS
 # See whether we should use GCOV
 # Check whether --enable-gcov was given.
 if test "${enable_gcov+set}" = set; then :
-  enableval=$enable_gcov; use_gcov=$enableval
-else
-  use_gcov=no
+  enableval=$enable_gcov;
 fi
 
 if test "${use_gcov}" = "yes" ; then
diff --git a/configure.ac b/configure.ac
index 7089772d19..18b4796909 100644
--- a/configure.ac
+++ b/configure.ac
@@ -182,7 +182,7 @@ AC_SUBST(BUILD_CC)
 # Do we want to support multithreaded use of sqlite
 #
 AC_ARG_ENABLE(threadsafe, 
-AC_HELP_STRING([--disable-threadsafe],[Disable mutexing]),,enable_threadsafe=yes)
+AC_HELP_STRING([--disable-threadsafe],[Disable mutexing]))
 AC_MSG_CHECKING([whether to support threadsafe operation])
 if test "$enable_threadsafe" = "no"; then
   SQLITE_THREADSAFE=0
@@ -557,9 +557,8 @@ AC_SEARCH_LIBS(fdatasync, [rt])
 
 #########
 # check for debug enabled
-AC_ARG_ENABLE(debug, AC_HELP_STRING([--enable-debug],[enable debugging & verbose explain]),
-      [use_debug=$enableval],[use_debug=no])
-if test "${use_debug}" = "yes" ; then
+AC_ARG_ENABLE(debug, AC_HELP_STRING([--enable-debug],[enable debugging & verbose explain]))
+if test "${enable_debug}" = "yes" ; then
   TARGET_DEBUG="-DSQLITE_DEBUG=1 -DSQLITE_ENABLE_SELECTTRACE -DSQLITE_ENABLE_WHERETRACE -O0"
 else
   TARGET_DEBUG="-DNDEBUG"
@@ -569,9 +568,8 @@ AC_SUBST(TARGET_DEBUG)
 #########
 # See whether we should use the amalgamation to build
 AC_ARG_ENABLE(amalgamation, AC_HELP_STRING([--disable-amalgamation],
-      [Disable the amalgamation and instead build all files separately]),
-      [use_amalgamation=$enableval],[use_amalgamation=yes])
-if test "${use_amalgamation}" != "yes" ; then
+      [Disable the amalgamation and instead build all files separately]))
+if test "${enable_amalgamation}" == "no" ; then
   USE_AMALGAMATION=0
 fi
 AC_SUBST(USE_AMALGAMATION)
@@ -585,9 +583,8 @@ AC_SUBST(HAVE_ZLIB)
 #########
 # See whether we should allow loadable extensions
 AC_ARG_ENABLE(load-extension, AC_HELP_STRING([--disable-load-extension],
-      [Disable loading of external extensions]),
-      [use_loadextension=$enableval],[use_loadextension=yes])
-if test "${use_loadextension}" = "yes" ; then
+      [Disable loading of external extensions]),,[enable_load_extension=yes])
+if test "${enable_load_extension}" = "yes" ; then
   OPT_FEATURE_FLAGS=""
   AC_SEARCH_LIBS(dlopen, dl)
 else
@@ -598,8 +595,7 @@ fi
 # Do we want to support memsys3 and/or memsys5
 #
 AC_ARG_ENABLE(memsys5, 
-  AC_HELP_STRING([--enable-memsys5],[Enable MEMSYS5]),
-  [enable_memsys5=yes],[enable_memsys5=no])
+  AC_HELP_STRING([--enable-memsys5],[Enable MEMSYS5]))
 AC_MSG_CHECKING([whether to support MEMSYS5])
 if test "${enable_memsys5}" = "yes"; then
   OPT_FEATURE_FLAGS="${OPT_FEATURE_FLAGS} -DSQLITE_ENABLE_MEMSYS5"
@@ -608,8 +604,7 @@ else
   AC_MSG_RESULT([no])
 fi
 AC_ARG_ENABLE(memsys3, 
-  AC_HELP_STRING([--enable-memsys3],[Enable MEMSYS3]),
-  [enable_memsys3=yes],[enable_memsys3=no])
+  AC_HELP_STRING([--enable-memsys3],[Enable MEMSYS3]))
 AC_MSG_CHECKING([whether to support MEMSYS3])
 if test "${enable_memsys3}" = "yes" -a "${enable_memsys5}" = "no"; then
   OPT_FEATURE_FLAGS="${OPT_FEATURE_FLAGS} -DSQLITE_ENABLE_MEMSYS3"
@@ -621,21 +616,18 @@ fi
 #########
 # See whether we should enable Full Text Search extensions
 AC_ARG_ENABLE(fts3, AC_HELP_STRING([--enable-fts3],
-      [Enable the FTS3 extension]),
-      [enable_fts3=yes],[enable_fts3=no])
+      [Enable the FTS3 extension]))
 if test "${enable_fts3}" = "yes" ; then
   OPT_FEATURE_FLAGS="${OPT_FEATURE_FLAGS} -DSQLITE_ENABLE_FTS3"
 fi
 AC_ARG_ENABLE(fts4, AC_HELP_STRING([--enable-fts4],
-      [Enable the FTS4 extension]),
-      [enable_fts4=yes],[enable_fts4=no])
+      [Enable the FTS4 extension]))
 if test "${enable_fts4}" = "yes" ; then
   OPT_FEATURE_FLAGS="${OPT_FEATURE_FLAGS} -DSQLITE_ENABLE_FTS4"
   AC_SEARCH_LIBS([log],[m])
 fi
 AC_ARG_ENABLE(fts5, AC_HELP_STRING([--enable-fts5],
-      [Enable the FTS5 extension]),
-      [enable_fts5=yes],[enable_fts5=no])
+      [Enable the FTS5 extension]))
 if test "${enable_fts5}" = "yes" ; then
   OPT_FEATURE_FLAGS="${OPT_FEATURE_FLAGS} -DSQLITE_ENABLE_FTS5"
   AC_SEARCH_LIBS([log],[m])
@@ -643,9 +635,7 @@ fi
 
 #########
 # See whether we should enable JSON1
-AC_ARG_ENABLE(json1, AC_HELP_STRING([--enable-json1],
-      [Enable the JSON1 extension]),
-      [enable_json1=yes],[enable_json1=no])
+AC_ARG_ENABLE(json1, AC_HELP_STRING([--enable-json1],[Enable the JSON1 extension]))
 if test "${enable_json1}" = "yes" ; then
   OPT_FEATURE_FLAGS="${OPT_FEATURE_FLAGS} -DSQLITE_ENABLE_JSON1"
 fi
@@ -654,8 +644,7 @@ fi
 # See whether we should enable the LIMIT clause on UPDATE and DELETE
 # statements.
 AC_ARG_ENABLE(update-limit, AC_HELP_STRING([--enable-update-limit],
-      [Enable the UPDATE/DELETE LIMIT clause]),
-      [enable_udlimit=yes],[enable_udlimit=no])
+      [Enable the UPDATE/DELETE LIMIT clause]))
 if test "${enable_udlimit}" = "yes" ; then
   OPT_FEATURE_FLAGS="${OPT_FEATURE_FLAGS} -DSQLITE_ENABLE_UPDATE_DELETE_LIMIT"
 fi
@@ -663,8 +652,7 @@ fi
 #########
 # See whether we should enable RTREE
 AC_ARG_ENABLE(rtree, AC_HELP_STRING([--enable-rtree],
-      [Enable the RTREE extension]),
-      [enable_rtree=yes],[enable_rtree=no])
+      [Enable the RTREE extension]))
 if test "${enable_rtree}" = "yes" ; then
   OPT_FEATURE_FLAGS="${OPT_FEATURE_FLAGS} -DSQLITE_ENABLE_RTREE"
 fi
@@ -672,8 +660,7 @@ fi
 #########
 # See whether we should enable the SESSION extension
 AC_ARG_ENABLE(session, AC_HELP_STRING([--enable-session],
-      [Enable the SESSION extension]),
-      [enable_session=yes],[enable_session=no])
+      [Enable the SESSION extension]))
 if test "${enable_session}" = "yes" ; then
   OPT_FEATURE_FLAGS="${OPT_FEATURE_FLAGS} -DSQLITE_ENABLE_SESSION"
   OPT_FEATURE_FLAGS="${OPT_FEATURE_FLAGS} -DSQLITE_ENABLE_PREUPDATE_HOOK"
@@ -733,8 +720,7 @@ BUILD_CFLAGS=$ac_temp_BUILD_CFLAGS
 #########
 # See whether we should use GCOV
 AC_ARG_ENABLE(gcov, AC_HELP_STRING([--enable-gcov],
-      [Enable coverage testing using gcov]),
-      [use_gcov=$enableval],[use_gcov=no])
+      [Enable coverage testing using gcov]))
 if test "${use_gcov}" = "yes" ; then
   USE_GCOV=1
 else
diff --git a/manifest b/manifest
index 6e78cae8c2..cf800859f4 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sthe\scolumn\scache\sinvalidation\slogic\sin\sthe\scode\sfor\sROWID\suniqueness\nconstraint\schecking\sin\sthe\sINSERT\scommand.\s\sThis\sfixes\sticket\n[c2432ef9089ee73bd].
-D 2018-06-11T18:06:48.831
+C Fix\svarious\s--enable\sand\s--disable\soptions\son\sthe\stop-level\sconfigure\nscript.
+D 2018-06-11T19:47:14.809
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -33,8 +33,8 @@ F autoconf/tea/win/rules.vc c511f222b80064096b705dbeb97060ee1d6b6d63
 F config.guess 226d9a188c6196f3033ffc651cbc9dcee1a42977
 F config.h.in 6376abec766e9a0785178b1823b5a587e9f1ccbc
 F config.sub 9ebe4c3b3dab6431ece34f16828b594fb420da55
-F configure 481df2c668b5c8cd5723dbcda88df8e6796a23884877109d1fe558667a0474bf x
-F configure.ac d4529ebb26ae046269334f1dac65f2b1d6927c2efe22b2ec24dce24dfe4f83dd
+F configure a46cba271ae08d635a1f331384c04563bdd37adb3d63cbdcffb1d91babfb64f5 x
+F configure.ac 18c93e8bbeec8254832c4ea90eb06e7187fd150ef098baed02467eeb374afb17
 F contrib/sqlitecon.tcl 210a913ad63f9f991070821e599d600bd913e0ad
 F doc/lemon.html ac63db056bce24b7368e29319cd1a7eb5f1798cc85922d96a80b6c3a4ff9f51b
 F doc/pager-invariants.txt 27fed9a70ddad2088750c4a2b493b63853da2710
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P b37614a3670770919a7c7f8157c5fd6578d736447998640b52e5cef8174cadc2
-R 43b6e2e7bff8d43b71b0521d42db382b
+P 0b485a571c805a5bc431a231a196ff6034342c6548d92b09c52814dd57c89c75
+R 5eaa6e915a0db5dfed9f95ded349d602
 U drh
-Z ba39774432820fe8ba51d6921586d213
+Z e9b1aa32b7571b8f9809363bacf9d1ed
diff --git a/manifest.uuid b/manifest.uuid
index 1d589ef851..92acaca48a 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-0b485a571c805a5bc431a231a196ff6034342c6548d92b09c52814dd57c89c75
\ No newline at end of file
+6fd7e8ceb96981cff023653a54b85bea0e1da3d706cd9f4383f5c5533213ef4d
\ No newline at end of file

From 2a11bb23eb1ae89041635efbd193f6616b16e138 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 11 Jun 2018 20:50:25 +0000
Subject: [PATCH 060/154] Clarify the relationship between a Window object and
 its associated Expr.

FossilOrigin-Name: 0cd55e98a478740032f5569ddc00fa5b0e063e90db6e00ac7598c9b7c2fffeee
---
 manifest        |  18 ++---
 manifest.uuid   |   2 +-
 src/expr.c      |   2 +-
 src/resolve.c   |   2 -
 src/sqliteInt.h |   3 +-
 src/window.c    | 209 ++++++++++++++++--------------------------------
 6 files changed, 79 insertions(+), 157 deletions(-)

diff --git a/manifest b/manifest
index 18f389d932..c3a8208d5d 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\shandling\sof\swindow\sframes\scontaining\snegative\snumber\sof\srows.\se.g.\s"ROWS\sx\nPRECEDING\sAND\sy\sPRECEDING"\swhere\s(x<y).
-D 2018-06-11T18:16:51.622
+C Clarify\sthe\srelationship\sbetween\sa\sWindow\sobject\sand\sits\sassociated\sExpr.
+D 2018-06-11T20:50:25.844
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -447,7 +447,7 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 4aa7f26198934dbd002e69418220eae3dbc71b010bbac32bd78faf86b52ce6c3
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
-F src/expr.c d6db67ebe0597f87381827513ae168b202956fca35add953e294afc80fa41675
+F src/expr.c 1963827d3ab4aaa006c0b72ff486c537f9690acece2ad5852f65bd6e1336cec7
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
 F src/func.c a5ee3864264edea8fea4d2dfdf8296250cff9139343953da78d82837241659a9
@@ -493,14 +493,14 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c e966ecc97c3671ff0e96227c8c877b83f2d33ea371ee190bbf1698b36b5605c0
 F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c 03791a761ede3a2cd71dffb92aa760d728122dbbdbf26010813da3edd01cb431
+F src/resolve.c a8cf3d6144f6a821f002dad72f80659691e827a96e6da6dedf8b263edefe3a80
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 0b0ce29bd7b8a7232e6f7602ddb447caa954a1fc476ff5e23ce1e5aaa6a0e0ed
 F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf9
 F src/sqlite.h.in 63b07f76731f2b1e55c48fdb9f0508dcc6fbe3971010b8612ffd847c3c56d9a1
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 04c732e9e770d35c12f5e649b7288510f3a2abb238e32eadaf506678717ddb25
+F src/sqliteInt.h 939c1893f7a5fd34cb79e30ecd46d00e81c847e5026c75c213a49938f33e74ba
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -583,7 +583,7 @@ F src/where.c fe1a6f97c12cc9472ccce86166ba3f827cf61d6ae770c036a6396b63863baac4
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 6f022d6cc9daf56495f191b199352f783aff5cf268ba136b4d8cea3fb62d8c7d
-F src/window.c 0519e5a03ebbcf22ab692410d4b25f28cc2d0e4e37e6288ca1eb0820276d67ba
+F src/window.c a5ebf5b119f50a1c886a900cf817ada2d9e3cf30633471e1444423424443756c
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P e74f86f271d6ab1ecd17c1ee63ab2aa0885ca56624be7382872f04d46c48ed86
-R a123bfa3a94ae6460114239fab9e1170
+P b6d9c7eda853420ae46a05bd432711e8bf9ebaa448c7d90ccfc0bcc338a87706
+R 118974de7b2e01c35e697f59c5a4477b
 U dan
-Z 6b49a0a9a9265834682b1c9c02ee1753
+Z 1841ea3c1d7c82f1a89ee2ea7c51ae4b
diff --git a/manifest.uuid b/manifest.uuid
index 0cd6c62cdb..4bf55168e2 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-b6d9c7eda853420ae46a05bd432711e8bf9ebaa448c7d90ccfc0bcc338a87706
\ No newline at end of file
+0cd55e98a478740032f5569ddc00fa5b0e063e90db6e00ac7598c9b7c2fffeee
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index 819a14bced..9431c4c205 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -1271,7 +1271,7 @@ static Expr *exprDup(sqlite3 *db, Expr *p, int dupFlags, u8 **pzBuffer){
       if( ExprHasProperty(p, EP_Reduced|EP_TokenOnly) ){
         pNew->pWin = 0;
       }else{
-        pNew->pWin = sqlite3WindowDup(db, p->pWin);
+        pNew->pWin = sqlite3WindowDup(db, pNew, p->pWin);
       }
       if( !ExprHasProperty(p, EP_TokenOnly|EP_Leaf) ){
         if( pNew->op==TK_SELECT_COLUMN ){
diff --git a/src/resolve.c b/src/resolve.c
index 0d94668190..221564f9d3 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -800,8 +800,6 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
             pExpr->pWin->pNextWin = pSel->pWin;
             pSel->pWin = pExpr->pWin;
           }
-          pExpr->pWin->pFunc = pDef;
-          pExpr->pWin->nArg = (pExpr->x.pList ? pExpr->x.pList->nExpr : 0);
         }else{
           NameContext *pNC2 = pNC;
           pExpr->op = TK_AGG_FUNCTION;
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 7d4c3ea713..cd702cef1d 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -3488,7 +3488,6 @@ struct Window {
 
   Expr *pFilter;
   FuncDef *pFunc;
-  int nArg;
 
   int iEphCsr;            /* Temp table used by this window */
   int regAccum;
@@ -3513,7 +3512,7 @@ void sqlite3WindowCodeStep(Parse*, Select*, WhereInfo*, int, int);
 int sqlite3WindowRewrite(Parse*, Select*);
 int sqlite3ExpandSubquery(Parse*, struct SrcList_item*);
 void sqlite3WindowUpdate(Parse*, Window*, Window*, FuncDef*);
-Window *sqlite3WindowDup(sqlite3 *db, Window *p);
+Window *sqlite3WindowDup(sqlite3 *db, Expr *pOwner, Window *p);
 
 /*
 ** Assuming zIn points to the first byte of a UTF-8 character,
diff --git a/src/window.c b/src/window.c
index 9c63362105..a627be1bc6 100644
--- a/src/window.c
+++ b/src/window.c
@@ -26,7 +26,7 @@ static void row_numberStepFunc(
   i64 *p = (i64*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ) (*p)++;
 }
-static void row_numberInverseFunc(
+static void row_numberInvFunc(
   sqlite3_context *pCtx, 
   int nArg,
   sqlite3_value **apArg
@@ -38,7 +38,8 @@ static void row_numberValueFunc(sqlite3_context *pCtx){
 }
 
 /*
-** Context object type used by rank() and dense_rank().
+** Context object type used by rank(), dense_rank(), percent_rank() and
+** cume_dist().
 */
 struct CallCount {
   i64 nValue;
@@ -58,7 +59,7 @@ static void dense_rankStepFunc(
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ) p->nStep = 1;
 }
-static void dense_rankInverseFunc(
+static void dense_rankInvFunc(
   sqlite3_context *pCtx, 
   int nArg,
   sqlite3_value **apArg
@@ -93,7 +94,7 @@ static void rankStepFunc(
     }
   }
 }
-static void rankInverseFunc(
+static void rankInvFunc(
   sqlite3_context *pCtx, 
   int nArg,
   sqlite3_value **apArg
@@ -130,7 +131,7 @@ static void percent_rankStepFunc(
     }
   }
 }
-static void percent_rankInverseFunc(
+static void percent_rankInvFunc(
   sqlite3_context *pCtx, 
   int nArg,
   sqlite3_value **apArg
@@ -166,7 +167,7 @@ static void cume_distStepFunc(
     p->nStep++;
   }
 }
-static void cume_distInverseFunc(
+static void cume_distInvFunc(
   sqlite3_context *pCtx, 
   int nArg,
   sqlite3_value **apArg
@@ -181,6 +182,9 @@ static void cume_distValueFunc(sqlite3_context *pCtx){
   }
 }
 
+/*
+** Context object for ntile() window function.
+*/
 struct NtileCtx {
   i64 nTotal;                     /* Total rows in partition */
   i64 nParam;                     /* Parameter passed to ntile(N) */
@@ -214,7 +218,7 @@ static void ntileStepFunc(
     p->iRow++;
   }
 }
-static void ntileInverseFunc(
+static void ntileInvFunc(
   sqlite3_context *pCtx, 
   int nArg,
   sqlite3_value **apArg
@@ -243,6 +247,9 @@ static void ntileValueFunc(sqlite3_context *pCtx){
   }
 }
 
+/*
+** Context object for last_value() window function.
+*/
 struct LastValueCtx {
   sqlite3_value *pVal;
   int nVal;
@@ -264,7 +271,7 @@ static void last_valueStepFunc(
     p->nVal++;
   }
 }
-static void last_valueInverseFunc(
+static void last_valueInvFunc(
   sqlite3_context *pCtx, 
   int nArg,
   sqlite3_value **apArg
@@ -296,76 +303,33 @@ static void last_valueFinalizeFunc(sqlite3_context *pCtx){
   }
 }
 
-static void nth_valueStepFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
-static void nth_valueInverseFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
-static void nth_valueValueFunc(sqlite3_context *pCtx){
-}
-
-static void first_valueStepFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
-static void first_valueInverseFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
-static void first_valueValueFunc(sqlite3_context *pCtx){
-}
-
-static void leadStepFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
-static void leadInverseFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
-static void leadValueFunc(sqlite3_context *pCtx){
-}
-
-static void lagStepFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
-static void lagInverseFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
-static void lagValueFunc(sqlite3_context *pCtx){
-}
+/*
+** No-op implementations of nth_value(), first_value(), lead() and lag().
+** These are all implemented inline using VDBE instructions. 
+*/
+static void nth_valueStepFunc(sqlite3_context *pCtx, int n, sqlite3_value **a){}
+static void nth_valueInvFunc(sqlite3_context *pCtx, int n, sqlite3_value **ap){}
+static void nth_valueValueFunc(sqlite3_context *pCtx){}
+static void first_valueStepFunc(sqlite3_context *p, int n, sqlite3_value **ap){}
+static void first_valueInvFunc(sqlite3_context *p, int n, sqlite3_value **ap){}
+static void first_valueValueFunc(sqlite3_context *pCtx){}
+static void leadStepFunc(sqlite3_context *pCtx, int n, sqlite3_value **ap){}
+static void leadInvFunc(sqlite3_context *pCtx, int n, sqlite3_value **ap){}
+static void leadValueFunc(sqlite3_context *pCtx){}
+static void lagStepFunc(sqlite3_context *pCtx, int n, sqlite3_value **ap){}
+static void lagInvFunc(sqlite3_context *pCtx, int n, sqlite3_value **ap){}
+static void lagValueFunc(sqlite3_context *pCtx){}
 
 #define WINDOWFUNC(name,nArg,extra) {                                      \
   nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
   name ## StepFunc, name ## ValueFunc, name ## ValueFunc,                  \
-  name ## InverseFunc, #name                                               \
+  name ## InvFunc, #name                                               \
 }
 
 #define WINDOWFUNCF(name,nArg,extra) {                                     \
   nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
   name ## StepFunc, name ## FinalizeFunc, name ## ValueFunc,               \
-  name ## InverseFunc, #name                                               \
+  name ## InvFunc, #name                                               \
 }
 
 /*
@@ -437,6 +401,7 @@ void sqlite3WindowUpdate(
       pWin->eEnd = TK_CURRENT;
     }
   }
+  pWin->pFunc = pFunc;
 }
 
 typedef struct WindowRewrite WindowRewrite;
@@ -462,7 +427,7 @@ static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
         Window *pWin;
         for(pWin=p->pWin; pWin; pWin=pWin->pNextWin){
           if( pExpr->pWin==pWin ){
-            pExpr->pWin->pOwner = pExpr;
+            assert( pWin->pOwner==pExpr );
             return WRC_Prune;
           }
         }
@@ -684,6 +649,7 @@ Window *sqlite3WindowAlloc(
 void sqlite3WindowAttach(Parse *pParse, Expr *p, Window *pWin){
   if( p ){
     p->pWin = pWin;
+    if( pWin ) pWin->pOwner = p;
   }else{
     sqlite3WindowDelete(pParse->db, pWin);
   }
@@ -766,6 +732,11 @@ static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
   sqlite3VdbeAppendP4(v, (void*)azErr[bEnd], P4_STATIC);
 }
 
+static int windowArgCount(Window *pWin){
+  ExprList *pList = pWin->pOwner->x.pList;
+  return (pList ? pList->nExpr : 0);
+}
+
 /*
 ** Generate VM code to invoke either xStep() (if bInverse is 0) or 
 ** xInverse (if bInverse is non-zero) for each window function in the 
@@ -784,11 +755,11 @@ static void windowAggStep(
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     int flags = pWin->pFunc->funcFlags;
     int regArg;
-    int nArg = pWin->nArg;
+    int nArg = windowArgCount(pWin);
 
     if( csr>=0 ){
       int i;
-      for(i=0; i<pWin->nArg; i++){
+      for(i=0; i<nArg; i++){
         sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+i, reg+i);
       }
       regArg = reg;
@@ -832,11 +803,12 @@ static void windowAggStep(
       int addrIf = 0;
       if( pWin->pFilter ){
         int regTmp;
+        assert( nArg==pWin->pOwner->x.pList->nExpr );
         if( csr>0 ){
           regTmp = sqlite3GetTempReg(pParse);
-          sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+pWin->nArg,regTmp);
+          sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+nArg,regTmp);
         }else{
-          regTmp = regArg + pWin->nArg;
+          regTmp = regArg + nArg;
         }
         addrIf = sqlite3VdbeAddOp3(v, OP_IfNot, regTmp, 0, 1);
         if( csr>0 ){
@@ -876,7 +848,7 @@ static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
       if( bFinal==0 ){
         sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
       }
-      sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, pWin->nArg);
+      sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, windowArgCount(pWin));
       sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
       if( bFinal ){
         sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
@@ -975,18 +947,19 @@ static void windowReturnOneRow(
       sqlite3ReleaseTempReg(pParse, tmpReg);
     }
     else if( pFunc->xSFunc==leadStepFunc || pFunc->xSFunc==lagStepFunc ){
+      int nArg = pWin->pOwner->x.pList->nExpr;
       int iEph = pWin->iEphCsr;
       int csr = pWin->csrApp;
       int lbl = sqlite3VdbeMakeLabel(v);
       int tmpReg = sqlite3GetTempReg(pParse);
 
-      if( pWin->nArg<3 ){
+      if( nArg<3 ){
         sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
       }else{
         sqlite3VdbeAddOp3(v, OP_Column, iEph, pWin->iArgCol+2, pWin->regResult);
       }
       sqlite3VdbeAddOp2(v, OP_Rowid, iEph, tmpReg);
-      if( pWin->nArg<2 ){
+      if( nArg<2 ){
         int val = (pFunc->xSFunc==leadStepFunc ? 1 : -1);
         sqlite3VdbeAddOp2(v, OP_AddImm, tmpReg, val);
       }else{
@@ -1036,7 +1009,7 @@ static int windowInitAccum(Parse *pParse, Window *pMWin){
   Window *pWin;
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
-    nArg = MAX(nArg, pWin->nArg);
+    nArg = MAX(nArg, windowArgCount(pWin));
     if( pWin->pFunc->xSFunc==nth_valueStepFunc
      || pWin->pFunc->xSFunc==first_valueStepFunc 
     ){
@@ -1663,7 +1636,7 @@ static void windowCodeDefaultStep(
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)-1);
 }
 
-Window *sqlite3WindowDup(sqlite3 *db, Window *p){
+Window *sqlite3WindowDup(sqlite3 *db, Expr *pOwner, Window *p){
   Window *pNew = 0;
   if( p ){
     pNew = sqlite3DbMallocZero(db, sizeof(Window));
@@ -1676,77 +1649,30 @@ Window *sqlite3WindowDup(sqlite3 *db, Window *p){
       pNew->eStart = p->eStart;
       pNew->pStart = sqlite3ExprDup(db, pNew->pStart, 0);
       pNew->pEnd = sqlite3ExprDup(db, pNew->pEnd, 0);
+      pNew->pOwner = pOwner;
     }
   }
   return pNew;
 }
 
 /*
-** RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
-**
-**   As above, except take no action for a "new peer". Invoke
-**   the sub-routine once only for each partition.
-**
-** RANGE BETWEEN CURRENT ROW AND CURRENT ROW
-**
-**   As above, except that the "new peer" condition is handled in the
-**   same way as "new partition" (so there is no "else if" block).
-**
-** RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
-**
-**   One way is to just reverse the sort order and do as for BETWEEN 
-**   UNBOUNDED PRECEDING AND CURRENT ROW. But that is not quite the same for
-**   things like group_concat(). And perhaps other user defined aggregates 
-**   as well.
-**
-**   ...
-**     if( new partition ){
-**       Gosub flush_partition;
-**       ResetSorter eph-table
-**     }
-**     AggStep
-**     Insert (record into eph-table)
-**   sqlite3WhereEnd()
-**   Gosub flush_partition
-**
-**  flush_partition:
-**   OpenDup (csr -> csr2)
-**   foreach (record in eph-table) {
-**     if( new peer ){
-**       while( csr2!=csr ){
-**         AggStep (xInverse)
-**         Next (csr2)
-**       }
-**     }
-**     AggFinal (xValue)
-**     Gosub addrGosub
-**   }
-**
-**========================================================================
-**
-** ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
-**   ...
-**     if( new partition ){
-**       AggFinal (xFinalize)
-**     }
-**     AggStep
-**     AggFinal (xValue)
-**     Gosub addrGosub
-**   sqlite3WhereEnd()
-**
+** sqlite3WhereBegin() has already been called for the SELECT statement 
+** passed as the second argument when this function is invoked. It generates
+** code to populate the Window.regResult register for each window function and
+** invoke the sub-routine at instruction addrGosub once for each row.
+** This function calls sqlite3WhereEnd() before returning. 
 */
 void sqlite3WindowCodeStep(
-  Parse *pParse, 
-  Select *p,
-  WhereInfo *pWInfo,
-  int regGosub, 
-  int addrGosub
+  Parse *pParse,                  /* Parse context */
+  Select *p,                      /* Rewritten SELECT statement */
+  WhereInfo *pWInfo,              /* Context returned by sqlite3WhereBegin() */
+  int regGosub,                   /* Register for OP_Gosub */
+  int addrGosub                   /* OP_Gosub here to return each row */
 ){
   Window *pMWin = p->pWin;
   Window *pWin;
 
-  /*
-  ** Call windowCodeRowExprStep() for all window modes *except*:
+  /* Call windowCodeRowExprStep() for all window modes *except*:
   **
   **   RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
   **   RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
@@ -1761,11 +1687,9 @@ void sqlite3WindowCodeStep(
     return;
   }
 
-  /*
-  ** Call windowCodeCacheStep() if there is a window function that requires
+  /* Call windowCodeCacheStep() if there is a window function that requires
   ** that the entire partition be cached in a temp table before any rows
-  ** are returned.
-  */
+  ** are returned.  */
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     FuncDef *pFunc = pWin->pFunc;
     if( (pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE)
@@ -1779,6 +1703,7 @@ void sqlite3WindowCodeStep(
     }
   }
 
+  /* Otherwise, call windowCodeDefaultStep().  */
   windowCodeDefaultStep(pParse, p, pWInfo, regGosub, addrGosub);
 }
 

From dd2a8f5ee91a746114b41f0f39672a9e3cb2adc1 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 11 Jun 2018 21:33:08 +0000
Subject: [PATCH 061/154] Improvements to the --enable and --disable options
 for the amalgamation tarball.

FossilOrigin-Name: 02e337e0808947c7ef376b5a300cd3c461f1a368c9fe7ffd7ca5744f102641c2
---
 autoconf/Makefile.am  |  3 +--
 autoconf/configure.ac | 63 ++++++++++++++++++++++++++++++-------------
 manifest              | 14 +++++-----
 manifest.uuid         |  2 +-
 4 files changed, 54 insertions(+), 28 deletions(-)

diff --git a/autoconf/Makefile.am b/autoconf/Makefile.am
index a9a8d803dc..20af7433be 100644
--- a/autoconf/Makefile.am
+++ b/autoconf/Makefile.am
@@ -1,6 +1,5 @@
 
-AM_CFLAGS = @THREADSAFE_FLAGS@ @DYNAMIC_EXTENSION_FLAGS@ @FTS5_FLAGS@ @JSON1_FLAGS@ @ZLIB_FLAGS@ @SESSION_FLAGS@ -DSQLITE_ENABLE_FTS3 -DSQLITE_ENABLE_RTREE @DEBUG_FLAGS@
-
+AM_CFLAGS = @BUILD_CFLAGS@ 
 lib_LTLIBRARIES = libsqlite3.la
 libsqlite3_la_SOURCES = sqlite3.c
 libsqlite3_la_LDFLAGS = -no-undefined -version-info 8:6:8
diff --git a/autoconf/configure.ac b/autoconf/configure.ac
index 76579c0a55..9c23492f95 100644
--- a/autoconf/configure.ac
+++ b/autoconf/configure.ac
@@ -29,6 +29,7 @@ AC_CHECK_FUNCS([fdatasync usleep fullfsync localtime_r gmtime_r])
 AC_FUNC_STRERROR_R
 
 AC_CONFIG_FILES([Makefile sqlite3.pc])
+BUILD_CFLAGS=
 AC_SUBST(BUILD_CFLAGS)
 
 #-------------------------------------------------------------------------
@@ -86,13 +87,11 @@ AC_SUBST(READLINE_LIBS)
 AC_ARG_ENABLE(threadsafe, [AS_HELP_STRING(
   [--enable-threadsafe], [build a thread-safe library [default=yes]])], 
   [], [enable_threadsafe=yes])
-THREADSAFE_FLAGS=-DSQLITE_THREADSAFE=0
 if test x"$enable_threadsafe" != "xno"; then
-  THREADSAFE_FLAGS="-D_REENTRANT=1 -DSQLITE_THREADSAFE=1"
+  BUILD_CFLAGS="$BUILD_CFLAGS -D_REENTRANT=1 -DSQLITE_THREADSAFE=1"
   AC_SEARCH_LIBS(pthread_create, pthread)
   AC_SEARCH_LIBS(pthread_mutexattr_init, pthread)
 fi
-AC_SUBST(THREADSAFE_FLAGS)
 #-----------------------------------------------------------------------
 
 #-----------------------------------------------------------------------
@@ -104,11 +103,32 @@ AC_ARG_ENABLE(dynamic-extensions, [AS_HELP_STRING(
 if test x"$enable_dynamic_extensions" != "xno"; then
   AC_SEARCH_LIBS(dlopen, dl)
 else
-  DYNAMIC_EXTENSION_FLAGS=-DSQLITE_OMIT_LOAD_EXTENSION=1
+  BUILD_CFLAGS="$BUILD_CFLAGS -DSQLITE_OMIT_LOAD_EXTENSION=1"
 fi
 AC_MSG_CHECKING([for whether to support dynamic extensions])
 AC_MSG_RESULT($enable_dynamic_extensions)
-AC_SUBST(DYNAMIC_EXTENSION_FLAGS)
+#-----------------------------------------------------------------------
+
+#-----------------------------------------------------------------------
+#   --enable-fts4
+#
+AC_ARG_ENABLE(fts4, [AS_HELP_STRING(
+  [--enable-fts4], [include fts4 support [default=yes]])], 
+  [], [enable_fts4=yes])
+if test x"$enable_fts4" = "xyes"; then
+  BUILD_CFLAGS="$BUILD_CFLAGS -DSQLITE_ENABLE_FTS4"
+fi
+#-----------------------------------------------------------------------
+
+#-----------------------------------------------------------------------
+#   --enable-fts3
+#
+AC_ARG_ENABLE(fts3, [AS_HELP_STRING(
+  [--enable-fts3], [include fts3 support [default=no]])], 
+  [], [])
+if test x"$enable_fts3" = "xyes" -a x"$enable_fts4" = "xno"; then
+  BUILD_CFLAGS="$BUILD_CFLAGS -DSQLITE_ENABLE_FTS3"
+fi
 #-----------------------------------------------------------------------
 
 #-----------------------------------------------------------------------
@@ -119,9 +139,8 @@ AC_ARG_ENABLE(fts5, [AS_HELP_STRING(
   [], [enable_fts5=yes])
 if test x"$enable_fts5" = "xyes"; then
   AC_SEARCH_LIBS(log, m)
-  FTS5_FLAGS=-DSQLITE_ENABLE_FTS5
+  BUILD_CFLAGS="$BUILD_CFLAGS -DSQLITE_ENABLE_FTS5"
 fi
-AC_SUBST(FTS5_FLAGS)
 #-----------------------------------------------------------------------
 
 #-----------------------------------------------------------------------
@@ -129,11 +148,21 @@ AC_SUBST(FTS5_FLAGS)
 #
 AC_ARG_ENABLE(json1, [AS_HELP_STRING(
   [--enable-json1], [include json1 support [default=yes]])], 
-  [], [enable_json1=yes])
+  [],[enable_json1=yes])
 if test x"$enable_json1" = "xyes"; then
-  JSON1_FLAGS=-DSQLITE_ENABLE_JSON1
+  BUILD_CFLAGS="$BUILD_CFLAGS -DSQLITE_ENABLE_JSON1"
+fi
+#-----------------------------------------------------------------------
+
+#-----------------------------------------------------------------------
+#   --enable-rtree
+#
+AC_ARG_ENABLE(rtree, [AS_HELP_STRING(
+  [--enable-rtree], [include rtree support [default=yes]])], 
+  [], [enable_rtree=yes])
+if test x"$enable_rtree" = "xyes"; then
+  BUILD_CFLAGS="$BUILD_CFLAGS -DSQLITE_ENABLE_RTREE"
 fi
-AC_SUBST(JSON1_FLAGS)
 #-----------------------------------------------------------------------
 
 #-----------------------------------------------------------------------
@@ -141,11 +170,10 @@ AC_SUBST(JSON1_FLAGS)
 #
 AC_ARG_ENABLE(session, [AS_HELP_STRING(
   [--enable-session], [enable the session extension [default=no]])], 
-  [], [enable_session=no])
+  [], [])
 if test x"$enable_session" = "xyes"; then
-  SESSION_FLAGS="-DSQLITE_ENABLE_SESSION -DSQLITE_ENABLE_PREUPDATE_HOOK"
+  BUILD_CFLAGS="$BUILD_CFLAGS-DSQLITE_ENABLE_SESSION -DSQLITE_ENABLE_PREUPDATE_HOOK"
 fi
-AC_SUBST(SESSION_FLAGS)
 #-----------------------------------------------------------------------
 
 #-----------------------------------------------------------------------
@@ -153,11 +181,11 @@ AC_SUBST(SESSION_FLAGS)
 #
 AC_ARG_ENABLE(debug, [AS_HELP_STRING(
   [--enable-debug], [build with debugging features enabled [default=no]])], 
-  [], [enable_debug=no])
+  [], [])
 if test x"$enable_debug" = "xyes"; then
-  DEBUG_FLAGS="-DSQLITE_DEBUG -DSQLITE_ENABLE_SELECTTRACE -DSQLITE_ENABLE_WHERETRACE"
+  BUILD_CFLAGS="$BUILD_CFLAGS -DSQLITE_DEBUG -DSQLITE_ENABLE_SELECTTRACE -DSQLITE_ENABLE_WHERETRACE"
+  CFLAGS="-g -O0"
 fi
-AC_SUBST(DEBUG_FLAGS)
 #-----------------------------------------------------------------------
 
 #-----------------------------------------------------------------------
@@ -177,9 +205,8 @@ AC_SUBST(EXTRA_SHELL_OBJ)
 
 AC_CHECK_FUNCS(posix_fallocate)
 AC_CHECK_HEADERS(zlib.h,[
-  AC_SEARCH_LIBS(deflate,z,[ZLIB_FLAGS="-DSQLITE_HAVE_ZLIB"])
+  AC_SEARCH_LIBS(deflate,z,[BUILD_CFLAGS="$BUILD_CFLAGS -DSQLITE_HAVE_ZLIB"])
 ])
-AC_SUBST(ZLIB_FLAGS)
 
 AC_SEARCH_LIBS(system,,,[SHELL_CFLAGS="-DSQLITE_NOHAVE_SYSTEM"])
 AC_SUBST(SHELL_CFLAGS)
diff --git a/manifest b/manifest
index cf800859f4..9176c582c2 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\svarious\s--enable\sand\s--disable\soptions\son\sthe\stop-level\sconfigure\nscript.
-D 2018-06-11T19:47:14.809
+C Improvements\sto\sthe\s--enable\sand\s--disable\soptions\sfor\sthe\namalgamation\starball.
+D 2018-06-11T21:33:08.080
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -12,12 +12,12 @@ F art/sqlite370.eps aa97a671332b432a54e1d74ff5e8775be34200c2
 F art/sqlite370.ico af56c1d00fee7cd4753e8631ed60703ed0fc6e90
 F art/sqlite370.jpg d512473dae7e378a67e28ff96a34da7cb331def2
 F autoconf/INSTALL 83e4a25da9fd053c7b3665eaaaf7919707915903
-F autoconf/Makefile.am 465fb475ee5a4b8a63d26c889cb36a4edbff0325b6859eb29a13cdf5c91b005c
+F autoconf/Makefile.am e14b629addaa1ce372b72043f28f40de2e32b7e211b6e0fc18dbb87989197e40
 F autoconf/Makefile.fallback 22fe523eb36dfce31e0f6349f782eb084e86a5620b2b0b4f84a2d6133f53f5ac
 F autoconf/Makefile.msc 6a46d0659d6e4a25346102bcba40a7fb4b0b8b2dc4faabdf0187488c6dd580d6
 F autoconf/README.first 6c4f34fe115ff55d4e8dbfa3cecf04a0188292f7
 F autoconf/README.txt 4f04b0819303aabaa35fff5f7b257fb0c1ef95f1
-F autoconf/configure.ac ac680e441d5dd8a55b66fc73cfd7a3c5adb39729ea2af4811f023c3c516057e4
+F autoconf/configure.ac 573b98629d6963e6d9bf2897c3f4708fb94ce49897822526ad268181875e1736
 F autoconf/tea/Makefile.in b438a7020446c8a8156e8d97c8914a04833da6fd
 F autoconf/tea/README 3e9a3c060f29a44344ab50aec506f4db903fb873
 F autoconf/tea/aclocal.m4 52c47aac44ce0ddb1f918b6993e8beb8eee88f43
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 0b485a571c805a5bc431a231a196ff6034342c6548d92b09c52814dd57c89c75
-R 5eaa6e915a0db5dfed9f95ded349d602
+P 6fd7e8ceb96981cff023653a54b85bea0e1da3d706cd9f4383f5c5533213ef4d
+R 414ca9989648294f080d634663eec938
 U drh
-Z e9b1aa32b7571b8f9809363bacf9d1ed
+Z a4f0ce66e9a0dbb0022d99959c8bd004
diff --git a/manifest.uuid b/manifest.uuid
index 92acaca48a..a4be908981 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-6fd7e8ceb96981cff023653a54b85bea0e1da3d706cd9f4383f5c5533213ef4d
\ No newline at end of file
+02e337e0808947c7ef376b5a300cd3c461f1a368c9fe7ffd7ca5744f102641c2
\ No newline at end of file

From cd9e01427d1c0c2cf8126504389ed81a50e179fe Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 12 Jun 2018 13:16:57 +0000
Subject: [PATCH 062/154] Fix the "Synopsis" on the OP_BitNot opcode.

FossilOrigin-Name: acd78df61188591d33ddb9b1b8c16bcc015f4dffac66314529caa747d4395c70
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/vdbe.c    |  2 +-
 3 files changed, 8 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 9176c582c2..080168b890 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Improvements\sto\sthe\s--enable\sand\s--disable\soptions\sfor\sthe\namalgamation\starball.
-D 2018-06-11T21:33:08.080
+C Fix\sthe\s"Synopsis"\son\sthe\sOP_BitNot\sopcode.
+D 2018-06-12T13:16:57.062
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -565,7 +565,7 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c e0ac1d7cff72b4e8b250c5e698f0fc43f0c8b5a8f35654716d8ab1fa89db669e
+F src/vdbe.c eb9588981fdab2c5a3ac3aaccf6d0289d49c23efb67e01791abf870841b76a3a
 F src/vdbe.h 9c8c245fa3785266c269ab02c135c836ff49a307612186686bcdae500f409945
 F src/vdbeInt.h 8ebc37ead2cfde92a63d74e3940fe0a94d456078c77e6cefbc2ecf15630f9fda
 F src/vdbeapi.c 765a0bbe01311626417de6cb743f7f25f9f98435c98a9df4bb0714d11014633d
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 6fd7e8ceb96981cff023653a54b85bea0e1da3d706cd9f4383f5c5533213ef4d
-R 414ca9989648294f080d634663eec938
+P 02e337e0808947c7ef376b5a300cd3c461f1a368c9fe7ffd7ca5744f102641c2
+R 2591c22cb15e250fcbdde34025ae1c5c
 U drh
-Z a4f0ce66e9a0dbb0022d99959c8bd004
+Z ff6163391180b8bdeebeb47ffcfc1ba4
diff --git a/manifest.uuid b/manifest.uuid
index a4be908981..f62837562a 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-02e337e0808947c7ef376b5a300cd3c461f1a368c9fe7ffd7ca5744f102641c2
\ No newline at end of file
+acd78df61188591d33ddb9b1b8c16bcc015f4dffac66314529caa747d4395c70
\ No newline at end of file
diff --git a/src/vdbe.c b/src/vdbe.c
index f65068672c..13d9e9c9a9 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -2257,7 +2257,7 @@ case OP_Not: {                /* same as TK_NOT, in1, out2 */
 }
 
 /* Opcode: BitNot P1 P2 * * *
-** Synopsis: r[P1]= ~r[P1]
+** Synopsis: r[P2]= ~r[P1]
 **
 ** Interpret the content of register P1 as an integer.  Store the
 ** ones-complement of the P1 value into register P2.  If P1 holds

From 58773a533c2b49c1897a6ef4239f0ed8f340a7ca Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 12 Jun 2018 13:52:23 +0000
Subject: [PATCH 063/154] Improvements to SCopy correctness tracking when
 SQLITE_DEBUG is enabled.

FossilOrigin-Name: b2973f2357a2c5e22e0d612c970adbc6d51cbc5e4ff7ac6d2b678722e553e8ec
---
 manifest      | 20 ++++++++++----------
 manifest.uuid |  2 +-
 src/vdbe.c    |  5 ++++-
 src/vdbeInt.h |  2 +-
 src/vdbeapi.c |  5 ++++-
 src/vdbeaux.c |  3 +++
 src/vdbemem.c |  2 +-
 7 files changed, 24 insertions(+), 15 deletions(-)

diff --git a/manifest b/manifest
index 080168b890..10c89ed3bd 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sthe\s"Synopsis"\son\sthe\sOP_BitNot\sopcode.
-D 2018-06-12T13:16:57.062
+C Improvements\sto\sSCopy\scorrectness\stracking\swhen\sSQLITE_DEBUG\sis\senabled.
+D 2018-06-12T13:52:23.858
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -565,13 +565,13 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c eb9588981fdab2c5a3ac3aaccf6d0289d49c23efb67e01791abf870841b76a3a
+F src/vdbe.c 7509cbdad75624ed397e581210db27cb2c99882a40cd1c3c2948641220a14a48
 F src/vdbe.h 9c8c245fa3785266c269ab02c135c836ff49a307612186686bcdae500f409945
-F src/vdbeInt.h 8ebc37ead2cfde92a63d74e3940fe0a94d456078c77e6cefbc2ecf15630f9fda
-F src/vdbeapi.c 765a0bbe01311626417de6cb743f7f25f9f98435c98a9df4bb0714d11014633d
-F src/vdbeaux.c 0e7af8614c87dd25bc2395d22c847deba96ff87d19758d5cd7f459a466f14cbb
+F src/vdbeInt.h 4531c172f8a51f90e3dcb8f49531ab64b17ad3aef85d19a6e8c925c2ddf59c66
+F src/vdbeapi.c af4a3de00d1851bcbc55b85dfbe52849aa2b1e17b4a5a1f3d9c257df7af361ff
+F src/vdbeaux.c c2d65c763b0811afe409e02e9d0d1f300c6e97892474fc94eec3da71955cd418
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
-F src/vdbemem.c 613cbbcca8d21c66df311fc17f9460180abcf7a909e12493618fd570f9858036
+F src/vdbemem.c e042161c85e1ce03ca9237e67e59c8381bc585ac6eaeae272f096f59ba4ec4be
 F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2f
 F src/vdbetrace.c 79d6dbbc479267b255a7de8080eee6e729928a0ef93ed9b0bfa5618875b48392
 F src/vtab.c 10ea07dec111de6fb0a4fc87a7ffa4c65fdc088a19dbfaf7d6f2b128f2e8eb7b
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 02e337e0808947c7ef376b5a300cd3c461f1a368c9fe7ffd7ca5744f102641c2
-R 2591c22cb15e250fcbdde34025ae1c5c
+P acd78df61188591d33ddb9b1b8c16bcc015f4dffac66314529caa747d4395c70
+R 93c40cd2c3858b20bb206e515693fb00
 U drh
-Z ff6163391180b8bdeebeb47ffcfc1ba4
+Z 26ce7d0e08fb2667e584724fb5000334
diff --git a/manifest.uuid b/manifest.uuid
index f62837562a..826912931d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-acd78df61188591d33ddb9b1b8c16bcc015f4dffac66314529caa747d4395c70
\ No newline at end of file
+b2973f2357a2c5e22e0d612c970adbc6d51cbc5e4ff7ac6d2b678722e553e8ec
\ No newline at end of file
diff --git a/src/vdbe.c b/src/vdbe.c
index 13d9e9c9a9..6cdfadb563 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -1276,10 +1276,12 @@ case OP_Copy: {
   pOut = &aMem[pOp->p2];
   assert( pOut!=pIn1 );
   while( 1 ){
+    memAboutToChange(p, pOut);
     sqlite3VdbeMemShallowCopy(pOut, pIn1, MEM_Ephem);
     Deephemeralize(pOut);
 #ifdef SQLITE_DEBUG
     pOut->pScopyFrom = 0;
+    pOut->iTabColHash = 0;
 #endif
     REGISTER_TRACE(pOp->p2+pOp->p3-n, pOut);
     if( (n--)==0 ) break;
@@ -1308,7 +1310,8 @@ case OP_SCopy: {            /* out2 */
   assert( pOut!=pIn1 );
   sqlite3VdbeMemShallowCopy(pOut, pIn1, MEM_Ephem);
 #ifdef SQLITE_DEBUG
-  if( pOut->pScopyFrom==0 ) pOut->pScopyFrom = pIn1;
+  pOut->pScopyFrom = pIn1;
+  pOut->mScopyFlags = pIn1->flags;
 #endif
   break;
 }
diff --git a/src/vdbeInt.h b/src/vdbeInt.h
index c883ce8b50..7bc56c0e39 100644
--- a/src/vdbeInt.h
+++ b/src/vdbeInt.h
@@ -209,7 +209,7 @@ struct sqlite3_value {
   void (*xDel)(void*);/* Destructor for Mem.z - only valid if MEM_Dyn */
 #ifdef SQLITE_DEBUG
   Mem *pScopyFrom;    /* This Mem is a shallow copy of pScopyFrom */
-  void *pFiller;      /* So that sizeof(Mem) is a multiple of 8 */
+  u16 mScopyFlags;    /* flags value immediately after the shallow copy */
 #endif
 #ifdef SQLITE_DEBUG_COLUMNCACHE
   u32 iTabColHash;    /* Hash of table.column that is origin of this value */
diff --git a/src/vdbeapi.c b/src/vdbeapi.c
index ced3e90144..fcc315bc65 100644
--- a/src/vdbeapi.c
+++ b/src/vdbeapi.c
@@ -970,7 +970,10 @@ static const Mem *columnNullValue(void){
         /* .xDel       = */ (void(*)(void*))0,
 #ifdef SQLITE_DEBUG
         /* .pScopyFrom = */ (Mem*)0,
-        /* .pFiller    = */ (void*)0,
+        /* .mScopyFlags= */ 0,
+#endif
+#ifdef SQLITE_DEBUG_COLUMNCACHE
+        /* .iTabColHash= */ 0,
 #endif
       };
   return &nullMem;
diff --git a/src/vdbeaux.c b/src/vdbeaux.c
index 856cad7649..d6efead321 100644
--- a/src/vdbeaux.c
+++ b/src/vdbeaux.c
@@ -1646,6 +1646,9 @@ static void initMemArray(Mem *p, int N, sqlite3 *db, u16 flags){
     p->szMalloc = 0;
 #ifdef SQLITE_DEBUG
     p->pScopyFrom = 0;
+#endif
+#ifdef SQLITE_DEBUG_COLUMNCACHE
+    p->iTabColHash = 0;
 #endif
     p++;
   }
diff --git a/src/vdbemem.c b/src/vdbemem.c
index 5ce4bca79d..06dc28eacb 100644
--- a/src/vdbemem.c
+++ b/src/vdbemem.c
@@ -892,7 +892,7 @@ void sqlite3VdbeMemAboutToChange(Vdbe *pVdbe, Mem *pMem){
       ** function for pX.  Minor changes, such as adding or removing a
       ** dual type, are allowed, as long as the underlying value is the
       ** same. */
-      u16 mFlags = pMem->flags & pX->flags;
+      u16 mFlags = pMem->flags & pX->flags & pX->mScopyFlags;
       assert( (mFlags&MEM_Int)==0 || pMem->u.i==pX->u.i );
       assert( (mFlags&MEM_Real)==0 || pMem->u.r==pX->u.r );
       assert( (mFlags&MEM_Str)==0  || (pMem->n==pX->n && pMem->z==pX->z) );

From 7392569f5ee59708ede3dde1d17e0f02ef5b8123 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Tue, 12 Jun 2018 18:40:17 +0000
Subject: [PATCH 064/154] Fix some problems with using window-functions in
 aggregate queries.

FossilOrigin-Name: fe7081e0952950f577234fcbb58f3c1efa4579267654fd2f713dc4804e470e7e
---
 manifest          |  18 +++----
 manifest.uuid     |   2 +-
 src/select.c      |   2 +-
 src/window.c      | 122 ++++++++++++++++++++++++++++++++++++++++++++++
 test/window4.tcl  |  21 ++++++++
 test/window4.test |  20 ++++++++
 6 files changed, 174 insertions(+), 11 deletions(-)

diff --git a/manifest b/manifest
index c3a8208d5d..7cc7cd4f7f 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Clarify\sthe\srelationship\sbetween\sa\sWindow\sobject\sand\sits\sassociated\sExpr.
-D 2018-06-11T20:50:25.844
+C Fix\ssome\sproblems\swith\susing\swindow-functions\sin\saggregate\squeries.
+D 2018-06-12T18:40:17.751
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -495,7 +495,7 @@ F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c a8cf3d6144f6a821f002dad72f80659691e827a96e6da6dedf8b263edefe3a80
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 0b0ce29bd7b8a7232e6f7602ddb447caa954a1fc476ff5e23ce1e5aaa6a0e0ed
+F src/select.c 224312eb28c1170117c8cef29abc8f6a420b2a60df26543df75632b731ecac8d
 F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf9
 F src/sqlite.h.in 63b07f76731f2b1e55c48fdb9f0508dcc6fbe3971010b8612ffd847c3c56d9a1
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
@@ -583,7 +583,7 @@ F src/where.c fe1a6f97c12cc9472ccce86166ba3f827cf61d6ae770c036a6396b63863baac4
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 6f022d6cc9daf56495f191b199352f783aff5cf268ba136b4d8cea3fb62d8c7d
-F src/window.c a5ebf5b119f50a1c886a900cf817ada2d9e3cf30633471e1444423424443756c
+F src/window.c 5fc1e9a4367bdd6c5afd318a36ec0b1f702fa1e3384621501873ec6b3e94651a
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1622,8 +1622,8 @@ F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fb
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
-F test/window4.tcl bfea0c4f65dff22568032ae3a0cf3be0910c4160314e5ac3f895eca11b068cb1
-F test/window4.test ca7c63f27604a0eb432cab1673da75498c69d66b9093ef80a5d4c7287b95906b
+F test/window4.tcl e64db87bac34d9a726f2b97c40f4adbfc21650a26b7015b18f357062266a0062
+F test/window4.test 36df9adf8b305b427fee8c9604a958e8fecb85c2ba21f6819ad3e87610253001
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P b6d9c7eda853420ae46a05bd432711e8bf9ebaa448c7d90ccfc0bcc338a87706
-R 118974de7b2e01c35e697f59c5a4477b
+P 0cd55e98a478740032f5569ddc00fa5b0e063e90db6e00ac7598c9b7c2fffeee
+R a9e6944f8f988df57ad1f0cd1beda118
 U dan
-Z 1841ea3c1d7c82f1a89ee2ea7c51ae4b
+Z e98e199ae454a383acf0272ef0289805
diff --git a/manifest.uuid b/manifest.uuid
index 4bf55168e2..1fb6535a25 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-0cd55e98a478740032f5569ddc00fa5b0e063e90db6e00ac7598c9b7c2fffeee
\ No newline at end of file
+fe7081e0952950f577234fcbb58f3c1efa4579267654fd2f713dc4804e470e7e
\ No newline at end of file
diff --git a/src/select.c b/src/select.c
index 48e1afd4ad..c90a978d1a 100644
--- a/src/select.c
+++ b/src/select.c
@@ -5464,7 +5464,6 @@ int sqlite3Select(
     goto select_end;
   }
   assert( p->pEList!=0 );
-  isAgg = (p->selFlags & SF_Aggregate)!=0;
 #if SELECTTRACE_ENABLED
   if( sqlite3SelectTrace & 0x104 ){
     SELECTTRACE(0x104,pParse,p, ("after name resolution:\n"));
@@ -5486,6 +5485,7 @@ int sqlite3Select(
   }
 #endif
   pTabList = p->pSrc;
+  isAgg = (p->selFlags & SF_Aggregate)!=0;
 
   /* Try to various optimizations (flattening subqueries, and strength
   ** reduction of join operators) in the FROM clause up into the main query
diff --git a/src/window.c b/src/window.c
index a627be1bc6..6d66fb82d7 100644
--- a/src/window.c
+++ b/src/window.c
@@ -12,6 +12,125 @@
 */
 #include "sqliteInt.h"
 
+/*
+** SELECT REWRITING
+**
+**   Any SELECT statement that contains one or more window functions in
+**   either the select list or ORDER BY clause (the only two places window
+**   functions may be used) is transformed by function sqlite3WindowRewrite()
+**   in order to support window function processing. For example, with the
+**   schema:
+**
+**     CREATE TABLE t1(a, b, c, d, e, f, g);
+**
+**   the statement:
+**
+**     SELECT a+1, max(b) OVER (PARTITION BY c ORDER BY d) FROM t1 ORDER BY e;
+**
+**   is transformed to:
+**
+**     SELECT a+1, max(b) OVER (PARTITION BY c ORDER BY d) FROM (
+**         SELECT a, e, c, d, b FROM t1 ORDER BY c, d
+**     ) ORDER BY e;
+**
+**   The flattening optimization is disabled when processing this transformed
+**   SELECT statement. This allows the implementation of the window function
+**   (in this case max()) to process rows sorted in order of (c, d), which
+**   makes things easier for obvious reasons. More generally:
+**
+**     * FROM, WHERE, GROUP BY and HAVING clauses are all moved to 
+**       the sub-query.
+**
+**     * ORDER BY, LIMIT and OFFSET remain part of the parent query.
+**
+**     * Terminals from each of the expression trees that make up the 
+**       select-list and ORDER BY expressions in the parent query are
+**       selected by the sub-query. For the purposes of the transformation,
+**       terminals are column references and aggregate functions.
+**
+**   If there is more than one window function in the SELECT that uses
+**   the same window declaration (the OVER bit), then a single scan may
+**   be used to process more than one window function. For example:
+**
+**     SELECT max(b) OVER (PARTITION BY c ORDER BY d), 
+**            min(e) OVER (PARTITION BY c ORDER BY d) 
+**     FROM t1;
+**
+**   is transformed in the same way as the example above. However:
+**
+**     SELECT max(b) OVER (PARTITION BY c ORDER BY d), 
+**            min(e) OVER (PARTITION BY a ORDER BY b) 
+**     FROM t1;
+**
+**   Must be transformed to:
+**
+**     SELECT max(b) OVER (PARTITION BY c ORDER BY d) FROM (
+**         SELECT e, min(e) OVER (PARTITION BY a ORDER BY b), c, d, b FROM
+**           SELECT a, e, c, d, b FROM t1 ORDER BY a, b
+**         ) ORDER BY c, d
+**     ) ORDER BY e;
+**
+**   so that both min() and max() may process rows in the order defined by
+**   their respective window declarations.
+**
+** INTERFACE WITH SELECT.C
+**
+**   When processing the rewritten SELECT statement, code in select.c calls
+**   sqlite3WhereBegin() to begin iterating through the results of the
+**   sub-query, which is always implemented as a co-routine. It then calls
+**   sqlite3WindowCodeStep() to process rows and finish the scan by calling
+**   sqlite3WhereEnd().
+**
+**   sqlite3WindowCodeStep() generates VM code so that, for each row returned
+**   by the sub-query a sub-routine (OP_Gosub) coded by select.c is invoked.
+**   When the sub-routine is invoked:
+**
+**     * The results of all window-functions for the row are stored
+**       in the associated Window.regResult registers.
+**
+**     * The required terminal values are stored in the current row of
+**       temp table Window.iEphCsr.
+**
+**   In some cases, depending on the window frame and the specific window
+**   functions invoked, sqlite3WindowCodeStep() caches each entire partition
+**   in a temp table before returning any rows. In other cases it does not.
+**   This detail is encapsulated within this file, the code generated by
+**   select.c is the same in either case.
+**
+** BUILT-IN WINDOW FUNCTIONS
+**
+**   This implementation features the following built-in window functions:
+**
+**     row_number()
+**     rank()
+**     dense_rank()
+**     percent_rank()
+**     cume_dist()
+**     ntile(N)
+**     lead(expr [, offset [, default]])
+**     lag(expr [, offset [, default]])
+**     first_value(expr)
+**     last_value(expr)
+**     nth_value(expr, N)
+**   
+**   These are the same built-in window functions supported by Postgres. 
+**   Although the behaviour of aggregate window functions (functions that
+**   can be used as either aggregates or window funtions) allows them to
+**   be implemented using an API, built-in window functions are much more
+**   esoteric. Additionally, some window functions (e.g. nth_value()) 
+**   may only be implemented by caching the entire partition in memory.
+**   As such, some built-in window functions use the same API as aggregate
+**   window functions and some are implemented directly using VDBE 
+**   instructions. Additionally, for those functions that use the API, the
+**   window frame is sometimes modified before the SELECT statement is
+**   rewritten. For example, regardless of the specified window frame, the
+**   row_number() function always uses:
+**
+**     ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+**
+**   See sqlite3WindowUpdate() for details.
+*/
+
 /*
 ** Implementation of built-in window function row_number(). Assumes that the
 ** window frame has been coerced to:
@@ -434,6 +553,7 @@ static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
       }
       /* Fall through.  */
 
+    case TK_AGG_FUNCTION:
     case TK_COLUMN: {
       Expr *pDup = sqlite3ExprDup(pParse->db, pExpr, 0);
       p->pSub = sqlite3ExprListAppend(pParse, p->pSub, pDup);
@@ -595,6 +715,8 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
         rc = SQLITE_NOMEM;
       }else{
         pSub->selFlags |= SF_Expanded;
+        p->selFlags &= ~SF_Aggregate;
+        sqlite3SelectPrep(pParse, pSub, 0);
       }
     }
 
diff --git a/test/window4.tcl b/test/window4.tcl
index 6a85a2a290..c0eb2b7abb 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -128,6 +128,27 @@ execsql_test 3.6.3 {
   FROM t5
 }
 
+#=========================================================================
+execsql_test 4.0 {
+  DROP TABLE IF EXISTS ttt;
+  CREATE TABLE ttt(a INTEGER PRIMARY KEY, b INTEGER, c INTEGER);
+  INSERT INTO ttt VALUES(1, 1, 1);
+  INSERT INTO ttt VALUES(2, 2, 2);
+  INSERT INTO ttt VALUES(3, 3, 3);
+
+  INSERT INTO ttt VALUES(4, 1, 2);
+  INSERT INTO ttt VALUES(5, 2, 3);
+  INSERT INTO ttt VALUES(6, 3, 4);
+
+  INSERT INTO ttt VALUES(7, 1, 3);
+  INSERT INTO ttt VALUES(8, 2, 4);
+  INSERT INTO ttt VALUES(9, 3, 5);
+}
+
+execsql_test 4.1 {
+  SELECT max(c), max(b) OVER (ORDER BY b) FROM ttt GROUP BY b;
+}
+
 
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index 317824e4c4..307465e843 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -211,4 +211,24 @@ do_execsql_test 3.6.3 {
   FROM t5
 } {1 one   2 two   3 three   4 four   5 five}
 
+do_execsql_test 4.0 {
+  DROP TABLE IF EXISTS ttt;
+  CREATE TABLE ttt(a INTEGER PRIMARY KEY, b INTEGER, c INTEGER);
+  INSERT INTO ttt VALUES(1, 1, 1);
+  INSERT INTO ttt VALUES(2, 2, 2);
+  INSERT INTO ttt VALUES(3, 3, 3);
+
+  INSERT INTO ttt VALUES(4, 1, 2);
+  INSERT INTO ttt VALUES(5, 2, 3);
+  INSERT INTO ttt VALUES(6, 3, 4);
+
+  INSERT INTO ttt VALUES(7, 1, 3);
+  INSERT INTO ttt VALUES(8, 2, 4);
+  INSERT INTO ttt VALUES(9, 3, 5);
+} {}
+
+do_execsql_test 4.1 {
+  SELECT max(c), max(b) OVER (ORDER BY b) FROM ttt GROUP BY b;
+} {3 1   4 2   5 3}
+
 finish_test

From 3086529f7c4b59e0f868aae01c302a3c81e4683c Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 12 Jun 2018 19:22:30 +0000
Subject: [PATCH 065/154] Documentation updates: clarify the behavior of
 sqlite3_column and sqlite3_value interfaces following an OOM error.

FossilOrigin-Name: 428c581e4bed1d140cfb670633c9c61b36be7bb30a862d2e1ae7eaee26dccb4f
---
 manifest        | 12 ++++++------
 manifest.uuid   |  2 +-
 src/sqlite.h.in | 46 +++++++++++++++++++++++++++++++++++++++++-----
 3 files changed, 48 insertions(+), 12 deletions(-)

diff --git a/manifest b/manifest
index 10c89ed3bd..86f566af13 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Improvements\sto\sSCopy\scorrectness\stracking\swhen\sSQLITE_DEBUG\sis\senabled.
-D 2018-06-12T13:52:23.858
+C Documentation\supdates:\sclarify\sthe\sbehavior\sof\ssqlite3_column\sand\nsqlite3_value\sinterfaces\sfollowing\san\sOOM\serror.
+D 2018-06-12T19:22:30.391
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -497,7 +497,7 @@ F src/resolve.c 14602f46800ba182ea6a490e0f304127d29ac1f724bdadcc639e25d3223fcf6e
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 8d3176c5258cc83942815ebe75b4c1f8dcf62b5e0f4d37373a14ebf23c046f9f
 F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf9
-F src/sqlite.h.in 63b07f76731f2b1e55c48fdb9f0508dcc6fbe3971010b8612ffd847c3c56d9a1
+F src/sqlite.h.in fd614975549a6b5904de35af89fd2d55fe35b4c170d0b355980d7e5872a2d30d
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
 F src/sqliteInt.h c8d304712b6b4e2150cbb5355b1a80427eee7b3ea1a6b5827afadf557360d7fe
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P acd78df61188591d33ddb9b1b8c16bcc015f4dffac66314529caa747d4395c70
-R 93c40cd2c3858b20bb206e515693fb00
+P b2973f2357a2c5e22e0d612c970adbc6d51cbc5e4ff7ac6d2b678722e553e8ec
+R 96ea65e1b8fd0c732cdc45dee2871747
 U drh
-Z 26ce7d0e08fb2667e584724fb5000334
+Z 40fdbbb1f5ad70e2a7a00adf1e075458
diff --git a/manifest.uuid b/manifest.uuid
index 826912931d..9bf43ac027 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-b2973f2357a2c5e22e0d612c970adbc6d51cbc5e4ff7ac6d2b678722e553e8ec
\ No newline at end of file
+428c581e4bed1d140cfb670633c9c61b36be7bb30a862d2e1ae7eaee26dccb4f
\ No newline at end of file
diff --git a/src/sqlite.h.in b/src/sqlite.h.in
index 3d2effa5b7..ce27c99077 100644
--- a/src/sqlite.h.in
+++ b/src/sqlite.h.in
@@ -4514,11 +4514,25 @@ int sqlite3_data_count(sqlite3_stmt *pStmt);
 ** from [sqlite3_column_blob()], [sqlite3_column_text()], etc. into
 ** [sqlite3_free()].
 **
-** ^(If a memory allocation error occurs during the evaluation of any
-** of these routines, a default value is returned.  The default value
-** is either the integer 0, the floating point number 0.0, or a NULL
-** pointer.  Subsequent calls to [sqlite3_errcode()] will return
-** [SQLITE_NOMEM].)^
+** As long as the input parameters are correct, these routines will only
+** fail if an out-of-memory error occurs during a format conversion.
+** Only the following subset of interfaces are subject to out-of-memory
+** errors:
+**
+** <ul>
+** <li> sqlite3_column_blob()
+** <li> sqlite3_column_text()
+** <li> sqlite3_column_text16()
+** <li> sqlite3_column_bytes()
+** <li> sqlite3_column_bytes16()
+** </ul>
+**
+** If an out-of-memory error occurs, then the return value from these
+** routines is the same as if the column had contained an SQL NULL value.
+** Valid SQL NULL returns can be distinguished from out-of-memory errors
+** by invoking the [sqlite3_errcode()] immediately after the suspect
+** return value is obtained and before any
+** other SQLite interface is called on the same [database connection].
 */
 const void *sqlite3_column_blob(sqlite3_stmt*, int iCol);
 double sqlite3_column_double(sqlite3_stmt*, int iCol);
@@ -4857,6 +4871,28 @@ SQLITE_DEPRECATED int sqlite3_memory_alarm(void(*)(void*,sqlite3_int64,int),
 **
 ** These routines must be called from the same thread as
 ** the SQL function that supplied the [sqlite3_value*] parameters.
+**
+** As long as the input parameter is correct, these routines can only
+** fail if an out-of-memory error occurs during a format conversion.
+** Only the following subset of interfaces are subject to out-of-memory
+** errors:
+**
+** <ul>
+** <li> sqlite3_value_blob()
+** <li> sqlite3_value_text()
+** <li> sqlite3_value_text16()
+** <li> sqlite3_value_text16le()
+** <li> sqlite3_value_text16be()
+** <li> sqlite3_value_bytes()
+** <li> sqlite3_value_bytes16()
+** </ul>
+**
+** If an out-of-memory error occurs, then the return value from these
+** routines is the same as if the column had contained an SQL NULL value.
+** Valid SQL NULL returns can be distinguished from out-of-memory errors
+** by invoking the [sqlite3_errcode()] immediately after the suspect
+** return value is obtained and before any
+** other SQLite interface is called on the same [database connection].
 */
 const void *sqlite3_value_blob(sqlite3_value*);
 double sqlite3_value_double(sqlite3_value*);

From 5174f1748585e6821609d77cc5b7e9417a12683f Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 12 Jun 2018 19:35:51 +0000
Subject: [PATCH 066/154] Documentation update: clarify that sqlite3_errcode()
 and related interfaces do not themselves modify the error code.

FossilOrigin-Name: 858fc52b237702b5e0381eebf5c158bffd7371ff0053a8583b8c175f8f691c82
---
 manifest        | 12 ++++++------
 manifest.uuid   |  2 +-
 src/sqlite.h.in | 15 +++++++++++++--
 3 files changed, 20 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index 86f566af13..f0f9b3da66 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Documentation\supdates:\sclarify\sthe\sbehavior\sof\ssqlite3_column\sand\nsqlite3_value\sinterfaces\sfollowing\san\sOOM\serror.
-D 2018-06-12T19:22:30.391
+C Documentation\supdate:\sclarify\sthat\ssqlite3_errcode()\sand\srelated\sinterfaces\ndo\snot\sthemselves\smodify\sthe\serror\scode.
+D 2018-06-12T19:35:51.264
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -497,7 +497,7 @@ F src/resolve.c 14602f46800ba182ea6a490e0f304127d29ac1f724bdadcc639e25d3223fcf6e
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 8d3176c5258cc83942815ebe75b4c1f8dcf62b5e0f4d37373a14ebf23c046f9f
 F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf9
-F src/sqlite.h.in fd614975549a6b5904de35af89fd2d55fe35b4c170d0b355980d7e5872a2d30d
+F src/sqlite.h.in 010a4df00a7bd39df8370c7201c4a703c90993459c1f3034502943f2a7756934
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
 F src/sqliteInt.h c8d304712b6b4e2150cbb5355b1a80427eee7b3ea1a6b5827afadf557360d7fe
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P b2973f2357a2c5e22e0d612c970adbc6d51cbc5e4ff7ac6d2b678722e553e8ec
-R 96ea65e1b8fd0c732cdc45dee2871747
+P 428c581e4bed1d140cfb670633c9c61b36be7bb30a862d2e1ae7eaee26dccb4f
+R 3a85648f90f541ed681102c766f78d61
 U drh
-Z 40fdbbb1f5ad70e2a7a00adf1e075458
+Z 6d709d086e0bb2aa350c2050a2d0ad34
diff --git a/manifest.uuid b/manifest.uuid
index 9bf43ac027..b575e1fa32 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-428c581e4bed1d140cfb670633c9c61b36be7bb30a862d2e1ae7eaee26dccb4f
\ No newline at end of file
+858fc52b237702b5e0381eebf5c158bffd7371ff0053a8583b8c175f8f691c82
\ No newline at end of file
diff --git a/src/sqlite.h.in b/src/sqlite.h.in
index ce27c99077..7869b9d75e 100644
--- a/src/sqlite.h.in
+++ b/src/sqlite.h.in
@@ -3354,13 +3354,24 @@ sqlite3_int64 sqlite3_uri_int64(const char*, const char*, sqlite3_int64);
 ** [database connection] D failed, then the sqlite3_errcode(D) interface
 ** returns the numeric [result code] or [extended result code] for that
 ** API call.
-** If the most recent API call was successful,
-** then the return value from sqlite3_errcode() is undefined.
 ** ^The sqlite3_extended_errcode()
 ** interface is the same except that it always returns the 
 ** [extended result code] even when extended result codes are
 ** disabled.
 **
+** The values returned by sqlite3_errcode() and/or
+** sqlite3_extended_errcode() might change with each API call.
+** Except, there are some interfaces that are guaranteed to never
+** change the value of the error code.  The error-code preserving
+** interfaces are:
+**
+** <ul>
+** <li> sqlite3_errcode()
+** <li> sqlite3_extended_errcode()
+** <li> sqlite3_errmsg()
+** <li> sqlite3_errmsg16()
+** </ul>
+**
 ** ^The sqlite3_errmsg() and sqlite3_errmsg16() return English-language
 ** text that describes the error, as either UTF-8 or UTF-16 respectively.
 ** ^(Memory to hold the error message string is managed internally.

From c0bb4459d35a30dee53be3ffdfc4ad2bd8659da4 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Tue, 12 Jun 2018 20:53:38 +0000
Subject: [PATCH 067/154] Fix another issue to do with window-functions in
 aggregate queries.

FossilOrigin-Name: 6413e38a174044c28fa9b8b937e6c972d144547a246e6f2882e782538300d042
---
 manifest          | 18 +++++-----
 manifest.uuid     |  2 +-
 src/btree.c       |  5 +++
 src/window.c      | 91 +++++++++++++++++++++++++++++++++++------------
 test/window4.tcl  |  8 +++++
 test/window4.test |  8 +++++
 6 files changed, 100 insertions(+), 32 deletions(-)

diff --git a/manifest b/manifest
index 7cc7cd4f7f..27851dacfd 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\ssome\sproblems\swith\susing\swindow-functions\sin\saggregate\squeries.
-D 2018-06-12T18:40:17.751
+C Fix\sanother\sissue\sto\sdo\swith\swindow-functions\sin\saggregate\squeries.
+D 2018-06-12T20:53:38.832
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -436,7 +436,7 @@ F src/auth.c a38f3c63c974787ecf75e3213f8cac6568b9a7af7591fb0372ec0517dd16dca8
 F src/backup.c 78d3cecfbe28230a3a9a1793e2ead609f469be43e8f486ca996006be551857ab
 F src/bitvec.c 17ea48eff8ba979f1f5b04cc484c7bb2be632f33
 F src/btmutex.c 8acc2f464ee76324bf13310df5692a262b801808984c1b79defb2503bbafadb6
-F src/btree.c 671207d68ac2fb32c782f9b65cd6f8a861757044b1448098cb08fab4fcf02947
+F src/btree.c 50425f7f26b10919bd14fa1af534b92c339bf7aac4b1ac8c70404f4e6f8220d8
 F src/btree.h 7b557914561f60a0eb76c2e22c23ab5b82f87b734a91c1b9385654b6474fdf7f
 F src/btreeInt.h 620ab4c7235f43572cf3ac2ac8723cbdf68073be4d29da24897c7b77dda5fd96
 F src/build.c 3b3bfa88800739e1f11313dcecfba5ef8e4757b6c929cdf7de9fcfc01002b81f
@@ -583,7 +583,7 @@ F src/where.c fe1a6f97c12cc9472ccce86166ba3f827cf61d6ae770c036a6396b63863baac4
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 6f022d6cc9daf56495f191b199352f783aff5cf268ba136b4d8cea3fb62d8c7d
-F src/window.c 5fc1e9a4367bdd6c5afd318a36ec0b1f702fa1e3384621501873ec6b3e94651a
+F src/window.c 45d149fe9926b7e9c610ef5234b6eef08f22cbdff855aa3f367b6af17499e90b
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1622,8 +1622,8 @@ F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fb
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
-F test/window4.tcl e64db87bac34d9a726f2b97c40f4adbfc21650a26b7015b18f357062266a0062
-F test/window4.test 36df9adf8b305b427fee8c9604a958e8fecb85c2ba21f6819ad3e87610253001
+F test/window4.tcl a77a7ab3c60517abe06307e4204d65d11f5474c8062f30f536755dd083bf8224
+F test/window4.test 0fb98450ff5478f91b4f8c9440d4463ded30a7337029da4272894ccff0f227e2
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 0cd55e98a478740032f5569ddc00fa5b0e063e90db6e00ac7598c9b7c2fffeee
-R a9e6944f8f988df57ad1f0cd1beda118
+P fe7081e0952950f577234fcbb58f3c1efa4579267654fd2f713dc4804e470e7e
+R 7cbc79b684a204310b1cd3eb56d614ea
 U dan
-Z e98e199ae454a383acf0272ef0289805
+Z 4b5b4b6d9afcbd2c7bfd885559718021
diff --git a/manifest.uuid b/manifest.uuid
index 1fb6535a25..5adea5b5a2 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-fe7081e0952950f577234fcbb58f3c1efa4579267654fd2f713dc4804e470e7e
\ No newline at end of file
+6413e38a174044c28fa9b8b937e6c972d144547a246e6f2882e782538300d042
\ No newline at end of file
diff --git a/src/btree.c b/src/btree.c
index 0e0d043104..35e13478b6 100644
--- a/src/btree.c
+++ b/src/btree.c
@@ -5185,6 +5185,11 @@ int sqlite3BtreeFirst(BtCursor *pCur, int *pRes){
   return rc;
 }
 
+/*
+** This function is a no-op if cursor pCur does not point to a valid row.
+** Otherwise, if pCur is valid, configure it so that the next call to
+** sqlite3BtreeNext() is a no-op.
+*/
 void sqlite3BtreeSkipNext(BtCursor *pCur){
   if( pCur->eState==CURSOR_VALID ){
     pCur->eState = CURSOR_SKIPNEXT;
diff --git a/src/window.c b/src/window.c
index 6d66fb82d7..de3b778226 100644
--- a/src/window.c
+++ b/src/window.c
@@ -129,6 +129,11 @@
 **     ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
 **
 **   See sqlite3WindowUpdate() for details.
+**
+**   As well as some of the built-in window functions, aggregate window
+**   functions min() and max() are implemented using VDBE instructions if
+**   the start of the window frame is declared as anything other than 
+**   UNBOUNDED PRECEDING.
 */
 
 /*
@@ -471,11 +476,28 @@ void sqlite3WindowFunctions(void){
   sqlite3InsertBuiltinFuncs(aWindowFuncs, ArraySize(aWindowFuncs));
 }
 
+/*
+** This function is called immediately after resolving the function name
+** for a window function within a SELECT statement. Argument pList is a
+** linked list of WINDOW definitions for the current SELECT statement.
+** Argument pFunc is the function definition just resolved and pWin
+** is the Window object representing the associated OVER clause. This
+** function updates the contents of pWin as follows:
+**
+**   * If the OVER clause refered to a named window (as in "max(x) OVER win"),
+**     search list pList for a matching WINDOW definition, and update pWin
+**     accordingly. If no such WINDOW clause can be found, leave an error
+**     in pParse.
+**
+**   * If the function is a built-in window function that requires the
+**     window to be coerced (see "BUILT-IN WINDOW FUNCTIONS" at the top
+**     of this file), pWin is updated here.
+*/
 void sqlite3WindowUpdate(
   Parse *pParse, 
-  Window *pList, 
-  Window *pWin, 
-  FuncDef *pFunc
+  Window *pList,                  /* List of named windows for this SELECT */
+  Window *pWin,                   /* Window frame to update */
+  FuncDef *pFunc                  /* Window function definition */
 ){
   if( pWin->zName ){
     Window *p;
@@ -523,16 +545,21 @@ void sqlite3WindowUpdate(
   pWin->pFunc = pFunc;
 }
 
+/*
+** Context object passed through sqlite3WalkExprList() to
+** selectWindowRewriteExprCb() by selectWindowRewriteEList().
+*/
 typedef struct WindowRewrite WindowRewrite;
 struct WindowRewrite {
   Window *pWin;
   ExprList *pSub;
 };
 
-static int selectWindowRewriteSelectCb(Walker *pWalker, Select *pSelect){
-  return WRC_Prune;
-}
-
+/*
+** Callback function used by selectWindowRewriteEList(). If necessary,
+** this function appends to the output expression-list and updates 
+** expression (*ppExpr) in place.
+*/
 static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
   struct WindowRewrite *p = pWalker->u.pRewrite;
   Parse *pParse = pWalker->pParse;
@@ -578,7 +605,24 @@ static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
 
   return WRC_Continue;
 }
+static int selectWindowRewriteSelectCb(Walker *pWalker, Select *pSelect){
+  return WRC_Prune;
+}
 
+
+/*
+** Iterate through each expression in expression-list pEList. For each:
+**
+**   * TK_COLUMN,
+**   * aggregate function, or
+**   * window function with a Window object that is not a member of the 
+**     linked list passed as the second argument (pWin)
+**
+** Append the node to output expression-list (*ppSub). And replace it
+** with a TK_COLUMN that reads the (N-1)th element of table 
+** pWin->iEphCsr, where N is the number of elements in (*ppSub) after
+** appending the new one.
+*/
 static int selectWindowRewriteEList(
   Parse *pParse, 
   Window *pWin,
@@ -606,6 +650,10 @@ static int selectWindowRewriteEList(
   return rc;
 }
 
+/*
+** Append a copy of each expression in expression-list pAppend to
+** expression list pList. Return a pointer to the result list.
+*/
 static ExprList *exprListAppendList(
   Parse *pParse,          /* Parsing context */
   ExprList *pList,        /* List to which to append. Might be NULL */
@@ -627,21 +675,8 @@ static ExprList *exprListAppendList(
 ** If the SELECT statement passed as the second argument does not invoke
 ** any SQL window functions, this function is a no-op. Otherwise, it 
 ** rewrites the SELECT statement so that window function xStep functions
-** are invoked in the correct order. The simplest version of the 
-** transformation is:
-**
-**   SELECT win(args...) OVER (<list1>) FROM <src> ORDER BY <list2>
-**
-** to
-**
-**   SELECT win(args...) FROM (
-**     SELECT args... FROM <src> ORDER BY <list1>
-**   ) ORDER BY <list2>
-**
-** where <src> may contain WHERE, GROUP BY and HAVING clauses, and <list1>
-** is the concatenation of the PARTITION BY and ORDER BY clauses in the
-** OVER clause.
-**
+** are invoked in the correct order as described under "SELECT REWRITING"
+** at the top of this file.
 */
 int sqlite3WindowRewrite(Parse *pParse, Select *p){
   int rc = SQLITE_OK;
@@ -726,6 +761,9 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
   return rc;
 }
 
+/*
+** Free the Window object passed as the second argument.
+*/
 void sqlite3WindowDelete(sqlite3 *db, Window *p){
   if( p ){
     sqlite3ExprDelete(db, p->pFilter);
@@ -738,6 +776,9 @@ void sqlite3WindowDelete(sqlite3 *db, Window *p){
   }
 }
 
+/*
+** Free the linked list of Window objects starting at the second argument.
+*/
 void sqlite3WindowListDelete(sqlite3 *db, Window *p){
   while( p ){
     Window *pNext = p->pNextWin;
@@ -746,6 +787,9 @@ void sqlite3WindowListDelete(sqlite3 *db, Window *p){
   }
 }
 
+/*
+** Allocate and return a new Window object.
+*/
 Window *sqlite3WindowAlloc(
   Parse *pParse, 
   int eType,
@@ -768,6 +812,9 @@ Window *sqlite3WindowAlloc(
   return pWin;
 }
 
+/*
+** Attach window object pWin to expression p.
+*/
 void sqlite3WindowAttach(Parse *pParse, Expr *p, Window *pWin){
   if( p ){
     p->pWin = pWin;
diff --git a/test/window4.tcl b/test/window4.tcl
index c0eb2b7abb..fcb6e61212 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -149,6 +149,14 @@ execsql_test 4.1 {
   SELECT max(c), max(b) OVER (ORDER BY b) FROM ttt GROUP BY b;
 }
 
+execsql_test 4.2 {
+  SELECT max(b) OVER (ORDER BY max(c)) FROM ttt GROUP BY b;
+}
+
+execsql_test 4.3 {
+  SELECT abs(max(b) OVER (ORDER BY b)) FROM ttt GROUP BY b;
+}
+
 
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index 307465e843..f29bce7525 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -231,4 +231,12 @@ do_execsql_test 4.1 {
   SELECT max(c), max(b) OVER (ORDER BY b) FROM ttt GROUP BY b;
 } {3 1   4 2   5 3}
 
+do_execsql_test 4.2 {
+  SELECT max(b) OVER (ORDER BY max(c)) FROM ttt GROUP BY b;
+} {1   2   3}
+
+do_execsql_test 4.3 {
+  SELECT abs(max(b) OVER (ORDER BY b)) FROM ttt GROUP BY b;
+} {1   2   3}
+
 finish_test

From ea74c1db6450d3a016f01d5c744addf671daf48f Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Wed, 13 Jun 2018 02:20:34 +0000
Subject: [PATCH 068/154] Add the unused SQLITE_CANTOPEN_DIRTYWAL result code. 
 This code was used in some historical versions on the apple-osx branch but
 was removed by check-in [27e20d699872b2b8].  Restore it so that old code that
 actually references that result code will still compile.

FossilOrigin-Name: 9f40383eed936a6921ef8dc94775eb55d03a761f36eda7be1b9cdd0a0d30fa80
---
 manifest        | 12 ++++++------
 manifest.uuid   |  2 +-
 src/sqlite.h.in |  1 +
 3 files changed, 8 insertions(+), 7 deletions(-)

diff --git a/manifest b/manifest
index f0f9b3da66..f89b5ce859 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Documentation\supdate:\sclarify\sthat\ssqlite3_errcode()\sand\srelated\sinterfaces\ndo\snot\sthemselves\smodify\sthe\serror\scode.
-D 2018-06-12T19:35:51.264
+C Add\sthe\sunused\sSQLITE_CANTOPEN_DIRTYWAL\sresult\scode.\s\sThis\scode\swas\sused\nin\ssome\shistorical\sversions\son\sthe\sapple-osx\sbranch\sbut\swas\sremoved\nby\scheck-in\s[27e20d699872b2b8].\s\sRestore\sit\sso\sthat\sold\scode\sthat\sactually\nreferences\sthat\sresult\scode\swill\sstill\scompile.
+D 2018-06-13T02:20:34.202
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -497,7 +497,7 @@ F src/resolve.c 14602f46800ba182ea6a490e0f304127d29ac1f724bdadcc639e25d3223fcf6e
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 8d3176c5258cc83942815ebe75b4c1f8dcf62b5e0f4d37373a14ebf23c046f9f
 F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf9
-F src/sqlite.h.in 010a4df00a7bd39df8370c7201c4a703c90993459c1f3034502943f2a7756934
+F src/sqlite.h.in 19de593baa0667854730e7b8bc2e3039c20ee80a4d537e9b5ec2038947fe3daf
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
 F src/sqliteInt.h c8d304712b6b4e2150cbb5355b1a80427eee7b3ea1a6b5827afadf557360d7fe
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 428c581e4bed1d140cfb670633c9c61b36be7bb30a862d2e1ae7eaee26dccb4f
-R 3a85648f90f541ed681102c766f78d61
+P 858fc52b237702b5e0381eebf5c158bffd7371ff0053a8583b8c175f8f691c82
+R 6ceedb097c0849604ae5e518ced6ab8b
 U drh
-Z 6d709d086e0bb2aa350c2050a2d0ad34
+Z cf184defe88fa33ab23b824c945dcab2
diff --git a/manifest.uuid b/manifest.uuid
index b575e1fa32..4f58cf42e5 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-858fc52b237702b5e0381eebf5c158bffd7371ff0053a8583b8c175f8f691c82
\ No newline at end of file
+9f40383eed936a6921ef8dc94775eb55d03a761f36eda7be1b9cdd0a0d30fa80
\ No newline at end of file
diff --git a/src/sqlite.h.in b/src/sqlite.h.in
index 7869b9d75e..7d664177e4 100644
--- a/src/sqlite.h.in
+++ b/src/sqlite.h.in
@@ -511,6 +511,7 @@ int sqlite3_exec(
 #define SQLITE_CANTOPEN_ISDIR          (SQLITE_CANTOPEN | (2<<8))
 #define SQLITE_CANTOPEN_FULLPATH       (SQLITE_CANTOPEN | (3<<8))
 #define SQLITE_CANTOPEN_CONVPATH       (SQLITE_CANTOPEN | (4<<8))
+#define SQLITE_CANTOPEN_DIRTYWAL       (SQLITE_CANTOPEN | (5<<8)) /* Not Used */
 #define SQLITE_CORRUPT_VTAB            (SQLITE_CORRUPT | (1<<8))
 #define SQLITE_CORRUPT_SEQUENCE        (SQLITE_CORRUPT | (2<<8))
 #define SQLITE_READONLY_RECOVERY       (SQLITE_READONLY | (1<<8))

From 466ea9b1e20d38b1893612707bc0470316c4e56c Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 13 Jun 2018 11:11:13 +0000
Subject: [PATCH 069/154] Check that malloc() has not already failed when
 invoking the xUpdate() method of a virtual table implementation. This fixes
 an assert() failure in FTS5 that could occur following an OOM condition.

FossilOrigin-Name: e9a7e4d58f3716991309ca0e3f080717e473c7c231685954aceee36172f19cf2
---
 manifest             | 16 ++++++++--------
 manifest.uuid        |  2 +-
 src/vdbe.c           |  1 +
 test/releasetest.tcl |  1 +
 4 files changed, 11 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index f89b5ce859..a23bb3a5a5 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\sthe\sunused\sSQLITE_CANTOPEN_DIRTYWAL\sresult\scode.\s\sThis\scode\swas\sused\nin\ssome\shistorical\sversions\son\sthe\sapple-osx\sbranch\sbut\swas\sremoved\nby\scheck-in\s[27e20d699872b2b8].\s\sRestore\sit\sso\sthat\sold\scode\sthat\sactually\nreferences\sthat\sresult\scode\swill\sstill\scompile.
-D 2018-06-13T02:20:34.202
+C Check\sthat\smalloc()\shas\snot\salready\sfailed\swhen\sinvoking\sthe\sxUpdate()\smethod\nof\sa\svirtual\stable\simplementation.\sThis\sfixes\san\sassert()\sfailure\sin\sFTS5\sthat\ncould\soccur\sfollowing\san\sOOM\scondition.
+D 2018-06-13T11:11:13.092
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -565,7 +565,7 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c 7509cbdad75624ed397e581210db27cb2c99882a40cd1c3c2948641220a14a48
+F src/vdbe.c f1bf4e51bcbea0f63174bee5da822d112970a547c06bf6cfb45f77fe6ebd6541
 F src/vdbe.h 9c8c245fa3785266c269ab02c135c836ff49a307612186686bcdae500f409945
 F src/vdbeInt.h 4531c172f8a51f90e3dcb8f49531ab64b17ad3aef85d19a6e8c925c2ddf59c66
 F src/vdbeapi.c af4a3de00d1851bcbc55b85dfbe52849aa2b1e17b4a5a1f3d9c257df7af361ff
@@ -1173,7 +1173,7 @@ F test/rdonly.test 64e2696c322e3538df0b1ed624e21f9a23ed9ff8
 F test/regexp1.test 497ea812f264d12b6198d6e50a76be4a1973a9d8
 F test/regexp2.test 40e894223b3d6672655481493f1be12012f2b33c
 F test/reindex.test 44edd3966b474468b823d481eafef0c305022254
-F test/releasetest.tcl 5f15ab8056799e9a6e26a310d49236d2e774d6a30d0ec74601e18d4ce146b79c x
+F test/releasetest.tcl 769892f81050b3f59c66f274d478d855159b474ea27019dec82f1215c0b91ef7 x
 F test/resetdb.test 2107b34a8c437183f48eb833905df43818160a55f4ac69bbaf54f356fb2b27bd
 F test/resolver01.test f4022acafda7f4d40eca94dbf16bc5fc4ac30ceb
 F test/rollback.test 06680159bc6746d0f26276e339e3ae2f951c64812468308838e0a3362d911eaa
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 858fc52b237702b5e0381eebf5c158bffd7371ff0053a8583b8c175f8f691c82
-R 6ceedb097c0849604ae5e518ced6ab8b
-U drh
-Z cf184defe88fa33ab23b824c945dcab2
+P 9f40383eed936a6921ef8dc94775eb55d03a761f36eda7be1b9cdd0a0d30fa80
+R 4bafe6447638b15993b3f38fe7f8476f
+U dan
+Z 8be96dc0a0ca0b6fd2e41a312298600e
diff --git a/manifest.uuid b/manifest.uuid
index 4f58cf42e5..e5613edab7 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-9f40383eed936a6921ef8dc94775eb55d03a761f36eda7be1b9cdd0a0d30fa80
\ No newline at end of file
+e9a7e4d58f3716991309ca0e3f080717e473c7c231685954aceee36172f19cf2
\ No newline at end of file
diff --git a/src/vdbe.c b/src/vdbe.c
index 6cdfadb563..823b034815 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -6999,6 +6999,7 @@ case OP_VUpdate: {
        || pOp->p5==OE_Abort || pOp->p5==OE_Ignore || pOp->p5==OE_Replace
   );
   assert( p->readOnly==0 );
+  if( db->mallocFailed ) goto no_mem;
   sqlite3VdbeIncrWriteCounter(p, 0);
   pVtab = pOp->p4.pVtab->pVtab;
   if( pVtab==0 || NEVER(pVtab->pModule==0) ){
diff --git a/test/releasetest.tcl b/test/releasetest.tcl
index 01a0795bfa..65f6dadad9 100755
--- a/test/releasetest.tcl
+++ b/test/releasetest.tcl
@@ -127,6 +127,7 @@ array set ::Configs [strip_comments {
     -DSQLITE_ENABLE_HIDDEN_COLUMNS
     -DSQLITE_MAX_ATTACHED=125
     -DSQLITE_MUTATION_TEST
+    --enable-fts5 --enable-json1
   }
   "Fast-One" {
     -O6

From 45f318275e32d40458a04ce7abe2220d891af744 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 13 Jun 2018 11:41:54 +0000
Subject: [PATCH 070/154] Unless SQLITE_OMIT_AUTOINIT is defined, allow
 sqlite3_vfs_unregister() to be called before sqlite3_initialize().

FossilOrigin-Name: ab6c1ae46d992f91ce0995274f48d545eb02ba92544aee89b188f2fc92b66f2a
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/os.c      |  7 +++++--
 3 files changed, 12 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index a23bb3a5a5..74ce18fc90 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Check\sthat\smalloc()\shas\snot\salready\sfailed\swhen\sinvoking\sthe\sxUpdate()\smethod\nof\sa\svirtual\stable\simplementation.\sThis\sfixes\san\sassert()\sfailure\sin\sFTS5\sthat\ncould\soccur\sfollowing\san\sOOM\scondition.
-D 2018-06-13T11:11:13.092
+C Unless\sSQLITE_OMIT_AUTOINIT\sis\sdefined,\sallow\ssqlite3_vfs_unregister()\sto\sbe\scalled\sbefore\ssqlite3_initialize().
+D 2018-06-13T11:41:54.985
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -475,7 +475,7 @@ F src/mutex_noop.c 9d4309c075ba9cc7249e19412d3d62f7f94839c4
 F src/mutex_unix.c aaf9ebc3f89df28483c52208497a99a02cc3650011422fc9d4c57e4392f7fe58
 F src/mutex_w32.c 7670d770c94bbfe8289bec9d7f1394c5a00a57c37f892aab6b6612d085255235
 F src/notify.c 9711a7575036f0d3040ba61bc6e217f13a9888e7
-F src/os.c 1cb0d1d1b3a4267966dee6e292d2b2cdf88e47c0c59cebff27ecafac052dd165
+F src/os.c 8aeb0b0f40f8f5b0da03fe49706695adaf42d2f516ab95abc72e86c245e119de
 F src/os.h 48388821692e87da174ea198bf96b1b2d9d83be5dfc908f673ee21fafbe0d432
 F src/os_common.h b2f4707a603e36811d9b1a13278bffd757857b85
 F src/os_setup.h 0dbaea40a7d36bf311613d31342e0b99e2536586
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 9f40383eed936a6921ef8dc94775eb55d03a761f36eda7be1b9cdd0a0d30fa80
-R 4bafe6447638b15993b3f38fe7f8476f
+P e9a7e4d58f3716991309ca0e3f080717e473c7c231685954aceee36172f19cf2
+R d7dfa92470fc9df634760f7f9970a415
 U dan
-Z 8be96dc0a0ca0b6fd2e41a312298600e
+Z 362a89dcaaa9c414c5f78831d4181046
diff --git a/manifest.uuid b/manifest.uuid
index e5613edab7..69bbb501ce 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-e9a7e4d58f3716991309ca0e3f080717e473c7c231685954aceee36172f19cf2
\ No newline at end of file
+ab6c1ae46d992f91ce0995274f48d545eb02ba92544aee89b188f2fc92b66f2a
\ No newline at end of file
diff --git a/src/os.c b/src/os.c
index 997f97121f..54b7fcfb29 100644
--- a/src/os.c
+++ b/src/os.c
@@ -410,9 +410,12 @@ int sqlite3_vfs_register(sqlite3_vfs *pVfs, int makeDflt){
 ** Unregister a VFS so that it is no longer accessible.
 */
 int sqlite3_vfs_unregister(sqlite3_vfs *pVfs){
-#if SQLITE_THREADSAFE
-  sqlite3_mutex *mutex = sqlite3MutexAlloc(SQLITE_MUTEX_STATIC_MASTER);
+  MUTEX_LOGIC(sqlite3_mutex *mutex;)
+#ifndef SQLITE_OMIT_AUTOINIT
+  int rc = sqlite3_initialize();
+  if( rc ) return rc;
 #endif
+  MUTEX_LOGIC( mutex = sqlite3MutexAlloc(SQLITE_MUTEX_STATIC_MASTER); )
   sqlite3_mutex_enter(mutex);
   vfsUnlink(pVfs);
   sqlite3_mutex_leave(mutex);

From c5861ce88f39182f9e5325b137c5b574cd68ca0f Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 13 Jun 2018 16:08:22 +0000
Subject: [PATCH 071/154] Fix some test case numbers in expert1.test.

FossilOrigin-Name: b90c3c16c04589583d2d1619320bb45a0b012c5960f23bd4e3f9dbe7c84b2eae
---
 ext/expert/expert1.test |  8 ++++----
 manifest                | 12 ++++++------
 manifest.uuid           |  2 +-
 3 files changed, 11 insertions(+), 11 deletions(-)

diff --git a/ext/expert/expert1.test b/ext/expert/expert1.test
index d1564c513f..2b4668340d 100644
--- a/ext/expert/expert1.test
+++ b/ext/expert/expert1.test
@@ -332,7 +332,7 @@ proc do_candidates_test {tn sql res} {
 
 
 reset_db
-do_execsql_test 3.0 {
+do_execsql_test 4.0 {
   CREATE TABLE t1(a, b);
   CREATE TABLE t2(c, d);
 
@@ -342,7 +342,7 @@ do_execsql_test 3.0 {
   WITH s(i) AS ( VALUES(1) UNION ALL SELECT i+1 FROM s WHERE i<100)
   INSERT INTO t2 SELECT (i-1)/20, (i-1)/5 FROM s;
 }
-do_candidates_test 3.1 {
+do_candidates_test 4.1 {
   SELECT * FROM t1,t2 WHERE (b=? OR a=?) AND (c=? OR d=?)
 } {
   CREATE INDEX t1_idx_00000062 ON t1(b); -- stat1: 100 20 
@@ -351,14 +351,14 @@ do_candidates_test 3.1 {
   CREATE INDEX t2_idx_00000064 ON t2(d); -- stat1: 100 5
 }
 
-do_candidates_test 3.2 {
+do_candidates_test 4.2 {
   SELECT * FROM t1,t2 WHERE a=? AND b=? AND c=? AND d=?
 } {
   CREATE INDEX t1_idx_000123a7 ON t1(a, b); -- stat1: 100 50 17
   CREATE INDEX t2_idx_0001295b ON t2(c, d); -- stat1: 100 20 5
 }
 
-do_execsql_test 3.2 {
+do_execsql_test 4.3 {
   CREATE INDEX t1_idx_00000061 ON t1(a); -- stat1: 100 50 
   CREATE INDEX t1_idx_00000062 ON t1(b); -- stat1: 100 20 
   CREATE INDEX t1_idx_000123a7 ON t1(a, b); -- stat1: 100 50 16
diff --git a/manifest b/manifest
index 74ce18fc90..34c451f54a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Unless\sSQLITE_OMIT_AUTOINIT\sis\sdefined,\sallow\ssqlite3_vfs_unregister()\sto\sbe\scalled\sbefore\ssqlite3_initialize().
-D 2018-06-13T11:41:54.985
+C Fix\ssome\stest\scase\snumbers\sin\sexpert1.test.
+D 2018-06-13T16:08:22.822
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -45,7 +45,7 @@ F ext/async/sqlite3async.c 0f3070cc3f5ede78f2b9361fb3b629ce200d7d74
 F ext/async/sqlite3async.h f489b080af7e72aec0e1ee6f1d98ab6cf2e4dcef
 F ext/expert/README.md b321c2762bb93c18ea102d5a5f7753a4b8bac646cb392b3b437f633caf2020c3
 F ext/expert/expert.c d548d603a4cc9e61f446cc179c120c6713511c413f82a4a32b1e1e69d3f086a4
-F ext/expert/expert1.test baa05800dc1c569faa7ce6232cead0fcedc07fea038b3a2489eaaf710831d546
+F ext/expert/expert1.test 333d037021c901322f9afc4a5687648ea23d56f1a0a079358a390664babf01be
 F ext/expert/sqlite3expert.c 89b7b59be610b929958db02416539a46ac088fd84f81623c4190aff62e92c3c4
 F ext/expert/sqlite3expert.h af6354f8ee5c9e025024e63fec3bd640a802afcc3099a44d804752cf0791d811
 F ext/expert/test_expert.c d56c194b769bdc90cf829a14c9ecbc1edca9c850b837a4d0b13be14095c32a72
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P e9a7e4d58f3716991309ca0e3f080717e473c7c231685954aceee36172f19cf2
-R d7dfa92470fc9df634760f7f9970a415
+P ab6c1ae46d992f91ce0995274f48d545eb02ba92544aee89b188f2fc92b66f2a
+R 85658149b94ca61c586faa481cd99372
 U dan
-Z 362a89dcaaa9c414c5f78831d4181046
+Z 64438bc2ecaee7ab6a78fcd985e0d141
diff --git a/manifest.uuid b/manifest.uuid
index 69bbb501ce..383f264d9d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-ab6c1ae46d992f91ce0995274f48d545eb02ba92544aee89b188f2fc92b66f2a
\ No newline at end of file
+b90c3c16c04589583d2d1619320bb45a0b012c5960f23bd4e3f9dbe7c84b2eae
\ No newline at end of file

From 4449437b56f1000339628bff41dee0a38dfc865d Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Wed, 13 Jun 2018 16:52:38 +0000
Subject: [PATCH 072/154] Pad out the sqlite3_value structure to be a multiple
 of 8 bytes.

FossilOrigin-Name: f76dc33bde4b2180b935d1261492d9535772ed37e54489c1a33e9f11c7c90433
---
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 src/vdbeInt.h |  1 +
 3 files changed, 9 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 34c451f54a..004045a518 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\ssome\stest\scase\snumbers\sin\sexpert1.test.
-D 2018-06-13T16:08:22.822
+C Pad\sout\sthe\ssqlite3_value\sstructure\sto\sbe\sa\smultiple\sof\s8\sbytes.
+D 2018-06-13T16:52:38.060
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -567,7 +567,7 @@ F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
 F src/vdbe.c f1bf4e51bcbea0f63174bee5da822d112970a547c06bf6cfb45f77fe6ebd6541
 F src/vdbe.h 9c8c245fa3785266c269ab02c135c836ff49a307612186686bcdae500f409945
-F src/vdbeInt.h 4531c172f8a51f90e3dcb8f49531ab64b17ad3aef85d19a6e8c925c2ddf59c66
+F src/vdbeInt.h 5d6f9294e91b59cb961be2d31aacf7a2e76d18f4ad1277134c69bddf98c60510
 F src/vdbeapi.c af4a3de00d1851bcbc55b85dfbe52849aa2b1e17b4a5a1f3d9c257df7af361ff
 F src/vdbeaux.c c2d65c763b0811afe409e02e9d0d1f300c6e97892474fc94eec3da71955cd418
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P ab6c1ae46d992f91ce0995274f48d545eb02ba92544aee89b188f2fc92b66f2a
-R 85658149b94ca61c586faa481cd99372
-U dan
-Z 64438bc2ecaee7ab6a78fcd985e0d141
+P b90c3c16c04589583d2d1619320bb45a0b012c5960f23bd4e3f9dbe7c84b2eae
+R 26221cffdd1bdfa4d4238fbd0becde05
+U drh
+Z 89bccdbe64906d0697d05ec9703d5907
diff --git a/manifest.uuid b/manifest.uuid
index 383f264d9d..272693a03d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-b90c3c16c04589583d2d1619320bb45a0b012c5960f23bd4e3f9dbe7c84b2eae
\ No newline at end of file
+f76dc33bde4b2180b935d1261492d9535772ed37e54489c1a33e9f11c7c90433
\ No newline at end of file
diff --git a/src/vdbeInt.h b/src/vdbeInt.h
index 7bc56c0e39..0b568098aa 100644
--- a/src/vdbeInt.h
+++ b/src/vdbeInt.h
@@ -213,6 +213,7 @@ struct sqlite3_value {
 #endif
 #ifdef SQLITE_DEBUG_COLUMNCACHE
   u32 iTabColHash;    /* Hash of table.column that is origin of this value */
+  u32 iPadding;       /* sqlite3_value objects must be 8-byte aligned */
 #endif
 };
 

From 2f1f8801ed7d3708de6fc4d669bc1aef43b3f524 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Wed, 13 Jun 2018 17:19:20 +0000
Subject: [PATCH 073/154] Output infinity as 1e999 in the ".dump" command of
 the command-line shell.

FossilOrigin-Name: ee431d55eba618cfba414c3946b3162bc205a70dd4e43d74a7623be332b94c92
---
 ext/misc/dbdump.c | 10 +++++++++-
 manifest          | 14 +++++++-------
 manifest.uuid     |  2 +-
 src/shell.c.in    | 12 ++++++++++--
 4 files changed, 27 insertions(+), 11 deletions(-)

diff --git a/ext/misc/dbdump.c b/ext/misc/dbdump.c
index 2ca34a1128..0b4b4bfafa 100644
--- a/ext/misc/dbdump.c
+++ b/ext/misc/dbdump.c
@@ -485,7 +485,15 @@ static int dump_callback(void *pArg, int nArg, char **azArg, char **azCol){
             }
             case SQLITE_FLOAT: {
               double r = sqlite3_column_double(pStmt,i);
-              output_formatted(p, "%!.20g", r);
+              sqlite3_uint64 ur;
+              memcpy(&ur,&r,sizeof(r));
+              if( ur==0x7ff0000000000000LL ){
+                p->xCallback("1e999", p->pArg);
+              }else if( ur==0xfff0000000000000LL ){
+                p->xCallback("-1e999", p->pArg);
+              }else{
+                output_formatted(p, "%!.20g", r);
+              }
               break;
             }
             case SQLITE_NULL: {
diff --git a/manifest b/manifest
index 004045a518..c3e1711383 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Pad\sout\sthe\ssqlite3_value\sstructure\sto\sbe\sa\smultiple\sof\s8\sbytes.
-D 2018-06-13T16:52:38.060
+C Output\sinfinity\sas\s1e999\sin\sthe\s".dump"\scommand\sof\sthe\scommand-line\sshell.
+D 2018-06-13T17:19:20.239
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -276,7 +276,7 @@ F ext/misc/closure.c fe928228e8dfb2f00227311c203ccba9c2e5561f4f6de6da87e5b4a30cd
 F ext/misc/completion.c e75b8886a2531f9a7ec02dab5f179bb37e6bd46b5da7665a6cbf2dfbe2daa483
 F ext/misc/compress.c dd4f8a6d0baccff3c694757db5b430f3bbd821d8686d1fc24df55cf9f035b189
 F ext/misc/csv.c 65297bcce8d5acd5aadef42acbe739aef5a2ef5e74c7b73361ca19f3e21de657
-F ext/misc/dbdump.c 69ef1be5b210538f77dfcc6fcb55b4b5f5e98b1e0bcfd67d818711e10761db4d
+F ext/misc/dbdump.c 12389a10c410fadf1e68eeb382def92d5a7fa9ce7cce4fb86a736fa2bac1000a
 F ext/misc/eval.c 6ea9b22a5fa0dd973b67ca4e53555be177bc0b7b263aadf1024429457c82c0e3
 F ext/misc/fileio.c 48c7751c78fc4cdd29d8c862fd2f3f98bbfefa2a3cf1ca1496df4bf02eb8cded
 F ext/misc/fuzzer.c 7c64b8197bb77b7d64eff7cac7848870235d4c25
@@ -496,7 +496,7 @@ F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 14602f46800ba182ea6a490e0f304127d29ac1f724bdadcc639e25d3223fcf6e
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 8d3176c5258cc83942815ebe75b4c1f8dcf62b5e0f4d37373a14ebf23c046f9f
-F src/shell.c.in 4d0ddf10c403710d241bf920163dcf032c21119aebb61e70840942c0eafecdf9
+F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
 F src/sqlite.h.in 19de593baa0667854730e7b8bc2e3039c20ee80a4d537e9b5ec2038947fe3daf
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P b90c3c16c04589583d2d1619320bb45a0b012c5960f23bd4e3f9dbe7c84b2eae
-R 26221cffdd1bdfa4d4238fbd0becde05
+P f76dc33bde4b2180b935d1261492d9535772ed37e54489c1a33e9f11c7c90433
+R cf377e6954b0f56a42545b5a437be0b1
 U drh
-Z 89bccdbe64906d0697d05ec9703d5907
+Z e707adfe00192f8b9a5f1cf3f642b5c6
diff --git a/manifest.uuid b/manifest.uuid
index 272693a03d..6ac44a56c4 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-f76dc33bde4b2180b935d1261492d9535772ed37e54489c1a33e9f11c7c90433
\ No newline at end of file
+ee431d55eba618cfba414c3946b3162bc205a70dd4e43d74a7623be332b94c92
\ No newline at end of file
diff --git a/src/shell.c.in b/src/shell.c.in
index 392580733f..38a8991b9d 100644
--- a/src/shell.c.in
+++ b/src/shell.c.in
@@ -2033,8 +2033,16 @@ static int shell_callback(
         }else if( aiType && aiType[i]==SQLITE_FLOAT ){
           char z[50];
           double r = sqlite3_column_double(p->pStmt, i);
-          sqlite3_snprintf(50,z,"%!.20g", r);
-          raw_printf(p->out, "%s", z);
+          sqlite3_uint64 ur;
+          memcpy(&ur,&r,sizeof(r));
+          if( ur==0x7ff0000000000000LL ){
+            raw_printf(p->out, "1e999");
+          }else if( ur==0xfff0000000000000LL ){
+            raw_printf(p->out, "-1e999");
+          }else{
+            sqlite3_snprintf(50,z,"%!.20g", r);
+            raw_printf(p->out, "%s", z);
+          }
         }else if( aiType && aiType[i]==SQLITE_BLOB && p->pStmt ){
           const void *pBlob = sqlite3_column_blob(p->pStmt, i);
           int nBlob = sqlite3_column_bytes(p->pStmt, i);

From 13078caac4b3f656a839b35512114c4844d2f58f Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 13 Jun 2018 20:29:38 +0000
Subject: [PATCH 074/154] Fix problems with "RANGE BETWEEN CURRENT ROW AND
 UNBOUNDED FOLLOWING" window frames.

FossilOrigin-Name: c34f31dbd79891249ee9485e91f6ea558ee1db62e04fb0fff2c051612b8fa5e7
---
 manifest          |  16 +--
 manifest.uuid     |   2 +-
 src/window.c      | 273 +++++++++++++++++++++++++++-------------------
 test/window4.tcl  |   6 +
 test/window4.test |   6 +
 5 files changed, 180 insertions(+), 123 deletions(-)

diff --git a/manifest b/manifest
index 27851dacfd..dadf035fa0 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sanother\sissue\sto\sdo\swith\swindow-functions\sin\saggregate\squeries.
-D 2018-06-12T20:53:38.832
+C Fix\sproblems\swith\s"RANGE\sBETWEEN\sCURRENT\sROW\sAND\sUNBOUNDED\sFOLLOWING"\swindow\nframes.
+D 2018-06-13T20:29:38.362
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -583,7 +583,7 @@ F src/where.c fe1a6f97c12cc9472ccce86166ba3f827cf61d6ae770c036a6396b63863baac4
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 6f022d6cc9daf56495f191b199352f783aff5cf268ba136b4d8cea3fb62d8c7d
-F src/window.c 45d149fe9926b7e9c610ef5234b6eef08f22cbdff855aa3f367b6af17499e90b
+F src/window.c 4a26ff629a2207fbb766b64eec5de56a642db2ee1a58ca7f3d9bf7241ca2265d
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1622,8 +1622,8 @@ F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fb
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
-F test/window4.tcl a77a7ab3c60517abe06307e4204d65d11f5474c8062f30f536755dd083bf8224
-F test/window4.test 0fb98450ff5478f91b4f8c9440d4463ded30a7337029da4272894ccff0f227e2
+F test/window4.tcl 09167855f695ef94312da965532bc13f8027411de8ce442664fa74949f9df011
+F test/window4.test eb0cf5740de803a4a9373b2c30b73986a4fb1662149260ccf05458abba312ba5
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P fe7081e0952950f577234fcbb58f3c1efa4579267654fd2f713dc4804e470e7e
-R 7cbc79b684a204310b1cd3eb56d614ea
+P 6413e38a174044c28fa9b8b937e6c972d144547a246e6f2882e782538300d042
+R 30609a9614da284dabc36852804237fe
 U dan
-Z 4b5b4b6d9afcbd2c7bfd885559718021
+Z 71b05cd13cd6b1243eec19b7dd0b41c2
diff --git a/manifest.uuid b/manifest.uuid
index 5adea5b5a2..8d9afc357c 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-6413e38a174044c28fa9b8b937e6c972d144547a246e6f2882e782538300d042
\ No newline at end of file
+c34f31dbd79891249ee9485e91f6ea558ee1db62e04fb0fff2c051612b8fa5e7
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index de3b778226..395d6733be 100644
--- a/src/window.c
+++ b/src/window.c
@@ -826,6 +826,7 @@ void sqlite3WindowAttach(Parse *pParse, Expr *p, Window *pWin){
 
 /*
 ** Return 0 if the two window objects are identical, or non-zero otherwise.
+** Identical window objects can be processed in a single scan.
 */
 int sqlite3WindowCompare(Parse *pParse, Window *p1, Window *p2){
   if( p1->eType!=p2->eType ) return 1;
@@ -838,10 +839,24 @@ int sqlite3WindowCompare(Parse *pParse, Window *p1, Window *p2){
   return 0;
 }
 
-static void windowAggInit(Parse *pParse, Window *pMWin){
+
+/*
+** This is called by code in select.c before it calls sqlite3WhereBegin()
+** to begin iterating through the sub-query results. It is used to allocate
+** and initialize registers and cursors used by sqlite3WindowCodeStep().
+*/
+void sqlite3WindowCodeInit(Parse *pParse, Window *pMWin){
   Window *pWin;
+  Vdbe *v = sqlite3GetVdbe(pParse);
+  int nPart = (pMWin->pPartition ? pMWin->pPartition->nExpr : 0);
+  nPart += (pMWin->pOrderBy ? pMWin->pOrderBy->nExpr : 0);
+  if( nPart ){
+    pMWin->regPart = pParse->nMem+1;
+    pParse->nMem += nPart;
+    sqlite3VdbeAddOp3(v, OP_Null, 0, pMWin->regPart, pMWin->regPart+nPart-1);
+  }
+
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    Vdbe *v = sqlite3GetVdbe(pParse);
     FuncDef *p = pWin->pFunc;
     if( (p->funcFlags & SQLITE_FUNC_MINMAX) && pWin->eStart!=TK_UNBOUNDED ){
       ExprList *pList = pWin->pOwner->x.pList;
@@ -874,33 +889,31 @@ static void windowAggInit(Parse *pParse, Window *pMWin){
   }
 }
 
-void sqlite3WindowCodeInit(Parse *pParse, Window *pWin){
-  Vdbe *v = sqlite3GetVdbe(pParse);
-  int nPart = (pWin->pPartition ? pWin->pPartition->nExpr : 0);
-  nPart += (pWin->pOrderBy ? pWin->pOrderBy->nExpr : 0);
-  if( nPart ){
-    pWin->regPart = pParse->nMem+1;
-    pParse->nMem += nPart;
-    sqlite3VdbeAddOp3(v, OP_Null, 0, pWin->regPart, pWin->regPart+nPart-1);
-  }
-  windowAggInit(pParse, pWin);
-}
-
+/*
+** A "PRECEDING <expr>" (bEnd==0) or "FOLLOWING <expr>" (bEnd==1) has just 
+** been evaluated and the result left in register reg. This function generates
+** VM code to check that the value is a non-negative integer and throws
+** an exception if it is not.
+*/
 static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
   static const char *azErr[] = {
     "frame starting offset must be a non-negative integer",
     "frame ending offset must be a non-negative integer"
   };
   Vdbe *v = sqlite3GetVdbe(pParse);
-  int regZero = ++pParse->nMem;
-
+  int regZero = sqlite3GetTempReg(pParse);
   sqlite3VdbeAddOp2(v, OP_Integer, 0, regZero);
   sqlite3VdbeAddOp2(v, OP_MustBeInt, reg, sqlite3VdbeCurrentAddr(v)+2);
   sqlite3VdbeAddOp3(v, OP_Ge, regZero, sqlite3VdbeCurrentAddr(v)+2, reg);
   sqlite3VdbeAddOp2(v, OP_Halt, SQLITE_ERROR, OE_Abort);
   sqlite3VdbeAppendP4(v, (void*)azErr[bEnd], P4_STATIC);
+  sqlite3ReleaseTempReg(pParse, regZero);
 }
 
+/*
+** Return the number of arguments passed to the window-function associated
+** with the object passed as the only argument to this function.
+*/
 static int windowArgCount(Window *pWin){
   ExprList *pList = pWin->pOwner->x.pList;
   return (pList ? pList->nExpr : 0);
@@ -909,14 +922,28 @@ static int windowArgCount(Window *pWin){
 /*
 ** Generate VM code to invoke either xStep() (if bInverse is 0) or 
 ** xInverse (if bInverse is non-zero) for each window function in the 
-** linked list starting at pMWin.
+** linked list starting at pMWin. Or, for built-in window functions
+** that do not use the standard function API, generate the required
+** inline VM code.
+**
+** If argument csr is greater than or equal to 0, then argument reg is
+** the first register in an array of registers guaranteed to be large
+** enough to hold the array of arguments for each function. In this case
+** the arguments are extracted from the current row of csr into the
+** array of registers before invoking OP_AggStep.
+**
+** Or, if csr is less than zero, then the array of registers at reg is
+** already populated with all columns from the current row of the sub-query.
+**
+** If argument regPartSize is non-zero, then it is a register containing the
+** number of rows in the current partition.
 */
 static void windowAggStep(
   Parse *pParse, 
-  Window *pMWin, 
-  int csr,
-  int bInverse, 
-  int reg,
+  Window *pMWin,                  /* Linked list of window functions */
+  int csr,                        /* Read arguments from this cursor */
+  int bInverse,                   /* True to invoke xInverse instead of xStep */
+  int reg,                        /* Array of registers */
   int regPartSize                 /* Register containing size of partition */
 ){
   Vdbe *v = sqlite3GetVdbe(pParse);
@@ -997,6 +1024,12 @@ static void windowAggStep(
   }
 }
 
+/*
+** Generate VM code to invoke either xValue() (bFinal==0) or xFinalize()
+** (bFinal==1) for each window function in the linked list starting at
+** pMWin. Or, for built-in window-functions that do not use the standard
+** API, generate the equivalent VM code.
+*/
 static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
   Vdbe *v = sqlite3GetVdbe(pParse);
   Window *pWin;
@@ -1029,13 +1062,18 @@ static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
   }
 }
 
+/*
+** This function generates VM code to invoke the sub-routine at address
+** lblFlushPart once for each partition with the entire partition cached in
+** the Window.iEphCsr temp table.
+*/
 static void windowPartitionCache(
   Parse *pParse,
-  Select *p,
-  WhereInfo *pWInfo,
-  int regFlushPart,
-  int lblFlushPart,
-  int *pRegSize
+  Select *p,                      /* The rewritten SELECT statement */
+  WhereInfo *pWInfo,              /* WhereInfo to call WhereEnd() on */
+  int regFlushPart,               /* Register to use with Gosub lblFlushPart */
+  int lblFlushPart,               /* Subroutine to Gosub to */
+  int *pRegSize                   /* OUT: Register containing partition size */
 ){
   Window *pMWin = p->pWin;
   Vdbe *v = sqlite3GetVdbe(pParse);
@@ -1085,6 +1123,19 @@ static void windowPartitionCache(
   sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
 }
 
+/*
+** Invoke the sub-routine at regGosub (generated by code in select.c) to
+** return the current row of Window.iEphCsr. If all window functions are
+** aggregate window functions that use the standard API, a single
+** OP_Gosub instruction is all that this routine generates. Extra VM code
+** for per-row processing is only generated for the following built-in window
+** functions:
+**
+**   nth_value()
+**   first_value()
+**   lag()
+**   lead()
+*/
 static void windowReturnOneRow(
   Parse *pParse,
   Window *pMWin,
@@ -1148,15 +1199,29 @@ static void windowReturnOneRow(
   sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
 }
 
+/*
+** Invoke the code generated by windowReturnOneRow() and, optionally, the
+** xInverse() function for each window function, for one or more rows
+** from the Window.iEphCsr temp table. This routine generates VM code
+** similar to:
+**
+**   while( regCtr>0 ){
+**     regCtr--;
+**     windowReturnOneRow()
+**     if( bInverse ){
+**       AggStep (xInverse)
+**     }
+**     Next (Window.iEphCsr)
+**   }
+*/
 static void windowReturnRows(
   Parse *pParse,
-  Window *pMWin,
-  int regCtr,
-  int bFinal,
-  int regGosub,
-  int addrGosub,
-  int regInvArg,
-  int regInvSize
+  Window *pMWin,                  /* List of window functions */
+  int regCtr,                     /* Register containing number of rows */
+  int regGosub,                   /* Register for Gosub addrGosub */
+  int addrGosub,                  /* Address of sub-routine for ReturnOneRow */
+  int regInvArg,                  /* Array of registers for xInverse args */
+  int regInvSize                  /* Register containing size of partition */
 ){
   int addr;
   Vdbe *v = sqlite3GetVdbe(pParse);
@@ -1349,7 +1414,6 @@ static void windowCodeRowExprStep(
   int regPeerVal = 0;              /* Array of values identifying peer group */
   int iPeer = 0;                   /* Column offset in eph-table of peer vals */
   int nPeerVal;                    /* Number of peer values */
-  int bRange = 0;
   int regSize = 0;
 
   assert( pMWin->eStart==TK_PRECEDING 
@@ -1363,13 +1427,6 @@ static void windowCodeRowExprStep(
        || pMWin->eEnd==TK_PRECEDING 
   );
 
-  if( pMWin->eType==TK_RANGE 
-   && pMWin->eStart==TK_CURRENT 
-   && pMWin->eEnd==TK_UNBOUNDED
-  ){
-    bRange = 1;
-  }
-
   /* Allocate register and label for the "flush_partition" sub-routine. */
   regFlushPart = ++pParse->nMem;
   lblFlushPart = sqlite3VdbeMakeLabel(v);
@@ -1457,38 +1514,10 @@ static void windowCodeRowExprStep(
   if( pMWin->eStart==TK_FOLLOWING ){
     addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
   }
-  if( bRange ){
-    assert( pMWin->eStart==TK_CURRENT && pMWin->pOrderBy );
-    regPeer = ++pParse->nMem;
-    regPeerVal = pParse->nMem+1;
-    iPeer = pMWin->nBufferCol + (pMWin->pPartition?pMWin->pPartition->nExpr:0);
-    nPeerVal = pMWin->pOrderBy->nExpr;
-    pParse->nMem += (2 * nPeerVal);
-    for(k=0; k<nPeerVal; k++){
-      sqlite3VdbeAddOp3(v, OP_Column, pMWin->iEphCsr, iPeer+k, regPeerVal+k);
-    }
-    sqlite3VdbeAddOp2(v, OP_Integer, 0, regPeer);
-  }
-
   windowAggFinal(pParse, pMWin, 0);
-  if( bRange ){
-    sqlite3VdbeAddOp2(v, OP_AddImm, regPeer, 1);
-  }
   windowReturnOneRow(pParse, pMWin, regGosub, addrGosub);
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)+2);
   sqlite3VdbeAddOp2(v, OP_Goto, 0, lblFlushDone);
-  if( bRange ){
-    KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pMWin->pOrderBy,0,0);
-    int addrJump = sqlite3VdbeCurrentAddr(v)-4;
-    for(k=0; k<nPeerVal; k++){
-      int iOut = regPeerVal + nPeerVal + k;
-      sqlite3VdbeAddOp3(v, OP_Column, pMWin->iEphCsr, iPeer+k, iOut);
-    }
-    sqlite3VdbeAddOp3(v, OP_Compare, regPeerVal, regPeerVal+nPeerVal, nPeerVal);
-    sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
-    addr = sqlite3VdbeCurrentAddr(v)+1;
-    sqlite3VdbeAddOp3(v, OP_Jump, addr, addrJump, addr);
-  }
   if( pMWin->eStart==TK_FOLLOWING ){
     sqlite3VdbeJumpHere(v, addrIfPos2);
   }
@@ -1501,15 +1530,8 @@ static void windowCodeRowExprStep(
     if( pMWin->eStart==TK_PRECEDING ){
       addrJumpHere = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
     }
-    if( bRange ){
-      sqlite3VdbeAddOp3(v, OP_IfPos, regPeer, sqlite3VdbeCurrentAddr(v)+2, 1);
-      addrJumpHere = sqlite3VdbeAddOp0(v, OP_Goto);
-    }
     sqlite3VdbeAddOp2(v, OP_Next, csrStart, sqlite3VdbeCurrentAddr(v)+1);
     windowAggStep(pParse, pMWin, csrStart, 1, regArg, regSize);
-    if( bRange ){
-      sqlite3VdbeAddOp2(v, OP_Goto, 0, addrJumpHere-1);
-    }
     if( addrJumpHere ){
       sqlite3VdbeJumpHere(v, addrJumpHere);
     }
@@ -1561,8 +1583,6 @@ static void windowCodeRowExprStep(
 ** ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
 ** RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
 ** RANGE BETWEEN CURRENT ROW AND CURRENT ROW 
-**
-**   TODO.
 */
 static void windowCodeCacheStep(
   Parse *pParse, 
@@ -1582,7 +1602,7 @@ static void windowCodeCacheStep(
   int regNewPeer;
 
   int addrGoto;                   /* Address of Goto used to jump flush_par.. */
-  int addrRewind;                 /* Address of Rewind that starts loop */
+  int addrNext;                   /* Jump here for next iteration of loop */
   int regFlushPart;
   int lblFlushPart;
   int csrLead;
@@ -1590,12 +1610,17 @@ static void windowCodeCacheStep(
   int regArg;                     /* Register array to martial function args */
   int regSize;
   int nArg;
+  int bReverse;
+  int lblEmpty;
 
   assert( (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_CURRENT) 
        || (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_UNBOUNDED) 
        || (pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_CURRENT) 
+       || (pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_UNBOUNDED) 
   );
 
+  lblEmpty = sqlite3VdbeMakeLabel(v);
+  bReverse = (pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_UNBOUNDED);
   regNewPeer = pParse->nMem+1;
   pParse->nMem += nPeer;
 
@@ -1618,11 +1643,19 @@ static void windowCodeCacheStep(
   regArg = windowInitAccum(pParse, pMWin);
 
   sqlite3VdbeAddOp2(v, OP_Integer, 0, regCtr);
-  addrRewind = sqlite3VdbeAddOp1(v, OP_Rewind, csrLead);
-  sqlite3VdbeAddOp1(v, OP_Rewind, pMWin->iEphCsr);
+  sqlite3VdbeAddOp2(v, OP_Rewind, csrLead, lblEmpty);
+  sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr, lblEmpty);
 
-  if( pOrderBy && pMWin->eEnd==TK_CURRENT ){
-    int bCurrent = (pMWin->eEnd==TK_CURRENT && pMWin->eStart==TK_CURRENT);
+  if( bReverse ){
+    int addr = sqlite3VdbeCurrentAddr(v);
+    windowAggStep(pParse, pMWin, csrLead, 0, regArg, regSize);
+    sqlite3VdbeAddOp2(v, OP_Next, csrLead, addr);
+    sqlite3VdbeAddOp2(v, OP_Rewind, csrLead, lblEmpty);
+  }
+  addrNext = sqlite3VdbeCurrentAddr(v);
+
+  if( pOrderBy && (pMWin->eEnd==TK_CURRENT || pMWin->eStart==TK_CURRENT) ){
+    int bCurrent = (pMWin->eStart==TK_CURRENT);
     int addrJump = 0;             /* Address of OP_Jump below */
     if( pMWin->eType==TK_RANGE ){
       int iOff = pMWin->nBufferCol + (pPart ? pPart->nExpr : 0);
@@ -1637,20 +1670,21 @@ static void windowCodeCacheStep(
       sqlite3VdbeAddOp3(v, OP_Copy, regNewPeer, regPeer, nPeer-1);
     }
 
-    windowReturnRows(pParse, pMWin, regCtr, 0, regGosub, addrGosub, 
+    windowReturnRows(pParse, pMWin, regCtr, regGosub, addrGosub, 
         (bCurrent ? regArg : 0), (bCurrent ? regSize : 0)
     );
     if( addrJump ) sqlite3VdbeJumpHere(v, addrJump);
   }
 
-  windowAggStep(pParse, pMWin, csrLead, 0, regArg, regSize);
+  if( bReverse==0 ){
+    windowAggStep(pParse, pMWin, csrLead, 0, regArg, regSize);
+  }
   sqlite3VdbeAddOp2(v, OP_AddImm, regCtr, 1);
-  sqlite3VdbeAddOp2(v, OP_Next, csrLead, addrRewind+2);
+  sqlite3VdbeAddOp2(v, OP_Next, csrLead, addrNext);
 
-  windowReturnRows(pParse, pMWin, regCtr, 1, regGosub, addrGosub, 0, 0);
+  windowReturnRows(pParse, pMWin, regCtr, regGosub, addrGosub, 0, 0);
 
-  sqlite3VdbeJumpHere(v, addrRewind);
-  sqlite3VdbeJumpHere(v, addrRewind+1);
+  sqlite3VdbeResolveLabel(v, lblEmpty);
   sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
   sqlite3VdbeAddOp1(v, OP_Return, regFlushPart);
 
@@ -1805,6 +1839,11 @@ static void windowCodeDefaultStep(
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)-1);
 }
 
+/*
+** Allocate and return a duplicate of the Window object indicated by the
+** third argument. Set the Window.pOwner field of the new object to
+** pOwner.
+*/
 Window *sqlite3WindowDup(sqlite3 *db, Expr *pOwner, Window *p){
   Window *pNew = 0;
   if( p ){
@@ -1839,40 +1878,46 @@ void sqlite3WindowCodeStep(
   int addrGosub                   /* OP_Gosub here to return each row */
 ){
   Window *pMWin = p->pWin;
-  Window *pWin;
+  ExprList *pOrderBy = pMWin->pOrderBy;
 
-  /* Call windowCodeRowExprStep() for all window modes *except*:
+  /* Call windowCodeRowExprStep() for all "ROWS" window modes except:
   **
-  **   RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
-  **   RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
-  **   RANGE BETWEEN CURRENT ROW AND CURRENT ROW
-  **   ROWS  BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  **   ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
   */
   if( (pMWin->eType==TK_ROWS 
-   && (pMWin->eStart!=TK_UNBOUNDED||pMWin->eEnd!=TK_CURRENT||!pMWin->pOrderBy))
-   || (pMWin->eStart==TK_CURRENT&&pMWin->eEnd==TK_UNBOUNDED&&pMWin->pOrderBy)
+   && (pMWin->eStart!=TK_UNBOUNDED || pMWin->eEnd!=TK_CURRENT || !pOrderBy))
   ){
     windowCodeRowExprStep(pParse, p, pWInfo, regGosub, addrGosub);
-    return;
-  }
+  }else{
+    Window *pWin;
+    int bCache = 0;
 
-  /* Call windowCodeCacheStep() if there is a window function that requires
-  ** that the entire partition be cached in a temp table before any rows
-  ** are returned.  */
-  for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
-    FuncDef *pFunc = pWin->pFunc;
-    if( (pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE)
-     || (pFunc->xSFunc==nth_valueStepFunc)
-     || (pFunc->xSFunc==first_valueStepFunc)
-     || (pFunc->xSFunc==leadStepFunc)
-     || (pFunc->xSFunc==lagStepFunc)
-    ){
+    if( pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_UNBOUNDED && pOrderBy ){
+      bCache = 1;
+    }else{
+      /* Call windowCodeCacheStep() if there is a window function that requires
+      ** that the entire partition be cached in a temp table before any rows
+      ** are returned.  */
+      for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+        FuncDef *pFunc = pWin->pFunc;
+        if( (pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE)
+            || (pFunc->xSFunc==nth_valueStepFunc)
+            || (pFunc->xSFunc==first_valueStepFunc)
+            || (pFunc->xSFunc==leadStepFunc)
+            || (pFunc->xSFunc==lagStepFunc)
+          ){
+          bCache = 1;
+          break;
+        }
+      }
+    }
+
+    /* Otherwise, call windowCodeDefaultStep().  */
+    if( bCache ){
       windowCodeCacheStep(pParse, p, pWInfo, regGosub, addrGosub);
-      return;
+    }else{
+      windowCodeDefaultStep(pParse, p, pWInfo, regGosub, addrGosub);
     }
   }
-
-  /* Otherwise, call windowCodeDefaultStep().  */
-  windowCodeDefaultStep(pParse, p, pWInfo, regGosub, addrGosub);
 }
 
diff --git a/test/window4.tcl b/test/window4.tcl
index fcb6e61212..5c7466e75d 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -157,6 +157,12 @@ execsql_test 4.3 {
   SELECT abs(max(b) OVER (ORDER BY b)) FROM ttt GROUP BY b;
 }
 
+execsql_test 4.4 {
+  SELECT sum(b) OVER (
+    ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM ttt;
+}
+
 
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index f29bce7525..20b8a114b0 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -239,4 +239,10 @@ do_execsql_test 4.3 {
   SELECT abs(max(b) OVER (ORDER BY b)) FROM ttt GROUP BY b;
 } {1   2   3}
 
+do_execsql_test 4.4 {
+  SELECT sum(b) OVER (
+    ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) FROM ttt;
+} {18   17   15   12   11   9   6   5   3}
+
 finish_test

From 54a9ab3f131cf1b309b60d74ecfa2a0cc960321a Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 14 Jun 2018 14:27:05 +0000
Subject: [PATCH 075/154] Improve comments and code legibility in new file
 window.c.

FossilOrigin-Name: bb915854d435bdd78f141d70e23527e97922ec176acd3ed8060c78dffc96bab8
---
 manifest      |  12 ++---
 manifest.uuid |   2 +-
 src/window.c  | 146 +++++++++++++++++++++++++++++++++++++++++---------
 3 files changed, 127 insertions(+), 33 deletions(-)

diff --git a/manifest b/manifest
index dadf035fa0..9c3a7a405a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sproblems\swith\s"RANGE\sBETWEEN\sCURRENT\sROW\sAND\sUNBOUNDED\sFOLLOWING"\swindow\nframes.
-D 2018-06-13T20:29:38.362
+C Improve\scomments\sand\scode\slegibility\sin\snew\sfile\swindow.c.
+D 2018-06-14T14:27:05.155
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -583,7 +583,7 @@ F src/where.c fe1a6f97c12cc9472ccce86166ba3f827cf61d6ae770c036a6396b63863baac4
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 6f022d6cc9daf56495f191b199352f783aff5cf268ba136b4d8cea3fb62d8c7d
-F src/window.c 4a26ff629a2207fbb766b64eec5de56a642db2ee1a58ca7f3d9bf7241ca2265d
+F src/window.c 0a6b366a3301c68172fcdbebd5b9ddf0466cdc6533ff92ad859b4acd06aaa29b
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 6413e38a174044c28fa9b8b937e6c972d144547a246e6f2882e782538300d042
-R 30609a9614da284dabc36852804237fe
+P c34f31dbd79891249ee9485e91f6ea558ee1db62e04fb0fff2c051612b8fa5e7
+R 250d0aa9c508f0b3712323b0e393b7d6
 U dan
-Z 71b05cd13cd6b1243eec19b7dd0b41c2
+Z 8f2ba813d9d3711cc22cf41096ce6e24
diff --git a/manifest.uuid b/manifest.uuid
index 8d9afc357c..594644608c 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-c34f31dbd79891249ee9485e91f6ea558ee1db62e04fb0fff2c051612b8fa5e7
\ No newline at end of file
+bb915854d435bdd78f141d70e23527e97922ec176acd3ed8060c78dffc96bab8
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 395d6733be..459d05e29e 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1236,6 +1236,12 @@ static void windowReturnRows(
   sqlite3VdbeJumpHere(v, addr+1);   /* The OP_Goto */
 }
 
+/*
+** Generate code to set the accumulator register for each window function
+** in the linked list passed as the second argument to NULL. And perform
+** any equivalent initialization required by any built-in window functions
+** in the list.
+*/
 static int windowInitAccum(Parse *pParse, Window *pMWin){
   Vdbe *v = sqlite3GetVdbe(pParse);
   int regArg;
@@ -1258,15 +1264,11 @@ static int windowInitAccum(Parse *pParse, Window *pMWin){
 
 
 /*
+** This function does the work of sqlite3WindowCodeStep() for all "ROWS"
+** window frame types except for "BETWEEN UNBOUNDED PRECEDING AND CURRENT
+** ROW". Pseudo-code for each follows.
+**
 ** ROWS BETWEEN <expr1> PRECEDING AND <expr2> FOLLOWING
-** ----------------------------------------------------
-**
-** Pseudo-code for the implementation of this window frame type is as
-** follows. sqlite3WhereBegin() has already been called to generate the
-** top of the main loop when this function is called.
-**
-** Each time the sub-routine at addrGosub is invoked, a single output
-** row is generated based on the current row indicated by Window.iEphCsr.
 **
 **     ...
 **       if( new partition ){
@@ -1551,6 +1553,16 @@ static void windowCodeRowExprStep(
 }
 
 /*
+** This function does the work of sqlite3WindowCodeStep() for cases that
+** would normally be handled by windowCodeDefaultStep() when there are
+** one or more built-in window-functions that require the entire partition
+** to be cached in a temp table before any rows can be returned. Additionally.
+** "RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING" is always handled by
+** this function.
+**
+** Pseudo-code corresponding to the VM code generated by this function
+** for each type of window follows.
+**
 ** RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
 **
 **   flush_partition:
@@ -1581,8 +1593,64 @@ static void windowCodeRowExprStep(
 **     Return
 **
 ** ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
-** RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+**
+**   As above, except that the "if( new peer )" branch is always taken.
+**
 ** RANGE BETWEEN CURRENT ROW AND CURRENT ROW 
+**
+**   As above, except that each of the for() loops becomes:
+**
+**         for(i=0; i<ctr; i++){
+**           Gosub addrGosub
+**           AggStep (xInverse, iEphCsr)
+**           Next iEphCsr
+**         }
+**
+** RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+**
+**   flush_partition:
+**     Once {
+**       OpenDup (iEphCsr -> csrLead)
+**     }
+**     foreach row (csrLead) {
+**       AggStep (csrLead)
+**     }
+**     foreach row (iEphCsr) {
+**       Gosub addrGosub
+**     }
+** 
+** RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+**
+**   flush_partition:
+**     Once {
+**       OpenDup (iEphCsr -> csrLead)
+**     }
+**     foreach row (csrLead){
+**       AggStep (csrLead)
+**     }
+**     Rewind (csrLead)
+**     Integer ctr 0
+**     foreach row (csrLead){
+**       if( new peer ){
+**         AggFinal (xValue)
+**         for(i=0; i<ctr; i++){
+**           Gosub addrGosub
+**           AggStep (xInverse, iEphCsr)
+**           Next iEphCsr
+**         }
+**         Integer ctr 0
+**       }
+**       Incr ctr
+**     }
+**
+**     AggFinal (xFinalize)
+**     for(i=0; i<ctr; i++){
+**       Gosub addrGosub
+**       Next iEphCsr
+**     }
+**
+**     ResetSorter (csr)
+**     Return
 */
 static void windowCodeCacheStep(
   Parse *pParse, 
@@ -1598,7 +1666,7 @@ static void windowCodeCacheStep(
   int addr;
   ExprList *pPart = pMWin->pPartition;
   ExprList *pOrderBy = pMWin->pOrderBy;
-  int nPeer = pOrderBy->nExpr;
+  int nPeer = pOrderBy ? pOrderBy->nExpr : 0;
   int regNewPeer;
 
   int addrGoto;                   /* Address of Goto used to jump flush_par.. */
@@ -1610,8 +1678,9 @@ static void windowCodeCacheStep(
   int regArg;                     /* Register array to martial function args */
   int regSize;
   int nArg;
-  int bReverse;
   int lblEmpty;
+  int bReverse = pMWin->pOrderBy && pMWin->eStart==TK_CURRENT 
+          && pMWin->eEnd==TK_UNBOUNDED;
 
   assert( (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_CURRENT) 
        || (pMWin->eStart==TK_UNBOUNDED && pMWin->eEnd==TK_UNBOUNDED) 
@@ -1620,7 +1689,6 @@ static void windowCodeCacheStep(
   );
 
   lblEmpty = sqlite3VdbeMakeLabel(v);
-  bReverse = (pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_UNBOUNDED);
   regNewPeer = pParse->nMem+1;
   pParse->nMem += nPeer;
 
@@ -1878,34 +1946,60 @@ void sqlite3WindowCodeStep(
   int addrGosub                   /* OP_Gosub here to return each row */
 ){
   Window *pMWin = p->pWin;
-  ExprList *pOrderBy = pMWin->pOrderBy;
 
-  /* Call windowCodeRowExprStep() for all "ROWS" window modes except:
+  /* There are three different functions that may be used to do the work
+  ** of this one, depending on the window frame and the specific built-in
+  ** window functions used (if any).
+  **
+  ** windowCodeRowExprStep() handles all "ROWS" window frames, except for:
   **
   **   ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  **
+  ** The exception is because windowCodeRowExprStep() implements all window
+  ** frame types by caching the entire partition in a temp table, and
+  ** "ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW" is easy enough to
+  ** implement without such a cache.
+  **
+  ** windowCodeCacheStep() is used for:
+  **
+  **   RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  **
+  ** It is also used for anything not handled by windowCodeRowExprStep() 
+  ** that invokes a built-in window function that requires the entire 
+  ** partition to be cached in a temp table before any rows are returned
+  ** (e.g. nth_value() or percent_rank()).
+  **
+  ** Finally, assuming there is no built-in window function that requires
+  ** the partition to be cached, windowCodeDefaultStep() is used for:
+  **
+  **   RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW 
+  **   RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+  **   RANGE BETWEEN CURRENT ROW AND CURRENT ROW 
+  **   ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW
+  **
+  ** windowCodeDefaultStep() is the only one of the three functions that
+  ** does not cache each partition in a temp table before beginning to
+  ** return rows.
   */
-  if( (pMWin->eType==TK_ROWS 
-   && (pMWin->eStart!=TK_UNBOUNDED || pMWin->eEnd!=TK_CURRENT || !pOrderBy))
+  if( pMWin->eType==TK_ROWS 
+   && (pMWin->eStart!=TK_UNBOUNDED||pMWin->eEnd!=TK_CURRENT||!pMWin->pOrderBy)
   ){
     windowCodeRowExprStep(pParse, p, pWInfo, regGosub, addrGosub);
   }else{
     Window *pWin;
-    int bCache = 0;
+    int bCache = 0;               /* True to use CacheStep() */
 
-    if( pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_UNBOUNDED && pOrderBy ){
+    if( pMWin->eStart==TK_CURRENT && pMWin->eEnd==TK_UNBOUNDED ){
       bCache = 1;
     }else{
-      /* Call windowCodeCacheStep() if there is a window function that requires
-      ** that the entire partition be cached in a temp table before any rows
-      ** are returned.  */
       for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
         FuncDef *pFunc = pWin->pFunc;
         if( (pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE)
-            || (pFunc->xSFunc==nth_valueStepFunc)
-            || (pFunc->xSFunc==first_valueStepFunc)
-            || (pFunc->xSFunc==leadStepFunc)
-            || (pFunc->xSFunc==lagStepFunc)
-          ){
+         || (pFunc->xSFunc==nth_valueStepFunc)
+         || (pFunc->xSFunc==first_valueStepFunc)
+         || (pFunc->xSFunc==leadStepFunc)
+         || (pFunc->xSFunc==lagStepFunc)
+        ){
           bCache = 1;
           break;
         }

From 9a94722d489becb6b9023b0119a55995cc998de6 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 14 Jun 2018 19:06:36 +0000
Subject: [PATCH 076/154] Fix problem with window functions min() and max()
 when used with a PARTITION clause and a frame starting point other than
 "UNBOUNDED PRECEDING".

FossilOrigin-Name: 43eb1e75a4d7ac0973ed8589bbaf379c24cdc8eacc4e613610d2d4c24d385dc1
---
 manifest               |  30 +-
 manifest.uuid          |   2 +-
 src/attach.c           |   4 +-
 src/select.c           |  18 +-
 src/sqliteInt.h        |   8 +-
 src/vdbe.c             |  32 +-
 src/vdbemem.c          |   9 +
 src/window.c           |  18 +-
 test/permutations.test |   6 +
 test/window1.test      |   4 +
 test/window4.tcl       |  54 ++-
 test/window4.test      | 770 +++++++++++++++++++++++++++++++++++++++++
 12 files changed, 916 insertions(+), 39 deletions(-)

diff --git a/manifest b/manifest
index f68fad8115..fa813d09b4 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\slatest\strunk\schanges\sinto\sthis\sbranch.
-D 2018-06-14T14:30:51.987
+C Fix\sproblem\swith\swindow\sfunctions\smin()\sand\smax()\swhen\sused\swith\sa\sPARTITION\nclause\sand\sa\sframe\sstarting\spoint\sother\sthan\s"UNBOUNDED\sPRECEDING".
+D 2018-06-14T19:06:36.904
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -431,7 +431,7 @@ F sqlite3.1 fc7ad8990fc8409983309bb80de8c811a7506786
 F sqlite3.pc.in 48fed132e7cb71ab676105d2a4dc77127d8c1f3a
 F src/alter.c 819b14b58e71565f8da505a9c1d5d9d904605f85cd64179cf9c7d1edcdad6c25
 F src/analyze.c 41f0b8d638fc2a7309477904ac38e535f2aabea3256da3251e529730e099df77
-F src/attach.c 3af6abc40733d10014b401c89a4e8ecfa7c3855517c62004461875220a3af453
+F src/attach.c 4bd5b92633671d3e8ce431153ebb1893b50335818423b5373f3f27969f79769a
 F src/auth.c a38f3c63c974787ecf75e3213f8cac6568b9a7af7591fb0372ec0517dd16dca8
 F src/backup.c 78d3cecfbe28230a3a9a1793e2ead609f469be43e8f486ca996006be551857ab
 F src/bitvec.c 17ea48eff8ba979f1f5b04cc484c7bb2be632f33
@@ -495,12 +495,12 @@ F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c a8cf3d6144f6a821f002dad72f80659691e827a96e6da6dedf8b263edefe3a80
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 224312eb28c1170117c8cef29abc8f6a420b2a60df26543df75632b731ecac8d
+F src/select.c 7e8e439bf8bf732860566ccceebd57d934bf1aceca213c394d825dde60473f8e
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
 F src/sqlite.h.in 19de593baa0667854730e7b8bc2e3039c20ee80a4d537e9b5ec2038947fe3daf
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h f6c6b3b9690c6e3cb35b482deb4873dddb16fc127d97ce99b103ba5793b78640
+F src/sqliteInt.h 97525ef265cfca3cf39c87b73dd1e39f9260ee2f25fb0cee64bbbe26eb9f3888
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -565,13 +565,13 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c f68624da05fefc48eb663c3ceaba4fd9a999b8f9a15b957312e42ceb687a3622
+F src/vdbe.c 55bc870dcab52f7eac5a84d84e13e68122308997975d066f450a42c24d80df32
 F src/vdbe.h 9c8c245fa3785266c269ab02c135c836ff49a307612186686bcdae500f409945
 F src/vdbeInt.h d99f1c3da17b4ed271efc2f52898dd9a577dee077da47c2a014bc128f3cdba2a
 F src/vdbeapi.c af4a3de00d1851bcbc55b85dfbe52849aa2b1e17b4a5a1f3d9c257df7af361ff
 F src/vdbeaux.c c2d65c763b0811afe409e02e9d0d1f300c6e97892474fc94eec3da71955cd418
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
-F src/vdbemem.c 7301d5c4f98069aead603c9a5b28e0a8dd793b1c57570d67e45aab6b87bf5fec
+F src/vdbemem.c b8f3bb3bed82774ee352fa3405c83de2fc3e528638adfd3d15fa9a0da5c03d07
 F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2f
 F src/vdbetrace.c 79d6dbbc479267b255a7de8080eee6e729928a0ef93ed9b0bfa5618875b48392
 F src/vtab.c 10ea07dec111de6fb0a4fc87a7ffa4c65fdc088a19dbfaf7d6f2b128f2e8eb7b
@@ -583,7 +583,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c 0a6b366a3301c68172fcdbebd5b9ddf0466cdc6533ff92ad859b4acd06aaa29b
+F src/window.c 3fc03f5ac20516d218933bc9eaf37863a511d9b9fffb3e37a9409e7a25efca99
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1149,7 +1149,7 @@ F test/parser1.test 391b9bf9a229547a129c61ac345ed1a6f5eb1854
 F test/pcache.test c8acbedd3b6fd0f9a7ca887a83b11d24a007972b
 F test/pcache2.test af7f3deb1a819f77a6d0d81534e97d1cf62cd442
 F test/percentile.test 4243af26b8f3f4555abe166f723715a1f74c77ff
-F test/permutations.test 10793f1de89a226fa22dde9ba9398de22571fee1bfb53a935a11be4aa014704f
+F test/permutations.test 5c2167e03dc55ff697e11bb3abf10c66ba452e4afb2dbd85a2b144048355300e
 F test/pg_common.tcl b50727fe1ee3369d0421eadea2c2fd247bfb9d89a8e06ececf2f6866de17abd8
 F test/pragma.test 7c8cfc328a1717a95663cf8edb06c52ddfeaf97bb0aee69ae7457132e8d39e7d
 F test/pragma2.test e5d5c176360c321344249354c0c16aec46214c9f
@@ -1617,13 +1617,13 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 94c626fe8d9eced3e3d5ef0a2106209904daba77d549aafde09eba1db8e98c3e
+F test/window1.test 68607fd4cfa24f5cdd6029a63a2a7c062042ff5787fa054aa5c0b006154fe183
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
-F test/window4.tcl 09167855f695ef94312da965532bc13f8027411de8ce442664fa74949f9df011
-F test/window4.test eb0cf5740de803a4a9373b2c30b73986a4fb1662149260ccf05458abba312ba5
+F test/window4.tcl 3388b29669144bccd012bf5e237d165cf8eff2a310c26cc43a70279775f2fb01
+F test/window4.test f14ecc20c004a2a0d5fd8530266ea4255e3c0a55681bce1fea24af04ea82005f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P bb915854d435bdd78f141d70e23527e97922ec176acd3ed8060c78dffc96bab8 ee431d55eba618cfba414c3946b3162bc205a70dd4e43d74a7623be332b94c92
-R 1cc4d33069ce5c96e4421646ef097697
+P 5cf5f1808a51f9c2cfc98dd49b4f1ce860b53e935287f89868ce2fdbace8eb06
+R ef2b7f57cdc1146bf754373b3823f53c
 U dan
-Z c65e558489cd4a1cde706d8fb1c8cdef
+Z e015141b8a297bc169625a565b97966a
diff --git a/manifest.uuid b/manifest.uuid
index 7b50e2ba90..fe46aaa166 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-5cf5f1808a51f9c2cfc98dd49b4f1ce860b53e935287f89868ce2fdbace8eb06
\ No newline at end of file
+43eb1e75a4d7ac0973ed8589bbaf379c24cdc8eacc4e613610d2d4c24d385dc1
\ No newline at end of file
diff --git a/src/attach.c b/src/attach.c
index 1f276156b8..42ae536942 100644
--- a/src/attach.c
+++ b/src/attach.c
@@ -414,7 +414,7 @@ void sqlite3Detach(Parse *pParse, Expr *pDbname){
     0,                /* pNext */
     detachFunc,       /* xSFunc */
     0,                /* xFinalize */
-    0, 0,
+    0, 0,             /* xValue, xInverse */
     "sqlite_detach",  /* zName */
     {0}
   };
@@ -434,7 +434,7 @@ void sqlite3Attach(Parse *pParse, Expr *p, Expr *pDbname, Expr *pKey){
     0,                /* pNext */
     attachFunc,       /* xSFunc */
     0,                /* xFinalize */
-    0, 0,
+    0, 0,             /* xValue, xInverse */
     "sqlite_attach",  /* zName */
     {0}
   };
diff --git a/src/select.c b/src/select.c
index c90a978d1a..a3a85503b5 100644
--- a/src/select.c
+++ b/src/select.c
@@ -3673,6 +3673,10 @@ static void substSelect(
 **        "SELECT x FROM (SELECT max(y), x FROM t1)" would not necessarily
 **        return the value X for which Y was maximal.)
 **
+**  (25)  If either the subquery or the parent query contains a window
+**        function in the select list or ORDER BY clause, flattening
+**        is not attempted.
+**
 **
 ** In this routine, the "p" parameter is a pointer to the outer query.
 ** The subquery is p->pSrc->a[iFrom].  isAgg is true if the outer query
@@ -3716,7 +3720,7 @@ static int flattenSubquery(
   pSub = pSubitem->pSelect;
   assert( pSub!=0 );
 
-  if( p->pWin || pSub->pWin ) return 0;
+  if( p->pWin || pSub->pWin ) return 0;                  /* Restriction (25) */
 
   pSubSrc = pSub->pSrc;
   assert( pSubSrc );
@@ -4587,12 +4591,20 @@ static void selectPopWith(Walker *pWalker, Select *p){
 #define selectPopWith 0
 #endif
 
+/*
+** The SrcList_item structure passed as the second argument represents a
+** sub-query in the FROM clause of a SELECT statement. This function
+** allocates and populates the SrcList_item.pTab object. If successful,
+** SQLITE_OK is returned. Otherwise, if an OOM error is encountered,
+** SQLITE_NOMEM.
+*/
 int sqlite3ExpandSubquery(Parse *pParse, struct SrcList_item *pFrom){
   Select *pSel = pFrom->pSelect;
   Table *pTab;
 
+  assert( pSel );
   pFrom->pTab = pTab = sqlite3DbMallocZero(pParse->db, sizeof(Table));
-  if( pTab==0 ) return WRC_Abort;
+  if( pTab==0 ) return SQLITE_NOMEM;
   pTab->nTabRef = 1;
   if( pFrom->zAlias ){
     pTab->zName = sqlite3DbStrDup(pParse->db, pFrom->zAlias);
@@ -4605,7 +4617,7 @@ int sqlite3ExpandSubquery(Parse *pParse, struct SrcList_item *pFrom){
   pTab->nRowLogEst = 200; assert( 200==sqlite3LogEst(1048576) );
   pTab->tabFlags |= TF_Ephemeral;
 
-  return WRC_Continue;
+  return SQLITE_OK;
 }
 
 /*
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index e63cc46890..ce84441a13 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -1685,7 +1685,7 @@ struct FuncDestructor {
 #define SQLITE_FUNC_AFFINITY 0x4000 /* Built-in affinity() function */
 #define SQLITE_FUNC_OFFSET   0x8000 /* Built-in sqlite_offset() function */
 #define SQLITE_FUNC_WINDOW  0x10000 /* Built-in window-only function */
-#define SQLITE_FUNC_WINDOW_SIZE  0x20000
+#define SQLITE_FUNC_WINDOW_SIZE  0x20000  /* Requires partition size as arg. */
 
 /*
 ** The following three macros, FUNCTION(), LIKEFUNC() and AGGREGATE() are
@@ -3485,6 +3485,10 @@ struct TreeView {
 };
 #endif /* SQLITE_DEBUG */
 
+/*
+** Object used to encode the OVER() clause attached to a window-function
+** invocation. And some fields used while generating VM code for the same.
+*/
 struct Window {
   char *zName;            /* Name of window (may be NULL) */
   ExprList *pPartition;   /* PARTITION BY clause */
@@ -3524,6 +3528,7 @@ int sqlite3WindowRewrite(Parse*, Select*);
 int sqlite3ExpandSubquery(Parse*, struct SrcList_item*);
 void sqlite3WindowUpdate(Parse*, Window*, Window*, FuncDef*);
 Window *sqlite3WindowDup(sqlite3 *db, Expr *pOwner, Window *p);
+void sqlite3WindowFunctions(void);
 
 /*
 ** Assuming zIn points to the first byte of a UTF-8 character,
@@ -4198,7 +4203,6 @@ extern sqlite3_uint64 sqlite3NProfileCnt;
 void sqlite3RootPageMoved(sqlite3*, int, int, int);
 void sqlite3Reindex(Parse*, Token*, Token*);
 void sqlite3AlterFunctions(void);
-void sqlite3WindowFunctions(void);
 void sqlite3AlterRenameTable(Parse*, SrcList*, Token*);
 int sqlite3GetToken(const unsigned char *, int *);
 void sqlite3NestedParse(Parse*, const char*, ...);
diff --git a/src/vdbe.c b/src/vdbe.c
index b3f5ffbafd..e2db54dc13 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -5082,7 +5082,7 @@ case OP_Sort: {        /* jump */
   p->aCounter[SQLITE_STMTSTATUS_SORT]++;
   /* Fall through into OP_Rewind */
 }
-/* Opcode: Rewind P1 P2 * * *
+/* Opcode: Rewind P1 P2 * * P5
 **
 ** The next use of the Rowid or Column or Next instruction for P1 
 ** will refer to the first entry in the database table or index.
@@ -5090,6 +5090,10 @@ case OP_Sort: {        /* jump */
 ** If the table or index is not empty, fall through to the following 
 ** instruction.
 **
+** If P5 is non-zero and the table is not empty, then the "skip-next"
+** flag is set on the cursor so that the next OP_Next instruction 
+** executed on it is a no-op.
+**
 ** This opcode leaves the cursor configured to move in forward order,
 ** from the beginning toward the end.  In other words, the cursor is
 ** configured to use Next, not Prev.
@@ -6282,24 +6286,24 @@ case OP_DecrJumpZero: {      /* jump, in1 */
 }
 
 
-/* Opcode: AggStep0 * P2 P3 P4 P5
+/* Opcode: AggStep0 P1 P2 P3 P4 P5
 ** Synopsis: accum=r[P3] step(r[P2@P5])
 **
-** Execute the step function for an aggregate.  The
-** function has P5 arguments.   P4 is a pointer to the FuncDef
-** structure that specifies the function.  Register P3 is the
+** Execute the xStep (if P1==0) or xInverse (if P1!=0) function for an
+** aggregate.  The function has P5 arguments.  P4 is a pointer to the 
+** FuncDef structure that specifies the function.  Register P3 is the
 ** accumulator.
 **
 ** The P5 arguments are taken from register P2 and its
 ** successors.
 */
-/* Opcode: AggStep * P2 P3 P4 P5
+/* Opcode: AggStep P1 P2 P3 P4 P5
 ** Synopsis: accum=r[P3] step(r[P2@P5])
 **
-** Execute the step function for an aggregate.  The
-** function has P5 arguments.   P4 is a pointer to an sqlite3_context
-** object that is used to run the function.  Register P3 is
-** as the accumulator.
+** Execute the xStep (if P1==0) or xInverse (if P1!=0) function for an
+** aggregate.  The function has P5 arguments.  P4 is a pointer to the 
+** FuncDef structure that specifies the function.  Register P3 is the
+** accumulator.
 **
 ** The P5 arguments are taken from register P2 and its
 ** successors.
@@ -6388,11 +6392,13 @@ case OP_AggStep: {
   break;
 }
 
-/* Opcode: AggFinal P1 P2 * P4 *
+/* Opcode: AggFinal P1 P2 P3 P4 *
 ** Synopsis: accum=r[P1] N=P2
 **
-** Execute the finalizer function for an aggregate.  P1 is
-** the memory location that is the accumulator for the aggregate.
+** P1 is the memory location that is the accumulator for an aggregate
+** or window function. If P3 is zero, then execute the finalizer function 
+** for an aggregate and store the result in P1. Or, if P3 is non-zero,
+** invoke the xValue() function and store the result in register P3.
 **
 ** P2 is the number of arguments that the step function takes and
 ** P4 is a pointer to the FuncDef for this function.  The P2
diff --git a/src/vdbemem.c b/src/vdbemem.c
index b89396d0b7..6e0f8d6e07 100644
--- a/src/vdbemem.c
+++ b/src/vdbemem.c
@@ -415,6 +415,14 @@ int sqlite3VdbeMemFinalize(Mem *pMem, FuncDef *pFunc){
   return ctx.isError;
 }
 
+/*
+** Memory cell pAccum contains the context of an aggregate function.
+** This routine calls the xValue method for that function and stores
+** the results in memory cell pMem.
+**
+** SQLITE_ERROR is returned if xValue() reports an error. SQLITE_OK 
+** otherwise.
+*/
 int sqlite3VdbeMemAggValue(Mem *pAccum, Mem *pOut, FuncDef *pFunc){
   sqlite3_context ctx;
   Mem t;
@@ -432,6 +440,7 @@ int sqlite3VdbeMemAggValue(Mem *pAccum, Mem *pOut, FuncDef *pFunc){
   pFunc->xValue(&ctx);
   return ctx.isError;
 }
+
 /*
 ** If the memory cell contains a value that must be freed by
 ** invoking the external callback in Mem.xDel, then this routine
diff --git a/src/window.c b/src/window.c
index 459d05e29e..0ec6bd34f8 100644
--- a/src/window.c
+++ b/src/window.c
@@ -859,6 +859,13 @@ void sqlite3WindowCodeInit(Parse *pParse, Window *pMWin){
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     FuncDef *p = pWin->pFunc;
     if( (p->funcFlags & SQLITE_FUNC_MINMAX) && pWin->eStart!=TK_UNBOUNDED ){
+      /* The inline versions of min() and max() require a single ephemeral
+      ** table and 3 registers. The registers are used as follows:
+      **
+      **   regApp+0: slot to copy min()/max() argument to for MakeRecord
+      **   regApp+1: integer value used to ensure keys are unique
+      **   regApp+2: output of MakeRecord
+      */
       ExprList *pList = pWin->pOwner->x.pList;
       KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pList, 0, 0);
       pWin->csrApp = pParse->nTab++;
@@ -1248,14 +1255,21 @@ static int windowInitAccum(Parse *pParse, Window *pMWin){
   int nArg = 0;
   Window *pWin;
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
+    FuncDef *pFunc = pWin->pFunc;
     sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
     nArg = MAX(nArg, windowArgCount(pWin));
-    if( pWin->pFunc->xSFunc==nth_valueStepFunc
-     || pWin->pFunc->xSFunc==first_valueStepFunc 
+    if( pFunc->xSFunc==nth_valueStepFunc
+     || pFunc->xSFunc==first_valueStepFunc 
     ){
       sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp);
       sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
     }
+
+    if( (pFunc->funcFlags & SQLITE_FUNC_MINMAX) && pWin->csrApp ){
+      assert( pWin->eStart!=TK_UNBOUNDED );
+      sqlite3VdbeAddOp1(v, OP_ResetSorter, pWin->csrApp);
+      sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
+    }
   }
   regArg = pParse->nMem+1;
   pParse->nMem += nArg;
diff --git a/test/permutations.test b/test/permutations.test
index 52e2509fc1..475ad10a65 100644
--- a/test/permutations.test
+++ b/test/permutations.test
@@ -283,6 +283,12 @@ test_suite "fts5-light" -prefix "" -description {
       -exclude *corrupt* *fault* *big* *fts5aj*
 ]
 
+test_suite "window" -prefix "" -description {
+  All window function related tests .
+} -files [
+  test_set [glob -nocomplain $::testdir/window*.test]
+]
+
 test_suite "lsm1" -prefix "" -description {
   All LSM1 tests.
 } -files [glob -nocomplain $::testdir/../ext/lsm1/test/*.test]
diff --git a/test/window1.test b/test/window1.test
index 18d547963c..14edd0e031 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -251,6 +251,10 @@ do_catchsql_test 7.1.6 {
   SELECT trim(x) OVER (ORDER BY y) FROM t1;
 } {1 {trim() may not be used as a window function}}
 
+do_catchsql_test 7.1.7 {
+  SELECT max(x) OVER abc FROM t1 WINDOW def AS (ORDER BY y);
+} {1 {no such window: abc}}
+
 
 finish_test
 
diff --git a/test/window4.tcl b/test/window4.tcl
index 5c7466e75d..e96782afdc 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -128,7 +128,8 @@ execsql_test 3.6.3 {
   FROM t5
 }
 
-#=========================================================================
+==========
+
 execsql_test 4.0 {
   DROP TABLE IF EXISTS ttt;
   CREATE TABLE ttt(a INTEGER PRIMARY KEY, b INTEGER, c INTEGER);
@@ -163,6 +164,57 @@ execsql_test 4.4 {
   ) FROM ttt;
 }
 
+set lPart  [list "PARTITION BY b" "PARTITION BY b, a" "" "PARTITION BY a"]
+set lOrder [list "ORDER BY a" "ORDER BY a DESC" "" "ORDER BY b, a"]
+set lRange {
+    "BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW"
+    "BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING"
+    "BETWEEN CURRENT ROW AND CURRENT ROW"
+    "BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING"
+}
+
+set tn 1
+set SQL {
+  SELECT max(c) OVER ($p1 $o1 RANGE $r1), 
+  min(c) OVER ($p2 $o2 RANGE $r2)
+  FROM ttt ORDER BY a
+}
+set SQL2 {
+  SELECT avg(c) OVER ($p1 $o1 RANGE $r1), 
+         avg(c) OVER ($p2 $o2 RANGE $r2)
+  FROM ttt ORDER BY a
+}
+
+set o1 [lindex $lOrder 0]
+set o2 [lindex $lOrder 0]
+set r1 [lindex $lRange 0]
+set r2 [lindex $lRange 0]
+foreach p1 $lPart { foreach p2 $lPart { 
+  execsql_test 4.5.$tn.1 [subst $SQL]
+  execsql_float_test 4.5.$tn.2 [subst $SQL2]
+  incr tn
+}}
+
+set o1 [lindex $lOrder 0]
+set o2 [lindex $lOrder 0]
+set p1 [lindex $lPart 0]
+set p2 [lindex $lPart 0]
+foreach r1 $lRange { foreach r2 $lRange { 
+  execsql_test 4.5.$tn.1 [subst $SQL]
+  execsql_float_test 4.5.$tn.2 [subst $SQL2]
+  incr tn
+}}
+
+set r1 [lindex $lRange 0]
+set r2 [lindex $lRange 0]
+set p1 [lindex $lPart 0]
+set p2 [lindex $lPart 0]
+foreach o1 $lOrder { foreach o2 $lOrder { 
+  execsql_test 4.5.$tn.1 [subst $SQL]
+  execsql_float_test 4.5.$tn.2 [subst $SQL2]
+  incr tn
+}}
+
 
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index 20b8a114b0..a57fc16b74 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -211,6 +211,8 @@ do_execsql_test 3.6.3 {
   FROM t5
 } {1 one   2 two   3 three   4 four   5 five}
 
+#==========================================================================
+
 do_execsql_test 4.0 {
   DROP TABLE IF EXISTS ttt;
   CREATE TABLE ttt(a INTEGER PRIMARY KEY, b INTEGER, c INTEGER);
@@ -245,4 +247,772 @@ do_execsql_test 4.4 {
   ) FROM ttt;
 } {18   17   15   12   11   9   6   5   3}
 
+do_execsql_test 4.5.1.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.1.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.2.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.2.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 3.00 3.00 4.00 4.00 5.00}
+
+do_execsql_test 4.5.3.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 1   3 1   2 1   3 1   4 1   3 1   4 1   5 1}
+
+do_test 4.5.3.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 1.50 3.00 2.00 1.50 2.00 2.50 2.20 3.50 2.50 2.00 2.57 3.00 2.75 4.00 3.00}
+
+do_execsql_test 4.5.4.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.4.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 3.00 3.00 4.00 4.00 5.00}
+
+do_execsql_test 4.5.5.1 {
+  SELECT max(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.5.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+
+do_execsql_test 4.5.6.1 {
+  SELECT max(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.6.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+
+do_execsql_test 4.5.7.1 {
+  SELECT max(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 1   3 1   2 1   3 1   4 1   3 1   4 1   5 1}
+
+do_test 4.5.7.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 1.50 3.00 2.00 2.00 2.00 3.00 2.20 4.00 2.50 3.00 2.57 4.00 2.75 5.00 3.00}
+
+do_execsql_test 4.5.8.1 {
+  SELECT max(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.8.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+
+do_execsql_test 4.5.9.1 {
+  SELECT max(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 1   3 2   4 3   4 1   4 2   5 3}
+
+do_test 4.5.9.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.50 2.00 2.00 3.00 2.00 1.50 2.20 2.50 2.50 3.50 2.57 2.00 2.75 3.00 3.00 4.00}
+
+do_execsql_test 4.5.10.1 {
+  SELECT max(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 2   3 3   4 4   4 3   4 4   5 5}
+
+do_test 4.5.10.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.50 2.00 2.00 3.00 2.00 2.00 2.20 3.00 2.50 4.00 2.57 3.00 2.75 4.00 3.00 5.00}
+
+do_execsql_test 4.5.11.1 {
+  SELECT max(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 1   3 1   3 1   3 1   4 1   4 1   4 1   5 1}
+
+do_test 4.5.11.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.50 1.50 2.00 2.00 2.00 2.00 2.20 2.20 2.50 2.50 2.57 2.57 2.75 2.75 3.00 3.00}
+
+do_execsql_test 4.5.12.1 {
+  SELECT max(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 2   3 3   4 4   4 3   4 4   5 5}
+
+do_test 4.5.12.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.50 2.00 2.00 3.00 2.00 2.00 2.20 3.00 2.50 4.00 2.57 3.00 2.75 4.00 3.00 5.00}
+
+do_execsql_test 4.5.13.1 {
+  SELECT max(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.13.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+
+do_execsql_test 4.5.14.1 {
+  SELECT max(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.14.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+
+do_execsql_test 4.5.15.1 {
+  SELECT max(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 1   3 1   2 1   3 1   4 1   3 1   4 1   5 1}
+
+do_test 4.5.15.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 1.50 3.00 2.00 2.00 2.00 3.00 2.20 4.00 2.50 3.00 2.57 4.00 2.75 5.00 3.00}
+
+do_execsql_test 4.5.16.1 {
+  SELECT max(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.16.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+
+do_execsql_test 4.5.17.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.17.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.18.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.18.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.19.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.19.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 3.00 3.00 4.00 4.00 5.00}
+
+do_execsql_test 4.5.20.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.20.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.50 2.50 3.50 3.50 4.50 2.00 3.00 3.00 4.00 4.00 5.00}
+
+do_execsql_test 4.5.21.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_test 4.5.21.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 1.00 3.00 2.00 4.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.22.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_test 4.5.22.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.23.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
+
+do_test 4.5.23.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 1.00 3.00 2.00 4.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 2.00 3.00 3.00 4.00 4.00 5.00}
+
+do_execsql_test 4.5.24.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
+
+do_test 4.5.24.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.50 3.00 3.50 4.00 4.50 2.00 3.00 3.00 4.00 4.00 5.00}
+
+do_execsql_test 4.5.25.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.25.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+
+do_execsql_test 4.5.26.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.26.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 2.00 3.00 3.00 4.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 2.00 4.00 3.00 5.00 4.00}
+
+do_execsql_test 4.5.27.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.27.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+
+do_execsql_test 4.5.28.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.28.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 2.00 3.00 3.00 4.00 2.00 2.50 3.00 3.50 4.00 4.50 3.00 3.00 4.00 4.00 5.00 5.00}
+
+do_execsql_test 4.5.29.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_test 4.5.29.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 1.00 3.00 2.00 4.00 3.00 2.50 1.50 3.50 2.50 4.50 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+
+do_execsql_test 4.5.30.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_test 4.5.30.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 2.00 3.00 3.00 4.00 4.00 2.50 2.00 3.50 3.00 4.50 4.00 3.00 2.00 4.00 3.00 5.00 4.00}
+
+do_execsql_test 4.5.31.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
+
+do_test 4.5.31.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 1.00 3.00 2.00 4.00 3.00 2.50 2.00 3.50 3.00 4.50 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+
+do_execsql_test 4.5.32.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
+
+do_test 4.5.32.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 2.00 3.00 3.00 4.00 4.00 2.50 2.50 3.50 3.50 4.50 4.50 3.00 3.00 4.00 4.00 5.00 5.00}
+
+do_execsql_test 4.5.33.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.33.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.34.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.34.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.50 2.50 3.50 3.50 4.50 2.00 3.00 3.00 4.00 4.00 5.00}
+
+do_execsql_test 4.5.35.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.35.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.36.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.36.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.37.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_test 4.5.37.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 1.00 3.00 2.00 4.00 3.00 2.50 1.50 3.50 2.50 4.50 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+
+do_execsql_test 4.5.38.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
+
+do_test 4.5.38.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 2.00 3.00 3.00 4.00 4.00 2.50 2.50 3.50 3.50 4.50 4.50 3.00 3.00 4.00 4.00 5.00 5.00}
+
+do_execsql_test 4.5.39.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_test 4.5.39.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 2.00 3.00 3.00 4.00 4.00 2.50 2.00 3.50 3.00 4.50 4.00 3.00 2.00 4.00 3.00 5.00 4.00}
+
+do_execsql_test 4.5.40.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_test 4.5.40.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 1.00 3.00 2.00 4.00 3.00 2.50 1.50 3.50 2.50 4.50 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+
+do_execsql_test 4.5.41.1 {
+  SELECT max(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_test 4.5.41.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 1.00 3.00 2.00 4.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.42.1 {
+  SELECT max(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
+
+do_test 4.5.42.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.50 3.00 3.50 4.00 4.50 2.00 3.00 3.00 4.00 4.00 5.00}
+
+do_execsql_test 4.5.43.1 {
+  SELECT max(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_test 4.5.43.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.44.1 {
+  SELECT max(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_test 4.5.44.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {2.00 1.00 3.00 2.00 4.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.45.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.45.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.46.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_test 4.5.46.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.50 2.50 3.50 3.50 4.50 2.00 3.00 3.00 4.00 4.00 5.00}
+
+do_execsql_test 4.5.47.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.47.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 2.00 3.00 3.00 4.00 4.00}
+
+do_execsql_test 4.5.48.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_test 4.5.48.2 {
+  set myres {}
+  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+
 finish_test

From 303451a8f77f84a71c8ac1a3d05972c71c130fe7 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 14 Jun 2018 20:52:08 +0000
Subject: [PATCH 077/154] Fix a problem with handling of statements containing
 two or more different windows.

FossilOrigin-Name: 567e09ef2a8cd84a2481117e52595bed0f3b588745a9e441aae0f87680f3a2e8
---
 manifest           |   18 +-
 manifest.uuid      |    2 +-
 src/window.c       |    4 +-
 test/pg_common.tcl |    5 +-
 test/window4.tcl   |   35 +-
 test/window4.test  | 1014 ++++++++++++++++++++++++--------------------
 6 files changed, 601 insertions(+), 477 deletions(-)

diff --git a/manifest b/manifest
index fa813d09b4..648c77643c 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sproblem\swith\swindow\sfunctions\smin()\sand\smax()\swhen\sused\swith\sa\sPARTITION\nclause\sand\sa\sframe\sstarting\spoint\sother\sthan\s"UNBOUNDED\sPRECEDING".
-D 2018-06-14T19:06:36.904
+C Fix\sa\sproblem\swith\shandling\sof\sstatements\scontaining\stwo\sor\smore\sdifferent\nwindows.
+D 2018-06-14T20:52:08.656
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -583,7 +583,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c 3fc03f5ac20516d218933bc9eaf37863a511d9b9fffb3e37a9409e7a25efca99
+F src/window.c 8d9999b2dd3c0d9fe49523480b20100478875eedf652bfc7811046f4db54c761
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1150,7 +1150,7 @@ F test/pcache.test c8acbedd3b6fd0f9a7ca887a83b11d24a007972b
 F test/pcache2.test af7f3deb1a819f77a6d0d81534e97d1cf62cd442
 F test/percentile.test 4243af26b8f3f4555abe166f723715a1f74c77ff
 F test/permutations.test 5c2167e03dc55ff697e11bb3abf10c66ba452e4afb2dbd85a2b144048355300e
-F test/pg_common.tcl b50727fe1ee3369d0421eadea2c2fd247bfb9d89a8e06ececf2f6866de17abd8
+F test/pg_common.tcl 5cd48d499eacc5e2c446c2ed6e0774d2539f93f3d5fa184763cde02dd824d0c8
 F test/pragma.test 7c8cfc328a1717a95663cf8edb06c52ddfeaf97bb0aee69ae7457132e8d39e7d
 F test/pragma2.test e5d5c176360c321344249354c0c16aec46214c9f
 F test/pragma3.test 14c12bc5352b1e100e0b6b44f371053a81ccf8ed
@@ -1622,8 +1622,8 @@ F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fb
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
-F test/window4.tcl 3388b29669144bccd012bf5e237d165cf8eff2a310c26cc43a70279775f2fb01
-F test/window4.test f14ecc20c004a2a0d5fd8530266ea4255e3c0a55681bce1fea24af04ea82005f
+F test/window4.tcl 9a04d14649ba625608a7b0ddd1640b41619632ee5550bdb772d466b628ede95a
+F test/window4.test 2959afeb5dc86c85711a80ad920f7f65d7d158d7bbce37bf2460c862b8c74de6
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 5cf5f1808a51f9c2cfc98dd49b4f1ce860b53e935287f89868ce2fdbace8eb06
-R ef2b7f57cdc1146bf754373b3823f53c
+P 43eb1e75a4d7ac0973ed8589bbaf379c24cdc8eacc4e613610d2d4c24d385dc1
+R 8fa685be6b05cccf51d69be1e42b3c72
 U dan
-Z e015141b8a297bc169625a565b97966a
+Z 5df8e391006a1a484745351d3ef4fda5
diff --git a/manifest.uuid b/manifest.uuid
index fe46aaa166..e8793de8a7 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-43eb1e75a4d7ac0973ed8589bbaf379c24cdc8eacc4e613610d2d4c24d385dc1
\ No newline at end of file
+567e09ef2a8cd84a2481117e52595bed0f3b588745a9e441aae0f87680f3a2e8
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 0ec6bd34f8..babbf3f3ff 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1937,8 +1937,8 @@ Window *sqlite3WindowDup(sqlite3 *db, Expr *pOwner, Window *p){
       pNew->eType = p->eType;
       pNew->eEnd = p->eEnd;
       pNew->eStart = p->eStart;
-      pNew->pStart = sqlite3ExprDup(db, pNew->pStart, 0);
-      pNew->pEnd = sqlite3ExprDup(db, pNew->pEnd, 0);
+      pNew->pStart = sqlite3ExprDup(db, p->pStart, 0);
+      pNew->pEnd = sqlite3ExprDup(db, p->pEnd, 0);
       pNew->pOwner = pOwner;
     }
   }
diff --git a/test/pg_common.tcl b/test/pg_common.tcl
index fcf380e9ff..c957b433cc 100644
--- a/test/pg_common.tcl
+++ b/test/pg_common.tcl
@@ -74,7 +74,10 @@ proc execsql_float_test {tn sql} {
   set F "%.2f"
   set res [execsql $sql]
   set res2 [list]
-  foreach r $res { lappend res2 [format $F $r] }
+  foreach r $res { 
+    if {$r != ""} { set r [format $F $r] }
+    lappend res2 $r
+  }
 
   puts $::fd "do_test $tn {"
   puts $::fd "  set myres {}"
diff --git a/test/window4.tcl b/test/window4.tcl
index e96782afdc..bb76d26f59 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -167,21 +167,29 @@ execsql_test 4.4 {
 set lPart  [list "PARTITION BY b" "PARTITION BY b, a" "" "PARTITION BY a"]
 set lOrder [list "ORDER BY a" "ORDER BY a DESC" "" "ORDER BY b, a"]
 set lRange {
-    "BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW"
-    "BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING"
-    "BETWEEN CURRENT ROW AND CURRENT ROW"
-    "BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING"
+    "RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW"
+    "RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING"
+    "RANGE BETWEEN CURRENT ROW AND CURRENT ROW"
+    "RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING"
+}
+
+set lRows {
+    "ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING"
+    "ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING"
+    "ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING"
+    "ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING"
+    "ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING"
 }
 
 set tn 1
 set SQL {
-  SELECT max(c) OVER ($p1 $o1 RANGE $r1), 
-  min(c) OVER ($p2 $o2 RANGE $r2)
+  SELECT max(c) OVER ($p1 $o1 $r1), 
+  min(c) OVER ($p2 $o2 $r2)
   FROM ttt ORDER BY a
 }
 set SQL2 {
-  SELECT avg(c) OVER ($p1 $o1 RANGE $r1), 
-         avg(c) OVER ($p2 $o2 RANGE $r2)
+  SELECT sum(c) OVER ($p1 $o1 $r1), 
+         sum(c) OVER ($p2 $o2 $r2)
   FROM ttt ORDER BY a
 }
 
@@ -191,7 +199,7 @@ set r1 [lindex $lRange 0]
 set r2 [lindex $lRange 0]
 foreach p1 $lPart { foreach p2 $lPart { 
   execsql_test 4.5.$tn.1 [subst $SQL]
-  execsql_float_test 4.5.$tn.2 [subst $SQL2]
+  execsql_test 4.5.$tn.2 [subst $SQL2]
   incr tn
 }}
 
@@ -201,7 +209,12 @@ set p1 [lindex $lPart 0]
 set p2 [lindex $lPart 0]
 foreach r1 $lRange { foreach r2 $lRange { 
   execsql_test 4.5.$tn.1 [subst $SQL]
-  execsql_float_test 4.5.$tn.2 [subst $SQL2]
+  execsql_test 4.5.$tn.2 [subst $SQL2]
+  incr tn
+}}
+foreach r1 $lRows { foreach r2 $lRows { 
+  execsql_test 4.5.$tn.1 [subst $SQL]
+  execsql_test 4.5.$tn.2 [subst $SQL2]
   incr tn
 }}
 
@@ -211,7 +224,7 @@ set p1 [lindex $lPart 0]
 set p2 [lindex $lPart 0]
 foreach o1 $lOrder { foreach o2 $lOrder { 
   execsql_test 4.5.$tn.1 [subst $SQL]
-  execsql_float_test 4.5.$tn.2 [subst $SQL2]
+  execsql_test 4.5.$tn.2 [subst $SQL2]
   incr tn
 }}
 
diff --git a/test/window4.test b/test/window4.test
index a57fc16b74..a6f3a020c0 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -253,15 +253,11 @@ do_execsql_test 4.5.1.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.1.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.1.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 3   5 5   7 7   6 6   9 9   12 12}
 
 do_execsql_test 4.5.2.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -269,15 +265,11 @@ do_execsql_test 4.5.2.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.2.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 3.00 3.00 4.00 4.00 5.00}
+do_execsql_test 4.5.2.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 2   5 3   7 4   6 3   9 4   12 5}
 
 do_execsql_test 4.5.3.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -285,15 +277,11 @@ do_execsql_test 4.5.3.1 {
   FROM ttt ORDER BY a
 } {1 1   2 1   3 1   2 1   3 1   4 1   3 1   4 1   5 1}
 
-do_test 4.5.3.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 1.50 3.00 2.00 1.50 2.00 2.50 2.20 3.50 2.50 2.00 2.57 3.00 2.75 4.00 3.00}
+do_execsql_test 4.5.3.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 3   3 6   3 8   5 11   7 15   6 18   9 22   12 27}
 
 do_execsql_test 4.5.4.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -301,15 +289,11 @@ do_execsql_test 4.5.4.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.4.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 3.00 3.00 4.00 4.00 5.00}
+do_execsql_test 4.5.4.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 2   5 3   7 4   6 3   9 4   12 5}
 
 do_execsql_test 4.5.5.1 {
   SELECT max(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -317,15 +301,11 @@ do_execsql_test 4.5.5.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.5.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+do_execsql_test 4.5.5.2 {
+  SELECT sum(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 3   3 5   4 7   3 6   4 9   5 12}
 
 do_execsql_test 4.5.6.1 {
   SELECT max(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -333,15 +313,11 @@ do_execsql_test 4.5.6.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.6.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+do_execsql_test 4.5.6.2 {
+  SELECT sum(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
 do_execsql_test 4.5.7.1 {
   SELECT max(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -349,15 +325,11 @@ do_execsql_test 4.5.7.1 {
   FROM ttt ORDER BY a
 } {1 1   2 1   3 1   2 1   3 1   4 1   3 1   4 1   5 1}
 
-do_test 4.5.7.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 1.50 3.00 2.00 2.00 2.00 3.00 2.20 4.00 2.50 3.00 2.57 4.00 2.75 5.00 3.00}
+do_execsql_test 4.5.7.2 {
+  SELECT sum(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 3   3 6   2 8   3 11   4 15   3 18   4 22   5 27}
 
 do_execsql_test 4.5.8.1 {
   SELECT max(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -365,15 +337,11 @@ do_execsql_test 4.5.8.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.8.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+do_execsql_test 4.5.8.2 {
+  SELECT sum(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
 do_execsql_test 4.5.9.1 {
   SELECT max(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -381,15 +349,11 @@ do_execsql_test 4.5.9.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   3 1   3 2   4 3   4 1   4 2   5 3}
 
-do_test 4.5.9.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 1.50 2.00 2.00 3.00 2.00 1.50 2.20 2.50 2.50 3.50 2.57 2.00 2.75 3.00 3.00 4.00}
+do_execsql_test 4.5.9.2 {
+  SELECT sum(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   3 2   6 3   8 3   11 5   15 7   18 6   22 9   27 12}
 
 do_execsql_test 4.5.10.1 {
   SELECT max(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -397,15 +361,11 @@ do_execsql_test 4.5.10.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   3 2   3 3   4 4   4 3   4 4   5 5}
 
-do_test 4.5.10.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 1.50 2.00 2.00 3.00 2.00 2.00 2.20 3.00 2.50 4.00 2.57 3.00 2.75 4.00 3.00 5.00}
+do_execsql_test 4.5.10.2 {
+  SELECT sum(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   3 2   6 3   8 2   11 3   15 4   18 3   22 4   27 5}
 
 do_execsql_test 4.5.11.1 {
   SELECT max(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -413,15 +373,11 @@ do_execsql_test 4.5.11.1 {
   FROM ttt ORDER BY a
 } {1 1   2 1   3 1   3 1   3 1   4 1   4 1   4 1   5 1}
 
-do_test 4.5.11.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 1.50 1.50 2.00 2.00 2.00 2.00 2.20 2.20 2.50 2.50 2.57 2.57 2.75 2.75 3.00 3.00}
+do_execsql_test 4.5.11.2 {
+  SELECT sum(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   3 3   6 6   8 8   11 11   15 15   18 18   22 22   27 27}
 
 do_execsql_test 4.5.12.1 {
   SELECT max(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -429,15 +385,11 @@ do_execsql_test 4.5.12.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   3 2   3 3   4 4   4 3   4 4   5 5}
 
-do_test 4.5.12.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 1.50 2.00 2.00 3.00 2.00 2.00 2.20 3.00 2.50 4.00 2.57 3.00 2.75 4.00 3.00 5.00}
+do_execsql_test 4.5.12.2 {
+  SELECT sum(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   3 2   6 3   8 2   11 3   15 4   18 3   22 4   27 5}
 
 do_execsql_test 4.5.13.1 {
   SELECT max(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -445,15 +397,11 @@ do_execsql_test 4.5.13.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.13.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+do_execsql_test 4.5.13.2 {
+  SELECT sum(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 3   3 5   4 7   3 6   4 9   5 12}
 
 do_execsql_test 4.5.14.1 {
   SELECT max(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -461,15 +409,11 @@ do_execsql_test 4.5.14.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.14.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+do_execsql_test 4.5.14.2 {
+  SELECT sum(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b, a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
 do_execsql_test 4.5.15.1 {
   SELECT max(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -477,15 +421,11 @@ do_execsql_test 4.5.15.1 {
   FROM ttt ORDER BY a
 } {1 1   2 1   3 1   2 1   3 1   4 1   3 1   4 1   5 1}
 
-do_test 4.5.15.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 1.50 3.00 2.00 2.00 2.00 3.00 2.20 4.00 2.50 3.00 2.57 4.00 2.75 5.00 3.00}
+do_execsql_test 4.5.15.2 {
+  SELECT sum(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 3   3 6   2 8   3 11   4 15   3 18   4 22   5 27}
 
 do_execsql_test 4.5.16.1 {
   SELECT max(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -493,15 +433,11 @@ do_execsql_test 4.5.16.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.16.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+do_execsql_test 4.5.16.2 {
+  SELECT sum(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY a ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
 do_execsql_test 4.5.17.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -509,15 +445,11 @@ do_execsql_test 4.5.17.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.17.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.17.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 3   5 5   7 7   6 6   9 9   12 12}
 
 do_execsql_test 4.5.18.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -525,15 +457,11 @@ do_execsql_test 4.5.18.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.18.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.18.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {1 6   2 9   3 12   3 6   5 9   7 12   6 6   9 9   12 12}
 
 do_execsql_test 4.5.19.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -541,15 +469,11 @@ do_execsql_test 4.5.19.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.19.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 3.00 3.00 4.00 4.00 5.00}
+do_execsql_test 4.5.19.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 2   5 3   7 4   6 3   9 4   12 5}
 
 do_execsql_test 4.5.20.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
@@ -557,15 +481,11 @@ do_execsql_test 4.5.20.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.20.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.50 2.50 3.50 3.50 4.50 2.00 3.00 3.00 4.00 4.00 5.00}
+do_execsql_test 4.5.20.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {1 6   2 9   3 12   3 5   5 7   7 9   6 3   9 4   12 5}
 
 do_execsql_test 4.5.21.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
@@ -573,15 +493,11 @@ do_execsql_test 4.5.21.1 {
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.21.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 1.00 3.00 2.00 4.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.21.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 1   9 2   12 3   6 3   9 5   12 7   6 6   9 9   12 12}
 
 do_execsql_test 4.5.22.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
@@ -589,15 +505,11 @@ do_execsql_test 4.5.22.1 {
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.22.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.22.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {6 6   9 9   12 12   6 6   9 9   12 12   6 6   9 9   12 12}
 
 do_execsql_test 4.5.23.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
@@ -605,15 +517,11 @@ do_execsql_test 4.5.23.1 {
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
 
-do_test 4.5.23.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 1.00 3.00 2.00 4.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 2.00 3.00 3.00 4.00 4.00 5.00}
+do_execsql_test 4.5.23.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 1   9 2   12 3   6 2   9 3   12 4   6 3   9 4   12 5}
 
 do_execsql_test 4.5.24.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
@@ -621,15 +529,11 @@ do_execsql_test 4.5.24.1 {
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
 
-do_test 4.5.24.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.50 3.00 3.50 4.00 4.50 2.00 3.00 3.00 4.00 4.00 5.00}
+do_execsql_test 4.5.24.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {6 6   9 9   12 12   6 5   9 7   12 9   6 3   9 4   12 5}
 
 do_execsql_test 4.5.25.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
@@ -637,15 +541,11 @@ do_execsql_test 4.5.25.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.25.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+do_execsql_test 4.5.25.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 3   3 5   4 7   3 6   4 9   5 12}
 
 do_execsql_test 4.5.26.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
@@ -653,15 +553,11 @@ do_execsql_test 4.5.26.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.26.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 2.00 2.00 3.00 3.00 4.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 2.00 4.00 3.00 5.00 4.00}
+do_execsql_test 4.5.26.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {1 6   2 9   3 12   2 6   3 9   4 12   3 6   4 9   5 12}
 
 do_execsql_test 4.5.27.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
@@ -669,15 +565,11 @@ do_execsql_test 4.5.27.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.27.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 2.00 2.00 3.00 3.00 4.00 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+do_execsql_test 4.5.27.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
 do_execsql_test 4.5.28.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
@@ -685,15 +577,11 @@ do_execsql_test 4.5.28.1 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.28.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 2.00 2.00 3.00 3.00 4.00 2.00 2.50 3.00 3.50 4.00 4.50 3.00 3.00 4.00 4.00 5.00 5.00}
+do_execsql_test 4.5.28.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {1 6   2 9   3 12   2 5   3 7   4 9   3 3   4 4   5 5}
 
 do_execsql_test 4.5.29.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
@@ -701,15 +589,11 @@ do_execsql_test 4.5.29.1 {
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.29.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 1.00 3.00 2.00 4.00 3.00 2.50 1.50 3.50 2.50 4.50 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+do_execsql_test 4.5.29.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 1   9 2   12 3   5 3   7 5   9 7   3 6   4 9   5 12}
 
 do_execsql_test 4.5.30.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
@@ -717,15 +601,11 @@ do_execsql_test 4.5.30.1 {
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.30.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 2.00 3.00 3.00 4.00 4.00 2.50 2.00 3.50 3.00 4.50 4.00 3.00 2.00 4.00 3.00 5.00 4.00}
+do_execsql_test 4.5.30.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {6 6   9 9   12 12   5 6   7 9   9 12   3 6   4 9   5 12}
 
 do_execsql_test 4.5.31.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
@@ -733,15 +613,11 @@ do_execsql_test 4.5.31.1 {
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
 
-do_test 4.5.31.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 1.00 3.00 2.00 4.00 3.00 2.50 2.00 3.50 3.00 4.50 4.00 3.00 3.00 4.00 4.00 5.00 5.00}
+do_execsql_test 4.5.31.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 1   9 2   12 3   5 2   7 3   9 4   3 3   4 4   5 5}
 
 do_execsql_test 4.5.32.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
@@ -749,270 +625,502 @@ do_execsql_test 4.5.32.1 {
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
 
-do_test 4.5.32.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 2.00 3.00 3.00 4.00 4.00 2.50 2.50 3.50 3.50 4.50 4.50 3.00 3.00 4.00 4.00 5.00 5.00}
+do_execsql_test 4.5.32.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  FROM ttt ORDER BY a
+} {6 6   9 9   12 12   5 5   7 7   9 9   3 3   4 4   5 5}
 
 do_execsql_test 4.5.33.1 {
-  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING)
   FROM ttt ORDER BY a
-} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+} {2 1   3 2   4 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.33.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.33.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 3   5 5   7 7   6 6   9 9   12 12   6 6   9 9   12 12}
 
 do_execsql_test 4.5.34.1 {
-  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-  min(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING)
   FROM ttt ORDER BY a
-} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+} {2 1   3 2   4 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.34.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.50 2.50 3.50 3.50 4.50 2.00 3.00 3.00 4.00 4.00 5.00}
+do_execsql_test 4.5.34.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 6   5 9   7 12   6 6   9 9   12 12   6 6   9 9   12 12}
 
 do_execsql_test 4.5.35.1 {
-  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-  min(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
   FROM ttt ORDER BY a
-} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+} {2 {}   3 {}   4 {}   3 1   4 2   5 3   3 2   4 3   5 4}
 
-do_test 4.5.35.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.35.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {3 {}   5 {}   7 {}   6 1   9 2   12 3   6 2   9 3   12 4}
 
 do_execsql_test 4.5.36.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {2 {}   3 {}   4 {}   3 {}   4 {}   5 {}   3 {}   4 {}   5 {}}
+
+do_execsql_test 4.5.36.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {3 {}   5 {}   7 {}   6 {}   9 {}   12 {}   6 {}   9 {}   12 {}}
+
+do_execsql_test 4.5.37.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING)
+  FROM ttt ORDER BY a
+} {2 2   3 3   4 4   3 3   4 4   5 5   3 {}   4 {}   5 {}}
+
+do_execsql_test 4.5.37.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 5   5 7   7 9   6 3   9 4   12 5   6 {}   9 {}   12 {}}
+
+do_execsql_test 4.5.38.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_execsql_test 4.5.38.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING)
+  FROM ttt ORDER BY a
+} {6 3   9 5   12 7   6 6   9 9   12 12   6 6   9 9   12 12}
+
+do_execsql_test 4.5.39.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
+
+do_execsql_test 4.5.39.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING)
+  FROM ttt ORDER BY a
+} {6 6   9 9   12 12   6 6   9 9   12 12   6 6   9 9   12 12}
+
+do_execsql_test 4.5.40.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {3 {}   4 {}   5 {}   3 1   4 2   5 3   3 2   4 3   5 4}
+
+do_execsql_test 4.5.40.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {6 {}   9 {}   12 {}   6 1   9 2   12 3   6 2   9 3   12 4}
+
+do_execsql_test 4.5.41.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {3 {}   4 {}   5 {}   3 {}   4 {}   5 {}   3 {}   4 {}   5 {}}
+
+do_execsql_test 4.5.41.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {6 {}   9 {}   12 {}   6 {}   9 {}   12 {}   6 {}   9 {}   12 {}}
+
+do_execsql_test 4.5.42.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 2   4 3   5 4   3 3   4 4   5 5   3 {}   4 {}   5 {}}
+
+do_execsql_test 4.5.42.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING)
+  FROM ttt ORDER BY a
+} {6 5   9 7   12 9   6 3   9 4   12 5   6 {}   9 {}   12 {}}
+
+do_execsql_test 4.5.43.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 1   {} 2   {} 3   1 1   2 2   3 3   2 1   3 2   4 3}
+
+do_execsql_test 4.5.43.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 3   {} 5   {} 7   1 6   2 9   3 12   2 6   3 9   4 12}
+
+do_execsql_test 4.5.44.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 1   {} 2   {} 3   1 1   2 2   3 3   2 1   3 2   4 3}
+
+do_execsql_test 4.5.44.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 6   {} 9   {} 12   1 6   2 9   3 12   2 6   3 9   4 12}
+
+do_execsql_test 4.5.45.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {{} {}   {} {}   {} {}   1 1   2 2   3 3   2 2   3 3   4 4}
+
+do_execsql_test 4.5.45.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {{} {}   {} {}   {} {}   1 1   2 2   3 3   2 2   3 3   4 4}
+
+do_execsql_test 4.5.46.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {{} {}   {} {}   {} {}   1 {}   2 {}   3 {}   2 {}   3 {}   4 {}}
+
+do_execsql_test 4.5.46.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {{} {}   {} {}   {} {}   1 {}   2 {}   3 {}   2 {}   3 {}   4 {}}
+
+do_execsql_test 4.5.47.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 2   {} 3   {} 4   1 3   2 4   3 5   2 {}   3 {}   4 {}}
+
+do_execsql_test 4.5.47.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 5   {} 7   {} 9   1 3   2 4   3 5   2 {}   3 {}   4 {}}
+
+do_execsql_test 4.5.48.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 1   {} 2   {} 3   {} 1   {} 2   {} 3   {} 1   {} 2   {} 3}
+
+do_execsql_test 4.5.48.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 3   {} 5   {} 7   {} 6   {} 9   {} 12   {} 6   {} 9   {} 12}
+
+do_execsql_test 4.5.49.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 1   {} 2   {} 3   {} 1   {} 2   {} 3   {} 1   {} 2   {} 3}
+
+do_execsql_test 4.5.49.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 6   {} 9   {} 12   {} 6   {} 9   {} 12   {} 6   {} 9   {} 12}
+
+do_execsql_test 4.5.50.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {{} {}   {} {}   {} {}   {} 1   {} 2   {} 3   {} 2   {} 3   {} 4}
+
+do_execsql_test 4.5.50.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {{} {}   {} {}   {} {}   {} 1   {} 2   {} 3   {} 2   {} 3   {} 4}
+
+do_execsql_test 4.5.51.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {{} {}   {} {}   {} {}   {} {}   {} {}   {} {}   {} {}   {} {}   {} {}}
+
+do_execsql_test 4.5.51.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {{} {}   {} {}   {} {}   {} {}   {} {}   {} {}   {} {}   {} {}   {} {}}
+
+do_execsql_test 4.5.52.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 2   {} 3   {} 4   {} 3   {} 4   {} 5   {} {}   {} {}   {} {}}
+
+do_execsql_test 4.5.52.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING)
+  FROM ttt ORDER BY a
+} {{} 5   {} 7   {} 9   {} 3   {} 4   {} 5   {} {}   {} {}   {} {}}
+
+do_execsql_test 4.5.53.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   {} 1   {} 2   {} 3}
+
+do_execsql_test 4.5.53.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 1 FOLLOWING)
+  FROM ttt ORDER BY a
+} {5 3   7 5   9 7   3 6   4 9   5 12   {} 6   {} 9   {} 12}
+
+do_execsql_test 4.5.54.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 1   4 2   5 3   3 1   4 2   5 3   {} 1   {} 2   {} 3}
+
+do_execsql_test 4.5.54.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 3 PRECEDING AND 2 FOLLOWING)
+  FROM ttt ORDER BY a
+} {5 6   7 9   9 12   3 6   4 9   5 12   {} 6   {} 9   {} 12}
+
+do_execsql_test 4.5.55.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {3 {}   4 {}   5 {}   3 1   4 2   5 3   {} 2   {} 3   {} 4}
+
+do_execsql_test 4.5.55.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {5 {}   7 {}   9 {}   3 1   4 2   5 3   {} 2   {} 3   {} 4}
+
+do_execsql_test 4.5.56.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {3 {}   4 {}   5 {}   3 {}   4 {}   5 {}   {} {}   {} {}   {} {}}
+
+do_execsql_test 4.5.56.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 0 PRECEDING AND 1 PRECEDING)
+  FROM ttt ORDER BY a
+} {5 {}   7 {}   9 {}   3 {}   4 {}   5 {}   {} {}   {} {}   {} {}}
+
+do_execsql_test 4.5.57.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING), 
+  min(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING)
+  FROM ttt ORDER BY a
+} {3 2   4 3   5 4   3 3   4 4   5 5   {} {}   {} {}   {} {}}
+
+do_execsql_test 4.5.57.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING), 
+         sum(c) OVER (PARTITION BY b ORDER BY a ROWS BETWEEN 1 FOLLOWING AND 500 FOLLOWING)
+  FROM ttt ORDER BY a
+} {5 5   7 7   9 9   3 3   4 4   5 5   {} {}   {} {}   {} {}}
+
+do_execsql_test 4.5.58.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_execsql_test 4.5.58.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 3   5 5   7 7   6 6   9 9   12 12}
+
+do_execsql_test 4.5.59.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
+
+do_execsql_test 4.5.59.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 6   2 9   3 12   3 5   5 7   7 9   6 3   9 4   12 5}
+
+do_execsql_test 4.5.60.1 {
+  SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+  min(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
+
+do_execsql_test 4.5.60.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 6   2 9   3 12   3 6   5 9   7 12   6 6   9 9   12 12}
+
+do_execsql_test 4.5.61.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.36.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.61.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 3   5 5   7 7   6 6   9 9   12 12}
 
-do_execsql_test 4.5.37.1 {
+do_execsql_test 4.5.62.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.37.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 1.00 3.00 2.00 4.00 3.00 2.50 1.50 3.50 2.50 4.50 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+do_execsql_test 4.5.62.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 1   9 2   12 3   5 3   7 5   9 7   3 6   4 9   5 12}
 
-do_execsql_test 4.5.38.1 {
+do_execsql_test 4.5.63.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
 
-do_test 4.5.38.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 2.00 3.00 3.00 4.00 4.00 2.50 2.50 3.50 3.50 4.50 4.50 3.00 3.00 4.00 4.00 5.00 5.00}
+do_execsql_test 4.5.63.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 6   9 9   12 12   5 5   7 7   9 9   3 3   4 4   5 5}
 
-do_execsql_test 4.5.39.1 {
+do_execsql_test 4.5.64.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.39.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 2.00 3.00 3.00 4.00 4.00 2.50 2.00 3.50 3.00 4.50 4.00 3.00 2.00 4.00 3.00 5.00 4.00}
+do_execsql_test 4.5.64.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 6   9 9   12 12   5 6   7 9   9 12   3 6   4 9   5 12}
 
-do_execsql_test 4.5.40.1 {
+do_execsql_test 4.5.65.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.40.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 1.00 3.00 2.00 4.00 3.00 2.50 1.50 3.50 2.50 4.50 3.50 3.00 2.00 4.00 3.00 5.00 4.00}
+do_execsql_test 4.5.65.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 1   9 2   12 3   5 3   7 5   9 7   3 6   4 9   5 12}
 
-do_execsql_test 4.5.41.1 {
+do_execsql_test 4.5.66.1 {
   SELECT max(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.41.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 1.00 3.00 2.00 4.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.66.2 {
+  SELECT sum(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 1   9 2   12 3   6 3   9 5   12 7   6 6   9 9   12 12}
 
-do_execsql_test 4.5.42.1 {
+do_execsql_test 4.5.67.1 {
   SELECT max(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 2   4 3   5 4   3 3   4 4   5 5}
 
-do_test 4.5.42.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.50 3.00 3.50 4.00 4.50 2.00 3.00 3.00 4.00 4.00 5.00}
+do_execsql_test 4.5.67.2 {
+  SELECT sum(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 6   9 9   12 12   6 5   9 7   12 9   6 3   9 4   12 5}
 
-do_execsql_test 4.5.43.1 {
+do_execsql_test 4.5.68.1 {
   SELECT max(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.43.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.00 3.00 3.00 4.00 4.00 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.68.2 {
+  SELECT sum(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 6   9 9   12 12   6 6   9 9   12 12   6 6   9 9   12 12}
 
-do_execsql_test 4.5.44.1 {
+do_execsql_test 4.5.69.1 {
   SELECT max(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {3 1   4 2   5 3   3 1   4 2   5 3   3 1   4 2   5 3}
 
-do_test 4.5.44.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {2.00 1.00 3.00 2.00 4.00 3.00 2.00 1.50 3.00 2.50 4.00 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.69.2 {
+  SELECT sum(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {6 1   9 2   12 3   6 3   9 5   12 7   6 6   9 9   12 12}
 
-do_execsql_test 4.5.45.1 {
+do_execsql_test 4.5.70.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.45.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.70.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 3   5 5   7 7   6 6   9 9   12 12}
 
-do_execsql_test 4.5.46.1 {
+do_execsql_test 4.5.71.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 2   3 3   4 4   3 3   4 4   5 5}
 
-do_test 4.5.46.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.50 2.50 3.50 3.50 4.50 2.00 3.00 3.00 4.00 4.00 5.00}
+do_execsql_test 4.5.71.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY a DESC RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 6   2 9   3 12   3 5   5 7   7 9   6 3   9 4   12 5}
 
-do_execsql_test 4.5.47.1 {
+do_execsql_test 4.5.72.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.47.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 2.00 2.00 3.00 3.00 4.00 1.50 2.00 2.50 3.00 3.50 4.00 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.72.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b  RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 6   2 9   3 12   3 6   5 9   7 12   6 6   9 9   12 12}
 
-do_execsql_test 4.5.48.1 {
+do_execsql_test 4.5.73.1 {
   SELECT max(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
   min(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   2 1   3 2   4 3   3 1   4 2   5 3}
 
-do_test 4.5.48.2 {
-  set myres {}
-  foreach r [db eval {SELECT avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
-         avg(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
-  FROM ttt ORDER BY a}] {
-    lappend myres [format %.2f [set r]]
-  }
-  set myres
-} {1.00 1.00 2.00 2.00 3.00 3.00 1.50 1.50 2.50 2.50 3.50 3.50 2.00 2.00 3.00 3.00 4.00 4.00}
+do_execsql_test 4.5.73.2 {
+  SELECT sum(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW), 
+         sum(c) OVER (PARTITION BY b ORDER BY b, a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+  FROM ttt ORDER BY a
+} {1 1   2 2   3 3   3 3   5 5   7 7   6 6   9 9   12 12}
 
 finish_test

From e0a5e20fa8a08b32dee0539539a7c2164cda5944 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 15 Jun 2018 16:10:44 +0000
Subject: [PATCH 078/154] Fix a bug in the lead() and lag() window functions
 causing them to fail when used in queries featuring multiple window
 functions.

FossilOrigin-Name: 3839fb18f917e4f705821198d624b19d84eb07f1ee29ad23314ab7cec6bf6a2b
---
 manifest          | 18 +++++++++---------
 manifest.uuid     |  2 +-
 src/window.c      |  4 ++--
 test/window1.test | 12 +++++++++++-
 test/window4.tcl  | 43 +++++++++++++++++++++++++++++++++++++++++++
 test/window4.test | 43 +++++++++++++++++++++++++++++++++++++++++++
 6 files changed, 109 insertions(+), 13 deletions(-)

diff --git a/manifest b/manifest
index 648c77643c..43e3c8eb82 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\sproblem\swith\shandling\sof\sstatements\scontaining\stwo\sor\smore\sdifferent\nwindows.
-D 2018-06-14T20:52:08.656
+C Fix\sa\sbug\sin\sthe\slead()\sand\slag()\swindow\sfunctions\scausing\sthem\sto\sfail\swhen\nused\sin\squeries\sfeaturing\smultiple\swindow\sfunctions.
+D 2018-06-15T16:10:44.916
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -583,7 +583,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c 8d9999b2dd3c0d9fe49523480b20100478875eedf652bfc7811046f4db54c761
+F src/window.c 3c94dfffdfba99159cdd11bd972c7d7c0a23fa7e09135963e99e4d583e75e77f
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1617,13 +1617,13 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 68607fd4cfa24f5cdd6029a63a2a7c062042ff5787fa054aa5c0b006154fe183
+F test/window1.test fb076d9229d92bce9652fd676b1d942fe01601461e34ac138991464b5f3aec50
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
-F test/window4.tcl 9a04d14649ba625608a7b0ddd1640b41619632ee5550bdb772d466b628ede95a
-F test/window4.test 2959afeb5dc86c85711a80ad920f7f65d7d158d7bbce37bf2460c862b8c74de6
+F test/window4.tcl edacba69c2b0fb04afa26ea30c15e71c8f8d8b0895c6768f4cac43755d305951
+F test/window4.test c3e7e53d54d1ccaf22c9f6c43da7f11a54eb59c5d5c09bf5c3e16eeb7cb98546
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1740,7 +1740,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 43eb1e75a4d7ac0973ed8589bbaf379c24cdc8eacc4e613610d2d4c24d385dc1
-R 8fa685be6b05cccf51d69be1e42b3c72
+P 567e09ef2a8cd84a2481117e52595bed0f3b588745a9e441aae0f87680f3a2e8
+R e8ba8b73a2fd4c283cd2e0bbc79f1ce0
 U dan
-Z 5df8e391006a1a484745351d3ef4fda5
+Z cc3dd406dede77715a8840ea4818b97d
diff --git a/manifest.uuid b/manifest.uuid
index e8793de8a7..d8e4fcb2d5 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-567e09ef2a8cd84a2481117e52595bed0f3b588745a9e441aae0f87680f3a2e8
\ No newline at end of file
+3839fb18f917e4f705821198d624b19d84eb07f1ee29ad23314ab7cec6bf6a2b
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index babbf3f3ff..9431771465 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1108,7 +1108,7 @@ static void windowPartitionCache(
   if( pMWin->pPartition ){
     int addr;
     ExprList *pPart = pMWin->pPartition;
-    int nPart = (pPart ? pPart->nExpr : 0);
+    int nPart = pPart->nExpr;
     int regNewPart = reg + pMWin->nBufferCol;
     KeyInfo *pKeyInfo = sqlite3KeyInfoFromExprList(pParse, pPart, 0, 0);
 
@@ -1175,7 +1175,7 @@ static void windowReturnOneRow(
     }
     else if( pFunc->xSFunc==leadStepFunc || pFunc->xSFunc==lagStepFunc ){
       int nArg = pWin->pOwner->x.pList->nExpr;
-      int iEph = pWin->iEphCsr;
+      int iEph = pMWin->iEphCsr;
       int csr = pWin->csrApp;
       int lbl = sqlite3VdbeMakeLabel(v);
       int tmpReg = sqlite3GetTempReg(pParse);
diff --git a/test/window1.test b/test/window1.test
index 14edd0e031..2c99aa132b 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -250,11 +250,21 @@ do_catchsql_test 7.1.5 {
 do_catchsql_test 7.1.6 {
   SELECT trim(x) OVER (ORDER BY y) FROM t1;
 } {1 {trim() may not be used as a window function}}
-
 do_catchsql_test 7.1.7 {
   SELECT max(x) OVER abc FROM t1 WINDOW def AS (ORDER BY y);
 } {1 {no such window: abc}}
 
+do_execsql_test 7.2 {
+  SELECT 
+    lead(y) OVER win, 
+    lead(y, 2) OVER win, 
+    lead(y, 3, 'default') OVER win
+  FROM t1
+  WINDOW win AS (ORDER BY x)
+} {
+  4 6 8   6 8 10   8 10 default   10 {} default   {} {} default
+}
+
 
 finish_test
 
diff --git a/test/window4.tcl b/test/window4.tcl
index bb76d26f59..29c0a5585d 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -228,6 +228,49 @@ foreach o1 $lOrder { foreach o2 $lOrder {
   incr tn
 }}
 
+==========
+
+execsql_test 7.0 {
+  DROP TABLE IF EXISTS t1;
+  CREATE TABLE t1(x INTEGER, y INTEGER);
+  INSERT INTO t1 VALUES(1, 2);
+  INSERT INTO t1 VALUES(3, 4);
+  INSERT INTO t1 VALUES(5, 6);
+  INSERT INTO t1 VALUES(7, 8);
+  INSERT INTO t1 VALUES(9, 10);
+}
+
+execsql_test 7.1 {
+  SELECT lead(y) OVER win FROM t1
+  WINDOW win AS (ORDER BY x)
+}
+
+execsql_test 7.2 {
+  SELECT lead(y, 2) OVER win FROM t1
+  WINDOW win AS (ORDER BY x)
+}
+
+execsql_test 7.3 {
+  SELECT lead(y, 3, -1) OVER win FROM t1
+  WINDOW win AS (ORDER BY x)
+}
+
+execsql_test 7.4 {
+  SELECT 
+    lead(y) OVER win, lead(y) OVER win
+  FROM t1
+  WINDOW win AS (ORDER BY x)
+}
+
+execsql_test 7.5 {
+  SELECT 
+    lead(y) OVER win, 
+    lead(y, 2) OVER win, 
+    lead(y, 3, -1) OVER win
+  FROM t1
+  WINDOW win AS (ORDER BY x)
+}
+
 
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index a6f3a020c0..7e99f870f3 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -1123,4 +1123,47 @@ do_execsql_test 4.5.73.2 {
   FROM ttt ORDER BY a
 } {1 1   2 2   3 3   3 3   5 5   7 7   6 6   9 9   12 12}
 
+#==========================================================================
+
+do_execsql_test 7.0 {
+  DROP TABLE IF EXISTS t1;
+  CREATE TABLE t1(x INTEGER, y INTEGER);
+  INSERT INTO t1 VALUES(1, 2);
+  INSERT INTO t1 VALUES(3, 4);
+  INSERT INTO t1 VALUES(5, 6);
+  INSERT INTO t1 VALUES(7, 8);
+  INSERT INTO t1 VALUES(9, 10);
+} {}
+
+do_execsql_test 7.1 {
+  SELECT lead(y) OVER win FROM t1
+  WINDOW win AS (ORDER BY x)
+} {4   6   8   10   {}}
+
+do_execsql_test 7.2 {
+  SELECT lead(y, 2) OVER win FROM t1
+  WINDOW win AS (ORDER BY x)
+} {6   8   10   {}   {}}
+
+do_execsql_test 7.3 {
+  SELECT lead(y, 3, -1) OVER win FROM t1
+  WINDOW win AS (ORDER BY x)
+} {8   10   -1   -1   -1}
+
+do_execsql_test 7.4 {
+  SELECT 
+    lead(y) OVER win, lead(y) OVER win
+  FROM t1
+  WINDOW win AS (ORDER BY x)
+} {4 4   6 6   8 8   10 10   {} {}}
+
+do_execsql_test 7.5 {
+  SELECT 
+    lead(y) OVER win, 
+    lead(y, 2) OVER win, 
+    lead(y, 3, -1) OVER win
+  FROM t1
+  WINDOW win AS (ORDER BY x)
+} {4 6 8   6 8 10   8 10 -1   10 {} -1   {} {} -1}
+
 finish_test

From 6fde1799f88a1dd0de54f57bf9ba67af400a6cfc Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 15 Jun 2018 19:01:35 +0000
Subject: [PATCH 079/154] Fix another problem in lead()/lag(). And some errors
 that could occur following OOM faults.

FossilOrigin-Name: fadd4dc119d8df0d871f4d839b7a11070e2ffb8927e84b3e7a94f34196db3de3
---
 manifest              | 19 ++++++++--------
 manifest.uuid         |  2 +-
 src/parse.y           |  6 ++++-
 src/window.c          | 16 ++++++++++----
 test/window4.tcl      | 33 ++++++++++++++++++++++++++++
 test/window4.test     | 34 +++++++++++++++++++++++++++++
 test/windowfault.test | 51 +++++++++++++++++++++++++++++++++++++++++++
 7 files changed, 146 insertions(+), 15 deletions(-)
 create mode 100644 test/windowfault.test

diff --git a/manifest b/manifest
index 43e3c8eb82..bbd225f77b 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\sbug\sin\sthe\slead()\sand\slag()\swindow\sfunctions\scausing\sthem\sto\sfail\swhen\nused\sin\squeries\sfeaturing\smultiple\swindow\sfunctions.
-D 2018-06-15T16:10:44.916
+C Fix\sanother\sproblem\sin\slead()/lag().\sAnd\ssome\serrors\sthat\scould\soccur\nfollowing\sOOM\sfaults.
+D 2018-06-15T19:01:35.254
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 788f41e7558278423931dd0fdb1a4fb4657f451371d2f2c4b1d11824484c419f
+F src/parse.y 3b5e69c8a94fc59496fd90b9598bccfc2cee7f7bdce1e17d107a03d51caf1d4a
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -583,7 +583,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c 3c94dfffdfba99159cdd11bd972c7d7c0a23fa7e09135963e99e4d583e75e77f
+F src/window.c ffc0a18a6ef54a7ef2ebc1757016f20420e79615421cfcc3eab33bc7fa164d9e
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1622,8 +1622,9 @@ F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fb
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
-F test/window4.tcl edacba69c2b0fb04afa26ea30c15e71c8f8d8b0895c6768f4cac43755d305951
-F test/window4.test c3e7e53d54d1ccaf22c9f6c43da7f11a54eb59c5d5c09bf5c3e16eeb7cb98546
+F test/window4.tcl ce0c14185ba651de53994df8ac11da472b6bbd3534e148ad3ce87de6aa0426ed
+F test/window4.test 13b8cac12e78017d6c1873742efcb120f3d5b2debfdb412271bfb84969087037
+F test/windowfault.test bca3b1f1ae9191e10383a0656dc2a83de4accffe82789e14cde2add75014b2a9
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1740,7 +1741,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 567e09ef2a8cd84a2481117e52595bed0f3b588745a9e441aae0f87680f3a2e8
-R e8ba8b73a2fd4c283cd2e0bbc79f1ce0
+P 3839fb18f917e4f705821198d624b19d84eb07f1ee29ad23314ab7cec6bf6a2b
+R adaed58fd90921940e34c45d3932d470
 U dan
-Z cc3dd406dede77715a8840ea4818b97d
+Z c764ee39de01fb711121f341b2196d9e
diff --git a/manifest.uuid b/manifest.uuid
index d8e4fcb2d5..a0411a5455 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-3839fb18f917e4f705821198d624b19d84eb07f1ee29ad23314ab7cec6bf6a2b
\ No newline at end of file
+fadd4dc119d8df0d871f4d839b7a11070e2ffb8927e84b3e7a94f34196db3de3
\ No newline at end of file
diff --git a/src/parse.y b/src/parse.y
index fa6064a14f..6120533bdf 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -535,7 +535,11 @@ oneselect(A) ::= SELECT(S) distinct(D) selcollist(W) from(X) where_opt(Y)
   Token s = S; /*A-overwrites-S*/
 #endif
   A = sqlite3SelectNew(pParse,W,X,Y,P,Q,Z,D,L);
-  if( A ) A->pWinDefn = R;
+  if( A ){
+    A->pWinDefn = R;
+  }else{
+    sqlite3WindowListDelete(pParse->db, R);
+  }
 #if SELECTTRACE_ENABLED
   /* Populate the Select.zSelName[] string that is used to help with
   ** query planner debugging, to differentiate between multiple Select
diff --git a/src/window.c b/src/window.c
index 9431771465..845d67907a 100644
--- a/src/window.c
+++ b/src/window.c
@@ -392,7 +392,11 @@ static void last_valueStepFunc(
   if( p ){
     sqlite3_value_free(p->pVal);
     p->pVal = sqlite3_value_dup(apArg[0]);
-    p->nVal++;
+    if( p->pVal==0 ){
+      sqlite3_result_error_nomem(pCtx);
+    }else{
+      p->nVal++;
+    }
   }
 }
 static void last_valueInvFunc(
@@ -741,6 +745,7 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
         pParse, pSublist, pSrc, pWhere, pGroupBy, pHaving, pSort, 0, 0
     );
     p->pSrc = sqlite3SrcListAppend(db, 0, 0, 0);
+    assert( p->pSrc || db->mallocFailed );
     if( p->pSrc ){
       int iTab;
       ExprList *pList = 0;
@@ -753,9 +758,12 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
         p->selFlags &= ~SF_Aggregate;
         sqlite3SelectPrep(pParse, pSub, 0);
       }
-    }
 
-    sqlite3VdbeAddOp2(v, OP_OpenEphemeral, pMWin->iEphCsr, pSublist->nExpr);
+      sqlite3VdbeAddOp2(v, OP_OpenEphemeral, pMWin->iEphCsr, pSublist->nExpr);
+    }else{
+      sqlite3SelectDelete(db, pSub);
+    }
+    if( db->mallocFailed ) rc = SQLITE_NOMEM;
   }
 
   return rc;
@@ -1162,7 +1170,7 @@ static void windowReturnOneRow(
       sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
 
       if( pFunc->xSFunc==nth_valueStepFunc ){
-        sqlite3VdbeAddOp3(v, OP_Column, pWin->iEphCsr, pWin->iArgCol+1, tmpReg);
+        sqlite3VdbeAddOp3(v, OP_Column, pMWin->iEphCsr, pWin->iArgCol+1,tmpReg);
       }else{
         sqlite3VdbeAddOp2(v, OP_Integer, 1, tmpReg);
       }
diff --git a/test/window4.tcl b/test/window4.tcl
index 29c0a5585d..e75a3f5547 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -271,6 +271,39 @@ execsql_test 7.5 {
   WINDOW win AS (ORDER BY x)
 }
 
+==========
+
+execsql_test 8.0 {
+  DROP TABLE IF EXISTS t1;
+  CREATE TABLE t1(a INTEGER, b INTEGER, c INTEGER, d INTEGER);
+  INSERT INTO t1 VALUES(1, 2, 3, 4);
+  INSERT INTO t1 VALUES(5, 6, 7, 8);
+  INSERT INTO t1 VALUES(9, 10, 11, 12);
+}
+
+execsql_test 8.1 {
+  SELECT row_number() OVER win,
+         nth_value(d,2) OVER win,
+         lead(d) OVER win
+  FROM t1
+  WINDOW win AS (ORDER BY a)
+}
+
+execsql_test 8.2 {
+    SELECT row_number() OVER win,
+           rank() OVER win,
+           dense_rank() OVER win,
+           ntile(2) OVER win,
+           first_value(d) OVER win,
+           last_value(d) OVER win,
+           nth_value(d,2) OVER win,
+           lead(d) OVER win,
+           lag(d) OVER win,
+           max(d) OVER win,
+           min(d) OVER win
+    FROM t1
+    WINDOW win AS (ORDER BY a)
+}
 
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index 7e99f870f3..6bb8c715f1 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -1166,4 +1166,38 @@ do_execsql_test 7.5 {
   WINDOW win AS (ORDER BY x)
 } {4 6 8   6 8 10   8 10 -1   10 {} -1   {} {} -1}
 
+#==========================================================================
+
+do_execsql_test 8.0 {
+  DROP TABLE IF EXISTS t1;
+  CREATE TABLE t1(a INTEGER, b INTEGER, c INTEGER, d INTEGER);
+  INSERT INTO t1 VALUES(1, 2, 3, 4);
+  INSERT INTO t1 VALUES(5, 6, 7, 8);
+  INSERT INTO t1 VALUES(9, 10, 11, 12);
+} {}
+
+do_execsql_test 8.1 {
+  SELECT row_number() OVER win,
+         nth_value(d,2) OVER win,
+         lead(d) OVER win
+  FROM t1
+  WINDOW win AS (ORDER BY a)
+} {1 {} 8   2 8 12   3 8 {}}
+
+do_execsql_test 8.2 {
+  SELECT row_number() OVER win,
+           rank() OVER win,
+           dense_rank() OVER win,
+           ntile(2) OVER win,
+           first_value(d) OVER win,
+           last_value(d) OVER win,
+           nth_value(d,2) OVER win,
+           lead(d) OVER win,
+           lag(d) OVER win,
+           max(d) OVER win,
+           min(d) OVER win
+    FROM t1
+    WINDOW win AS (ORDER BY a)
+} {1 1 1 1 4 4 {} 8 {} 4 4   2 2 2 1 4 8 8 12 4 8 4   3 3 3 2 4 12 8 {} 8 12 4}
+
 finish_test
diff --git a/test/windowfault.test b/test/windowfault.test
new file mode 100644
index 0000000000..5df9dd8c27
--- /dev/null
+++ b/test/windowfault.test
@@ -0,0 +1,51 @@
+# 2018 May 8
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library.
+#
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+set testprefix windowfault
+
+
+do_execsql_test 1.0 {
+  CREATE TABLE t1(a, b, c, d);
+  INSERT INTO t1 VALUES(1, 2, 3, 4);
+  INSERT INTO t1 VALUES(5, 6, 7, 8);
+  INSERT INTO t1 VALUES(9, 10, 11, 12);
+}
+faultsim_save_and_close
+
+do_faultsim_test 1 -start 1 -faults oom-* -prep {
+  faultsim_restore_and_reopen
+} -body {
+  execsql {
+    SELECT row_number() OVER win,
+           rank() OVER win,
+           dense_rank() OVER win,
+           ntile(2) OVER win,
+           first_value(d) OVER win,
+           last_value(d) OVER win,
+           nth_value(d,2) OVER win,
+           lead(d) OVER win,
+           lag(d) OVER win,
+           max(d) OVER win,
+           min(d) OVER win
+    FROM t1
+    WINDOW win AS (ORDER BY a)
+  }
+} -test {
+  faultsim_test_result {0 {1 1 1 1 4 4 {} 8 {} 4 4 2 2 2 1 4 8 8 12 4 8 4 3 3 3 2 4 12 8 {} 8 12 4}}
+}
+
+
+finish_test
+

From 13b08bb6ff72ae078401150f68bb379a5525ecd0 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 15 Jun 2018 20:46:12 +0000
Subject: [PATCH 080/154] Add extra OOM test.

FossilOrigin-Name: ac251f72608c27c1512a0b3457524f5378a0b13d93d829cf0ed8bc178bc54a73
---
 manifest              | 16 ++++++++--------
 manifest.uuid         |  2 +-
 src/window.c          | 12 ++++--------
 test/window1.test     |  4 ++++
 test/windowfault.test | 12 ++++++++++++
 5 files changed, 29 insertions(+), 17 deletions(-)

diff --git a/manifest b/manifest
index bbd225f77b..be0313c98f 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sanother\sproblem\sin\slead()/lag().\sAnd\ssome\serrors\sthat\scould\soccur\nfollowing\sOOM\sfaults.
-D 2018-06-15T19:01:35.254
+C Add\sextra\sOOM\stest.
+D 2018-06-15T20:46:12.018
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
@@ -583,7 +583,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c ffc0a18a6ef54a7ef2ebc1757016f20420e79615421cfcc3eab33bc7fa164d9e
+F src/window.c d80ec071618365ed740495848c1ea05a674bf83c498acff10b3ab7a4209a37cc
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1617,14 +1617,14 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test fb076d9229d92bce9652fd676b1d942fe01601461e34ac138991464b5f3aec50
+F test/window1.test 3398c54113aedf04f4bf63ec22e8f30f87f6d56caa5e6313df0f7f1ee6d927e1
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
 F test/window4.tcl ce0c14185ba651de53994df8ac11da472b6bbd3534e148ad3ce87de6aa0426ed
 F test/window4.test 13b8cac12e78017d6c1873742efcb120f3d5b2debfdb412271bfb84969087037
-F test/windowfault.test bca3b1f1ae9191e10383a0656dc2a83de4accffe82789e14cde2add75014b2a9
+F test/windowfault.test 7d3655fcac44c903b1aa31d40e13d170c71b089551f0e6ed17b02f66fb731fb6
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1741,7 +1741,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 3839fb18f917e4f705821198d624b19d84eb07f1ee29ad23314ab7cec6bf6a2b
-R adaed58fd90921940e34c45d3932d470
+P fadd4dc119d8df0d871f4d839b7a11070e2ffb8927e84b3e7a94f34196db3de3
+R ac4dec8988017d1c9bddc25e0a619905
 U dan
-Z c764ee39de01fb711121f341b2196d9e
+Z 6a66cbb2264aaed6cff49821f754986b
diff --git a/manifest.uuid b/manifest.uuid
index a0411a5455..3ba860c5d2 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-fadd4dc119d8df0d871f4d839b7a11070e2ffb8927e84b3e7a94f34196db3de3
\ No newline at end of file
+ac251f72608c27c1512a0b3457524f5378a0b13d93d829cf0ed8bc178bc54a73
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 845d67907a..00f3f44c8b 100644
--- a/src/window.c
+++ b/src/window.c
@@ -627,7 +627,7 @@ static int selectWindowRewriteSelectCb(Walker *pWalker, Select *pSelect){
 ** pWin->iEphCsr, where N is the number of elements in (*ppSub) after
 ** appending the new one.
 */
-static int selectWindowRewriteEList(
+static void selectWindowRewriteEList(
   Parse *pParse, 
   Window *pWin,
   ExprList *pEList,               /* Rewrite expressions in this list */
@@ -635,7 +635,6 @@ static int selectWindowRewriteEList(
 ){
   Walker sWalker;
   WindowRewrite sRewrite;
-  int rc;
 
   memset(&sWalker, 0, sizeof(Walker));
   memset(&sRewrite, 0, sizeof(WindowRewrite));
@@ -648,10 +647,9 @@ static int selectWindowRewriteEList(
   sWalker.xSelectCallback = selectWindowRewriteSelectCb;
   sWalker.u.pRewrite = &sRewrite;
 
-  rc = sqlite3WalkExprList(&sWalker, pEList);
+  (void)sqlite3WalkExprList(&sWalker, pEList);
 
   *ppSub = sRewrite.pSub;
-  return rc;
 }
 
 /*
@@ -709,10 +707,8 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
     ** many columns the table will have.  */
     pMWin->iEphCsr = pParse->nTab++;
 
-    rc = selectWindowRewriteEList(pParse, pMWin, p->pEList, &pSublist);
-    if( rc ) return rc;
-    rc = selectWindowRewriteEList(pParse, pMWin, p->pOrderBy, &pSublist);
-    if( rc ) return rc;
+    selectWindowRewriteEList(pParse, pMWin, p->pEList, &pSublist);
+    selectWindowRewriteEList(pParse, pMWin, p->pOrderBy, &pSublist);
     pMWin->nBufferCol = (pSublist ? pSublist->nExpr : 0);
 
     /* Create the ORDER BY clause for the sub-select. This is the concatenation
diff --git a/test/window1.test b/test/window1.test
index 2c99aa132b..9c2a0a5583 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -265,6 +265,10 @@ do_execsql_test 7.2 {
   4 6 8   6 8 10   8 10 default   10 {} default   {} {} default
 }
 
+do_execsql_test 7.3 {
+  SELECT row_number() OVER (ORDER BY x) FROM t1
+} {1 2 3 4 5}
+
 
 finish_test
 
diff --git a/test/windowfault.test b/test/windowfault.test
index 5df9dd8c27..d185e9f913 100644
--- a/test/windowfault.test
+++ b/test/windowfault.test
@@ -46,6 +46,18 @@ do_faultsim_test 1 -start 1 -faults oom-* -prep {
   faultsim_test_result {0 {1 1 1 1 4 4 {} 8 {} 4 4 2 2 2 1 4 8 8 12 4 8 4 3 3 3 2 4 12 8 {} 8 12 4}}
 }
 
+do_faultsim_test 2 -faults oom-* -prep {
+  faultsim_restore_and_reopen
+} -body {
+  execsql {
+    SELECT min(d) OVER win, max(d) OVER win
+    FROM t1
+    WINDOW win AS (ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+  }
+} -test {
+  faultsim_test_result {0 {4 12 8 12 12 12}}
+}
+
 
 finish_test
 

From 660af939b00f8a8d44d67f0dce5824ee07750d45 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 18 Jun 2018 16:55:22 +0000
Subject: [PATCH 081/154] Add new API function
 sqlite3_create_window_function(), for creating new aggregate window
 functions.

FossilOrigin-Name: da03fb4318fd2613ec5c5b109a3974ac1120c19ed16bed4ca85bbdc4b35c998c
---
 Makefile.in       |   1 +
 Makefile.msc      |   1 +
 main.mk           |   1 +
 manifest          |  34 ++++----
 manifest.uuid     |   2 +-
 src/func.c        |   6 +-
 src/main.c        |  90 +++++++++++++++------
 src/sqlite.h.in   |  12 +++
 src/sqliteInt.h   |   5 +-
 src/test_tclsh.c  |   2 +
 src/test_window.c | 194 ++++++++++++++++++++++++++++++++++++++++++++++
 src/vdbe.c        |   1 +
 src/window.c      |  19 +----
 test/window1.test |   7 ++
 test/window5.test |  68 ++++++++++++++++
 15 files changed, 381 insertions(+), 62 deletions(-)
 create mode 100644 src/test_window.c
 create mode 100644 test/window5.test

diff --git a/Makefile.in b/Makefile.in
index 1757a049ac..8679a64173 100644
--- a/Makefile.in
+++ b/Makefile.in
@@ -419,6 +419,7 @@ TESTSRC = \
   $(TOP)/src/test_thread.c \
   $(TOP)/src/test_vfs.c \
   $(TOP)/src/test_windirent.c \
+  $(TOP)/src/test_window.c \
   $(TOP)/src/test_wsd.c       \
   $(TOP)/ext/fts3/fts3_term.c \
   $(TOP)/ext/fts3/fts3_test.c  \
diff --git a/Makefile.msc b/Makefile.msc
index d31c117f56..e423631fea 100644
--- a/Makefile.msc
+++ b/Makefile.msc
@@ -1479,6 +1479,7 @@ TESTSRC = \
   $(TOP)\src\test_thread.c \
   $(TOP)\src\test_vfs.c \
   $(TOP)\src\test_windirent.c \
+  $(TOP)\src\test_window.c \
   $(TOP)\src\test_wsd.c \
   $(TOP)\ext\fts3\fts3_term.c \
   $(TOP)\ext\fts3\fts3_test.c \
diff --git a/main.mk b/main.mk
index 0e46ed39c0..eb66473481 100644
--- a/main.mk
+++ b/main.mk
@@ -349,6 +349,7 @@ TESTSRC = \
   $(TOP)/src/test_thread.c \
   $(TOP)/src/test_vfs.c \
   $(TOP)/src/test_windirent.c \
+  $(TOP)/src/test_window.c \
   $(TOP)/src/test_wsd.c
 
 # Extensions to be statically loaded.
diff --git a/manifest b/manifest
index be0313c98f..ad8e07a530 100644
--- a/manifest
+++ b/manifest
@@ -1,10 +1,10 @@
-C Add\sextra\sOOM\stest.
-D 2018-06-15T20:46:12.018
+C Add\snew\sAPI\sfunction\ssqlite3_create_window_function(),\sfor\screating\snew\naggregate\swindow\sfunctions.
+D 2018-06-18T16:55:22.801
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
-F Makefile.in 498b77b89a8cb42f2ee20fcd6317f279a45c0d6ff40d27825f94b69884c09bbe
+F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
 F Makefile.linux-gcc 7bc79876b875010e8c8f9502eb935ca92aa3c434
-F Makefile.msc 0221c154ad20065906973f8fd4047346b995d31eaafd461383edca766f4282b6
+F Makefile.msc c1646e8f86c30ea63e56176deacef192ac87c663ce2c9083f459c45a7268934f
 F README.md 7764d56778d567913ef11c82da9ab94aefa0826f7c243351e4e2d7adaef6f373
 F VERSION d3e3afdec1165a5e593dcdfffd8e0f33a2b0186067eb51a073ef6c4aec34923d
 F aclocal.m4 a5c22d164aff7ed549d53a90fa56d56955281f50
@@ -417,7 +417,7 @@ F ext/userauth/userauth.c 3410be31283abba70255d71fd24734e017a4497f
 F install-sh 9d4de14ab9fb0facae2f48780b874848cbf2f895 x
 F ltmain.sh 3ff0879076df340d2e23ae905484d8c15d5fdea8
 F magic.txt 8273bf49ba3b0c8559cb2774495390c31fd61c60
-F main.mk 9cad63ffa8c6b782d35debe0ef933312a0ddc75fed35492c7fe29dbe9701647a
+F main.mk d9872d31efa4a02e177f6d43b7fdae2a5f822e50d1eb72907f6575a567b85378
 F mkso.sh fd21c06b063bb16a5d25deea1752c2da6ac3ed83
 F mptest/config01.test 3c6adcbc50b991866855f1977ff172eb6d901271
 F mptest/config02.test 4415dfe36c48785f751e16e32c20b077c28ae504
@@ -450,7 +450,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c 80c61121f3c87427e8c79a6ed0352e610e5a734508c2a094a6bf30ebca18ef1e
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c a5ee3864264edea8fea4d2dfdf8296250cff9139343953da78d82837241659a9
+F src/func.c f1c244ba44950d94d4c2298903d16ca7ae3183bcf07936a9e01ab4f3f10b53e2
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -459,7 +459,7 @@ F src/in-operator.md 10cd8f4bcd225a32518407c2fb2484089112fd71
 F src/insert.c bcacf6a0d277f8fa0e4f9ffecda544a2330ca4478f904cd89564c2dd86d0b16b
 F src/legacy.c 134ab3e3fae00a0f67a5187981d6935b24b337bcf0f4b3e5c9fa5763da95bf4e
 F src/loadext.c 6aae5739198d96c51ae6eb97c4a5b1744c22ed7a5a565a5399a717780d48a36b
-F src/main.c a086ab7d6e4e3f07bd5789d16f977d425f9482e7b3baeeb2f17bde0e6bfb2bc1
+F src/main.c f6f4f8be5baa6e0d44b0249c49b251f8749156896039cc7c64c3afaa25a64eaf
 F src/malloc.c 07295435093ce354c6d9063ac05a2eeae28bd251d2e63c48b3d67c12c76f7e18
 F src/mem0.c 6a55ebe57c46ca1a7d98da93aaa07f99f1059645
 F src/mem1.c c12a42539b1ba105e3707d0e628ad70e611040d8f5e38cf942cee30c867083de
@@ -497,10 +497,10 @@ F src/resolve.c a8cf3d6144f6a821f002dad72f80659691e827a96e6da6dedf8b263edefe3a80
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 7e8e439bf8bf732860566ccceebd57d934bf1aceca213c394d825dde60473f8e
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
-F src/sqlite.h.in 19de593baa0667854730e7b8bc2e3039c20ee80a4d537e9b5ec2038947fe3daf
+F src/sqlite.h.in 8dbfe617b70b01e661a9ba0b805facb1430df80096ea7508cf7903878b45e689
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 97525ef265cfca3cf39c87b73dd1e39f9260ee2f25fb0cee64bbbe26eb9f3888
+F src/sqliteInt.h 94c8db9e2bfc0f9bead6c3c4f8c6172c93274b13b6388a840b1820590f7a62b0
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -548,13 +548,14 @@ F src/test_server.c a2615049954cbb9cfb4a62e18e2f0616e4dc38fe
 F src/test_sqllog.c 11e6ce7575f489155c604ac4b439f2ac1d3d5aef
 F src/test_superlock.c 4839644b9201da822f181c5bc406c0b2385f672e
 F src/test_syscall.c 1073306ba2e9bfc886771871a13d3de281ed3939
-F src/test_tclsh.c 58052fe48efe8f579834f4648d239569f2efc6285f5019ebdf0040f58d16238d
+F src/test_tclsh.c 06317648b0d85a85fd823f7973b55535c59a3156c1ef59394fe511f932cfa78d
 F src/test_tclvar.c 33ff42149494a39c5fbb0df3d25d6fafb2f668888e41c0688d07273dcb268dfc
 F src/test_thread.c 911d15fb14e19c0c542bdc8aabf981c2f10a4858
 F src/test_vfs.c f0186261a24de2671d080bcd8050732f0cb64f6e
 F src/test_vfstrace.c bab9594adc976cbe696ff3970728830b4c5ed698
 F src/test_windirent.c a895e2c068a06644eef91a7f0a32182445a893b9a0f33d0cdb4283dca2486ac1
 F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a90484215
+F src/test_window.c 460361d710643823e54567073b780634d85b2fe54937d49de06c562d39e6cfb1
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
 F src/tokenize.c bbde32eac9eb1280f5292bcdfef66f5a57e43176cbf9347e0efab9f75e133f97
@@ -565,7 +566,7 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c 55bc870dcab52f7eac5a84d84e13e68122308997975d066f450a42c24d80df32
+F src/vdbe.c 16385bc816c97cc28c12ffa2151b8dc80617943b2e5871e7f0c9fdb4392c2c18
 F src/vdbe.h 9c8c245fa3785266c269ab02c135c836ff49a307612186686bcdae500f409945
 F src/vdbeInt.h d99f1c3da17b4ed271efc2f52898dd9a577dee077da47c2a014bc128f3cdba2a
 F src/vdbeapi.c af4a3de00d1851bcbc55b85dfbe52849aa2b1e17b4a5a1f3d9c257df7af361ff
@@ -583,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c d80ec071618365ed740495848c1ea05a674bf83c498acff10b3ab7a4209a37cc
+F src/window.c 7cd40b85402c84d89dfbbcc06700e4879673583ac33b487f172974a2c4cb6d41
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1617,13 +1618,14 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 3398c54113aedf04f4bf63ec22e8f30f87f6d56caa5e6313df0f7f1ee6d927e1
+F test/window1.test af17e84722f8a8d525912056c9d6c7ee215d5474d9a9ecd729b761279a3f924f
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
 F test/window4.tcl ce0c14185ba651de53994df8ac11da472b6bbd3534e148ad3ce87de6aa0426ed
 F test/window4.test 13b8cac12e78017d6c1873742efcb120f3d5b2debfdb412271bfb84969087037
+F test/window5.test c912f9dbcc92889fceef1d204077509c4839b5b34d1acf369f31f31827bed2c9
 F test/windowfault.test 7d3655fcac44c903b1aa31d40e13d170c71b089551f0e6ed17b02f66fb731fb6
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1741,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P fadd4dc119d8df0d871f4d839b7a11070e2ffb8927e84b3e7a94f34196db3de3
-R ac4dec8988017d1c9bddc25e0a619905
+P ac251f72608c27c1512a0b3457524f5378a0b13d93d829cf0ed8bc178bc54a73
+R 5e0493aa8c44623395101bd2a6083987
 U dan
-Z 6a66cbb2264aaed6cff49821f754986b
+Z b650c96a101f9d4fd4fed7a4c2d2087f
diff --git a/manifest.uuid b/manifest.uuid
index 3ba860c5d2..db963dcd94 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-ac251f72608c27c1512a0b3457524f5378a0b13d93d829cf0ed8bc178bc54a73
\ No newline at end of file
+da03fb4318fd2613ec5c5b109a3974ac1120c19ed16bed4ca85bbdc4b35c998c
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index f9903095d2..772276e783 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1771,10 +1771,10 @@ void sqlite3RegisterLikeFunctions(sqlite3 *db, int caseSensitive){
   }else{
     pInfo = (struct compareInfo*)&likeInfoNorm;
   }
-  sqlite3CreateFunc(db, "like", 2, SQLITE_UTF8, pInfo, likeFunc, 0, 0, 0);
-  sqlite3CreateFunc(db, "like", 3, SQLITE_UTF8, pInfo, likeFunc, 0, 0, 0);
+  sqlite3CreateFunc(db, "like", 2, SQLITE_UTF8, pInfo, likeFunc, 0, 0, 0, 0, 0);
+  sqlite3CreateFunc(db, "like", 3, SQLITE_UTF8, pInfo, likeFunc, 0, 0, 0, 0, 0);
   sqlite3CreateFunc(db, "glob", 2, SQLITE_UTF8, 
-      (struct compareInfo*)&globInfo, likeFunc, 0, 0, 0);
+      (struct compareInfo*)&globInfo, likeFunc, 0, 0, 0, 0, 0);
   setLikeOptFlag(db, "glob", SQLITE_FUNC_LIKE | SQLITE_FUNC_CASE);
   setLikeOptFlag(db, "like", 
       caseSensitive ? (SQLITE_FUNC_LIKE | SQLITE_FUNC_CASE) : SQLITE_FUNC_LIKE);
diff --git a/src/main.c b/src/main.c
index a2b994f9be..9f6061bea4 100644
--- a/src/main.c
+++ b/src/main.c
@@ -1683,6 +1683,8 @@ int sqlite3CreateFunc(
   void (*xSFunc)(sqlite3_context*,int,sqlite3_value **),
   void (*xStep)(sqlite3_context*,int,sqlite3_value **),
   void (*xFinal)(sqlite3_context*),
+  void (*xValue)(sqlite3_context*),
+  void (*xInverse)(sqlite3_context*,int,sqlite3_value **),
   FuncDestructor *pDestructor
 ){
   FuncDef *p;
@@ -1716,10 +1718,10 @@ int sqlite3CreateFunc(
   }else if( enc==SQLITE_ANY ){
     int rc;
     rc = sqlite3CreateFunc(db, zFunctionName, nArg, SQLITE_UTF8|extraFlags,
-         pUserData, xSFunc, xStep, xFinal, pDestructor);
+         pUserData, xSFunc, xStep, xFinal, xValue, xInverse, pDestructor);
     if( rc==SQLITE_OK ){
       rc = sqlite3CreateFunc(db, zFunctionName, nArg, SQLITE_UTF16LE|extraFlags,
-          pUserData, xSFunc, xStep, xFinal, pDestructor);
+          pUserData, xSFunc, xStep, xFinal, xValue, xInverse, pDestructor);
     }
     if( rc!=SQLITE_OK ){
       return rc;
@@ -1765,38 +1767,32 @@ int sqlite3CreateFunc(
   testcase( p->funcFlags & SQLITE_DETERMINISTIC );
   p->xSFunc = xSFunc ? xSFunc : xStep;
   p->xFinalize = xFinal;
+  p->xValue = xValue;
+  p->xInverse = xInverse;
   p->pUserData = pUserData;
   p->nArg = (u16)nArg;
   return SQLITE_OK;
 }
 
 /*
-** Create new user functions.
+** Worker function used by utf-8 APIs that create new functions:
+**
+**    sqlite3_create_function()
+**    sqlite3_create_function_v2()
+**    sqlite3_create_window_function()
 */
-int sqlite3_create_function(
+static int createFunctionApi(
   sqlite3 *db,
   const char *zFunc,
   int nArg,
   int enc,
   void *p,
-  void (*xSFunc)(sqlite3_context*,int,sqlite3_value **),
-  void (*xStep)(sqlite3_context*,int,sqlite3_value **),
-  void (*xFinal)(sqlite3_context*)
-){
-  return sqlite3_create_function_v2(db, zFunc, nArg, enc, p, xSFunc, xStep,
-                                    xFinal, 0);
-}
-
-int sqlite3_create_function_v2(
-  sqlite3 *db,
-  const char *zFunc,
-  int nArg,
-  int enc,
-  void *p,
-  void (*xSFunc)(sqlite3_context*,int,sqlite3_value **),
-  void (*xStep)(sqlite3_context*,int,sqlite3_value **),
+  void (*xSFunc)(sqlite3_context*,int,sqlite3_value**),
+  void (*xStep)(sqlite3_context*,int,sqlite3_value**),
   void (*xFinal)(sqlite3_context*),
-  void (*xDestroy)(void *)
+  void (*xValue)(sqlite3_context*),
+  void (*xInverse)(sqlite3_context*,int,sqlite3_value**),
+  void(*xDestroy)(void*)
 ){
   int rc = SQLITE_ERROR;
   FuncDestructor *pArg = 0;
@@ -1818,7 +1814,9 @@ int sqlite3_create_function_v2(
     pArg->xDestroy = xDestroy;
     pArg->pUserData = p;
   }
-  rc = sqlite3CreateFunc(db, zFunc, nArg, enc, p, xSFunc, xStep, xFinal, pArg);
+  rc = sqlite3CreateFunc(db, zFunc, nArg, enc, p, 
+      xSFunc, xStep, xFinal, xValue, xInverse, pArg
+  );
   if( pArg && pArg->nRef==0 ){
     assert( rc!=SQLITE_OK );
     xDestroy(p);
@@ -1831,6 +1829,52 @@ int sqlite3_create_function_v2(
   return rc;
 }
 
+/*
+** Create new user functions.
+*/
+int sqlite3_create_function(
+  sqlite3 *db,
+  const char *zFunc,
+  int nArg,
+  int enc,
+  void *p,
+  void (*xSFunc)(sqlite3_context*,int,sqlite3_value **),
+  void (*xStep)(sqlite3_context*,int,sqlite3_value **),
+  void (*xFinal)(sqlite3_context*)
+){
+  return createFunctionApi(db, zFunc, nArg, enc, p, xSFunc, xStep,
+                                    xFinal, 0, 0, 0);
+}
+int sqlite3_create_function_v2(
+  sqlite3 *db,
+  const char *zFunc,
+  int nArg,
+  int enc,
+  void *p,
+  void (*xSFunc)(sqlite3_context*,int,sqlite3_value **),
+  void (*xStep)(sqlite3_context*,int,sqlite3_value **),
+  void (*xFinal)(sqlite3_context*),
+  void (*xDestroy)(void *)
+){
+  return createFunctionApi(db, zFunc, nArg, enc, p, xSFunc, xStep,
+                                    xFinal, 0, 0, xDestroy);
+}
+int sqlite3_create_window_function(
+  sqlite3 *db,
+  const char *zFunc,
+  int nArg,
+  int enc,
+  void *p,
+  void (*xStep)(sqlite3_context*,int,sqlite3_value **),
+  void (*xFinal)(sqlite3_context*),
+  void (*xValue)(sqlite3_context*),
+  void (*xInverse)(sqlite3_context*,int,sqlite3_value **),
+  void (*xDestroy)(void *)
+){
+  return createFunctionApi(db, zFunc, nArg, enc, p, 0, xStep,
+                                    xFinal, xValue, xInverse, xDestroy);
+}
+
 #ifndef SQLITE_OMIT_UTF16
 int sqlite3_create_function16(
   sqlite3 *db,
@@ -1851,7 +1895,7 @@ int sqlite3_create_function16(
   sqlite3_mutex_enter(db->mutex);
   assert( !db->mallocFailed );
   zFunc8 = sqlite3Utf16to8(db, zFunctionName, -1, SQLITE_UTF16NATIVE);
-  rc = sqlite3CreateFunc(db, zFunc8, nArg, eTextRep, p, xSFunc,xStep,xFinal,0);
+  rc = sqlite3CreateFunc(db, zFunc8, nArg, eTextRep, p, xSFunc,xStep,xFinal,0,0,0);
   sqlite3DbFree(db, zFunc8);
   rc = sqlite3ApiExit(db, rc);
   sqlite3_mutex_leave(db->mutex);
diff --git a/src/sqlite.h.in b/src/sqlite.h.in
index 7d664177e4..9df546a262 100644
--- a/src/sqlite.h.in
+++ b/src/sqlite.h.in
@@ -4741,6 +4741,18 @@ int sqlite3_create_function_v2(
   void (*xFinal)(sqlite3_context*),
   void(*xDestroy)(void*)
 );
+int sqlite3_create_window_function(
+  sqlite3 *db,
+  const char *zFunctionName,
+  int nArg,
+  int eTextRep,
+  void *pApp,
+  void (*xStep)(sqlite3_context*,int,sqlite3_value**),
+  void (*xFinal)(sqlite3_context*),
+  void (*xValue)(sqlite3_context*),
+  void (*xInverse)(sqlite3_context*,int,sqlite3_value**),
+  void(*xDestroy)(void*)
+);
 
 /*
 ** CAPI3REF: Text Encodings
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index ce84441a13..61f4f924af 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -4244,7 +4244,10 @@ int sqlite3KeyInfoIsWriteable(KeyInfo*);
 #endif
 int sqlite3CreateFunc(sqlite3 *, const char *, int, int, void *,
   void (*)(sqlite3_context*,int,sqlite3_value **),
-  void (*)(sqlite3_context*,int,sqlite3_value **), void (*)(sqlite3_context*),
+  void (*)(sqlite3_context*,int,sqlite3_value **), 
+  void (*)(sqlite3_context*),
+  void (*)(sqlite3_context*),
+  void (*)(sqlite3_context*,int,sqlite3_value **), 
   FuncDestructor *pDestructor
 );
 void sqlite3NoopDestructor(void*);
diff --git a/src/test_tclsh.c b/src/test_tclsh.c
index 97f7f5d7a1..ff0ac5742f 100644
--- a/src/test_tclsh.c
+++ b/src/test_tclsh.c
@@ -105,6 +105,7 @@ const char *sqlite3TestInit(Tcl_Interp *interp){
   extern int Zipvfs_Init(Tcl_Interp*);
 #endif
   extern int TestExpert_Init(Tcl_Interp*);
+  extern int Sqlitetest_window_Init(Tcl_Interp *);
 
   Tcl_CmdInfo cmdInfo;
 
@@ -169,6 +170,7 @@ const char *sqlite3TestInit(Tcl_Interp *interp){
   Sqlitetestfts3_Init(interp);
 #endif
   TestExpert_Init(interp);
+  Sqlitetest_window_Init(interp);
 
   Tcl_CreateObjCommand(
       interp, "load_testfixture_extensions", load_testfixture_extensions,0,0
diff --git a/src/test_window.c b/src/test_window.c
new file mode 100644
index 0000000000..e04de5eb0c
--- /dev/null
+++ b/src/test_window.c
@@ -0,0 +1,194 @@
+/*
+** 2018 June 17
+**
+** The author disclaims copyright to this source code.  In place of
+** a legal notice, here is a blessing:
+**
+**    May you do good and not evil.
+**    May you find forgiveness for yourself and forgive others.
+**    May you share freely, never taking more than you give.
+**
+*************************************************************************
+*/
+
+#include "sqlite3.h"
+
+#ifdef SQLITE_TEST
+
+#include "sqliteInt.h"
+#include <tcl.h>
+
+extern int getDbPointer(Tcl_Interp *interp, const char *zA, sqlite3 **ppDb);
+extern const char *sqlite3ErrName(int);
+
+typedef struct TestWindow TestWindow;
+struct TestWindow {
+  Tcl_Obj *xStep;
+  Tcl_Obj *xFinal;
+  Tcl_Obj *xValue;
+  Tcl_Obj *xInverse;
+  Tcl_Interp *interp;
+};
+
+typedef struct TestWindowCtx TestWindowCtx;
+struct TestWindowCtx {
+  Tcl_Obj *pVal;
+};
+
+static void doTestWindowStep(
+  int bInverse,
+  sqlite3_context *ctx, 
+  int nArg, 
+  sqlite3_value **apArg
+){
+  int i;
+  TestWindow *p = (TestWindow*)sqlite3_user_data(ctx);
+  Tcl_Obj *pEval = Tcl_DuplicateObj(bInverse ? p->xInverse : p->xStep);
+  TestWindowCtx *pCtx = sqlite3_aggregate_context(ctx, sizeof(TestWindowCtx));
+
+  Tcl_IncrRefCount(pEval);
+  if( pCtx ){
+    const char *zResult;
+    int rc;
+    if( pCtx->pVal ){
+      Tcl_ListObjAppendElement(p->interp, pEval, Tcl_DuplicateObj(pCtx->pVal));
+    }else{
+      Tcl_ListObjAppendElement(p->interp, pEval, Tcl_NewStringObj("", -1));
+    }
+    for(i=0; i<nArg; i++){
+      Tcl_Obj *pArg;
+      pArg = Tcl_NewStringObj((const char*)sqlite3_value_text(apArg[i]), -1);
+      Tcl_ListObjAppendElement(p->interp, pEval, pArg);
+    }
+    rc = Tcl_EvalObjEx(p->interp, pEval, TCL_EVAL_GLOBAL);
+    if( rc!=TCL_OK ){
+      zResult = Tcl_GetStringResult(p->interp);
+      sqlite3_result_error(ctx, zResult, -1);
+    }else{
+      if( pCtx->pVal ) Tcl_DecrRefCount(pCtx->pVal);
+      pCtx->pVal = Tcl_DuplicateObj(Tcl_GetObjResult(p->interp));
+      Tcl_IncrRefCount(pCtx->pVal);
+    }
+  }
+  Tcl_DecrRefCount(pEval);
+}
+
+static void doTestWindowFinalize(int bValue, sqlite3_context *ctx){
+  TestWindow *p = (TestWindow*)sqlite3_user_data(ctx);
+  Tcl_Obj *pEval = Tcl_DuplicateObj(bValue ? p->xValue : p->xFinal);
+  TestWindowCtx *pCtx = sqlite3_aggregate_context(ctx, sizeof(TestWindowCtx));
+
+  Tcl_IncrRefCount(pEval);
+  if( pCtx ){
+    const char *zResult;
+    int rc;
+    if( pCtx->pVal ){
+      Tcl_ListObjAppendElement(p->interp, pEval, Tcl_DuplicateObj(pCtx->pVal));
+    }else{
+      Tcl_ListObjAppendElement(p->interp, pEval, Tcl_NewStringObj("", -1));
+    }
+
+    rc = Tcl_EvalObjEx(p->interp, pEval, TCL_EVAL_GLOBAL);
+    zResult = Tcl_GetStringResult(p->interp);
+    if( rc!=TCL_OK ){
+      sqlite3_result_error(ctx, zResult, -1);
+    }else{
+      sqlite3_result_text(ctx, zResult, -1, SQLITE_TRANSIENT);
+    }
+
+    if( bValue==0 ){
+      if( pCtx->pVal ) Tcl_DecrRefCount(pCtx->pVal);
+      pCtx->pVal = 0;
+    }
+  }
+  Tcl_DecrRefCount(pEval);
+}
+
+static void testWindowStep(
+  sqlite3_context *ctx, 
+  int nArg, 
+  sqlite3_value **apArg
+){
+  doTestWindowStep(0, ctx, nArg, apArg);
+}
+static void testWindowInverse(
+  sqlite3_context *ctx, 
+  int nArg, 
+  sqlite3_value **apArg
+){
+  doTestWindowStep(1, ctx, nArg, apArg);
+}
+
+static void testWindowFinal(sqlite3_context *ctx){
+  doTestWindowFinalize(0, ctx);
+}
+static void testWindowValue(sqlite3_context *ctx){
+  doTestWindowFinalize(1, ctx);
+}
+
+static void testWindowDestroy(void *pCtx){
+  ckfree(pCtx);
+}
+
+/*
+** Usage: sqlite3_create_window_function DB NAME XSTEP XFINAL XVALUE XINVERSE
+*/
+static int SQLITE_TCLAPI test_create_window(
+  void * clientData,
+  Tcl_Interp *interp,
+  int objc,
+  Tcl_Obj *CONST objv[]
+){
+  TestWindow *pNew;
+  sqlite3 *db;
+  const char *zName;
+  int rc;
+
+  if( objc!=7 ){
+    Tcl_WrongNumArgs(interp, 1, objv, "DB NAME XSTEP XFINAL XVALUE XINVERSE");
+    return TCL_ERROR;
+  }
+
+  if( getDbPointer(interp, Tcl_GetString(objv[1]), &db) ) return TCL_ERROR;
+  zName = Tcl_GetString(objv[2]);
+  pNew = ckalloc(sizeof(TestWindow));
+  memset(pNew, 0, sizeof(TestWindow));
+  pNew->xStep = Tcl_DuplicateObj(objv[3]);
+  pNew->xFinal = Tcl_DuplicateObj(objv[4]);
+  pNew->xValue = Tcl_DuplicateObj(objv[5]);
+  pNew->xInverse = Tcl_DuplicateObj(objv[6]);
+  pNew->interp = interp;
+
+  Tcl_IncrRefCount(pNew->xStep);
+  Tcl_IncrRefCount(pNew->xFinal);
+  Tcl_IncrRefCount(pNew->xValue);
+  Tcl_IncrRefCount(pNew->xInverse);
+
+  rc = sqlite3_create_window_function(db, zName, -1, SQLITE_UTF8, (void*)pNew,
+      testWindowStep, testWindowFinal, testWindowValue, testWindowInverse,
+      testWindowDestroy
+  );
+  if( rc!=SQLITE_OK ){
+    Tcl_SetObjResult(interp, Tcl_NewStringObj(sqlite3ErrName(rc), -1));
+    return TCL_ERROR;
+  }
+
+  return TCL_OK;
+}
+
+int Sqlitetest_window_Init(Tcl_Interp *interp){
+  static struct {
+     char *zName;
+     Tcl_ObjCmdProc *xProc;
+     int clientData;
+  } aObjCmd[] = {
+     { "sqlite3_create_window_function", test_create_window, 0 },
+  };
+  int i;
+  for(i=0; i<sizeof(aObjCmd)/sizeof(aObjCmd[0]); i++){
+    ClientData c = (ClientData)SQLITE_INT_TO_PTR(aObjCmd[i].clientData);
+    Tcl_CreateObjCommand(interp, aObjCmd[i].zName, aObjCmd[i].xProc, c, 0);
+  }
+  return TCL_OK;
+}
+#endif
diff --git a/src/vdbe.c b/src/vdbe.c
index e2db54dc13..2c8920ff44 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -6414,6 +6414,7 @@ case OP_AggFinal: {
   assert( (pMem->flags & ~(MEM_Null|MEM_Agg))==0 );
   if( pOp->p3 ){
     rc = sqlite3VdbeMemAggValue(pMem, &aMem[pOp->p3], pOp->p4.pFunc);
+    pMem = &aMem[pOp->p3];
   }else{
     rc = sqlite3VdbeMemFinalize(pMem, pOp->p4.pFunc);
   }
diff --git a/src/window.c b/src/window.c
index 00f3f44c8b..a61821847d 100644
--- a/src/window.c
+++ b/src/window.c
@@ -300,7 +300,7 @@ static void cume_distInvFunc(
 static void cume_distValueFunc(sqlite3_context *pCtx){
   struct CallCount *p;
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
-  if( p ){
+  if( p && p->nTotal ){
     double r = (double)(p->nStep) / (double)(p->nTotal);
     sqlite3_result_double(pCtx, r);
   }
@@ -684,7 +684,6 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
   int rc = SQLITE_OK;
   if( p->pWin ){
     Vdbe *v = sqlite3GetVdbe(pParse);
-    int i;
     sqlite3 *db = pParse->db;
     Select *pSub = 0;             /* The subquery */
     SrcList *pSrc = p->pSrc;
@@ -743,8 +742,6 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
     p->pSrc = sqlite3SrcListAppend(db, 0, 0, 0);
     assert( p->pSrc || db->mallocFailed );
     if( p->pSrc ){
-      int iTab;
-      ExprList *pList = 0;
       p->pSrc->a[0].pSelect = pSub;
       sqlite3SrcListAssignCursors(pParse, p->pSrc);
       if( sqlite3ExpandSubquery(pParse, &p->pSrc->a[0]) ){
@@ -1088,7 +1085,6 @@ static void windowPartitionCache(
 ){
   Window *pMWin = p->pWin;
   Vdbe *v = sqlite3GetVdbe(pParse);
-  Window *pWin;
   int iSubCsr = p->pSrc->a[0].iCursor;
   int nSub = p->pSrc->a[0].pTab->nCol;
   int k;
@@ -1410,30 +1406,20 @@ static void windowCodeRowExprStep(
 ){
   Window *pMWin = p->pWin;
   Vdbe *v = sqlite3GetVdbe(pParse);
-  Window *pWin;
-  int k;
-  int nSub = p->pSrc->a[0].pTab->nCol;
   int regFlushPart;               /* Register for "Gosub flush_partition" */
   int lblFlushPart;               /* Label for "Gosub flush_partition" */
   int lblFlushDone;               /* Label for "Gosub flush_partition_done" */
 
   int regArg;
-  int nArg;
   int addr;
   int csrStart = pParse->nTab++;
   int csrEnd = pParse->nTab++;
   int regStart;                    /* Value of <expr> PRECEDING */
   int regEnd;                      /* Value of <expr> FOLLOWING */
-  int addrNext;
   int addrGoto;
   int addrTop;
   int addrIfPos1;
   int addrIfPos2;
-
-  int regPeer = 0;                 /* Number of peers in current group */
-  int regPeerVal = 0;              /* Array of values identifying peer group */
-  int iPeer = 0;                   /* Column offset in eph-table of peer vals */
-  int nPeerVal;                    /* Number of peer values */
   int regSize = 0;
 
   assert( pMWin->eStart==TK_PRECEDING 
@@ -1679,7 +1665,6 @@ static void windowCodeCacheStep(
 ){
   Window *pMWin = p->pWin;
   Vdbe *v = sqlite3GetVdbe(pParse);
-  Window *pWin;
   int k;
   int addr;
   ExprList *pPart = pMWin->pPartition;
@@ -1695,7 +1680,6 @@ static void windowCodeCacheStep(
   int regCtr;
   int regArg;                     /* Register array to martial function args */
   int regSize;
-  int nArg;
   int lblEmpty;
   int bReverse = pMWin->pOrderBy && pMWin->eStart==TK_CURRENT 
           && pMWin->eEnd==TK_UNBOUNDED;
@@ -1822,7 +1806,6 @@ static void windowCodeDefaultStep(
 ){
   Window *pMWin = p->pWin;
   Vdbe *v = sqlite3GetVdbe(pParse);
-  Window *pWin;
   int k;
   int iSubCsr = p->pSrc->a[0].iCursor;
   int nSub = p->pSrc->a[0].pTab->nCol;
diff --git a/test/window1.test b/test/window1.test
index 9c2a0a5583..8daa97c1bd 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -269,6 +269,13 @@ do_execsql_test 7.3 {
   SELECT row_number() OVER (ORDER BY x) FROM t1
 } {1 2 3 4 5}
 
+do_execsql_test 7.4 {
+  SELECT 
+    row_number() OVER win,
+    lead(x) OVER win
+  FROM t1
+  WINDOW win AS (ORDER BY x ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+} {1 3  2 5  3 7  4 9   5 {}}
 
 finish_test
 
diff --git a/test/window5.test b/test/window5.test
new file mode 100644
index 0000000000..9f082f234f
--- /dev/null
+++ b/test/window5.test
@@ -0,0 +1,68 @@
+# 2018 May 8
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library. Specifically,
+# it tests the sqlite3_create_window_function() API.
+#
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+set testprefix window1
+
+proc m_step {ctx val} {
+  lappend ctx $val
+  return $ctx
+}
+proc m_value {ctx} {
+  set lSort [lsort $ctx]
+
+  set nVal [llength $lSort]
+  set n [expr $nVal/2]
+  
+  if {($nVal % 2)==0 && $nVal>0} {
+    set a [lindex $lSort $n]
+    set b [lindex $lSort $n-1]
+    if {($a+$b) % 2} {
+      set ret [expr ($a+$b)/2.0]
+    } else {
+      set ret [expr ($a+$b)/2]
+    }
+  } else {
+    set ret [lindex $lSort $n]
+  }
+  return $ret
+}
+proc m_inverse {ctx val} {
+  set ctx [lrange $ctx 1 end]
+  return $ctx
+}
+proc w_value {ctx} {
+  lsort $ctx
+}
+
+sqlite3_create_window_function db median m_step m_value m_value m_inverse
+sqlite3_create_window_function db win m_step w_value w_value m_inverse
+
+do_execsql_test 1.0 {
+  CREATE TABLE t1(a, b);
+  INSERT INTO t1 VALUES(4, 'a');
+  INSERT INTO t1 VALUES(6, 'b');
+  INSERT INTO t1 VALUES(1, 'c');
+  INSERT INTO t1 VALUES(5, 'd');
+  INSERT INTO t1 VALUES(2, 'e');
+  INSERT INTO t1 VALUES(3, 'f');
+}
+
+do_execsql_test 1.1 {
+  SELECT win(a) OVER (ORDER BY b), median(a) OVER (ORDER BY b) FROM t1;
+} {4 4  {4 6} 5  {1 4 6} 4  {1 4 5 6} 4.5  {1 2 4 5 6} 4 {1 2 3 4 5 6} 3.5}
+
+finish_test
+

From f87e10c75ebb107c98ebf441d0cc753ec2442a54 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 18 Jun 2018 17:36:41 +0000
Subject: [PATCH 082/154] Ensure that all four callbacks are provided when
 registering a window function (otherwise SQLITE_MISUSE is returned).

FossilOrigin-Name: 5720dcd8b111b1f8712c8fb4b441ccb129e838db8c26a6e9e0f095dc6a851f6b
---
 manifest          | 16 ++++++++--------
 manifest.uuid     |  2 +-
 src/main.c        |  1 +
 src/test_window.c | 44 ++++++++++++++++++++++++++++++++++++++++++++
 test/window5.test |  4 ++++
 5 files changed, 58 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index ad8e07a530..c63b27a0cc 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\snew\sAPI\sfunction\ssqlite3_create_window_function(),\sfor\screating\snew\naggregate\swindow\sfunctions.
-D 2018-06-18T16:55:22.801
+C Ensure\sthat\sall\sfour\scallbacks\sare\sprovided\swhen\sregistering\sa\swindow\sfunction\n(otherwise\sSQLITE_MISUSE\sis\sreturned).
+D 2018-06-18T17:36:41.529
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -459,7 +459,7 @@ F src/in-operator.md 10cd8f4bcd225a32518407c2fb2484089112fd71
 F src/insert.c bcacf6a0d277f8fa0e4f9ffecda544a2330ca4478f904cd89564c2dd86d0b16b
 F src/legacy.c 134ab3e3fae00a0f67a5187981d6935b24b337bcf0f4b3e5c9fa5763da95bf4e
 F src/loadext.c 6aae5739198d96c51ae6eb97c4a5b1744c22ed7a5a565a5399a717780d48a36b
-F src/main.c f6f4f8be5baa6e0d44b0249c49b251f8749156896039cc7c64c3afaa25a64eaf
+F src/main.c 0087639013e4b62ce16a92e4b0cb6127876224fadeea72016396626078dc8736
 F src/malloc.c 07295435093ce354c6d9063ac05a2eeae28bd251d2e63c48b3d67c12c76f7e18
 F src/mem0.c 6a55ebe57c46ca1a7d98da93aaa07f99f1059645
 F src/mem1.c c12a42539b1ba105e3707d0e628ad70e611040d8f5e38cf942cee30c867083de
@@ -555,7 +555,7 @@ F src/test_vfs.c f0186261a24de2671d080bcd8050732f0cb64f6e
 F src/test_vfstrace.c bab9594adc976cbe696ff3970728830b4c5ed698
 F src/test_windirent.c a895e2c068a06644eef91a7f0a32182445a893b9a0f33d0cdb4283dca2486ac1
 F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a90484215
-F src/test_window.c 460361d710643823e54567073b780634d85b2fe54937d49de06c562d39e6cfb1
+F src/test_window.c cb66fcaf77d916544f64a59e624c7ce9f673be454843c63a07d3dc0505b83580
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
 F src/tokenize.c bbde32eac9eb1280f5292bcdfef66f5a57e43176cbf9347e0efab9f75e133f97
@@ -1625,7 +1625,7 @@ F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672
 F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
 F test/window4.tcl ce0c14185ba651de53994df8ac11da472b6bbd3534e148ad3ce87de6aa0426ed
 F test/window4.test 13b8cac12e78017d6c1873742efcb120f3d5b2debfdb412271bfb84969087037
-F test/window5.test c912f9dbcc92889fceef1d204077509c4839b5b34d1acf369f31f31827bed2c9
+F test/window5.test fbf14119adb71a2640ec876436c5cc0c304a72f863bff41673c413a2a194646b
 F test/windowfault.test 7d3655fcac44c903b1aa31d40e13d170c71b089551f0e6ed17b02f66fb731fb6
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P ac251f72608c27c1512a0b3457524f5378a0b13d93d829cf0ed8bc178bc54a73
-R 5e0493aa8c44623395101bd2a6083987
+P da03fb4318fd2613ec5c5b109a3974ac1120c19ed16bed4ca85bbdc4b35c998c
+R 505b651a8de9b2f900040d7de80574dc
 U dan
-Z b650c96a101f9d4fd4fed7a4c2d2087f
+Z df8b31cd85e7749a47751056b05d5961
diff --git a/manifest.uuid b/manifest.uuid
index db963dcd94..94acbf53fc 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-da03fb4318fd2613ec5c5b109a3974ac1120c19ed16bed4ca85bbdc4b35c998c
\ No newline at end of file
+5720dcd8b111b1f8712c8fb4b441ccb129e838db8c26a6e9e0f095dc6a851f6b
\ No newline at end of file
diff --git a/src/main.c b/src/main.c
index 9f6061bea4..78a8d61aa3 100644
--- a/src/main.c
+++ b/src/main.c
@@ -1696,6 +1696,7 @@ int sqlite3CreateFunc(
       (xSFunc && (xFinal || xStep)) || 
       (!xSFunc && (xFinal && !xStep)) ||
       (!xSFunc && (!xFinal && xStep)) ||
+      ((xValue || xInverse) && (!xStep || !xFinal || !xValue || !xInverse)) ||
       (nArg<-1 || nArg>SQLITE_MAX_FUNCTION_ARG) ||
       (255<(nName = sqlite3Strlen30( zFunctionName))) ){
     return SQLITE_MISUSE_BKPT;
diff --git a/src/test_window.c b/src/test_window.c
index e04de5eb0c..31dcb8e1e0 100644
--- a/src/test_window.c
+++ b/src/test_window.c
@@ -176,6 +176,49 @@ static int SQLITE_TCLAPI test_create_window(
   return TCL_OK;
 }
 
+static int SQLITE_TCLAPI test_create_window_misuse(
+  void * clientData,
+  Tcl_Interp *interp,
+  int objc,
+  Tcl_Obj *CONST objv[]
+){
+  sqlite3 *db;
+  int rc;
+
+  if( objc!=2 ){
+    Tcl_WrongNumArgs(interp, 1, objv, "DB");
+    return TCL_ERROR;
+  }
+  if( getDbPointer(interp, Tcl_GetString(objv[1]), &db) ) return TCL_ERROR;
+
+  rc = sqlite3_create_window_function(db, "fff", -1, SQLITE_UTF8, 0,
+      0, testWindowFinal, testWindowValue, testWindowInverse,
+      0
+  );
+  if( rc!=SQLITE_MISUSE ) goto error;
+  rc = sqlite3_create_window_function(db, "fff", -1, SQLITE_UTF8, 0,
+      testWindowStep, 0, testWindowValue, testWindowInverse,
+      0
+  );
+  if( rc!=SQLITE_MISUSE ) goto error;
+  rc = sqlite3_create_window_function(db, "fff", -1, SQLITE_UTF8, 0,
+      testWindowStep, testWindowFinal, 0, testWindowInverse,
+      0
+  );
+  if( rc!=SQLITE_MISUSE ) goto error;
+  rc = sqlite3_create_window_function(db, "fff", -1, SQLITE_UTF8, 0,
+      testWindowStep, testWindowFinal, testWindowValue, 0,
+      0
+  );
+  if( rc!=SQLITE_MISUSE ) goto error;
+
+  return TCL_OK;
+
+ error:
+  Tcl_SetObjResult(interp, Tcl_NewStringObj("misuse test error", -1));
+  return TCL_ERROR;
+}
+
 int Sqlitetest_window_Init(Tcl_Interp *interp){
   static struct {
      char *zName;
@@ -183,6 +226,7 @@ int Sqlitetest_window_Init(Tcl_Interp *interp){
      int clientData;
   } aObjCmd[] = {
      { "sqlite3_create_window_function", test_create_window, 0 },
+     { "test_create_window_function_misuse", test_create_window_misuse, 0 },
   };
   int i;
   for(i=0; i<sizeof(aObjCmd)/sizeof(aObjCmd[0]); i++){
diff --git a/test/window5.test b/test/window5.test
index 9f082f234f..a09f4e2396 100644
--- a/test/window5.test
+++ b/test/window5.test
@@ -50,6 +50,10 @@ proc w_value {ctx} {
 sqlite3_create_window_function db median m_step m_value m_value m_inverse
 sqlite3_create_window_function db win m_step w_value w_value m_inverse
 
+do_test 0.0 {
+  test_create_window_function_misuse db
+} {}
+
 do_execsql_test 1.0 {
   CREATE TABLE t1(a, b);
   INSERT INTO t1 VALUES(4, 'a');

From 5bce7d8f6c3aebc6db61e2bf0574eeb0258d6123 Mon Sep 17 00:00:00 2001
From: mistachkin <mistachkin@noemail.net>
Date: Mon, 18 Jun 2018 19:09:30 +0000
Subject: [PATCH 083/154] Fix typo in the 'normalize' extension.

FossilOrigin-Name: 0c9163ea232d4008105939910565b0d1e533cbb38067d7900dc732b911786d37
---
 ext/misc/normalize.c |  2 +-
 manifest             | 14 +++++++-------
 manifest.uuid        |  2 +-
 3 files changed, 9 insertions(+), 9 deletions(-)

diff --git a/ext/misc/normalize.c b/ext/misc/normalize.c
index fd656f1303..5997ec12e2 100644
--- a/ext/misc/normalize.c
+++ b/ext/misc/normalize.c
@@ -593,7 +593,7 @@ char *sqlite3_normalize(const char *zSql){
     }
   }
   while( j>0 && z[j-1]==' ' ){ j--; }
-  if( i>0 && z[j-1]!=';' ){ z[j++] = ';'; }
+  if( j>0 && z[j-1]!=';' ){ z[j++] = ';'; }
   z[j] = 0;
 
   /* Make a second pass converting "in(...)" where the "..." is not a
diff --git a/manifest b/manifest
index c3e1711383..900090832d 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Output\sinfinity\sas\s1e999\sin\sthe\s".dump"\scommand\sof\sthe\scommand-line\sshell.
-D 2018-06-13T17:19:20.239
+C Fix\stypo\sin\sthe\s'normalize'\sextension.
+D 2018-06-18T19:09:30.196
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -285,7 +285,7 @@ F ext/misc/json1.c 02f5f0d9c131df79f4ee168d2b426f0f0d273b7771fc0bb5293c4e7692d9a
 F ext/misc/memvfs.c ab36f49e02ebcdf85a1e08dc4d8599ea8f343e073ac9e0bca18a98b7e1ec9567
 F ext/misc/mmapwarm.c 70b618f2d0bde43fae288ad0b7498a629f2b6f61b50a27e06fae3cd23c83af29
 F ext/misc/nextchar.c 35c8b8baacb96d92abbb34a83a997b797075b342
-F ext/misc/normalize.c 19262ef3ef29d4de2f281b423326865c8916c63d0cb09f1dc98d24d5c1e8ba64
+F ext/misc/normalize.c b4290464f542bae7a97b43f15bd197949b833ffd668b7c313631bd5d4610212c
 F ext/misc/percentile.c 92699c8cd7d517ff610e6037e56506f8904dae2e
 F ext/misc/regexp.c a68d25c659bd2d893cd1215667bbf75ecb9dc7d4
 F ext/misc/remember.c add730f0f7e7436cd15ea3fd6a90fd83c3f706ab44169f7f048438b7d6baa69c
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P f76dc33bde4b2180b935d1261492d9535772ed37e54489c1a33e9f11c7c90433
-R cf377e6954b0f56a42545b5a437be0b1
-U drh
-Z e707adfe00192f8b9a5f1cf3f642b5c6
+P ee431d55eba618cfba414c3946b3162bc205a70dd4e43d74a7623be332b94c92
+R 8ccc7e6cf168963494171d051d6ca8e3
+U mistachkin
+Z 3f8e5d591cbbba9e6925f53475d59dd8
diff --git a/manifest.uuid b/manifest.uuid
index 6ac44a56c4..0ef402bfe8 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-ee431d55eba618cfba414c3946b3162bc205a70dd4e43d74a7623be332b94c92
\ No newline at end of file
+0c9163ea232d4008105939910565b0d1e533cbb38067d7900dc732b911786d37
\ No newline at end of file

From 3a6b258ec3ae1915b5a46fcf4d012df77187faea Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 18 Jun 2018 20:08:08 +0000
Subject: [PATCH 084/154] Add test case for the fix in the previous commit.

FossilOrigin-Name: 39434262d5cf1af197ce0abb1f1ee84ee0797823e290a493c5bf8376fbe287a6
---
 manifest            | 14 +++++++-------
 manifest.uuid       |  2 +-
 test/normalize.test |  3 +++
 3 files changed, 11 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 900090832d..5aca15b699 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\stypo\sin\sthe\s'normalize'\sextension.
-D 2018-06-18T19:09:30.196
+C Add\stest\scase\sfor\sthe\sfix\sin\sthe\sprevious\scommit.
+D 2018-06-18T20:08:08.076
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -1109,7 +1109,7 @@ F test/mutex2.test bfeaeac2e73095b2ac32285d2756e3a65e681660
 F test/nan.test 437d40e6d0778b050d7750726c0cbd2c9936b81962926e8f8c48ca698f00f4d1
 F test/nockpt.test 8c43b25af63b0bd620cf1b003529e37b6f1dc53bd22690e96a1bd73f78dde53a
 F test/nolock.test f196cf8b8fbea4e2ca345140a2b3f3b0da45c76e
-F test/normalize.test 501630ab49b0b26b65c74124bf03e3374c1b57fa97aae750f84803609141d167
+F test/normalize.test 1dedf653ca33b0b55fd0c7967d2861a51f1801a7aa899a02d4c0d7adfcd5acdc
 F test/notify1.test 669b2b743618efdc18ca4b02f45423d5d2304abf
 F test/notify2.test 2ecabaa1305083856b7c39cf32816b612740c161
 F test/notify3.test 10ff25cde502e72a92053a2f215d64bece4ef934
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P ee431d55eba618cfba414c3946b3162bc205a70dd4e43d74a7623be332b94c92
-R 8ccc7e6cf168963494171d051d6ca8e3
-U mistachkin
-Z 3f8e5d591cbbba9e6925f53475d59dd8
+P 0c9163ea232d4008105939910565b0d1e533cbb38067d7900dc732b911786d37
+R 828bc1b54e5f114a82b36238956b6c68
+U dan
+Z a2649c28c10e52fc0b8009ae076970c3
diff --git a/manifest.uuid b/manifest.uuid
index 0ef402bfe8..4851ff7a3b 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-0c9163ea232d4008105939910565b0d1e533cbb38067d7900dc732b911786d37
\ No newline at end of file
+39434262d5cf1af197ce0abb1f1ee84ee0797823e290a493c5bf8376fbe287a6
\ No newline at end of file
diff --git a/test/normalize.test b/test/normalize.test
index 8932650c83..9e3ec9c967 100644
--- a/test/normalize.test
+++ b/test/normalize.test
@@ -65,6 +65,9 @@ foreach {tnum sql norm} {
   {/* IN list exactly 5 bytes long */
    SELECT * FROM t1 WHERE x IN (1,2,3);}
   {select*from t1 where x in(?,?,?);}
+  180
+  {    }
+  {}
 } {
   do_test $tnum [list sqlite3_normalize $sql] $norm
 }

From c95f38d45636435b6cdbe4eb72fc5342ee1deceb Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 18 Jun 2018 20:34:43 +0000
Subject: [PATCH 085/154] Fix problems with using window functions in CREATE
 VIEW statements.

FossilOrigin-Name: 943bccd2a6bd4cf3e0534c1fa46885bfa2ba7b780ddcdff9f1ea4cbb3f04e786
---
 manifest          | 18 +++++++++---------
 manifest.uuid     |  2 +-
 src/expr.c        |  6 +++---
 src/sqliteInt.h   |  1 +
 src/window.c      | 23 ++++++++++++++++++++++-
 test/window1.test | 42 ++++++++++++++++++++++++++++++++++++++++++
 6 files changed, 78 insertions(+), 14 deletions(-)

diff --git a/manifest b/manifest
index c63b27a0cc..4bcd7dd5e8 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Ensure\sthat\sall\sfour\scallbacks\sare\sprovided\swhen\sregistering\sa\swindow\sfunction\n(otherwise\sSQLITE_MISUSE\sis\sreturned).
-D 2018-06-18T17:36:41.529
+C Fix\sproblems\swith\susing\swindow\sfunctions\sin\sCREATE\sVIEW\sstatements.
+D 2018-06-18T20:34:43.117
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -447,7 +447,7 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 4aa7f26198934dbd002e69418220eae3dbc71b010bbac32bd78faf86b52ce6c3
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
-F src/expr.c 80c61121f3c87427e8c79a6ed0352e610e5a734508c2a094a6bf30ebca18ef1e
+F src/expr.c 02e1fb65a7154e8e224cc50828472a336f01f98b6ae09467fe936e2a154d3433
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
 F src/func.c f1c244ba44950d94d4c2298903d16ca7ae3183bcf07936a9e01ab4f3f10b53e2
@@ -500,7 +500,7 @@ F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadf
 F src/sqlite.h.in 8dbfe617b70b01e661a9ba0b805facb1430df80096ea7508cf7903878b45e689
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 94c8db9e2bfc0f9bead6c3c4f8c6172c93274b13b6388a840b1820590f7a62b0
+F src/sqliteInt.h 6080a69e0f994f588edb89f59a65711804fd29349e74bae0bfa9e5db6fdf120e
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c 7cd40b85402c84d89dfbbcc06700e4879673583ac33b487f172974a2c4cb6d41
+F src/window.c 32a747702eed5cfb2184f8932d93d5a0688ab48076bc3c7ac90325647bc72304
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1618,7 +1618,7 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test af17e84722f8a8d525912056c9d6c7ee215d5474d9a9ecd729b761279a3f924f
+F test/window1.test f6624f97903a0222722d1766e8e532fdc7845cde14f29a1d465978c2e4b1bb87
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P da03fb4318fd2613ec5c5b109a3974ac1120c19ed16bed4ca85bbdc4b35c998c
-R 505b651a8de9b2f900040d7de80574dc
+P 5720dcd8b111b1f8712c8fb4b441ccb129e838db8c26a6e9e0f095dc6a851f6b
+R 6e5da45464aff0125995ddaf37c7d2ce
 U dan
-Z df8b31cd85e7749a47751056b05d5961
+Z e83fb6fe2c3abd6b6a47ea2ddd2f633a
diff --git a/manifest.uuid b/manifest.uuid
index 94acbf53fc..6f9a386c3a 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-5720dcd8b111b1f8712c8fb4b441ccb129e838db8c26a6e9e0f095dc6a851f6b
\ No newline at end of file
+943bccd2a6bd4cf3e0534c1fa46885bfa2ba7b780ddcdff9f1ea4cbb3f04e786
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index a5a0b7403d..196942673e 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -1116,7 +1116,7 @@ static int exprStructSize(Expr *p){
 ** Note that with flags==EXPRDUP_REDUCE, this routines works on full-size
 ** (unreduced) Expr objects as they or originally constructed by the parser.
 ** During expression analysis, extra information is computed and moved into
-** later parts of teh Expr object and that extra information might get chopped
+** later parts of the Expr object and that extra information might get chopped
 ** off if the expression is reduced.  Note also that it does not work to
 ** make an EXPRDUP_REDUCE copy of a reduced expression.  It is only legal
 ** to reduce a pristine expression tree from the parser.  The implementation
@@ -1128,7 +1128,7 @@ static int dupedExprStructSize(Expr *p, int flags){
   assert( flags==EXPRDUP_REDUCE || flags==0 ); /* Only one flag value allowed */
   assert( EXPR_FULLSIZE<=0xfff );
   assert( (0xfff & (EP_Reduced|EP_TokenOnly))==0 );
-  if( 0==flags || p->op==TK_SELECT_COLUMN ){
+  if( 0==flags || p->op==TK_SELECT_COLUMN || p->pWin ){
     nSize = EXPR_FULLSIZE;
   }else{
     assert( !ExprHasProperty(p, EP_TokenOnly|EP_Reduced) );
@@ -1480,7 +1480,7 @@ Select *sqlite3SelectDup(sqlite3 *db, Select *pDup, int flags){
     pNew->nSelectRow = p->nSelectRow;
     pNew->pWith = withDup(db, p->pWith);
     pNew->pWin = 0;
-    pNew->pWinDefn = 0;           /* TODO!! */
+    pNew->pWinDefn = sqlite3WindowListDup(db, p->pWinDefn);
     sqlite3SelectSetName(pNew, p->zSelName);
     *pp = pNew;
     pp = &pNew->pPrior;
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 61f4f924af..d297af7005 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -3528,6 +3528,7 @@ int sqlite3WindowRewrite(Parse*, Select*);
 int sqlite3ExpandSubquery(Parse*, struct SrcList_item*);
 void sqlite3WindowUpdate(Parse*, Window*, Window*, FuncDef*);
 Window *sqlite3WindowDup(sqlite3 *db, Expr *pOwner, Window *p);
+Window *sqlite3WindowListDup(sqlite3 *db, Window *p);
 void sqlite3WindowFunctions(void);
 
 /*
diff --git a/src/window.c b/src/window.c
index a61821847d..9d5cadcdd1 100644
--- a/src/window.c
+++ b/src/window.c
@@ -503,7 +503,7 @@ void sqlite3WindowUpdate(
   Window *pWin,                   /* Window frame to update */
   FuncDef *pFunc                  /* Window function definition */
 ){
-  if( pWin->zName ){
+  if( pWin->zName && pWin->eType==0 ){
     Window *p;
     for(p=pList; p; p=p->pNextWin){
       if( sqlite3StrICmp(p->zName, pWin->zName)==0 ) break;
@@ -518,6 +518,7 @@ void sqlite3WindowUpdate(
     pWin->pEnd = sqlite3ExprDup(pParse->db, p->pEnd, 0);
     pWin->eStart = p->eStart;
     pWin->eEnd = p->eEnd;
+    pWin->eType = p->eType;
   }
   if( pFunc->funcFlags & SQLITE_FUNC_WINDOW ){
     sqlite3 *db = pParse->db;
@@ -800,6 +801,7 @@ Window *sqlite3WindowAlloc(
   Window *pWin = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
 
   if( pWin ){
+    assert( eType );
     pWin->eType = eType;
     pWin->eStart = eStart;
     pWin->eEnd = eEnd;
@@ -1918,6 +1920,7 @@ Window *sqlite3WindowDup(sqlite3 *db, Expr *pOwner, Window *p){
   if( p ){
     pNew = sqlite3DbMallocZero(db, sizeof(Window));
     if( pNew ){
+      pNew->zName = sqlite3DbStrDup(db, p->zName);
       pNew->pFilter = sqlite3ExprDup(db, p->pFilter, 0);
       pNew->pPartition = sqlite3ExprListDup(db, p->pPartition, 0);
       pNew->pOrderBy = sqlite3ExprListDup(db, p->pOrderBy, 0);
@@ -1932,6 +1935,24 @@ Window *sqlite3WindowDup(sqlite3 *db, Expr *pOwner, Window *p){
   return pNew;
 }
 
+/*
+** Return a copy of the linked list of Window objects passed as the
+** second argument.
+*/
+Window *sqlite3WindowListDup(sqlite3 *db, Window *p){
+  Window *pWin;
+  Window *pRet = 0;
+  Window **pp = &pRet;
+
+  for(pWin=p; pWin; pWin=pWin->pNextWin){
+    *pp = sqlite3WindowDup(db, 0, pWin);
+    if( *pp==0 ) break;
+    pp = &((*pp)->pNextWin);
+  }
+
+  return pRet;
+}
+
 /*
 ** sqlite3WhereBegin() has already been called for the SELECT statement 
 ** passed as the second argument when this function is invoked. It generates
diff --git a/test/window1.test b/test/window1.test
index 8daa97c1bd..ad486f68f1 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -269,6 +269,7 @@ do_execsql_test 7.3 {
   SELECT row_number() OVER (ORDER BY x) FROM t1
 } {1 2 3 4 5}
 
+breakpoint
 do_execsql_test 7.4 {
   SELECT 
     row_number() OVER win,
@@ -277,5 +278,46 @@ do_execsql_test 7.4 {
   WINDOW win AS (ORDER BY x ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
 } {1 3  2 5  3 7  4 9   5 {}}
 
+#-------------------------------------------------------------------------
+# Attempt to use a window function in a view.
+#
+do_execsql_test 8.0 {
+  CREATE TABLE t3(a, b, c);
+
+  WITH s(i) AS ( VALUES(1) UNION ALL SELECT i+1 FROM s WHERE i<6 )
+  INSERT INTO t3 SELECT i, i, i FROM s;
+
+  CREATE VIEW v1 AS SELECT
+    sum(b) OVER (ORDER BY c),
+    min(b) OVER (ORDER BY c),
+    max(b) OVER (ORDER BY c)
+  FROM t3;
+
+  CREATE VIEW v2 AS SELECT
+    sum(b) OVER win,
+    min(b) OVER win,
+    max(b) OVER win
+  FROM t3
+  WINDOW win AS (ORDER BY c);
+}
+
+do_execsql_test 8.1.1 {
+  SELECT * FROM v1
+} {1 1 1  3 1 2  6 1 3  10 1 4  15 1 5  21 1 6}
+do_execsql_test 8.1.2 {
+  SELECT * FROM v2
+} {1 1 1  3 1 2  6 1 3  10 1 4  15 1 5  21 1 6}
+
+db close
+sqlite3 db test.db
+do_execsql_test 8.2.1 {
+  SELECT * FROM v1
+} {1 1 1  3 1 2  6 1 3  10 1 4  15 1 5  21 1 6}
+do_execsql_test 8.2.2 {
+  SELECT * FROM v2
+} {1 1 1  3 1 2  6 1 3  10 1 4  15 1 5  21 1 6}
+
+
+
 finish_test
 

From ca5aa59453a2b5b0412dba951b2ecf96740bdc0b Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 19 Jun 2018 11:15:19 +0000
Subject: [PATCH 086/154] Minor change to the input grammar to make the parser
 tables slightly smaller.

FossilOrigin-Name: 320fa69e6aa2a7d67f6444d6c13de9893e27b85c36a933b06da113d753b6aafc
---
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 src/parse.y   |  8 ++++----
 3 files changed, 12 insertions(+), 12 deletions(-)

diff --git a/manifest b/manifest
index 5aca15b699..3668ff9309 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\stest\scase\sfor\sthe\sfix\sin\sthe\sprevious\scommit.
-D 2018-06-18T20:08:08.076
+C Minor\schange\sto\sthe\sinput\sgrammar\sto\smake\sthe\sparser\stables\sslightly\ssmaller.
+D 2018-06-19T11:15:19.013
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 0b81472496809693a139067fea1fe3f14a7be8aa26c8f18bb327034d1252a06a
+F src/parse.y 4a86c88d1bdd0706bc9b7a24fdf32af45505216767c2434fd0f5866e3effa92f
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -1731,7 +1731,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 0c9163ea232d4008105939910565b0d1e533cbb38067d7900dc732b911786d37
-R 828bc1b54e5f114a82b36238956b6c68
-U dan
-Z a2649c28c10e52fc0b8009ae076970c3
+P 39434262d5cf1af197ce0abb1f1ee84ee0797823e290a493c5bf8376fbe287a6
+R b6cf2872dc6b136d2f9f02df3a45f74e
+U drh
+Z ca3608404058acf123d3efb518cfb804
diff --git a/manifest.uuid b/manifest.uuid
index 4851ff7a3b..dda5fdd11b 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-39434262d5cf1af197ce0abb1f1ee84ee0797823e290a493c5bf8376fbe287a6
\ No newline at end of file
+320fa69e6aa2a7d67f6444d6c13de9893e27b85c36a933b06da113d753b6aafc
\ No newline at end of file
diff --git a/src/parse.y b/src/parse.y
index a29a98d0e2..441d624f34 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -1101,10 +1101,10 @@ expr(A) ::= NOT(B) expr(X).
               {A = sqlite3PExpr(pParse, @B, X, 0);/*A-overwrites-B*/}
 expr(A) ::= BITNOT(B) expr(X).
               {A = sqlite3PExpr(pParse, @B, X, 0);/*A-overwrites-B*/}
-expr(A) ::= MINUS expr(X). [BITNOT]
-              {A = sqlite3PExpr(pParse, TK_UMINUS, X, 0);}
-expr(A) ::= PLUS expr(X). [BITNOT]
-              {A = sqlite3PExpr(pParse, TK_UPLUS, X, 0);}
+expr(A) ::= PLUS|MINUS(B) expr(X). [BITNOT] {
+  A = sqlite3PExpr(pParse, @B==TK_PLUS ? TK_UPLUS : TK_UMINUS, X, 0);
+  /*A-overwrites-B*/
+}
 
 %type between_op {int}
 between_op(A) ::= BETWEEN.     {A = 0;}

From 6fb2b54ceba867749d59f0cb140c92775455749e Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Tue, 19 Jun 2018 17:13:11 +0000
Subject: [PATCH 087/154] Fix a problem with using min() or max() as a window
 function.

FossilOrigin-Name: 801074ce63d3f4825cc9fa508c42629a9f74e7f9e35c5f238343bb1cff4fbae1
---
 manifest          | 16 ++++++++--------
 manifest.uuid     |  2 +-
 src/func.c        | 28 +++++++++++++++++-----------
 src/sqliteInt.h   |  4 ++--
 test/window1.test | 35 ++++++++++++++++++++++++++++++++++-
 5 files changed, 62 insertions(+), 23 deletions(-)

diff --git a/manifest b/manifest
index 4bcd7dd5e8..ca66122a0b 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sproblems\swith\susing\swindow\sfunctions\sin\sCREATE\sVIEW\sstatements.
-D 2018-06-18T20:34:43.117
+C Fix\sa\sproblem\swith\susing\smin()\sor\smax()\sas\sa\swindow\sfunction.
+D 2018-06-19T17:13:11.465
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -450,7 +450,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c 02e1fb65a7154e8e224cc50828472a336f01f98b6ae09467fe936e2a154d3433
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c f1c244ba44950d94d4c2298903d16ca7ae3183bcf07936a9e01ab4f3f10b53e2
+F src/func.c 1d070c30d12651c63b16ad418a348582655ef3d471bd0309d239f84635f07529
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -500,7 +500,7 @@ F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadf
 F src/sqlite.h.in 8dbfe617b70b01e661a9ba0b805facb1430df80096ea7508cf7903878b45e689
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 6080a69e0f994f588edb89f59a65711804fd29349e74bae0bfa9e5db6fdf120e
+F src/sqliteInt.h a67385b64a1c0fa21dfe333cf4c29d81f247df2cf09e22fcdc24db4ac486ff42
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -1618,7 +1618,7 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test f6624f97903a0222722d1766e8e532fdc7845cde14f29a1d465978c2e4b1bb87
+F test/window1.test 8908f0001344ab4647e92a1a730fe2ba815bf6cc825d593da52547bdb5a52d14
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 5720dcd8b111b1f8712c8fb4b441ccb129e838db8c26a6e9e0f095dc6a851f6b
-R 6e5da45464aff0125995ddaf37c7d2ce
+P 943bccd2a6bd4cf3e0534c1fa46885bfa2ba7b780ddcdff9f1ea4cbb3f04e786
+R 5fcb4af2a902f40af7b809ae87add174
 U dan
-Z e83fb6fe2c3abd6b6a47ea2ddd2f633a
+Z 2eb81d8039375e53496d5bc9404306d5
diff --git a/manifest.uuid b/manifest.uuid
index 6f9a386c3a..60211bc89d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-943bccd2a6bd4cf3e0534c1fa46885bfa2ba7b780ddcdff9f1ea4cbb3f04e786
\ No newline at end of file
+801074ce63d3f4825cc9fa508c42629a9f74e7f9e35c5f238343bb1cff4fbae1
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index 772276e783..57a1f0ff42 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1610,7 +1610,7 @@ static void minmaxStep(
   pBest = (Mem *)sqlite3_aggregate_context(context, sizeof(*pBest));
   if( !pBest ) return;
 
-  if( sqlite3_value_type(argv[0])==SQLITE_NULL ){
+  if( sqlite3_value_type(pArg)==SQLITE_NULL ){
     if( pBest->flags ) sqlite3SkipAccumulatorLoad(context);
   }else if( pBest->flags ){
     int max;
@@ -1636,16 +1636,22 @@ static void minmaxStep(
     sqlite3VdbeMemCopy(pBest, pArg);
   }
 }
-static void minMaxFinalize(sqlite3_context *context){
+static void minMaxValueFinalize(sqlite3_context *context, int bValue){
   sqlite3_value *pRes;
   pRes = (sqlite3_value *)sqlite3_aggregate_context(context, 0);
   if( pRes ){
     if( pRes->flags ){
       sqlite3_result_value(context, pRes);
     }
-    sqlite3VdbeMemRelease(pRes);
+    if( bValue==0 ) sqlite3VdbeMemRelease(pRes);
   }
 }
+static void minMaxValue(sqlite3_context *context){
+  return minMaxValueFinalize(context, 1);
+}
+static void minMaxFinalize(sqlite3_context *context){
+  return minMaxValueFinalize(context, 0);
+}
 
 /*
 ** group_concat(EXPR, ?SEPARATOR?)
@@ -1883,11 +1889,11 @@ void sqlite3RegisterBuiltinFunctions(void){
     FUNCTION(trim,               2, 3, 0, trimFunc         ),
     FUNCTION(min,               -1, 0, 1, minmaxFunc       ),
     FUNCTION(min,                0, 0, 1, 0                ),
-    AGGREGATE2(min,              1, 0, 1, minmaxStep,      minMaxFinalize,
+    WAGGREGATE(min, 1, 0, 1, minmaxStep, minMaxFinalize, minMaxValue, 0,
                                           SQLITE_FUNC_MINMAX ),
     FUNCTION(max,               -1, 1, 1, minmaxFunc       ),
     FUNCTION(max,                0, 1, 1, 0                ),
-    AGGREGATE2(max,              1, 1, 1, minmaxStep,      minMaxFinalize,
+    WAGGREGATE(max, 1, 1, 1, minmaxStep, minMaxFinalize, minMaxValue, 0,
                                           SQLITE_FUNC_MINMAX ),
     FUNCTION2(typeof,            1, 0, 0, typeofFunc,  SQLITE_FUNC_TYPEOF),
     FUNCTION2(length,            1, 0, 0, lengthFunc,  SQLITE_FUNC_LENGTH),
@@ -1918,15 +1924,15 @@ void sqlite3RegisterBuiltinFunctions(void){
     FUNCTION(zeroblob,           1, 0, 0, zeroblobFunc     ),
     FUNCTION(substr,             2, 0, 0, substrFunc       ),
     FUNCTION(substr,             3, 0, 0, substrFunc       ),
-    WAGGREGATE(sum,   1,0,0, sumStep, sumFinalize, sumFinalize, sumInverse),
-    WAGGREGATE(total, 1,0,0, sumStep, totalFinalize, totalFinalize, sumInverse),
-    WAGGREGATE(avg,   1,0,0, sumStep, avgFinalize, avgFinalize, sumInverse),
+    WAGGREGATE(sum,   1,0,0, sumStep, sumFinalize, sumFinalize, sumInverse, 0),
+    WAGGREGATE(total, 1,0,0, sumStep,totalFinalize,totalFinalize,sumInverse, 0),
+    WAGGREGATE(avg,   1,0,0, sumStep, avgFinalize, avgFinalize, sumInverse, 0),
     AGGREGATE2(count, 0,0,0, countStep, countFinalize, SQLITE_FUNC_COUNT  ),
-    WAGGREGATE(count, 1,0,0, countStep, countFinalize, 0, 0 ),
+    WAGGREGATE(count, 1,0,0, countStep, countFinalize, 0, 0, 0 ),
     WAGGREGATE(group_concat, 1, 0, 0, groupConcatStep, 
-        groupConcatFinalize, groupConcatValue, groupConcatInverse),
+        groupConcatFinalize, groupConcatValue, groupConcatInverse, 0),
     WAGGREGATE(group_concat, 2, 0, 0, groupConcatStep, 
-        groupConcatFinalize, groupConcatValue, groupConcatInverse),
+        groupConcatFinalize, groupConcatValue, groupConcatInverse, 0),
   
     LIKEFUNC(glob, 2, &globInfo, SQLITE_FUNC_LIKE|SQLITE_FUNC_CASE),
 #ifdef SQLITE_CASE_SENSITIVE_LIKE
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index d297af7005..294aaef415 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -1762,8 +1762,8 @@ struct FuncDestructor {
   {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL)|extraFlags, \
    SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xFinal,0,#zName, {0}}
 
-#define WAGGREGATE(zName, nArg, arg, nc, xStep, xFinal, xValue, xInverse) \
-  {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL), \
+#define WAGGREGATE(zName, nArg, arg, nc, xStep, xFinal, xValue, xInverse, f) \
+  {nArg, SQLITE_UTF8|(nc*SQLITE_FUNC_NEEDCOLL)|f, \
    SQLITE_INT_TO_PTR(arg), 0, xStep,xFinal,xValue,xInverse,#zName, {0}}
 
 /*
diff --git a/test/window1.test b/test/window1.test
index ad486f68f1..d5b772779e 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -269,7 +269,6 @@ do_execsql_test 7.3 {
   SELECT row_number() OVER (ORDER BY x) FROM t1
 } {1 2 3 4 5}
 
-breakpoint
 do_execsql_test 7.4 {
   SELECT 
     row_number() OVER win,
@@ -317,6 +316,40 @@ do_execsql_test 8.2.2 {
   SELECT * FROM v2
 } {1 1 1  3 1 2  6 1 3  10 1 4  15 1 5  21 1 6}
 
+#-------------------------------------------------------------------------
+# Attempt to use a window function in a trigger.
+#
+do_execsql_test 9.0 {
+  CREATE TABLE t4(x, y);
+  INSERT INTO t4 VALUES(1, 'g');
+  INSERT INTO t4 VALUES(2, 'i');
+  INSERT INTO t4 VALUES(3, 'l');
+  INSERT INTO t4 VALUES(4, 'g');
+  INSERT INTO t4 VALUES(5, 'a');
+
+  CREATE TABLE t5(x, y, m);
+  CREATE TRIGGER t4i AFTER INSERT ON t4 BEGIN
+    DELETE FROM t5;
+    INSERT INTO t5 
+      SELECT x, y, max(y) OVER xyz FROM t4
+      WINDOW xyz AS (PARTITION BY (x%2) ORDER BY x);
+  END;
+}
+
+do_execsql_test 9.1.1 {
+  SELECT x, y, max(y) OVER xyz FROM t4
+      WINDOW xyz AS (PARTITION BY (x%2) ORDER BY x) ORDER BY 1
+} {1 g g   2 i i   3 l l   4 g i   5 a l}
+
+do_execsql_test 9.1.2 {
+  INSERT INTO t4 VALUES(6, 'm');
+  SELECT x, y, max(y) OVER xyz FROM t4
+      WINDOW xyz AS (PARTITION BY (x%2) ORDER BY x) ORDER BY 1
+} {1 g g   2 i i   3 l l   4 g i   5 a l   6 m m}
+
+do_execsql_test 9.1.3 {
+  SELECT * FROM t5 ORDER BY 1
+} {1 g g   2 i i   3 l l   4 g i   5 a l   6 m m}
 
 
 finish_test

From cc4644183ba62db2f997f7329b70f5b330d6bf4e Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Tue, 19 Jun 2018 18:11:05 +0000
Subject: [PATCH 088/154] Fix a problem caused by a sub-query containing a
 window function in the FROM clause of a query that itself uses a window
 function.

FossilOrigin-Name: f4b1b6f85b53d72e735a1382f7c3de75af405a7878dd8cdcb10394e859ea3d69
---
 manifest          | 14 +++++++-------
 manifest.uuid     |  2 +-
 src/select.c      |  2 +-
 test/window1.test | 15 +++++++++++++++
 4 files changed, 24 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index ca66122a0b..bcb5d0daac 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\sproblem\swith\susing\smin()\sor\smax()\sas\sa\swindow\sfunction.
-D 2018-06-19T17:13:11.465
+C Fix\sa\sproblem\scaused\sby\sa\ssub-query\scontaining\sa\swindow\sfunction\sin\sthe\sFROM\nclause\sof\sa\squery\sthat\sitself\suses\sa\swindow\sfunction.
+D 2018-06-19T18:11:05.635
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -495,7 +495,7 @@ F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c a8cf3d6144f6a821f002dad72f80659691e827a96e6da6dedf8b263edefe3a80
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 7e8e439bf8bf732860566ccceebd57d934bf1aceca213c394d825dde60473f8e
+F src/select.c 99ad73c580aed9bc904894c804c9983c9f82b8426296f976f832ceb086babae1
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
 F src/sqlite.h.in 8dbfe617b70b01e661a9ba0b805facb1430df80096ea7508cf7903878b45e689
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
@@ -1618,7 +1618,7 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 8908f0001344ab4647e92a1a730fe2ba815bf6cc825d593da52547bdb5a52d14
+F test/window1.test c4c138b1207bfdb5cd8edb2671f6e40040713b3e44bd156f6f8960bdf358ae2e
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 943bccd2a6bd4cf3e0534c1fa46885bfa2ba7b780ddcdff9f1ea4cbb3f04e786
-R 5fcb4af2a902f40af7b809ae87add174
+P 801074ce63d3f4825cc9fa508c42629a9f74e7f9e35c5f238343bb1cff4fbae1
+R 4641575efb36f515d78c6011eec804c4
 U dan
-Z 2eb81d8039375e53496d5bc9404306d5
+Z 8f9d5637c634d62c951ad6a938d09ca8
diff --git a/manifest.uuid b/manifest.uuid
index 60211bc89d..0adca7c70e 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-801074ce63d3f4825cc9fa508c42629a9f74e7f9e35c5f238343bb1cff4fbae1
\ No newline at end of file
+f4b1b6f85b53d72e735a1382f7c3de75af405a7878dd8cdcb10394e859ea3d69
\ No newline at end of file
diff --git a/src/select.c b/src/select.c
index a3a85503b5..2c07504089 100644
--- a/src/select.c
+++ b/src/select.c
@@ -4993,7 +4993,7 @@ static void selectAddSubqueryTypeInfo(Walker *pWalker, Select *p){
   struct SrcList_item *pFrom;
 
   assert( p->selFlags & SF_Resolved );
-  assert( (p->selFlags & SF_HasTypeInfo)==0 );
+  if( p->selFlags & SF_HasTypeInfo ) return;
   p->selFlags |= SF_HasTypeInfo;
   pParse = pWalker->pParse;
   pTabList = p->pSrc;
diff --git a/test/window1.test b/test/window1.test
index d5b772779e..4d462a7b8b 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -351,6 +351,21 @@ do_execsql_test 9.1.3 {
   SELECT * FROM t5 ORDER BY 1
 } {1 g g   2 i i   3 l l   4 g i   5 a l   6 m m}
 
+do_execsql_test 9.2 {
+  WITH aaa(x, y, z) AS (
+    SELECT x, y, max(y) OVER xyz FROM t4
+    WINDOW xyz AS (PARTITION BY (x%2) ORDER BY x)
+  )
+  SELECT * FROM aaa ORDER BY 1;
+} {1 g g   2 i i   3 l l   4 g i   5 a l   6 m m}
+
+do_execsql_test 9.3 {
+  WITH aaa(x, y, z) AS (
+    SELECT x, y, max(y) OVER xyz FROM t4
+    WINDOW xyz AS (ORDER BY x)
+  )
+  SELECT *, min(z) OVER (ORDER BY x) FROM aaa ORDER BY 1;
+} {1 g g g   2 i i g   3 l l g   4 g l g   5 a l g   6 m m g}
 
 finish_test
 

From 9c27758eb4c45d9592f2dab9670726e002b460ba Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 20 Jun 2018 09:23:49 +0000
Subject: [PATCH 089/154] Add tests to improve coverage of code in window.c.
 Fix a problem with "SELECT row_number() OVER ()".

FossilOrigin-Name: f41b6b7317e2b5ac5721a3adff49f298ded29f9e0f887af98faeb0cb7e865ab6
---
 manifest              |  22 ++---
 manifest.uuid         |   2 +-
 src/vdbe.h            |   1 +
 src/vdbeapi.c         |  12 +++
 src/window.c          |  52 ++++++++---
 test/window3.tcl      |   6 ++
 test/window3.test     | 204 ++++++++++++++++++++++++++++++++++++++++++
 test/windowfault.test |  56 +++++++++++-
 8 files changed, 331 insertions(+), 24 deletions(-)

diff --git a/manifest b/manifest
index 2735805026..a9d1d93270 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\slatest\strunk\schanges\swith\sthis\sbranch.
-D 2018-06-19T19:15:25.540
+C Add\stests\sto\simprove\scoverage\sof\scode\sin\swindow.c.\sFix\sa\sproblem\swith\s"SELECT\nrow_number()\sOVER\s()".
+D 2018-06-20T09:23:49.155
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -567,9 +567,9 @@ F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
 F src/vdbe.c 16385bc816c97cc28c12ffa2151b8dc80617943b2e5871e7f0c9fdb4392c2c18
-F src/vdbe.h 9c8c245fa3785266c269ab02c135c836ff49a307612186686bcdae500f409945
+F src/vdbe.h 847735b3e083285aa225d2bf1fe97107a0a2b8942c80d643cdb764990705820d
 F src/vdbeInt.h d99f1c3da17b4ed271efc2f52898dd9a577dee077da47c2a014bc128f3cdba2a
-F src/vdbeapi.c af4a3de00d1851bcbc55b85dfbe52849aa2b1e17b4a5a1f3d9c257df7af361ff
+F src/vdbeapi.c e35f813312b0f6e8e2835b357f121e0d1da6d3013bac3e367fe4efd518e7a2ec
 F src/vdbeaux.c c2d65c763b0811afe409e02e9d0d1f300c6e97892474fc94eec3da71955cd418
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
 F src/vdbemem.c b8f3bb3bed82774ee352fa3405c83de2fc3e528638adfd3d15fa9a0da5c03d07
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c 32a747702eed5cfb2184f8932d93d5a0688ab48076bc3c7ac90325647bc72304
+F src/window.c 79be282a3602a435ec4991163823cf8af0a8a86187fe7e0518873c8814cdfcf3
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1621,12 +1621,12 @@ F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test c4c138b1207bfdb5cd8edb2671f6e40040713b3e44bd156f6f8960bdf358ae2e
 F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl 654d61d73e10db089b22514d498bb23ec310f720c0f4b5f69f67fda83d672048
-F test/window3.test 41727668ee31d2ba50f78efcb5bf1bda2c5cffd889aa65243511004669d1ac25
+F test/window3.tcl c770a8a8eff32eec632d2745894bfdb2b732d6e450caa7258cf264196592429f
+F test/window3.test 3c2c768e053453dd12176df0d420b4a3b2661bf1116d67c926b1a0083608fe3e
 F test/window4.tcl ce0c14185ba651de53994df8ac11da472b6bbd3534e148ad3ce87de6aa0426ed
 F test/window4.test 13b8cac12e78017d6c1873742efcb120f3d5b2debfdb412271bfb84969087037
 F test/window5.test fbf14119adb71a2640ec876436c5cc0c304a72f863bff41673c413a2a194646b
-F test/windowfault.test 7d3655fcac44c903b1aa31d40e13d170c71b089551f0e6ed17b02f66fb731fb6
+F test/windowfault.test a3f239a78557554140ccde491371e17d7b58380aafd796554fc9a43527af9dfc
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P f4b1b6f85b53d72e735a1382f7c3de75af405a7878dd8cdcb10394e859ea3d69 320fa69e6aa2a7d67f6444d6c13de9893e27b85c36a933b06da113d753b6aafc
-R 3f551934a344252426be710507621310
+P 6ad0e64b465959c50d4c895c053b15ee7efed11b6427604d2eab88635d9f7319
+R 30e5379558b21c58011238fd5e61a227
 U dan
-Z d27470b28751518c2f266e1267cc19e0
+Z 2a2f3fa673903a56da8ae784bde98feb
diff --git a/manifest.uuid b/manifest.uuid
index 336c4d5bbc..0821076f7c 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-6ad0e64b465959c50d4c895c053b15ee7efed11b6427604d2eab88635d9f7319
\ No newline at end of file
+f41b6b7317e2b5ac5721a3adff49f298ded29f9e0f887af98faeb0cb7e865ab6
\ No newline at end of file
diff --git a/src/vdbe.h b/src/vdbe.h
index 51995e384c..8bf0a2c3fc 100644
--- a/src/vdbe.h
+++ b/src/vdbe.h
@@ -243,6 +243,7 @@ void sqlite3VdbeResolveLabel(Vdbe*, int);
 int sqlite3VdbeCurrentAddr(Vdbe*);
 #ifdef SQLITE_DEBUG
   int sqlite3VdbeAssertMayAbort(Vdbe *, int);
+  int sqlite3VdbeAssertAggContext(sqlite3_context*);
 #endif
 void sqlite3VdbeResetStepResult(Vdbe*);
 void sqlite3VdbeRewind(Vdbe*);
diff --git a/src/vdbeapi.c b/src/vdbeapi.c
index fcc315bc65..270756c299 100644
--- a/src/vdbeapi.c
+++ b/src/vdbeapi.c
@@ -824,6 +824,18 @@ void *sqlite3_aggregate_context(sqlite3_context *p, int nByte){
   }
 }
 
+/*
+** This function is only used within assert() statements to check that the
+** aggregate context has already been allocated. i.e.:
+**
+**   assert( sqlite3VdbeAssertAggContext(p) );
+*/
+#ifdef SQLITE_DEBUG
+int sqlite3VdbeAssertAggContext(sqlite3_context *p){
+  return ((p->pMem->flags & MEM_Agg)!=0);
+}
+#endif /* SQLITE_DEBUG */
+
 /*
 ** Return the auxiliary data pointer, if any, for the iArg'th argument to
 ** the user-function defined by pCtx.
diff --git a/src/window.c b/src/window.c
index 9d5cadcdd1..c025e5ab24 100644
--- a/src/window.c
+++ b/src/window.c
@@ -172,7 +172,10 @@ struct CallCount {
 };
 
 /*
-** Implementation of built-in window function dense_rank().
+** Implementation of built-in window function dense_rank(). Assumes that
+** the window frame has been set to:
+**
+**   RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW 
 */
 static void dense_rankStepFunc(
   sqlite3_context *pCtx, 
@@ -202,7 +205,10 @@ static void dense_rankValueFunc(sqlite3_context *pCtx){
 }
 
 /*
-** Implementation of built-in window function rank().
+** Implementation of built-in window function rank(). Assumes that
+** the window frame has been set to:
+**
+**   RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW 
 */
 static void rankStepFunc(
   sqlite3_context *pCtx, 
@@ -234,7 +240,10 @@ static void rankValueFunc(sqlite3_context *pCtx){
 }
 
 /*
-** Implementation of built-in window function percent_rank().
+** Implementation of built-in window function percent_rank(). Assumes that
+** the window frame has been set to:
+**
+**   RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW 
 */
 static void percent_rankStepFunc(
   sqlite3_context *pCtx, 
@@ -244,8 +253,9 @@ static void percent_rankStepFunc(
   struct CallCount *p;
   assert( nArg==1 );
 
+  assert( sqlite3VdbeAssertAggContext(pCtx) );
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
-  if( p ){
+  if( ALWAYS(p) ){
     if( p->nTotal==0 ){
       p->nTotal = sqlite3_value_int64(apArg[0]);
     }
@@ -275,6 +285,12 @@ static void percent_rankValueFunc(sqlite3_context *pCtx){
   }
 }
 
+/*
+** Implementation of built-in window function cume_dist(). Assumes that
+** the window frame has been set to:
+**
+**   RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW 
+*/
 static void cume_distStepFunc(
   sqlite3_context *pCtx, 
   int nArg,
@@ -283,8 +299,9 @@ static void cume_distStepFunc(
   struct CallCount *p;
   assert( nArg==1 );
 
+  assert( sqlite3VdbeAssertAggContext(pCtx) );
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
-  if( p ){
+  if( ALWAYS(p) ){
     if( p->nTotal==0 ){
       p->nTotal = sqlite3_value_int64(apArg[0]);
     }
@@ -328,8 +345,9 @@ static void ntileStepFunc(
 ){
   struct NtileCtx *p;
   assert( nArg==2 );
+  assert( sqlite3VdbeAssertAggContext(pCtx) );
   p = (struct NtileCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
-  if( p ){
+  if( ALWAYS(p) ){
     if( p->nTotal==0 ){
       p->nParam = sqlite3_value_int64(apArg[0]);
       p->nTotal = sqlite3_value_int64(apArg[1]);
@@ -388,7 +406,7 @@ static void last_valueStepFunc(
   sqlite3_value **apArg
 ){
   struct LastValueCtx *p;
-  p = (struct LastValueCtx *)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  p = (struct LastValueCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ){
     sqlite3_value_free(p->pVal);
     p->pVal = sqlite3_value_dup(apArg[0]);
@@ -405,8 +423,8 @@ static void last_valueInvFunc(
   sqlite3_value **apArg
 ){
   struct LastValueCtx *p;
-  p = (struct LastValueCtx *)sqlite3_aggregate_context(pCtx, sizeof(*p));
-  if( p ){
+  p = (struct LastValueCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  if( ALWAYS(p) ){
     p->nVal--;
     if( p->nVal==0 ){
       sqlite3_value_free(p->pVal);
@@ -416,14 +434,14 @@ static void last_valueInvFunc(
 }
 static void last_valueValueFunc(sqlite3_context *pCtx){
   struct LastValueCtx *p;
-  p = (struct LastValueCtx *)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  p = (struct LastValueCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p && p->pVal ){
     sqlite3_result_value(pCtx, p->pVal);
   }
 }
 static void last_valueFinalizeFunc(sqlite3_context *pCtx){
   struct LastValueCtx *p;
-  p = (struct LastValueCtx *)sqlite3_aggregate_context(pCtx, sizeof(*p));
+  p = (struct LastValueCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p && p->pVal ){
     sqlite3_result_value(pCtx, p->pVal);
     sqlite3_value_free(p->pVal);
@@ -737,6 +755,18 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
       sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
     }
 
+    /* If there is no ORDER BY or PARTITION BY clause, and the window
+    ** function accepts zero arguments, and there are no other columns
+    ** selected (e.g. "SELECT row_number() OVER () FROM t1"), it is possible
+    ** that pSublist is still NULL here. Add a constant expression here to 
+    ** keep everything legal in this case. 
+    */
+    if( pSublist==0 ){
+      pSublist = sqlite3ExprListAppend(pParse, 0, 
+          sqlite3ExprAlloc(db, TK_INTEGER, &sqlite3IntTokens[0], 0)
+      );
+    }
+
     pSub = sqlite3SelectNew(
         pParse, pSublist, pSrc, pWhere, pGroupBy, pHaving, pSort, 0, 0
     );
diff --git a/test/window3.tcl b/test/window3.tcl
index 6ad7993029..79975cc77a 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -82,6 +82,9 @@ foreach {tn window} {
   execsql_test 1.$tn.3.2 "
     SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a $window ) FROM t2
   "
+  execsql_test 1.$tn.3.3 "
+    SELECT row_number() OVER ( $window ) FROM t2
+  "
 
   execsql_test 1.$tn.4.1 "
     SELECT dense_rank() OVER ( ORDER BY a $window ) FROM t2
@@ -185,6 +188,9 @@ foreach {tn window} {
   execsql_float_test 1.$tn.8.6 "
     SELECT ntile(105) OVER (PARTITION BY b%2,a ORDER BY b%10 $window) FROM t2
   "
+  execsql_float_test 1.$tn.8.7 "
+    SELECT ntile(105) OVER ( $window ) FROM t2
+  "
 
   execsql_test 1.$tn.9.1 "
     SELECT last_value(a+b) OVER ( ORDER BY a $window ) FROM t2
diff --git a/test/window3.test b/test/window3.test
index 7fe106d033..0d4bdef7e8 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -73,6 +73,10 @@ do_execsql_test 1.1.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.1.3.3 {
+  SELECT row_number() OVER ( RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.1.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -273,6 +277,14 @@ do_test 1.1.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.1.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.1.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207}
@@ -453,6 +465,10 @@ do_execsql_test 1.2.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.2.3.3 {
+  SELECT row_number() OVER ( RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.2.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -653,6 +669,14 @@ do_test 1.2.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.2.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.2.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207}
@@ -833,6 +857,10 @@ do_execsql_test 1.3.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.3.3.3 {
+  SELECT row_number() OVER ( RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.3.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -1033,6 +1061,14 @@ do_test 1.3.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.3.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.3.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207}
@@ -1213,6 +1249,10 @@ do_execsql_test 1.4.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.4.3.3 {
+  SELECT row_number() OVER ( RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.4.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -1413,6 +1453,14 @@ do_test 1.4.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.4.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.4.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207}
@@ -1593,6 +1641,10 @@ do_execsql_test 1.5.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.5.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.5.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -1793,6 +1845,14 @@ do_test 1.5.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.5.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.5.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
 } {{}   {}   {}   {}   1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279}
@@ -1973,6 +2033,10 @@ do_execsql_test 1.6.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.6.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.6.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -2173,6 +2237,14 @@ do_test 1.6.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.6.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.6.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
 } {{}   {}   1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280}
@@ -2353,6 +2425,10 @@ do_execsql_test 1.7.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.7.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.7.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -2553,6 +2629,14 @@ do_test 1.7.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.7.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.7.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
 } {1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207}
@@ -2733,6 +2817,10 @@ do_execsql_test 1.8.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.8.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.8.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -2933,6 +3021,14 @@ do_test 1.8.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.8.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.8.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
 } {1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207}
@@ -3113,6 +3209,10 @@ do_execsql_test 1.9.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.9.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.9.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -3313,6 +3413,14 @@ do_test 1.9.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.9.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.9.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
 } {1   76   44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207}
@@ -3493,6 +3601,10 @@ do_execsql_test 1.10.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.10.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.10.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -3693,6 +3805,14 @@ do_test 1.10.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.10.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.10.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
 } {28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207   207   207   207   207}
@@ -3873,6 +3993,10 @@ do_execsql_test 1.11.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.11.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.11.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -4073,6 +4197,14 @@ do_test 1.11.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.11.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.11.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
 } {44   78   28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207   207   207}
@@ -4253,6 +4385,10 @@ do_execsql_test 1.12.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.12.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.12.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -4453,6 +4589,14 @@ do_test 1.12.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.12.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.12.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
 } {28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207   207   207   207   207}
@@ -4633,6 +4777,10 @@ do_execsql_test 1.13.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.13.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.13.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -4833,6 +4981,14 @@ do_test 1.13.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.13.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.13.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
 } {28   105   33   41   11   99   92   108   72   52   83   55   79   109   65   26   120   119   50   70   103   80   124   36   96   59   124   116   110   57   51   52   130   103   74   87   48   128   117   105   136   131   71   133   92   109   63   84   109   57   146   78   147   113   74   88   150   87   110   65   121   106   110   124   85   145   107   161   171   150   156   80   171   120   109   158   114   111   136   147   87   173   124   168   173   162   132   101   154   167   190   161   110   156   195   198   102   123   177   169   140   111   180   119   160   197   152   124   121   134   146   147   132   213   141   193   200   210   157   132   136   175   161   218   188   226   191   187   208   211   179   138   144   223   196   214   170   212   202   163   184   172   173   195   229   240   187   210   200   163   227   228   223   191   252   235   225   243   172   187   202   179   179   182   231   261   207   263   206   189   209   212   276   181   274   249   239   234   213   234   269   196   271   221   210   229   235   250   223   232   229   279   224   280   216   207   207   207   {}   {}}
@@ -5013,6 +5169,10 @@ do_execsql_test 1.14.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.14.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.14.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -5213,6 +5373,14 @@ do_test 1.14.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.14.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.14.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
 } {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207}
@@ -5393,6 +5561,10 @@ do_execsql_test 1.15.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.15.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.15.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -5593,6 +5765,14 @@ do_test 1.15.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.15.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.15.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207}
@@ -5773,6 +5953,10 @@ do_execsql_test 1.16.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.16.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.16.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -5973,6 +6157,14 @@ do_test 1.16.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.16.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.16.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
 } {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207}
@@ -6153,6 +6345,10 @@ do_execsql_test 1.17.3.2 {
   SELECT row_number() OVER ( PARTITION BY b%10 ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23}
 
+do_execsql_test 1.17.3.3 {
+  SELECT row_number() OVER ( ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
+} {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
+
 do_execsql_test 1.17.4.1 {
   SELECT dense_rank() OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {1   2   3   4   5   6   7   8   9   10   11   12   13   14   15   16   17   18   19   20   21   22   23   24   25   26   27   28   29   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   152   153   154   155   156   157   158   159   160   161   162   163   164   165   166   167   168   169   170   171   172   173   174   175   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200}
@@ -6353,6 +6549,14 @@ do_test 1.17.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
+do_test 1.17.8.6 {
+  set myres {}
+  foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 2.00 2.00 3.00 3.00 4.00 4.00 5.00 5.00 6.00 6.00 7.00 7.00 8.00 8.00 9.00 9.00 10.00 10.00 11.00 11.00 12.00 12.00 13.00 13.00 14.00 14.00 15.00 15.00 16.00 16.00 17.00 17.00 18.00 18.00 19.00 19.00 20.00 20.00 21.00 21.00 22.00 22.00 23.00 23.00 24.00 24.00 25.00 25.00 26.00 26.00 27.00 27.00 28.00 28.00 29.00 29.00 30.00 30.00 31.00 31.00 32.00 32.00 33.00 33.00 34.00 34.00 35.00 35.00 36.00 36.00 37.00 37.00 38.00 38.00 39.00 39.00 40.00 40.00 41.00 41.00 42.00 42.00 43.00 43.00 44.00 44.00 45.00 45.00 46.00 46.00 47.00 47.00 48.00 48.00 49.00 49.00 50.00 50.00 51.00 51.00 52.00 52.00 53.00 53.00 54.00 54.00 55.00 55.00 56.00 56.00 57.00 57.00 58.00 58.00 59.00 59.00 60.00 60.00 61.00 61.00 62.00 62.00 63.00 63.00 64.00 64.00 65.00 65.00 66.00 66.00 67.00 67.00 68.00 68.00 69.00 69.00 70.00 70.00 71.00 71.00 72.00 72.00 73.00 73.00 74.00 74.00 75.00 75.00 76.00 76.00 77.00 77.00 78.00 78.00 79.00 79.00 80.00 80.00 81.00 81.00 82.00 82.00 83.00 83.00 84.00 84.00 85.00 85.00 86.00 86.00 87.00 87.00 88.00 88.00 89.00 89.00 90.00 90.00 91.00 91.00 92.00 92.00 93.00 93.00 94.00 94.00 95.00 95.00 96.00 97.00 98.00 99.00 100.00 101.00 102.00 103.00 104.00 105.00}
+
 do_execsql_test 1.17.9.1 {
   SELECT last_value(a+b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
 } {207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   207   {}   {}   {}   {}}
diff --git a/test/windowfault.test b/test/windowfault.test
index d185e9f913..4d960fb238 100644
--- a/test/windowfault.test
+++ b/test/windowfault.test
@@ -46,7 +46,34 @@ do_faultsim_test 1 -start 1 -faults oom-* -prep {
   faultsim_test_result {0 {1 1 1 1 4 4 {} 8 {} 4 4 2 2 2 1 4 8 8 12 4 8 4 3 3 3 2 4 12 8 {} 8 12 4}}
 }
 
-do_faultsim_test 2 -faults oom-* -prep {
+do_faultsim_test 1.1 -faults oom-t* -prep {
+  faultsim_restore_and_reopen
+} -body {
+  execsql {
+    SELECT row_number() OVER win,
+           rank() OVER win,
+           dense_rank() OVER win
+    FROM t1
+    WINDOW win AS (PARTITION BY c<7 ORDER BY a)
+  }
+} -test {
+  faultsim_test_result {0 {1 1 1 2 2 2 1 1 1}}
+}
+
+do_faultsim_test 2 -start 1 -faults oom-* -prep {
+  faultsim_restore_and_reopen
+} -body {
+  execsql {
+    SELECT round(percent_rank() OVER win, 2),
+           round(cume_dist() OVER win, 2)
+    FROM t1
+    WINDOW win AS (ORDER BY a)
+  }
+} -test {
+  faultsim_test_result {0 {0.0 0.33 0.5 0.67 1.0 1.0}}
+}
+
+do_faultsim_test 3 -faults oom-* -prep {
   faultsim_restore_and_reopen
 } -body {
   execsql {
@@ -58,6 +85,33 @@ do_faultsim_test 2 -faults oom-* -prep {
   faultsim_test_result {0 {4 12 8 12 12 12}}
 }
 
+do_faultsim_test 4 -faults oom-* -prep {
+  faultsim_restore_and_reopen
+} -body {
+  execsql {
+    CREATE VIEW aaa AS
+    SELECT min(d) OVER w, max(d) OVER w
+    FROM t1
+    WINDOW w AS (ORDER BY a RANGE BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING);
+    SELECT * FROM aaa;
+  }
+} -test {
+  faultsim_test_result {0 {4 12 8 12 12 12}}
+}
+
+do_faultsim_test 5 -start 1 -faults oom-* -prep {
+  faultsim_restore_and_reopen
+} -body {
+  execsql {
+    SELECT last_value(a) OVER win1,
+           last_value(a) OVER win2
+    FROM t1
+    WINDOW win1 AS (ORDER BY a ROWS BETWEEN CURRENT ROW AND 1 FOLLOWING),
+           win2 AS (ORDER BY a)
+  }
+} -test {
+  faultsim_test_result {0 {5 1 9 5 9 9}}
+}
 
 finish_test
 

From b7306f6f6e56d2d957d29db6f35ec5efc3ddc983 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 21 Jun 2018 19:20:39 +0000
Subject: [PATCH 090/154] Fix a problem with handling single row partitions in
 the percent_rank() window function.

FossilOrigin-Name: b84fbf16eac718c151731e2b2dcc73f2f2a144e3670f8566a30793f1e4e6a3ec
---
 manifest          | 16 ++++++++--------
 manifest.uuid     |  2 +-
 src/window.c      |  2 +-
 test/window4.tcl  | 18 ++++++++++++++++++
 test/window4.test | 24 ++++++++++++++++++++++++
 5 files changed, 52 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index a9d1d93270..8ae1efb7f5 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\stests\sto\simprove\scoverage\sof\scode\sin\swindow.c.\sFix\sa\sproblem\swith\s"SELECT\nrow_number()\sOVER\s()".
-D 2018-06-20T09:23:49.155
+C Fix\sa\sproblem\swith\shandling\ssingle\srow\spartitions\sin\sthe\spercent_rank()\swindow\nfunction.
+D 2018-06-21T19:20:39.296
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c 79be282a3602a435ec4991163823cf8af0a8a86187fe7e0518873c8814cdfcf3
+F src/window.c 358312db1cf5462a3bed074a82afa0b8f98e5d74677e40ab5d920023fab85634
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1623,8 +1623,8 @@ F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fb
 F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
 F test/window3.tcl c770a8a8eff32eec632d2745894bfdb2b732d6e450caa7258cf264196592429f
 F test/window3.test 3c2c768e053453dd12176df0d420b4a3b2661bf1116d67c926b1a0083608fe3e
-F test/window4.tcl ce0c14185ba651de53994df8ac11da472b6bbd3534e148ad3ce87de6aa0426ed
-F test/window4.test 13b8cac12e78017d6c1873742efcb120f3d5b2debfdb412271bfb84969087037
+F test/window4.tcl 1ac3c81a214fc70288dcd68d13e7be7559f864964ce5607cb0e5c790158fead2
+F test/window4.test c07c80aa042fce3ced0300f01c403b06f1b728822a82516ef0febca0fdea2d74
 F test/window5.test fbf14119adb71a2640ec876436c5cc0c304a72f863bff41673c413a2a194646b
 F test/windowfault.test a3f239a78557554140ccde491371e17d7b58380aafd796554fc9a43527af9dfc
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 6ad0e64b465959c50d4c895c053b15ee7efed11b6427604d2eab88635d9f7319
-R 30e5379558b21c58011238fd5e61a227
+P f41b6b7317e2b5ac5721a3adff49f298ded29f9e0f887af98faeb0cb7e865ab6
+R aa86dcfdc887728898a48848c8a25c49
 U dan
-Z 2a2f3fa673903a56da8ae784bde98feb
+Z 0617679bb8a6150dd38744804d96b1d7
diff --git a/manifest.uuid b/manifest.uuid
index 0821076f7c..2ea3fc23ce 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-f41b6b7317e2b5ac5721a3adff49f298ded29f9e0f887af98faeb0cb7e865ab6
\ No newline at end of file
+b84fbf16eac718c151731e2b2dcc73f2f2a144e3670f8566a30793f1e4e6a3ec
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index c025e5ab24..42a7e6ace7 100644
--- a/src/window.c
+++ b/src/window.c
@@ -279,7 +279,7 @@ static void percent_rankValueFunc(sqlite3_context *pCtx){
       double r = (double)(p->nValue-1) / (double)(p->nTotal-1);
       sqlite3_result_double(pCtx, r);
     }else{
-      sqlite3_result_double(pCtx, 100.0);
+      sqlite3_result_double(pCtx, 0.0);
     }
     p->nValue = 0;
   }
diff --git a/test/window4.tcl b/test/window4.tcl
index e75a3f5547..aae7298c1c 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -305,5 +305,23 @@ execsql_test 8.2 {
     WINDOW win AS (ORDER BY a)
 }
 
+==========
+
+execsql_test 9.0 {
+  DROP TABLE IF EXISTS t2;
+  CREATE TABLE t2(x INTEGER);
+  INSERT INTO t2 VALUES(1), (1), (1), (4), (4), (6), (7);
+}
+
+execsql_test 9.1 {
+  SELECT rank() OVER () FROM t2
+}
+execsql_test 9.2 {
+  SELECT dense_rank() OVER (PARTITION BY x) FROM t2
+}
+execsql_float_test 9.3 {
+  SELECT x, percent_rank() OVER (PARTITION BY x ORDER BY x) FROM t2
+}
+
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index 6bb8c715f1..374f6577c1 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -1200,4 +1200,28 @@ do_execsql_test 8.2 {
     WINDOW win AS (ORDER BY a)
 } {1 1 1 1 4 4 {} 8 {} 4 4   2 2 2 1 4 8 8 12 4 8 4   3 3 3 2 4 12 8 {} 8 12 4}
 
+#==========================================================================
+
+do_execsql_test 9.0 {
+  DROP TABLE IF EXISTS t2;
+  CREATE TABLE t2(x INTEGER);
+  INSERT INTO t2 VALUES(1), (1), (1), (4), (4), (6), (7);
+} {}
+
+do_execsql_test 9.1 {
+  SELECT rank() OVER () FROM t2
+} {1   1   1   1   1   1   1}
+
+do_execsql_test 9.2 {
+  SELECT dense_rank() OVER (PARTITION BY x) FROM t2
+} {1   1   1   1   1   1   1}
+
+do_test 9.3 {
+  set myres {}
+  foreach r [db eval {SELECT x, percent_rank() OVER (PARTITION BY x ORDER BY x) FROM t2}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 0.00 1.00 0.00 1.00 0.00 4.00 0.00 4.00 0.00 6.00 0.00 7.00 0.00}
+
 finish_test

From 875ad8ceb14fd1b6b6900f44235cb3593fef3272 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Thu, 21 Jun 2018 23:53:54 +0000
Subject: [PATCH 091/154] Improved context for error_log message coming from
 sqlite3_prepare().

FossilOrigin-Name: fea7ade649ae72303078782f7bc510e0a17f082ffde10e769f1aeb1cf37b5554
---
 manifest       | 13 +++++++------
 manifest.uuid  |  2 +-
 src/tokenize.c |  5 +++--
 3 files changed, 11 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index 3668ff9309..d2ee330fdf 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Minor\schange\sto\sthe\sinput\sgrammar\sto\smake\sthe\sparser\stables\sslightly\ssmaller.
-D 2018-06-19T11:15:19.013
+C Improved\scontext\sfor\serror_log\smessage\scoming\sfrom\ssqlite3_prepare().
+D 2018-06-21T23:53:54.653
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in bfc40f350586923e0419d2ea4b559c37ec10ee4b6e210e08c14401f8e340f0da
@@ -557,7 +557,7 @@ F src/test_windirent.c a895e2c068a06644eef91a7f0a32182445a893b9a0f33d0cdb4283dca
 F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a90484215
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
-F src/tokenize.c bbde32eac9eb1280f5292bcdfef66f5a57e43176cbf9347e0efab9f75e133f97
+F src/tokenize.c b42aa952b05df665ed10d54f02c467159cd9fcb8cbbe5ff3c9cd74781fa2803c
 F src/treeview.c 2c5c4bc0a443401db5fd621542150452ddf5055d38edd4eef868bc2b6bfb0260
 F src/trigger.c 4ace6d1d5ba9a89822deb287317f33c810440526eafe185c2d8a48c31df1e995
 F src/update.c 46dc24c6158446aaab45caee09b6d99327cb479268b83ffeb5b701823da3b67b
@@ -1731,7 +1731,8 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 39434262d5cf1af197ce0abb1f1ee84ee0797823e290a493c5bf8376fbe287a6
-R b6cf2872dc6b136d2f9f02df3a45f74e
+P 320fa69e6aa2a7d67f6444d6c13de9893e27b85c36a933b06da113d753b6aafc
+Q +64df1189b32b29ad9cba866ce88184f18444341daa3fbb26dc58eafb581de9e4
+R d9b538900f5d57eaf54d848520c380bc
 U drh
-Z ca3608404058acf123d3efb518cfb804
+Z aa23d3faab7db84c0ddbb96100cf609e
diff --git a/manifest.uuid b/manifest.uuid
index dda5fdd11b..b001f3323a 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-320fa69e6aa2a7d67f6444d6c13de9893e27b85c36a933b06da113d753b6aafc
\ No newline at end of file
+fea7ade649ae72303078782f7bc510e0a17f082ffde10e769f1aeb1cf37b5554
\ No newline at end of file
diff --git a/src/tokenize.c b/src/tokenize.c
index b591d22238..3286f94f54 100644
--- a/src/tokenize.c
+++ b/src/tokenize.c
@@ -549,7 +549,6 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
     }
   }
   assert( nErr==0 );
-  pParse->zTail = zSql;
 #ifdef YYTRACKMAXSTACKDEPTH
   sqlite3_mutex_enter(sqlite3MallocMutex());
   sqlite3StatusHighwater(SQLITE_STATUS_PARSER_STACK,
@@ -571,10 +570,12 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
   assert( pzErrMsg!=0 );
   if( pParse->zErrMsg ){
     *pzErrMsg = pParse->zErrMsg;
-    sqlite3_log(pParse->rc, "%s", *pzErrMsg);
+    sqlite3_log(pParse->rc, "%s in \"%s\"", 
+                *pzErrMsg, pParse->zTail);
     pParse->zErrMsg = 0;
     nErr++;
   }
+  pParse->zTail = zSql;
   if( pParse->pVdbe && pParse->nErr>0 && pParse->nested==0 ){
     sqlite3VdbeDelete(pParse->pVdbe);
     pParse->pVdbe = 0;

From 17074e3a9e1ab157fc37a361e2a4adc43d00e866 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 22 Jun 2018 17:57:10 +0000
Subject: [PATCH 092/154] Merge latest trunk changes.

FossilOrigin-Name: ebe65b2386a6132f4ef2cce6668a2da7db0798a70d2fba652882d5bccfd6672b
---
 manifest              | 14 +++++++-------
 manifest.uuid         |  2 +-
 src/window.c          |  3 +--
 test/windowfault.test | 12 ++++++++++++
 4 files changed, 21 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index 8ae1efb7f5..dfe0273672 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\sproblem\swith\shandling\ssingle\srow\spartitions\sin\sthe\spercent_rank()\swindow\nfunction.
-D 2018-06-21T19:20:39.296
+C Merge\slatest\strunk\schanges.
+D 2018-06-22T17:57:10.143
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c 358312db1cf5462a3bed074a82afa0b8f98e5d74677e40ab5d920023fab85634
+F src/window.c b4a22460e456bc87f9668414f1f0e48c3f1434dada5f247c34be03e613718199
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1626,7 +1626,7 @@ F test/window3.test 3c2c768e053453dd12176df0d420b4a3b2661bf1116d67c926b1a0083608
 F test/window4.tcl 1ac3c81a214fc70288dcd68d13e7be7559f864964ce5607cb0e5c790158fead2
 F test/window4.test c07c80aa042fce3ced0300f01c403b06f1b728822a82516ef0febca0fdea2d74
 F test/window5.test fbf14119adb71a2640ec876436c5cc0c304a72f863bff41673c413a2a194646b
-F test/windowfault.test a3f239a78557554140ccde491371e17d7b58380aafd796554fc9a43527af9dfc
+F test/windowfault.test 9ca8fb3b6247677224ecc9d359e5821f8a20852740b669afb8539afbb985b6be
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P f41b6b7317e2b5ac5721a3adff49f298ded29f9e0f887af98faeb0cb7e865ab6
-R aa86dcfdc887728898a48848c8a25c49
+P b84fbf16eac718c151731e2b2dcc73f2f2a144e3670f8566a30793f1e4e6a3ec
+R a94a75549a24c145ef6665f7c2007150
 U dan
-Z 0617679bb8a6150dd38744804d96b1d7
+Z a5d17fec782a1e4141228b568759e47a
diff --git a/manifest.uuid b/manifest.uuid
index 2ea3fc23ce..742e91bddb 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-b84fbf16eac718c151731e2b2dcc73f2f2a144e3670f8566a30793f1e4e6a3ec
\ No newline at end of file
+ebe65b2386a6132f4ef2cce6668a2da7db0798a70d2fba652882d5bccfd6672b
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 42a7e6ace7..ff65d150e0 100644
--- a/src/window.c
+++ b/src/window.c
@@ -345,9 +345,8 @@ static void ntileStepFunc(
 ){
   struct NtileCtx *p;
   assert( nArg==2 );
-  assert( sqlite3VdbeAssertAggContext(pCtx) );
   p = (struct NtileCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
-  if( ALWAYS(p) ){
+  if( p ){
     if( p->nTotal==0 ){
       p->nParam = sqlite3_value_int64(apArg[0]);
       p->nTotal = sqlite3_value_int64(apArg[1]);
diff --git a/test/windowfault.test b/test/windowfault.test
index 4d960fb238..80668b19f6 100644
--- a/test/windowfault.test
+++ b/test/windowfault.test
@@ -60,6 +60,18 @@ do_faultsim_test 1.1 -faults oom-t* -prep {
   faultsim_test_result {0 {1 1 1 2 2 2 1 1 1}}
 }
 
+do_faultsim_test 1.2 -faults oom-t* -prep {
+  faultsim_restore_and_reopen
+} -body {
+  execsql {
+    SELECT ntile(105) 
+    OVER ( RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) 
+    FROM t1
+  }
+} -test {
+  faultsim_test_result {0 {1 2 3}}
+}
+
 do_faultsim_test 2 -start 1 -faults oom-* -prep {
   faultsim_restore_and_reopen
 } -body {

From 67a9b8eded051b514db853d53746f484f87bc23b Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 22 Jun 2018 20:51:35 +0000
Subject: [PATCH 093/154] Omit all window-function related code when building
 with SQLITE_OMIT_WINDOWFUNC.

FossilOrigin-Name: 5f04b016467342b5a796bf702ed25b621eb86f2961c1e703d276c93f2cb6aa89
---
 manifest              | 58 +++++++++++++++++++++----------------------
 manifest.uuid         |  2 +-
 src/btree.c           |  2 ++
 src/btree.h           |  2 ++
 src/expr.c            | 14 ++++++++---
 src/func.c            | 16 ++++++++++++
 src/parse.y           | 22 +++++++++++++---
 src/resolve.c         | 11 ++++++--
 src/select.c          | 28 +++++++++++++++------
 src/sqliteInt.h       | 10 ++++++++
 src/test_config.c     |  6 +++++
 src/vdbe.c            | 19 ++++++++++----
 src/vdbeInt.h         |  2 ++
 src/vdbemem.c         |  2 ++
 src/window.c          |  3 +++
 test/pg_common.tcl    |  4 +++
 test/window1.test     |  4 +++
 test/window2.tcl      |  2 ++
 test/window2.test     |  1 +
 test/window3.tcl      |  1 +
 test/window3.test     | 35 +++++++++++++-------------
 test/window4.tcl      |  1 +
 test/window4.test     |  1 +
 test/window5.test     |  7 +++++-
 test/windowfault.test |  4 +++
 tool/mkkeywordhash.c  | 23 ++++++++++-------
 26 files changed, 202 insertions(+), 78 deletions(-)

diff --git a/manifest b/manifest
index dfe0273672..7df71c9e35 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\slatest\strunk\schanges.
-D 2018-06-22T17:57:10.143
+C Omit\sall\swindow-function\srelated\scode\swhen\sbuilding\swith\sSQLITE_OMIT_WINDOWFUNC.
+D 2018-06-22T20:51:35.463
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -436,8 +436,8 @@ F src/auth.c a38f3c63c974787ecf75e3213f8cac6568b9a7af7591fb0372ec0517dd16dca8
 F src/backup.c 78d3cecfbe28230a3a9a1793e2ead609f469be43e8f486ca996006be551857ab
 F src/bitvec.c 17ea48eff8ba979f1f5b04cc484c7bb2be632f33
 F src/btmutex.c 8acc2f464ee76324bf13310df5692a262b801808984c1b79defb2503bbafadb6
-F src/btree.c 50425f7f26b10919bd14fa1af534b92c339bf7aac4b1ac8c70404f4e6f8220d8
-F src/btree.h 7b557914561f60a0eb76c2e22c23ab5b82f87b734a91c1b9385654b6474fdf7f
+F src/btree.c bb23e5470ec0c9b9ae8e17c86cb686bc4112642d8f457bd42b3b3727d5ef78be
+F src/btree.h febb2e817be499570b7a2e32a9bbb4b607a9234f6b84bb9ae84916d4806e96f2
 F src/btreeInt.h 620ab4c7235f43572cf3ac2ac8723cbdf68073be4d29da24897c7b77dda5fd96
 F src/build.c 3b3bfa88800739e1f11313dcecfba5ef8e4757b6c929cdf7de9fcfc01002b81f
 F src/callback.c 36caff1e7eb7deb58572d59c41cee8f064a11d00297616995c5050ea0cfc1288
@@ -447,10 +447,10 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 4aa7f26198934dbd002e69418220eae3dbc71b010bbac32bd78faf86b52ce6c3
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
-F src/expr.c 02e1fb65a7154e8e224cc50828472a336f01f98b6ae09467fe936e2a154d3433
+F src/expr.c 7e257eeffe9553c10a6ac0a1f0177bf740c4da834e7d6e2cbb7d3ebaa3d7f3e1
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c 1d070c30d12651c63b16ad418a348582655ef3d471bd0309d239f84635f07529
+F src/func.c d2c66d8ec930d53e9ecd0d6cbe210c1a70f0427bfc49624516fb97aae2f5cfe8
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 4350d8b79419158667d564177b47a7612bfc43601cc1da195a1faaf09c9ca3d3
+F src/parse.y 4661ac1382c18bc67e1680ea3e44a6835ebc770667fe32ee1720c38454304165
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -493,14 +493,14 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c e966ecc97c3671ff0e96227c8c877b83f2d33ea371ee190bbf1698b36b5605c0
 F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c a8cf3d6144f6a821f002dad72f80659691e827a96e6da6dedf8b263edefe3a80
+F src/resolve.c 0934ce541d3d0b2b9127e960bdabb3d2f837f1ef8f469453b712ff6b5dae8abe
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 99ad73c580aed9bc904894c804c9983c9f82b8426296f976f832ceb086babae1
+F src/select.c 3e165256910bdac86381adb41532b8603220f603706864264eb5e2b8bb0490de
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
 F src/sqlite.h.in 8dbfe617b70b01e661a9ba0b805facb1430df80096ea7508cf7903878b45e689
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h a67385b64a1c0fa21dfe333cf4c29d81f247df2cf09e22fcdc24db4ac486ff42
+F src/sqliteInt.h 74728a0b20e9d2173470186a8ca1e3229c79abb19d1ac4eedc4562e8905d798d
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -520,7 +520,7 @@ F src/test_backup.c bf5da90c9926df0a4b941f2d92825a01bbe090a0
 F src/test_bestindex.c 78809f11026f18a93fcfd798d9479cba37e1201c830260bf1edc674b2fa9b857
 F src/test_blob.c ae4a0620b478548afb67963095a7417cd06a4ec0a56adb453542203bfdcb31ce
 F src/test_btree.c 8b2dc8b8848cf3a4db93f11578f075e82252a274
-F src/test_config.c 097c6189803886a1fb26ec37d8bc62b90512cb53ab79a1fb6d35196c1ec42ded
+F src/test_config.c 6c3f341ece48020c4ddbce055643a91c653283b3a6853c46ea18d22e5c72847d
 F src/test_delete.c e2fe07646dff6300b48d49b2fee2fe192ed389e834dd635e3b3bac0ce0bf9f8f
 F src/test_demovfs.c a0c3bdd45ed044115c2c9f7779e56eafff18741e
 F src/test_devsym.c 1960abbb234b97e9b920f07e99503fc04b443f62bbc3c6ff2c2cea2133e3b8a2
@@ -566,13 +566,13 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c 16385bc816c97cc28c12ffa2151b8dc80617943b2e5871e7f0c9fdb4392c2c18
+F src/vdbe.c 37b942ccdd224dd51bd80312b8d236f27c7c728e76c3f425c50e9d8ecff3b7b4
 F src/vdbe.h 847735b3e083285aa225d2bf1fe97107a0a2b8942c80d643cdb764990705820d
-F src/vdbeInt.h d99f1c3da17b4ed271efc2f52898dd9a577dee077da47c2a014bc128f3cdba2a
+F src/vdbeInt.h 6b5cbd338dc9aaad343fb11b455e47463b0474d9f79710f50e647158941146e0
 F src/vdbeapi.c e35f813312b0f6e8e2835b357f121e0d1da6d3013bac3e367fe4efd518e7a2ec
 F src/vdbeaux.c c2d65c763b0811afe409e02e9d0d1f300c6e97892474fc94eec3da71955cd418
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
-F src/vdbemem.c b8f3bb3bed82774ee352fa3405c83de2fc3e528638adfd3d15fa9a0da5c03d07
+F src/vdbemem.c 87b48c0bd68041a61fb3f4e18a1a696f5339d65e572d288a266a602a01863f1a
 F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2f
 F src/vdbetrace.c 79d6dbbc479267b255a7de8080eee6e729928a0ef93ed9b0bfa5618875b48392
 F src/vtab.c 10ea07dec111de6fb0a4fc87a7ffa4c65fdc088a19dbfaf7d6f2b128f2e8eb7b
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c b4a22460e456bc87f9668414f1f0e48c3f1434dada5f247c34be03e613718199
+F src/window.c b444259848adb122bc991f73d74604a998ba96ec678a54e9ee9bd56bf10dc9b5
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1151,7 +1151,7 @@ F test/pcache.test c8acbedd3b6fd0f9a7ca887a83b11d24a007972b
 F test/pcache2.test af7f3deb1a819f77a6d0d81534e97d1cf62cd442
 F test/percentile.test 4243af26b8f3f4555abe166f723715a1f74c77ff
 F test/permutations.test 5c2167e03dc55ff697e11bb3abf10c66ba452e4afb2dbd85a2b144048355300e
-F test/pg_common.tcl 5cd48d499eacc5e2c446c2ed6e0774d2539f93f3d5fa184763cde02dd824d0c8
+F test/pg_common.tcl 3bf36b30d7b09e5896a1fb0268ace22f2ebfa91d07a422d8ffbf57551d9ce0dc
 F test/pragma.test 7c8cfc328a1717a95663cf8edb06c52ddfeaf97bb0aee69ae7457132e8d39e7d
 F test/pragma2.test e5d5c176360c321344249354c0c16aec46214c9f
 F test/pragma3.test 14c12bc5352b1e100e0b6b44f371053a81ccf8ed
@@ -1618,15 +1618,15 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test c4c138b1207bfdb5cd8edb2671f6e40040713b3e44bd156f6f8960bdf358ae2e
-F test/window2.tcl 0983de5eade5eeda49469244799d5331bfe3199fca3f6c6d2a836aa08f4fba1b
-F test/window2.test 79747b2edde4ad424e0752b27529aedc86e91f3d8d88846fa17ff0cb67f65086
-F test/window3.tcl c770a8a8eff32eec632d2745894bfdb2b732d6e450caa7258cf264196592429f
-F test/window3.test 3c2c768e053453dd12176df0d420b4a3b2661bf1116d67c926b1a0083608fe3e
-F test/window4.tcl 1ac3c81a214fc70288dcd68d13e7be7559f864964ce5607cb0e5c790158fead2
-F test/window4.test c07c80aa042fce3ced0300f01c403b06f1b728822a82516ef0febca0fdea2d74
-F test/window5.test fbf14119adb71a2640ec876436c5cc0c304a72f863bff41673c413a2a194646b
-F test/windowfault.test 9ca8fb3b6247677224ecc9d359e5821f8a20852740b669afb8539afbb985b6be
+F test/window1.test 6ec7d8927ae6ff3bf4cd496a6367f654c1b3f4f09a4b7bd2be029349480f8779
+F test/window2.tcl 9bfa842d8a62b0d36dc8c1b5972206393c43847433c6d75940b87fec93ce3143
+F test/window2.test 8e6d2a1b9f54dfebee1cde961c8590cd87b4db45c50f44947a211e1b63c2a05e
+F test/window3.tcl 9b82055c8977bdcab164fb4f71dabf86c511c9010c44f958352b610d313182c3
+F test/window3.test 47884c240d0d5234ad9c6da65452cfec1bfa69ec6f9c4158cd9750c3d88d3a25
+F test/window4.tcl e52914d7552b1111dfe5c9c3340a76dbeb00a69d867a31e45104d5d30bd47eb4
+F test/window4.test 1acdae592d25df5d50aae2ca077f87b29ff4169ca7fc5e08e1c119c88fdbeb8f
+F test/window5.test d97b5cd3763f80d876ae316272aaf0a41e650533c5d76c4310636b58deb8bcd3
+F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1671,7 +1671,7 @@ F tool/max-limits.c cbb635fbb37ae4d05f240bfb5b5270bb63c54439
 F tool/mkautoconfamal.sh 422fc365358a2e92876ffc62971a0ff28ed472fc8bcf9de0df921c736fdeca5e
 F tool/mkccode.tcl 86463e68ce9c15d3041610fedd285ce32a5cf7a58fc88b3202b8b76837650dbe x
 F tool/mkctimec.tcl dd183b73ae1c28249669741c250525f0407e579a70482371668fd5f130d9feb3
-F tool/mkkeywordhash.c a0fd254852ac92ddea42ea04d1f41d50298590fc1121a815ddeb18f9b2af4193
+F tool/mkkeywordhash.c 1f7f2ac1d9f262c08b67faaca47e6a68262ff39113fa4b27d1db2843b4c33e73
 F tool/mkmsvcmin.tcl cad0c7b54d7dd92bc87d59f36d4cc4f070eb2e625f14159dc2f5c4204e6a13ea
 F tool/mkopcodec.tcl d1b6362bd3aa80d5520d4d6f3765badf01f6c43c
 F tool/mkopcodeh.tcl 17d1ccc05a926e19e3a9679ea3e4d1aaa15ba753e2fa7363e6e81c80e0ef8b86
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P b84fbf16eac718c151731e2b2dcc73f2f2a144e3670f8566a30793f1e4e6a3ec
-R a94a75549a24c145ef6665f7c2007150
+P ebe65b2386a6132f4ef2cce6668a2da7db0798a70d2fba652882d5bccfd6672b
+R 924b3e72ed1815671f03b6858fe42c05
 U dan
-Z a5d17fec782a1e4141228b568759e47a
+Z e739bb8872ee786cb3980ab275490a2d
diff --git a/manifest.uuid b/manifest.uuid
index 742e91bddb..906a1522d5 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-ebe65b2386a6132f4ef2cce6668a2da7db0798a70d2fba652882d5bccfd6672b
\ No newline at end of file
+5f04b016467342b5a796bf702ed25b621eb86f2961c1e703d276c93f2cb6aa89
\ No newline at end of file
diff --git a/src/btree.c b/src/btree.c
index 35e13478b6..d2c580d11d 100644
--- a/src/btree.c
+++ b/src/btree.c
@@ -5190,12 +5190,14 @@ int sqlite3BtreeFirst(BtCursor *pCur, int *pRes){
 ** Otherwise, if pCur is valid, configure it so that the next call to
 ** sqlite3BtreeNext() is a no-op.
 */
+#ifndef SQLITE_OMIT_WINDOWFUNC
 void sqlite3BtreeSkipNext(BtCursor *pCur){
   if( pCur->eState==CURSOR_VALID ){
     pCur->eState = CURSOR_SKIPNEXT;
     pCur->skipNext = 1;
   }
 }
+#endif /* SQLITE_OMIT_WINDOWFUNC */
 
 /* Move the cursor to the last entry in the table.  Return SQLITE_OK
 ** on success.  Set *pRes to 0 if the cursor actually points to something
diff --git a/src/btree.h b/src/btree.h
index 0b97849796..f6cf55bad9 100644
--- a/src/btree.h
+++ b/src/btree.h
@@ -301,7 +301,9 @@ struct BtreePayload {
 int sqlite3BtreeInsert(BtCursor*, const BtreePayload *pPayload,
                        int flags, int seekResult);
 int sqlite3BtreeFirst(BtCursor*, int *pRes);
+#ifndef SQLITE_OMIT_WINDOWFUNC
 void sqlite3BtreeSkipNext(BtCursor*);
+#endif
 int sqlite3BtreeLast(BtCursor*, int *pRes);
 int sqlite3BtreeNext(BtCursor*, int flags);
 int sqlite3BtreeEof(BtCursor*);
diff --git a/src/expr.c b/src/expr.c
index 196942673e..24d1cb4109 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -772,7 +772,6 @@ Expr *sqlite3ExprAlloc(
     memset(pNew, 0, sizeof(Expr));
     pNew->op = (u8)op;
     pNew->iAgg = -1;
-    pNew->pWin = 0;
     if( pToken ){
       if( nExtra==0 ){
         pNew->flags |= EP_IntValue|EP_Leaf;
@@ -862,7 +861,6 @@ Expr *sqlite3PExpr(
       memset(p, 0, sizeof(Expr));
       p->op = op & TKFLG_MASK;
       p->iAgg = -1;
-      p->pWin = 0;
     }
     sqlite3ExprAttachSubtrees(pParse->db, p, pLeft, pRight);
   }
@@ -1128,7 +1126,11 @@ static int dupedExprStructSize(Expr *p, int flags){
   assert( flags==EXPRDUP_REDUCE || flags==0 ); /* Only one flag value allowed */
   assert( EXPR_FULLSIZE<=0xfff );
   assert( (0xfff & (EP_Reduced|EP_TokenOnly))==0 );
-  if( 0==flags || p->op==TK_SELECT_COLUMN || p->pWin ){
+  if( 0==flags || p->op==TK_SELECT_COLUMN 
+#ifndef SQLITE_OMIT_WINDOWFUNC
+   || p->pWin 
+#endif
+  ){
     nSize = EXPR_FULLSIZE;
   }else{
     assert( !ExprHasProperty(p, EP_TokenOnly|EP_Reduced) );
@@ -1268,11 +1270,13 @@ static Expr *exprDup(sqlite3 *db, Expr *p, int dupFlags, u8 **pzBuffer){
         *pzBuffer = zAlloc;
       }
     }else{
+#ifndef SQLITE_OMIT_WINDOWFUNC
       if( ExprHasProperty(p, EP_Reduced|EP_TokenOnly) ){
         pNew->pWin = 0;
       }else{
         pNew->pWin = sqlite3WindowDup(db, pNew, p->pWin);
       }
+#endif /* SQLITE_OMIT_WINDOWFUNC */
       if( !ExprHasProperty(p, EP_TokenOnly|EP_Leaf) ){
         if( pNew->op==TK_SELECT_COLUMN ){
           pNew->pLeft = p->pLeft;
@@ -1479,8 +1483,10 @@ Select *sqlite3SelectDup(sqlite3 *db, Select *pDup, int flags){
     pNew->addrOpenEphm[1] = -1;
     pNew->nSelectRow = p->nSelectRow;
     pNew->pWith = withDup(db, p->pWith);
+#ifndef SQLITE_OMIT_WINDOWFUNC
     pNew->pWin = 0;
     pNew->pWinDefn = sqlite3WindowListDup(db, p->pWinDefn);
+#endif
     sqlite3SelectSetName(pNew, p->zSelName);
     *pp = pNew;
     pp = &pNew->pPrior;
@@ -3800,9 +3806,11 @@ expr_code_doover:
       u8 enc = ENC(db);      /* The text encoding used by this database */
       CollSeq *pColl = 0;    /* A collating sequence */
 
+#ifndef SQLITE_OMIT_WINDOWFUNC
       if( !ExprHasProperty(pExpr, EP_TokenOnly|EP_Reduced) && pExpr->pWin ){
         return pExpr->pWin->regResult;
       }
+#endif
 
       if( ConstFactorOk(pParse) && sqlite3ExprIsConstantNotJoin(pExpr) ){
         /* SQL functions can be expensive. So try to move constant functions
diff --git a/src/func.c b/src/func.c
index 57a1f0ff42..c5dd6a58e0 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1513,6 +1513,7 @@ static void sumStep(sqlite3_context *context, int argc, sqlite3_value **argv){
     }
   }
 }
+#ifndef SQLITE_OMIT_WINDOWFUNC
 static void sumInverse(sqlite3_context *context, int argc, sqlite3_value**argv){
   SumCtx *p;
   int type;
@@ -1534,6 +1535,9 @@ static void sumInverse(sqlite3_context *context, int argc, sqlite3_value**argv){
     }
   }
 }
+#else
+# define sumInverse 0
+#endif /* SQLITE_OMIT_WINDOWFUNC */
 static void sumFinalize(sqlite3_context *context){
   SumCtx *p;
   p = sqlite3_aggregate_context(context, 0);
@@ -1646,9 +1650,13 @@ static void minMaxValueFinalize(sqlite3_context *context, int bValue){
     if( bValue==0 ) sqlite3VdbeMemRelease(pRes);
   }
 }
+#ifndef SQLITE_OMIT_WINDOWFUNC
 static void minMaxValue(sqlite3_context *context){
   return minMaxValueFinalize(context, 1);
 }
+#else
+# define minMaxValue 0
+#endif /* SQLITE_OMIT_WINDOWFUNC */
 static void minMaxFinalize(sqlite3_context *context){
   return minMaxValueFinalize(context, 0);
 }
@@ -1688,6 +1696,7 @@ static void groupConcatStep(
     if( zVal ) sqlite3_str_append(pAccum, zVal, nVal);
   }
 }
+#ifndef SQLITE_OMIT_WINDOWFUNC
 static void groupConcatInverse(
   sqlite3_context *context,
   int argc,
@@ -1712,6 +1721,9 @@ static void groupConcatInverse(
     if( pAccum->nChar==0 ) pAccum->mxAlloc = 0;
   }
 }
+#else
+# define groupConcatInverse 0
+#endif /* SQLITE_OMIT_WINDOWFUNC */
 static void groupConcatFinalize(sqlite3_context *context){
   StrAccum *pAccum;
   pAccum = sqlite3_aggregate_context(context, 0);
@@ -1726,6 +1738,7 @@ static void groupConcatFinalize(sqlite3_context *context){
     }
   }
 }
+#ifndef SQLITE_OMIT_WINDOWFUNC
 static void groupConcatValue(sqlite3_context *context){
   sqlite3_str *pAccum;
   pAccum = (sqlite3_str*)sqlite3_aggregate_context(context, 0);
@@ -1740,6 +1753,9 @@ static void groupConcatValue(sqlite3_context *context){
     }
   }
 }
+#else
+# define groupConcatValue 0
+#endif /* SQLITE_OMIT_WINDOWFUNC */
 
 /*
 ** This routine does per-connection function registration.  Most
diff --git a/src/parse.y b/src/parse.y
index d28ffc3fc9..b253480588 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -529,17 +529,22 @@ multiselect_op(A) ::= UNION ALL.             {A = TK_ALL;}
 multiselect_op(A) ::= EXCEPT|INTERSECT(OP).  {A = @OP; /*A-overwrites-OP*/}
 %endif SQLITE_OMIT_COMPOUND_SELECT
 oneselect(A) ::= SELECT(S) distinct(D) selcollist(W) from(X) where_opt(Y)
-                 groupby_opt(P) having_opt(Q) windowdefn_opt(R)
+                 groupby_opt(P) having_opt(Q) 
+%ifndef SQLITE_OMIT_WINDOWFUNC
+                 windowdefn_opt(R)
+%endif
                  orderby_opt(Z) limit_opt(L). {
 #if SELECTTRACE_ENABLED
   Token s = S; /*A-overwrites-S*/
 #endif
   A = sqlite3SelectNew(pParse,W,X,Y,P,Q,Z,D,L);
+#ifndef SQLITE_OMIT_WINDOWFUNC
   if( A ){
     A->pWinDefn = R;
   }else{
     sqlite3WindowListDelete(pParse->db, R);
   }
+#endif // SQLITE_OMIT_WINDOWFUNC
 #if SELECTTRACE_ENABLED
   /* Populate the Select.zSelName[] string that is used to help with
   ** query planner debugging, to differentiate between multiple Select
@@ -1011,7 +1016,11 @@ expr(A) ::= CAST LP expr(E) AS typetoken(T) RP. {
   sqlite3ExprAttachSubtrees(pParse->db, A, E, 0);
 }
 %endif  SQLITE_OMIT_CAST
-expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP over_opt(Z). {
+expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP 
+%ifndef SQLITE_OMIT_WINDOWFUNC
+  over_opt(Z)
+%endif
+. {
   if( Y && Y->nExpr>pParse->db->aLimit[SQLITE_LIMIT_FUNCTION_ARG] ){
     sqlite3ErrorMsg(pParse, "too many arguments on function %T", &X);
   }
@@ -1021,7 +1030,11 @@ expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP over_opt(Z). {
     A->flags |= EP_Distinct;
   }
 }
-expr(A) ::= id(X) LP STAR RP over_opt(Z). {
+expr(A) ::= id(X) LP STAR RP
+%ifndef SQLITE_OMIT_WINDOWFUNC
+  over_opt(Z)
+%endif
+. {
   A = sqlite3ExprFunction(pParse, 0, &X);
   sqlite3WindowAttach(pParse, A, Z);
 }
@@ -1029,6 +1042,8 @@ term(A) ::= CTIME_KW(OP). {
   A = sqlite3ExprFunction(pParse, 0, &OP);
 }
 
+%ifndef SQLITE_OMIT_WINDOWFUNC
+
 %type windowdefn_opt {Window*}
 %destructor windowdefn_opt {sqlite3WindowDelete(pParse->db, $$);}
 windowdefn_opt(A) ::= . { A = 0; }
@@ -1121,6 +1136,7 @@ frame_bound(A) ::= CURRENT ROW.         { A.eType = TK_CURRENT  ; A.pExpr = 0; }
 frame_bound(A) ::= expr(X) FOLLOWING.   { A.eType = TK_FOLLOWING; A.pExpr = X; }
 frame_bound(A) ::= UNBOUNDED FOLLOWING. { A.eType = TK_UNBOUNDED; A.pExpr = 0; }
 
+%endif // SQLITE_OMIT_WINDOWFUNC
 
 expr(A) ::= LP nexprlist(X) COMMA expr(Y) RP. {
   ExprList *pList = sqlite3ExprListAppend(pParse, X, Y);
diff --git a/src/resolve.c b/src/resolve.c
index 221564f9d3..84ec6598e0 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -757,6 +757,7 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
         }
       }
 
+#ifndef SQLITE_OMIT_WINDOWFUNC
       if( is_agg==0 && pExpr->pWin ){
         sqlite3ErrorMsg(pParse, 
             "%.*s() may not be used as a window function", nId, zId
@@ -773,6 +774,10 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
         }else{
           zType = "aggregate";
         }
+#else
+      if( (is_agg && (pNC->ncFlags & NC_AllowAgg)==0) ){
+        const char *zType = "aggregate";
+#endif
         sqlite3ErrorMsg(pParse, "misuse of %s function %.*s()", zType, nId,zId);
         pNC->nErr++;
         is_agg = 0;
@@ -791,6 +796,7 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
       if( is_agg ) pNC->ncFlags &= ~NC_AllowAgg;
       sqlite3WalkExprList(pWalker, pList);
       if( is_agg ){
+#ifndef SQLITE_OMIT_WINDOWFUNC
         if( pExpr->pWin ){
           Select *pSel = pNC->pWinSelect;
           sqlite3WindowUpdate(pParse, pSel->pWinDefn, pExpr->pWin, pDef);
@@ -800,7 +806,9 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
             pExpr->pWin->pNextWin = pSel->pWin;
             pSel->pWin = pExpr->pWin;
           }
-        }else{
+        }else
+#endif /* SQLITE_OMIT_WINDOWFUNC */
+        {
           NameContext *pNC2 = pNC;
           pExpr->op = TK_AGG_FUNCTION;
           pExpr->op2 = 0;
@@ -1264,7 +1272,6 @@ static int resolveSelectStep(Walker *pWalker, Select *p){
   nCompound = 0;
   pLeftmost = p;
   while( p ){
-    assert( p->pWin==0 );
     assert( (p->selFlags & SF_Expanded)!=0 );
     assert( (p->selFlags & SF_Resolved)==0 );
     p->selFlags |= SF_Resolved;
diff --git a/src/select.c b/src/select.c
index 2c07504089..43228b65f0 100644
--- a/src/select.c
+++ b/src/select.c
@@ -96,9 +96,11 @@ static void clearSelect(sqlite3 *db, Select *p, int bFree){
     sqlite3ExprDelete(db, p->pHaving);
     sqlite3ExprListDelete(db, p->pOrderBy);
     sqlite3ExprDelete(db, p->pLimit);
+#ifndef SQLITE_OMIT_WINDOWFUNC
     if( OK_IF_ALWAYS_TRUE(p->pWinDefn) ){
       sqlite3WindowListDelete(db, p->pWinDefn);
     }
+#endif
     if( OK_IF_ALWAYS_TRUE(p->pWith) ) sqlite3WithDelete(db, p->pWith);
     if( bFree ) sqlite3DbFreeNN(db, p);
     p = pPrior;
@@ -165,8 +167,10 @@ Select *sqlite3SelectNew(
   pNew->pNext = 0;
   pNew->pLimit = pLimit;
   pNew->pWith = 0;
+#ifndef SQLITE_OMIT_WINDOWFUNC
   pNew->pWin = 0;
   pNew->pWinDefn = 0;
+#endif
   if( pParse->db->mallocFailed ) {
     clearSelect(pParse->db, pNew, pNew!=&standin);
     pNew = 0;
@@ -3720,7 +3724,9 @@ static int flattenSubquery(
   pSub = pSubitem->pSelect;
   assert( pSub!=0 );
 
+#ifndef SQLITE_OMIT_WINDOWFUNC
   if( p->pWin || pSub->pWin ) return 0;                  /* Restriction (25) */
+#endif
 
   pSubSrc = pSub->pSrc;
   assert( pSubSrc );
@@ -5487,7 +5493,8 @@ int sqlite3Select(
     generateColumnNames(pParse, p);
   }
 
-  if( (rc = sqlite3WindowRewrite(pParse, p)) ){
+#ifndef SQLITE_OMIT_WINDOWFUNC
+  if( sqlite3WindowRewrite(pParse, p) ){
     goto select_end;
   }
 #if SELECTTRACE_ENABLED
@@ -5496,6 +5503,7 @@ int sqlite3Select(
     sqlite3TreeViewSelect(0, p, 0);
   }
 #endif
+#endif /* SQLITE_OMIT_WINDOWFUNC */
   pTabList = p->pSrc;
   isAgg = (p->selFlags & SF_Aggregate)!=0;
 
@@ -5873,16 +5881,17 @@ int sqlite3Select(
   }
 
   if( !isAgg && pGroupBy==0 ){
-    Window *pWin = p->pWin;      /* Master window object (or NULL) */
-
     /* No aggregate functions and no GROUP BY clause */
-    u16 wctrlFlags = (sDistinct.isTnct ? WHERE_WANT_DISTINCT : 0);
-    assert( WHERE_USE_LIMIT==SF_FixedLimit );
-    wctrlFlags |= p->selFlags & SF_FixedLimit;
-
+    u16 wctrlFlags = (sDistinct.isTnct ? WHERE_WANT_DISTINCT : 0)
+                   | (p->selFlags & SF_FixedLimit);
+#ifndef SQLITE_OMIT_WINDOWFUNC
+    Window *pWin = p->pWin;      /* Master window object (or NULL) */
     if( pWin ){
       sqlite3WindowCodeInit(pParse, pWin);
     }
+#endif
+    assert( WHERE_USE_LIMIT==SF_FixedLimit );
+
 
     /* Begin the database scan. */
     SELECTTRACE(1,pParse,p,("WhereBegin\n"));
@@ -5912,6 +5921,7 @@ int sqlite3Select(
     }
 
     assert( p->pEList==pEList );
+#ifndef SQLITE_OMIT_WINDOWFUNC
     if( pWin ){
       int addrGosub = sqlite3VdbeMakeLabel(v);
       int iCont = sqlite3VdbeMakeLabel(v);
@@ -5927,7 +5937,9 @@ int sqlite3Select(
       sqlite3VdbeAddOp1(v, OP_Return, regGosub);
       sqlite3VdbeJumpHere(v, addr);
 
-    }else{
+    }else
+#endif /* SQLITE_OMIT_WINDOWFUNC */
+    {
       /* Use the standard inner loop. */
       selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest,
           sqlite3WhereContinueLabel(pWInfo),
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 294aaef415..9fab8f5590 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -2466,7 +2466,9 @@ struct Expr {
   AggInfo *pAggInfo;     /* Used by TK_AGG_COLUMN and TK_AGG_FUNCTION */
   Table *pTab;           /* Table for TK_COLUMN expressions.  Can be NULL
                          ** for a column of an index on an expression */
+#ifndef SQLITE_OMIT_WINDOWFUNC
   Window *pWin;          /* Window definition for window functions */
+#endif
 };
 
 /*
@@ -2819,8 +2821,10 @@ struct Select {
   Select *pNext;         /* Next select to the left in a compound */
   Expr *pLimit;          /* LIMIT expression. NULL means not used. */
   With *pWith;           /* WITH clause attached to this select. Or NULL. */
+#ifndef SQLITE_OMIT_WINDOWFUNC
   Window *pWin;          /* List of window functions */
   Window *pWinDefn;      /* List of named window definitions */
+#endif
 };
 
 /*
@@ -3517,6 +3521,7 @@ struct Window {
   int iArgCol;            /* Offset of first argument for this function */
 };
 
+#ifndef SQLITE_OMIT_WINDOWFUNC
 void sqlite3WindowDelete(sqlite3*, Window*);
 void sqlite3WindowListDelete(sqlite3 *db, Window *p);
 Window *sqlite3WindowAlloc(Parse*, int, int, Expr*, int , Expr*);
@@ -3530,6 +3535,11 @@ void sqlite3WindowUpdate(Parse*, Window*, Window*, FuncDef*);
 Window *sqlite3WindowDup(sqlite3 *db, Expr *pOwner, Window *p);
 Window *sqlite3WindowListDup(sqlite3 *db, Window *p);
 void sqlite3WindowFunctions(void);
+#else
+# define sqlite3WindowDelete(a,b)
+# define sqlite3WindowFunctions()
+# define sqlite3WindowAttach(a,b,c)
+#endif
 
 /*
 ** Assuming zIn points to the first byte of a UTF-8 character,
diff --git a/src/test_config.c b/src/test_config.c
index aa0626ab2d..d1837d4853 100644
--- a/src/test_config.c
+++ b/src/test_config.c
@@ -762,6 +762,12 @@ Tcl_SetVar2(interp, "sqlite_options", "mergesort", "1", TCL_GLOBAL_ONLY);
   Tcl_SetVar2(interp, "sqlite_options", "uri_00_error", "0", TCL_GLOBAL_ONLY);
 #endif
 
+#ifdef SQLITE_OMIT_WINDOWFUNC
+  Tcl_SetVar2(interp, "sqlite_options", "windowfunc", "0", TCL_GLOBAL_ONLY);
+#else
+  Tcl_SetVar2(interp, "sqlite_options", "windowfunc", "1", TCL_GLOBAL_ONLY);
+#endif
+
 #define LINKVAR(x) { \
     static const int cv_ ## x = SQLITE_ ## x; \
     Tcl_LinkVar(interp, "SQLITE_" #x, (char *)&(cv_ ## x), \
diff --git a/src/vdbe.c b/src/vdbe.c
index 2c8920ff44..6eb5f95024 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -5118,7 +5118,9 @@ case OP_Rewind: {        /* jump */
     pCrsr = pC->uc.pCursor;
     assert( pCrsr );
     rc = sqlite3BtreeFirst(pCrsr, &res);
+#ifndef SQLITE_OMIT_WINDOWFUNC
     if( pOp->p5 ) sqlite3BtreeSkipNext(pCrsr);
+#endif
     pC->deferredMoveto = 0;
     pC->cacheStatus = CACHE_STALE;
   }
@@ -6369,8 +6371,13 @@ case OP_AggStep: {
   assert( pCtx->pOut->flags==MEM_Null );
   assert( pCtx->isError==0 );
   assert( pCtx->skipFlag==0 );
-  (pOp->p1 ? (pCtx->pFunc->xInverse) : (pCtx->pFunc->xSFunc))
-    (pCtx,pCtx->argc,pCtx->argv); /* IMP: R-24505-23230 */
+#ifndef SQLITE_OMIT_WINDOWFUNC
+  if( pOp->p1 ){
+    (pCtx->pFunc->xInverse)(pCtx,pCtx->argc,pCtx->argv);
+  }else
+#endif
+  (pCtx->pFunc->xSFunc)(pCtx,pCtx->argc,pCtx->argv); /* IMP: R-24505-23230 */
+
   if( pCtx->isError ){
     if( pCtx->isError>0 ){
       sqlite3VdbeError(p, "%s", sqlite3_value_text(pCtx->pOut));
@@ -6412,12 +6419,14 @@ case OP_AggFinal: {
   assert( pOp->p1>0 && pOp->p1<=(p->nMem+1 - p->nCursor) );
   pMem = &aMem[pOp->p1];
   assert( (pMem->flags & ~(MEM_Null|MEM_Agg))==0 );
+#ifndef SQLITE_OMIT_WINDOWFUNC
   if( pOp->p3 ){
     rc = sqlite3VdbeMemAggValue(pMem, &aMem[pOp->p3], pOp->p4.pFunc);
     pMem = &aMem[pOp->p3];
-  }else{
-    rc = sqlite3VdbeMemFinalize(pMem, pOp->p4.pFunc);
-  }
+  }else
+#endif
+  rc = sqlite3VdbeMemFinalize(pMem, pOp->p4.pFunc);
+  
   if( rc ){
     sqlite3VdbeError(p, "%s", sqlite3_value_text(pMem));
     goto abort_due_to_error;
diff --git a/src/vdbeInt.h b/src/vdbeInt.h
index b0008c3d3a..d6c566027a 100644
--- a/src/vdbeInt.h
+++ b/src/vdbeInt.h
@@ -497,7 +497,9 @@ void sqlite3VdbeMemCast(Mem*,u8,u8);
 int sqlite3VdbeMemFromBtree(BtCursor*,u32,u32,Mem*);
 void sqlite3VdbeMemRelease(Mem *p);
 int sqlite3VdbeMemFinalize(Mem*, FuncDef*);
+#ifndef SQLITE_OMIT_WINDOWFUNC
 int sqlite3VdbeMemAggValue(Mem*, Mem*, FuncDef*);
+#endif
 const char *sqlite3OpcodeName(int);
 int sqlite3VdbeMemGrow(Mem *pMem, int n, int preserve);
 int sqlite3VdbeMemClearAndResize(Mem *pMem, int n);
diff --git a/src/vdbemem.c b/src/vdbemem.c
index 6e0f8d6e07..dc0a3f9702 100644
--- a/src/vdbemem.c
+++ b/src/vdbemem.c
@@ -423,6 +423,7 @@ int sqlite3VdbeMemFinalize(Mem *pMem, FuncDef *pFunc){
 ** SQLITE_ERROR is returned if xValue() reports an error. SQLITE_OK 
 ** otherwise.
 */
+#ifndef SQLITE_OMIT_WINDOWFUNC
 int sqlite3VdbeMemAggValue(Mem *pAccum, Mem *pOut, FuncDef *pFunc){
   sqlite3_context ctx;
   Mem t;
@@ -440,6 +441,7 @@ int sqlite3VdbeMemAggValue(Mem *pAccum, Mem *pOut, FuncDef *pFunc){
   pFunc->xValue(&ctx);
   return ctx.isError;
 }
+#endif /* SQLITE_OMIT_WINDOWFUNC */
 
 /*
 ** If the memory cell contains a value that must be freed by
diff --git a/src/window.c b/src/window.c
index ff65d150e0..5aa8800111 100644
--- a/src/window.c
+++ b/src/window.c
@@ -12,6 +12,8 @@
 */
 #include "sqliteInt.h"
 
+#ifndef SQLITE_OMIT_WINDOWFUNC
+
 /*
 ** SELECT REWRITING
 **
@@ -2066,3 +2068,4 @@ void sqlite3WindowCodeStep(
   }
 }
 
+#endif /* SQLITE_OMIT_WINDOWFUNC */
diff --git a/test/pg_common.tcl b/test/pg_common.tcl
index c957b433cc..d2622320fe 100644
--- a/test/pg_common.tcl
+++ b/test/pg_common.tcl
@@ -131,3 +131,7 @@ proc finish_test {} {
   close $::fd
 }
 
+proc ifcapable {arg} {
+   puts $::fd "ifcapable $arg { finish_test ; return }"
+}
+
diff --git a/test/window1.test b/test/window1.test
index 4d462a7b8b..c0dcfffed7 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -15,6 +15,10 @@ set testdir [file dirname $argv0]
 source $testdir/tester.tcl
 set testprefix window1
 
+ifcapable !windowfunc {
+  finish_test
+  return
+}
 
 do_execsql_test 1.0 {
   CREATE TABLE t1(a, b, c, d);
diff --git a/test/window2.tcl b/test/window2.tcl
index 32c0d4ca19..48fcdaea40 100644
--- a/test/window2.tcl
+++ b/test/window2.tcl
@@ -17,6 +17,8 @@ source [file join [file dirname $argv0] pg_common.tcl]
 
 start_test window2 "2018 May 19"
 
+ifcapable !windowfunc
+
 execsql_test 1.0 {
   DROP TABLE IF EXISTS t1;
   CREATE TABLE t1(a INTEGER PRIMARY KEY, b TEXT, c TEXT, d INTEGER);
diff --git a/test/window2.test b/test/window2.test
index e00421706c..086e56603d 100644
--- a/test/window2.test
+++ b/test/window2.test
@@ -19,6 +19,7 @@ set testdir [file dirname $argv0]
 source $testdir/tester.tcl
 set testprefix window2
 
+ifcapable !windowfunc { finish_test ; return }
 do_execsql_test 1.0 {
   DROP TABLE IF EXISTS t1;
   CREATE TABLE t1(a INTEGER PRIMARY KEY, b TEXT, c TEXT, d INTEGER);
diff --git a/test/window3.tcl b/test/window3.tcl
index 79975cc77a..bfaaeeaef0 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -15,6 +15,7 @@ source [file join [file dirname $argv0] pg_common.tcl]
 #=========================================================================
 
 start_test window3 "2018 May 31"
+ifcapable !windowfunc
 
 execsql_test 1.0 {
   DROP TABLE IF EXISTS t2;
diff --git a/test/window3.test b/test/window3.test
index 0d4bdef7e8..5d21e43a22 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -19,6 +19,7 @@ set testdir [file dirname $argv0]
 source $testdir/tester.tcl
 set testprefix window3
 
+ifcapable !windowfunc { finish_test ; return }
 do_execsql_test 1.0 {
   DROP TABLE IF EXISTS t2;
   CREATE TABLE t2(a INTEGER PRIMARY KEY, b INTEGER);
@@ -277,7 +278,7 @@ do_test 1.1.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.1.8.6 {
+do_test 1.1.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -669,7 +670,7 @@ do_test 1.2.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.2.8.6 {
+do_test 1.2.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -1061,7 +1062,7 @@ do_test 1.3.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.3.8.6 {
+do_test 1.3.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -1453,7 +1454,7 @@ do_test 1.4.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.4.8.6 {
+do_test 1.4.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -1845,7 +1846,7 @@ do_test 1.5.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.5.8.6 {
+do_test 1.5.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -2237,7 +2238,7 @@ do_test 1.6.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.6.8.6 {
+do_test 1.6.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -2629,7 +2630,7 @@ do_test 1.7.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.7.8.6 {
+do_test 1.7.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -3021,7 +3022,7 @@ do_test 1.8.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.8.8.6 {
+do_test 1.8.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -3413,7 +3414,7 @@ do_test 1.9.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.9.8.6 {
+do_test 1.9.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -3805,7 +3806,7 @@ do_test 1.10.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.10.8.6 {
+do_test 1.10.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -4197,7 +4198,7 @@ do_test 1.11.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.11.8.6 {
+do_test 1.11.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -4589,7 +4590,7 @@ do_test 1.12.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.12.8.6 {
+do_test 1.12.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -4981,7 +4982,7 @@ do_test 1.13.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.13.8.6 {
+do_test 1.13.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -5373,7 +5374,7 @@ do_test 1.14.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.14.8.6 {
+do_test 1.14.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -5765,7 +5766,7 @@ do_test 1.15.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.15.8.6 {
+do_test 1.15.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -6157,7 +6158,7 @@ do_test 1.16.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.16.8.6 {
+do_test 1.16.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
@@ -6549,7 +6550,7 @@ do_test 1.17.8.6 {
   set myres
 } {1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00}
 
-do_test 1.17.8.6 {
+do_test 1.17.8.7 {
   set myres {}
   foreach r [db eval {SELECT ntile(105) OVER ( ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2}] {
     lappend myres [format %.2f [set r]]
diff --git a/test/window4.tcl b/test/window4.tcl
index aae7298c1c..e8a68056a0 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -15,6 +15,7 @@ source [file join [file dirname $argv0] pg_common.tcl]
 #=========================================================================
 
 start_test window4 "2018 June 04"
+ifcapable !windowfunc
 
 execsql_test 1.0 {
   DROP TABLE IF EXISTS t3;
diff --git a/test/window4.test b/test/window4.test
index 374f6577c1..6df6162c15 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -19,6 +19,7 @@ set testdir [file dirname $argv0]
 source $testdir/tester.tcl
 set testprefix window4
 
+ifcapable !windowfunc { finish_test ; return }
 do_execsql_test 1.0 {
   DROP TABLE IF EXISTS t3;
   CREATE TABLE t3(a TEXT PRIMARY KEY);
diff --git a/test/window5.test b/test/window5.test
index a09f4e2396..f964a13164 100644
--- a/test/window5.test
+++ b/test/window5.test
@@ -14,7 +14,12 @@
 
 set testdir [file dirname $argv0]
 source $testdir/tester.tcl
-set testprefix window1
+set testprefix window5
+
+ifcapable !windowfunc {
+  finish_test
+  return
+}
 
 proc m_step {ctx val} {
   lappend ctx $val
diff --git a/test/windowfault.test b/test/windowfault.test
index 80668b19f6..73d63a98fe 100644
--- a/test/windowfault.test
+++ b/test/windowfault.test
@@ -15,6 +15,10 @@ set testdir [file dirname $argv0]
 source $testdir/tester.tcl
 set testprefix windowfault
 
+ifcapable !windowfunc {
+  finish_test
+  return
+}
 
 do_execsql_test 1.0 {
   CREATE TABLE t1(a, b, c, d);
diff --git a/tool/mkkeywordhash.c b/tool/mkkeywordhash.c
index 86b0b7dd6b..7ef4cbb6ae 100644
--- a/tool/mkkeywordhash.c
+++ b/tool/mkkeywordhash.c
@@ -148,6 +148,11 @@ struct Keyword {
 #else
 #  define UPSERT     0x00080000
 #endif
+#ifdef SQLITE_OMIT_WINDOWFUNC
+#  define WINDOWFUNC 0
+#else
+#  define WINDOWFUNC 0x00100000
+#endif
 
 /*
 ** These are the keywords
@@ -180,7 +185,7 @@ static Keyword aKeywordTable[] = {
   { "CONSTRAINT",       "TK_CONSTRAINT",   ALWAYS                 },
   { "CREATE",           "TK_CREATE",       ALWAYS                 },
   { "CROSS",            "TK_JOIN_KW",      ALWAYS                 },
-  { "CURRENT",          "TK_CURRENT",      ALWAYS                 },
+  { "CURRENT",          "TK_CURRENT",      WINDOWFUNC             },
   { "CURRENT_DATE",     "TK_CTIME_KW",     ALWAYS                 },
   { "CURRENT_TIME",     "TK_CTIME_KW",     ALWAYS                 },
   { "CURRENT_TIMESTAMP","TK_CTIME_KW",     ALWAYS                 },
@@ -203,8 +208,8 @@ static Keyword aKeywordTable[] = {
   { "EXISTS",           "TK_EXISTS",       ALWAYS                 },
   { "EXPLAIN",          "TK_EXPLAIN",      EXPLAIN                },
   { "FAIL",             "TK_FAIL",         CONFLICT|TRIGGER       },
-  { "FILTER",           "TK_FILTER",       ALWAYS                 },
-  { "FOLLOWING",        "TK_FOLLOWING",    ALWAYS                 },
+  { "FILTER",           "TK_FILTER",       WINDOWFUNC             },
+  { "FOLLOWING",        "TK_FOLLOWING",    WINDOWFUNC             },
   { "FOR",              "TK_FOR",          TRIGGER                },
   { "FOREIGN",          "TK_FOREIGN",      FKEY                   },
   { "FROM",             "TK_FROM",         ALWAYS                 },
@@ -244,15 +249,15 @@ static Keyword aKeywordTable[] = {
   { "OR",               "TK_OR",           ALWAYS                 },
   { "ORDER",            "TK_ORDER",        ALWAYS                 },
   { "OUTER",            "TK_JOIN_KW",      ALWAYS                 },
-  { "OVER",             "TK_OVER",         ALWAYS                 },
-  { "PARTITION",        "TK_PARTITION",    ALWAYS                 },
+  { "OVER",             "TK_OVER",         WINDOWFUNC             },
+  { "PARTITION",        "TK_PARTITION",    WINDOWFUNC             },
   { "PLAN",             "TK_PLAN",         EXPLAIN                },
   { "PRAGMA",           "TK_PRAGMA",       PRAGMA                 },
-  { "PRECEDING",        "TK_PRECEDING",    ALWAYS                 },
+  { "PRECEDING",        "TK_PRECEDING",    WINDOWFUNC             },
   { "PRIMARY",          "TK_PRIMARY",      ALWAYS                 },
   { "QUERY",            "TK_QUERY",        EXPLAIN                },
   { "RAISE",            "TK_RAISE",        TRIGGER                },
-  { "RANGE",            "TK_RANGE",        ALWAYS                 },
+  { "RANGE",            "TK_RANGE",        WINDOWFUNC             },
   { "RECURSIVE",        "TK_RECURSIVE",    CTE                    },
   { "REFERENCES",       "TK_REFERENCES",   FKEY                   },
   { "REGEXP",           "TK_LIKE_KW",      ALWAYS                 },
@@ -275,7 +280,7 @@ static Keyword aKeywordTable[] = {
   { "TO",               "TK_TO",           ALWAYS                 },
   { "TRANSACTION",      "TK_TRANSACTION",  ALWAYS                 },
   { "TRIGGER",          "TK_TRIGGER",      TRIGGER                },
-  { "UNBOUNDED",        "TK_UNBOUNDED",    ALWAYS                 },
+  { "UNBOUNDED",        "TK_UNBOUNDED",    WINDOWFUNC             },
   { "UNION",            "TK_UNION",        COMPOUND               },
   { "UNIQUE",           "TK_UNIQUE",       ALWAYS                 },
   { "UPDATE",           "TK_UPDATE",       ALWAYS                 },
@@ -284,7 +289,7 @@ static Keyword aKeywordTable[] = {
   { "VALUES",           "TK_VALUES",       ALWAYS                 },
   { "VIEW",             "TK_VIEW",         VIEW                   },
   { "VIRTUAL",          "TK_VIRTUAL",      VTAB                   },
-  { "WINDOW",           "TK_WINDOW",       ALWAYS                 },
+  { "WINDOW",           "TK_WINDOW",       WINDOWFUNC             },
   { "WITH",             "TK_WITH",         CTE                    },
   { "WITHOUT",          "TK_WITHOUT",      ALWAYS                 },
   { "WHEN",             "TK_WHEN",         ALWAYS                 },

From ce1037352dcfa7d3e4ae0fbbc12ee3637929dc73 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 23 Jun 2018 07:59:39 +0000
Subject: [PATCH 094/154] Fix a problem with using a window-function SELECT as
 a FROM clause sub-query in some circumstances.

FossilOrigin-Name: 11d733396f75ef1f206cd6f35630ff176484279861772918b9ea69412c13c62d
---
 manifest          | 14 +++++++-------
 manifest.uuid     |  2 +-
 src/select.c      | 10 +++++++++-
 test/window1.test | 32 ++++++++++++++++++++++++++++++++
 4 files changed, 49 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index 7df71c9e35..149e72f424 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Omit\sall\swindow-function\srelated\scode\swhen\sbuilding\swith\sSQLITE_OMIT_WINDOWFUNC.
-D 2018-06-22T20:51:35.463
+C Fix\sa\sproblem\swith\susing\sa\swindow-function\sSELECT\sas\sa\sFROM\sclause\ssub-query\nin\ssome\scircumstances.
+D 2018-06-23T07:59:39.627
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -495,7 +495,7 @@ F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 0934ce541d3d0b2b9127e960bdabb3d2f837f1ef8f469453b712ff6b5dae8abe
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 3e165256910bdac86381adb41532b8603220f603706864264eb5e2b8bb0490de
+F src/select.c 3056565056dfc1281bca7da99c205cbce359cf5e1d49134b370cbbc2c0c40807
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
 F src/sqlite.h.in 8dbfe617b70b01e661a9ba0b805facb1430df80096ea7508cf7903878b45e689
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
@@ -1618,7 +1618,7 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 6ec7d8927ae6ff3bf4cd496a6367f654c1b3f4f09a4b7bd2be029349480f8779
+F test/window1.test ebb246c830432c225c6be5c72a785370b3f04053cb1eb3a615bb2dfe25e5454b
 F test/window2.tcl 9bfa842d8a62b0d36dc8c1b5972206393c43847433c6d75940b87fec93ce3143
 F test/window2.test 8e6d2a1b9f54dfebee1cde961c8590cd87b4db45c50f44947a211e1b63c2a05e
 F test/window3.tcl 9b82055c8977bdcab164fb4f71dabf86c511c9010c44f958352b610d313182c3
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P ebe65b2386a6132f4ef2cce6668a2da7db0798a70d2fba652882d5bccfd6672b
-R 924b3e72ed1815671f03b6858fe42c05
+P 5f04b016467342b5a796bf702ed25b621eb86f2961c1e703d276c93f2cb6aa89
+R 87cd123213468be347dfe04f90b835d5
 U dan
-Z e739bb8872ee786cb3980ab275490a2d
+Z c259eeea26c0b2a0a6b65320d3361c69
diff --git a/manifest.uuid b/manifest.uuid
index 906a1522d5..250d2b3dfe 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-5f04b016467342b5a796bf702ed25b621eb86f2961c1e703d276c93f2cb6aa89
\ No newline at end of file
+11d733396f75ef1f206cd6f35630ff176484279861772918b9ea69412c13c62d
\ No newline at end of file
diff --git a/src/select.c b/src/select.c
index 43228b65f0..2928445562 100644
--- a/src/select.c
+++ b/src/select.c
@@ -4118,7 +4118,7 @@ static int flattenSubquery(
 **   (2) The inner query is the recursive part of a common table expression.
 **
 **   (3) The inner query has a LIMIT clause (since the changes to the WHERE
-**       close would change the meaning of the LIMIT).
+**       clause would change the meaning of the LIMIT).
 **
 **   (4) The inner query is the right operand of a LEFT JOIN and the
 **       expression to be pushed down does not come from the ON clause
@@ -4137,6 +4137,10 @@ static int flattenSubquery(
 **       But if the (b2=2) term were to be pushed down into the bb subquery,
 **       then the (1,1,NULL) row would be suppressed.
 **
+**   (6) The inner query features one or more window-functions (since 
+**       changes to the WHERE clause of the inner query could change the 
+**       window over which window functions are calculated).
+**
 ** Return 0 if no changes are made and non-zero if one or more WHERE clause
 ** terms are duplicated into the subquery.
 */
@@ -4152,6 +4156,10 @@ static int pushDownWhereTerms(
   if( pWhere==0 ) return 0;
   if( pSubq->selFlags & SF_Recursive ) return 0;  /* restriction (2) */
 
+#ifndef SQLITE_OMIT_WINDOWFUNC
+  if( pSubq->pWin ) return 0;
+#endif
+
 #ifdef SQLITE_DEBUG
   /* Only the first term of a compound can have a WITH clause.  But make
   ** sure no other terms are marked SF_Recursive in case something changes
diff --git a/test/window1.test b/test/window1.test
index c0dcfffed7..f7c3a0ee29 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -371,5 +371,37 @@ do_execsql_test 9.3 {
   SELECT *, min(z) OVER (ORDER BY x) FROM aaa ORDER BY 1;
 } {1 g g g   2 i i g   3 l l g   4 g l g   5 a l g   6 m m g}
 
+#-------------------------------------------------------------------------
+#
+do_execsql_test 10.0 {
+  CREATE TABLE sales(emp TEXT PRIMARY KEY, region, total);
+  INSERT INTO sales VALUES
+      ('Alice',     'North', 34),
+      ('Frank',     'South', 22),
+      ('Charles',   'North', 45),
+      ('Darrell',   'South', 8),
+      ('Grant',     'South', 23),
+      ('Brad' ,     'North', 22),
+      ('Elizabeth', 'South', 99),
+      ('Horace',    'East',   1);
+}
+
+# Best two salespeople from each region
+#
+do_execsql_test 10.1 {
+  SELECT emp, region, total FROM (
+    SELECT 
+      emp, region, total,
+      row_number() OVER (PARTITION BY region ORDER BY total DESC) AS rank
+    FROM sales
+  ) WHERE rank<=2 ORDER BY region, total DESC
+} {
+  Horace      East     1
+  Charles     North   45
+  Alice       North   34
+  Elizabeth   South   99
+  Grant       South   23
+}
+
 finish_test
 

From efa3a3c9cc0c0530a52feb9085d82347466d8f11 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 23 Jun 2018 16:26:20 +0000
Subject: [PATCH 095/154] Fix a problem with using LIMIT in window-function
 queries.

FossilOrigin-Name: c1abd2dda4154cb573bdf627cdef794d3697f874c3b70357aaf5e4ed95ad1d5c
---
 manifest          | 14 +++++++-------
 manifest.uuid     |  2 +-
 src/select.c      |  9 ++++-----
 test/window1.test | 38 ++++++++++++++++++++++++++++++++++++++
 4 files changed, 50 insertions(+), 13 deletions(-)

diff --git a/manifest b/manifest
index 149e72f424..af7f3d41bd 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\sproblem\swith\susing\sa\swindow-function\sSELECT\sas\sa\sFROM\sclause\ssub-query\nin\ssome\scircumstances.
-D 2018-06-23T07:59:39.627
+C Fix\sa\sproblem\swith\susing\sLIMIT\sin\swindow-function\squeries.
+D 2018-06-23T16:26:20.289
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -495,7 +495,7 @@ F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 0934ce541d3d0b2b9127e960bdabb3d2f837f1ef8f469453b712ff6b5dae8abe
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 3056565056dfc1281bca7da99c205cbce359cf5e1d49134b370cbbc2c0c40807
+F src/select.c e364e5ea8f2b61da53800a56c9ea5d26e9ddf667f10b9459112e26607df5b62c
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
 F src/sqlite.h.in 8dbfe617b70b01e661a9ba0b805facb1430df80096ea7508cf7903878b45e689
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
@@ -1618,7 +1618,7 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test ebb246c830432c225c6be5c72a785370b3f04053cb1eb3a615bb2dfe25e5454b
+F test/window1.test a28ea12169f00e3d432682d839e3782c494d946d5242b25c677b2e485a2ae291
 F test/window2.tcl 9bfa842d8a62b0d36dc8c1b5972206393c43847433c6d75940b87fec93ce3143
 F test/window2.test 8e6d2a1b9f54dfebee1cde961c8590cd87b4db45c50f44947a211e1b63c2a05e
 F test/window3.tcl 9b82055c8977bdcab164fb4f71dabf86c511c9010c44f958352b610d313182c3
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 5f04b016467342b5a796bf702ed25b621eb86f2961c1e703d276c93f2cb6aa89
-R 87cd123213468be347dfe04f90b835d5
+P 11d733396f75ef1f206cd6f35630ff176484279861772918b9ea69412c13c62d
+R ddbc3143ac8e172194c66b5644ba016f
 U dan
-Z c259eeea26c0b2a0a6b65320d3361c69
+Z fc8062e5579df2de82bec15da0145aee
diff --git a/manifest.uuid b/manifest.uuid
index 250d2b3dfe..390b6be0f8 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-11d733396f75ef1f206cd6f35630ff176484279861772918b9ea69412c13c62d
\ No newline at end of file
+c1abd2dda4154cb573bdf627cdef794d3697f874c3b70357aaf5e4ed95ad1d5c
\ No newline at end of file
diff --git a/src/select.c b/src/select.c
index 2928445562..0f09bb1423 100644
--- a/src/select.c
+++ b/src/select.c
@@ -5933,18 +5933,17 @@ int sqlite3Select(
     if( pWin ){
       int addrGosub = sqlite3VdbeMakeLabel(v);
       int iCont = sqlite3VdbeMakeLabel(v);
+      int iBreak = sqlite3VdbeMakeLabel(v);
       int regGosub = ++pParse->nMem;
-      int addr = 0;
 
       sqlite3WindowCodeStep(pParse, p, pWInfo, regGosub, addrGosub);
 
-      addr = sqlite3VdbeAddOp0(v, OP_Goto);
+      sqlite3VdbeAddOp2(v, OP_Goto, 0, iBreak);
       sqlite3VdbeResolveLabel(v, addrGosub);
-      selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest, iCont, 0);
+      selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest, iCont, iBreak);
       sqlite3VdbeResolveLabel(v, iCont);
       sqlite3VdbeAddOp1(v, OP_Return, regGosub);
-      sqlite3VdbeJumpHere(v, addr);
-
+      sqlite3VdbeResolveLabel(v, iBreak);
     }else
 #endif /* SQLITE_OMIT_WINDOWFUNC */
     {
diff --git a/test/window1.test b/test/window1.test
index f7c3a0ee29..59c2893e3c 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -403,5 +403,43 @@ do_execsql_test 10.1 {
   Grant       South   23
 }
 
+do_execsql_test 10.2 {
+  SELECT emp, region, sum(total) OVER win FROM sales
+  WINDOW win AS (PARTITION BY region ORDER BY total)
+} {
+  Horace East       1  
+  Brad North       22 
+  Alice North      56 
+  Charles North   101 
+  Darrell South     8 
+  Frank South      30 
+  Grant South      53 
+  Elizabeth South 152
+}
+
+do_execsql_test 10.3 {
+  SELECT emp, region, sum(total) OVER win FROM sales
+  WINDOW win AS (PARTITION BY region ORDER BY total)
+  LIMIT 5
+} {
+  Horace East       1  
+  Brad North       22 
+  Alice North      56 
+  Charles North   101 
+  Darrell South     8 
+}
+
+do_execsql_test 10.4 {
+  SELECT emp, region, sum(total) OVER win FROM sales
+  WINDOW win AS (PARTITION BY region ORDER BY total)
+  LIMIT 5 OFFSET 2
+} {
+  Alice North      56 
+  Charles North   101 
+  Darrell South     8 
+  Frank South      30 
+  Grant South      53 
+}
+
 finish_test
 

From c316307315e532a7117183430669f345b75ea402 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 23 Jun 2018 19:29:56 +0000
Subject: [PATCH 096/154] Fix problems with using window-functions in
 correlated sub-queries.

FossilOrigin-Name: 3e23cfc8133342a4de6813afdc33d726f06d625424b16d0999fb22be51bf8913
---
 manifest          | 16 +++++------
 manifest.uuid     |  2 +-
 src/resolve.c     | 24 ++++++++++++-----
 src/walker.c      |  6 +++++
 test/window1.test | 69 ++++++++++++++++++++++++++++++++++++++++++++++-
 5 files changed, 100 insertions(+), 17 deletions(-)

diff --git a/manifest b/manifest
index af7f3d41bd..3576c1afcc 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\sproblem\swith\susing\sLIMIT\sin\swindow-function\squeries.
-D 2018-06-23T16:26:20.289
+C Fix\sproblems\swith\susing\swindow-functions\sin\scorrelated\ssub-queries.
+D 2018-06-23T19:29:56.897
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -493,7 +493,7 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c e966ecc97c3671ff0e96227c8c877b83f2d33ea371ee190bbf1698b36b5605c0
 F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c 0934ce541d3d0b2b9127e960bdabb3d2f837f1ef8f469453b712ff6b5dae8abe
+F src/resolve.c 43b97be1b1bfbe7aa6a0e8608f5a022eac8cd2d727bdf4d0287371ba32218e7b
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c e364e5ea8f2b61da53800a56c9ea5d26e9ddf667f10b9459112e26607df5b62c
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
@@ -579,7 +579,7 @@ F src/vtab.c 10ea07dec111de6fb0a4fc87a7ffa4c65fdc088a19dbfaf7d6f2b128f2e8eb7b
 F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c d44a0811afd2155b1157c38b33141d4ac028fda6232485bed664015bb05819ca
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
-F src/walker.c da987a20d40145c0a03c07d8fefcb2ed363becc7680d0500d9c79915591f5b1f
+F src/walker.c 14c43912f0e95f66146cb482a9260b74412fe07f16d67a74e74a1a2314b7474a
 F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
@@ -1618,7 +1618,7 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test a28ea12169f00e3d432682d839e3782c494d946d5242b25c677b2e485a2ae291
+F test/window1.test 0e0867fd8dceafef972d7c698d9283760e703e70b39e750b8e90f20853de618b
 F test/window2.tcl 9bfa842d8a62b0d36dc8c1b5972206393c43847433c6d75940b87fec93ce3143
 F test/window2.test 8e6d2a1b9f54dfebee1cde961c8590cd87b4db45c50f44947a211e1b63c2a05e
 F test/window3.tcl 9b82055c8977bdcab164fb4f71dabf86c511c9010c44f958352b610d313182c3
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 11d733396f75ef1f206cd6f35630ff176484279861772918b9ea69412c13c62d
-R ddbc3143ac8e172194c66b5644ba016f
+P c1abd2dda4154cb573bdf627cdef794d3697f874c3b70357aaf5e4ed95ad1d5c
+R 276bb5b8abb4de986dcdc92f069c30eb
 U dan
-Z fc8062e5579df2de82bec15da0145aee
+Z a54ebb0c6a6d2cbc797608724c2753d3
diff --git a/manifest.uuid b/manifest.uuid
index 390b6be0f8..dc51ff6d1c 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-c1abd2dda4154cb573bdf627cdef794d3697f874c3b70357aaf5e4ed95ad1d5c
\ No newline at end of file
+3e23cfc8133342a4de6813afdc33d726f06d625424b16d0999fb22be51bf8913
\ No newline at end of file
diff --git a/src/resolve.c b/src/resolve.c
index 84ec6598e0..60453c17a0 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -774,14 +774,18 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
         }else{
           zType = "aggregate";
         }
-#else
-      if( (is_agg && (pNC->ncFlags & NC_AllowAgg)==0) ){
-        const char *zType = "aggregate";
-#endif
         sqlite3ErrorMsg(pParse, "misuse of %s function %.*s()", zType, nId,zId);
         pNC->nErr++;
         is_agg = 0;
-      }else if( no_such_func && pParse->db->init.busy==0
+      }
+#else
+      if( (is_agg && (pNC->ncFlags & NC_AllowAgg)==0) ){
+        sqlite3ErrorMsg(pParse, "misuse of aggregate function %.*s()", nId,zId);
+        pNC->nErr++;
+        is_agg = 0;
+      }
+#endif
+      else if( no_such_func && pParse->db->init.busy==0
 #ifdef SQLITE_ENABLE_UNKNOWN_SQL_FUNCTION
                 && pParse->explain==0
 #endif
@@ -793,12 +797,17 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
              nId, zId);
         pNC->nErr++;
       }
-      if( is_agg ) pNC->ncFlags &= ~NC_AllowAgg;
+      if( is_agg ){
+        pNC->ncFlags &= ~(pExpr->pWin ? NC_AllowWin : NC_AllowAgg);
+      }
       sqlite3WalkExprList(pWalker, pList);
       if( is_agg ){
 #ifndef SQLITE_OMIT_WINDOWFUNC
         if( pExpr->pWin ){
           Select *pSel = pNC->pWinSelect;
+          sqlite3WalkExprList(pWalker, pExpr->pWin->pPartition);
+          sqlite3WalkExprList(pWalker, pExpr->pWin->pOrderBy);
+          sqlite3WalkExpr(pWalker, pExpr->pWin->pFilter);
           sqlite3WindowUpdate(pParse, pSel->pWinDefn, pExpr->pWin, pDef);
           if( 0==pSel->pWin 
            || 0==sqlite3WindowCompare(pParse, pSel->pWin, pExpr->pWin) 
@@ -806,6 +815,7 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
             pExpr->pWin->pNextWin = pSel->pWin;
             pSel->pWin = pExpr->pWin;
           }
+          pNC->ncFlags |= NC_AllowWin;
         }else
 #endif /* SQLITE_OMIT_WINDOWFUNC */
         {
@@ -823,8 +833,8 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
             pNC2->ncFlags |= NC_HasAgg | (pDef->funcFlags & SQLITE_FUNC_MINMAX);
 
           }
+          pNC->ncFlags |= NC_AllowAgg;
         }
-        pNC->ncFlags |= NC_AllowAgg;
       }
       /* FIX ME:  Compute pExpr->affinity based on the expected return
       ** type of the function 
diff --git a/src/walker.c b/src/walker.c
index 60bf8226fe..0b82aa0711 100644
--- a/src/walker.c
+++ b/src/walker.c
@@ -54,6 +54,12 @@ static SQLITE_NOINLINE int walkExpr(Walker *pWalker, Expr *pExpr){
       }else if( pExpr->x.pList ){
         if( sqlite3WalkExprList(pWalker, pExpr->x.pList) ) return WRC_Abort;
       }
+      if( pExpr->pWin ){
+        Window *pWin = pExpr->pWin;
+        if( sqlite3WalkExprList(pWalker, pWin->pPartition) ) return WRC_Abort;
+        if( sqlite3WalkExprList(pWalker, pWin->pOrderBy) ) return WRC_Abort;
+        if( sqlite3WalkExpr(pWalker, pWin->pFilter) ) return WRC_Abort;
+      }
     }
     break;
   }
diff --git a/test/window1.test b/test/window1.test
index 59c2893e3c..2f444280c8 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -249,7 +249,7 @@ do_catchsql_test 7.1.4 {
   SELECT count(*) FROM t1 GROUP BY nth_value(x, 1) OVER (ORDER BY y);
 } {1 {misuse of window function nth_value()}}
 do_catchsql_test 7.1.5 {
-  SELECT count(*) FROM t1 LIMIT nth_value(x, 1) OVER (ORDER BY y);
+  SELECT count(*) FROM t1 LIMIT nth_value(x, 1) OVER ();
 } {1 {no such column: x}}
 do_catchsql_test 7.1.6 {
   SELECT trim(x) OVER (ORDER BY y) FROM t1;
@@ -441,5 +441,72 @@ do_execsql_test 10.4 {
   Grant South      53 
 }
 
+do_execsql_test 10.5 {
+  SELECT emp, region, sum(total) OVER win FROM sales
+  WINDOW win AS (
+    PARTITION BY region ORDER BY total 
+    ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  )
+} {
+  Horace East       1  
+  Brad North      101
+  Alice North      79 
+  Charles North    45 
+  Darrell South   152
+  Frank South     144 
+  Grant South     122 
+  Elizabeth South  99
+}
+
+do_execsql_test 10.6 {
+  SELECT emp, region, sum(total) OVER win FROM sales
+  WINDOW win AS (
+    PARTITION BY region ORDER BY total 
+    ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
+  ) LIMIT 5 OFFSET 2
+} {
+  Alice North      79 
+  Charles North    45 
+  Darrell South   152
+  Frank South     144 
+  Grant South     122 
+}
+
+do_execsql_test 10.7 {
+  SELECT emp, region, (
+    SELECT sum(total) OVER (
+      ORDER BY total RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+    ) || outer.emp FROM sales
+  ) FROM sales AS outer;
+} {
+  Alice North 254Alice 
+  Frank South 254Frank 
+  Charles North 254Charles 
+  Darrell South 254Darrell 
+  Grant South 254Grant 
+  Brad North 254Brad 
+  Elizabeth South 254Elizabeth 
+  Horace East 254Horace
+}
+
+breakpoint
+do_execsql_test 10.8 {
+  SELECT emp, region, (
+    SELECT sum(total) FILTER (WHERE sales.emp!=outer.emp) OVER (
+      ORDER BY total RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
+    ) FROM sales
+  ) FROM sales AS outer;
+} {
+  Alice North 220 
+  Frank South 232 
+  Charles North 209 
+  Darrell South 246
+  Grant South 231 
+  Brad North 232 
+  Elizabeth South 155 
+  Horace East 253
+}
+
+
 finish_test
 

From 867be212bce6d78eade2eb735b8ba9404d90c2b4 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 25 Jun 2018 11:42:08 +0000
Subject: [PATCH 097/154] Fix another problem that could cause a crash when a
 window function was used in a view.

FossilOrigin-Name: e954145a3addf60247954b9161473cd02ae2400f469840523093e25e23fbc54d
---
 manifest          | 18 +++++++++---------
 manifest.uuid     |  2 +-
 src/walker.c      |  4 +++-
 test/window1.test | 20 +++++++++++++++++++-
 test/window4.tcl  |  8 ++++++++
 test/window4.test |  8 ++++++++
 6 files changed, 48 insertions(+), 12 deletions(-)

diff --git a/manifest b/manifest
index 3576c1afcc..bb931792a9 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sproblems\swith\susing\swindow-functions\sin\scorrelated\ssub-queries.
-D 2018-06-23T19:29:56.897
+C Fix\sanother\sproblem\sthat\scould\scause\sa\scrash\swhen\sa\swindow\sfunction\swas\sused\nin\sa\sview.
+D 2018-06-25T11:42:08.845
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -579,7 +579,7 @@ F src/vtab.c 10ea07dec111de6fb0a4fc87a7ffa4c65fdc088a19dbfaf7d6f2b128f2e8eb7b
 F src/vxworks.h d2988f4e5a61a4dfe82c6524dd3d6e4f2ce3cdb9
 F src/wal.c d44a0811afd2155b1157c38b33141d4ac028fda6232485bed664015bb05819ca
 F src/wal.h 8de5d2d3de0956d6f6cb48c83a4012d5f227b8fe940f3a349a4b7e85ebcb492a
-F src/walker.c 14c43912f0e95f66146cb482a9260b74412fe07f16d67a74e74a1a2314b7474a
+F src/walker.c ba7225773931760cf60bf22f34d0cce2588df7ce5ce0f215a52eb88234b55ac4
 F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
@@ -1618,13 +1618,13 @@ F test/win32heap.test 10fd891266bd00af68671e702317726375e5407561d859be1aa04696f2
 F test/win32lock.test fbf107c91d8f5512be5a5b87c4c42ab9fdd54972
 F test/win32longpath.test 169c75a3b2e43481f4a62122510210c67b08f26d
 F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
-F test/window1.test 0e0867fd8dceafef972d7c698d9283760e703e70b39e750b8e90f20853de618b
+F test/window1.test 7cb260079cd88d6d6177b0f592686f2bbbc2d10f4f415c8a37cd153eb83c87ca
 F test/window2.tcl 9bfa842d8a62b0d36dc8c1b5972206393c43847433c6d75940b87fec93ce3143
 F test/window2.test 8e6d2a1b9f54dfebee1cde961c8590cd87b4db45c50f44947a211e1b63c2a05e
 F test/window3.tcl 9b82055c8977bdcab164fb4f71dabf86c511c9010c44f958352b610d313182c3
 F test/window3.test 47884c240d0d5234ad9c6da65452cfec1bfa69ec6f9c4158cd9750c3d88d3a25
-F test/window4.tcl e52914d7552b1111dfe5c9c3340a76dbeb00a69d867a31e45104d5d30bd47eb4
-F test/window4.test 1acdae592d25df5d50aae2ca077f87b29ff4169ca7fc5e08e1c119c88fdbeb8f
+F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
+F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
 F test/window5.test d97b5cd3763f80d876ae316272aaf0a41e650533c5d76c4310636b58deb8bcd3
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P c1abd2dda4154cb573bdf627cdef794d3697f874c3b70357aaf5e4ed95ad1d5c
-R 276bb5b8abb4de986dcdc92f069c30eb
+P 3e23cfc8133342a4de6813afdc33d726f06d625424b16d0999fb22be51bf8913
+R bb9f89e1e949343802959b13d03bdcdc
 U dan
-Z a54ebb0c6a6d2cbc797608724c2753d3
+Z 03de6875ac8344c2508ab8927c834330
diff --git a/manifest.uuid b/manifest.uuid
index dc51ff6d1c..be99915eb0 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-3e23cfc8133342a4de6813afdc33d726f06d625424b16d0999fb22be51bf8913
\ No newline at end of file
+e954145a3addf60247954b9161473cd02ae2400f469840523093e25e23fbc54d
\ No newline at end of file
diff --git a/src/walker.c b/src/walker.c
index 0b82aa0711..b3d4cd805d 100644
--- a/src/walker.c
+++ b/src/walker.c
@@ -54,12 +54,14 @@ static SQLITE_NOINLINE int walkExpr(Walker *pWalker, Expr *pExpr){
       }else if( pExpr->x.pList ){
         if( sqlite3WalkExprList(pWalker, pExpr->x.pList) ) return WRC_Abort;
       }
-      if( pExpr->pWin ){
+#ifndef SQLITE_OMIT_WINDOWFUNC
+      if( !ExprHasProperty(pExpr, EP_Reduced) && pExpr->pWin ){
         Window *pWin = pExpr->pWin;
         if( sqlite3WalkExprList(pWalker, pWin->pPartition) ) return WRC_Abort;
         if( sqlite3WalkExprList(pWalker, pWin->pOrderBy) ) return WRC_Abort;
         if( sqlite3WalkExpr(pWalker, pWin->pFilter) ) return WRC_Abort;
       }
+#endif
     }
     break;
   }
diff --git a/test/window1.test b/test/window1.test
index 2f444280c8..ee705deb0c 100644
--- a/test/window1.test
+++ b/test/window1.test
@@ -489,7 +489,6 @@ do_execsql_test 10.7 {
   Horace East 254Horace
 }
 
-breakpoint
 do_execsql_test 10.8 {
   SELECT emp, region, (
     SELECT sum(total) FILTER (WHERE sales.emp!=outer.emp) OVER (
@@ -507,6 +506,25 @@ do_execsql_test 10.8 {
   Horace East 253
 }
 
+#-------------------------------------------------------------------------
+# Check that it is not possible to use a window function in a CREATE INDEX
+# statement.
+#
+do_execsql_test 11.0 { CREATE TABLE t6(a, b, c); }
+
+do_catchsql_test 11.1 {
+  CREATE INDEX t6i ON t6(a) WHERE sum(b) OVER ();
+} {1 {misuse of window function sum()}}
+do_catchsql_test 11.2 {
+  CREATE INDEX t6i ON t6(a) WHERE lead(b) OVER ();
+} {1 {misuse of window function lead()}}
+
+do_catchsql_test 11.3 {
+  CREATE INDEX t6i ON t6(sum(b) OVER ());
+} {1 {misuse of window function sum()}}
+do_catchsql_test 11.4 {
+  CREATE INDEX t6i ON t6(lead(b) OVER ());
+} {1 {misuse of window function lead()}}
 
 finish_test
 
diff --git a/test/window4.tcl b/test/window4.tcl
index e8a68056a0..b3b9ab2ee0 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -324,5 +324,13 @@ execsql_float_test 9.3 {
   SELECT x, percent_rank() OVER (PARTITION BY x ORDER BY x) FROM t2
 }
 
+execsql_test 9.4 {
+  SELECT x, rank() OVER (ORDER BY x) FROM t2 ORDER BY 1,2
+}
+
+execsql_test 9.5 {
+  SELECT DISTINCT x, rank() OVER (ORDER BY x) FROM t2 ORDER BY 1,2
+}
+
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index 6df6162c15..2376e07a38 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -1225,4 +1225,12 @@ do_test 9.3 {
   set myres
 } {1.00 0.00 1.00 0.00 1.00 0.00 4.00 0.00 4.00 0.00 6.00 0.00 7.00 0.00}
 
+do_execsql_test 9.4 {
+  SELECT x, rank() OVER (ORDER BY x) FROM t2 ORDER BY 1,2
+} {1 1   1 1   1 1   4 4   4 4   6 6   7 7}
+
+do_execsql_test 9.5 {
+  SELECT DISTINCT x, rank() OVER (ORDER BY x) FROM t2 ORDER BY 1,2
+} {1 1   4 4   6 6   7 7}
+
 finish_test

From e618dd9b5dd2ae0797cc9ee650ba0e70adee2a9c Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 25 Jun 2018 20:34:28 +0000
Subject: [PATCH 098/154] Add documentation comment for
 sqlite3_create_window_function(). And further tests.

FossilOrigin-Name: 3f2705b93368f7b0dfd2e03387c3d0b55eddb04940ec83e226e420d8ab10c77f
---
 manifest          | 16 ++++-----
 manifest.uuid     |  2 +-
 src/sqlite.h.in   | 42 +++++++++++++++---------
 src/test_window.c | 84 +++++++++++++++++++++++++++++++++++++++++++++++
 test/window5.test | 10 ++++++
 5 files changed, 130 insertions(+), 24 deletions(-)

diff --git a/manifest b/manifest
index bb931792a9..2d0099f15a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sanother\sproblem\sthat\scould\scause\sa\scrash\swhen\sa\swindow\sfunction\swas\sused\nin\sa\sview.
-D 2018-06-25T11:42:08.845
+C Add\sdocumentation\scomment\sfor\ssqlite3_create_window_function().\sAnd\sfurther\ntests.
+D 2018-06-25T20:34:28.258
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -497,7 +497,7 @@ F src/resolve.c 43b97be1b1bfbe7aa6a0e8608f5a022eac8cd2d727bdf4d0287371ba32218e7b
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c e364e5ea8f2b61da53800a56c9ea5d26e9ddf667f10b9459112e26607df5b62c
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
-F src/sqlite.h.in 8dbfe617b70b01e661a9ba0b805facb1430df80096ea7508cf7903878b45e689
+F src/sqlite.h.in 243e0b1d302c237372c06002fe84f731fd22587eccd142d15de834a5296514ff
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
 F src/sqliteInt.h 74728a0b20e9d2173470186a8ca1e3229c79abb19d1ac4eedc4562e8905d798d
@@ -555,7 +555,7 @@ F src/test_vfs.c f0186261a24de2671d080bcd8050732f0cb64f6e
 F src/test_vfstrace.c bab9594adc976cbe696ff3970728830b4c5ed698
 F src/test_windirent.c a895e2c068a06644eef91a7f0a32182445a893b9a0f33d0cdb4283dca2486ac1
 F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a90484215
-F src/test_window.c cb66fcaf77d916544f64a59e624c7ce9f673be454843c63a07d3dc0505b83580
+F src/test_window.c add59ee68568868129516999f30a68e8ab2afd276e272aba4f633c9fc52c1bb1
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
 F src/tokenize.c bbde32eac9eb1280f5292bcdfef66f5a57e43176cbf9347e0efab9f75e133f97
@@ -1625,7 +1625,7 @@ F test/window3.tcl 9b82055c8977bdcab164fb4f71dabf86c511c9010c44f958352b610d31318
 F test/window3.test 47884c240d0d5234ad9c6da65452cfec1bfa69ec6f9c4158cd9750c3d88d3a25
 F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
 F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
-F test/window5.test d97b5cd3763f80d876ae316272aaf0a41e650533c5d76c4310636b58deb8bcd3
+F test/window5.test a4835b96d30eb3b81a1dbc683e333e57a614645eb6f2ae476a7ed2addf0b0f1f
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 3e23cfc8133342a4de6813afdc33d726f06d625424b16d0999fb22be51bf8913
-R bb9f89e1e949343802959b13d03bdcdc
+P e954145a3addf60247954b9161473cd02ae2400f469840523093e25e23fbc54d
+R d66c96e9060f0a54279eff7175b44d69
 U dan
-Z 03de6875ac8344c2508ab8927c834330
+Z 9407c201682f0eca4726a782256639b4
diff --git a/manifest.uuid b/manifest.uuid
index be99915eb0..c3d7e0c71a 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-e954145a3addf60247954b9161473cd02ae2400f469840523093e25e23fbc54d
\ No newline at end of file
+3f2705b93368f7b0dfd2e03387c3d0b55eddb04940ec83e226e420d8ab10c77f
\ No newline at end of file
diff --git a/src/sqlite.h.in b/src/sqlite.h.in
index 9df546a262..b98960a01f 100644
--- a/src/sqlite.h.in
+++ b/src/sqlite.h.in
@@ -4621,11 +4621,13 @@ int sqlite3_reset(sqlite3_stmt *pStmt);
 **
 ** ^These functions (collectively known as "function creation routines")
 ** are used to add SQL functions or aggregates or to redefine the behavior
-** of existing SQL functions or aggregates.  The only differences between
-** these routines are the text encoding expected for
-** the second parameter (the name of the function being created)
-** and the presence or absence of a destructor callback for
-** the application data pointer.
+** of existing SQL functions or aggregates. The only differences between
+** the three "sqlite3_create_function*" routines are the text encoding 
+** expected for the second parameter (the name of the function being 
+** created) and the presence or absence of a destructor callback for
+** the application data pointer. Function sqlite3_create_window_function()
+** is similar, but allows the user to supply the extra callback functions
+** needed by [aggregate window functions].
 **
 ** ^The first parameter is the [database connection] to which the SQL
 ** function is to be added.  ^If an application uses more than one database
@@ -4671,7 +4673,8 @@ int sqlite3_reset(sqlite3_stmt *pStmt);
 ** ^(The fifth parameter is an arbitrary pointer.  The implementation of the
 ** function can gain access to this pointer using [sqlite3_user_data()].)^
 **
-** ^The sixth, seventh and eighth parameters, xFunc, xStep and xFinal, are
+** ^The sixth, seventh and eighth parameters passed to the three
+** "sqlite3_create_function*" functions, xFunc, xStep and xFinal, are
 ** pointers to C-language functions that implement the SQL function or
 ** aggregate. ^A scalar SQL function requires an implementation of the xFunc
 ** callback only; NULL pointers must be passed as the xStep and xFinal
@@ -4680,15 +4683,24 @@ int sqlite3_reset(sqlite3_stmt *pStmt);
 ** SQL function or aggregate, pass NULL pointers for all three function
 ** callbacks.
 **
-** ^(If the ninth parameter to sqlite3_create_function_v2() is not NULL,
-** then it is destructor for the application data pointer. 
-** The destructor is invoked when the function is deleted, either by being
-** overloaded or when the database connection closes.)^
-** ^The destructor is also invoked if the call to
-** sqlite3_create_function_v2() fails.
-** ^When the destructor callback of the tenth parameter is invoked, it
-** is passed a single argument which is a copy of the application data 
-** pointer which was the fifth parameter to sqlite3_create_function_v2().
+** ^The sixth, seventh, eighth and ninth parameters (xStep, xFinal, xValue 
+** and xInverse) passed to sqlite3_create_window_function are pointers to
+** C-lanugage callbacks that implement the new function. xStep and xFinal
+** must both be non-NULL. xValue and xInverse may either both be NULL, in
+** which case a regular aggregate function is created, or must both be 
+** non-NULL, in which case the new function may be used as either an aggregate
+** or aggregate window function. More details regarding the implementation
+** of aggregate window functions are 
+** [user-defined window functions|available here].
+**
+** ^(If the final parameter to sqlite3_create_function_v2() or
+** sqlite3_create_window_function() is not NULL, then it is destructor for
+** the application data pointer. The destructor is invoked when the function 
+** is deleted, either by being overloaded or when the database connection 
+** closes.)^ ^The destructor is also invoked if the call to 
+** sqlite3_create_function_v2() fails.  ^When the destructor callback is
+** invoked, it is passed a single argument which is a copy of the application
+** data pointer which was the fifth parameter to sqlite3_create_function_v2().
 **
 ** ^It is permitted to register multiple implementations of the same
 ** functions with the same name but with either differing numbers of
diff --git a/src/test_window.c b/src/test_window.c
index 31dcb8e1e0..576c58f6c7 100644
--- a/src/test_window.c
+++ b/src/test_window.c
@@ -219,6 +219,89 @@ static int SQLITE_TCLAPI test_create_window_misuse(
   return TCL_ERROR;
 }
 
+/*
+** xStep for sumint().
+*/
+static void sumintStep(
+  sqlite3_context *ctx, 
+  int nArg, 
+  sqlite3_value *apArg[]
+){
+  sqlite3_int64 *pInt;
+
+  assert( nArg==1 );
+  if( sqlite3_value_type(apArg[0])!=SQLITE_INTEGER ){
+    sqlite3_result_error(ctx, "invalid argument", -1);
+    return;
+  }
+  pInt = (sqlite3_int64*)sqlite3_aggregate_context(ctx, sizeof(sqlite3_int64));
+  if( pInt ){
+    *pInt += sqlite3_value_int64(apArg[0]);
+  }
+}
+
+/*
+** xInverse for sumint().
+*/
+static void sumintInverse(
+  sqlite3_context *ctx, 
+  int nArg, 
+  sqlite3_value *apArg[]
+){
+  sqlite3_int64 *pInt;
+  pInt = (sqlite3_int64*)sqlite3_aggregate_context(ctx, sizeof(sqlite3_int64));
+  *pInt -= sqlite3_value_int64(apArg[0]);
+}
+
+/*
+** xFinal for sumint().
+*/
+static void sumintFinal(sqlite3_context *ctx){
+  sqlite3_int64 res = 0;
+  sqlite3_int64 *pInt;
+  pInt = (sqlite3_int64*)sqlite3_aggregate_context(ctx, 0);
+  if( pInt ) res = *pInt;
+  sqlite3_result_int64(ctx, res);
+}
+
+/*
+** xValue for sumint().
+*/
+static void sumintValue(sqlite3_context *ctx){
+  sqlite3_int64 res = 0;
+  sqlite3_int64 *pInt;
+  pInt = (sqlite3_int64*)sqlite3_aggregate_context(ctx, 0);
+  if( pInt ) res = *pInt;
+  sqlite3_result_int64(ctx, res);
+}
+
+static int SQLITE_TCLAPI test_create_sumint(
+  void * clientData,
+  Tcl_Interp *interp,
+  int objc,
+  Tcl_Obj *CONST objv[]
+){
+  sqlite3 *db;
+  int rc;
+
+  if( objc!=2 ){
+    Tcl_WrongNumArgs(interp, 1, objv, "DB");
+    return TCL_ERROR;
+  }
+  if( getDbPointer(interp, Tcl_GetString(objv[1]), &db) ) return TCL_ERROR;
+
+  rc = sqlite3_create_window_function(db, "sumint", 1, SQLITE_UTF8, 0,
+      sumintStep, sumintFinal, sumintValue, sumintInverse,
+      0
+  );
+
+  if( rc!=SQLITE_OK ){
+    Tcl_SetObjResult(interp, Tcl_NewStringObj(sqlite3ErrName(rc), -1));
+    return TCL_ERROR;
+  }
+  return TCL_OK;
+}
+
 int Sqlitetest_window_Init(Tcl_Interp *interp){
   static struct {
      char *zName;
@@ -227,6 +310,7 @@ int Sqlitetest_window_Init(Tcl_Interp *interp){
   } aObjCmd[] = {
      { "sqlite3_create_window_function", test_create_window, 0 },
      { "test_create_window_function_misuse", test_create_window_misuse, 0 },
+     { "test_create_sumint", test_create_sumint, 0 },
   };
   int i;
   for(i=0; i<sizeof(aObjCmd)/sizeof(aObjCmd[0]); i++){
diff --git a/test/window5.test b/test/window5.test
index f964a13164..3b0e6f2618 100644
--- a/test/window5.test
+++ b/test/window5.test
@@ -73,5 +73,15 @@ do_execsql_test 1.1 {
   SELECT win(a) OVER (ORDER BY b), median(a) OVER (ORDER BY b) FROM t1;
 } {4 4  {4 6} 5  {1 4 6} 4  {1 4 5 6} 4.5  {1 2 4 5 6} 4 {1 2 3 4 5 6} 3.5}
 
+test_create_sumint db
+do_execsql_test 2.0 {
+  SELECT sumint(a) OVER (ORDER BY rowid) FROM t1 ORDER BY rowid;
+} {4 10 11 16 18 21}
+
+do_execsql_test 2.1 {
+  SELECT sumint(a) OVER (ORDER BY rowid ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING) FROM t1 ORDER BY rowid;
+} {10 11 12 8 10 5}
+
+
 finish_test
 

From f02cdd379a98cd3338e3f8b41e13ef06832e1eaa Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 27 Jun 2018 19:48:50 +0000
Subject: [PATCH 099/154] Avoid redundant ORDER BY operations when rewriting
 SELECT statements that contain window functions.

FossilOrigin-Name: 336de43a47e206fe7629072e5b8c80d4ede17ead8ef4dcf5d8da6833ff22d2f9
---
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 src/select.c  |  4 ++--
 src/window.c  | 26 +++++++++++++++++---------
 4 files changed, 27 insertions(+), 19 deletions(-)

diff --git a/manifest b/manifest
index 0f7f9e54a5..8790d9d2fd 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\slatest\strunk\schanges.
-D 2018-06-26T20:19:44.663
+C Avoid\sredundant\sORDER\sBY\soperations\swhen\srewriting\sSELECT\sstatements\sthat\ncontain\swindow\sfunctions.
+D 2018-06-27T19:48:50.544
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -495,7 +495,7 @@ F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 43b97be1b1bfbe7aa6a0e8608f5a022eac8cd2d727bdf4d0287371ba32218e7b
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c e364e5ea8f2b61da53800a56c9ea5d26e9ddf667f10b9459112e26607df5b62c
+F src/select.c 82aa95aa1cfeadef5ecae1126afff1efca64c49050bbf7116425a8a1d4fc5e6c
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
 F src/sqlite.h.in 243e0b1d302c237372c06002fe84f731fd22587eccd142d15de834a5296514ff
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c b444259848adb122bc991f73d74604a998ba96ec678a54e9ee9bd56bf10dc9b5
+F src/window.c 14c64e0717cab5764c7ace19f9c72be123639c051f7017b47ef6cf74528daaa8
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 3f2705b93368f7b0dfd2e03387c3d0b55eddb04940ec83e226e420d8ab10c77f fea7ade649ae72303078782f7bc510e0a17f082ffde10e769f1aeb1cf37b5554
-R 5d248a73d4f312b53ee7540b1896f8d9
+P d9f814b4437eae4c49ba8abec7b58ef9dbb49d4ba8d1c95e08a2e717ef3839ee
+R cc5ef730994398d66ba6df8a9035456a
 U dan
-Z a5991bab062363f4d30e377c87862931
+Z cdcaab38ea26a5b321640bb9e7f7a848
diff --git a/manifest.uuid b/manifest.uuid
index 047409571c..737f6a46c4 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-d9f814b4437eae4c49ba8abec7b58ef9dbb49d4ba8d1c95e08a2e717ef3839ee
\ No newline at end of file
+336de43a47e206fe7629072e5b8c80d4ede17ead8ef4dcf5d8da6833ff22d2f9
\ No newline at end of file
diff --git a/src/select.c b/src/select.c
index 0f09bb1423..a3fa9359d8 100644
--- a/src/select.c
+++ b/src/select.c
@@ -5484,8 +5484,6 @@ int sqlite3Select(
     p->selFlags &= ~SF_Distinct;
   }
   sqlite3SelectPrep(pParse, p, 0);
-  memset(&sSort, 0, sizeof(sSort));
-  sSort.pOrderBy = p->pOrderBy;
   if( pParse->nErr || db->mallocFailed ){
     goto select_end;
   }
@@ -5514,6 +5512,8 @@ int sqlite3Select(
 #endif /* SQLITE_OMIT_WINDOWFUNC */
   pTabList = p->pSrc;
   isAgg = (p->selFlags & SF_Aggregate)!=0;
+  memset(&sSort, 0, sizeof(sSort));
+  sSort.pOrderBy = p->pOrderBy;
 
   /* Try to various optimizations (flattening subqueries, and strength
   ** reduction of join operators) in the FROM clause up into the main query
diff --git a/src/window.c b/src/window.c
index 5aa8800111..1bdb70da66 100644
--- a/src/window.c
+++ b/src/window.c
@@ -721,6 +721,18 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
     p->pGroupBy = 0;
     p->pHaving = 0;
 
+    /* Create the ORDER BY clause for the sub-select. This is the concatenation
+    ** of the window PARTITION and ORDER BY clauses. Then, if this makes it
+    ** redundant, remove the ORDER BY from the parent SELECT.  */
+    pSort = sqlite3ExprListDup(db, pMWin->pPartition, 0);
+    pSort = exprListAppendList(pParse, pSort, pMWin->pOrderBy);
+    if( pSort && p->pOrderBy ){
+      if( sqlite3ExprListCompare(pSort, p->pOrderBy, -1)==0 ){
+        sqlite3ExprListDelete(db, p->pOrderBy);
+        p->pOrderBy = 0;
+      }
+    }
+
     /* Assign a cursor number for the ephemeral table used to buffer rows.
     ** The OpenEphemeral instruction is coded later, after it is known how
     ** many columns the table will have.  */
@@ -730,15 +742,11 @@ int sqlite3WindowRewrite(Parse *pParse, Select *p){
     selectWindowRewriteEList(pParse, pMWin, p->pOrderBy, &pSublist);
     pMWin->nBufferCol = (pSublist ? pSublist->nExpr : 0);
 
-    /* Create the ORDER BY clause for the sub-select. This is the concatenation
-    ** of the window PARTITION and ORDER BY clauses. Append the same 
-    ** expressions to the sub-select expression list. They are required to
-    ** figure out where boundaries for partitions and sets of peer rows.  */
-    pSort = sqlite3ExprListDup(db, pMWin->pPartition, 0);
-    if( pMWin->pOrderBy ){
-      pSort = exprListAppendList(pParse, pSort, pMWin->pOrderBy);
-    }
-    pSublist = exprListAppendList(pParse, pSublist, pSort);
+    /* Append the PARTITION BY and ORDER BY expressions to the to the 
+    ** sub-select expression list. They are required to figure out where 
+    ** boundaries for partitions and sets of peer rows lie.  */
+    pSublist = exprListAppendList(pParse, pSublist, pMWin->pPartition);
+    pSublist = exprListAppendList(pParse, pSublist, pMWin->pOrderBy);
 
     /* Append the arguments passed to each window function to the
     ** sub-select expression list. Also allocate two registers for each

From 01e122906391a327c4e276a90e83e260956d3fa9 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Wed, 27 Jun 2018 20:24:59 +0000
Subject: [PATCH 100/154] Add missing VdbeCoverage() and
 VdbeCoverageNeverTaken() macros to window.c.

FossilOrigin-Name: 4383cb68a1241768ddb3f180f8cbb9ea1638f8806210b10aac1384b8a7ecdca2
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/window.c  | 36 ++++++++++++++++++++++++++++++++++++
 3 files changed, 43 insertions(+), 7 deletions(-)

diff --git a/manifest b/manifest
index 8790d9d2fd..abb0adcf47 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Avoid\sredundant\sORDER\sBY\soperations\swhen\srewriting\sSELECT\sstatements\sthat\ncontain\swindow\sfunctions.
-D 2018-06-27T19:48:50.544
+C Add\smissing\sVdbeCoverage()\sand\sVdbeCoverageNeverTaken()\smacros\sto\swindow.c.
+D 2018-06-27T20:24:59.489
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c 14c64e0717cab5764c7ace19f9c72be123639c051f7017b47ef6cf74528daaa8
+F src/window.c 4403ae36b9645f105ad8ae16d986929c6db5f3bc7d3d3db43f5fa51c6bbfcbe8
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1743,7 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P d9f814b4437eae4c49ba8abec7b58ef9dbb49d4ba8d1c95e08a2e717ef3839ee
-R cc5ef730994398d66ba6df8a9035456a
+P 336de43a47e206fe7629072e5b8c80d4ede17ead8ef4dcf5d8da6833ff22d2f9
+R b7bd98ed0e43c8f2d4cb4f0d7b13d574
 U dan
-Z cdcaab38ea26a5b321640bb9e7f7a848
+Z 38db85555459c758350756078d19d70e
diff --git a/manifest.uuid b/manifest.uuid
index 737f6a46c4..76bb105dfe 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-336de43a47e206fe7629072e5b8c80d4ede17ead8ef4dcf5d8da6833ff22d2f9
\ No newline at end of file
+4383cb68a1241768ddb3f180f8cbb9ea1638f8806210b10aac1384b8a7ecdca2
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 1bdb70da66..7447719334 100644
--- a/src/window.c
+++ b/src/window.c
@@ -954,6 +954,7 @@ static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
   sqlite3VdbeAddOp2(v, OP_Integer, 0, regZero);
   sqlite3VdbeAddOp2(v, OP_MustBeInt, reg, sqlite3VdbeCurrentAddr(v)+2);
   sqlite3VdbeAddOp3(v, OP_Ge, regZero, sqlite3VdbeCurrentAddr(v)+2, reg);
+  VdbeCoverage(v);
   sqlite3VdbeAddOp2(v, OP_Halt, SQLITE_ERROR, OE_Abort);
   sqlite3VdbeAppendP4(v, (void*)azErr[bEnd], P4_STATIC);
   sqlite3ReleaseTempReg(pParse, regZero);
@@ -1031,6 +1032,7 @@ static void windowAggStep(
         sqlite3VdbeAddOp2(v, OP_IdxInsert, pWin->csrApp, pWin->regApp+2);
       }else{
         sqlite3VdbeAddOp4Int(v, OP_SeekGE, pWin->csrApp, 0, regArg, 1);
+        VdbeCoverage(v);
         sqlite3VdbeAddOp1(v, OP_Delete, pWin->csrApp);
         sqlite3VdbeJumpHere(v, sqlite3VdbeCurrentAddr(v)-2);
       }
@@ -1056,6 +1058,7 @@ static void windowAggStep(
           regTmp = regArg + nArg;
         }
         addrIf = sqlite3VdbeAddOp3(v, OP_IfNot, regTmp, 0, 1);
+        VdbeCoverage(v);
         if( csr>0 ){
           sqlite3ReleaseTempReg(pParse, regTmp);
         }
@@ -1089,6 +1092,7 @@ static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
     ){
       sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
       sqlite3VdbeAddOp1(v, OP_Last, pWin->csrApp);
+      VdbeCoverage(v);
       sqlite3VdbeAddOp3(v, OP_Column, pWin->csrApp, 0, pWin->regResult);
       sqlite3VdbeJumpHere(v, sqlite3VdbeCurrentAddr(v)-2);
       if( bFinal ){
@@ -1156,6 +1160,7 @@ static void windowPartitionCache(
     addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
     sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
     sqlite3VdbeAddOp3(v, OP_Jump, addr+2, addr+4, addr+2);
+    VdbeCoverage(v);
     sqlite3VdbeAddOp3(v, OP_Copy, regNewPart, pMWin->regPart, nPart-1);
     sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
   }
@@ -1209,7 +1214,9 @@ static void windowReturnOneRow(
       }
       sqlite3VdbeAddOp3(v, OP_Add, tmpReg, pWin->regApp, tmpReg);
       sqlite3VdbeAddOp3(v, OP_Gt, pWin->regApp+1, lbl, tmpReg);
+      VdbeCoverage(v);
       sqlite3VdbeAddOp3(v, OP_SeekRowid, csr, lbl, tmpReg);
+      VdbeCoverage(v);
       sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol, pWin->regResult);
       sqlite3VdbeResolveLabel(v, lbl);
       sqlite3ReleaseTempReg(pParse, tmpReg);
@@ -1239,6 +1246,7 @@ static void windowReturnOneRow(
       }
 
       sqlite3VdbeAddOp3(v, OP_SeekRowid, csr, lbl, tmpReg);
+      VdbeCoverage(v);
       sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol, pWin->regResult);
       sqlite3VdbeResolveLabel(v, lbl);
       sqlite3ReleaseTempReg(pParse, tmpReg);
@@ -1275,12 +1283,14 @@ static void windowReturnRows(
   Vdbe *v = sqlite3GetVdbe(pParse);
   windowAggFinal(pParse, pMWin, 0);
   addr = sqlite3VdbeAddOp3(v, OP_IfPos, regCtr, sqlite3VdbeCurrentAddr(v)+2 ,1);
+  VdbeCoverage(v);
   sqlite3VdbeAddOp2(v, OP_Goto, 0, 0);
   windowReturnOneRow(pParse, pMWin, regGosub, addrGosub);
   if( regInvArg ){
     windowAggStep(pParse, pMWin, pMWin->iEphCsr, 1, regInvArg, regInvSize);
   }
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, addr);
+  VdbeCoverage(v);
   sqlite3VdbeJumpHere(v, addr+1);   /* The OP_Goto */
 }
 
@@ -1489,6 +1499,7 @@ static void windowCodeRowExprStep(
   /* Start of "flush_partition" */
   sqlite3VdbeResolveLabel(v, lblFlushPart);
   sqlite3VdbeAddOp2(v, OP_Once, 0, sqlite3VdbeCurrentAddr(v)+3);
+  VdbeCoverage(v);
   sqlite3VdbeAddOp2(v, OP_OpenDup, csrStart, pMWin->iEphCsr);
   sqlite3VdbeAddOp2(v, OP_OpenDup, csrEnd, pMWin->iEphCsr);
 
@@ -1514,6 +1525,7 @@ static void windowCodeRowExprStep(
   if( pMWin->pEnd && pMWin->pStart && pMWin->eStart==TK_FOLLOWING ){
     assert( pMWin->eEnd==TK_FOLLOWING );
     sqlite3VdbeAddOp3(v, OP_Ge, regStart, sqlite3VdbeCurrentAddr(v)+2, regEnd);
+    VdbeCoverage(v);
     sqlite3VdbeAddOp2(v, OP_Copy, regSize, regStart);
     sqlite3VdbeAddOp3(v, OP_Subtract, regStart, regEnd, regEnd);
   }
@@ -1521,6 +1533,7 @@ static void windowCodeRowExprStep(
   if( pMWin->pEnd && pMWin->pStart && pMWin->eEnd==TK_PRECEDING ){
     assert( pMWin->eStart==TK_PRECEDING );
     sqlite3VdbeAddOp3(v, OP_Le, regStart, sqlite3VdbeCurrentAddr(v)+3, regEnd);
+    VdbeCoverage(v);
     sqlite3VdbeAddOp2(v, OP_Copy, regSize, regStart);
     sqlite3VdbeAddOp2(v, OP_Copy, regSize, regEnd);
   }
@@ -1529,9 +1542,12 @@ static void windowCodeRowExprStep(
   regArg = windowInitAccum(pParse, pMWin);
 
   sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr, lblFlushDone);
+  VdbeCoverage(v);
   sqlite3VdbeAddOp2(v, OP_Rewind, csrStart, lblFlushDone);
+  VdbeCoverageNeverTaken(v);
   sqlite3VdbeChangeP5(v, 1);
   sqlite3VdbeAddOp2(v, OP_Rewind, csrEnd, lblFlushDone);
+  VdbeCoverageNeverTaken(v);
   sqlite3VdbeChangeP5(v, 1);
 
   /* Invoke AggStep function for each window function using the row that
@@ -1540,8 +1556,10 @@ static void windowCodeRowExprStep(
   addrTop = sqlite3VdbeCurrentAddr(v);
   if( pMWin->eEnd==TK_PRECEDING ){
     addrIfPos1 = sqlite3VdbeAddOp3(v, OP_IfPos, regEnd, 0 , 1);
+    VdbeCoverage(v);
   }
   sqlite3VdbeAddOp2(v, OP_Next, csrEnd, sqlite3VdbeCurrentAddr(v)+2);
+  VdbeCoverage(v);
   addr = sqlite3VdbeAddOp0(v, OP_Goto);
   windowAggStep(pParse, pMWin, csrEnd, 0, regArg, regSize);
   if( pMWin->eEnd==TK_UNBOUNDED ){
@@ -1557,13 +1575,16 @@ static void windowCodeRowExprStep(
 
   if( pMWin->eEnd==TK_FOLLOWING ){
     addrIfPos1 = sqlite3VdbeAddOp3(v, OP_IfPos, regEnd, 0 , 1);
+    VdbeCoverage(v);
   }
   if( pMWin->eStart==TK_FOLLOWING ){
     addrIfPos2 = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
+    VdbeCoverage(v);
   }
   windowAggFinal(pParse, pMWin, 0);
   windowReturnOneRow(pParse, pMWin, regGosub, addrGosub);
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)+2);
+  VdbeCoverage(v);
   sqlite3VdbeAddOp2(v, OP_Goto, 0, lblFlushDone);
   if( pMWin->eStart==TK_FOLLOWING ){
     sqlite3VdbeJumpHere(v, addrIfPos2);
@@ -1576,8 +1597,10 @@ static void windowCodeRowExprStep(
     int addrJumpHere = 0;
     if( pMWin->eStart==TK_PRECEDING ){
       addrJumpHere = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
+      VdbeCoverage(v);
     }
     sqlite3VdbeAddOp2(v, OP_Next, csrStart, sqlite3VdbeCurrentAddr(v)+1);
+    VdbeCoverage(v);
     windowAggStep(pParse, pMWin, csrStart, 1, regArg, regSize);
     if( addrJumpHere ){
       sqlite3VdbeJumpHere(v, addrJumpHere);
@@ -1748,6 +1771,7 @@ static void windowCodeCacheStep(
   /* Start of "flush_partition" */
   sqlite3VdbeResolveLabel(v, lblFlushPart);
   sqlite3VdbeAddOp2(v, OP_Once, 0, sqlite3VdbeCurrentAddr(v)+2);
+  VdbeCoverage(v);
   sqlite3VdbeAddOp2(v, OP_OpenDup, csrLead, pMWin->iEphCsr);
 
   /* Initialize the accumulator register for each window function to NULL */
@@ -1755,13 +1779,17 @@ static void windowCodeCacheStep(
 
   sqlite3VdbeAddOp2(v, OP_Integer, 0, regCtr);
   sqlite3VdbeAddOp2(v, OP_Rewind, csrLead, lblEmpty);
+  VdbeCoverage(v);
   sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr, lblEmpty);
+  VdbeCoverageNeverTaken(v);
 
   if( bReverse ){
     int addr = sqlite3VdbeCurrentAddr(v);
     windowAggStep(pParse, pMWin, csrLead, 0, regArg, regSize);
     sqlite3VdbeAddOp2(v, OP_Next, csrLead, addr);
+    VdbeCoverage(v);
     sqlite3VdbeAddOp2(v, OP_Rewind, csrLead, lblEmpty);
+    VdbeCoverageNeverTaken(v);
   }
   addrNext = sqlite3VdbeCurrentAddr(v);
 
@@ -1778,6 +1806,7 @@ static void windowCodeCacheStep(
       addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
       sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
       addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+      VdbeCoverage(v);
       sqlite3VdbeAddOp3(v, OP_Copy, regNewPeer, regPeer, nPeer-1);
     }
 
@@ -1792,6 +1821,7 @@ static void windowCodeCacheStep(
   }
   sqlite3VdbeAddOp2(v, OP_AddImm, regCtr, 1);
   sqlite3VdbeAddOp2(v, OP_Next, csrLead, addrNext);
+  VdbeCoverage(v);
 
   windowReturnRows(pParse, pMWin, regCtr, regGosub, addrGosub, 0, 0);
 
@@ -1892,6 +1922,7 @@ static void windowCodeDefaultStep(
       addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPart, pMWin->regPart,nPart);
       sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
       addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+      VdbeCoverage(v);
       windowAggFinal(pParse, pMWin, 1);
       if( pOrderBy ){
         addrGoto = sqlite3VdbeAddOp0(v, OP_Goto);
@@ -1908,6 +1939,7 @@ static void windowCodeDefaultStep(
         addr = sqlite3VdbeAddOp3(v, OP_Compare, regNewPeer, regPeer, nPeer);
         sqlite3VdbeAppendP4(v, (void*)pKeyInfo, P4_KEYINFO);
         addrJump = sqlite3VdbeAddOp3(v, OP_Jump, addr+2, 0, addr+2);
+        VdbeCoverage(v);
       }else{
         addrJump = 0;
       }
@@ -1916,8 +1948,10 @@ static void windowCodeDefaultStep(
     }
 
     sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr,sqlite3VdbeCurrentAddr(v)+3);
+    VdbeCoverage(v);
     sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
     sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)-1);
+    VdbeCoverage(v);
 
     sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
     sqlite3VdbeAddOp3(
@@ -1945,8 +1979,10 @@ static void windowCodeDefaultStep(
 
   windowAggFinal(pParse, pMWin, 1);
   sqlite3VdbeAddOp2(v, OP_Rewind, pMWin->iEphCsr,sqlite3VdbeCurrentAddr(v)+3);
+  VdbeCoverage(v);
   sqlite3VdbeAddOp2(v, OP_Gosub, regGosub, addrGosub);
   sqlite3VdbeAddOp2(v, OP_Next, pMWin->iEphCsr, sqlite3VdbeCurrentAddr(v)-1);
+  VdbeCoverage(v);
 }
 
 /*

From 3773c25f16645067bf58ecd99a2b6de9a3eb7062 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Thu, 28 Jun 2018 03:38:49 +0000
Subject: [PATCH 101/154] Introduce the concept of "weak fallback" in the
 parser.  A weak fallback only occurs if a syntax error would result
 otherwise.

FossilOrigin-Name: c41d7079fb63831bd2f009b64cbf5a423e8119e6b841bfd9bd5a2d85fba3b142
---
 manifest      | 21 ++++++++++++---------
 manifest.uuid |  2 +-
 src/parse.y   |  4 ++++
 tool/lemon.c  | 21 ++++++++++++++-------
 tool/lempar.c | 35 +++++++++++++++++++++++------------
 5 files changed, 54 insertions(+), 29 deletions(-)

diff --git a/manifest b/manifest
index abb0adcf47..fcb3dd292f 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\smissing\sVdbeCoverage()\sand\sVdbeCoverageNeverTaken()\smacros\sto\swindow.c.
-D 2018-06-27T20:24:59.489
+C Introduce\sthe\sconcept\sof\s"weak\sfallback"\sin\sthe\sparser.\s\sA\sweak\sfallback\nonly\soccurs\sif\sa\ssyntax\serror\swould\sresult\sotherwise.
+D 2018-06-28T03:38:49.164
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 4661ac1382c18bc67e1680ea3e44a6835ebc770667fe32ee1720c38454304165
+F src/parse.y 9517b50d35e5e495a241541b49f5512b8e9bcbac3fbfdc659215555efa5c4f40
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -1662,8 +1662,8 @@ F tool/genfkey.README cf68fddd4643bbe3ff8e31b8b6d8b0a1b85e20f4
 F tool/genfkey.test 4196a8928b78f51d54ef58e99e99401ab2f0a7e5
 F tool/getlock.c f4c39b651370156cae979501a7b156bdba50e7ce
 F tool/kvtest-speed.sh 4761a9c4b3530907562314d7757995787f7aef8f
-F tool/lemon.c 33892e2a243865f73e6c6e7cecce3c6eb4bb95db4a3d9d86d146c8064feb92fd
-F tool/lempar.c bf7db78e7213f1d51516710483eab506fd52bf632c7abfb3e2e9b885c90c03e1
+F tool/lemon.c 93a321bd82b5c73191e95b2f27203048bf4d054fdab4a257b7a6c9541f31828d
+F tool/lempar.c c7371bad027fd516b7eaed36d03353972df35163672637cddd00f472889932f9
 F tool/libvers.c caafc3b689638a1d88d44bc5f526c2278760d9b9
 F tool/loadfts.c c3c64e4d5e90e8ba41159232c2189dba4be7b862
 F tool/logest.c 11346aa019e2e77a00902aa7d0cabd27bd2e8cca
@@ -1743,7 +1743,10 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 336de43a47e206fe7629072e5b8c80d4ede17ead8ef4dcf5d8da6833ff22d2f9
-R b7bd98ed0e43c8f2d4cb4f0d7b13d574
-U dan
-Z 38db85555459c758350756078d19d70e
+P 4383cb68a1241768ddb3f180f8cbb9ea1638f8806210b10aac1384b8a7ecdca2
+R 341c5aa0d73cc2ef03cecacf95853224
+T *branch * weak-fallback
+T *sym-weak-fallback *
+T -sym-exp-window-functions *
+U drh
+Z 196c50a9819aa6d1d98f4a403b164e6b
diff --git a/manifest.uuid b/manifest.uuid
index 76bb105dfe..6b74c95f01 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-4383cb68a1241768ddb3f180f8cbb9ea1638f8806210b10aac1384b8a7ecdca2
\ No newline at end of file
+c41d7079fb63831bd2f009b64cbf5a423e8119e6b841bfd9bd5a2d85fba3b142
\ No newline at end of file
diff --git a/src/parse.y b/src/parse.y
index b253480588..02989c28a2 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -216,6 +216,10 @@ columnname(A) ::= nm(A) typetoken(Y). {sqlite3AddColumn(pParse,&A,&Y);}
 %ifdef SQLITE_OMIT_COMPOUND_SELECT
   EXCEPT INTERSECT UNION
 %endif SQLITE_OMIT_COMPOUND_SELECT
+%ifndef SQLITE_OMIT_WINDOWFUNC
+  CURRENT FILTER FOLLOWING ?OVER PARTITION 
+  PRECEDING RANGE UNBOUNDED ?WINDOW 
+%endif SQLITE_OMIT_WINDOWFUNC
   REINDEX RENAME CTIME_KW IF
   .
 %wildcard ANY.
diff --git a/tool/lemon.c b/tool/lemon.c
index c2c9554c89..08d3f39eba 100644
--- a/tool/lemon.c
+++ b/tool/lemon.c
@@ -272,6 +272,7 @@ struct symbol {
                            ** union is the correct data type for this object */
   int bContent;            /* True if this symbol ever carries content - if
                            ** it is ever more than just syntax */
+  int bWeakFallback;       /* True for a weak fallback */
   /* The following fields are used by MULTITERMINALs only */
   int nsubsym;             /* Number of constituent symbols in the MULTI */
   struct symbol **subsym;  /* Array of constituent symbols */
@@ -2209,6 +2210,7 @@ enum e_state {
   WAITING_FOR_DESTRUCTOR_SYMBOL,
   WAITING_FOR_DATATYPE_SYMBOL,
   WAITING_FOR_FALLBACK_ID,
+  WAITING_FOR_WEAK_FALLBACK_ID,
   WAITING_FOR_WILDCARD_ID,
   WAITING_FOR_CLASS_ID,
   WAITING_FOR_CLASS_TOKEN,
@@ -2667,6 +2669,12 @@ to follow the previous rule.");
       }
       break;
     case WAITING_FOR_FALLBACK_ID:
+      if( x[0]=='?' ){
+        psp->state = WAITING_FOR_WEAK_FALLBACK_ID;
+        break;
+      }
+      /* Fall through */
+    case WAITING_FOR_WEAK_FALLBACK_ID:
       if( x[0]=='.' ){
         psp->state = WAITING_FOR_DECL_OR_RULE;
       }else if( !ISUPPER(x[0]) ){
@@ -2683,6 +2691,8 @@ to follow the previous rule.");
           psp->errorcnt++;
         }else{
           sp->fallback = psp->fallback;
+          sp->bWeakFallback = (psp->state==WAITING_FOR_WEAK_FALLBACK_ID);
+          psp->state = WAITING_FOR_FALLBACK_ID;
           psp->gp->has_fallback = 1;
         }
       }
@@ -4493,6 +4503,9 @@ void ReportTable(
       struct symbol *p = lemp->symbols[i];
       if( p->fallback==0 ){
         fprintf(out, "    0,  /* %10s => nothing */\n", p->name);
+      }else if( p->bWeakFallback ){
+        fprintf(out, " %4d,  /* %10s => %s (weak) */\n",
+          -p->fallback->index, p->name, p->fallback->name);
       }else{
         fprintf(out, "  %3d,  /* %10s => %s */\n", p->fallback->index,
           p->name, p->fallback->name);
@@ -5112,18 +5125,12 @@ struct symbol *Symbol_new(const char *x)
   if( sp==0 ){
     sp = (struct symbol *)calloc(1, sizeof(struct symbol) );
     MemoryCheck(sp);
+    memset(sp, 0, sizeof(*sp));
     sp->name = Strsafe(x);
     sp->type = ISUPPER(*x) ? TERMINAL : NONTERMINAL;
-    sp->rule = 0;
-    sp->fallback = 0;
     sp->prec = -1;
     sp->assoc = UNK;
-    sp->firstset = 0;
     sp->lambda = LEMON_FALSE;
-    sp->destructor = 0;
-    sp->destLineno = 0;
-    sp->datatype = 0;
-    sp->useCnt = 0;
     Symbol_insert(sp,sp->name);
   }
   sp->useCnt++;
diff --git a/tool/lempar.c b/tool/lempar.c
index 885cefe143..d625fcb0a4 100644
--- a/tool/lempar.c
+++ b/tool/lempar.c
@@ -90,6 +90,7 @@
 /************* Begin control #defines *****************************************/
 %%
 /************* End control #defines *******************************************/
+#define YY_NLOOKAHEAD ((int)(sizeof(yy_lookahead)/sizeof(yy_lookahead[0])))
 
 /* Define the yytestcase() macro to be a no-op if is not already defined
 ** otherwise.
@@ -172,7 +173,7 @@
 ** it appears.
 */
 #ifdef YYFALLBACK
-static const YYCODETYPE yyFallback[] = {
+static const int yyFallback[] = {
 %%
 };
 #endif /* YYFALLBACK */
@@ -519,24 +520,34 @@ static YYACTIONTYPE yy_find_shift_action(
   do{
     i = yy_shift_ofst[stateno];
     assert( i>=0 );
-    assert( i+YYNTOKEN<=(int)sizeof(yy_lookahead)/sizeof(yy_lookahead[0]) );
+    /*assert( i+YYNTOKEN<=YY_NLOOKAHEAD );*/
     assert( iLookAhead!=YYNOCODE );
     assert( iLookAhead < YYNTOKEN );
     i += iLookAhead;
-    if( yy_lookahead[i]!=iLookAhead ){
+    if( i>=YY_NLOOKAHEAD || yy_lookahead[i]!=iLookAhead
+    ){
 #ifdef YYFALLBACK
-      YYCODETYPE iFallback;            /* Fallback token */
+      int iFallback;            /* Fallback token */
       if( iLookAhead<sizeof(yyFallback)/sizeof(yyFallback[0])
-             && (iFallback = yyFallback[iLookAhead])!=0 ){
-#ifndef NDEBUG
-        if( yyTraceFILE ){
-          fprintf(yyTraceFILE, "%sFALLBACK %s => %s\n",
-             yyTracePrompt, yyTokenName[iLookAhead], yyTokenName[iFallback]);
+       && (iFallback = yyFallback[iLookAhead])!=0
+      ){
+        if( iFallback<0 && yy_default[stateno]==YY_ERROR_ACTION ){
+          /* A weak fallback only happens if current lookahead is a
+          ** syntax error */
+          iFallback = -iFallback;
         }
+        if( iFallback>0 ){
+          /* A strong fallback happens regardless */
+#ifndef NDEBUG
+          if( yyTraceFILE ){
+            fprintf(yyTraceFILE, "%sFALLBACK %s => %s\n",
+               yyTracePrompt, yyTokenName[iLookAhead], yyTokenName[iFallback]);
+          }
 #endif
-        assert( yyFallback[iFallback]==0 ); /* Fallback loop must terminate */
-        iLookAhead = iFallback;
-        continue;
+          assert( yyFallback[iFallback]==0 ); /* Fallback loop must terminate */
+          iLookAhead = iFallback;
+          continue;
+        }
       }
 #endif
 #ifdef YYWILDCARD

From 04a8e0cd54219d1bc3ef1701377819957aa541e6 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 28 Jun 2018 20:05:04 +0000
Subject: [PATCH 102/154] Modifications to parse.y to better support backwards
 compatibility for the "window" keyword.

FossilOrigin-Name: 7c4b879bdb10f30260f0fb28fcb559ab0949865d10f4ff2cf13834a326198998
---
 manifest      | 17 +++++++----------
 manifest.uuid |  2 +-
 src/parse.y   | 22 ++++++++++++----------
 3 files changed, 20 insertions(+), 21 deletions(-)

diff --git a/manifest b/manifest
index fcb3dd292f..69ff0aa49e 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Introduce\sthe\sconcept\sof\s"weak\sfallback"\sin\sthe\sparser.\s\sA\sweak\sfallback\nonly\soccurs\sif\sa\ssyntax\serror\swould\sresult\sotherwise.
-D 2018-06-28T03:38:49.164
+C Modifications\sto\sparse.y\sto\sbetter\ssupport\sbackwards\scompatibility\sfor\sthe\n"window"\skeyword.
+D 2018-06-28T20:05:04.235
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 9517b50d35e5e495a241541b49f5512b8e9bcbac3fbfdc659215555efa5c4f40
+F src/parse.y 9b5eb0e61e615832647a7a77f9e675f1da536a133426327e6812316d83f275e7
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -1743,10 +1743,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 4383cb68a1241768ddb3f180f8cbb9ea1638f8806210b10aac1384b8a7ecdca2
-R 341c5aa0d73cc2ef03cecacf95853224
-T *branch * weak-fallback
-T *sym-weak-fallback *
-T -sym-exp-window-functions *
-U drh
-Z 196c50a9819aa6d1d98f4a403b164e6b
+P c41d7079fb63831bd2f009b64cbf5a423e8119e6b841bfd9bd5a2d85fba3b142
+R 4e74da2117f8f8cceb7bb5b15336dc74
+U dan
+Z e15fe89d6d9f69693116ca5d610ea195
diff --git a/manifest.uuid b/manifest.uuid
index 6b74c95f01..51740e4ee8 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-c41d7079fb63831bd2f009b64cbf5a423e8119e6b841bfd9bd5a2d85fba3b142
\ No newline at end of file
+7c4b879bdb10f30260f0fb28fcb559ab0949865d10f4ff2cf13834a326198998
\ No newline at end of file
diff --git a/src/parse.y b/src/parse.y
index 02989c28a2..1faa9104a1 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -217,8 +217,8 @@ columnname(A) ::= nm(A) typetoken(Y). {sqlite3AddColumn(pParse,&A,&Y);}
   EXCEPT INTERSECT UNION
 %endif SQLITE_OMIT_COMPOUND_SELECT
 %ifndef SQLITE_OMIT_WINDOWFUNC
-  CURRENT FILTER FOLLOWING ?OVER PARTITION 
-  PRECEDING RANGE UNBOUNDED ?WINDOW 
+  CURRENT FILTER FOLLOWING OVER PARTITION 
+  PRECEDING RANGE UNBOUNDED 
 %endif SQLITE_OMIT_WINDOWFUNC
   REINDEX RENAME CTIME_KW IF
   .
@@ -257,7 +257,7 @@ columnname(A) ::= nm(A) typetoken(Y). {sqlite3AddColumn(pParse,&A,&Y);}
 
 // And "ids" is an identifer-or-string.
 //
-%token_class ids  ID|STRING.
+%token_class ids ID|STRING.
 
 // The name of a column or table can be any of the following:
 //
@@ -265,6 +265,7 @@ columnname(A) ::= nm(A) typetoken(Y). {sqlite3AddColumn(pParse,&A,&Y);}
 nm(A) ::= id(A).
 nm(A) ::= STRING(A).
 nm(A) ::= JOIN_KW(A).
+nm(A) ::= WINDOW(A).
 
 // A typetoken is really zero or more tokens that form a type name such
 // as can be found after the column name in a CREATE TABLE statement.
@@ -280,8 +281,8 @@ typetoken(A) ::= typename(A) LP signed COMMA signed RP(Y). {
   A.n = (int)(&Y.z[Y.n] - A.z);
 }
 %type typename {Token}
-typename(A) ::= ids(A).
-typename(A) ::= typename(A) ids(Y). {A.n=Y.n+(int)(Y.z-A.z);}
+typename(A) ::= nm(A).
+typename(A) ::= typename(A) nm(Y). {A.n=Y.n+(int)(Y.z-A.z);}
 signed ::= plus_num.
 signed ::= minus_num.
 
@@ -342,7 +343,7 @@ ccons ::= CHECK LP expr(X) RP.   {sqlite3AddCheckConstraint(pParse,X);}
 ccons ::= REFERENCES nm(T) eidlist_opt(TA) refargs(R).
                                  {sqlite3CreateForeignKey(pParse,0,&T,TA,R);}
 ccons ::= defer_subclause(D).    {sqlite3DeferForeignKey(pParse,D);}
-ccons ::= COLLATE ids(C).        {sqlite3AddCollateType(pParse, &C);}
+ccons ::= COLLATE nm(C).        {sqlite3AddCollateType(pParse, &C);}
 
 // The optional AUTOINCREMENT keyword
 %type autoinc {int}
@@ -988,6 +989,7 @@ expr(A) ::= nm(X) DOT nm(Y) DOT nm(Z). {
 }
 term(A) ::= NULL|FLOAT|BLOB(X). {A=tokenExpr(pParse,@X,X); /*A-overwrites-X*/}
 term(A) ::= STRING(X).          {A=tokenExpr(pParse,@X,X); /*A-overwrites-X*/}
+term(A) ::= WINDOW(X).          {A=tokenExpr(pParse,TK_ID,X);/*A-overwrites-X*/}
 term(A) ::= INTEGER(X). {
   A = sqlite3ExprAlloc(pParse->db, TK_INTEGER, &X, 1);
 }
@@ -1011,7 +1013,7 @@ expr(A) ::= VARIABLE(X).     {
     }
   }
 }
-expr(A) ::= expr(A) COLLATE ids(C). {
+expr(A) ::= expr(A) COLLATE nm(C). {
   A = sqlite3ExprAddCollateToken(pParse, A, &C, 1);
 }
 %ifndef SQLITE_OMIT_CAST
@@ -1020,7 +1022,7 @@ expr(A) ::= CAST LP expr(E) AS typetoken(T) RP. {
   sqlite3ExprAttachSubtrees(pParse->db, A, E, 0);
 }
 %endif  SQLITE_OMIT_CAST
-expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP 
+expr(A) ::= nm(X) LP distinct(D) exprlist(Y) RP 
 %ifndef SQLITE_OMIT_WINDOWFUNC
   over_opt(Z)
 %endif
@@ -1034,7 +1036,7 @@ expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP
     A->flags |= EP_Distinct;
   }
 }
-expr(A) ::= id(X) LP STAR RP
+expr(A) ::= nm(X) LP STAR RP
 %ifndef SQLITE_OMIT_WINDOWFUNC
   over_opt(Z)
 %endif
@@ -1443,7 +1445,7 @@ eidlist(A) ::= nm(Y) collate(C) sortorder(Z). {
 
 %type collate {int}
 collate(C) ::= .              {C = 0;}
-collate(C) ::= COLLATE ids.   {C = 1;}
+collate(C) ::= COLLATE nm.    {C = 1;}
 
 
 ///////////////////////////// The DROP INDEX command /////////////////////////

From 59ff42516cdd4a5c4d5e5d65b45ce7e312bf0472 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 29 Jun 2018 17:44:52 +0000
Subject: [PATCH 103/154] Instead of using a lemon %fallback directive, have
 the tokenizer try to figure out whether an instance of "WINDOW" should be
 TK_WINDOW or TK_ID.

FossilOrigin-Name: 022079cb0d67be5ac0a50dd9a4d41ee55ce8df681ecd0a544170d75fc8649978
---
 manifest          |  19 ++++----
 manifest.uuid     |   2 +-
 src/parse.y       |  22 ++++-----
 src/sqliteInt.h   |   1 +
 src/tokenize.c    |  56 +++++++++++++++++++++-
 test/window6.test | 117 ++++++++++++++++++++++++++++++++++++++++++++++
 tool/lempar.c     |  14 ++++++
 7 files changed, 208 insertions(+), 23 deletions(-)
 create mode 100644 test/window6.test

diff --git a/manifest b/manifest
index 69ff0aa49e..e6513a564a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Modifications\sto\sparse.y\sto\sbetter\ssupport\sbackwards\scompatibility\sfor\sthe\n"window"\skeyword.
-D 2018-06-28T20:05:04.235
+C Instead\sof\susing\sa\slemon\s%fallback\sdirective,\shave\sthe\stokenizer\stry\sto\sfigure\nout\swhether\san\sinstance\sof\s"WINDOW"\sshould\sbe\sTK_WINDOW\sor\sTK_ID.
+D 2018-06-29T17:44:52.692
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 9b5eb0e61e615832647a7a77f9e675f1da536a133426327e6812316d83f275e7
+F src/parse.y 216e0e953df076ef89668614e5aab8b489e0c2c24f7ff17cf42e7bea802793a9
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -500,7 +500,7 @@ F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadf
 F src/sqlite.h.in 243e0b1d302c237372c06002fe84f731fd22587eccd142d15de834a5296514ff
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h 74728a0b20e9d2173470186a8ca1e3229c79abb19d1ac4eedc4562e8905d798d
+F src/sqliteInt.h c14c850bf0c4dd3860cc5092f140ae9faf93b77737b3febf38454088e1ab3988
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -558,7 +558,7 @@ F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a9
 F src/test_window.c add59ee68568868129516999f30a68e8ab2afd276e272aba4f633c9fc52c1bb1
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
-F src/tokenize.c b42aa952b05df665ed10d54f02c467159cd9fcb8cbbe5ff3c9cd74781fa2803c
+F src/tokenize.c e25caaeb2ad912a378e528771d843badbaee560f2eb8c25dbface05a32c2e4cf
 F src/treeview.c 2c5c4bc0a443401db5fd621542150452ddf5055d38edd4eef868bc2b6bfb0260
 F src/trigger.c 4ace6d1d5ba9a89822deb287317f33c810440526eafe185c2d8a48c31df1e995
 F src/update.c 46dc24c6158446aaab45caee09b6d99327cb479268b83ffeb5b701823da3b67b
@@ -1626,6 +1626,7 @@ F test/window3.test 47884c240d0d5234ad9c6da65452cfec1bfa69ec6f9c4158cd9750c3d88d
 F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
 F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
 F test/window5.test a4835b96d30eb3b81a1dbc683e333e57a614645eb6f2ae476a7ed2addf0b0f1f
+F test/window6.test 97bd18d5cccd612b8a93be4017a7a26c2968a1c868a458d0d66d8d8cc62e33f8
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1663,7 +1664,7 @@ F tool/genfkey.test 4196a8928b78f51d54ef58e99e99401ab2f0a7e5
 F tool/getlock.c f4c39b651370156cae979501a7b156bdba50e7ce
 F tool/kvtest-speed.sh 4761a9c4b3530907562314d7757995787f7aef8f
 F tool/lemon.c 93a321bd82b5c73191e95b2f27203048bf4d054fdab4a257b7a6c9541f31828d
-F tool/lempar.c c7371bad027fd516b7eaed36d03353972df35163672637cddd00f472889932f9
+F tool/lempar.c afc03d26f33db130c0ca7d5942000aea7eedd638455845ca76f792818896df19
 F tool/libvers.c caafc3b689638a1d88d44bc5f526c2278760d9b9
 F tool/loadfts.c c3c64e4d5e90e8ba41159232c2189dba4be7b862
 F tool/logest.c 11346aa019e2e77a00902aa7d0cabd27bd2e8cca
@@ -1743,7 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P c41d7079fb63831bd2f009b64cbf5a423e8119e6b841bfd9bd5a2d85fba3b142
-R 4e74da2117f8f8cceb7bb5b15336dc74
+P 7c4b879bdb10f30260f0fb28fcb559ab0949865d10f4ff2cf13834a326198998
+R 53ad10aee784d2508443a129bf20d430
 U dan
-Z e15fe89d6d9f69693116ca5d610ea195
+Z a766b00041899c4982e4087a15ea2a82
diff --git a/manifest.uuid b/manifest.uuid
index 51740e4ee8..2825dfd995 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-7c4b879bdb10f30260f0fb28fcb559ab0949865d10f4ff2cf13834a326198998
\ No newline at end of file
+022079cb0d67be5ac0a50dd9a4d41ee55ce8df681ecd0a544170d75fc8649978
\ No newline at end of file
diff --git a/src/parse.y b/src/parse.y
index 1faa9104a1..0ed0b28bad 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -217,8 +217,8 @@ columnname(A) ::= nm(A) typetoken(Y). {sqlite3AddColumn(pParse,&A,&Y);}
   EXCEPT INTERSECT UNION
 %endif SQLITE_OMIT_COMPOUND_SELECT
 %ifndef SQLITE_OMIT_WINDOWFUNC
-  CURRENT FILTER FOLLOWING OVER PARTITION 
-  PRECEDING RANGE UNBOUNDED 
+  CURRENT FILTER FOLLOWING OVER PARTITION
+  PRECEDING RANGE UNBOUNDED
 %endif SQLITE_OMIT_WINDOWFUNC
   REINDEX RENAME CTIME_KW IF
   .
@@ -257,7 +257,7 @@ columnname(A) ::= nm(A) typetoken(Y). {sqlite3AddColumn(pParse,&A,&Y);}
 
 // And "ids" is an identifer-or-string.
 //
-%token_class ids ID|STRING.
+%token_class ids  ID|STRING.
 
 // The name of a column or table can be any of the following:
 //
@@ -265,7 +265,6 @@ columnname(A) ::= nm(A) typetoken(Y). {sqlite3AddColumn(pParse,&A,&Y);}
 nm(A) ::= id(A).
 nm(A) ::= STRING(A).
 nm(A) ::= JOIN_KW(A).
-nm(A) ::= WINDOW(A).
 
 // A typetoken is really zero or more tokens that form a type name such
 // as can be found after the column name in a CREATE TABLE statement.
@@ -281,8 +280,8 @@ typetoken(A) ::= typename(A) LP signed COMMA signed RP(Y). {
   A.n = (int)(&Y.z[Y.n] - A.z);
 }
 %type typename {Token}
-typename(A) ::= nm(A).
-typename(A) ::= typename(A) nm(Y). {A.n=Y.n+(int)(Y.z-A.z);}
+typename(A) ::= ids(A).
+typename(A) ::= typename(A) ids(Y). {A.n=Y.n+(int)(Y.z-A.z);}
 signed ::= plus_num.
 signed ::= minus_num.
 
@@ -343,7 +342,7 @@ ccons ::= CHECK LP expr(X) RP.   {sqlite3AddCheckConstraint(pParse,X);}
 ccons ::= REFERENCES nm(T) eidlist_opt(TA) refargs(R).
                                  {sqlite3CreateForeignKey(pParse,0,&T,TA,R);}
 ccons ::= defer_subclause(D).    {sqlite3DeferForeignKey(pParse,D);}
-ccons ::= COLLATE nm(C).        {sqlite3AddCollateType(pParse, &C);}
+ccons ::= COLLATE ids(C).        {sqlite3AddCollateType(pParse, &C);}
 
 // The optional AUTOINCREMENT keyword
 %type autoinc {int}
@@ -989,7 +988,6 @@ expr(A) ::= nm(X) DOT nm(Y) DOT nm(Z). {
 }
 term(A) ::= NULL|FLOAT|BLOB(X). {A=tokenExpr(pParse,@X,X); /*A-overwrites-X*/}
 term(A) ::= STRING(X).          {A=tokenExpr(pParse,@X,X); /*A-overwrites-X*/}
-term(A) ::= WINDOW(X).          {A=tokenExpr(pParse,TK_ID,X);/*A-overwrites-X*/}
 term(A) ::= INTEGER(X). {
   A = sqlite3ExprAlloc(pParse->db, TK_INTEGER, &X, 1);
 }
@@ -1013,7 +1011,7 @@ expr(A) ::= VARIABLE(X).     {
     }
   }
 }
-expr(A) ::= expr(A) COLLATE nm(C). {
+expr(A) ::= expr(A) COLLATE ids(C). {
   A = sqlite3ExprAddCollateToken(pParse, A, &C, 1);
 }
 %ifndef SQLITE_OMIT_CAST
@@ -1022,7 +1020,7 @@ expr(A) ::= CAST LP expr(E) AS typetoken(T) RP. {
   sqlite3ExprAttachSubtrees(pParse->db, A, E, 0);
 }
 %endif  SQLITE_OMIT_CAST
-expr(A) ::= nm(X) LP distinct(D) exprlist(Y) RP 
+expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP 
 %ifndef SQLITE_OMIT_WINDOWFUNC
   over_opt(Z)
 %endif
@@ -1036,7 +1034,7 @@ expr(A) ::= nm(X) LP distinct(D) exprlist(Y) RP
     A->flags |= EP_Distinct;
   }
 }
-expr(A) ::= nm(X) LP STAR RP
+expr(A) ::= id(X) LP STAR RP
 %ifndef SQLITE_OMIT_WINDOWFUNC
   over_opt(Z)
 %endif
@@ -1445,7 +1443,7 @@ eidlist(A) ::= nm(Y) collate(C) sortorder(Z). {
 
 %type collate {int}
 collate(C) ::= .              {C = 0;}
-collate(C) ::= COLLATE nm.    {C = 1;}
+collate(C) ::= COLLATE ids.   {C = 1;}
 
 
 ///////////////////////////// The DROP INDEX command /////////////////////////
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 9fab8f5590..448918a7f6 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -4299,6 +4299,7 @@ char sqlite3IndexColumnAffinity(sqlite3*, Index*, int);
   void sqlite3ParserFree(void*, void(*)(void*));
 #endif
 void sqlite3Parser(void*, int, Token);
+int sqlite3ParserFallback(int);
 #ifdef YYTRACKMAXSTACKDEPTH
   int sqlite3ParserStackPeak(void*);
 #endif
diff --git a/src/tokenize.c b/src/tokenize.c
index 3286f94f54..10ad25e29f 100644
--- a/src/tokenize.c
+++ b/src/tokenize.c
@@ -188,6 +188,55 @@ const char sqlite3IsEbcdicIdChar[] = {
 int sqlite3IsIdChar(u8 c){ return IdChar(c); }
 #endif
 
+/*
+** Return the id of the next token in string (*pz). Before returning, set
+** (*pz) to point to the byte following the parsed token.
+**
+** This function assumes that any keywords that start with "w" are 
+** actually TK_ID.
+*/
+static int windowGetToken(const unsigned char **pz){
+  int ret;
+  const unsigned char *z = *pz;
+  if( z[0]=='w' || z[0]=='W' ){
+    do { z++; }while( IdChar(z[0]) );
+    ret = TK_ID;
+  }else{
+    z += sqlite3GetToken(z, &ret);
+  }
+  *pz = z;
+  return ret;
+}
+
+/*
+** The tokenizer has just parsed the keyword WINDOW. In this case the token
+** may really be the keyword (TK_WINDOW), or may be an identifier (TK_ID).
+** This function determines which it is by inspecting the next two tokens
+** in the input stream. Specifically, the token is TK_WINDOW if the following
+** two tokens are:
+**
+**   * TK_ID, or something else that can be used as a window name, and
+**   * TK_AS.
+**
+** Instead of using sqlite3GetToken() to parse tokens directly, this function
+** uses windowGetToken(). This is to avoid recursion if the input is similar
+** to "window window window window".
+*/
+static void analyzeWindowKeyword(const unsigned char *z, int *tokenType){
+  int t;
+  assert( *tokenType==TK_WINDOW );
+  while( (t = windowGetToken(&z))==TK_SPACE );
+  if( t!=TK_ID && t!=TK_STRING 
+   && t!=TK_JOIN_KW && sqlite3ParserFallback(t)!=TK_ID 
+  ){
+    *tokenType = TK_ID;
+  }else{
+    while( (t = windowGetToken(&z))==TK_SPACE );
+    if( t!=TK_AS ){
+      *tokenType = TK_ID;
+    }
+  }
+}
 
 /*
 ** Return the length (in bytes) of the token that begins at z[0]. 
@@ -433,7 +482,12 @@ int sqlite3GetToken(const unsigned char *z, int *tokenType){
         break;
       }
       *tokenType = TK_ID;
-      return keywordCode((char*)z, i, tokenType);
+      keywordCode((char*)z, i, tokenType);
+      if( *tokenType==TK_WINDOW ){
+        assert( i==6 );
+        analyzeWindowKeyword(&z[6], tokenType);
+      }
+      return i;
     }
     case CC_X: {
 #ifndef SQLITE_OMIT_BLOB_LITERAL
diff --git a/test/window6.test b/test/window6.test
new file mode 100644
index 0000000000..a6706fc521
--- /dev/null
+++ b/test/window6.test
@@ -0,0 +1,117 @@
+# 2018 May 8
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# This file implements regression tests for SQLite library. Specifically,
+# it tests the sqlite3_create_window_function() API.
+#
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+set testprefix window6
+
+ifcapable !windowfunc {
+  finish_test
+  return
+}
+
+set setup {
+  CREATE TABLE %t1(%a, %b %typename);
+  INSERT INTO %t1 VALUES(1, 'a');
+  INSERT INTO %t1 VALUES(2, 'b');
+  INSERT INTO %t1 VALUES(3, 'c');
+  INSERT INTO %t1 VALUES(4, 'd');
+  INSERT INTO %t1 VALUES(5, 'e');
+}
+
+foreach {tn vars} {
+  1 {}
+  2 { set A(%t1) over }
+  3 { set A(%a)  over }
+  4 { 
+    set A(%alias)   over 
+    set A(%a)       following 
+    set A(%b)       over 
+  }
+  5 { 
+    set A(%t1)      over 
+    set A(%a)       following 
+    set A(%b)       preceding 
+    set A(%w)       current 
+    set A(%alias)   filter 
+    set A(%typename)  window 
+  }
+
+  6 { 
+    set A(%a)       window 
+  }
+} {
+  set A(%t1)    t1
+  set A(%a)     a
+  set A(%b)     b
+  set A(%w)     w
+  set A(%alias) alias
+  set A(%typename) integer
+  eval $vars
+
+  set MAP [array get A]
+  set setup_sql [string map $MAP $setup]
+  reset_db
+  execsql $setup_sql
+
+  do_execsql_test 1.$tn.1 [string map $MAP {
+    SELECT group_concat(%a, '.') OVER (ORDER BY %b) FROM %t1
+  }] {1 1.2 1.2.3 1.2.3.4 1.2.3.4.5}
+
+  do_execsql_test 1.$tn.2 [string map $MAP {
+    SELECT sum(%a) OVER %w FROM %t1 WINDOW %w AS (ORDER BY %b)
+  }] {1 3 6 10 15}
+
+  do_execsql_test 1.$tn.3 [string map $MAP {
+    SELECT sum(%alias.%a) OVER %w FROM %t1 %alias WINDOW %w AS (ORDER BY %b)
+  }] {1 3 6 10 15}
+
+  do_execsql_test 1.$tn.4 [string map $MAP {
+    SELECT sum(%a) %alias FROM %t1
+  }] {15}
+}
+
+
+proc winproc {args} { return "window: $args" }
+db func window winproc
+do_execsql_test 2.0 {
+  SELECT window('hello world');
+} {{window: {hello world}}}
+
+proc wincmp {a b} { string compare $b $a }
+db collate window wincmp
+do_execsql_test 3.0 {
+  CREATE TABLE window(x COLLATE window);
+  INSERT INTO window VALUES('bob'), ('alice'), ('cate');
+  SELECT * FROM window ORDER BY x COLLATE window;
+} {cate bob alice}
+do_execsql_test 3.1 {
+  DROP TABLE window;
+  CREATE TABLE x1(x);
+  INSERT INTO x1 VALUES('bob'), ('alice'), ('cate');
+  CREATE INDEX window ON x1(x COLLATE window);
+  SELECT * FROM x1 ORDER BY x COLLATE window;
+} {cate bob alice}
+
+
+do_execsql_test 4.0 { CREATE TABLE t4(x, y); }
+
+# do_execsql_test 4.1 { PRAGMA parser_trace = 1 }
+do_execsql_test 4.1 { 
+  SELECT * FROM t4 window, t4;
+}
+
+
+finish_test
+
diff --git a/tool/lempar.c b/tool/lempar.c
index d625fcb0a4..feb79e3a58 100644
--- a/tool/lempar.c
+++ b/tool/lempar.c
@@ -1068,3 +1068,17 @@ void Parse(
 #endif
   return;
 }
+
+/*
+** Return the fallback token corresponding to canonical token iToken, or
+** 0 if iToken has no fallback.
+*/
+int ParseFallback(int iToken){
+#ifdef YYFALLBACK
+  if( iToken<sizeof(yyFallback)/sizeof(yyFallback[0]) ){
+    return yyFallback[iToken];
+  }
+#endif
+  return 0;
+}
+

From 769309fcf3083a884fe2c77d6fc193d0a409f3ce Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 29 Jun 2018 19:54:51 +0000
Subject: [PATCH 104/154] Improve on the previous checkin. Still a bit slow.

FossilOrigin-Name: c1fb41aa7b7207b81ee1d5d32da3380b36d694033b87a2873981e0c6437ba956
---
 manifest       | 12 ++++++------
 manifest.uuid  |  2 +-
 src/tokenize.c | 19 +++++++++----------
 3 files changed, 16 insertions(+), 17 deletions(-)

diff --git a/manifest b/manifest
index e6513a564a..f3ee787749 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Instead\sof\susing\sa\slemon\s%fallback\sdirective,\shave\sthe\stokenizer\stry\sto\sfigure\nout\swhether\san\sinstance\sof\s"WINDOW"\sshould\sbe\sTK_WINDOW\sor\sTK_ID.
-D 2018-06-29T17:44:52.692
+C Improve\son\sthe\sprevious\scheckin.\sStill\sa\sbit\sslow.
+D 2018-06-29T19:54:51.681
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -558,7 +558,7 @@ F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a9
 F src/test_window.c add59ee68568868129516999f30a68e8ab2afd276e272aba4f633c9fc52c1bb1
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
-F src/tokenize.c e25caaeb2ad912a378e528771d843badbaee560f2eb8c25dbface05a32c2e4cf
+F src/tokenize.c c747c0bd913957db6c8d04b990dc89cd7e386403ef32fe23f77182f83fe1c422
 F src/treeview.c 2c5c4bc0a443401db5fd621542150452ddf5055d38edd4eef868bc2b6bfb0260
 F src/trigger.c 4ace6d1d5ba9a89822deb287317f33c810440526eafe185c2d8a48c31df1e995
 F src/update.c 46dc24c6158446aaab45caee09b6d99327cb479268b83ffeb5b701823da3b67b
@@ -1744,7 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 7c4b879bdb10f30260f0fb28fcb559ab0949865d10f4ff2cf13834a326198998
-R 53ad10aee784d2508443a129bf20d430
+P 022079cb0d67be5ac0a50dd9a4d41ee55ce8df681ecd0a544170d75fc8649978
+R 80db462d4d1bca4df50e900a3c59e228
 U dan
-Z a766b00041899c4982e4087a15ea2a82
+Z d426a5a866f464dd5bcd7eefbf14a41b
diff --git a/manifest.uuid b/manifest.uuid
index 2825dfd995..0463aaf42f 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-022079cb0d67be5ac0a50dd9a4d41ee55ce8df681ecd0a544170d75fc8649978
\ No newline at end of file
+c1fb41aa7b7207b81ee1d5d32da3380b36d694033b87a2873981e0c6437ba956
\ No newline at end of file
diff --git a/src/tokenize.c b/src/tokenize.c
index 10ad25e29f..cfd631344b 100644
--- a/src/tokenize.c
+++ b/src/tokenize.c
@@ -222,20 +222,21 @@ static int windowGetToken(const unsigned char **pz){
 ** uses windowGetToken(). This is to avoid recursion if the input is similar
 ** to "window window window window".
 */
-static void analyzeWindowKeyword(const unsigned char *z, int *tokenType){
+static int analyzeWindowKeyword(const unsigned char *z){
   int t;
-  assert( *tokenType==TK_WINDOW );
+  int ret = TK_WINDOW;
   while( (t = windowGetToken(&z))==TK_SPACE );
   if( t!=TK_ID && t!=TK_STRING 
    && t!=TK_JOIN_KW && sqlite3ParserFallback(t)!=TK_ID 
   ){
-    *tokenType = TK_ID;
+    ret = TK_ID;
   }else{
     while( (t = windowGetToken(&z))==TK_SPACE );
     if( t!=TK_AS ){
-      *tokenType = TK_ID;
+      ret = TK_ID;
     }
   }
+  return ret;
 }
 
 /*
@@ -482,12 +483,7 @@ int sqlite3GetToken(const unsigned char *z, int *tokenType){
         break;
       }
       *tokenType = TK_ID;
-      keywordCode((char*)z, i, tokenType);
-      if( *tokenType==TK_WINDOW ){
-        assert( i==6 );
-        analyzeWindowKeyword(&z[6], tokenType);
-      }
-      return i;
+      return keywordCode((char*)z, i, tokenType);
     }
     case CC_X: {
 #ifndef SQLITE_OMIT_BLOB_LITERAL
@@ -594,6 +590,9 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
       }
       zSql += n;
     }else{
+      if( tokenType==TK_WINDOW ){
+        tokenType = analyzeWindowKeyword((const u8*)&zSql[6]);
+      }
       pParse->sLastToken.z = zSql;
       pParse->sLastToken.n = n;
       sqlite3Parser(pEngine, tokenType, pParse->sLastToken);

From d437ac0c58e42ad3cb8bb71986af1a6e5ded5464 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 29 Jun 2018 20:21:24 +0000
Subject: [PATCH 105/154] Further tweaks to sqlite3RunParser().

FossilOrigin-Name: eef61ffab7fa36b126f57bf7028dd35c67ed4617c47145be059f91e58023b0a4
---
 manifest       | 12 +++++-----
 manifest.uuid  |  2 +-
 src/tokenize.c | 60 +++++++++++++++++++++++++-------------------------
 3 files changed, 37 insertions(+), 37 deletions(-)

diff --git a/manifest b/manifest
index f3ee787749..92a7f4571f 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Improve\son\sthe\sprevious\scheckin.\sStill\sa\sbit\sslow.
-D 2018-06-29T19:54:51.681
+C Further\stweaks\sto\ssqlite3RunParser().
+D 2018-06-29T20:21:24.547
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -558,7 +558,7 @@ F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a9
 F src/test_window.c add59ee68568868129516999f30a68e8ab2afd276e272aba4f633c9fc52c1bb1
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
-F src/tokenize.c c747c0bd913957db6c8d04b990dc89cd7e386403ef32fe23f77182f83fe1c422
+F src/tokenize.c 1a774b6a5763356075611829db77fcdd71d19e8b62e04ada2465452d035fa29a
 F src/treeview.c 2c5c4bc0a443401db5fd621542150452ddf5055d38edd4eef868bc2b6bfb0260
 F src/trigger.c 4ace6d1d5ba9a89822deb287317f33c810440526eafe185c2d8a48c31df1e995
 F src/update.c 46dc24c6158446aaab45caee09b6d99327cb479268b83ffeb5b701823da3b67b
@@ -1744,7 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 022079cb0d67be5ac0a50dd9a4d41ee55ce8df681ecd0a544170d75fc8649978
-R 80db462d4d1bca4df50e900a3c59e228
+P c1fb41aa7b7207b81ee1d5d32da3380b36d694033b87a2873981e0c6437ba956
+R c80a7a4c6f0c2361268be820ff770081
 U dan
-Z d426a5a866f464dd5bcd7eefbf14a41b
+Z f55b75e859bb2a1b9b8dde585520a141
diff --git a/manifest.uuid b/manifest.uuid
index 0463aaf42f..babf03de84 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-c1fb41aa7b7207b81ee1d5d32da3380b36d694033b87a2873981e0c6437ba956
\ No newline at end of file
+eef61ffab7fa36b126f57bf7028dd35c67ed4617c47145be059f91e58023b0a4
\ No newline at end of file
diff --git a/src/tokenize.c b/src/tokenize.c
index cfd631344b..c9f586a7cb 100644
--- a/src/tokenize.c
+++ b/src/tokenize.c
@@ -559,24 +559,11 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
   assert( pParse->nVar==0 );
   assert( pParse->pVList==0 );
   while( 1 ){
-    if( zSql[0]!=0 ){
-      n = sqlite3GetToken((u8*)zSql, &tokenType);
-      mxSqlLen -= n;
-      if( mxSqlLen<0 ){
-        pParse->rc = SQLITE_TOOBIG;
-        break;
-      }
-    }else{
-      /* Upon reaching the end of input, call the parser two more times
-      ** with tokens TK_SEMI and 0, in that order. */
-      if( lastTokenParsed==TK_SEMI ){
-        tokenType = 0;
-      }else if( lastTokenParsed==0 ){
-        break;
-      }else{
-        tokenType = TK_SEMI;
-      }
-      n = 0;
+    n = sqlite3GetToken((u8*)zSql, &tokenType);
+    mxSqlLen -= n;
+    if( mxSqlLen<0 ){
+      pParse->rc = SQLITE_TOOBIG;
+      break;
     }
     if( tokenType>=TK_SPACE ){
       assert( tokenType==TK_SPACE || tokenType==TK_ILLEGAL );
@@ -584,22 +571,35 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
         pParse->rc = SQLITE_INTERRUPT;
         break;
       }
-      if( tokenType==TK_ILLEGAL ){
+      if( tokenType==TK_SPACE ){
+        zSql += n;
+        continue;
+      }
+      if( zSql[0]==0 ){
+        /* Upon reaching the end of input, call the parser two more times
+        ** with tokens TK_SEMI and 0, in that order. */
+        if( lastTokenParsed==TK_SEMI ){
+          tokenType = 0;
+        }else if( lastTokenParsed==0 ){
+          break;
+        }else{
+          tokenType = TK_SEMI;
+        }
+        n = 0;
+      }else{
         sqlite3ErrorMsg(pParse, "unrecognized token: \"%.*s\"", n, zSql);
         break;
       }
-      zSql += n;
-    }else{
-      if( tokenType==TK_WINDOW ){
-        tokenType = analyzeWindowKeyword((const u8*)&zSql[6]);
-      }
-      pParse->sLastToken.z = zSql;
-      pParse->sLastToken.n = n;
-      sqlite3Parser(pEngine, tokenType, pParse->sLastToken);
-      lastTokenParsed = tokenType;
-      zSql += n;
-      if( pParse->rc!=SQLITE_OK || db->mallocFailed ) break;
     }
+    else if( tokenType==TK_WINDOW ){
+      tokenType = analyzeWindowKeyword((const u8*)&zSql[6]);
+    }
+    pParse->sLastToken.z = zSql;
+    pParse->sLastToken.n = n;
+    sqlite3Parser(pEngine, tokenType, pParse->sLastToken);
+    lastTokenParsed = tokenType;
+    zSql += n;
+    if( pParse->rc!=SQLITE_OK || db->mallocFailed ) break;
   }
   assert( nErr==0 );
 #ifdef YYTRACKMAXSTACKDEPTH

From 34a7d790ba7cf95d96b3d6616d98ac977f698202 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 29 Jun 2018 20:43:33 +0000
Subject: [PATCH 106/154] Further performance related tweaks for
 sqlite3RunParser().

FossilOrigin-Name: 5eb4776598f5bba7ef21a2c58c03105544da73d642d7ffc146f84eff1993d71e
---
 manifest       |  16 ++--
 manifest.uuid  |   2 +-
 src/parse.y    | 197 +++++++++++++++++++++++++------------------------
 src/resolve.c  |   4 +
 src/tokenize.c |  18 ++++-
 5 files changed, 129 insertions(+), 108 deletions(-)

diff --git a/manifest b/manifest
index 92a7f4571f..a487454ad8 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Further\stweaks\sto\ssqlite3RunParser().
-D 2018-06-29T20:21:24.547
+C Further\sperformance\srelated\stweaks\sfor\ssqlite3RunParser().
+D 2018-06-29T20:43:33.493
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 216e0e953df076ef89668614e5aab8b489e0c2c24f7ff17cf42e7bea802793a9
+F src/parse.y 5a53ee98a8bc76c526ae9b4a05cc4912f6b7b2e2a601a8fccc38b7b3b7830f97
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -493,7 +493,7 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c e966ecc97c3671ff0e96227c8c877b83f2d33ea371ee190bbf1698b36b5605c0
 F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c 43b97be1b1bfbe7aa6a0e8608f5a022eac8cd2d727bdf4d0287371ba32218e7b
+F src/resolve.c d8359c59c683fc33324c3a0abe0d393304861f05dd2e0d47e5974a501bcf4682
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 82aa95aa1cfeadef5ecae1126afff1efca64c49050bbf7116425a8a1d4fc5e6c
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
@@ -558,7 +558,7 @@ F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a9
 F src/test_window.c add59ee68568868129516999f30a68e8ab2afd276e272aba4f633c9fc52c1bb1
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
-F src/tokenize.c 1a774b6a5763356075611829db77fcdd71d19e8b62e04ada2465452d035fa29a
+F src/tokenize.c a9b97ce736f958390e51ed9f03a152403a2b77d54e6d5729f1ee1f365878d507
 F src/treeview.c 2c5c4bc0a443401db5fd621542150452ddf5055d38edd4eef868bc2b6bfb0260
 F src/trigger.c 4ace6d1d5ba9a89822deb287317f33c810440526eafe185c2d8a48c31df1e995
 F src/update.c 46dc24c6158446aaab45caee09b6d99327cb479268b83ffeb5b701823da3b67b
@@ -1744,7 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P c1fb41aa7b7207b81ee1d5d32da3380b36d694033b87a2873981e0c6437ba956
-R c80a7a4c6f0c2361268be820ff770081
+P eef61ffab7fa36b126f57bf7028dd35c67ed4617c47145be059f91e58023b0a4
+R 6ded36ebdbd58ad68c3d8e5fd0ba8d3c
 U dan
-Z f55b75e859bb2a1b9b8dde585520a141
+Z d818b642c548723f779df4a6cae08814
diff --git a/manifest.uuid b/manifest.uuid
index babf03de84..afa47307eb 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-eef61ffab7fa36b126f57bf7028dd35c67ed4617c47145be059f91e58023b0a4
\ No newline at end of file
+5eb4776598f5bba7ef21a2c58c03105544da73d642d7ffc146f84eff1993d71e
\ No newline at end of file
diff --git a/src/parse.y b/src/parse.y
index 0ed0b28bad..5097314329 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -1046,102 +1046,6 @@ term(A) ::= CTIME_KW(OP). {
   A = sqlite3ExprFunction(pParse, 0, &OP);
 }
 
-%ifndef SQLITE_OMIT_WINDOWFUNC
-
-%type windowdefn_opt {Window*}
-%destructor windowdefn_opt {sqlite3WindowDelete(pParse->db, $$);}
-windowdefn_opt(A) ::= . { A = 0; }
-windowdefn_opt(A) ::= WINDOW windowdefn_list(B). { A = B; }
-
-%type windowdefn_list {Window*}
-%destructor windowdefn_list {sqlite3WindowDelete(pParse->db, $$);}
-windowdefn_list(A) ::= windowdefn(Z). { A = Z; }
-windowdefn_list(A) ::= windowdefn_list(Y) COMMA windowdefn(Z). {
-  if( Z ) Z->pNextWin = Y;
-  A = Z;
-}
-
-%type windowdefn {Window*}
-%destructor windowdefn {sqlite3WindowDelete(pParse->db, $$);}
-windowdefn(A) ::= nm(X) AS window(Y). {
-  if( Y ){
-    Y->zName = sqlite3DbStrNDup(pParse->db, X.z, X.n);
-  }
-  A = Y;
-}
-
-%type over_opt {Window*}
-%destructor over_opt {sqlite3WindowDelete(pParse->db, $$);}
-
-%type window {Window*}
-%destructor window {sqlite3WindowDelete(pParse->db, $$);}
-
-%type frame_opt {Window*}
-%destructor frame_opt {sqlite3WindowDelete(pParse->db, $$);}
-
-%type window_or_nm {Window*}
-%destructor window_or_nm {
-sqlite3WindowDelete(pParse->db, $$);}
-
-%type part_opt {ExprList*}
-%destructor part_opt {sqlite3ExprListDelete(pParse->db, $$);}
-
-%type filter_opt {Expr*}
-%destructor filter_opt {sqlite3ExprDelete(pParse->db, $$);}
-
-%type range_or_rows {int}
-
-%type frame_bound {struct FrameBound}
-%destructor frame_bound {sqlite3ExprDelete(pParse->db, $$.pExpr);}
-
-over_opt(A) ::= . { A = 0; }
-over_opt(A) ::= filter_opt(W) OVER window_or_nm(Z). {
-  A = Z;
-  if( A ) A->pFilter = W;
-}
-
-window_or_nm(A) ::= window(Z). {A = Z;}
-window_or_nm(A) ::= nm(Z). {
-  A = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
-  if( A ){
-    A->zName = sqlite3DbStrNDup(pParse->db, Z.z, Z.n);
-  }
-}
-
-window(A) ::= LP part_opt(X) orderby_opt(Y) frame_opt(Z) RP. {
-  A = Z;
-  if( A ){
-    A->pPartition = X;
-    A->pOrderBy = Y;
-  }
-}
-
-part_opt(A) ::= PARTITION BY exprlist(X). { A = X; }
-part_opt(A) ::= .                         { A = 0; }
-filter_opt(A) ::= .                            { A = 0; }
-filter_opt(A) ::= FILTER LP WHERE expr(X) RP.  { A = X; }
-
-frame_opt(A) ::= .                             { 
-  A = sqlite3WindowAlloc(pParse, TK_RANGE, TK_UNBOUNDED, 0, TK_CURRENT, 0);
-}
-frame_opt(A) ::= range_or_rows(X) frame_bound(Y). { 
-  A = sqlite3WindowAlloc(pParse, X, Y.eType, Y.pExpr, TK_CURRENT, 0);
-}
-frame_opt(A) ::= range_or_rows(X) BETWEEN frame_bound(Y) AND frame_bound(Z). { 
-  A = sqlite3WindowAlloc(pParse, X, Y.eType, Y.pExpr, Z.eType, Z.pExpr);
-}
-
-range_or_rows(A) ::= RANGE.   { A = TK_RANGE; }
-range_or_rows(A) ::= ROWS.    { A = TK_ROWS;  }
-
-frame_bound(A) ::= UNBOUNDED PRECEDING. { A.eType = TK_UNBOUNDED; A.pExpr = 0; }
-frame_bound(A) ::= expr(X) PRECEDING.   { A.eType = TK_PRECEDING; A.pExpr = X; }
-frame_bound(A) ::= CURRENT ROW.         { A.eType = TK_CURRENT  ; A.pExpr = 0; }
-frame_bound(A) ::= expr(X) FOLLOWING.   { A.eType = TK_FOLLOWING; A.pExpr = X; }
-frame_bound(A) ::= UNBOUNDED FOLLOWING. { A.eType = TK_UNBOUNDED; A.pExpr = 0; }
-
-%endif // SQLITE_OMIT_WINDOWFUNC
-
 expr(A) ::= LP nexprlist(X) COMMA expr(Y) RP. {
   ExprList *pList = sqlite3ExprListAppend(pParse, X, Y);
   A = sqlite3PExpr(pParse, TK_VECTOR, 0, 0);
@@ -1693,3 +1597,104 @@ wqlist(A) ::= wqlist(A) COMMA nm(X) eidlist_opt(Y) AS LP select(Z) RP. {
   A = sqlite3WithAdd(pParse, A, &X, Y, Z);
 }
 %endif  SQLITE_OMIT_CTE
+
+//////////////////////// WINDOW FUNCTION EXPRESSIONS /////////////////////////
+// These must be at the end of this file. Specifically, the windowdefn_opt
+// rule must be the very last in the file. This causes the integer value
+// assigned to the TK_WINDOW token to be larger than all other tokens that
+// may be output by the tokenizer except TK_SPACE and TK_ILLEGAL.
+//
+%ifndef SQLITE_OMIT_WINDOWFUNC
+%type windowdefn_list {Window*}
+%destructor windowdefn_list {sqlite3WindowDelete(pParse->db, $$);}
+windowdefn_list(A) ::= windowdefn(Z). { A = Z; }
+windowdefn_list(A) ::= windowdefn_list(Y) COMMA windowdefn(Z). {
+  if( Z ) Z->pNextWin = Y;
+  A = Z;
+}
+
+%type windowdefn {Window*}
+%destructor windowdefn {sqlite3WindowDelete(pParse->db, $$);}
+windowdefn(A) ::= nm(X) AS window(Y). {
+  if( Y ){
+    Y->zName = sqlite3DbStrNDup(pParse->db, X.z, X.n);
+  }
+  A = Y;
+}
+
+%type over_opt {Window*}
+%destructor over_opt {sqlite3WindowDelete(pParse->db, $$);}
+
+%type window {Window*}
+%destructor window {sqlite3WindowDelete(pParse->db, $$);}
+
+%type frame_opt {Window*}
+%destructor frame_opt {sqlite3WindowDelete(pParse->db, $$);}
+
+%type window_or_nm {Window*}
+%destructor window_or_nm {
+sqlite3WindowDelete(pParse->db, $$);}
+
+%type part_opt {ExprList*}
+%destructor part_opt {sqlite3ExprListDelete(pParse->db, $$);}
+
+%type filter_opt {Expr*}
+%destructor filter_opt {sqlite3ExprDelete(pParse->db, $$);}
+
+%type range_or_rows {int}
+
+%type frame_bound {struct FrameBound}
+%destructor frame_bound {sqlite3ExprDelete(pParse->db, $$.pExpr);}
+
+over_opt(A) ::= . { A = 0; }
+over_opt(A) ::= filter_opt(W) OVER window_or_nm(Z). {
+  A = Z;
+  if( A ) A->pFilter = W;
+}
+
+window_or_nm(A) ::= window(Z). {A = Z;}
+window_or_nm(A) ::= nm(Z). {
+  A = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
+  if( A ){
+    A->zName = sqlite3DbStrNDup(pParse->db, Z.z, Z.n);
+  }
+}
+
+window(A) ::= LP part_opt(X) orderby_opt(Y) frame_opt(Z) RP. {
+  A = Z;
+  if( A ){
+    A->pPartition = X;
+    A->pOrderBy = Y;
+  }
+}
+
+part_opt(A) ::= PARTITION BY exprlist(X). { A = X; }
+part_opt(A) ::= .                         { A = 0; }
+filter_opt(A) ::= .                            { A = 0; }
+filter_opt(A) ::= FILTER LP WHERE expr(X) RP.  { A = X; }
+
+frame_opt(A) ::= .                             { 
+  A = sqlite3WindowAlloc(pParse, TK_RANGE, TK_UNBOUNDED, 0, TK_CURRENT, 0);
+}
+frame_opt(A) ::= range_or_rows(X) frame_bound(Y). { 
+  A = sqlite3WindowAlloc(pParse, X, Y.eType, Y.pExpr, TK_CURRENT, 0);
+}
+frame_opt(A) ::= range_or_rows(X) BETWEEN frame_bound(Y) AND frame_bound(Z). { 
+  A = sqlite3WindowAlloc(pParse, X, Y.eType, Y.pExpr, Z.eType, Z.pExpr);
+}
+
+range_or_rows(A) ::= RANGE.   { A = TK_RANGE; }
+range_or_rows(A) ::= ROWS.    { A = TK_ROWS;  }
+
+frame_bound(A) ::= UNBOUNDED PRECEDING. { A.eType = TK_UNBOUNDED; A.pExpr = 0; }
+frame_bound(A) ::= expr(X) PRECEDING.   { A.eType = TK_PRECEDING; A.pExpr = X; }
+frame_bound(A) ::= CURRENT ROW.         { A.eType = TK_CURRENT  ; A.pExpr = 0; }
+frame_bound(A) ::= expr(X) FOLLOWING.   { A.eType = TK_FOLLOWING; A.pExpr = X; }
+frame_bound(A) ::= UNBOUNDED FOLLOWING. { A.eType = TK_UNBOUNDED; A.pExpr = 0; }
+
+%type windowdefn_opt {Window*}
+%destructor windowdefn_opt {sqlite3WindowDelete(pParse->db, $$);}
+windowdefn_opt(A) ::= . { A = 0; }
+windowdefn_opt(A) ::= WINDOW windowdefn_list(B). { A = B; }
+%endif // SQLITE_OMIT_WINDOWFUNC
+
diff --git a/src/resolve.c b/src/resolve.c
index 60453c17a0..b6389eba6d 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -798,7 +798,11 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
         pNC->nErr++;
       }
       if( is_agg ){
+#ifndef SQLITE_OMIT_WINDOWFUNC
         pNC->ncFlags &= ~(pExpr->pWin ? NC_AllowWin : NC_AllowAgg);
+#else
+        pNC->ncFlags &= ~NC_AllowAgg;
+#endif
       }
       sqlite3WalkExprList(pWalker, pList);
       if( is_agg ){
diff --git a/src/tokenize.c b/src/tokenize.c
index c9f586a7cb..72f160d59b 100644
--- a/src/tokenize.c
+++ b/src/tokenize.c
@@ -188,6 +188,7 @@ const char sqlite3IsEbcdicIdChar[] = {
 int sqlite3IsIdChar(u8 c){ return IdChar(c); }
 #endif
 
+#ifndef SQLITE_OMIT_WINDOWFUNC
 /*
 ** Return the id of the next token in string (*pz). Before returning, set
 ** (*pz) to point to the byte following the parsed token.
@@ -207,7 +208,9 @@ static int windowGetToken(const unsigned char **pz){
   *pz = z;
   return ret;
 }
+#endif // SQLITE_OMIT_WINDOWFUNC
 
+#ifndef SQLITE_OMIT_WINDOWFUNC
 /*
 ** The tokenizer has just parsed the keyword WINDOW. In this case the token
 ** may really be the keyword (TK_WINDOW), or may be an identifier (TK_ID).
@@ -238,6 +241,7 @@ static int analyzeWindowKeyword(const unsigned char *z){
   }
   return ret;
 }
+#endif // SQLITE_OMIT_WINDOWFUNC
 
 /*
 ** Return the length (in bytes) of the token that begins at z[0]. 
@@ -565,8 +569,15 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
       pParse->rc = SQLITE_TOOBIG;
       break;
     }
+#ifndef SQLITE_OMIT_WINDOWFUNC
+    if( tokenType>=TK_WINDOW ){
+      assert( tokenType==TK_SPACE 
+           || tokenType==TK_ILLEGAL || tokenType==TK_WINDOW 
+      );
+#else
     if( tokenType>=TK_SPACE ){
       assert( tokenType==TK_SPACE || tokenType==TK_ILLEGAL );
+#endif // SQLITE_OMIT_WINDOWFUNC
       if( db->u1.isInterrupted ){
         pParse->rc = SQLITE_INTERRUPT;
         break;
@@ -586,14 +597,15 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
           tokenType = TK_SEMI;
         }
         n = 0;
+#ifndef SQLITE_OMIT_WINDOWFUNC
+      }else if( tokenType==TK_WINDOW ){
+        tokenType = analyzeWindowKeyword((const u8*)&zSql[6]);
+#endif // SQLITE_OMIT_WINDOWFUNC
       }else{
         sqlite3ErrorMsg(pParse, "unrecognized token: \"%.*s\"", n, zSql);
         break;
       }
     }
-    else if( tokenType==TK_WINDOW ){
-      tokenType = analyzeWindowKeyword((const u8*)&zSql[6]);
-    }
     pParse->sLastToken.z = zSql;
     pParse->sLastToken.n = n;
     sqlite3Parser(pEngine, tokenType, pParse->sLastToken);

From 6e2210e0a161a7d29e1ad066265de51efcb9cd64 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 30 Jun 2018 18:54:56 +0000
Subject: [PATCH 107/154] Have the tokenizer handle fallback for tokens "OVER"
 and "FILTER" in the same way as it does for "WINDOW".

FossilOrigin-Name: 12d819e1c17d8036900352b0989c4bfcbc34193c3735bb9af7ab051f0f129d3d
---
 manifest          |  17 ++++----
 manifest.uuid     |   2 +-
 src/parse.y       |  33 ++++++++-------
 src/tokenize.c    | 101 +++++++++++++++++++++++++++++-----------------
 test/window6.test |  58 ++++++++++++++++++--------
 5 files changed, 133 insertions(+), 78 deletions(-)

diff --git a/manifest b/manifest
index a487454ad8..ae9a219479 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Further\sperformance\srelated\stweaks\sfor\ssqlite3RunParser().
-D 2018-06-29T20:43:33.493
+C Have\sthe\stokenizer\shandle\sfallback\sfor\stokens\s"OVER"\sand\s"FILTER"\sin\sthe\ssame\nway\sas\sit\sdoes\sfor\s"WINDOW".
+D 2018-06-30T18:54:56.070
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 5a53ee98a8bc76c526ae9b4a05cc4912f6b7b2e2a601a8fccc38b7b3b7830f97
+F src/parse.y 9b57f1d0d3d7578ab2917e07ff5d8def4b0aac571113dd7b7cb8108e7194d025
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -558,7 +558,7 @@ F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a9
 F src/test_window.c add59ee68568868129516999f30a68e8ab2afd276e272aba4f633c9fc52c1bb1
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
-F src/tokenize.c a9b97ce736f958390e51ed9f03a152403a2b77d54e6d5729f1ee1f365878d507
+F src/tokenize.c 0e3e0462f7da08bf95b3da1dca4c01cd2c3ca1d988ed0f9d2f66334a975e4020
 F src/treeview.c 2c5c4bc0a443401db5fd621542150452ddf5055d38edd4eef868bc2b6bfb0260
 F src/trigger.c 4ace6d1d5ba9a89822deb287317f33c810440526eafe185c2d8a48c31df1e995
 F src/update.c 46dc24c6158446aaab45caee09b6d99327cb479268b83ffeb5b701823da3b67b
@@ -1626,7 +1626,7 @@ F test/window3.test 47884c240d0d5234ad9c6da65452cfec1bfa69ec6f9c4158cd9750c3d88d
 F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
 F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
 F test/window5.test a4835b96d30eb3b81a1dbc683e333e57a614645eb6f2ae476a7ed2addf0b0f1f
-F test/window6.test 97bd18d5cccd612b8a93be4017a7a26c2968a1c868a458d0d66d8d8cc62e33f8
+F test/window6.test fb4e464993630c3d6023e906aa6705667062600a8341085b7fd8c201f4c2f411
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1744,7 +1744,8 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P eef61ffab7fa36b126f57bf7028dd35c67ed4617c47145be059f91e58023b0a4
-R 6ded36ebdbd58ad68c3d8e5fd0ba8d3c
+P 5eb4776598f5bba7ef21a2c58c03105544da73d642d7ffc146f84eff1993d71e
+R 020addcbc17f30026d883f2e135b0a63
+T +closed a3e9e62c6cafac5b5f103edcff77085b463085fca60c515aa16723c3d0006d44
 U dan
-Z d818b642c548723f779df4a6cae08814
+Z f871d44af5dded308446b721ea515004
diff --git a/manifest.uuid b/manifest.uuid
index afa47307eb..01c135be3b 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-5eb4776598f5bba7ef21a2c58c03105544da73d642d7ffc146f84eff1993d71e
\ No newline at end of file
+12d819e1c17d8036900352b0989c4bfcbc34193c3735bb9af7ab051f0f129d3d
\ No newline at end of file
diff --git a/src/parse.y b/src/parse.y
index 5097314329..42efe6fb6f 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -217,8 +217,7 @@ columnname(A) ::= nm(A) typetoken(Y). {sqlite3AddColumn(pParse,&A,&Y);}
   EXCEPT INTERSECT UNION
 %endif SQLITE_OMIT_COMPOUND_SELECT
 %ifndef SQLITE_OMIT_WINDOWFUNC
-  CURRENT FILTER FOLLOWING OVER PARTITION
-  PRECEDING RANGE UNBOUNDED
+  CURRENT FOLLOWING PARTITION PRECEDING RANGE UNBOUNDED
 %endif SQLITE_OMIT_WINDOWFUNC
   REINDEX RENAME CTIME_KW IF
   .
@@ -1599,10 +1598,10 @@ wqlist(A) ::= wqlist(A) COMMA nm(X) eidlist_opt(Y) AS LP select(Z) RP. {
 %endif  SQLITE_OMIT_CTE
 
 //////////////////////// WINDOW FUNCTION EXPRESSIONS /////////////////////////
-// These must be at the end of this file. Specifically, the windowdefn_opt
-// rule must be the very last in the file. This causes the integer value
-// assigned to the TK_WINDOW token to be larger than all other tokens that
-// may be output by the tokenizer except TK_SPACE and TK_ILLEGAL.
+// These must be at the end of this file. Specifically, the rules that
+// introduce tokens WINDOW, OVER and FILTER must appear last. This causes 
+// the integer values assigned to these tokens to be larger than all other 
+// tokens that may be output by the tokenizer except TK_SPACE and TK_ILLEGAL.
 //
 %ifndef SQLITE_OMIT_WINDOWFUNC
 %type windowdefn_list {Window*}
@@ -1622,9 +1621,6 @@ windowdefn(A) ::= nm(X) AS window(Y). {
   A = Y;
 }
 
-%type over_opt {Window*}
-%destructor over_opt {sqlite3WindowDelete(pParse->db, $$);}
-
 %type window {Window*}
 %destructor window {sqlite3WindowDelete(pParse->db, $$);}
 
@@ -1646,12 +1642,6 @@ sqlite3WindowDelete(pParse->db, $$);}
 %type frame_bound {struct FrameBound}
 %destructor frame_bound {sqlite3ExprDelete(pParse->db, $$.pExpr);}
 
-over_opt(A) ::= . { A = 0; }
-over_opt(A) ::= filter_opt(W) OVER window_or_nm(Z). {
-  A = Z;
-  if( A ) A->pFilter = W;
-}
-
 window_or_nm(A) ::= window(Z). {A = Z;}
 window_or_nm(A) ::= nm(Z). {
   A = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
@@ -1670,8 +1660,6 @@ window(A) ::= LP part_opt(X) orderby_opt(Y) frame_opt(Z) RP. {
 
 part_opt(A) ::= PARTITION BY exprlist(X). { A = X; }
 part_opt(A) ::= .                         { A = 0; }
-filter_opt(A) ::= .                            { A = 0; }
-filter_opt(A) ::= FILTER LP WHERE expr(X) RP.  { A = X; }
 
 frame_opt(A) ::= .                             { 
   A = sqlite3WindowAlloc(pParse, TK_RANGE, TK_UNBOUNDED, 0, TK_CURRENT, 0);
@@ -1696,5 +1684,16 @@ frame_bound(A) ::= UNBOUNDED FOLLOWING. { A.eType = TK_UNBOUNDED; A.pExpr = 0; }
 %destructor windowdefn_opt {sqlite3WindowDelete(pParse->db, $$);}
 windowdefn_opt(A) ::= . { A = 0; }
 windowdefn_opt(A) ::= WINDOW windowdefn_list(B). { A = B; }
+
+%type over_opt {Window*}
+%destructor over_opt {sqlite3WindowDelete(pParse->db, $$);}
+over_opt(A) ::= . { A = 0; }
+over_opt(A) ::= filter_opt(W) OVER window_or_nm(Z). {
+  A = Z;
+  if( A ) A->pFilter = W;
+}
+
+filter_opt(A) ::= .                            { A = 0; }
+filter_opt(A) ::= FILTER LP WHERE expr(X) RP.  { A = X; }
 %endif // SQLITE_OMIT_WINDOWFUNC
 
diff --git a/src/tokenize.c b/src/tokenize.c
index 72f160d59b..15678ed698 100644
--- a/src/tokenize.c
+++ b/src/tokenize.c
@@ -192,54 +192,76 @@ int sqlite3IsIdChar(u8 c){ return IdChar(c); }
 /*
 ** Return the id of the next token in string (*pz). Before returning, set
 ** (*pz) to point to the byte following the parsed token.
-**
-** This function assumes that any keywords that start with "w" are 
-** actually TK_ID.
 */
-static int windowGetToken(const unsigned char **pz){
-  int ret;
+static int getToken(const unsigned char **pz){
   const unsigned char *z = *pz;
-  if( z[0]=='w' || z[0]=='W' ){
-    do { z++; }while( IdChar(z[0]) );
-    ret = TK_ID;
-  }else{
-    z += sqlite3GetToken(z, &ret);
+  int t;                          /* Token type to return */
+  do {
+    z += sqlite3GetToken(z, &t);
+  }while( t==TK_SPACE );
+  if( t==TK_ID 
+   || t==TK_STRING 
+   || t==TK_JOIN_KW 
+   || t==TK_WINDOW 
+   || t==TK_OVER 
+   || sqlite3ParserFallback(t)==TK_ID 
+  ){
+    t = TK_ID;
   }
   *pz = z;
-  return ret;
+  return t;
 }
-#endif // SQLITE_OMIT_WINDOWFUNC
 
-#ifndef SQLITE_OMIT_WINDOWFUNC
 /*
-** The tokenizer has just parsed the keyword WINDOW. In this case the token
-** may really be the keyword (TK_WINDOW), or may be an identifier (TK_ID).
-** This function determines which it is by inspecting the next two tokens
-** in the input stream. Specifically, the token is TK_WINDOW if the following
-** two tokens are:
+** The following three functions are called immediately after the tokenizer
+** reads the keywords WINDOW, OVER and FILTER, respectively, to determine
+** whether the token should be treated as a keyword or an SQL identifier.
+** This cannot be handled by the usual lemon %fallback method, due to
+** the ambiguity in some constructions. e.g.
 **
-**   * TK_ID, or something else that can be used as a window name, and
-**   * TK_AS.
+**   SELECT sum(x) OVER ...
 **
-** Instead of using sqlite3GetToken() to parse tokens directly, this function
-** uses windowGetToken(). This is to avoid recursion if the input is similar
-** to "window window window window".
+** In the above, "OVER" might be a keyword, or it might be an alias for the 
+** sum(x) expression. If a "%fallback ID OVER" directive were added to 
+** grammar, then SQLite would always treat "OVER" as an alias, making it
+** impossible to call a window-function without a FILTER clause.
+**
+** WINDOW is treated as a keyword if:
+**
+**   * the following token is an identifier, or a keyword that can fallback
+**     to being an identifier, and
+**   * the token after than one is TK_AS.
+**
+** OVER is a keyword if:
+**
+**   * the previous token was TK_RP, and
+**   * the next token is either TK_LP or an identifier.
+**
+** FILTER is a keyword if:
+**
+**   * the previous token was TK_RP, and
+**   * the next token is TK_LP.
 */
 static int analyzeWindowKeyword(const unsigned char *z){
   int t;
-  int ret = TK_WINDOW;
-  while( (t = windowGetToken(&z))==TK_SPACE );
-  if( t!=TK_ID && t!=TK_STRING 
-   && t!=TK_JOIN_KW && sqlite3ParserFallback(t)!=TK_ID 
-  ){
-    ret = TK_ID;
-  }else{
-    while( (t = windowGetToken(&z))==TK_SPACE );
-    if( t!=TK_AS ){
-      ret = TK_ID;
-    }
+  t = getToken(&z);
+  if( t!=TK_ID ) return TK_ID;
+  t = getToken(&z);
+  if( t!=TK_AS ) return TK_ID;
+  return TK_WINDOW;
+}
+static int analyzeOverKeyword(const unsigned char *z, int lastToken){
+  if( lastToken==TK_RP ){
+    int t = getToken(&z);
+    if( t==TK_LP || t==TK_ID ) return TK_OVER;
   }
-  return ret;
+  return TK_ID;
+}
+static int analyzeFilterKeyword(const unsigned char *z, int lastToken){
+  if( lastToken==TK_RP && getToken(&z)==TK_LP ){
+    return TK_FILTER;
+  }
+  return TK_ID;
 }
 #endif // SQLITE_OMIT_WINDOWFUNC
 
@@ -571,7 +593,7 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
     }
 #ifndef SQLITE_OMIT_WINDOWFUNC
     if( tokenType>=TK_WINDOW ){
-      assert( tokenType==TK_SPACE 
+      assert( tokenType==TK_SPACE || tokenType==TK_OVER || tokenType==TK_FILTER
            || tokenType==TK_ILLEGAL || tokenType==TK_WINDOW 
       );
 #else
@@ -599,7 +621,14 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
         n = 0;
 #ifndef SQLITE_OMIT_WINDOWFUNC
       }else if( tokenType==TK_WINDOW ){
+        assert( n==6 );
         tokenType = analyzeWindowKeyword((const u8*)&zSql[6]);
+      }else if( tokenType==TK_OVER ){
+        assert( n==4 );
+        tokenType = analyzeOverKeyword((const u8*)&zSql[4], lastTokenParsed);
+      }else if( tokenType==TK_FILTER ){
+        assert( n==6 );
+        tokenType = analyzeFilterKeyword((const u8*)&zSql[6], lastTokenParsed);
 #endif // SQLITE_OMIT_WINDOWFUNC
       }else{
         sqlite3ErrorMsg(pParse, "unrecognized token: \"%.*s\"", n, zSql);
diff --git a/test/window6.test b/test/window6.test
index a6706fc521..69b597077e 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -22,7 +22,7 @@ ifcapable !windowfunc {
 }
 
 set setup {
-  CREATE TABLE %t1(%a, %b %typename);
+  CREATE TABLE %t1(%x, %y %typename);
   INSERT INTO %t1 VALUES(1, 'a');
   INSERT INTO %t1 VALUES(2, 'b');
   INSERT INTO %t1 VALUES(3, 'c');
@@ -33,28 +33,28 @@ set setup {
 foreach {tn vars} {
   1 {}
   2 { set A(%t1) over }
-  3 { set A(%a)  over }
+  3 { set A(%x)  over }
   4 { 
     set A(%alias)   over 
-    set A(%a)       following 
-    set A(%b)       over 
+    set A(%x)       following 
+    set A(%y)       over 
   }
   5 { 
-    set A(%t1)      over 
-    set A(%a)       following 
-    set A(%b)       preceding 
+    set A(%t1)      over
+    set A(%x)       following 
+    set A(%y)       preceding 
     set A(%w)       current 
-    set A(%alias)   filter 
-    set A(%typename)  window 
+    set A(%alias)   filter
+    set A(%typename)  window
   }
 
   6 { 
-    set A(%a)       window 
+    set A(%x)       window 
   }
 } {
   set A(%t1)    t1
-  set A(%a)     a
-  set A(%b)     b
+  set A(%x)     x
+  set A(%y)     y
   set A(%w)     w
   set A(%alias) alias
   set A(%typename) integer
@@ -66,19 +66,19 @@ foreach {tn vars} {
   execsql $setup_sql
 
   do_execsql_test 1.$tn.1 [string map $MAP {
-    SELECT group_concat(%a, '.') OVER (ORDER BY %b) FROM %t1
+    SELECT group_concat(%x, '.') OVER (ORDER BY %y) FROM %t1
   }] {1 1.2 1.2.3 1.2.3.4 1.2.3.4.5}
 
   do_execsql_test 1.$tn.2 [string map $MAP {
-    SELECT sum(%a) OVER %w FROM %t1 WINDOW %w AS (ORDER BY %b)
+    SELECT sum(%x) OVER %w FROM %t1 WINDOW %w AS (ORDER BY %y)
   }] {1 3 6 10 15}
 
   do_execsql_test 1.$tn.3 [string map $MAP {
-    SELECT sum(%alias.%a) OVER %w FROM %t1 %alias WINDOW %w AS (ORDER BY %b)
+    SELECT sum(%alias.%x) OVER %w FROM %t1 %alias WINDOW %w AS (ORDER BY %y)
   }] {1 3 6 10 15}
 
   do_execsql_test 1.$tn.4 [string map $MAP {
-    SELECT sum(%a) %alias FROM %t1
+    SELECT sum(%x) %alias FROM %t1
   }] {15}
 }
 
@@ -112,6 +112,32 @@ do_execsql_test 4.1 {
   SELECT * FROM t4 window, t4;
 }
 
+#-------------------------------------------------------------------------
+reset_db
+
+do_execsql_test 5.0 {
+  CREATE TABLE over(x, over);
+  CREATE TABLE window(x, window);
+  INSERT INTO over VALUES(1, 2), (3, 4), (5, 6);
+  INSERT INTO window VALUES(1, 2), (3, 4), (5, 6);
+  SELECT sum(x) over FROM over
+} {9}
+
+do_execsql_test 5.1 {
+  SELECT sum(x) over over FROM over WINDOW over AS ()
+} {9 9 9}
+
+do_execsql_test 5.2 {
+  SELECT sum(over) over over over FROM over over WINDOW over AS (ORDER BY over)
+} {2 6 12}
+
+do_execsql_test 5.3 {
+  SELECT sum(over) over over over FROM over over WINDOW over AS (ORDER BY over);
+} {2 6 12}
+
+do_execsql_test 5.4 {
+  SELECT sum(window) OVER window window FROM window window window window AS (ORDER BY window);
+} {2 6 12}
 
 finish_test
 

From 2b5f1526014a5ab1fea8c1a9badd9025d193d402 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 30 Jun 2018 20:00:35 +0000
Subject: [PATCH 108/154] Fix a minor problem in the code for determining
 whether or not an SQL statement is SQLITE_TOOBIG.

FossilOrigin-Name: 763e6c9e2bbc0a6ef8d8361069bf7160790c9064f24f0e336b7ed85668735da9
---
 manifest       | 14 +++++++-------
 manifest.uuid  |  2 +-
 src/alter.c    |  4 ++--
 src/tokenize.c |  7 ++++++-
 4 files changed, 16 insertions(+), 11 deletions(-)

diff --git a/manifest b/manifest
index 324b263409..ba53e9c7cf 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\sall\schanges\sfrom\sthe\sweak-fallback\sbranch\sexcept\sthose\srelated\sto\sthe\nweak-fallback\sfeature\sitself.
-D 2018-06-30T19:12:36.648
+C Fix\sa\sminor\sproblem\sin\sthe\scode\sfor\sdetermining\swhether\sor\snot\san\sSQL\nstatement\sis\sSQLITE_TOOBIG.
+D 2018-06-30T20:00:35.632
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -429,7 +429,7 @@ F spec.template 86a4a43b99ebb3e75e6b9a735d5fd293a24e90ca
 F sqlite.pc.in 42b7bf0d02e08b9e77734a47798d1a55a9e0716b
 F sqlite3.1 fc7ad8990fc8409983309bb80de8c811a7506786
 F sqlite3.pc.in 48fed132e7cb71ab676105d2a4dc77127d8c1f3a
-F src/alter.c 819b14b58e71565f8da505a9c1d5d9d904605f85cd64179cf9c7d1edcdad6c25
+F src/alter.c 6beb476095a4cfeb95ebedb2e5e17894d1687b24fddd5b8761a4de120e0392c6
 F src/analyze.c 41f0b8d638fc2a7309477904ac38e535f2aabea3256da3251e529730e099df77
 F src/attach.c 4bd5b92633671d3e8ce431153ebb1893b50335818423b5373f3f27969f79769a
 F src/auth.c a38f3c63c974787ecf75e3213f8cac6568b9a7af7591fb0372ec0517dd16dca8
@@ -558,7 +558,7 @@ F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a9
 F src/test_window.c add59ee68568868129516999f30a68e8ab2afd276e272aba4f633c9fc52c1bb1
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
-F src/tokenize.c 0e3e0462f7da08bf95b3da1dca4c01cd2c3ca1d988ed0f9d2f66334a975e4020
+F src/tokenize.c e0a90f3d594e3db842581543abf157c8e63617655c91ad35d77e339a1bc36ce0
 F src/treeview.c 2c5c4bc0a443401db5fd621542150452ddf5055d38edd4eef868bc2b6bfb0260
 F src/trigger.c 4ace6d1d5ba9a89822deb287317f33c810440526eafe185c2d8a48c31df1e995
 F src/update.c 46dc24c6158446aaab45caee09b6d99327cb479268b83ffeb5b701823da3b67b
@@ -1744,7 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 4383cb68a1241768ddb3f180f8cbb9ea1638f8806210b10aac1384b8a7ecdca2 12d819e1c17d8036900352b0989c4bfcbc34193c3735bb9af7ab051f0f129d3d
-R 545d939ac542e77e69d38cfd02ddd127
+P aad718fb1afacf1c921966796ab1e149207c31b16409c5672f0371f4fb9d6565
+R 6cfae24b0260985fdb1b9447231b1548
 U dan
-Z 6125a1e4d6297855bc74fb4c9cdd182a
+Z 6c2f201187f4c45767b497733a8a927a
diff --git a/manifest.uuid b/manifest.uuid
index ffa676ba77..dbcc3eacf6 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-aad718fb1afacf1c921966796ab1e149207c31b16409c5672f0371f4fb9d6565
\ No newline at end of file
+763e6c9e2bbc0a6ef8d8361069bf7160790c9064f24f0e336b7ed85668735da9
\ No newline at end of file
diff --git a/src/alter.c b/src/alter.c
index f338e8bf44..2d7a5d6598 100644
--- a/src/alter.c
+++ b/src/alter.c
@@ -74,7 +74,7 @@ static void renameTableFunc(
         zCsr += len;
         len = sqlite3GetToken(zCsr, &token);
       } while( token==TK_SPACE );
-      assert( len>0 );
+      assert( len>0 || !*zCsr );
     } while( token!=TK_LP && token!=TK_USING );
 
     zRet = sqlite3MPrintf(db, "%.*s\"%w\"%s", (int)(((u8*)tname.z) - zSql),
@@ -198,7 +198,7 @@ static void renameTriggerFunc(
         zCsr += len;
         len = sqlite3GetToken(zCsr, &token);
       }while( token==TK_SPACE );
-      assert( len>0 );
+      assert( len>0 || !*zCsr );
 
       /* Variable 'dist' stores the number of tokens read since the most
       ** recent TK_DOT or TK_ON. This means that when a WHEN, FOR or BEGIN 
diff --git a/src/tokenize.c b/src/tokenize.c
index 15678ed698..fc5989cdde 100644
--- a/src/tokenize.c
+++ b/src/tokenize.c
@@ -54,11 +54,12 @@
 #define CC_TILDA     25    /* '~' */
 #define CC_DOT       26    /* '.' */
 #define CC_ILLEGAL   27    /* Illegal character */
+#define CC_NUL       28    /* 0x00 */
 
 static const unsigned char aiClass[] = {
 #ifdef SQLITE_ASCII
 /*         x0  x1  x2  x3  x4  x5  x6  x7  x8  x9  xa  xb  xc  xd  xe  xf */
-/* 0x */   27, 27, 27, 27, 27, 27, 27, 27, 27,  7,  7, 27,  7,  7, 27, 27,
+/* 0x */   28, 27, 27, 27, 27, 27, 27, 27, 27,  7,  7, 27,  7,  7, 27, 27,
 /* 1x */   27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
 /* 2x */    7, 15,  8,  5,  4, 22, 24,  8, 17, 18, 21, 20, 23, 11, 26, 16,
 /* 3x */    3,  3,  3,  3,  3,  3,  3,  3,  3,  3,  5, 19, 12, 14, 13,  6,
@@ -532,6 +533,10 @@ int sqlite3GetToken(const unsigned char *z, int *tokenType){
       i = 1;
       break;
     }
+    case CC_NUL: {
+      *tokenType = TK_ILLEGAL;
+      return 0;
+    }
     default: {
       *tokenType = TK_ILLEGAL;
       return 1;

From d2ac43ea388cd9396161d55f533a3154d73ca3f6 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 30 Jun 2018 20:26:52 +0000
Subject: [PATCH 109/154] Avoid a warning in fts5.c due to not using generated
 routine sqlite3Fts5ParserFallback().

FossilOrigin-Name: 65ff5144a55f1ba2b2ef812a0c988fa2522441177038b8d686eb1d0c558c75d5
---
 ext/fts5/fts5_expr.c |  5 ++++-
 manifest             | 13 ++++++-------
 manifest.uuid        |  2 +-
 3 files changed, 11 insertions(+), 9 deletions(-)

diff --git a/ext/fts5/fts5_expr.c b/ext/fts5/fts5_expr.c
index 03c3d703dd..c21d69d9ee 100644
--- a/ext/fts5/fts5_expr.c
+++ b/ext/fts5/fts5_expr.c
@@ -36,6 +36,7 @@ void sqlite3Fts5Parser(void*, int, Fts5Token, Fts5Parse*);
 #include <stdio.h>
 void sqlite3Fts5ParserTrace(FILE*, char*);
 #endif
+int sqlite3Fts5ParserFallback(int);
 
 
 struct Fts5Expr {
@@ -2591,10 +2592,12 @@ int sqlite3Fts5ExprInit(Fts5Global *pGlobal, sqlite3 *db){
     rc = sqlite3_create_function(db, p->z, -1, SQLITE_UTF8, pCtx, p->x, 0, 0);
   }
 
-  /* Avoid a warning indicating that sqlite3Fts5ParserTrace() is unused */
+  /* Avoid warnings indicating that sqlite3Fts5ParserTrace() and
+  ** sqlite3Fts5ParserFallback() are unused */
 #ifndef NDEBUG
   (void)sqlite3Fts5ParserTrace;
 #endif
+  (void)sqlite3Fts5ParserFallback;
 
   return rc;
 }
diff --git a/manifest b/manifest
index 00f96876f7..b0146233a3 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Merge\simplementation\sof\sSQL\swindow\sfunctions\sfrom\sthe\sexp-window-functions\ninto\strunk.
-D 2018-06-30T20:15:58.324
+C Avoid\sa\swarning\sin\sfts5.c\sdue\sto\snot\susing\sgenerated\sroutine\nsqlite3Fts5ParserFallback().
+D 2018-06-30T20:26:52.878
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -112,7 +112,7 @@ F ext/fts5/fts5Int.h eda28e3a0a5d87c412e8355fe35da875b04cb389908c8eb0d867ad662ad
 F ext/fts5/fts5_aux.c ca666a3bbe07c5a3bbe9fffaea19c935a1efaf337333e28bad7bdd1971ffd093
 F ext/fts5/fts5_buffer.c 1dd1ec0446b3acfc2d7d407eb894762a461613e2695273f48e449bfd13e973ff
 F ext/fts5/fts5_config.c 5af9c360e99669d29f06492c370892394aba0857
-F ext/fts5/fts5_expr.c c23a2e4c14c401a147c4a730460e5b37057627bf4be95515ee281cd87f4d277c
+F ext/fts5/fts5_expr.c 4ff82037692dcaf42ddf4f379a08815b4bd8784194a083994fec51eef31ef2dd
 F ext/fts5/fts5_hash.c 32be400cf761868c9db33efe81a06eb19a17c5402ad477ee9efb51301546dd55
 F ext/fts5/fts5_index.c 22b71d0e9e4b3ddd123a39ae27174e0012da2806f91b64087a68584f13f189de
 F ext/fts5/fts5_main.c da46761a7e9b582083fcb9f5a3ee50086205fb91f4e68d984a9946e64218e297
@@ -1744,8 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P fea7ade649ae72303078782f7bc510e0a17f082ffde10e769f1aeb1cf37b5554 763e6c9e2bbc0a6ef8d8361069bf7160790c9064f24f0e336b7ed85668735da9
-R 6cfae24b0260985fdb1b9447231b1548
-T +closed 763e6c9e2bbc0a6ef8d8361069bf7160790c9064f24f0e336b7ed85668735da9
+P 17198a1206e2fbc9e555881468e8c6980b00e25b5b78a6798a6264ca7384f1ca
+R ebb046d75f3c51ba97ee728039ef9b02
 U dan
-Z 1885d8ec849367bf64a9296ff8188f0c
+Z 8fbb7dd79d8c07df0e6632e04176732a
diff --git a/manifest.uuid b/manifest.uuid
index a3e35e1d10..4801fda84b 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-17198a1206e2fbc9e555881468e8c6980b00e25b5b78a6798a6264ca7384f1ca
\ No newline at end of file
+65ff5144a55f1ba2b2ef812a0c988fa2522441177038b8d686eb1d0c558c75d5
\ No newline at end of file

From 9f607e9c231dafcd64602fd9deee48a37ff27c07 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sun, 1 Jul 2018 16:05:40 +0000
Subject: [PATCH 110/154] Quick patch to the Lemon parser template to avoid an
 array overread reported by OSSFuzz.  A proper fix involves enhancements to
 the table generators in Lemon to make the overread impossible.  That fix will
 take longer to implement.  The current check-in is a stop-gap.

FossilOrigin-Name: 3f6730be4cb712a28401be6d96e56ccb3f2e98dd8961b477befec3f363715178
---
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 tool/lempar.c |  1 +
 3 files changed, 9 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index b0146233a3..8e9fbfd62c 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Avoid\sa\swarning\sin\sfts5.c\sdue\sto\snot\susing\sgenerated\sroutine\nsqlite3Fts5ParserFallback().
-D 2018-06-30T20:26:52.878
+C Quick\spatch\sto\sthe\sLemon\sparser\stemplate\sto\savoid\san\sarray\soverread\sreported\nby\sOSSFuzz.\s\sA\sproper\sfix\sinvolves\senhancements\sto\sthe\stable\sgenerators\sin\nLemon\sto\smake\sthe\soverread\simpossible.\s\sThat\sfix\swill\stake\slonger\sto\nimplement.\s\sThe\scurrent\scheck-in\sis\sa\sstop-gap.
+D 2018-07-01T16:05:40.758
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -1664,7 +1664,7 @@ F tool/genfkey.test 4196a8928b78f51d54ef58e99e99401ab2f0a7e5
 F tool/getlock.c f4c39b651370156cae979501a7b156bdba50e7ce
 F tool/kvtest-speed.sh 4761a9c4b3530907562314d7757995787f7aef8f
 F tool/lemon.c 33892e2a243865f73e6c6e7cecce3c6eb4bb95db4a3d9d86d146c8064feb92fd
-F tool/lempar.c 6f64bc81160495f93d0f2ae27c787cb7cf4d5c7f5d2abf3823bc878ded6d6293
+F tool/lempar.c a6ebc2024f2d3ab90b93b4ea8bb39b4a320e7a4a4268e1fdef8ae45e8e714593
 F tool/libvers.c caafc3b689638a1d88d44bc5f526c2278760d9b9
 F tool/loadfts.c c3c64e4d5e90e8ba41159232c2189dba4be7b862
 F tool/logest.c 11346aa019e2e77a00902aa7d0cabd27bd2e8cca
@@ -1744,7 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 17198a1206e2fbc9e555881468e8c6980b00e25b5b78a6798a6264ca7384f1ca
-R ebb046d75f3c51ba97ee728039ef9b02
-U dan
-Z 8fbb7dd79d8c07df0e6632e04176732a
+P 65ff5144a55f1ba2b2ef812a0c988fa2522441177038b8d686eb1d0c558c75d5
+R 3c4f5fbed7f648d733dce0ff7eec4d29
+U drh
+Z d7489229aa03ad09a6b5a39009aab4a6
diff --git a/manifest.uuid b/manifest.uuid
index 4801fda84b..e5f644ca5e 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-65ff5144a55f1ba2b2ef812a0c988fa2522441177038b8d686eb1d0c558c75d5
\ No newline at end of file
+3f6730be4cb712a28401be6d96e56ccb3f2e98dd8961b477befec3f363715178
\ No newline at end of file
diff --git a/tool/lempar.c b/tool/lempar.c
index 450dcde4bc..e19aba4d20 100644
--- a/tool/lempar.c
+++ b/tool/lempar.c
@@ -550,6 +550,7 @@ static YYACTIONTYPE yy_find_shift_action(
 #if YY_SHIFT_MAX+YYWILDCARD>=YY_ACTTAB_COUNT
           j<YY_ACTTAB_COUNT &&
 #endif
+          j<sizeof(yy_lookahead)/sizeof(yy_lookahead[0]) &&
           yy_lookahead[j]==YYWILDCARD && iLookAhead>0
         ){
 #ifndef NDEBUG

From 7262ca94cb4308c74a504e949cdb6e3e5cc61610 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 2 Jul 2018 12:07:32 +0000
Subject: [PATCH 111/154] Fix a segfault caused by invoking a regular aggregate
 as a window-function. And some problems with count(*) when used as a
 window-function.

FossilOrigin-Name: 4f3c8a82fd1c5b14d84f2301e34cfc8d52fe4b3a60840c39e895c11f2da529d9
---
 manifest          |  28 +--
 manifest.uuid     |   2 +-
 src/func.c        |  23 ++-
 src/resolve.c     |   6 +-
 src/test_window.c |  27 +++
 src/window.c      |  18 +-
 test/window3.tcl  |  21 +-
 test/window3.test | 476 ++++++++++++++++++++++++++--------------------
 test/window5.test |  10 +
 test/window6.test |  14 ++
 10 files changed, 387 insertions(+), 238 deletions(-)

diff --git a/manifest b/manifest
index 8e9fbfd62c..653d0aa79c 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Quick\spatch\sto\sthe\sLemon\sparser\stemplate\sto\savoid\san\sarray\soverread\sreported\nby\sOSSFuzz.\s\sA\sproper\sfix\sinvolves\senhancements\sto\sthe\stable\sgenerators\sin\nLemon\sto\smake\sthe\soverread\simpossible.\s\sThat\sfix\swill\stake\slonger\sto\nimplement.\s\sThe\scurrent\scheck-in\sis\sa\sstop-gap.
-D 2018-07-01T16:05:40.758
+C Fix\sa\ssegfault\scaused\sby\sinvoking\sa\sregular\saggregate\sas\sa\swindow-function.\nAnd\ssome\sproblems\swith\scount(*)\swhen\sused\sas\sa\swindow-function.
+D 2018-07-02T12:07:32.352
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -450,7 +450,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c 7e257eeffe9553c10a6ac0a1f0177bf740c4da834e7d6e2cbb7d3ebaa3d7f3e1
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c d2c66d8ec930d53e9ecd0d6cbe210c1a70f0427bfc49624516fb97aae2f5cfe8
+F src/func.c 4d573e690757f29674db05d7b29c1a27886157fd2b71fcb94c68141c0eb52cfb
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -493,7 +493,7 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c e966ecc97c3671ff0e96227c8c877b83f2d33ea371ee190bbf1698b36b5605c0
 F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c d8359c59c683fc33324c3a0abe0d393304861f05dd2e0d47e5974a501bcf4682
+F src/resolve.c f2f5533afd25cef8fa9d01cfd1ae0ef1e62872a9c7080778099b220b223b3816
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 82aa95aa1cfeadef5ecae1126afff1efca64c49050bbf7116425a8a1d4fc5e6c
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
@@ -555,7 +555,7 @@ F src/test_vfs.c f0186261a24de2671d080bcd8050732f0cb64f6e
 F src/test_vfstrace.c bab9594adc976cbe696ff3970728830b4c5ed698
 F src/test_windirent.c a895e2c068a06644eef91a7f0a32182445a893b9a0f33d0cdb4283dca2486ac1
 F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a90484215
-F src/test_window.c add59ee68568868129516999f30a68e8ab2afd276e272aba4f633c9fc52c1bb1
+F src/test_window.c 0d19b33e7a262d3b55e85bc0fb84a70f503686cbd769939176162fe866ce7f9e
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
 F src/tokenize.c e0a90f3d594e3db842581543abf157c8e63617655c91ad35d77e339a1bc36ce0
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
-F src/window.c 4403ae36b9645f105ad8ae16d986929c6db5f3bc7d3d3db43f5fa51c6bbfcbe8
+F src/window.c 7df0313f9b21c904e51226b24c0203aa26be502202f469143bacc5e74ebc0d38
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1621,12 +1621,12 @@ F test/win32nolock.test ac4f08811a562e45a5755e661f45ca85892bdbbc
 F test/window1.test 7cb260079cd88d6d6177b0f592686f2bbbc2d10f4f415c8a37cd153eb83c87ca
 F test/window2.tcl 9bfa842d8a62b0d36dc8c1b5972206393c43847433c6d75940b87fec93ce3143
 F test/window2.test 8e6d2a1b9f54dfebee1cde961c8590cd87b4db45c50f44947a211e1b63c2a05e
-F test/window3.tcl 9b82055c8977bdcab164fb4f71dabf86c511c9010c44f958352b610d313182c3
-F test/window3.test 47884c240d0d5234ad9c6da65452cfec1bfa69ec6f9c4158cd9750c3d88d3a25
+F test/window3.tcl 577a3b1ff913208e5248c04dab9df17fd760ce159a752789e26d0cb4a5f91823
+F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c4b31
 F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
 F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
-F test/window5.test a4835b96d30eb3b81a1dbc683e333e57a614645eb6f2ae476a7ed2addf0b0f1f
-F test/window6.test fb4e464993630c3d6023e906aa6705667062600a8341085b7fd8c201f4c2f411
+F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
+F test/window6.test 28e9126e1c35b99dec7b0609f1a242cecca5d0291382bcb5f61f498973c2b047
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1744,7 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 65ff5144a55f1ba2b2ef812a0c988fa2522441177038b8d686eb1d0c558c75d5
-R 3c4f5fbed7f648d733dce0ff7eec4d29
-U drh
-Z d7489229aa03ad09a6b5a39009aab4a6
+P 3f6730be4cb712a28401be6d96e56ccb3f2e98dd8961b477befec3f363715178
+R 119ac682f2311f0cb1cd57d00a75572a
+U dan
+Z be71ee8fe3da4ce8850e5091c36fabce
diff --git a/manifest.uuid b/manifest.uuid
index e5f644ca5e..1a4a3f8d8a 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-3f6730be4cb712a28401be6d96e56ccb3f2e98dd8961b477befec3f363715178
\ No newline at end of file
+4f3c8a82fd1c5b14d84f2301e34cfc8d52fe4b3a60840c39e895c11f2da529d9
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index c5dd6a58e0..ff7c3049fa 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1572,6 +1572,9 @@ static void totalFinalize(sqlite3_context *context){
 typedef struct CountCtx CountCtx;
 struct CountCtx {
   i64 n;
+#ifdef SQLITE_DEBUG
+  int bInverse;                   /* True if xInverse() ever called */
+#endif
 };
 
 /*
@@ -1589,7 +1592,7 @@ static void countStep(sqlite3_context *context, int argc, sqlite3_value **argv){
   ** sure it still operates correctly, verify that its count agrees with our 
   ** internal count when using count(*) and when the total count can be
   ** expressed as a 32-bit integer. */
-  assert( argc==1 || p==0 || p->n>0x7fffffff
+  assert( argc==1 || p==0 || p->n>0x7fffffff || p->bInverse
           || p->n==sqlite3_aggregate_count(context) );
 #endif
 }   
@@ -1598,6 +1601,18 @@ static void countFinalize(sqlite3_context *context){
   p = sqlite3_aggregate_context(context, 0);
   sqlite3_result_int64(context, p ? p->n : 0);
 }
+#ifndef SQLITE_OMIT_WINDOWFUNC
+static void countInverse(sqlite3_context *ctx, int argc, sqlite3_value **argv){
+  CountCtx *p;
+  p = sqlite3_aggregate_context(ctx, sizeof(*p));
+  if( (argc==0 || SQLITE_NULL!=sqlite3_value_type(argv[0])) && p ){
+    p->n--;
+#ifdef SQLITE_DEBUG
+    p->bInverse = 1;
+#endif
+  }
+}   
+#endif
 
 /*
 ** Routines to implement min() and max() aggregate functions.
@@ -1943,8 +1958,10 @@ void sqlite3RegisterBuiltinFunctions(void){
     WAGGREGATE(sum,   1,0,0, sumStep, sumFinalize, sumFinalize, sumInverse, 0),
     WAGGREGATE(total, 1,0,0, sumStep,totalFinalize,totalFinalize,sumInverse, 0),
     WAGGREGATE(avg,   1,0,0, sumStep, avgFinalize, avgFinalize, sumInverse, 0),
-    AGGREGATE2(count, 0,0,0, countStep, countFinalize, SQLITE_FUNC_COUNT  ),
-    WAGGREGATE(count, 1,0,0, countStep, countFinalize, 0, 0, 0 ),
+    WAGGREGATE(count, 0,0,0, countStep, 
+        countFinalize, countFinalize, countInverse, SQLITE_FUNC_COUNT  ),
+    WAGGREGATE(count, 1,0,0, countStep, 
+        countFinalize, countFinalize, countInverse, 0  ),
     WAGGREGATE(group_concat, 1, 0, 0, groupConcatStep, 
         groupConcatFinalize, groupConcatValue, groupConcatInverse, 0),
     WAGGREGATE(group_concat, 2, 0, 0, groupConcatStep, 
diff --git a/src/resolve.c b/src/resolve.c
index b6389eba6d..7c1d4b1620 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -758,7 +758,11 @@ static int resolveExprStep(Walker *pWalker, Expr *pExpr){
       }
 
 #ifndef SQLITE_OMIT_WINDOWFUNC
-      if( is_agg==0 && pExpr->pWin ){
+      assert( is_agg==0 || (pDef->funcFlags & SQLITE_FUNC_MINMAX)
+          || (pDef->xValue==0 && pDef->xInverse==0)
+          || (pDef->xValue && pDef->xInverse && pDef->xSFunc && pDef->xFinalize)
+      );
+      if( pDef && pDef->xValue==0 && pExpr->pWin ){
         sqlite3ErrorMsg(pParse, 
             "%.*s() may not be used as a window function", nId, zId
         );
diff --git a/src/test_window.c b/src/test_window.c
index 576c58f6c7..1b43c27175 100644
--- a/src/test_window.c
+++ b/src/test_window.c
@@ -302,6 +302,32 @@ static int SQLITE_TCLAPI test_create_sumint(
   return TCL_OK;
 }
 
+static int SQLITE_TCLAPI test_override_sum(
+  void * clientData,
+  Tcl_Interp *interp,
+  int objc,
+  Tcl_Obj *CONST objv[]
+){
+  sqlite3 *db;
+  int rc;
+
+  if( objc!=2 ){
+    Tcl_WrongNumArgs(interp, 1, objv, "DB");
+    return TCL_ERROR;
+  }
+  if( getDbPointer(interp, Tcl_GetString(objv[1]), &db) ) return TCL_ERROR;
+
+  rc = sqlite3_create_function(db, "sum", -1, SQLITE_UTF8, 0,
+      0, sumintStep, sumintFinal
+  );
+
+  if( rc!=SQLITE_OK ){
+    Tcl_SetObjResult(interp, Tcl_NewStringObj(sqlite3ErrName(rc), -1));
+    return TCL_ERROR;
+  }
+  return TCL_OK;
+}
+
 int Sqlitetest_window_Init(Tcl_Interp *interp){
   static struct {
      char *zName;
@@ -311,6 +337,7 @@ int Sqlitetest_window_Init(Tcl_Interp *interp){
      { "sqlite3_create_window_function", test_create_window, 0 },
      { "test_create_window_function_misuse", test_create_window_misuse, 0 },
      { "test_create_sumint", test_create_sumint, 0 },
+     { "test_override_sum", test_override_sum, 0 },
   };
   int i;
   for(i=0; i<sizeof(aObjCmd)/sizeof(aObjCmd[0]); i++){
diff --git a/src/window.c b/src/window.c
index 7447719334..6cc9b7edd5 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1594,17 +1594,21 @@ static void windowCodeRowExprStep(
    || pMWin->eStart==TK_PRECEDING 
    || pMWin->eStart==TK_FOLLOWING 
   ){
-    int addrJumpHere = 0;
+    int lblSkipInverse = sqlite3VdbeMakeLabel(v);;
     if( pMWin->eStart==TK_PRECEDING ){
-      addrJumpHere = sqlite3VdbeAddOp3(v, OP_IfPos, regStart, 0 , 1);
+      sqlite3VdbeAddOp3(v, OP_IfPos, regStart, lblSkipInverse, 1);
       VdbeCoverage(v);
     }
-    sqlite3VdbeAddOp2(v, OP_Next, csrStart, sqlite3VdbeCurrentAddr(v)+1);
-    VdbeCoverage(v);
-    windowAggStep(pParse, pMWin, csrStart, 1, regArg, regSize);
-    if( addrJumpHere ){
-      sqlite3VdbeJumpHere(v, addrJumpHere);
+    if( pMWin->eStart==TK_FOLLOWING ){
+      sqlite3VdbeAddOp2(v, OP_Next, csrStart, sqlite3VdbeCurrentAddr(v)+2);
+      VdbeCoverage(v);
+      sqlite3VdbeAddOp2(v, OP_Goto, 0, lblSkipInverse);
+    }else{
+      sqlite3VdbeAddOp2(v, OP_Next, csrStart, sqlite3VdbeCurrentAddr(v)+1);
+      VdbeCoverage(v);
     }
+    windowAggStep(pParse, pMWin, csrStart, 1, regArg, regSize);
+    sqlite3VdbeResolveLabel(v, lblSkipInverse);
   }
   if( pMWin->eEnd==TK_FOLLOWING ){
     sqlite3VdbeJumpHere(v, addrIfPos1);
diff --git a/test/window3.tcl b/test/window3.tcl
index bfaaeeaef0..101244e2a4 100644
--- a/test/window3.tcl
+++ b/test/window3.tcl
@@ -308,24 +308,29 @@ foreach {tn window} {
   "
 
   execsql_test 1.$tn.15.1 "
-    SELECT string_agg(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a $window) FROM t2
+    SELECT count(*) OVER win, string_agg(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a $window)
   "
 
   execsql_test 1.$tn.15.2 "
-    SELECT string_agg(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a $window) FROM t2
+    SELECT count(*) OVER win, string_agg(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a $window)
   "
 
   execsql_test 1.$tn.15.3 "
-    SELECT string_agg(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a $window) FROM t2
+    SELECT count(*) OVER win, string_agg(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a $window)
   "
 
   execsql_test 1.$tn.15.4 "
-    SELECT string_agg(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a $window) FROM t2
+    SELECT count(*) OVER win, string_agg(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a $window)
   "
+
 }
 
 finish_test
diff --git a/test/window3.test b/test/window3.test
index 5d21e43a22..4e857c5ff6 100644
--- a/test/window3.test
+++ b/test/window3.test
@@ -431,24 +431,28 @@ do_execsql_test 1.1.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.1.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
-} {{}   74   74   74.74   74.74   74.74.99   74.74.99   74.74.99.33   74.74.99.33   74.74.99.33.89   74.74.99.33.89   74.74.99.33.89.96   74.74.99.33.89.96   74.74.99.33.89.96.38   74.74.99.33.89.96.38   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+} {1 {}   2 74   3 74   4 74.74   5 74.74   6 74.74.99   7 74.74.99   8 74.74.99.33   9 74.74.99.33   10 74.74.99.33.89   11 74.74.99.33.89   12 74.74.99.33.89.96   13 74.74.99.33.89.96   14 74.74.99.33.89.96.38   15 74.74.99.33.89.96.38   16 74.74.99.33.89.96.38.39   17 74.74.99.33.89.96.38.39   18 74.74.99.33.89.96.38.39.91   19 74.74.99.33.89.96.38.39.91   20 74.74.99.33.89.96.38.39.91.6   21 74.74.99.33.89.96.38.39.91.6   22 74.74.99.33.89.96.38.39.91.6.97   23 74.74.99.33.89.96.38.39.91.6.97   24 74.74.99.33.89.96.38.39.91.6.97.46   25 74.74.99.33.89.96.38.39.91.6.97.46   26 74.74.99.33.89.96.38.39.91.6.97.46.54   27 74.74.99.33.89.96.38.39.91.6.97.46.54   28 74.74.99.33.89.96.38.39.91.6.97.46.54.8   29 74.74.99.33.89.96.38.39.91.6.97.46.54.8   30 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   31 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   32 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   33 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   34 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   35 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   36 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   37 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   38 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   39 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   40 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   41 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   42 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   43 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   44 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   45 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   46 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   47 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   48 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   49 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   50 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   51 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   52 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   53 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   54 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   55 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   56 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   57 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   58 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   59 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   60 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   61 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   62 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   63 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   64 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   65 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   66 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   67 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   68 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   69 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   70 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   71 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   72 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   73 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   75 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   76 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   77 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   78 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   79 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   80 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   81 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   82 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   83 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   84 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   85 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   86 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   87 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   88 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   89 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   90 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   91 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   92 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   93 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   94 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   95 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   96 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   97 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   98 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   99 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   100 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   101 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   102 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   103 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   104 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   105 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   106 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   107 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   108 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   109 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   110 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   111 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   112 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   113 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   114 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   115 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   116 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   117 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   118 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   119 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   120 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73   121 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73   122 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88   123 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88   124 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8   125 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8   126 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49   127 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49   128 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90   129 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90   130 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96   131 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96   132 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55   133 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55   134 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77   135 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77   136 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2   137 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2   138 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85   139 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85   140 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74   141 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74   142 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70   143 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70   144 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19   145 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19   146 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26   147 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26   148 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47   149 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47   150 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90   151 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90   152 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58   153 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58   154 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9   155 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9   156 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72   157 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72   158 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33   159 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33   160 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75   161 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75   162 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81   163 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81   164 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   165 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   166 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   167 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   168 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   169 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   170 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   171 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   172 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   173 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   174 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   175 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   176 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   177 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   178 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   179 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   180 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   181 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   182 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   183 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   184 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   185 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   186 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   187 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   188 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   189 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   190 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   191 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   192 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   193 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   194 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   195 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   196 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   197 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   198 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   199 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
 
 do_execsql_test 1.1.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+} {1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   21 {}   22 {}   23 {}   24 {}   25 {}   26 {}   27 {}   28 {}   29 {}   30 {}   31 {}   32 {}   33 {}   34 {}   35 {}   36 {}   37 {}   38 {}   39 {}   40 {}   41 {}   42 {}   43 {}   44 {}   45 {}   46 {}   47 {}   48 {}   49 {}   50 {}   51 {}   52 {}   53 {}   54 {}   55 {}   56 {}   57 {}   58 {}   59 {}   60 {}   61 {}   62 {}   63 {}   64 {}   65 {}   66 {}   67 {}   68 {}   69 {}   70 {}   71 {}   72 {}   73 {}   74 {}   75 {}   76 {}   77 {}   78 {}   79 {}   80 {}   81 {}   82 {}   83 {}   84 {}   85 {}   86 {}   87 {}   88 {}   89 {}   90 {}   91 {}   92 {}   93 {}   94 {}   95 {}   96 {}   97 {}   98 {}   99 {}   100 {}   101 {}   102 {}   103 {}   104 {}   105 {}   106 {}   107 {}   108 {}   109 {}   110 {}   111 {}   112 {}   113 {}   114 {}   115 {}   116 {}   117 {}   118 {}   119 {}   120 {}   121 {}   122 {}   123 {}   124 {}   125 {}   126 {}   127 {}   128 {}   129 {}   130 {}   131 {}   132 {}   133 {}   134 {}   135 {}   136 {}   137 {}   138 {}   139 {}   140 {}   141 {}   142 {}   143 {}   144 {}   145 {}   146 {}   147 {}   148 {}   149 {}   150 {}   151 {}   152 {}   153 {}   154 {}   155 {}   156 {}   157 {}   158 {}   159 {}   160 {}   161 {}   162 {}   163 {}   164 {}   165 {}   166 {}   167 {}   168 {}   169 {}   170 {}   171 {}   172 {}   173 {}   174 {}   175 {}   176 {}   177 {}   178 {}   179 {}   180 {}   181 {}   182 {}   183 {}   184 {}   185 {}   186 {}   187 {}   188 {}   189 {}   190 {}   191 {}   192 {}   193 {}   194 {}   195 {}   196 {}   197 {}   198 {}   199 {}   200 {}}
 
 do_execsql_test 1.1.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+} {1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}}
 
 do_execsql_test 1.1.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
-} {89   89.6   89.6.29   89.6.29.47   89.6.29.47.59   89.6.29.47.59.28   89.6.29.47.59.28.75   89.6.29.47.59.28.75.78   89.6.29.47.59.28.75.78.72   89.6.29.47.59.28.75.78.72.98   89.6.29.47.59.28.75.78.72.98.87   89.6.29.47.59.28.75.78.72.98.87.73   89.6.29.47.59.28.75.78.72.98.87.73.96   89.6.29.47.59.28.75.78.72.98.87.73.96.74   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.96   74.96.97   74.96.97.84   74.96.97.84.86   74.96.97.84.86.32   74.96.97.84.86.32.25   74.96.97.84.86.32.25.89   74.96.97.84.86.32.25.89.29   74.96.97.84.86.32.25.89.29.9   74.96.97.84.86.32.25.89.29.9.21   74.96.97.84.86.32.25.89.29.9.21.12   74.96.97.84.86.32.25.89.29.9.21.12.88   74.96.97.84.86.32.25.89.29.9.21.12.88.55   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.38   74.38.46   74.38.46.23   74.38.46.23.61   74.38.46.23.61.3   74.38.46.23.61.3.1   74.38.46.23.61.3.1.76   74.38.46.23.61.3.1.76.63   74.38.46.23.61.3.1.76.63.73   74.38.46.23.61.3.1.76.63.73.65   74.38.46.23.61.3.1.76.63.73.65.20   74.38.46.23.61.3.1.76.63.73.65.20.8   74.38.46.23.61.3.1.76.63.73.65.20.8.77   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   99.39   99.39.54   99.39.54.16   99.39.54.16.85   99.39.54.16.85.22   99.39.54.16.85.22.40   99.39.54.16.85.22.40.4   99.39.54.16.85.22.40.4.87   99.39.54.16.85.22.40.4.87.65   99.39.54.16.85.22.40.4.87.65.5   99.39.54.16.85.22.40.4.87.65.5.31   99.39.54.16.85.22.40.4.87.65.5.31.49   99.39.54.16.85.22.40.4.87.65.5.31.49.2   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33.91   33.91.8   33.91.8.65   33.91.8.65.85   33.91.8.65.85.55   33.91.8.65.85.55.56   33.91.8.65.85.55.56.42   33.91.8.65.85.55.56.42.80   33.91.8.65.85.55.56.42.80.58   33.91.8.65.85.55.56.42.80.58.11   33.91.8.65.85.55.56.42.80.58.11.95   33.91.8.65.85.55.56.42.80.58.11.95.90   33.91.8.65.85.55.56.42.80.58.11.95.90.85   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+} {1 89   2 89.6   3 89.6.29   4 89.6.29.47   5 89.6.29.47.59   6 89.6.29.47.59.28   7 89.6.29.47.59.28.75   8 89.6.29.47.59.28.75.78   9 89.6.29.47.59.28.75.78.72   10 89.6.29.47.59.28.75.78.72.98   11 89.6.29.47.59.28.75.78.72.98.87   12 89.6.29.47.59.28.75.78.72.98.87.73   13 89.6.29.47.59.28.75.78.72.98.87.73.96   14 89.6.29.47.59.28.75.78.72.98.87.73.96.74   15 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   16 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   17 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91   18 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69   19 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 74   2 74.96   3 74.96.97   4 74.96.97.84   5 74.96.97.84.86   6 74.96.97.84.86.32   7 74.96.97.84.86.32.25   8 74.96.97.84.86.32.25.89   9 74.96.97.84.86.32.25.89.29   10 74.96.97.84.86.32.25.89.29.9   11 74.96.97.84.86.32.25.89.29.9.21   12 74.96.97.84.86.32.25.89.29.9.21.12   13 74.96.97.84.86.32.25.89.29.9.21.12.88   14 74.96.97.84.86.32.25.89.29.9.21.12.88.55   15 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   16 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   17 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81   18 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91   19 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 74   2 74.38   3 74.38.46   4 74.38.46.23   5 74.38.46.23.61   6 74.38.46.23.61.3   7 74.38.46.23.61.3.1   8 74.38.46.23.61.3.1.76   9 74.38.46.23.61.3.1.76.63   10 74.38.46.23.61.3.1.76.63.73   11 74.38.46.23.61.3.1.76.63.73.65   12 74.38.46.23.61.3.1.76.63.73.65.20   13 74.38.46.23.61.3.1.76.63.73.65.20.8   14 74.38.46.23.61.3.1.76.63.73.65.20.8.77   15 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   16 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   17 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23   18 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15   19 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 99   2 99.39   3 99.39.54   4 99.39.54.16   5 99.39.54.16.85   6 99.39.54.16.85.22   7 99.39.54.16.85.22.40   8 99.39.54.16.85.22.40.4   9 99.39.54.16.85.22.40.4.87   10 99.39.54.16.85.22.40.4.87.65   11 99.39.54.16.85.22.40.4.87.65.5   12 99.39.54.16.85.22.40.4.87.65.5.31   13 99.39.54.16.85.22.40.4.87.65.5.31.49   14 99.39.54.16.85.22.40.4.87.65.5.31.49.2   15 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   16 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   17 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13   18 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36   19 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 33   2 33.91   3 33.91.8   4 33.91.8.65   5 33.91.8.65.85   6 33.91.8.65.85.55   7 33.91.8.65.85.55.56   8 33.91.8.65.85.55.56.42   9 33.91.8.65.85.55.56.42.80   10 33.91.8.65.85.55.56.42.80.58   11 33.91.8.65.85.55.56.42.80.58.11   12 33.91.8.65.85.55.56.42.80.58.11.95   13 33.91.8.65.85.55.56.42.80.58.11.95.90   14 33.91.8.65.85.55.56.42.80.58.11.95.90.85   15 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   16 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   17 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14   18 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3   19 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}}
 
 do_execsql_test 1.2.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
@@ -823,24 +827,28 @@ do_execsql_test 1.2.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.2.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
-} {74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+} {200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
 
 do_execsql_test 1.2.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+} {200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}}
 
 do_execsql_test 1.2.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+} {20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}}
 
 do_execsql_test 1.2.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
-} {89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+} {20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}}
 
 do_execsql_test 1.3.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
@@ -1215,24 +1223,28 @@ do_execsql_test 1.3.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.3.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
-} {{}   74   {}   74   {}   99   {}   33   {}   89   {}   96   {}   38   {}   39   {}   91   {}   6   {}   97   {}   46   {}   54   {}   8   {}   29   {}   84   {}   23   {}   16   {}   65   {}   47   {}   86   {}   61   {}   85   {}   85   {}   59   {}   32   {}   3   {}   22   {}   55   {}   28   {}   25   {}   1   {}   40   {}   56   {}   75   {}   89   {}   76   {}   4   {}   42   {}   78   {}   29   {}   63   {}   87   {}   80   {}   72   {}   9   {}   73   {}   65   {}   58   {}   98   {}   21   {}   65   {}   5   {}   11   {}   87   {}   12   {}   20   {}   31   {}   95   {}   73   {}   88   {}   8   {}   49   {}   90   {}   96   {}   55   {}   77   {}   2   {}   85   {}   74   {}   70   {}   19   {}   26   {}   47   {}   90   {}   58   {}   9   {}   72   {}   33   {}   75   {}   81   {}   23   {}   13   {}   14   {}   91   {}   91   {}   15   {}   36   {}   3   {}   69   {}   52   {}   50   {}   10   {}   33   {}   39   {}   58   {}   38   {}   83   {}   82   {}   7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW)
+} {1 {}   1 74   1 {}   1 74   1 {}   1 99   1 {}   1 33   1 {}   1 89   1 {}   1 96   1 {}   1 38   1 {}   1 39   1 {}   1 91   1 {}   1 6   1 {}   1 97   1 {}   1 46   1 {}   1 54   1 {}   1 8   1 {}   1 29   1 {}   1 84   1 {}   1 23   1 {}   1 16   1 {}   1 65   1 {}   1 47   1 {}   1 86   1 {}   1 61   1 {}   1 85   1 {}   1 85   1 {}   1 59   1 {}   1 32   1 {}   1 3   1 {}   1 22   1 {}   1 55   1 {}   1 28   1 {}   1 25   1 {}   1 1   1 {}   1 40   1 {}   1 56   1 {}   1 75   1 {}   1 89   1 {}   1 76   1 {}   1 4   1 {}   1 42   1 {}   1 78   1 {}   1 29   1 {}   1 63   1 {}   1 87   1 {}   1 80   1 {}   1 72   1 {}   1 9   1 {}   1 73   1 {}   1 65   1 {}   1 58   1 {}   1 98   1 {}   1 21   1 {}   1 65   1 {}   1 5   1 {}   1 11   1 {}   1 87   1 {}   1 12   1 {}   1 20   1 {}   1 31   1 {}   1 95   1 {}   1 73   1 {}   1 88   1 {}   1 8   1 {}   1 49   1 {}   1 90   1 {}   1 96   1 {}   1 55   1 {}   1 77   1 {}   1 2   1 {}   1 85   1 {}   1 74   1 {}   1 70   1 {}   1 19   1 {}   1 26   1 {}   1 47   1 {}   1 90   1 {}   1 58   1 {}   1 9   1 {}   1 72   1 {}   1 33   1 {}   1 75   1 {}   1 81   1 {}   1 23   1 {}   1 13   1 {}   1 14   1 {}   1 91   1 {}   1 91   1 {}   1 15   1 {}   1 36   1 {}   1 3   1 {}   1 69   1 {}   1 52   1 {}   1 50   1 {}   1 10   1 {}   1 33   1 {}   1 39   1 {}   1 58   1 {}   1 38   1 {}   1 83   1 {}   1 82   1 {}   1 7}
 
 do_execsql_test 1.3.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW)
+} {1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}}
 
 do_execsql_test 1.3.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW)
+} {1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}}
 
 do_execsql_test 1.3.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
-} {89   6   29   47   59   28   75   78   72   98   87   73   96   74   90   75   91   69   39   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   96   97   84   86   32   25   89   29   9   21   12   88   55   70   58   81   91   52   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   38   46   23   61   3   1   76   63   73   65   20   8   77   19   9   23   15   50   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   39   54   16   85   22   40   4   87   65   5   31   49   2   26   72   13   36   10   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   91   8   65   85   55   56   42   80   58   11   95   90   85   47   33   14   3   33   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND CURRENT ROW)
+} {1 89   1 6   1 29   1 47   1 59   1 28   1 75   1 78   1 72   1 98   1 87   1 73   1 96   1 74   1 90   1 75   1 91   1 69   1 39   1 7   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 74   1 96   1 97   1 84   1 86   1 32   1 25   1 89   1 29   1 9   1 21   1 12   1 88   1 55   1 70   1 58   1 81   1 91   1 52   1 58   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 74   1 38   1 46   1 23   1 61   1 3   1 1   1 76   1 63   1 73   1 65   1 20   1 8   1 77   1 19   1 9   1 23   1 15   1 50   1 38   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 99   1 39   1 54   1 16   1 85   1 22   1 40   1 4   1 87   1 65   1 5   1 31   1 49   1 2   1 26   1 72   1 13   1 36   1 10   1 83   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 33   1 91   1 8   1 65   1 85   1 55   1 56   1 42   1 80   1 58   1 11   1 95   1 90   1 85   1 47   1 33   1 14   1 3   1 33   1 82   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}}
 
 do_execsql_test 1.4.2.1 {
   SELECT max(b) OVER ( ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
@@ -1607,24 +1619,28 @@ do_execsql_test 1.4.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.4.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
-} {74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   33.39.58.38.83.82.7   33.39.58.38.83.82.7   39.58.38.83.82.7   39.58.38.83.82.7   58.38.83.82.7   58.38.83.82.7   38.83.82.7   38.83.82.7   83.82.7   83.82.7   82.7   82.7   7   7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING)
+} {200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   199 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   198 74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   197 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16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   165 16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   164 65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   163 65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   162 47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   161 47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   160 86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   159 86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   158 61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   157 61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   156 85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   155 85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   154 85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   153 85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   152 59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   151 59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   150 32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   149 32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   148 3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   147 3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   146 22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   145 22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   144 55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   143 55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   142 28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   141 28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   140 25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   139 25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   138 1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   137 1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   136 40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   135 40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   134 56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   133 56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   132 75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   131 75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   130 89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   129 89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   128 76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   127 76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   126 4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   125 4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   124 42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   123 42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   122 78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   121 78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   120 29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   119 29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   118 63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   117 63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   116 87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   115 87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   114 80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   113 80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   112 72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   111 72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   110 9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   109 9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   108 73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   107 73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   106 65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   105 65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   104 58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   103 58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   102 98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   101 98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   100 21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99 21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98 65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97 65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96 5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95 5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   94 11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   93 11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   92 87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91 87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90 12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89 12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88 20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87 20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86 31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85 31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84 95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   83 95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   82 73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81 73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80 88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   79 88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   78 8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77 8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76 49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75 49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74 90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73 90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72 96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   71 96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70 55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   69 55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   68 77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   67 77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   66 2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65 2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   64 85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   63 85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   62 74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61 74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   60 70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59 70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58 19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   57 19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56 26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55 26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54 47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   53 47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   52 90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   51 90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   50 58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49 58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   48 9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47 9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46 72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   45 72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   44 33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   43 33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42 75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   41 75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40 81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39 81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38 23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   37 23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   36 13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   35 13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   34 14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33 14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32 91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31 91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   30 91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29 91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28 15.36.3.69.52.50.10.33.39.58.38.83.82.7   27 15.36.3.69.52.50.10.33.39.58.38.83.82.7   26 36.3.69.52.50.10.33.39.58.38.83.82.7   25 36.3.69.52.50.10.33.39.58.38.83.82.7   24 3.69.52.50.10.33.39.58.38.83.82.7   23 3.69.52.50.10.33.39.58.38.83.82.7   22 69.52.50.10.33.39.58.38.83.82.7   21 69.52.50.10.33.39.58.38.83.82.7   20 52.50.10.33.39.58.38.83.82.7   19 52.50.10.33.39.58.38.83.82.7   18 50.10.33.39.58.38.83.82.7   17 50.10.33.39.58.38.83.82.7   16 10.33.39.58.38.83.82.7   15 10.33.39.58.38.83.82.7   14 33.39.58.38.83.82.7   13 33.39.58.38.83.82.7   12 39.58.38.83.82.7   11 39.58.38.83.82.7   10 58.38.83.82.7   9 58.38.83.82.7   8 38.83.82.7   7 38.83.82.7   6 83.82.7   5 83.82.7   4 82.7   3 82.7   2 7   1 7}
 
 do_execsql_test 1.4.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING)
+} {200 {}   199 {}   198 {}   197 {}   196 {}   195 {}   194 {}   193 {}   192 {}   191 {}   190 {}   189 {}   188 {}   187 {}   186 {}   185 {}   184 {}   183 {}   182 {}   181 {}   180 {}   179 {}   178 {}   177 {}   176 {}   175 {}   174 {}   173 {}   172 {}   171 {}   170 {}   169 {}   168 {}   167 {}   166 {}   165 {}   164 {}   163 {}   162 {}   161 {}   160 {}   159 {}   158 {}   157 {}   156 {}   155 {}   154 {}   153 {}   152 {}   151 {}   150 {}   149 {}   148 {}   147 {}   146 {}   145 {}   144 {}   143 {}   142 {}   141 {}   140 {}   139 {}   138 {}   137 {}   136 {}   135 {}   134 {}   133 {}   132 {}   131 {}   130 {}   129 {}   128 {}   127 {}   126 {}   125 {}   124 {}   123 {}   122 {}   121 {}   120 {}   119 {}   118 {}   117 {}   116 {}   115 {}   114 {}   113 {}   112 {}   111 {}   110 {}   109 {}   108 {}   107 {}   106 {}   105 {}   104 {}   103 {}   102 {}   101 {}   100 {}   99 {}   98 {}   97 {}   96 {}   95 {}   94 {}   93 {}   92 {}   91 {}   90 {}   89 {}   88 {}   87 {}   86 {}   85 {}   84 {}   83 {}   82 {}   81 {}   80 {}   79 {}   78 {}   77 {}   76 {}   75 {}   74 {}   73 {}   72 {}   71 {}   70 {}   69 {}   68 {}   67 {}   66 {}   65 {}   64 {}   63 {}   62 {}   61 {}   60 {}   59 {}   58 {}   57 {}   56 {}   55 {}   54 {}   53 {}   52 {}   51 {}   50 {}   49 {}   48 {}   47 {}   46 {}   45 {}   44 {}   43 {}   42 {}   41 {}   40 {}   39 {}   38 {}   37 {}   36 {}   35 {}   34 {}   33 {}   32 {}   31 {}   30 {}   29 {}   28 {}   27 {}   26 {}   25 {}   24 {}   23 {}   22 {}   21 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}}
 
 do_execsql_test 1.4.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING)
+} {20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}}
 
 do_execsql_test 1.4.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
-} {89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   75.78.72.98.87.73.96.74.90.75.91.69.39.7   78.72.98.87.73.96.74.90.75.91.69.39.7   72.98.87.73.96.74.90.75.91.69.39.7   98.87.73.96.74.90.75.91.69.39.7   87.73.96.74.90.75.91.69.39.7   73.96.74.90.75.91.69.39.7   96.74.90.75.91.69.39.7   74.90.75.91.69.39.7   90.75.91.69.39.7   75.91.69.39.7   91.69.39.7   69.39.7   39.7   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   25.89.29.9.21.12.88.55.70.58.81.91.52.58   89.29.9.21.12.88.55.70.58.81.91.52.58   29.9.21.12.88.55.70.58.81.91.52.58   9.21.12.88.55.70.58.81.91.52.58   21.12.88.55.70.58.81.91.52.58   12.88.55.70.58.81.91.52.58   88.55.70.58.81.91.52.58   55.70.58.81.91.52.58   70.58.81.91.52.58   58.81.91.52.58   81.91.52.58   91.52.58   52.58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   1.76.63.73.65.20.8.77.19.9.23.15.50.38   76.63.73.65.20.8.77.19.9.23.15.50.38   63.73.65.20.8.77.19.9.23.15.50.38   73.65.20.8.77.19.9.23.15.50.38   65.20.8.77.19.9.23.15.50.38   20.8.77.19.9.23.15.50.38   8.77.19.9.23.15.50.38   77.19.9.23.15.50.38   19.9.23.15.50.38   9.23.15.50.38   23.15.50.38   15.50.38   50.38   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   40.4.87.65.5.31.49.2.26.72.13.36.10.83   4.87.65.5.31.49.2.26.72.13.36.10.83   87.65.5.31.49.2.26.72.13.36.10.83   65.5.31.49.2.26.72.13.36.10.83   5.31.49.2.26.72.13.36.10.83   31.49.2.26.72.13.36.10.83   49.2.26.72.13.36.10.83   2.26.72.13.36.10.83   26.72.13.36.10.83   72.13.36.10.83   13.36.10.83   36.10.83   10.83   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   56.42.80.58.11.95.90.85.47.33.14.3.33.82   42.80.58.11.95.90.85.47.33.14.3.33.82   80.58.11.95.90.85.47.33.14.3.33.82   58.11.95.90.85.47.33.14.3.33.82   11.95.90.85.47.33.14.3.33.82   95.90.85.47.33.14.3.33.82   90.85.47.33.14.3.33.82   85.47.33.14.3.33.82   47.33.14.3.33.82   33.14.3.33.82   14.3.33.82   3.33.82   33.82   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a RANGE BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING)
+} {20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   19 6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   18 29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   17 47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   16 59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   15 28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   14 75.78.72.98.87.73.96.74.90.75.91.69.39.7   13 78.72.98.87.73.96.74.90.75.91.69.39.7   12 72.98.87.73.96.74.90.75.91.69.39.7   11 98.87.73.96.74.90.75.91.69.39.7   10 87.73.96.74.90.75.91.69.39.7   9 73.96.74.90.75.91.69.39.7   8 96.74.90.75.91.69.39.7   7 74.90.75.91.69.39.7   6 90.75.91.69.39.7   5 75.91.69.39.7   4 91.69.39.7   3 69.39.7   2 39.7   1 7   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   19 96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   18 97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   17 84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   16 86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   15 32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   14 25.89.29.9.21.12.88.55.70.58.81.91.52.58   13 89.29.9.21.12.88.55.70.58.81.91.52.58   12 29.9.21.12.88.55.70.58.81.91.52.58   11 9.21.12.88.55.70.58.81.91.52.58   10 21.12.88.55.70.58.81.91.52.58   9 12.88.55.70.58.81.91.52.58   8 88.55.70.58.81.91.52.58   7 55.70.58.81.91.52.58   6 70.58.81.91.52.58   5 58.81.91.52.58   4 81.91.52.58   3 91.52.58   2 52.58   1 58   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   19 38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   18 46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   17 23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   16 61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   15 3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   14 1.76.63.73.65.20.8.77.19.9.23.15.50.38   13 76.63.73.65.20.8.77.19.9.23.15.50.38   12 63.73.65.20.8.77.19.9.23.15.50.38   11 73.65.20.8.77.19.9.23.15.50.38   10 65.20.8.77.19.9.23.15.50.38   9 20.8.77.19.9.23.15.50.38   8 8.77.19.9.23.15.50.38   7 77.19.9.23.15.50.38   6 19.9.23.15.50.38   5 9.23.15.50.38   4 23.15.50.38   3 15.50.38   2 50.38   1 38   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   19 39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   18 54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   17 16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   16 85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   15 22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   14 40.4.87.65.5.31.49.2.26.72.13.36.10.83   13 4.87.65.5.31.49.2.26.72.13.36.10.83   12 87.65.5.31.49.2.26.72.13.36.10.83   11 65.5.31.49.2.26.72.13.36.10.83   10 5.31.49.2.26.72.13.36.10.83   9 31.49.2.26.72.13.36.10.83   8 49.2.26.72.13.36.10.83   7 2.26.72.13.36.10.83   6 26.72.13.36.10.83   5 72.13.36.10.83   4 13.36.10.83   3 36.10.83   2 10.83   1 83   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   19 91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   18 8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   17 65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   16 85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   15 55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   14 56.42.80.58.11.95.90.85.47.33.14.3.33.82   13 42.80.58.11.95.90.85.47.33.14.3.33.82   12 80.58.11.95.90.85.47.33.14.3.33.82   11 58.11.95.90.85.47.33.14.3.33.82   10 11.95.90.85.47.33.14.3.33.82   9 95.90.85.47.33.14.3.33.82   8 90.85.47.33.14.3.33.82   7 85.47.33.14.3.33.82   6 47.33.14.3.33.82   5 33.14.3.33.82   4 14.3.33.82   3 3.33.82   2 33.82   1 82   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}}
 
 do_execsql_test 1.5.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING ) FROM t2
@@ -1999,24 +2015,28 @@ do_execsql_test 1.5.14.6 {
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
 do_execsql_test 1.5.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
-} {{}   {}   {}   {}   {}   74   74   74.74   74.74   74.74.99   74.74.99   74.74.99.33   74.74.99.33   74.74.99.33.89   74.74.99.33.89   74.74.99.33.89.96   74.74.99.33.89.96   74.74.99.33.89.96.38   74.74.99.33.89.96.38   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING)
+} {0 {}   0 {}   0 {}   0 {}   1 {}   2 74   3 74   4 74.74   5 74.74   6 74.74.99   7 74.74.99   8 74.74.99.33   9 74.74.99.33   10 74.74.99.33.89   11 74.74.99.33.89   12 74.74.99.33.89.96   13 74.74.99.33.89.96   14 74.74.99.33.89.96.38   15 74.74.99.33.89.96.38   16 74.74.99.33.89.96.38.39   17 74.74.99.33.89.96.38.39   18 74.74.99.33.89.96.38.39.91   19 74.74.99.33.89.96.38.39.91   20 74.74.99.33.89.96.38.39.91.6   21 74.74.99.33.89.96.38.39.91.6   22 74.74.99.33.89.96.38.39.91.6.97   23 74.74.99.33.89.96.38.39.91.6.97   24 74.74.99.33.89.96.38.39.91.6.97.46   25 74.74.99.33.89.96.38.39.91.6.97.46   26 74.74.99.33.89.96.38.39.91.6.97.46.54   27 74.74.99.33.89.96.38.39.91.6.97.46.54   28 74.74.99.33.89.96.38.39.91.6.97.46.54.8   29 74.74.99.33.89.96.38.39.91.6.97.46.54.8   30 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   31 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   32 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   33 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   34 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   35 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   36 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   37 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   38 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   39 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   40 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   41 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   42 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   43 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   44 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   45 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   46 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   47 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   48 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   49 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   50 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   51 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   52 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   53 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   54 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   55 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   56 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   57 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   58 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   59 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   60 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   61 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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   88 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   89 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   90 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   91 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   92 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   93 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   94 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   95 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   96 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   97 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   98 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   99 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   100 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   101 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   102 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   103 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   104 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   105 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   106 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   107 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   108 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   109 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   110 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   111 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   112 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   113 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   114 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   115 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   116 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   117 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   118 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   119 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   120 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73   121 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73   122 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88   123 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88   124 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8   125 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8   126 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49   127 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49   128 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90   129 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90   130 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96   131 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96   132 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55   133 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55   134 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77   135 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77   136 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2   137 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2   138 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85   139 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85   140 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74   141 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74   142 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70   143 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70   144 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19   145 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19   146 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26   147 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26   148 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47   149 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47   150 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90   151 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90   152 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58   153 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58   154 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9   155 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9   156 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72   157 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72   158 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33   159 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33   160 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75   161 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75   162 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81   163 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81   164 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   165 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   166 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   167 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   168 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   169 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   170 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   171 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   172 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   173 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   174 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   175 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   176 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   177 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   178 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   179 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   180 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   181 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   182 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   183 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   184 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   185 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   186 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   187 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   188 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   189 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   190 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   191 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   192 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   193 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   194 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   195 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   196 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83}
 
 do_execsql_test 1.5.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING)
+} {0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   21 {}   22 {}   23 {}   24 {}   25 {}   26 {}   27 {}   28 {}   29 {}   30 {}   31 {}   32 {}   33 {}   34 {}   35 {}   36 {}   37 {}   38 {}   39 {}   40 {}   41 {}   42 {}   43 {}   44 {}   45 {}   46 {}   47 {}   48 {}   49 {}   50 {}   51 {}   52 {}   53 {}   54 {}   55 {}   56 {}   57 {}   58 {}   59 {}   60 {}   61 {}   62 {}   63 {}   64 {}   65 {}   66 {}   67 {}   68 {}   69 {}   70 {}   71 {}   72 {}   73 {}   74 {}   75 {}   76 {}   77 {}   78 {}   79 {}   80 {}   81 {}   82 {}   83 {}   84 {}   85 {}   86 {}   87 {}   88 {}   89 {}   90 {}   91 {}   92 {}   93 {}   94 {}   95 {}   96 {}   97 {}   98 {}   99 {}   100 {}   101 {}   102 {}   103 {}   104 {}   105 {}   106 {}   107 {}   108 {}   109 {}   110 {}   111 {}   112 {}   113 {}   114 {}   115 {}   116 {}   117 {}   118 {}   119 {}   120 {}   121 {}   122 {}   123 {}   124 {}   125 {}   126 {}   127 {}   128 {}   129 {}   130 {}   131 {}   132 {}   133 {}   134 {}   135 {}   136 {}   137 {}   138 {}   139 {}   140 {}   141 {}   142 {}   143 {}   144 {}   145 {}   146 {}   147 {}   148 {}   149 {}   150 {}   151 {}   152 {}   153 {}   154 {}   155 {}   156 {}   157 {}   158 {}   159 {}   160 {}   161 {}   162 {}   163 {}   164 {}   165 {}   166 {}   167 {}   168 {}   169 {}   170 {}   171 {}   172 {}   173 {}   174 {}   175 {}   176 {}   177 {}   178 {}   179 {}   180 {}   181 {}   182 {}   183 {}   184 {}   185 {}   186 {}   187 {}   188 {}   189 {}   190 {}   191 {}   192 {}   193 {}   194 {}   195 {}   196 {}}
 
 do_execsql_test 1.5.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING)
+} {0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}}
 
 do_execsql_test 1.5.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING) FROM t2
-} {{}   {}   {}   {}   89   89.6   89.6.29   89.6.29.47   89.6.29.47.59   89.6.29.47.59.28   89.6.29.47.59.28.75   89.6.29.47.59.28.75.78   89.6.29.47.59.28.75.78.72   89.6.29.47.59.28.75.78.72.98   89.6.29.47.59.28.75.78.72.98.87   89.6.29.47.59.28.75.78.72.98.87.73   89.6.29.47.59.28.75.78.72.98.87.73.96   89.6.29.47.59.28.75.78.72.98.87.73.96.74   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.96   74.96.97   74.96.97.84   74.96.97.84.86   74.96.97.84.86.32   74.96.97.84.86.32.25   74.96.97.84.86.32.25.89   74.96.97.84.86.32.25.89.29   74.96.97.84.86.32.25.89.29.9   74.96.97.84.86.32.25.89.29.9.21   74.96.97.84.86.32.25.89.29.9.21.12   74.96.97.84.86.32.25.89.29.9.21.12.88   74.96.97.84.86.32.25.89.29.9.21.12.88.55   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.38   74.38.46   74.38.46.23   74.38.46.23.61   74.38.46.23.61.3   74.38.46.23.61.3.1   74.38.46.23.61.3.1.76   74.38.46.23.61.3.1.76.63   74.38.46.23.61.3.1.76.63.73   74.38.46.23.61.3.1.76.63.73.65   74.38.46.23.61.3.1.76.63.73.65.20   74.38.46.23.61.3.1.76.63.73.65.20.8   74.38.46.23.61.3.1.76.63.73.65.20.8.77   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   99.39   99.39.54   99.39.54.16   99.39.54.16.85   99.39.54.16.85.22   99.39.54.16.85.22.40   99.39.54.16.85.22.40.4   99.39.54.16.85.22.40.4.87   99.39.54.16.85.22.40.4.87.65   99.39.54.16.85.22.40.4.87.65.5   99.39.54.16.85.22.40.4.87.65.5.31   99.39.54.16.85.22.40.4.87.65.5.31.49   99.39.54.16.85.22.40.4.87.65.5.31.49.2   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33.91   33.91.8   33.91.8.65   33.91.8.65.85   33.91.8.65.85.55   33.91.8.65.85.55.56   33.91.8.65.85.55.56.42   33.91.8.65.85.55.56.42.80   33.91.8.65.85.55.56.42.80.58   33.91.8.65.85.55.56.42.80.58.11   33.91.8.65.85.55.56.42.80.58.11.95   33.91.8.65.85.55.56.42.80.58.11.95.90   33.91.8.65.85.55.56.42.80.58.11.95.90.85   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 PRECEDING)
+} {0 {}   0 {}   0 {}   0 {}   1 89   2 89.6   3 89.6.29   4 89.6.29.47   5 89.6.29.47.59   6 89.6.29.47.59.28   7 89.6.29.47.59.28.75   8 89.6.29.47.59.28.75.78   9 89.6.29.47.59.28.75.78.72   10 89.6.29.47.59.28.75.78.72.98   11 89.6.29.47.59.28.75.78.72.98.87   12 89.6.29.47.59.28.75.78.72.98.87.73   13 89.6.29.47.59.28.75.78.72.98.87.73.96   14 89.6.29.47.59.28.75.78.72.98.87.73.96.74   15 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   16 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 74   2 74.96   3 74.96.97   4 74.96.97.84   5 74.96.97.84.86   6 74.96.97.84.86.32   7 74.96.97.84.86.32.25   8 74.96.97.84.86.32.25.89   9 74.96.97.84.86.32.25.89.29   10 74.96.97.84.86.32.25.89.29.9   11 74.96.97.84.86.32.25.89.29.9.21   12 74.96.97.84.86.32.25.89.29.9.21.12   13 74.96.97.84.86.32.25.89.29.9.21.12.88   14 74.96.97.84.86.32.25.89.29.9.21.12.88.55   15 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   16 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 74   2 74.38   3 74.38.46   4 74.38.46.23   5 74.38.46.23.61   6 74.38.46.23.61.3   7 74.38.46.23.61.3.1   8 74.38.46.23.61.3.1.76   9 74.38.46.23.61.3.1.76.63   10 74.38.46.23.61.3.1.76.63.73   11 74.38.46.23.61.3.1.76.63.73.65   12 74.38.46.23.61.3.1.76.63.73.65.20   13 74.38.46.23.61.3.1.76.63.73.65.20.8   14 74.38.46.23.61.3.1.76.63.73.65.20.8.77   15 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   16 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 99   2 99.39   3 99.39.54   4 99.39.54.16   5 99.39.54.16.85   6 99.39.54.16.85.22   7 99.39.54.16.85.22.40   8 99.39.54.16.85.22.40.4   9 99.39.54.16.85.22.40.4.87   10 99.39.54.16.85.22.40.4.87.65   11 99.39.54.16.85.22.40.4.87.65.5   12 99.39.54.16.85.22.40.4.87.65.5.31   13 99.39.54.16.85.22.40.4.87.65.5.31.49   14 99.39.54.16.85.22.40.4.87.65.5.31.49.2   15 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   16 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   0 {}   0 {}   0 {}   0 {}   1 33   2 33.91   3 33.91.8   4 33.91.8.65   5 33.91.8.65.85   6 33.91.8.65.85.55   7 33.91.8.65.85.55.56   8 33.91.8.65.85.55.56.42   9 33.91.8.65.85.55.56.42.80   10 33.91.8.65.85.55.56.42.80.58   11 33.91.8.65.85.55.56.42.80.58.11   12 33.91.8.65.85.55.56.42.80.58.11.95   13 33.91.8.65.85.55.56.42.80.58.11.95.90   14 33.91.8.65.85.55.56.42.80.58.11.95.90.85   15 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   16 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   0 {}   0 {}   0 {}   0 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}}
 
 do_execsql_test 1.6.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING ) FROM t2
@@ -2391,24 +2411,28 @@ do_execsql_test 1.6.14.6 {
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
 do_execsql_test 1.6.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
-} {{}   {}   {}   74   74   74.74   74   74.99   99   99.33   33   33.89   89   89.96   96   96.38   38   38.39   39   39.91   91   91.6   6   6.97   97   97.46   46   46.54   54   54.8   8   8.29   29   29.84   84   84.23   23   23.16   16   16.65   65   65.47   47   47.86   86   86.61   61   61.85   85   85.85   85   85.59   59   59.32   32   32.3   3   3.22   22   22.55   55   55.28   28   28.25   25   25.1   1   1.40   40   40.56   56   56.75   75   75.89   89   89.76   76   76.4   4   4.42   42   42.78   78   78.29   29   29.63   63   63.87   87   87.80   80   80.72   72   72.9   9   9.73   73   73.65   65   65.58   58   58.98   98   98.21   21   21.65   65   65.5   5   5.11   11   11.87   87   87.12   12   12.20   20   20.31   31   31.95   95   95.73   73   73.88   88   88.8   8   8.49   49   49.90   90   90.96   96   96.55   55   55.77   77   77.2   2   2.85   85   85.74   74   74.70   70   70.19   19   19.26   26   26.47   47   47.90   90   90.58   58   58.9   9   9.72   72   72.33   33   33.75   75   75.81   81   81.23   23   23.13   13   13.14   14   14.91   91   91.91   91   91.15   15   15.36   36   36.3   3   3.69   69   69.52   52   52.50   50   50.10   10   10.33   33   33.39   39   39.58   58   58.38   38   38.83   83   83.82}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING)
+} {0 {}   0 {}   1 {}   2 74   3 74   3 74.74   3 74   3 74.99   3 99   3 99.33   3 33   3 33.89   3 89   3 89.96   3 96   3 96.38   3 38   3 38.39   3 39   3 39.91   3 91   3 91.6   3 6   3 6.97   3 97   3 97.46   3 46   3 46.54   3 54   3 54.8   3 8   3 8.29   3 29   3 29.84   3 84   3 84.23   3 23   3 23.16   3 16   3 16.65   3 65   3 65.47   3 47   3 47.86   3 86   3 86.61   3 61   3 61.85   3 85   3 85.85   3 85   3 85.59   3 59   3 59.32   3 32   3 32.3   3 3   3 3.22   3 22   3 22.55   3 55   3 55.28   3 28   3 28.25   3 25   3 25.1   3 1   3 1.40   3 40   3 40.56   3 56   3 56.75   3 75   3 75.89   3 89   3 89.76   3 76   3 76.4   3 4   3 4.42   3 42   3 42.78   3 78   3 78.29   3 29   3 29.63   3 63   3 63.87   3 87   3 87.80   3 80   3 80.72   3 72   3 72.9   3 9   3 9.73   3 73   3 73.65   3 65   3 65.58   3 58   3 58.98   3 98   3 98.21   3 21   3 21.65   3 65   3 65.5   3 5   3 5.11   3 11   3 11.87   3 87   3 87.12   3 12   3 12.20   3 20   3 20.31   3 31   3 31.95   3 95   3 95.73   3 73   3 73.88   3 88   3 88.8   3 8   3 8.49   3 49   3 49.90   3 90   3 90.96   3 96   3 96.55   3 55   3 55.77   3 77   3 77.2   3 2   3 2.85   3 85   3 85.74   3 74   3 74.70   3 70   3 70.19   3 19   3 19.26   3 26   3 26.47   3 47   3 47.90   3 90   3 90.58   3 58   3 58.9   3 9   3 9.72   3 72   3 72.33   3 33   3 33.75   3 75   3 75.81   3 81   3 81.23   3 23   3 23.13   3 13   3 13.14   3 14   3 14.91   3 91   3 91.91   3 91   3 91.15   3 15   3 15.36   3 36   3 36.3   3 3   3 3.69   3 69   3 69.52   3 52   3 52.50   3 50   3 50.10   3 10   3 10.33   3 33   3 33.39   3 39   3 39.58   3 58   3 58.38   3 38   3 38.83   3 83   3 83.82}
 
 do_execsql_test 1.6.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING)
+} {0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}}
 
 do_execsql_test 1.6.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING)
+} {0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}}
 
 do_execsql_test 1.6.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING) FROM t2
-} {{}   {}   89   89.6   89.6.29   6.29.47   29.47.59   47.59.28   59.28.75   28.75.78   75.78.72   78.72.98   72.98.87   98.87.73   87.73.96   73.96.74   96.74.90   74.90.75   90.75.91   75.91.69   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.96   74.96.97   96.97.84   97.84.86   84.86.32   86.32.25   32.25.89   25.89.29   89.29.9   29.9.21   9.21.12   21.12.88   12.88.55   88.55.70   55.70.58   70.58.81   58.81.91   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.38   74.38.46   38.46.23   46.23.61   23.61.3   61.3.1   3.1.76   1.76.63   76.63.73   63.73.65   73.65.20   65.20.8   20.8.77   8.77.19   77.19.9   19.9.23   9.23.15   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   99.39   99.39.54   39.54.16   54.16.85   16.85.22   85.22.40   22.40.4   40.4.87   4.87.65   87.65.5   65.5.31   5.31.49   31.49.2   49.2.26   2.26.72   26.72.13   72.13.36   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33.91   33.91.8   91.8.65   8.65.85   65.85.55   85.55.56   55.56.42   56.42.80   42.80.58   80.58.11   58.11.95   11.95.90   95.90.85   90.85.47   85.47.33   47.33.14   33.14.3   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 PRECEDING)
+} {0 {}   0 {}   1 89   2 89.6   3 89.6.29   3 6.29.47   3 29.47.59   3 47.59.28   3 59.28.75   3 28.75.78   3 75.78.72   3 78.72.98   3 72.98.87   3 98.87.73   3 87.73.96   3 73.96.74   3 96.74.90   3 74.90.75   3 90.75.91   3 75.91.69   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 74   2 74.96   3 74.96.97   3 96.97.84   3 97.84.86   3 84.86.32   3 86.32.25   3 32.25.89   3 25.89.29   3 89.29.9   3 29.9.21   3 9.21.12   3 21.12.88   3 12.88.55   3 88.55.70   3 55.70.58   3 70.58.81   3 58.81.91   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 74   2 74.38   3 74.38.46   3 38.46.23   3 46.23.61   3 23.61.3   3 61.3.1   3 3.1.76   3 1.76.63   3 76.63.73   3 63.73.65   3 73.65.20   3 65.20.8   3 20.8.77   3 8.77.19   3 77.19.9   3 19.9.23   3 9.23.15   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 99   2 99.39   3 99.39.54   3 39.54.16   3 54.16.85   3 16.85.22   3 85.22.40   3 22.40.4   3 40.4.87   3 4.87.65   3 87.65.5   3 65.5.31   3 5.31.49   3 31.49.2   3 49.2.26   3 2.26.72   3 26.72.13   3 72.13.36   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   0 {}   0 {}   1 33   2 33.91   3 33.91.8   3 91.8.65   3 8.65.85   3 65.85.55   3 85.55.56   3 55.56.42   3 56.42.80   3 42.80.58   3 80.58.11   3 58.11.95   3 11.95.90   3 95.90.85   3 90.85.47   3 85.47.33   3 47.33.14   3 33.14.3   0 {}   0 {}   1 {}   2 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}}
 
 do_execsql_test 1.7.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW ) FROM t2
@@ -2783,24 +2807,28 @@ do_execsql_test 1.7.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.7.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
-} {{}   74   74   74.74   74.74   74.74.99   74.74.99   74.74.99.33   74.74.99.33   74.74.99.33.89   74.74.99.33.89   74.74.99.33.89.96   74.74.99.33.89.96   74.74.99.33.89.96.38   74.74.99.33.89.96.38   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+} {1 {}   2 74   3 74   4 74.74   5 74.74   6 74.74.99   7 74.74.99   8 74.74.99.33   9 74.74.99.33   10 74.74.99.33.89   11 74.74.99.33.89   12 74.74.99.33.89.96   13 74.74.99.33.89.96   14 74.74.99.33.89.96.38   15 74.74.99.33.89.96.38   16 74.74.99.33.89.96.38.39   17 74.74.99.33.89.96.38.39   18 74.74.99.33.89.96.38.39.91   19 74.74.99.33.89.96.38.39.91   20 74.74.99.33.89.96.38.39.91.6   21 74.74.99.33.89.96.38.39.91.6   22 74.74.99.33.89.96.38.39.91.6.97   23 74.74.99.33.89.96.38.39.91.6.97   24 74.74.99.33.89.96.38.39.91.6.97.46   25 74.74.99.33.89.96.38.39.91.6.97.46   26 74.74.99.33.89.96.38.39.91.6.97.46.54   27 74.74.99.33.89.96.38.39.91.6.97.46.54   28 74.74.99.33.89.96.38.39.91.6.97.46.54.8   29 74.74.99.33.89.96.38.39.91.6.97.46.54.8   30 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   31 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   32 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   33 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   34 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   35 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   36 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   37 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   38 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   39 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   40 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   41 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   42 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   43 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   44 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   45 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   46 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   47 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   48 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   49 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   50 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   51 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   52 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   53 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   54 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   55 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   56 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   57 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   58 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   59 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   60 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   61 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   62 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   63 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   64 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   65 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   66 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   67 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   68 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   69 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   70 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   71 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   72 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   73 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   75 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   76 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   77 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   78 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   79 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   80 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   81 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   82 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   83 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   84 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   85 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   86 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   87 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   88 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   89 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   90 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   91 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   92 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   93 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   94 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   95 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   96 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   97 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   98 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   99 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   100 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   101 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   102 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   103 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   104 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   105 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   106 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   107 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   108 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   109 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   110 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   111 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   112 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   113 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   114 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   115 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   116 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   117 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   118 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   119 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   120 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73   121 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73   122 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88   123 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88   124 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8   125 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8   126 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49   127 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49   128 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90   129 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90   130 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96   131 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96   132 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55   133 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55   134 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77   135 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77   136 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2   137 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2   138 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85   139 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85   140 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74   141 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74   142 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70   143 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70   144 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19   145 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19   146 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26   147 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26   148 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47   149 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47   150 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90   151 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90   152 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58   153 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58   154 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9   155 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9   156 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72   157 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72   158 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33   159 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33   160 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75   161 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75   162 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81   163 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81   164 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   165 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   166 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   167 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   168 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   169 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   170 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   171 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   172 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   173 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   174 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   175 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   176 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   177 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   178 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   179 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   180 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   181 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   182 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   183 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   184 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   185 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   186 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   187 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   188 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   189 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   190 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   191 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   192 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   193 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   194 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   195 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   196 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   197 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   198 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   199 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
 
 do_execsql_test 1.7.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+} {1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   21 {}   22 {}   23 {}   24 {}   25 {}   26 {}   27 {}   28 {}   29 {}   30 {}   31 {}   32 {}   33 {}   34 {}   35 {}   36 {}   37 {}   38 {}   39 {}   40 {}   41 {}   42 {}   43 {}   44 {}   45 {}   46 {}   47 {}   48 {}   49 {}   50 {}   51 {}   52 {}   53 {}   54 {}   55 {}   56 {}   57 {}   58 {}   59 {}   60 {}   61 {}   62 {}   63 {}   64 {}   65 {}   66 {}   67 {}   68 {}   69 {}   70 {}   71 {}   72 {}   73 {}   74 {}   75 {}   76 {}   77 {}   78 {}   79 {}   80 {}   81 {}   82 {}   83 {}   84 {}   85 {}   86 {}   87 {}   88 {}   89 {}   90 {}   91 {}   92 {}   93 {}   94 {}   95 {}   96 {}   97 {}   98 {}   99 {}   100 {}   101 {}   102 {}   103 {}   104 {}   105 {}   106 {}   107 {}   108 {}   109 {}   110 {}   111 {}   112 {}   113 {}   114 {}   115 {}   116 {}   117 {}   118 {}   119 {}   120 {}   121 {}   122 {}   123 {}   124 {}   125 {}   126 {}   127 {}   128 {}   129 {}   130 {}   131 {}   132 {}   133 {}   134 {}   135 {}   136 {}   137 {}   138 {}   139 {}   140 {}   141 {}   142 {}   143 {}   144 {}   145 {}   146 {}   147 {}   148 {}   149 {}   150 {}   151 {}   152 {}   153 {}   154 {}   155 {}   156 {}   157 {}   158 {}   159 {}   160 {}   161 {}   162 {}   163 {}   164 {}   165 {}   166 {}   167 {}   168 {}   169 {}   170 {}   171 {}   172 {}   173 {}   174 {}   175 {}   176 {}   177 {}   178 {}   179 {}   180 {}   181 {}   182 {}   183 {}   184 {}   185 {}   186 {}   187 {}   188 {}   189 {}   190 {}   191 {}   192 {}   193 {}   194 {}   195 {}   196 {}   197 {}   198 {}   199 {}   200 {}}
 
 do_execsql_test 1.7.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+} {1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}}
 
 do_execsql_test 1.7.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) FROM t2
-} {89   89.6   89.6.29   89.6.29.47   89.6.29.47.59   89.6.29.47.59.28   89.6.29.47.59.28.75   89.6.29.47.59.28.75.78   89.6.29.47.59.28.75.78.72   89.6.29.47.59.28.75.78.72.98   89.6.29.47.59.28.75.78.72.98.87   89.6.29.47.59.28.75.78.72.98.87.73   89.6.29.47.59.28.75.78.72.98.87.73.96   89.6.29.47.59.28.75.78.72.98.87.73.96.74   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.96   74.96.97   74.96.97.84   74.96.97.84.86   74.96.97.84.86.32   74.96.97.84.86.32.25   74.96.97.84.86.32.25.89   74.96.97.84.86.32.25.89.29   74.96.97.84.86.32.25.89.29.9   74.96.97.84.86.32.25.89.29.9.21   74.96.97.84.86.32.25.89.29.9.21.12   74.96.97.84.86.32.25.89.29.9.21.12.88   74.96.97.84.86.32.25.89.29.9.21.12.88.55   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.38   74.38.46   74.38.46.23   74.38.46.23.61   74.38.46.23.61.3   74.38.46.23.61.3.1   74.38.46.23.61.3.1.76   74.38.46.23.61.3.1.76.63   74.38.46.23.61.3.1.76.63.73   74.38.46.23.61.3.1.76.63.73.65   74.38.46.23.61.3.1.76.63.73.65.20   74.38.46.23.61.3.1.76.63.73.65.20.8   74.38.46.23.61.3.1.76.63.73.65.20.8.77   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   99.39   99.39.54   99.39.54.16   99.39.54.16.85   99.39.54.16.85.22   99.39.54.16.85.22.40   99.39.54.16.85.22.40.4   99.39.54.16.85.22.40.4.87   99.39.54.16.85.22.40.4.87.65   99.39.54.16.85.22.40.4.87.65.5   99.39.54.16.85.22.40.4.87.65.5.31   99.39.54.16.85.22.40.4.87.65.5.31.49   99.39.54.16.85.22.40.4.87.65.5.31.49.2   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33.91   33.91.8   33.91.8.65   33.91.8.65.85   33.91.8.65.85.55   33.91.8.65.85.55.56   33.91.8.65.85.55.56.42   33.91.8.65.85.55.56.42.80   33.91.8.65.85.55.56.42.80.58   33.91.8.65.85.55.56.42.80.58.11   33.91.8.65.85.55.56.42.80.58.11.95   33.91.8.65.85.55.56.42.80.58.11.95.90   33.91.8.65.85.55.56.42.80.58.11.95.90.85   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW)
+} {1 89   2 89.6   3 89.6.29   4 89.6.29.47   5 89.6.29.47.59   6 89.6.29.47.59.28   7 89.6.29.47.59.28.75   8 89.6.29.47.59.28.75.78   9 89.6.29.47.59.28.75.78.72   10 89.6.29.47.59.28.75.78.72.98   11 89.6.29.47.59.28.75.78.72.98.87   12 89.6.29.47.59.28.75.78.72.98.87.73   13 89.6.29.47.59.28.75.78.72.98.87.73.96   14 89.6.29.47.59.28.75.78.72.98.87.73.96.74   15 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   16 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   17 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91   18 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69   19 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 74   2 74.96   3 74.96.97   4 74.96.97.84   5 74.96.97.84.86   6 74.96.97.84.86.32   7 74.96.97.84.86.32.25   8 74.96.97.84.86.32.25.89   9 74.96.97.84.86.32.25.89.29   10 74.96.97.84.86.32.25.89.29.9   11 74.96.97.84.86.32.25.89.29.9.21   12 74.96.97.84.86.32.25.89.29.9.21.12   13 74.96.97.84.86.32.25.89.29.9.21.12.88   14 74.96.97.84.86.32.25.89.29.9.21.12.88.55   15 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   16 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   17 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81   18 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91   19 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 74   2 74.38   3 74.38.46   4 74.38.46.23   5 74.38.46.23.61   6 74.38.46.23.61.3   7 74.38.46.23.61.3.1   8 74.38.46.23.61.3.1.76   9 74.38.46.23.61.3.1.76.63   10 74.38.46.23.61.3.1.76.63.73   11 74.38.46.23.61.3.1.76.63.73.65   12 74.38.46.23.61.3.1.76.63.73.65.20   13 74.38.46.23.61.3.1.76.63.73.65.20.8   14 74.38.46.23.61.3.1.76.63.73.65.20.8.77   15 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   16 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   17 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23   18 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15   19 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 99   2 99.39   3 99.39.54   4 99.39.54.16   5 99.39.54.16.85   6 99.39.54.16.85.22   7 99.39.54.16.85.22.40   8 99.39.54.16.85.22.40.4   9 99.39.54.16.85.22.40.4.87   10 99.39.54.16.85.22.40.4.87.65   11 99.39.54.16.85.22.40.4.87.65.5   12 99.39.54.16.85.22.40.4.87.65.5.31   13 99.39.54.16.85.22.40.4.87.65.5.31.49   14 99.39.54.16.85.22.40.4.87.65.5.31.49.2   15 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   16 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   17 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13   18 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36   19 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   1 33   2 33.91   3 33.91.8   4 33.91.8.65   5 33.91.8.65.85   6 33.91.8.65.85.55   7 33.91.8.65.85.55.56   8 33.91.8.65.85.55.56.42   9 33.91.8.65.85.55.56.42.80   10 33.91.8.65.85.55.56.42.80.58   11 33.91.8.65.85.55.56.42.80.58.11   12 33.91.8.65.85.55.56.42.80.58.11.95   13 33.91.8.65.85.55.56.42.80.58.11.95.90   14 33.91.8.65.85.55.56.42.80.58.11.95.90.85   15 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   16 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   17 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14   18 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3   19 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   1 {}   2 {}   3 {}   4 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}}
 
 do_execsql_test 1.8.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW ) FROM t2
@@ -3175,24 +3203,28 @@ do_execsql_test 1.8.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.8.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
-} {{}   74   74   74.74   74.74   74.74.99   74.99   74.99.33   99.33   99.33.89   33.89   33.89.96   89.96   89.96.38   96.38   96.38.39   38.39   38.39.91   39.91   39.91.6   91.6   91.6.97   6.97   6.97.46   97.46   97.46.54   46.54   46.54.8   54.8   54.8.29   8.29   8.29.84   29.84   29.84.23   84.23   84.23.16   23.16   23.16.65   16.65   16.65.47   65.47   65.47.86   47.86   47.86.61   86.61   86.61.85   61.85   61.85.85   85.85   85.85.59   85.59   85.59.32   59.32   59.32.3   32.3   32.3.22   3.22   3.22.55   22.55   22.55.28   55.28   55.28.25   28.25   28.25.1   25.1   25.1.40   1.40   1.40.56   40.56   40.56.75   56.75   56.75.89   75.89   75.89.76   89.76   89.76.4   76.4   76.4.42   4.42   4.42.78   42.78   42.78.29   78.29   78.29.63   29.63   29.63.87   63.87   63.87.80   87.80   87.80.72   80.72   80.72.9   72.9   72.9.73   9.73   9.73.65   73.65   73.65.58   65.58   65.58.98   58.98   58.98.21   98.21   98.21.65   21.65   21.65.5   65.5   65.5.11   5.11   5.11.87   11.87   11.87.12   87.12   87.12.20   12.20   12.20.31   20.31   20.31.95   31.95   31.95.73   95.73   95.73.88   73.88   73.88.8   88.8   88.8.49   8.49   8.49.90   49.90   49.90.96   90.96   90.96.55   96.55   96.55.77   55.77   55.77.2   77.2   77.2.85   2.85   2.85.74   85.74   85.74.70   74.70   74.70.19   70.19   70.19.26   19.26   19.26.47   26.47   26.47.90   47.90   47.90.58   90.58   90.58.9   58.9   58.9.72   9.72   9.72.33   72.33   72.33.75   33.75   33.75.81   75.81   75.81.23   81.23   81.23.13   23.13   23.13.14   13.14   13.14.91   14.91   14.91.91   91.91   91.91.15   91.15   91.15.36   15.36   15.36.3   36.3   36.3.69   3.69   3.69.52   69.52   69.52.50   52.50   52.50.10   50.10   50.10.33   10.33   10.33.39   33.39   33.39.58   39.58   39.58.38   58.38   58.38.83   38.83   38.83.82   83.82   83.82.7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW)
+} {1 {}   2 74   3 74   4 74.74   5 74.74   5 74.74.99   5 74.99   5 74.99.33   5 99.33   5 99.33.89   5 33.89   5 33.89.96   5 89.96   5 89.96.38   5 96.38   5 96.38.39   5 38.39   5 38.39.91   5 39.91   5 39.91.6   5 91.6   5 91.6.97   5 6.97   5 6.97.46   5 97.46   5 97.46.54   5 46.54   5 46.54.8   5 54.8   5 54.8.29   5 8.29   5 8.29.84   5 29.84   5 29.84.23   5 84.23   5 84.23.16   5 23.16   5 23.16.65   5 16.65   5 16.65.47   5 65.47   5 65.47.86   5 47.86   5 47.86.61   5 86.61   5 86.61.85   5 61.85   5 61.85.85   5 85.85   5 85.85.59   5 85.59   5 85.59.32   5 59.32   5 59.32.3   5 32.3   5 32.3.22   5 3.22   5 3.22.55   5 22.55   5 22.55.28   5 55.28   5 55.28.25   5 28.25   5 28.25.1   5 25.1   5 25.1.40   5 1.40   5 1.40.56   5 40.56   5 40.56.75   5 56.75   5 56.75.89   5 75.89   5 75.89.76   5 89.76   5 89.76.4   5 76.4   5 76.4.42   5 4.42   5 4.42.78   5 42.78   5 42.78.29   5 78.29   5 78.29.63   5 29.63   5 29.63.87   5 63.87   5 63.87.80   5 87.80   5 87.80.72   5 80.72   5 80.72.9   5 72.9   5 72.9.73   5 9.73   5 9.73.65   5 73.65   5 73.65.58   5 65.58   5 65.58.98   5 58.98   5 58.98.21   5 98.21   5 98.21.65   5 21.65   5 21.65.5   5 65.5   5 65.5.11   5 5.11   5 5.11.87   5 11.87   5 11.87.12   5 87.12   5 87.12.20   5 12.20   5 12.20.31   5 20.31   5 20.31.95   5 31.95   5 31.95.73   5 95.73   5 95.73.88   5 73.88   5 73.88.8   5 88.8   5 88.8.49   5 8.49   5 8.49.90   5 49.90   5 49.90.96   5 90.96   5 90.96.55   5 96.55   5 96.55.77   5 55.77   5 55.77.2   5 77.2   5 77.2.85   5 2.85   5 2.85.74   5 85.74   5 85.74.70   5 74.70   5 74.70.19   5 70.19   5 70.19.26   5 19.26   5 19.26.47   5 26.47   5 26.47.90   5 47.90   5 47.90.58   5 90.58   5 90.58.9   5 58.9   5 58.9.72   5 9.72   5 9.72.33   5 72.33   5 72.33.75   5 33.75   5 33.75.81   5 75.81   5 75.81.23   5 81.23   5 81.23.13   5 23.13   5 23.13.14   5 13.14   5 13.14.91   5 14.91   5 14.91.91   5 91.91   5 91.91.15   5 91.15   5 91.15.36   5 15.36   5 15.36.3   5 36.3   5 36.3.69   5 3.69   5 3.69.52   5 69.52   5 69.52.50   5 52.50   5 52.50.10   5 50.10   5 50.10.33   5 10.33   5 10.33.39   5 33.39   5 33.39.58   5 39.58   5 39.58.38   5 58.38   5 58.38.83   5 38.83   5 38.83.82   5 83.82   5 83.82.7}
 
 do_execsql_test 1.8.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW)
+} {1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}}
 
 do_execsql_test 1.8.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW)
+} {1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}}
 
 do_execsql_test 1.8.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW) FROM t2
-} {89   89.6   89.6.29   89.6.29.47   89.6.29.47.59   6.29.47.59.28   29.47.59.28.75   47.59.28.75.78   59.28.75.78.72   28.75.78.72.98   75.78.72.98.87   78.72.98.87.73   72.98.87.73.96   98.87.73.96.74   87.73.96.74.90   73.96.74.90.75   96.74.90.75.91   74.90.75.91.69   90.75.91.69.39   75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.96   74.96.97   74.96.97.84   74.96.97.84.86   96.97.84.86.32   97.84.86.32.25   84.86.32.25.89   86.32.25.89.29   32.25.89.29.9   25.89.29.9.21   89.29.9.21.12   29.9.21.12.88   9.21.12.88.55   21.12.88.55.70   12.88.55.70.58   88.55.70.58.81   55.70.58.81.91   70.58.81.91.52   58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   74.38   74.38.46   74.38.46.23   74.38.46.23.61   38.46.23.61.3   46.23.61.3.1   23.61.3.1.76   61.3.1.76.63   3.1.76.63.73   1.76.63.73.65   76.63.73.65.20   63.73.65.20.8   73.65.20.8.77   65.20.8.77.19   20.8.77.19.9   8.77.19.9.23   77.19.9.23.15   19.9.23.15.50   9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   99.39   99.39.54   99.39.54.16   99.39.54.16.85   39.54.16.85.22   54.16.85.22.40   16.85.22.40.4   85.22.40.4.87   22.40.4.87.65   40.4.87.65.5   4.87.65.5.31   87.65.5.31.49   65.5.31.49.2   5.31.49.2.26   31.49.2.26.72   49.2.26.72.13   2.26.72.13.36   26.72.13.36.10   72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   33.91   33.91.8   33.91.8.65   33.91.8.65.85   91.8.65.85.55   8.65.85.55.56   65.85.55.56.42   85.55.56.42.80   55.56.42.80.58   56.42.80.58.11   42.80.58.11.95   80.58.11.95.90   58.11.95.90.85   11.95.90.85.47   95.90.85.47.33   90.85.47.33.14   85.47.33.14.3   47.33.14.3.33   33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND CURRENT ROW)
+} {1 89   2 89.6   3 89.6.29   4 89.6.29.47   5 89.6.29.47.59   5 6.29.47.59.28   5 29.47.59.28.75   5 47.59.28.75.78   5 59.28.75.78.72   5 28.75.78.72.98   5 75.78.72.98.87   5 78.72.98.87.73   5 72.98.87.73.96   5 98.87.73.96.74   5 87.73.96.74.90   5 73.96.74.90.75   5 96.74.90.75.91   5 74.90.75.91.69   5 90.75.91.69.39   5 75.91.69.39.7   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 74   2 74.96   3 74.96.97   4 74.96.97.84   5 74.96.97.84.86   5 96.97.84.86.32   5 97.84.86.32.25   5 84.86.32.25.89   5 86.32.25.89.29   5 32.25.89.29.9   5 25.89.29.9.21   5 89.29.9.21.12   5 29.9.21.12.88   5 9.21.12.88.55   5 21.12.88.55.70   5 12.88.55.70.58   5 88.55.70.58.81   5 55.70.58.81.91   5 70.58.81.91.52   5 58.81.91.52.58   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 74   2 74.38   3 74.38.46   4 74.38.46.23   5 74.38.46.23.61   5 38.46.23.61.3   5 46.23.61.3.1   5 23.61.3.1.76   5 61.3.1.76.63   5 3.1.76.63.73   5 1.76.63.73.65   5 76.63.73.65.20   5 63.73.65.20.8   5 73.65.20.8.77   5 65.20.8.77.19   5 20.8.77.19.9   5 8.77.19.9.23   5 77.19.9.23.15   5 19.9.23.15.50   5 9.23.15.50.38   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 99   2 99.39   3 99.39.54   4 99.39.54.16   5 99.39.54.16.85   5 39.54.16.85.22   5 54.16.85.22.40   5 16.85.22.40.4   5 85.22.40.4.87   5 22.40.4.87.65   5 40.4.87.65.5   5 4.87.65.5.31   5 87.65.5.31.49   5 65.5.31.49.2   5 5.31.49.2.26   5 31.49.2.26.72   5 49.2.26.72.13   5 2.26.72.13.36   5 26.72.13.36.10   5 72.13.36.10.83   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   1 33   2 33.91   3 33.91.8   4 33.91.8.65   5 33.91.8.65.85   5 91.8.65.85.55   5 8.65.85.55.56   5 65.85.55.56.42   5 85.55.56.42.80   5 55.56.42.80.58   5 56.42.80.58.11   5 42.80.58.11.95   5 80.58.11.95.90   5 58.11.95.90.85   5 11.95.90.85.47   5 95.90.85.47.33   5 90.85.47.33.14   5 85.47.33.14.3   5 47.33.14.3.33   5 33.14.3.33.82   1 {}   2 {}   3 {}   4 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}}
 
 do_execsql_test 1.9.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW ) FROM t2
@@ -3567,24 +3599,28 @@ do_execsql_test 1.9.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.9.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
-} {{}   74   {}   74   {}   99   {}   33   {}   89   {}   96   {}   38   {}   39   {}   91   {}   6   {}   97   {}   46   {}   54   {}   8   {}   29   {}   84   {}   23   {}   16   {}   65   {}   47   {}   86   {}   61   {}   85   {}   85   {}   59   {}   32   {}   3   {}   22   {}   55   {}   28   {}   25   {}   1   {}   40   {}   56   {}   75   {}   89   {}   76   {}   4   {}   42   {}   78   {}   29   {}   63   {}   87   {}   80   {}   72   {}   9   {}   73   {}   65   {}   58   {}   98   {}   21   {}   65   {}   5   {}   11   {}   87   {}   12   {}   20   {}   31   {}   95   {}   73   {}   88   {}   8   {}   49   {}   90   {}   96   {}   55   {}   77   {}   2   {}   85   {}   74   {}   70   {}   19   {}   26   {}   47   {}   90   {}   58   {}   9   {}   72   {}   33   {}   75   {}   81   {}   23   {}   13   {}   14   {}   91   {}   91   {}   15   {}   36   {}   3   {}   69   {}   52   {}   50   {}   10   {}   33   {}   39   {}   58   {}   38   {}   83   {}   82   {}   7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW)
+} {1 {}   1 74   1 {}   1 74   1 {}   1 99   1 {}   1 33   1 {}   1 89   1 {}   1 96   1 {}   1 38   1 {}   1 39   1 {}   1 91   1 {}   1 6   1 {}   1 97   1 {}   1 46   1 {}   1 54   1 {}   1 8   1 {}   1 29   1 {}   1 84   1 {}   1 23   1 {}   1 16   1 {}   1 65   1 {}   1 47   1 {}   1 86   1 {}   1 61   1 {}   1 85   1 {}   1 85   1 {}   1 59   1 {}   1 32   1 {}   1 3   1 {}   1 22   1 {}   1 55   1 {}   1 28   1 {}   1 25   1 {}   1 1   1 {}   1 40   1 {}   1 56   1 {}   1 75   1 {}   1 89   1 {}   1 76   1 {}   1 4   1 {}   1 42   1 {}   1 78   1 {}   1 29   1 {}   1 63   1 {}   1 87   1 {}   1 80   1 {}   1 72   1 {}   1 9   1 {}   1 73   1 {}   1 65   1 {}   1 58   1 {}   1 98   1 {}   1 21   1 {}   1 65   1 {}   1 5   1 {}   1 11   1 {}   1 87   1 {}   1 12   1 {}   1 20   1 {}   1 31   1 {}   1 95   1 {}   1 73   1 {}   1 88   1 {}   1 8   1 {}   1 49   1 {}   1 90   1 {}   1 96   1 {}   1 55   1 {}   1 77   1 {}   1 2   1 {}   1 85   1 {}   1 74   1 {}   1 70   1 {}   1 19   1 {}   1 26   1 {}   1 47   1 {}   1 90   1 {}   1 58   1 {}   1 9   1 {}   1 72   1 {}   1 33   1 {}   1 75   1 {}   1 81   1 {}   1 23   1 {}   1 13   1 {}   1 14   1 {}   1 91   1 {}   1 91   1 {}   1 15   1 {}   1 36   1 {}   1 3   1 {}   1 69   1 {}   1 52   1 {}   1 50   1 {}   1 10   1 {}   1 33   1 {}   1 39   1 {}   1 58   1 {}   1 38   1 {}   1 83   1 {}   1 82   1 {}   1 7}
 
 do_execsql_test 1.9.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW)
+} {1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}}
 
 do_execsql_test 1.9.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW)
+} {1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}}
 
 do_execsql_test 1.9.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW) FROM t2
-} {89   6   29   47   59   28   75   78   72   98   87   73   96   74   90   75   91   69   39   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   96   97   84   86   32   25   89   29   9   21   12   88   55   70   58   81   91   52   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74   38   46   23   61   3   1   76   63   73   65   20   8   77   19   9   23   15   50   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99   39   54   16   85   22   40   4   87   65   5   31   49   2   26   72   13   36   10   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33   91   8   65   85   55   56   42   80   58   11   95   90   85   47   33   14   3   33   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND CURRENT ROW)
+} {1 89   1 6   1 29   1 47   1 59   1 28   1 75   1 78   1 72   1 98   1 87   1 73   1 96   1 74   1 90   1 75   1 91   1 69   1 39   1 7   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 74   1 96   1 97   1 84   1 86   1 32   1 25   1 89   1 29   1 9   1 21   1 12   1 88   1 55   1 70   1 58   1 81   1 91   1 52   1 58   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 74   1 38   1 46   1 23   1 61   1 3   1 1   1 76   1 63   1 73   1 65   1 20   1 8   1 77   1 19   1 9   1 23   1 15   1 50   1 38   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 99   1 39   1 54   1 16   1 85   1 22   1 40   1 4   1 87   1 65   1 5   1 31   1 49   1 2   1 26   1 72   1 13   1 36   1 10   1 83   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 33   1 91   1 8   1 65   1 85   1 55   1 56   1 42   1 80   1 58   1 11   1 95   1 90   1 85   1 47   1 33   1 14   1 3   1 33   1 82   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}   1 {}}
 
 do_execsql_test 1.10.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING ) FROM t2
@@ -3959,24 +3995,28 @@ do_execsql_test 1.10.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.10.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
-} {74.74   74.74.99   74.74.99   74.74.99.33   74.74.99.33   74.74.99.33.89   74.74.99.33.89   74.74.99.33.89.96   74.74.99.33.89.96   74.74.99.33.89.96.38   74.74.99.33.89.96.38   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING)
+} {5 74.74   6 74.74.99   7 74.74.99   8 74.74.99.33   9 74.74.99.33   10 74.74.99.33.89   11 74.74.99.33.89   12 74.74.99.33.89.96   13 74.74.99.33.89.96   14 74.74.99.33.89.96.38   15 74.74.99.33.89.96.38   16 74.74.99.33.89.96.38.39   17 74.74.99.33.89.96.38.39   18 74.74.99.33.89.96.38.39.91   19 74.74.99.33.89.96.38.39.91   20 74.74.99.33.89.96.38.39.91.6   21 74.74.99.33.89.96.38.39.91.6   22 74.74.99.33.89.96.38.39.91.6.97   23 74.74.99.33.89.96.38.39.91.6.97   24 74.74.99.33.89.96.38.39.91.6.97.46   25 74.74.99.33.89.96.38.39.91.6.97.46   26 74.74.99.33.89.96.38.39.91.6.97.46.54   27 74.74.99.33.89.96.38.39.91.6.97.46.54   28 74.74.99.33.89.96.38.39.91.6.97.46.54.8   29 74.74.99.33.89.96.38.39.91.6.97.46.54.8   30 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   31 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29   32 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   33 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84   34 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   35 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23   36 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   37 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16   38 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   39 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65   40 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   41 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47   42 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   43 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86   44 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   45 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61   46 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   47 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85   48 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   49 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85   50 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   51 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59   52 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   53 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32   54 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   55 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3   56 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   57 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22   58 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   59 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55   60 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   61 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28   62 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   63 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25   64 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   65 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1   66 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   67 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40   68 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   69 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56   70 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   71 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75   72 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   73 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89   74 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   75 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76   76 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   77 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4   78 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   79 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42   80 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   81 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78   82 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   83 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29   84 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   85 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63   86 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   87 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87   88 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   89 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80   90 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   91 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72   92 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   93 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9   94 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   95 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73   96 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   97 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65   98 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   99 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58   100 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   101 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98   102 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   103 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21   104 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   105 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65   106 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   107 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5   108 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   109 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11   110 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   111 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87   112 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   113 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12   114 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   115 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20   116 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   117 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31   118 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   119 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95   120 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73   121 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73   122 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88   123 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88   124 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8   125 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8   126 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49   127 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49   128 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90   129 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90   130 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96   131 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96   132 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55   133 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55   134 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77   135 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77   136 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2   137 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2   138 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85   139 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85   140 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74   141 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74   142 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70   143 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70   144 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19   145 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19   146 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26   147 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26   148 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47   149 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47   150 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90   151 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90   152 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58   153 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58   154 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9   155 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9   156 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72   157 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72   158 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33   159 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33   160 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75   161 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75   162 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81   163 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81   164 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   165 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23   166 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   167 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13   168 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   169 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14   170 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   171 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91   172 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   173 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91   174 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   175 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15   176 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   177 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36   178 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   179 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3   180 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   181 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69   182 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   183 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52   184 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   185 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50   186 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   187 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10   188 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   189 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33   190 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   191 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39   192 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   193 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58   194 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   195 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38   196 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   197 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83   198 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   199 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
 
 do_execsql_test 1.10.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING)
+} {5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   21 {}   22 {}   23 {}   24 {}   25 {}   26 {}   27 {}   28 {}   29 {}   30 {}   31 {}   32 {}   33 {}   34 {}   35 {}   36 {}   37 {}   38 {}   39 {}   40 {}   41 {}   42 {}   43 {}   44 {}   45 {}   46 {}   47 {}   48 {}   49 {}   50 {}   51 {}   52 {}   53 {}   54 {}   55 {}   56 {}   57 {}   58 {}   59 {}   60 {}   61 {}   62 {}   63 {}   64 {}   65 {}   66 {}   67 {}   68 {}   69 {}   70 {}   71 {}   72 {}   73 {}   74 {}   75 {}   76 {}   77 {}   78 {}   79 {}   80 {}   81 {}   82 {}   83 {}   84 {}   85 {}   86 {}   87 {}   88 {}   89 {}   90 {}   91 {}   92 {}   93 {}   94 {}   95 {}   96 {}   97 {}   98 {}   99 {}   100 {}   101 {}   102 {}   103 {}   104 {}   105 {}   106 {}   107 {}   108 {}   109 {}   110 {}   111 {}   112 {}   113 {}   114 {}   115 {}   116 {}   117 {}   118 {}   119 {}   120 {}   121 {}   122 {}   123 {}   124 {}   125 {}   126 {}   127 {}   128 {}   129 {}   130 {}   131 {}   132 {}   133 {}   134 {}   135 {}   136 {}   137 {}   138 {}   139 {}   140 {}   141 {}   142 {}   143 {}   144 {}   145 {}   146 {}   147 {}   148 {}   149 {}   150 {}   151 {}   152 {}   153 {}   154 {}   155 {}   156 {}   157 {}   158 {}   159 {}   160 {}   161 {}   162 {}   163 {}   164 {}   165 {}   166 {}   167 {}   168 {}   169 {}   170 {}   171 {}   172 {}   173 {}   174 {}   175 {}   176 {}   177 {}   178 {}   179 {}   180 {}   181 {}   182 {}   183 {}   184 {}   185 {}   186 {}   187 {}   188 {}   189 {}   190 {}   191 {}   192 {}   193 {}   194 {}   195 {}   196 {}   197 {}   198 {}   199 {}   200 {}   200 {}   200 {}   200 {}   200 {}}
 
 do_execsql_test 1.10.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING)
+} {5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}}
 
 do_execsql_test 1.10.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING) FROM t2
-} {89.6.29.47.59   89.6.29.47.59.28   89.6.29.47.59.28.75   89.6.29.47.59.28.75.78   89.6.29.47.59.28.75.78.72   89.6.29.47.59.28.75.78.72.98   89.6.29.47.59.28.75.78.72.98.87   89.6.29.47.59.28.75.78.72.98.87.73   89.6.29.47.59.28.75.78.72.98.87.73.96   89.6.29.47.59.28.75.78.72.98.87.73.96.74   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86   74.96.97.84.86.32   74.96.97.84.86.32.25   74.96.97.84.86.32.25.89   74.96.97.84.86.32.25.89.29   74.96.97.84.86.32.25.89.29.9   74.96.97.84.86.32.25.89.29.9.21   74.96.97.84.86.32.25.89.29.9.21.12   74.96.97.84.86.32.25.89.29.9.21.12.88   74.96.97.84.86.32.25.89.29.9.21.12.88.55   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61   74.38.46.23.61.3   74.38.46.23.61.3.1   74.38.46.23.61.3.1.76   74.38.46.23.61.3.1.76.63   74.38.46.23.61.3.1.76.63.73   74.38.46.23.61.3.1.76.63.73.65   74.38.46.23.61.3.1.76.63.73.65.20   74.38.46.23.61.3.1.76.63.73.65.20.8   74.38.46.23.61.3.1.76.63.73.65.20.8.77   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85   99.39.54.16.85.22   99.39.54.16.85.22.40   99.39.54.16.85.22.40.4   99.39.54.16.85.22.40.4.87   99.39.54.16.85.22.40.4.87.65   99.39.54.16.85.22.40.4.87.65.5   99.39.54.16.85.22.40.4.87.65.5.31   99.39.54.16.85.22.40.4.87.65.5.31.49   99.39.54.16.85.22.40.4.87.65.5.31.49.2   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85   33.91.8.65.85.55   33.91.8.65.85.55.56   33.91.8.65.85.55.56.42   33.91.8.65.85.55.56.42.80   33.91.8.65.85.55.56.42.80.58   33.91.8.65.85.55.56.42.80.58.11   33.91.8.65.85.55.56.42.80.58.11.95   33.91.8.65.85.55.56.42.80.58.11.95.90   33.91.8.65.85.55.56.42.80.58.11.95.90.85   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND 4 FOLLOWING)
+} {5 89.6.29.47.59   6 89.6.29.47.59.28   7 89.6.29.47.59.28.75   8 89.6.29.47.59.28.75.78   9 89.6.29.47.59.28.75.78.72   10 89.6.29.47.59.28.75.78.72.98   11 89.6.29.47.59.28.75.78.72.98.87   12 89.6.29.47.59.28.75.78.72.98.87.73   13 89.6.29.47.59.28.75.78.72.98.87.73.96   14 89.6.29.47.59.28.75.78.72.98.87.73.96.74   15 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90   16 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75   17 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91   18 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69   19 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 74.96.97.84.86   6 74.96.97.84.86.32   7 74.96.97.84.86.32.25   8 74.96.97.84.86.32.25.89   9 74.96.97.84.86.32.25.89.29   10 74.96.97.84.86.32.25.89.29.9   11 74.96.97.84.86.32.25.89.29.9.21   12 74.96.97.84.86.32.25.89.29.9.21.12   13 74.96.97.84.86.32.25.89.29.9.21.12.88   14 74.96.97.84.86.32.25.89.29.9.21.12.88.55   15 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70   16 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58   17 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81   18 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91   19 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 74.38.46.23.61   6 74.38.46.23.61.3   7 74.38.46.23.61.3.1   8 74.38.46.23.61.3.1.76   9 74.38.46.23.61.3.1.76.63   10 74.38.46.23.61.3.1.76.63.73   11 74.38.46.23.61.3.1.76.63.73.65   12 74.38.46.23.61.3.1.76.63.73.65.20   13 74.38.46.23.61.3.1.76.63.73.65.20.8   14 74.38.46.23.61.3.1.76.63.73.65.20.8.77   15 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19   16 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9   17 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23   18 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15   19 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 99.39.54.16.85   6 99.39.54.16.85.22   7 99.39.54.16.85.22.40   8 99.39.54.16.85.22.40.4   9 99.39.54.16.85.22.40.4.87   10 99.39.54.16.85.22.40.4.87.65   11 99.39.54.16.85.22.40.4.87.65.5   12 99.39.54.16.85.22.40.4.87.65.5.31   13 99.39.54.16.85.22.40.4.87.65.5.31.49   14 99.39.54.16.85.22.40.4.87.65.5.31.49.2   15 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26   16 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72   17 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13   18 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36   19 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}   5 33.91.8.65.85   6 33.91.8.65.85.55   7 33.91.8.65.85.55.56   8 33.91.8.65.85.55.56.42   9 33.91.8.65.85.55.56.42.80   10 33.91.8.65.85.55.56.42.80.58   11 33.91.8.65.85.55.56.42.80.58.11   12 33.91.8.65.85.55.56.42.80.58.11.95   13 33.91.8.65.85.55.56.42.80.58.11.95.90   14 33.91.8.65.85.55.56.42.80.58.11.95.90.85   15 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47   16 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33   17 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14   18 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3   19 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   5 {}   6 {}   7 {}   8 {}   9 {}   10 {}   11 {}   12 {}   13 {}   14 {}   15 {}   16 {}   17 {}   18 {}   19 {}   20 {}   20 {}   20 {}   20 {}   20 {}}
 
 do_execsql_test 1.11.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING ) FROM t2
@@ -4351,24 +4391,28 @@ do_execsql_test 1.11.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.11.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
-} {74   74.74   74.74   74.74.99   74.74.99   74.74.99.33   74.99.33   74.99.33.89   99.33.89   99.33.89.96   33.89.96   33.89.96.38   89.96.38   89.96.38.39   96.38.39   96.38.39.91   38.39.91   38.39.91.6   39.91.6   39.91.6.97   91.6.97   91.6.97.46   6.97.46   6.97.46.54   97.46.54   97.46.54.8   46.54.8   46.54.8.29   54.8.29   54.8.29.84   8.29.84   8.29.84.23   29.84.23   29.84.23.16   84.23.16   84.23.16.65   23.16.65   23.16.65.47   16.65.47   16.65.47.86   65.47.86   65.47.86.61   47.86.61   47.86.61.85   86.61.85   86.61.85.85   61.85.85   61.85.85.59   85.85.59   85.85.59.32   85.59.32   85.59.32.3   59.32.3   59.32.3.22   32.3.22   32.3.22.55   3.22.55   3.22.55.28   22.55.28   22.55.28.25   55.28.25   55.28.25.1   28.25.1   28.25.1.40   25.1.40   25.1.40.56   1.40.56   1.40.56.75   40.56.75   40.56.75.89   56.75.89   56.75.89.76   75.89.76   75.89.76.4   89.76.4   89.76.4.42   76.4.42   76.4.42.78   4.42.78   4.42.78.29   42.78.29   42.78.29.63   78.29.63   78.29.63.87   29.63.87   29.63.87.80   63.87.80   63.87.80.72   87.80.72   87.80.72.9   80.72.9   80.72.9.73   72.9.73   72.9.73.65   9.73.65   9.73.65.58   73.65.58   73.65.58.98   65.58.98   65.58.98.21   58.98.21   58.98.21.65   98.21.65   98.21.65.5   21.65.5   21.65.5.11   65.5.11   65.5.11.87   5.11.87   5.11.87.12   11.87.12   11.87.12.20   87.12.20   87.12.20.31   12.20.31   12.20.31.95   20.31.95   20.31.95.73   31.95.73   31.95.73.88   95.73.88   95.73.88.8   73.88.8   73.88.8.49   88.8.49   88.8.49.90   8.49.90   8.49.90.96   49.90.96   49.90.96.55   90.96.55   90.96.55.77   96.55.77   96.55.77.2   55.77.2   55.77.2.85   77.2.85   77.2.85.74   2.85.74   2.85.74.70   85.74.70   85.74.70.19   74.70.19   74.70.19.26   70.19.26   70.19.26.47   19.26.47   19.26.47.90   26.47.90   26.47.90.58   47.90.58   47.90.58.9   90.58.9   90.58.9.72   58.9.72   58.9.72.33   9.72.33   9.72.33.75   72.33.75   72.33.75.81   33.75.81   33.75.81.23   75.81.23   75.81.23.13   81.23.13   81.23.13.14   23.13.14   23.13.14.91   13.14.91   13.14.91.91   14.91.91   14.91.91.15   91.91.15   91.91.15.36   91.15.36   91.15.36.3   15.36.3   15.36.3.69   36.3.69   36.3.69.52   3.69.52   3.69.52.50   69.52.50   69.52.50.10   52.50.10   52.50.10.33   50.10.33   50.10.33.39   10.33.39   10.33.39.58   33.39.58   33.39.58.38   39.58.38   39.58.38.83   58.38.83   58.38.83.82   38.83.82   38.83.82.7   83.82.7   83.82.7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING)
+} {3 74   4 74.74   5 74.74   6 74.74.99   7 74.74.99   7 74.74.99.33   7 74.99.33   7 74.99.33.89   7 99.33.89   7 99.33.89.96   7 33.89.96   7 33.89.96.38   7 89.96.38   7 89.96.38.39   7 96.38.39   7 96.38.39.91   7 38.39.91   7 38.39.91.6   7 39.91.6   7 39.91.6.97   7 91.6.97   7 91.6.97.46   7 6.97.46   7 6.97.46.54   7 97.46.54   7 97.46.54.8   7 46.54.8   7 46.54.8.29   7 54.8.29   7 54.8.29.84   7 8.29.84   7 8.29.84.23   7 29.84.23   7 29.84.23.16   7 84.23.16   7 84.23.16.65   7 23.16.65   7 23.16.65.47   7 16.65.47   7 16.65.47.86   7 65.47.86   7 65.47.86.61   7 47.86.61   7 47.86.61.85   7 86.61.85   7 86.61.85.85   7 61.85.85   7 61.85.85.59   7 85.85.59   7 85.85.59.32   7 85.59.32   7 85.59.32.3   7 59.32.3   7 59.32.3.22   7 32.3.22   7 32.3.22.55   7 3.22.55   7 3.22.55.28   7 22.55.28   7 22.55.28.25   7 55.28.25   7 55.28.25.1   7 28.25.1   7 28.25.1.40   7 25.1.40   7 25.1.40.56   7 1.40.56   7 1.40.56.75   7 40.56.75   7 40.56.75.89   7 56.75.89   7 56.75.89.76   7 75.89.76   7 75.89.76.4   7 89.76.4   7 89.76.4.42   7 76.4.42   7 76.4.42.78   7 4.42.78   7 4.42.78.29   7 42.78.29   7 42.78.29.63   7 78.29.63   7 78.29.63.87   7 29.63.87   7 29.63.87.80   7 63.87.80   7 63.87.80.72   7 87.80.72   7 87.80.72.9   7 80.72.9   7 80.72.9.73   7 72.9.73   7 72.9.73.65   7 9.73.65   7 9.73.65.58   7 73.65.58   7 73.65.58.98   7 65.58.98   7 65.58.98.21   7 58.98.21   7 58.98.21.65   7 98.21.65   7 98.21.65.5   7 21.65.5   7 21.65.5.11   7 65.5.11   7 65.5.11.87   7 5.11.87   7 5.11.87.12   7 11.87.12   7 11.87.12.20   7 87.12.20   7 87.12.20.31   7 12.20.31   7 12.20.31.95   7 20.31.95   7 20.31.95.73   7 31.95.73   7 31.95.73.88   7 95.73.88   7 95.73.88.8   7 73.88.8   7 73.88.8.49   7 88.8.49   7 88.8.49.90   7 8.49.90   7 8.49.90.96   7 49.90.96   7 49.90.96.55   7 90.96.55   7 90.96.55.77   7 96.55.77   7 96.55.77.2   7 55.77.2   7 55.77.2.85   7 77.2.85   7 77.2.85.74   7 2.85.74   7 2.85.74.70   7 85.74.70   7 85.74.70.19   7 74.70.19   7 74.70.19.26   7 70.19.26   7 70.19.26.47   7 19.26.47   7 19.26.47.90   7 26.47.90   7 26.47.90.58   7 47.90.58   7 47.90.58.9   7 90.58.9   7 90.58.9.72   7 58.9.72   7 58.9.72.33   7 9.72.33   7 9.72.33.75   7 72.33.75   7 72.33.75.81   7 33.75.81   7 33.75.81.23   7 75.81.23   7 75.81.23.13   7 81.23.13   7 81.23.13.14   7 23.13.14   7 23.13.14.91   7 13.14.91   7 13.14.91.91   7 14.91.91   7 14.91.91.15   7 91.91.15   7 91.91.15.36   7 91.15.36   7 91.15.36.3   7 15.36.3   7 15.36.3.69   7 36.3.69   7 36.3.69.52   7 3.69.52   7 3.69.52.50   7 69.52.50   7 69.52.50.10   7 52.50.10   7 52.50.10.33   7 50.10.33   7 50.10.33.39   7 10.33.39   7 10.33.39.58   7 33.39.58   7 33.39.58.38   7 39.58.38   7 39.58.38.83   7 58.38.83   7 58.38.83.82   7 38.83.82   7 38.83.82.7   6 83.82.7   5 83.82.7}
 
 do_execsql_test 1.11.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING)
+} {3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}}
 
 do_execsql_test 1.11.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING)
+} {3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}}
 
 do_execsql_test 1.11.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING) FROM t2
-} {89.6.29   89.6.29.47   89.6.29.47.59   89.6.29.47.59.28   89.6.29.47.59.28.75   6.29.47.59.28.75.78   29.47.59.28.75.78.72   47.59.28.75.78.72.98   59.28.75.78.72.98.87   28.75.78.72.98.87.73   75.78.72.98.87.73.96   78.72.98.87.73.96.74   72.98.87.73.96.74.90   98.87.73.96.74.90.75   87.73.96.74.90.75.91   73.96.74.90.75.91.69   96.74.90.75.91.69.39   74.90.75.91.69.39.7   90.75.91.69.39.7   75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97   74.96.97.84   74.96.97.84.86   74.96.97.84.86.32   74.96.97.84.86.32.25   96.97.84.86.32.25.89   97.84.86.32.25.89.29   84.86.32.25.89.29.9   86.32.25.89.29.9.21   32.25.89.29.9.21.12   25.89.29.9.21.12.88   89.29.9.21.12.88.55   29.9.21.12.88.55.70   9.21.12.88.55.70.58   21.12.88.55.70.58.81   12.88.55.70.58.81.91   88.55.70.58.81.91.52   55.70.58.81.91.52.58   70.58.81.91.52.58   58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46   74.38.46.23   74.38.46.23.61   74.38.46.23.61.3   74.38.46.23.61.3.1   38.46.23.61.3.1.76   46.23.61.3.1.76.63   23.61.3.1.76.63.73   61.3.1.76.63.73.65   3.1.76.63.73.65.20   1.76.63.73.65.20.8   76.63.73.65.20.8.77   63.73.65.20.8.77.19   73.65.20.8.77.19.9   65.20.8.77.19.9.23   20.8.77.19.9.23.15   8.77.19.9.23.15.50   77.19.9.23.15.50.38   19.9.23.15.50.38   9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54   99.39.54.16   99.39.54.16.85   99.39.54.16.85.22   99.39.54.16.85.22.40   39.54.16.85.22.40.4   54.16.85.22.40.4.87   16.85.22.40.4.87.65   85.22.40.4.87.65.5   22.40.4.87.65.5.31   40.4.87.65.5.31.49   4.87.65.5.31.49.2   87.65.5.31.49.2.26   65.5.31.49.2.26.72   5.31.49.2.26.72.13   31.49.2.26.72.13.36   49.2.26.72.13.36.10   2.26.72.13.36.10.83   26.72.13.36.10.83   72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8   33.91.8.65   33.91.8.65.85   33.91.8.65.85.55   33.91.8.65.85.55.56   91.8.65.85.55.56.42   8.65.85.55.56.42.80   65.85.55.56.42.80.58   85.55.56.42.80.58.11   55.56.42.80.58.11.95   56.42.80.58.11.95.90   42.80.58.11.95.90.85   80.58.11.95.90.85.47   58.11.95.90.85.47.33   11.95.90.85.47.33.14   95.90.85.47.33.14.3   90.85.47.33.14.3.33   85.47.33.14.3.33.82   47.33.14.3.33.82   33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND 2 FOLLOWING)
+} {3 89.6.29   4 89.6.29.47   5 89.6.29.47.59   6 89.6.29.47.59.28   7 89.6.29.47.59.28.75   7 6.29.47.59.28.75.78   7 29.47.59.28.75.78.72   7 47.59.28.75.78.72.98   7 59.28.75.78.72.98.87   7 28.75.78.72.98.87.73   7 75.78.72.98.87.73.96   7 78.72.98.87.73.96.74   7 72.98.87.73.96.74.90   7 98.87.73.96.74.90.75   7 87.73.96.74.90.75.91   7 73.96.74.90.75.91.69   7 96.74.90.75.91.69.39   7 74.90.75.91.69.39.7   6 90.75.91.69.39.7   5 75.91.69.39.7   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 74.96.97   4 74.96.97.84   5 74.96.97.84.86   6 74.96.97.84.86.32   7 74.96.97.84.86.32.25   7 96.97.84.86.32.25.89   7 97.84.86.32.25.89.29   7 84.86.32.25.89.29.9   7 86.32.25.89.29.9.21   7 32.25.89.29.9.21.12   7 25.89.29.9.21.12.88   7 89.29.9.21.12.88.55   7 29.9.21.12.88.55.70   7 9.21.12.88.55.70.58   7 21.12.88.55.70.58.81   7 12.88.55.70.58.81.91   7 88.55.70.58.81.91.52   7 55.70.58.81.91.52.58   6 70.58.81.91.52.58   5 58.81.91.52.58   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 74.38.46   4 74.38.46.23   5 74.38.46.23.61   6 74.38.46.23.61.3   7 74.38.46.23.61.3.1   7 38.46.23.61.3.1.76   7 46.23.61.3.1.76.63   7 23.61.3.1.76.63.73   7 61.3.1.76.63.73.65   7 3.1.76.63.73.65.20   7 1.76.63.73.65.20.8   7 76.63.73.65.20.8.77   7 63.73.65.20.8.77.19   7 73.65.20.8.77.19.9   7 65.20.8.77.19.9.23   7 20.8.77.19.9.23.15   7 8.77.19.9.23.15.50   7 77.19.9.23.15.50.38   6 19.9.23.15.50.38   5 9.23.15.50.38   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 99.39.54   4 99.39.54.16   5 99.39.54.16.85   6 99.39.54.16.85.22   7 99.39.54.16.85.22.40   7 39.54.16.85.22.40.4   7 54.16.85.22.40.4.87   7 16.85.22.40.4.87.65   7 85.22.40.4.87.65.5   7 22.40.4.87.65.5.31   7 40.4.87.65.5.31.49   7 4.87.65.5.31.49.2   7 87.65.5.31.49.2.26   7 65.5.31.49.2.26.72   7 5.31.49.2.26.72.13   7 31.49.2.26.72.13.36   7 49.2.26.72.13.36.10   7 2.26.72.13.36.10.83   6 26.72.13.36.10.83   5 72.13.36.10.83   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}   3 33.91.8   4 33.91.8.65   5 33.91.8.65.85   6 33.91.8.65.85.55   7 33.91.8.65.85.55.56   7 91.8.65.85.55.56.42   7 8.65.85.55.56.42.80   7 65.85.55.56.42.80.58   7 85.55.56.42.80.58.11   7 55.56.42.80.58.11.95   7 56.42.80.58.11.95.90   7 42.80.58.11.95.90.85   7 80.58.11.95.90.85.47   7 58.11.95.90.85.47.33   7 11.95.90.85.47.33.14   7 95.90.85.47.33.14.3   7 90.85.47.33.14.3.33   7 85.47.33.14.3.33.82   6 47.33.14.3.33.82   5 33.14.3.33.82   3 {}   4 {}   5 {}   6 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   7 {}   6 {}   5 {}}
 
 do_execsql_test 1.12.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING ) FROM t2
@@ -4743,24 +4787,28 @@ do_execsql_test 1.12.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.12.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
-} {74.74   74.74.99   74.99   74.99.33   99.33   99.33.89   33.89   33.89.96   89.96   89.96.38   96.38   96.38.39   38.39   38.39.91   39.91   39.91.6   91.6   91.6.97   6.97   6.97.46   97.46   97.46.54   46.54   46.54.8   54.8   54.8.29   8.29   8.29.84   29.84   29.84.23   84.23   84.23.16   23.16   23.16.65   16.65   16.65.47   65.47   65.47.86   47.86   47.86.61   86.61   86.61.85   61.85   61.85.85   85.85   85.85.59   85.59   85.59.32   59.32   59.32.3   32.3   32.3.22   3.22   3.22.55   22.55   22.55.28   55.28   55.28.25   28.25   28.25.1   25.1   25.1.40   1.40   1.40.56   40.56   40.56.75   56.75   56.75.89   75.89   75.89.76   89.76   89.76.4   76.4   76.4.42   4.42   4.42.78   42.78   42.78.29   78.29   78.29.63   29.63   29.63.87   63.87   63.87.80   87.80   87.80.72   80.72   80.72.9   72.9   72.9.73   9.73   9.73.65   73.65   73.65.58   65.58   65.58.98   58.98   58.98.21   98.21   98.21.65   21.65   21.65.5   65.5   65.5.11   5.11   5.11.87   11.87   11.87.12   87.12   87.12.20   12.20   12.20.31   20.31   20.31.95   31.95   31.95.73   95.73   95.73.88   73.88   73.88.8   88.8   88.8.49   8.49   8.49.90   49.90   49.90.96   90.96   90.96.55   96.55   96.55.77   55.77   55.77.2   77.2   77.2.85   2.85   2.85.74   85.74   85.74.70   74.70   74.70.19   70.19   70.19.26   19.26   19.26.47   26.47   26.47.90   47.90   47.90.58   90.58   90.58.9   58.9   58.9.72   9.72   9.72.33   72.33   72.33.75   33.75   33.75.81   75.81   75.81.23   81.23   81.23.13   23.13   23.13.14   13.14   13.14.91   14.91   14.91.91   91.91   91.91.15   91.15   91.15.36   15.36   15.36.3   36.3   36.3.69   3.69   3.69.52   69.52   69.52.50   52.50   52.50.10   50.10   50.10.33   10.33   10.33.39   33.39   33.39.58   39.58   39.58.38   58.38   58.38.83   38.83   38.83.82   83.82   83.82.7   82.7   82.7   7   7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING)
+} {5 74.74   5 74.74.99   5 74.99   5 74.99.33   5 99.33   5 99.33.89   5 33.89   5 33.89.96   5 89.96   5 89.96.38   5 96.38   5 96.38.39   5 38.39   5 38.39.91   5 39.91   5 39.91.6   5 91.6   5 91.6.97   5 6.97   5 6.97.46   5 97.46   5 97.46.54   5 46.54   5 46.54.8   5 54.8   5 54.8.29   5 8.29   5 8.29.84   5 29.84   5 29.84.23   5 84.23   5 84.23.16   5 23.16   5 23.16.65   5 16.65   5 16.65.47   5 65.47   5 65.47.86   5 47.86   5 47.86.61   5 86.61   5 86.61.85   5 61.85   5 61.85.85   5 85.85   5 85.85.59   5 85.59   5 85.59.32   5 59.32   5 59.32.3   5 32.3   5 32.3.22   5 3.22   5 3.22.55   5 22.55   5 22.55.28   5 55.28   5 55.28.25   5 28.25   5 28.25.1   5 25.1   5 25.1.40   5 1.40   5 1.40.56   5 40.56   5 40.56.75   5 56.75   5 56.75.89   5 75.89   5 75.89.76   5 89.76   5 89.76.4   5 76.4   5 76.4.42   5 4.42   5 4.42.78   5 42.78   5 42.78.29   5 78.29   5 78.29.63   5 29.63   5 29.63.87   5 63.87   5 63.87.80   5 87.80   5 87.80.72   5 80.72   5 80.72.9   5 72.9   5 72.9.73   5 9.73   5 9.73.65   5 73.65   5 73.65.58   5 65.58   5 65.58.98   5 58.98   5 58.98.21   5 98.21   5 98.21.65   5 21.65   5 21.65.5   5 65.5   5 65.5.11   5 5.11   5 5.11.87   5 11.87   5 11.87.12   5 87.12   5 87.12.20   5 12.20   5 12.20.31   5 20.31   5 20.31.95   5 31.95   5 31.95.73   5 95.73   5 95.73.88   5 73.88   5 73.88.8   5 88.8   5 88.8.49   5 8.49   5 8.49.90   5 49.90   5 49.90.96   5 90.96   5 90.96.55   5 96.55   5 96.55.77   5 55.77   5 55.77.2   5 77.2   5 77.2.85   5 2.85   5 2.85.74   5 85.74   5 85.74.70   5 74.70   5 74.70.19   5 70.19   5 70.19.26   5 19.26   5 19.26.47   5 26.47   5 26.47.90   5 47.90   5 47.90.58   5 90.58   5 90.58.9   5 58.9   5 58.9.72   5 9.72   5 9.72.33   5 72.33   5 72.33.75   5 33.75   5 33.75.81   5 75.81   5 75.81.23   5 81.23   5 81.23.13   5 23.13   5 23.13.14   5 13.14   5 13.14.91   5 14.91   5 14.91.91   5 91.91   5 91.91.15   5 91.15   5 91.15.36   5 15.36   5 15.36.3   5 36.3   5 36.3.69   5 3.69   5 3.69.52   5 69.52   5 69.52.50   5 52.50   5 52.50.10   5 50.10   5 50.10.33   5 10.33   5 10.33.39   5 33.39   5 33.39.58   5 39.58   5 39.58.38   5 58.38   5 58.38.83   5 38.83   5 38.83.82   5 83.82   5 83.82.7   4 82.7   3 82.7   2 7   1 7}
 
 do_execsql_test 1.12.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING)
+} {5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}}
 
 do_execsql_test 1.12.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING)
+} {5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}}
 
 do_execsql_test 1.12.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING) FROM t2
-} {89.6.29.47.59   6.29.47.59.28   29.47.59.28.75   47.59.28.75.78   59.28.75.78.72   28.75.78.72.98   75.78.72.98.87   78.72.98.87.73   72.98.87.73.96   98.87.73.96.74   87.73.96.74.90   73.96.74.90.75   96.74.90.75.91   74.90.75.91.69   90.75.91.69.39   75.91.69.39.7   91.69.39.7   69.39.7   39.7   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86   96.97.84.86.32   97.84.86.32.25   84.86.32.25.89   86.32.25.89.29   32.25.89.29.9   25.89.29.9.21   89.29.9.21.12   29.9.21.12.88   9.21.12.88.55   21.12.88.55.70   12.88.55.70.58   88.55.70.58.81   55.70.58.81.91   70.58.81.91.52   58.81.91.52.58   81.91.52.58   91.52.58   52.58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61   38.46.23.61.3   46.23.61.3.1   23.61.3.1.76   61.3.1.76.63   3.1.76.63.73   1.76.63.73.65   76.63.73.65.20   63.73.65.20.8   73.65.20.8.77   65.20.8.77.19   20.8.77.19.9   8.77.19.9.23   77.19.9.23.15   19.9.23.15.50   9.23.15.50.38   23.15.50.38   15.50.38   50.38   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85   39.54.16.85.22   54.16.85.22.40   16.85.22.40.4   85.22.40.4.87   22.40.4.87.65   40.4.87.65.5   4.87.65.5.31   87.65.5.31.49   65.5.31.49.2   5.31.49.2.26   31.49.2.26.72   49.2.26.72.13   2.26.72.13.36   26.72.13.36.10   72.13.36.10.83   13.36.10.83   36.10.83   10.83   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85   91.8.65.85.55   8.65.85.55.56   65.85.55.56.42   85.55.56.42.80   55.56.42.80.58   56.42.80.58.11   42.80.58.11.95   80.58.11.95.90   58.11.95.90.85   11.95.90.85.47   95.90.85.47.33   90.85.47.33.14   85.47.33.14.3   47.33.14.3.33   33.14.3.33.82   14.3.33.82   3.33.82   33.82   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND 4 FOLLOWING)
+} {5 89.6.29.47.59   5 6.29.47.59.28   5 29.47.59.28.75   5 47.59.28.75.78   5 59.28.75.78.72   5 28.75.78.72.98   5 75.78.72.98.87   5 78.72.98.87.73   5 72.98.87.73.96   5 98.87.73.96.74   5 87.73.96.74.90   5 73.96.74.90.75   5 96.74.90.75.91   5 74.90.75.91.69   5 90.75.91.69.39   5 75.91.69.39.7   4 91.69.39.7   3 69.39.7   2 39.7   1 7   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 74.96.97.84.86   5 96.97.84.86.32   5 97.84.86.32.25   5 84.86.32.25.89   5 86.32.25.89.29   5 32.25.89.29.9   5 25.89.29.9.21   5 89.29.9.21.12   5 29.9.21.12.88   5 9.21.12.88.55   5 21.12.88.55.70   5 12.88.55.70.58   5 88.55.70.58.81   5 55.70.58.81.91   5 70.58.81.91.52   5 58.81.91.52.58   4 81.91.52.58   3 91.52.58   2 52.58   1 58   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 74.38.46.23.61   5 38.46.23.61.3   5 46.23.61.3.1   5 23.61.3.1.76   5 61.3.1.76.63   5 3.1.76.63.73   5 1.76.63.73.65   5 76.63.73.65.20   5 63.73.65.20.8   5 73.65.20.8.77   5 65.20.8.77.19   5 20.8.77.19.9   5 8.77.19.9.23   5 77.19.9.23.15   5 19.9.23.15.50   5 9.23.15.50.38   4 23.15.50.38   3 15.50.38   2 50.38   1 38   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 99.39.54.16.85   5 39.54.16.85.22   5 54.16.85.22.40   5 16.85.22.40.4   5 85.22.40.4.87   5 22.40.4.87.65   5 40.4.87.65.5   5 4.87.65.5.31   5 87.65.5.31.49   5 65.5.31.49.2   5 5.31.49.2.26   5 31.49.2.26.72   5 49.2.26.72.13   5 2.26.72.13.36   5 26.72.13.36.10   5 72.13.36.10.83   4 13.36.10.83   3 36.10.83   2 10.83   1 83   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}   5 33.91.8.65.85   5 91.8.65.85.55   5 8.65.85.55.56   5 65.85.55.56.42   5 85.55.56.42.80   5 55.56.42.80.58   5 56.42.80.58.11   5 42.80.58.11.95   5 80.58.11.95.90   5 58.11.95.90.85   5 11.95.90.85.47   5 95.90.85.47.33   5 90.85.47.33.14   5 85.47.33.14.3   5 47.33.14.3.33   5 33.14.3.33.82   4 14.3.33.82   3 3.33.82   2 33.82   1 82   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   5 {}   4 {}   3 {}   2 {}   1 {}}
 
 do_execsql_test 1.13.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING ) FROM t2
@@ -5135,24 +5183,28 @@ do_execsql_test 1.13.14.6 {
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
 do_execsql_test 1.13.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
-} {74   74.99   99   99.33   33   33.89   89   89.96   96   96.38   38   38.39   39   39.91   91   91.6   6   6.97   97   97.46   46   46.54   54   54.8   8   8.29   29   29.84   84   84.23   23   23.16   16   16.65   65   65.47   47   47.86   86   86.61   61   61.85   85   85.85   85   85.59   59   59.32   32   32.3   3   3.22   22   22.55   55   55.28   28   28.25   25   25.1   1   1.40   40   40.56   56   56.75   75   75.89   89   89.76   76   76.4   4   4.42   42   42.78   78   78.29   29   29.63   63   63.87   87   87.80   80   80.72   72   72.9   9   9.73   73   73.65   65   65.58   58   58.98   98   98.21   21   21.65   65   65.5   5   5.11   11   11.87   87   87.12   12   12.20   20   20.31   31   31.95   95   95.73   73   73.88   88   88.8   8   8.49   49   49.90   90   90.96   96   96.55   55   55.77   77   77.2   2   2.85   85   85.74   74   74.70   70   70.19   19   19.26   26   26.47   47   47.90   90   90.58   58   58.9   9   9.72   72   72.33   33   33.75   75   75.81   81   81.23   23   23.13   13   13.14   14   14.91   91   91.91   91   91.15   15   15.36   36   36.3   3   3.69   69   69.52   52   52.50   50   50.10   10   10.33   33   33.39   39   39.58   58   58.38   38   38.83   83   83.82   82   82.7   7   7   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING)
+} {3 74   3 74.99   3 99   3 99.33   3 33   3 33.89   3 89   3 89.96   3 96   3 96.38   3 38   3 38.39   3 39   3 39.91   3 91   3 91.6   3 6   3 6.97   3 97   3 97.46   3 46   3 46.54   3 54   3 54.8   3 8   3 8.29   3 29   3 29.84   3 84   3 84.23   3 23   3 23.16   3 16   3 16.65   3 65   3 65.47   3 47   3 47.86   3 86   3 86.61   3 61   3 61.85   3 85   3 85.85   3 85   3 85.59   3 59   3 59.32   3 32   3 32.3   3 3   3 3.22   3 22   3 22.55   3 55   3 55.28   3 28   3 28.25   3 25   3 25.1   3 1   3 1.40   3 40   3 40.56   3 56   3 56.75   3 75   3 75.89   3 89   3 89.76   3 76   3 76.4   3 4   3 4.42   3 42   3 42.78   3 78   3 78.29   3 29   3 29.63   3 63   3 63.87   3 87   3 87.80   3 80   3 80.72   3 72   3 72.9   3 9   3 9.73   3 73   3 73.65   3 65   3 65.58   3 58   3 58.98   3 98   3 98.21   3 21   3 21.65   3 65   3 65.5   3 5   3 5.11   3 11   3 11.87   3 87   3 87.12   3 12   3 12.20   3 20   3 20.31   3 31   3 31.95   3 95   3 95.73   3 73   3 73.88   3 88   3 88.8   3 8   3 8.49   3 49   3 49.90   3 90   3 90.96   3 96   3 96.55   3 55   3 55.77   3 77   3 77.2   3 2   3 2.85   3 85   3 85.74   3 74   3 74.70   3 70   3 70.19   3 19   3 19.26   3 26   3 26.47   3 47   3 47.90   3 90   3 90.58   3 58   3 58.9   3 9   3 9.72   3 72   3 72.33   3 33   3 33.75   3 75   3 75.81   3 81   3 81.23   3 23   3 23.13   3 13   3 13.14   3 14   3 14.91   3 91   3 91.91   3 91   3 91.15   3 15   3 15.36   3 36   3 36.3   3 3   3 3.69   3 69   3 69.52   3 52   3 52.50   3 50   3 50.10   3 10   3 10.33   3 33   3 33.39   3 39   3 39.58   3 58   3 58.38   3 38   3 38.83   3 83   3 83.82   3 82   3 82.7   2 7   1 7   0 {}   0 {}}
 
 do_execsql_test 1.13.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING)
+} {3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}}
 
 do_execsql_test 1.13.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING)
+} {3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}}
 
 do_execsql_test 1.13.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING) FROM t2
-} {29.47.59   47.59.28   59.28.75   28.75.78   75.78.72   78.72.98   72.98.87   98.87.73   87.73.96   73.96.74   96.74.90   74.90.75   90.75.91   75.91.69   91.69.39   69.39.7   39.7   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   97.84.86   84.86.32   86.32.25   32.25.89   25.89.29   89.29.9   29.9.21   9.21.12   21.12.88   12.88.55   88.55.70   55.70.58   70.58.81   58.81.91   81.91.52   91.52.58   52.58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   46.23.61   23.61.3   61.3.1   3.1.76   1.76.63   76.63.73   63.73.65   73.65.20   65.20.8   20.8.77   8.77.19   77.19.9   19.9.23   9.23.15   23.15.50   15.50.38   50.38   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   54.16.85   16.85.22   85.22.40   22.40.4   40.4.87   4.87.65   87.65.5   65.5.31   5.31.49   31.49.2   49.2.26   2.26.72   26.72.13   72.13.36   13.36.10   36.10.83   10.83   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   8.65.85   65.85.55   85.55.56   55.56.42   56.42.80   42.80.58   80.58.11   58.11.95   11.95.90   95.90.85   90.85.47   85.47.33   47.33.14   33.14.3   14.3.33   3.33.82   33.82   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 2 FOLLOWING    AND 4 FOLLOWING)
+} {3 29.47.59   3 47.59.28   3 59.28.75   3 28.75.78   3 75.78.72   3 78.72.98   3 72.98.87   3 98.87.73   3 87.73.96   3 73.96.74   3 96.74.90   3 74.90.75   3 90.75.91   3 75.91.69   3 91.69.39   3 69.39.7   2 39.7   1 7   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 97.84.86   3 84.86.32   3 86.32.25   3 32.25.89   3 25.89.29   3 89.29.9   3 29.9.21   3 9.21.12   3 21.12.88   3 12.88.55   3 88.55.70   3 55.70.58   3 70.58.81   3 58.81.91   3 81.91.52   3 91.52.58   2 52.58   1 58   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 46.23.61   3 23.61.3   3 61.3.1   3 3.1.76   3 1.76.63   3 76.63.73   3 63.73.65   3 73.65.20   3 65.20.8   3 20.8.77   3 8.77.19   3 77.19.9   3 19.9.23   3 9.23.15   3 23.15.50   3 15.50.38   2 50.38   1 38   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 54.16.85   3 16.85.22   3 85.22.40   3 22.40.4   3 40.4.87   3 4.87.65   3 87.65.5   3 65.5.31   3 5.31.49   3 31.49.2   3 49.2.26   3 2.26.72   3 26.72.13   3 72.13.36   3 13.36.10   3 36.10.83   2 10.83   1 83   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}   3 8.65.85   3 65.85.55   3 85.55.56   3 55.56.42   3 56.42.80   3 42.80.58   3 80.58.11   3 58.11.95   3 11.95.90   3 95.90.85   3 90.85.47   3 85.47.33   3 47.33.14   3 33.14.3   3 14.3.33   3 3.33.82   2 33.82   1 82   0 {}   0 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   3 {}   2 {}   1 {}   0 {}   0 {}}
 
 do_execsql_test 1.14.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) FROM t2
@@ -5527,24 +5579,28 @@ do_execsql_test 1.14.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.14.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
-} {74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+} {200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 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74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7}
 
 do_execsql_test 1.14.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+} {200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}   200 {}}
 
 do_execsql_test 1.14.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+} {20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}}
 
 do_execsql_test 1.14.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) FROM t2
-} {89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING)
+} {20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}   20 {}}
 
 do_execsql_test 1.15.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING ) FROM t2
@@ -5919,24 +5975,28 @@ do_execsql_test 1.15.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.15.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
-} {74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   33.39.58.38.83.82.7   33.39.58.38.83.82.7   39.58.38.83.82.7   39.58.38.83.82.7   58.38.83.82.7   58.38.83.82.7   38.83.82.7   38.83.82.7   83.82.7   83.82.7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING)
+} {200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   199 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   198 74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   197 74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   196 99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   195 99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   194 33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   193 33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   192 89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   191 89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   190 96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   189 96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   188 38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   187 38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   186 39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   185 39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   184 91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   183 91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   182 6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   181 6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   180 97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   179 97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   178 46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   177 46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   176 54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   175 54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   174 8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   173 8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   172 29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   171 29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   170 84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   169 84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   168 23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   167 23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   166 16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   165 16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   164 65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   163 65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   162 47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   161 47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   160 86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   159 86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   158 61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   157 61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   156 85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   155 85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   154 85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   153 85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   152 59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   151 59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   150 32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   149 32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   148 3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   147 3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   146 22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   145 22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   144 55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   143 55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   142 28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   141 28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   140 25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   139 25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   138 1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   137 1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   136 40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   135 40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   134 56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   133 56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   132 75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   131 75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   130 89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   129 89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   128 76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   127 76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   126 4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   125 4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   124 42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   123 42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   122 78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   121 78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   120 29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   119 29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   118 63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   117 63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   116 87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   115 87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   114 80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   113 80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   112 72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   111 72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   110 9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   109 9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   108 73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   107 73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   106 65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   105 65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   104 58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   103 58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   102 98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   101 98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   100 21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99 21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98 65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97 65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96 5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95 5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   94 11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   93 11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   92 87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91 87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90 12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89 12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88 20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87 20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86 31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85 31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84 95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   83 95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   82 73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81 73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80 88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   79 88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   78 8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77 8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76 49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75 49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74 90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73 90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72 96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   71 96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70 55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   69 55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   68 77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   67 77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   66 2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65 2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   64 85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   63 85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   62 74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61 74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   60 70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59 70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58 19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   57 19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56 26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55 26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54 47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   53 47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   52 90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   51 90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   50 58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49 58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   48 9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47 9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46 72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   45 72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   44 33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   43 33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42 75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   41 75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40 81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39 81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38 23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   37 23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   36 13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   35 13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   34 14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33 14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32 91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31 91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   30 91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29 91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28 15.36.3.69.52.50.10.33.39.58.38.83.82.7   27 15.36.3.69.52.50.10.33.39.58.38.83.82.7   26 36.3.69.52.50.10.33.39.58.38.83.82.7   25 36.3.69.52.50.10.33.39.58.38.83.82.7   24 3.69.52.50.10.33.39.58.38.83.82.7   23 3.69.52.50.10.33.39.58.38.83.82.7   22 69.52.50.10.33.39.58.38.83.82.7   21 69.52.50.10.33.39.58.38.83.82.7   20 52.50.10.33.39.58.38.83.82.7   19 52.50.10.33.39.58.38.83.82.7   18 50.10.33.39.58.38.83.82.7   17 50.10.33.39.58.38.83.82.7   16 10.33.39.58.38.83.82.7   15 10.33.39.58.38.83.82.7   14 33.39.58.38.83.82.7   13 33.39.58.38.83.82.7   12 39.58.38.83.82.7   11 39.58.38.83.82.7   10 58.38.83.82.7   9 58.38.83.82.7   8 38.83.82.7   7 38.83.82.7   6 83.82.7   5 83.82.7}
 
 do_execsql_test 1.15.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING)
+} {200 {}   200 {}   200 {}   200 {}   200 {}   199 {}   198 {}   197 {}   196 {}   195 {}   194 {}   193 {}   192 {}   191 {}   190 {}   189 {}   188 {}   187 {}   186 {}   185 {}   184 {}   183 {}   182 {}   181 {}   180 {}   179 {}   178 {}   177 {}   176 {}   175 {}   174 {}   173 {}   172 {}   171 {}   170 {}   169 {}   168 {}   167 {}   166 {}   165 {}   164 {}   163 {}   162 {}   161 {}   160 {}   159 {}   158 {}   157 {}   156 {}   155 {}   154 {}   153 {}   152 {}   151 {}   150 {}   149 {}   148 {}   147 {}   146 {}   145 {}   144 {}   143 {}   142 {}   141 {}   140 {}   139 {}   138 {}   137 {}   136 {}   135 {}   134 {}   133 {}   132 {}   131 {}   130 {}   129 {}   128 {}   127 {}   126 {}   125 {}   124 {}   123 {}   122 {}   121 {}   120 {}   119 {}   118 {}   117 {}   116 {}   115 {}   114 {}   113 {}   112 {}   111 {}   110 {}   109 {}   108 {}   107 {}   106 {}   105 {}   104 {}   103 {}   102 {}   101 {}   100 {}   99 {}   98 {}   97 {}   96 {}   95 {}   94 {}   93 {}   92 {}   91 {}   90 {}   89 {}   88 {}   87 {}   86 {}   85 {}   84 {}   83 {}   82 {}   81 {}   80 {}   79 {}   78 {}   77 {}   76 {}   75 {}   74 {}   73 {}   72 {}   71 {}   70 {}   69 {}   68 {}   67 {}   66 {}   65 {}   64 {}   63 {}   62 {}   61 {}   60 {}   59 {}   58 {}   57 {}   56 {}   55 {}   54 {}   53 {}   52 {}   51 {}   50 {}   49 {}   48 {}   47 {}   46 {}   45 {}   44 {}   43 {}   42 {}   41 {}   40 {}   39 {}   38 {}   37 {}   36 {}   35 {}   34 {}   33 {}   32 {}   31 {}   30 {}   29 {}   28 {}   27 {}   26 {}   25 {}   24 {}   23 {}   22 {}   21 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}}
 
 do_execsql_test 1.15.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING)
+} {20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}}
 
 do_execsql_test 1.15.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING) FROM t2
-} {89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   75.78.72.98.87.73.96.74.90.75.91.69.39.7   78.72.98.87.73.96.74.90.75.91.69.39.7   72.98.87.73.96.74.90.75.91.69.39.7   98.87.73.96.74.90.75.91.69.39.7   87.73.96.74.90.75.91.69.39.7   73.96.74.90.75.91.69.39.7   96.74.90.75.91.69.39.7   74.90.75.91.69.39.7   90.75.91.69.39.7   75.91.69.39.7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   25.89.29.9.21.12.88.55.70.58.81.91.52.58   89.29.9.21.12.88.55.70.58.81.91.52.58   29.9.21.12.88.55.70.58.81.91.52.58   9.21.12.88.55.70.58.81.91.52.58   21.12.88.55.70.58.81.91.52.58   12.88.55.70.58.81.91.52.58   88.55.70.58.81.91.52.58   55.70.58.81.91.52.58   70.58.81.91.52.58   58.81.91.52.58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   1.76.63.73.65.20.8.77.19.9.23.15.50.38   76.63.73.65.20.8.77.19.9.23.15.50.38   63.73.65.20.8.77.19.9.23.15.50.38   73.65.20.8.77.19.9.23.15.50.38   65.20.8.77.19.9.23.15.50.38   20.8.77.19.9.23.15.50.38   8.77.19.9.23.15.50.38   77.19.9.23.15.50.38   19.9.23.15.50.38   9.23.15.50.38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   40.4.87.65.5.31.49.2.26.72.13.36.10.83   4.87.65.5.31.49.2.26.72.13.36.10.83   87.65.5.31.49.2.26.72.13.36.10.83   65.5.31.49.2.26.72.13.36.10.83   5.31.49.2.26.72.13.36.10.83   31.49.2.26.72.13.36.10.83   49.2.26.72.13.36.10.83   2.26.72.13.36.10.83   26.72.13.36.10.83   72.13.36.10.83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   56.42.80.58.11.95.90.85.47.33.14.3.33.82   42.80.58.11.95.90.85.47.33.14.3.33.82   80.58.11.95.90.85.47.33.14.3.33.82   58.11.95.90.85.47.33.14.3.33.82   11.95.90.85.47.33.14.3.33.82   95.90.85.47.33.14.3.33.82   90.85.47.33.14.3.33.82   85.47.33.14.3.33.82   47.33.14.3.33.82   33.14.3.33.82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 PRECEDING    AND UNBOUNDED FOLLOWING)
+} {20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   19 6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   18 29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   17 47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   16 59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   15 28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   14 75.78.72.98.87.73.96.74.90.75.91.69.39.7   13 78.72.98.87.73.96.74.90.75.91.69.39.7   12 72.98.87.73.96.74.90.75.91.69.39.7   11 98.87.73.96.74.90.75.91.69.39.7   10 87.73.96.74.90.75.91.69.39.7   9 73.96.74.90.75.91.69.39.7   8 96.74.90.75.91.69.39.7   7 74.90.75.91.69.39.7   6 90.75.91.69.39.7   5 75.91.69.39.7   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   19 96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   18 97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   17 84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   16 86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   15 32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   14 25.89.29.9.21.12.88.55.70.58.81.91.52.58   13 89.29.9.21.12.88.55.70.58.81.91.52.58   12 29.9.21.12.88.55.70.58.81.91.52.58   11 9.21.12.88.55.70.58.81.91.52.58   10 21.12.88.55.70.58.81.91.52.58   9 12.88.55.70.58.81.91.52.58   8 88.55.70.58.81.91.52.58   7 55.70.58.81.91.52.58   6 70.58.81.91.52.58   5 58.81.91.52.58   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   19 38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   18 46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   17 23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   16 61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   15 3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   14 1.76.63.73.65.20.8.77.19.9.23.15.50.38   13 76.63.73.65.20.8.77.19.9.23.15.50.38   12 63.73.65.20.8.77.19.9.23.15.50.38   11 73.65.20.8.77.19.9.23.15.50.38   10 65.20.8.77.19.9.23.15.50.38   9 20.8.77.19.9.23.15.50.38   8 8.77.19.9.23.15.50.38   7 77.19.9.23.15.50.38   6 19.9.23.15.50.38   5 9.23.15.50.38   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   19 39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   18 54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   17 16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   16 85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   15 22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   14 40.4.87.65.5.31.49.2.26.72.13.36.10.83   13 4.87.65.5.31.49.2.26.72.13.36.10.83   12 87.65.5.31.49.2.26.72.13.36.10.83   11 65.5.31.49.2.26.72.13.36.10.83   10 5.31.49.2.26.72.13.36.10.83   9 31.49.2.26.72.13.36.10.83   8 49.2.26.72.13.36.10.83   7 2.26.72.13.36.10.83   6 26.72.13.36.10.83   5 72.13.36.10.83   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   19 91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   18 8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   17 65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   16 85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   15 55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   14 56.42.80.58.11.95.90.85.47.33.14.3.33.82   13 42.80.58.11.95.90.85.47.33.14.3.33.82   12 80.58.11.95.90.85.47.33.14.3.33.82   11 58.11.95.90.85.47.33.14.3.33.82   10 11.95.90.85.47.33.14.3.33.82   9 95.90.85.47.33.14.3.33.82   8 90.85.47.33.14.3.33.82   7 85.47.33.14.3.33.82   6 47.33.14.3.33.82   5 33.14.3.33.82   20 {}   20 {}   20 {}   20 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}}
 
 do_execsql_test 1.16.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING ) FROM t2
@@ -6311,24 +6371,28 @@ do_execsql_test 1.16.14.6 {
 } {0   74   74   26   2   96   38   68   62   46   6   46   78   54   8   84   16   16   86   74   24   12   32   56   22   90   28   56   40   56   16   36   98   76   4   94   42   30   78   2   80   84   72   58   96   98   74   12   8   20   22   88   34   8   34   90   96   60   44   2   74   70   26   26   80   90   36   58   72   72   66   64   12   14   62   36   34   36   58   52   30   50   84   10   84   44   58   30   38   34   82   41   23   99   33   89   81   59   39   91   99   97   27   97   67   29   93   77   23   93   65   35   47   7   61   91   85   85   43   59   3   91   55   15   89   25   47   1   43   75   89   81   33   29   53   63   87   37   41   9   61   73   95   65   13   1   21   65   35   5   73   11   51   87   41   31   31   15   95   73   79   11   49   59   55   75   77   7   85   57   29   59   19   39   47   47   9   33   93   75   81   9   23   37   13   91   91   33   15   99   3   95   69   33   21   39   83   27   17   7}
 
 do_execsql_test 1.16.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
-} {74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   33.39.58.38.83.82.7   33.39.58.38.83.82.7   39.58.38.83.82.7   39.58.38.83.82.7   58.38.83.82.7   58.38.83.82.7   38.83.82.7   38.83.82.7   83.82.7   83.82.7   82.7   82.7   7   7}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING)
+} {200 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   199 74.74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   198 74.99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   197 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16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   165 16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   164 65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   163 65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   162 47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   161 47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   160 86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   159 86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   158 61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   157 61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   156 85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   155 85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   154 85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   153 85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   152 59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   151 59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   150 32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   149 32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   148 3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   147 3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   146 22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   145 22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   144 55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   143 55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   142 28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   141 28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   140 25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   139 25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   138 1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   137 1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   136 40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   135 40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   134 56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   133 56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   132 75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   131 75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   130 89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   129 89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   128 76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   127 76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   126 4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   125 4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   124 42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   123 42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   122 78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   121 78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   120 29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   119 29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   118 63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   117 63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   116 87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   115 87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   114 80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   113 80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   112 72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   111 72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   110 9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   109 9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   108 73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   107 73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   106 65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   105 65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   104 58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   103 58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   102 98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   101 98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   100 21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99 21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98 65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97 65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96 5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95 5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   94 11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   93 11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   92 87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91 87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90 12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89 12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88 20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87 20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86 31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85 31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84 95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   83 95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   82 73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81 73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80 88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   79 88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   78 8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77 8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76 49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75 49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74 90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73 90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72 96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   71 96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70 55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   69 55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   68 77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   67 77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   66 2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65 2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   64 85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   63 85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   62 74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61 74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   60 70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59 70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58 19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   57 19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56 26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55 26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54 47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   53 47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   52 90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   51 90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   50 58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49 58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   48 9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47 9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46 72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   45 72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   44 33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   43 33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42 75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   41 75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40 81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39 81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38 23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   37 23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   36 13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   35 13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   34 14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33 14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32 91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31 91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   30 91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29 91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28 15.36.3.69.52.50.10.33.39.58.38.83.82.7   27 15.36.3.69.52.50.10.33.39.58.38.83.82.7   26 36.3.69.52.50.10.33.39.58.38.83.82.7   25 36.3.69.52.50.10.33.39.58.38.83.82.7   24 3.69.52.50.10.33.39.58.38.83.82.7   23 3.69.52.50.10.33.39.58.38.83.82.7   22 69.52.50.10.33.39.58.38.83.82.7   21 69.52.50.10.33.39.58.38.83.82.7   20 52.50.10.33.39.58.38.83.82.7   19 52.50.10.33.39.58.38.83.82.7   18 50.10.33.39.58.38.83.82.7   17 50.10.33.39.58.38.83.82.7   16 10.33.39.58.38.83.82.7   15 10.33.39.58.38.83.82.7   14 33.39.58.38.83.82.7   13 33.39.58.38.83.82.7   12 39.58.38.83.82.7   11 39.58.38.83.82.7   10 58.38.83.82.7   9 58.38.83.82.7   8 38.83.82.7   7 38.83.82.7   6 83.82.7   5 83.82.7   4 82.7   3 82.7   2 7   1 7}
 
 do_execsql_test 1.16.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING)
+} {200 {}   199 {}   198 {}   197 {}   196 {}   195 {}   194 {}   193 {}   192 {}   191 {}   190 {}   189 {}   188 {}   187 {}   186 {}   185 {}   184 {}   183 {}   182 {}   181 {}   180 {}   179 {}   178 {}   177 {}   176 {}   175 {}   174 {}   173 {}   172 {}   171 {}   170 {}   169 {}   168 {}   167 {}   166 {}   165 {}   164 {}   163 {}   162 {}   161 {}   160 {}   159 {}   158 {}   157 {}   156 {}   155 {}   154 {}   153 {}   152 {}   151 {}   150 {}   149 {}   148 {}   147 {}   146 {}   145 {}   144 {}   143 {}   142 {}   141 {}   140 {}   139 {}   138 {}   137 {}   136 {}   135 {}   134 {}   133 {}   132 {}   131 {}   130 {}   129 {}   128 {}   127 {}   126 {}   125 {}   124 {}   123 {}   122 {}   121 {}   120 {}   119 {}   118 {}   117 {}   116 {}   115 {}   114 {}   113 {}   112 {}   111 {}   110 {}   109 {}   108 {}   107 {}   106 {}   105 {}   104 {}   103 {}   102 {}   101 {}   100 {}   99 {}   98 {}   97 {}   96 {}   95 {}   94 {}   93 {}   92 {}   91 {}   90 {}   89 {}   88 {}   87 {}   86 {}   85 {}   84 {}   83 {}   82 {}   81 {}   80 {}   79 {}   78 {}   77 {}   76 {}   75 {}   74 {}   73 {}   72 {}   71 {}   70 {}   69 {}   68 {}   67 {}   66 {}   65 {}   64 {}   63 {}   62 {}   61 {}   60 {}   59 {}   58 {}   57 {}   56 {}   55 {}   54 {}   53 {}   52 {}   51 {}   50 {}   49 {}   48 {}   47 {}   46 {}   45 {}   44 {}   43 {}   42 {}   41 {}   40 {}   39 {}   38 {}   37 {}   36 {}   35 {}   34 {}   33 {}   32 {}   31 {}   30 {}   29 {}   28 {}   27 {}   26 {}   25 {}   24 {}   23 {}   22 {}   21 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}}
 
 do_execsql_test 1.16.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING)
+} {20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}}
 
 do_execsql_test 1.16.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING) FROM t2
-} {89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   75.78.72.98.87.73.96.74.90.75.91.69.39.7   78.72.98.87.73.96.74.90.75.91.69.39.7   72.98.87.73.96.74.90.75.91.69.39.7   98.87.73.96.74.90.75.91.69.39.7   87.73.96.74.90.75.91.69.39.7   73.96.74.90.75.91.69.39.7   96.74.90.75.91.69.39.7   74.90.75.91.69.39.7   90.75.91.69.39.7   75.91.69.39.7   91.69.39.7   69.39.7   39.7   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   25.89.29.9.21.12.88.55.70.58.81.91.52.58   89.29.9.21.12.88.55.70.58.81.91.52.58   29.9.21.12.88.55.70.58.81.91.52.58   9.21.12.88.55.70.58.81.91.52.58   21.12.88.55.70.58.81.91.52.58   12.88.55.70.58.81.91.52.58   88.55.70.58.81.91.52.58   55.70.58.81.91.52.58   70.58.81.91.52.58   58.81.91.52.58   81.91.52.58   91.52.58   52.58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   1.76.63.73.65.20.8.77.19.9.23.15.50.38   76.63.73.65.20.8.77.19.9.23.15.50.38   63.73.65.20.8.77.19.9.23.15.50.38   73.65.20.8.77.19.9.23.15.50.38   65.20.8.77.19.9.23.15.50.38   20.8.77.19.9.23.15.50.38   8.77.19.9.23.15.50.38   77.19.9.23.15.50.38   19.9.23.15.50.38   9.23.15.50.38   23.15.50.38   15.50.38   50.38   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   40.4.87.65.5.31.49.2.26.72.13.36.10.83   4.87.65.5.31.49.2.26.72.13.36.10.83   87.65.5.31.49.2.26.72.13.36.10.83   65.5.31.49.2.26.72.13.36.10.83   5.31.49.2.26.72.13.36.10.83   31.49.2.26.72.13.36.10.83   49.2.26.72.13.36.10.83   2.26.72.13.36.10.83   26.72.13.36.10.83   72.13.36.10.83   13.36.10.83   36.10.83   10.83   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   56.42.80.58.11.95.90.85.47.33.14.3.33.82   42.80.58.11.95.90.85.47.33.14.3.33.82   80.58.11.95.90.85.47.33.14.3.33.82   58.11.95.90.85.47.33.14.3.33.82   11.95.90.85.47.33.14.3.33.82   95.90.85.47.33.14.3.33.82   90.85.47.33.14.3.33.82   85.47.33.14.3.33.82   47.33.14.3.33.82   33.14.3.33.82   14.3.33.82   3.33.82   33.82   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN CURRENT ROW         AND UNBOUNDED FOLLOWING)
+} {20 89.6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   19 6.29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   18 29.47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   17 47.59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   16 59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   15 28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   14 75.78.72.98.87.73.96.74.90.75.91.69.39.7   13 78.72.98.87.73.96.74.90.75.91.69.39.7   12 72.98.87.73.96.74.90.75.91.69.39.7   11 98.87.73.96.74.90.75.91.69.39.7   10 87.73.96.74.90.75.91.69.39.7   9 73.96.74.90.75.91.69.39.7   8 96.74.90.75.91.69.39.7   7 74.90.75.91.69.39.7   6 90.75.91.69.39.7   5 75.91.69.39.7   4 91.69.39.7   3 69.39.7   2 39.7   1 7   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 74.96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   19 96.97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   18 97.84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   17 84.86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   16 86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   15 32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   14 25.89.29.9.21.12.88.55.70.58.81.91.52.58   13 89.29.9.21.12.88.55.70.58.81.91.52.58   12 29.9.21.12.88.55.70.58.81.91.52.58   11 9.21.12.88.55.70.58.81.91.52.58   10 21.12.88.55.70.58.81.91.52.58   9 12.88.55.70.58.81.91.52.58   8 88.55.70.58.81.91.52.58   7 55.70.58.81.91.52.58   6 70.58.81.91.52.58   5 58.81.91.52.58   4 81.91.52.58   3 91.52.58   2 52.58   1 58   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 74.38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   19 38.46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   18 46.23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   17 23.61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   16 61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   15 3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   14 1.76.63.73.65.20.8.77.19.9.23.15.50.38   13 76.63.73.65.20.8.77.19.9.23.15.50.38   12 63.73.65.20.8.77.19.9.23.15.50.38   11 73.65.20.8.77.19.9.23.15.50.38   10 65.20.8.77.19.9.23.15.50.38   9 20.8.77.19.9.23.15.50.38   8 8.77.19.9.23.15.50.38   7 77.19.9.23.15.50.38   6 19.9.23.15.50.38   5 9.23.15.50.38   4 23.15.50.38   3 15.50.38   2 50.38   1 38   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 99.39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   19 39.54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   18 54.16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   17 16.85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   16 85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   15 22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   14 40.4.87.65.5.31.49.2.26.72.13.36.10.83   13 4.87.65.5.31.49.2.26.72.13.36.10.83   12 87.65.5.31.49.2.26.72.13.36.10.83   11 65.5.31.49.2.26.72.13.36.10.83   10 5.31.49.2.26.72.13.36.10.83   9 31.49.2.26.72.13.36.10.83   8 49.2.26.72.13.36.10.83   7 2.26.72.13.36.10.83   6 26.72.13.36.10.83   5 72.13.36.10.83   4 13.36.10.83   3 36.10.83   2 10.83   1 83   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   20 33.91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   19 91.8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   18 8.65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   17 65.85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   16 85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   15 55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   14 56.42.80.58.11.95.90.85.47.33.14.3.33.82   13 42.80.58.11.95.90.85.47.33.14.3.33.82   12 80.58.11.95.90.85.47.33.14.3.33.82   11 58.11.95.90.85.47.33.14.3.33.82   10 11.95.90.85.47.33.14.3.33.82   9 95.90.85.47.33.14.3.33.82   8 90.85.47.33.14.3.33.82   7 85.47.33.14.3.33.82   6 47.33.14.3.33.82   5 33.14.3.33.82   4 14.3.33.82   3 3.33.82   2 33.82   1 82   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}}
 
 do_execsql_test 1.17.2.1 {
   SELECT max(b) OVER ( ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING ) FROM t2
@@ -6703,23 +6767,27 @@ do_execsql_test 1.17.14.6 {
 } {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
 
 do_execsql_test 1.17.15.1 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
-} {99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   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9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   15.36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   36.3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   3.69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   69.52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   52.50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   50.10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   10.33.39.58.38.83.82.7   33.39.58.38.83.82.7   33.39.58.38.83.82.7   39.58.38.83.82.7   39.58.38.83.82.7   58.38.83.82.7   58.38.83.82.7   38.83.82.7   38.83.82.7   83.82.7   83.82.7   82.7   82.7   7   7   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING)
+} {196 99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   195 99.33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   194 33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   193 33.89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   192 89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   191 89.96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   190 96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   189 96.38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   188 38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   187 38.39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   186 39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   185 39.91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   184 91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   183 91.6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   182 6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   181 6.97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   180 97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   179 97.46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   178 46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   177 46.54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   176 54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   175 54.8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   174 8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   173 8.29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   172 29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   171 29.84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   170 84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   169 84.23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   168 23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   167 23.16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   166 16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   165 16.65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   164 65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   163 65.47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   162 47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   161 47.86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   160 86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   159 86.61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   158 61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   157 61.85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   156 85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   155 85.85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   154 85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   153 85.59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   152 59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   151 59.32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   150 32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   149 32.3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   148 3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   147 3.22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   146 22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   145 22.55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   144 55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   143 55.28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   142 28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   141 28.25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   140 25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   139 25.1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   138 1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   137 1.40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   136 40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   135 40.56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   134 56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   133 56.75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   132 75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   131 75.89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   130 89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   129 89.76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   128 76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   127 76.4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   126 4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   125 4.42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   124 42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   123 42.78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   122 78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   121 78.29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   120 29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   119 29.63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   118 63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   117 63.87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   116 87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   115 87.80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   114 80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   113 80.72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   112 72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   111 72.9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   110 9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   109 9.73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   108 73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   107 73.65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   106 65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   105 65.58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   104 58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   103 58.98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   102 98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   101 98.21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   100 21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   99 21.65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   98 65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   97 65.5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   96 5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   95 5.11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   94 11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   93 11.87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   92 87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   91 87.12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   90 12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   89 12.20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   88 20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   87 20.31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   86 31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   85 31.95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   84 95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   83 95.73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   82 73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   81 73.88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   80 88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   79 88.8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   78 8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   77 8.49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   76 49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   75 49.90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   74 90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   73 90.96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   72 96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   71 96.55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   70 55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   69 55.77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   68 77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   67 77.2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   66 2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   65 2.85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   64 85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   63 85.74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   62 74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   61 74.70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   60 70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   59 70.19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   58 19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   57 19.26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   56 26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   55 26.47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   54 47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   53 47.90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   52 90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   51 90.58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   50 58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   49 58.9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   48 9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   47 9.72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   46 72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   45 72.33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   44 33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   43 33.75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   42 75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   41 75.81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   40 81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   39 81.23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   38 23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   37 23.13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   36 13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   35 13.14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   34 14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   33 14.91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   32 91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   31 91.91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   30 91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   29 91.15.36.3.69.52.50.10.33.39.58.38.83.82.7   28 15.36.3.69.52.50.10.33.39.58.38.83.82.7   27 15.36.3.69.52.50.10.33.39.58.38.83.82.7   26 36.3.69.52.50.10.33.39.58.38.83.82.7   25 36.3.69.52.50.10.33.39.58.38.83.82.7   24 3.69.52.50.10.33.39.58.38.83.82.7   23 3.69.52.50.10.33.39.58.38.83.82.7   22 69.52.50.10.33.39.58.38.83.82.7   21 69.52.50.10.33.39.58.38.83.82.7   20 52.50.10.33.39.58.38.83.82.7   19 52.50.10.33.39.58.38.83.82.7   18 50.10.33.39.58.38.83.82.7   17 50.10.33.39.58.38.83.82.7   16 10.33.39.58.38.83.82.7   15 10.33.39.58.38.83.82.7   14 33.39.58.38.83.82.7   13 33.39.58.38.83.82.7   12 39.58.38.83.82.7   11 39.58.38.83.82.7   10 58.38.83.82.7   9 58.38.83.82.7   8 38.83.82.7   7 38.83.82.7   6 83.82.7   5 83.82.7   4 82.7   3 82.7   2 7   1 7   0 {}   0 {}   0 {}   0 {}}
 
 do_execsql_test 1.17.15.2 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 0=1) OVER (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 0=1) OVER win FROM t2
+    WINDOW win AS (ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING)
+} {196 {}   195 {}   194 {}   193 {}   192 {}   191 {}   190 {}   189 {}   188 {}   187 {}   186 {}   185 {}   184 {}   183 {}   182 {}   181 {}   180 {}   179 {}   178 {}   177 {}   176 {}   175 {}   174 {}   173 {}   172 {}   171 {}   170 {}   169 {}   168 {}   167 {}   166 {}   165 {}   164 {}   163 {}   162 {}   161 {}   160 {}   159 {}   158 {}   157 {}   156 {}   155 {}   154 {}   153 {}   152 {}   151 {}   150 {}   149 {}   148 {}   147 {}   146 {}   145 {}   144 {}   143 {}   142 {}   141 {}   140 {}   139 {}   138 {}   137 {}   136 {}   135 {}   134 {}   133 {}   132 {}   131 {}   130 {}   129 {}   128 {}   127 {}   126 {}   125 {}   124 {}   123 {}   122 {}   121 {}   120 {}   119 {}   118 {}   117 {}   116 {}   115 {}   114 {}   113 {}   112 {}   111 {}   110 {}   109 {}   108 {}   107 {}   106 {}   105 {}   104 {}   103 {}   102 {}   101 {}   100 {}   99 {}   98 {}   97 {}   96 {}   95 {}   94 {}   93 {}   92 {}   91 {}   90 {}   89 {}   88 {}   87 {}   86 {}   85 {}   84 {}   83 {}   82 {}   81 {}   80 {}   79 {}   78 {}   77 {}   76 {}   75 {}   74 {}   73 {}   72 {}   71 {}   70 {}   69 {}   68 {}   67 {}   66 {}   65 {}   64 {}   63 {}   62 {}   61 {}   60 {}   59 {}   58 {}   57 {}   56 {}   55 {}   54 {}   53 {}   52 {}   51 {}   50 {}   49 {}   48 {}   47 {}   46 {}   45 {}   44 {}   43 {}   42 {}   41 {}   40 {}   39 {}   38 {}   37 {}   36 {}   35 {}   34 {}   33 {}   32 {}   31 {}   30 {}   29 {}   28 {}   27 {}   26 {}   25 {}   24 {}   23 {}   22 {}   21 {}   20 {}   19 {}   18 {}   17 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}}
 
 do_execsql_test 1.17.15.3 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE 1=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
-} {{}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE 1=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING)
+} {16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}}
 
 do_execsql_test 1.17.15.4 {
-  SELECT group_concat(CAST(b AS TEXT), '.') 
-    FILTER (WHERE a%2=0) OVER (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING) FROM t2
-} {59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   75.78.72.98.87.73.96.74.90.75.91.69.39.7   78.72.98.87.73.96.74.90.75.91.69.39.7   72.98.87.73.96.74.90.75.91.69.39.7   98.87.73.96.74.90.75.91.69.39.7   87.73.96.74.90.75.91.69.39.7   73.96.74.90.75.91.69.39.7   96.74.90.75.91.69.39.7   74.90.75.91.69.39.7   90.75.91.69.39.7   75.91.69.39.7   91.69.39.7   69.39.7   39.7   7   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   25.89.29.9.21.12.88.55.70.58.81.91.52.58   89.29.9.21.12.88.55.70.58.81.91.52.58   29.9.21.12.88.55.70.58.81.91.52.58   9.21.12.88.55.70.58.81.91.52.58   21.12.88.55.70.58.81.91.52.58   12.88.55.70.58.81.91.52.58   88.55.70.58.81.91.52.58   55.70.58.81.91.52.58   70.58.81.91.52.58   58.81.91.52.58   81.91.52.58   91.52.58   52.58   58   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   1.76.63.73.65.20.8.77.19.9.23.15.50.38   76.63.73.65.20.8.77.19.9.23.15.50.38   63.73.65.20.8.77.19.9.23.15.50.38   73.65.20.8.77.19.9.23.15.50.38   65.20.8.77.19.9.23.15.50.38   20.8.77.19.9.23.15.50.38   8.77.19.9.23.15.50.38   77.19.9.23.15.50.38   19.9.23.15.50.38   9.23.15.50.38   23.15.50.38   15.50.38   50.38   38   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   40.4.87.65.5.31.49.2.26.72.13.36.10.83   4.87.65.5.31.49.2.26.72.13.36.10.83   87.65.5.31.49.2.26.72.13.36.10.83   65.5.31.49.2.26.72.13.36.10.83   5.31.49.2.26.72.13.36.10.83   31.49.2.26.72.13.36.10.83   49.2.26.72.13.36.10.83   2.26.72.13.36.10.83   26.72.13.36.10.83   72.13.36.10.83   13.36.10.83   36.10.83   10.83   83   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   56.42.80.58.11.95.90.85.47.33.14.3.33.82   42.80.58.11.95.90.85.47.33.14.3.33.82   80.58.11.95.90.85.47.33.14.3.33.82   58.11.95.90.85.47.33.14.3.33.82   11.95.90.85.47.33.14.3.33.82   95.90.85.47.33.14.3.33.82   90.85.47.33.14.3.33.82   85.47.33.14.3.33.82   47.33.14.3.33.82   33.14.3.33.82   14.3.33.82   3.33.82   33.82   82   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}   {}}
+  SELECT count(*) OVER win, group_concat(CAST(b AS TEXT), '.') 
+    FILTER (WHERE a%2=0) OVER win FROM t2
+    WINDOW win AS (PARTITION BY (a%10) ORDER BY a ROWS BETWEEN 4 FOLLOWING    AND UNBOUNDED FOLLOWING)
+} {16 59.28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   15 28.75.78.72.98.87.73.96.74.90.75.91.69.39.7   14 75.78.72.98.87.73.96.74.90.75.91.69.39.7   13 78.72.98.87.73.96.74.90.75.91.69.39.7   12 72.98.87.73.96.74.90.75.91.69.39.7   11 98.87.73.96.74.90.75.91.69.39.7   10 87.73.96.74.90.75.91.69.39.7   9 73.96.74.90.75.91.69.39.7   8 96.74.90.75.91.69.39.7   7 74.90.75.91.69.39.7   6 90.75.91.69.39.7   5 75.91.69.39.7   4 91.69.39.7   3 69.39.7   2 39.7   1 7   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 86.32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   15 32.25.89.29.9.21.12.88.55.70.58.81.91.52.58   14 25.89.29.9.21.12.88.55.70.58.81.91.52.58   13 89.29.9.21.12.88.55.70.58.81.91.52.58   12 29.9.21.12.88.55.70.58.81.91.52.58   11 9.21.12.88.55.70.58.81.91.52.58   10 21.12.88.55.70.58.81.91.52.58   9 12.88.55.70.58.81.91.52.58   8 88.55.70.58.81.91.52.58   7 55.70.58.81.91.52.58   6 70.58.81.91.52.58   5 58.81.91.52.58   4 81.91.52.58   3 91.52.58   2 52.58   1 58   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 61.3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   15 3.1.76.63.73.65.20.8.77.19.9.23.15.50.38   14 1.76.63.73.65.20.8.77.19.9.23.15.50.38   13 76.63.73.65.20.8.77.19.9.23.15.50.38   12 63.73.65.20.8.77.19.9.23.15.50.38   11 73.65.20.8.77.19.9.23.15.50.38   10 65.20.8.77.19.9.23.15.50.38   9 20.8.77.19.9.23.15.50.38   8 8.77.19.9.23.15.50.38   7 77.19.9.23.15.50.38   6 19.9.23.15.50.38   5 9.23.15.50.38   4 23.15.50.38   3 15.50.38   2 50.38   1 38   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 85.22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   15 22.40.4.87.65.5.31.49.2.26.72.13.36.10.83   14 40.4.87.65.5.31.49.2.26.72.13.36.10.83   13 4.87.65.5.31.49.2.26.72.13.36.10.83   12 87.65.5.31.49.2.26.72.13.36.10.83   11 65.5.31.49.2.26.72.13.36.10.83   10 5.31.49.2.26.72.13.36.10.83   9 31.49.2.26.72.13.36.10.83   8 49.2.26.72.13.36.10.83   7 2.26.72.13.36.10.83   6 26.72.13.36.10.83   5 72.13.36.10.83   4 13.36.10.83   3 36.10.83   2 10.83   1 83   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}   16 85.55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   15 55.56.42.80.58.11.95.90.85.47.33.14.3.33.82   14 56.42.80.58.11.95.90.85.47.33.14.3.33.82   13 42.80.58.11.95.90.85.47.33.14.3.33.82   12 80.58.11.95.90.85.47.33.14.3.33.82   11 58.11.95.90.85.47.33.14.3.33.82   10 11.95.90.85.47.33.14.3.33.82   9 95.90.85.47.33.14.3.33.82   8 90.85.47.33.14.3.33.82   7 85.47.33.14.3.33.82   6 47.33.14.3.33.82   5 33.14.3.33.82   4 14.3.33.82   3 3.33.82   2 33.82   1 82   0 {}   0 {}   0 {}   0 {}   16 {}   15 {}   14 {}   13 {}   12 {}   11 {}   10 {}   9 {}   8 {}   7 {}   6 {}   5 {}   4 {}   3 {}   2 {}   1 {}   0 {}   0 {}   0 {}   0 {}}
 
 finish_test
diff --git a/test/window5.test b/test/window5.test
index 3b0e6f2618..40d218f2ab 100644
--- a/test/window5.test
+++ b/test/window5.test
@@ -82,6 +82,16 @@ do_execsql_test 2.1 {
   SELECT sumint(a) OVER (ORDER BY rowid ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING) FROM t1 ORDER BY rowid;
 } {10 11 12 8 10 5}
 
+test_override_sum db
+do_catchsql_test 3.0 {
+  SELECT sum(a) OVER 
+  (ORDER BY b ROWS BETWEEN 1 PRECEDING AND CURRENT ROW) 
+  FROM t1;
+} {1 {sum() may not be used as a window function}}
+do_execsql_test 3.1 {
+  SELECT sum(a) FROM t1;
+} {21}
+
 
 finish_test
 
diff --git a/test/window6.test b/test/window6.test
index 69b597077e..cc3a08067c 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -139,5 +139,19 @@ do_execsql_test 5.4 {
   SELECT sum(window) OVER window window FROM window window window window AS (ORDER BY window);
 } {2 6 12}
 
+do_execsql_test 5.5 {
+  SELECT count(*) OVER win FROM over
+  WINDOW win AS (ORDER BY x ROWS BETWEEN +2 FOLLOWING AND +3 FOLLOWING)
+} {1 0 0}
+
+#-------------------------------------------------------------------------
+#
+do_execsql_test 6.0 {
+  SELECT LIKE("!","","!")""WHeRE"";
+} {1}
+do_catchsql_test 6.1 {
+  SELECT LIKE("!","","!")""window"";
+} {1 {near "window": syntax error}}
+
 finish_test
 

From 6b4b88208e41e7628005bd73718419e0a10296d4 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 2 Jul 2018 15:03:50 +0000
Subject: [PATCH 112/154] Fix a crash caused by a LIKE pattern that consists of
 a single escape character.

FossilOrigin-Name: bb9bfc3a12dfb89b1c58f5551cdc89ab7b0fbe03f285f2ed86611786ed02ffd9
---
 manifest          | 16 ++++++++--------
 manifest.uuid     |  2 +-
 src/func.c        |  4 +++-
 src/whereexpr.c   | 10 ++++++----
 test/window6.test | 22 ++++++++++++++++++++--
 5 files changed, 38 insertions(+), 16 deletions(-)

diff --git a/manifest b/manifest
index 653d0aa79c..50d0feff5d 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\ssegfault\scaused\sby\sinvoking\sa\sregular\saggregate\sas\sa\swindow-function.\nAnd\ssome\sproblems\swith\scount(*)\swhen\sused\sas\sa\swindow-function.
-D 2018-07-02T12:07:32.352
+C Fix\sa\scrash\scaused\sby\sa\sLIKE\spattern\sthat\sconsists\sof\sa\ssingle\sescape\ncharacter.
+D 2018-07-02T15:03:50.160
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -450,7 +450,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c 7e257eeffe9553c10a6ac0a1f0177bf740c4da834e7d6e2cbb7d3ebaa3d7f3e1
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c 4d573e690757f29674db05d7b29c1a27886157fd2b71fcb94c68141c0eb52cfb
+F src/func.c 8a002cd2eb217dcac2e2f3b1f1fc49315081f7c71dff3f0bbbb4c157b5d24b50
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -583,7 +583,7 @@ F src/walker.c ba7225773931760cf60bf22f34d0cce2588df7ce5ce0f215a52eb88234b55ac4
 F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
-F src/whereexpr.c 19cf35cdd9bf6d5589d8a5c960d99259761136187a2319a6e14d11cf1abe14c2
+F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
 F src/window.c 7df0313f9b21c904e51226b24c0203aa26be502202f469143bacc5e74ebc0d38
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
@@ -1626,7 +1626,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
 F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test 28e9126e1c35b99dec7b0609f1a242cecca5d0291382bcb5f61f498973c2b047
+F test/window6.test 6e817df58449ec92db67a76d4840ad5f4a6662af0d2e22328288523e2ba537e4
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1744,7 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 3f6730be4cb712a28401be6d96e56ccb3f2e98dd8961b477befec3f363715178
-R 119ac682f2311f0cb1cd57d00a75572a
+P 4f3c8a82fd1c5b14d84f2301e34cfc8d52fe4b3a60840c39e895c11f2da529d9
+R 947603f57703a72e98c481cdb1471c29
 U dan
-Z be71ee8fe3da4ce8850e5091c36fabce
+Z b6e0a0e0cc4dd2ca9103d3009ba7802b
diff --git a/manifest.uuid b/manifest.uuid
index 1a4a3f8d8a..72abf34945 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-4f3c8a82fd1c5b14d84f2301e34cfc8d52fe4b3a60840c39e895c11f2da529d9
\ No newline at end of file
+bb9bfc3a12dfb89b1c58f5551cdc89ab7b0fbe03f285f2ed86611786ed02ffd9
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index ff7c3049fa..ae2b767195 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1612,7 +1612,9 @@ static void countInverse(sqlite3_context *ctx, int argc, sqlite3_value **argv){
 #endif
   }
 }   
-#endif
+#else
+# define countInverse 0
+#endif /* SQLITE_OMIT_WINDOWFUNC */
 
 /*
 ** Routines to implement min() and max() aggregate functions.
diff --git a/src/whereexpr.c b/src/whereexpr.c
index c027481025..6f6e660ad2 100644
--- a/src/whereexpr.c
+++ b/src/whereexpr.c
@@ -256,11 +256,13 @@ static int isLikeOrGlob(
 
     /* The optimization is possible only if (1) the pattern does not begin
     ** with a wildcard and if (2) the non-wildcard prefix does not end with
-    ** an (illegal 0xff) character.  The second condition is necessary so
+    ** an (illegal 0xff) character, or (3) the pattern does not consist of
+    ** a single escape character. The second condition is necessary so
     ** that we can increment the prefix key to find an upper bound for the
-    ** range search. 
-    */
-    if( cnt!=0 && 255!=(u8)z[cnt-1] ){
+    ** range search. The third is because the caller assumes that the pattern
+    ** consists of at least one character after all escapes have been
+    ** removed.  */
+    if( cnt!=0 && 255!=(u8)z[cnt-1] && (cnt>1 || z[0]!=wc[3]) ){
       Expr *pPrefix;
 
       /* A "complete" match if the pattern ends with "*" or "%" */
diff --git a/test/window6.test b/test/window6.test
index cc3a08067c..040a570135 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -146,12 +146,30 @@ do_execsql_test 5.5 {
 
 #-------------------------------------------------------------------------
 #
+
 do_execsql_test 6.0 {
+  SELECT LIKE('!', '', '!') x WHERE x;
+} {}
+
+do_execsql_test 6.1 {
   SELECT LIKE("!","","!")""WHeRE"";
-} {1}
-do_catchsql_test 6.1 {
+} {}
+
+do_catchsql_test 6.2 {
   SELECT LIKE("!","","!")""window"";
 } {1 {near "window": syntax error}}
 
+reset_db 
+do_execsql_test 7.0 {
+  CREATE TABLE t1(x TEXT);
+  CREATE INDEX i1 ON t1(x COLLATE nocase);
+  INSERT INTO t1 VALUES('');
+}
+
+do_execsql_test 7.1 {
+  SELECT count(*) FROM t1 WHERE x LIKE '!' ESCAPE '!';
+} {0}
+
+
 finish_test
 

From f607bec7493d938f9b74f65dd0cfe516fe4d6eaf Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 2 Jul 2018 17:14:37 +0000
Subject: [PATCH 113/154] Fix a segfault caused by having identical window
 functions in the select-list and ORDER BY clause of a SELECT statement.

FossilOrigin-Name: 693b4350d741391226a33ab6a05eaad61e8ef1590176f01e8aed2a212e2d6419
---
 manifest          | 14 +++++++-------
 manifest.uuid     |  2 +-
 src/resolve.c     | 11 +++++++++++
 test/window6.test | 22 +++++++++++++++++++++-
 4 files changed, 40 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index 50d0feff5d..6f4766f979 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\scrash\scaused\sby\sa\sLIKE\spattern\sthat\sconsists\sof\sa\ssingle\sescape\ncharacter.
-D 2018-07-02T15:03:50.160
+C Fix\sa\ssegfault\scaused\sby\shaving\sidentical\swindow\sfunctions\sin\sthe\sselect-list\nand\sORDER\sBY\sclause\sof\sa\sSELECT\sstatement.
+D 2018-07-02T17:14:37.869
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -493,7 +493,7 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c e966ecc97c3671ff0e96227c8c877b83f2d33ea371ee190bbf1698b36b5605c0
 F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c f2f5533afd25cef8fa9d01cfd1ae0ef1e62872a9c7080778099b220b223b3816
+F src/resolve.c 1f965d00b4c26b7eb886b90c687069f5db0d05157dbc1ca406fe88e990eac671
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 82aa95aa1cfeadef5ecae1126afff1efca64c49050bbf7116425a8a1d4fc5e6c
 F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
@@ -1626,7 +1626,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
 F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test 6e817df58449ec92db67a76d4840ad5f4a6662af0d2e22328288523e2ba537e4
+F test/window6.test 6a7df4ab43b3acaf21486d023f0ae7401e189837c4d10a244f06ef5b809965fa
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1744,7 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 4f3c8a82fd1c5b14d84f2301e34cfc8d52fe4b3a60840c39e895c11f2da529d9
-R 947603f57703a72e98c481cdb1471c29
+P bb9bfc3a12dfb89b1c58f5551cdc89ab7b0fbe03f285f2ed86611786ed02ffd9
+R 869ea010a75065e221583f71c948b611
 U dan
-Z b6e0a0e0cc4dd2ca9103d3009ba7802b
+Z 376f884c9201b63aa371e9665eabb618
diff --git a/manifest.uuid b/manifest.uuid
index 72abf34945..e0b1989aed 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-bb9bfc3a12dfb89b1c58f5551cdc89ab7b0fbe03f285f2ed86611786ed02ffd9
\ No newline at end of file
+693b4350d741391226a33ab6a05eaad61e8ef1590176f01e8aed2a212e2d6419
\ No newline at end of file
diff --git a/src/resolve.c b/src/resolve.c
index 7c1d4b1620..13deeca92d 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -1243,6 +1243,17 @@ static int resolveOrderGroupBy(
     }
     for(j=0; j<pSelect->pEList->nExpr; j++){
       if( sqlite3ExprCompare(0, pE, pSelect->pEList->a[j].pExpr, -1)==0 ){
+#ifndef SQLITE_OMIT_WINDOWFUNC
+        if( pE->pWin ){
+          Window **pp;
+          for(pp=&pSelect->pWin; *pp; pp=&(*pp)->pNextWin){
+            if( *pp==pE->pWin ){
+              *pp = (*pp)->pNextWin;
+              break;
+            }    
+          }
+        }
+#endif
         pItem->u.x.iOrderByCol = j+1;
       }
     }
diff --git a/test/window6.test b/test/window6.test
index 040a570135..a244dfff60 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -170,6 +170,26 @@ do_execsql_test 7.1 {
   SELECT count(*) FROM t1 WHERE x LIKE '!' ESCAPE '!';
 } {0}
 
+#-------------------------------------------------------------------------
+#
+do_execsql_test 8.0 {
+  CREATE TABLE IF NOT EXISTS "sample" (
+      "id" INTEGER NOT NULL PRIMARY KEY, 
+      "counter" INTEGER NOT NULL, 
+      "value" REAL NOT NULL
+  );
+
+  INSERT INTO "sample" (counter, value) 
+  VALUES (1, 10.), (1, 20.), (2, 1.), (2, 3.), (3, 100.);
+}
+
+do_execsql_test 8.1 {
+  SELECT "counter", "value", RANK() OVER w AS "rank" 
+  FROM "sample"
+  WINDOW w AS (PARTITION BY "counter" ORDER BY "value" DESC) 
+  ORDER BY "counter", RANK() OVER w
+} {
+  1 20.0 1   1 10.0 2   2 3.0 1   2 1.0 2  3 100.0 1
+}
 
 finish_test
-

From d736829e8b9a0336039c90af415dc1fe89436458 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 2 Jul 2018 17:45:59 +0000
Subject: [PATCH 114/154] Fix a problem in the xInverse callback for the
 built-in sum() window function.

FossilOrigin-Name: b6563647382634588ebe5c6a3c35c65a321dc1b3732c809d48ce46759b9dd80f
---
 manifest          | 14 +++++++-------
 manifest.uuid     |  2 +-
 src/func.c        |  2 +-
 test/window6.test | 18 ++++++++++++++++++
 4 files changed, 27 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index 6f4766f979..f66a1393eb 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\ssegfault\scaused\sby\shaving\sidentical\swindow\sfunctions\sin\sthe\sselect-list\nand\sORDER\sBY\sclause\sof\sa\sSELECT\sstatement.
-D 2018-07-02T17:14:37.869
+C Fix\sa\sproblem\sin\sthe\sxInverse\scallback\sfor\sthe\sbuilt-in\ssum()\swindow\sfunction.
+D 2018-07-02T17:45:59.790
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -450,7 +450,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c 7e257eeffe9553c10a6ac0a1f0177bf740c4da834e7d6e2cbb7d3ebaa3d7f3e1
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c 8a002cd2eb217dcac2e2f3b1f1fc49315081f7c71dff3f0bbbb4c157b5d24b50
+F src/func.c 0aaa0b07ac4ba47529f2ce47434a5a367aec123ed2902ece84bfdd8f2b795fa1
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -1626,7 +1626,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
 F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test 6a7df4ab43b3acaf21486d023f0ae7401e189837c4d10a244f06ef5b809965fa
+F test/window6.test e8100090c9aa161cad55a6471a82b2ccba83534c8afdf3ec287262bb76c5e5df
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1744,7 +1744,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P bb9bfc3a12dfb89b1c58f5551cdc89ab7b0fbe03f285f2ed86611786ed02ffd9
-R 869ea010a75065e221583f71c948b611
+P 693b4350d741391226a33ab6a05eaad61e8ef1590176f01e8aed2a212e2d6419
+R 2a905c5056bd462d63ab558902828293
 U dan
-Z 376f884c9201b63aa371e9665eabb618
+Z e86ae3bb9d5c5564eb7cd669366300ff
diff --git a/manifest.uuid b/manifest.uuid
index e0b1989aed..88034b238c 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-693b4350d741391226a33ab6a05eaad61e8ef1590176f01e8aed2a212e2d6419
\ No newline at end of file
+b6563647382634588ebe5c6a3c35c65a321dc1b3732c809d48ce46759b9dd80f
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index ae2b767195..110dfe97ae 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1530,7 +1530,7 @@ static void sumInverse(sqlite3_context *context, int argc, sqlite3_value**argv){
         p->overflow = 1;
       }
     }else{
-      p->rSum += sqlite3_value_double(argv[0]);
+      p->rSum -= sqlite3_value_double(argv[0]);
       p->approx = 1;
     }
   }
diff --git a/test/window6.test b/test/window6.test
index a244dfff60..d50f510093 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -192,4 +192,22 @@ do_execsql_test 8.1 {
   1 20.0 1   1 10.0 2   2 3.0 1   2 1.0 2  3 100.0 1
 }
 
+do_execsql_test 8.2 {
+  SELECT "counter", "value", SUM("value") OVER 
+  (ORDER BY "id" ROWS 2 PRECEDING) 
+    FROM "sample" 
+  ORDER BY "id"
+} {
+  1 10.0 10.0   1 20.0 30.0   2 1.0 31.0   2 3.0 24.0   3 100.0 104.0
+}
+
+do_execsql_test 8.3 {
+  SELECT SUM("value") OVER 
+  (ORDER BY "id" ROWS BETWEEN 2 PRECEDING AND CURRENT ROW) 
+    FROM "sample" 
+  ORDER BY "id"
+} {
+  10.0   30.0   31.0   24.0   104.0
+}
+
 finish_test

From 7fee0bfad2234d0cd3b32cae84ad60c8bbddeaf2 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Tue, 3 Jul 2018 20:17:27 +0000
Subject: [PATCH 115/154] Test that a race condition can cause a "BEGIN
 EXCLUSIVE" to return SQLITE_BUSY_SNAPSHOT in wal mode.

FossilOrigin-Name: 5a12db75d1da65daa92413a6b5892309e9d9479bb3610764e1015abe5bf28dbe
---
 manifest               | 11 ++---
 manifest.uuid          |  2 +-
 test/walprotocol2.test | 97 ++++++++++++++++++++++++++++++++++++++++++
 3 files changed, 104 insertions(+), 6 deletions(-)
 create mode 100644 test/walprotocol2.test

diff --git a/manifest b/manifest
index f66a1393eb..2357a1bfd4 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\sproblem\sin\sthe\sxInverse\scallback\sfor\sthe\sbuilt-in\ssum()\swindow\sfunction.
-D 2018-07-02T17:45:59.790
+C Test\sthat\sa\srace\scondition\scan\scause\sa\s"BEGIN\sEXCLUSIVE"\sto\sreturn\nSQLITE_BUSY_SNAPSHOT\sin\swal\smode.
+D 2018-07-03T20:17:27.649
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -1583,6 +1583,7 @@ F test/walnoshm.test 84ca10c544632a756467336b7c3b864d493ee496
 F test/waloverwrite.test dad2f26567f1b45174e54fbf9a8dc1cb876a7f03
 F test/walpersist.test 8c6b7e3ec1ba91b5e4dc4e0921d6d3f87cd356a6
 F test/walprotocol.test a112aba0b79e3adeaa485fed09484b32c654e97df58e454aa8489ac2cd57bf84
+F test/walprotocol2.test ad92f036102f722b2d7f7ca7c1faf72d75f501a50c80a92d7fd87f8b1da6608c
 F test/walro.test cb438d05ba0d191f10b688e39c4f0cd5b71569a1d1f4440e5bdf3c6880e08c20
 F test/walro2.test 0e79dd15cbdb4f482c01ea248373669c732414a726b357d04846a816afafb768
 F test/walrofault.test c70cb6e308c443867701856cce92ad8288cd99488fa52afab77cca6cfd51af68
@@ -1744,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 693b4350d741391226a33ab6a05eaad61e8ef1590176f01e8aed2a212e2d6419
-R 2a905c5056bd462d63ab558902828293
+P b6563647382634588ebe5c6a3c35c65a321dc1b3732c809d48ce46759b9dd80f
+R 85d71bbec8ad4dcf2f8e9507c907b291
 U dan
-Z e86ae3bb9d5c5564eb7cd669366300ff
+Z 38cb85199c9d8fc14bf46fba2bfb3f49
diff --git a/manifest.uuid b/manifest.uuid
index 88034b238c..e6f611aeb3 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-b6563647382634588ebe5c6a3c35c65a321dc1b3732c809d48ce46759b9dd80f
\ No newline at end of file
+5a12db75d1da65daa92413a6b5892309e9d9479bb3610764e1015abe5bf28dbe
\ No newline at end of file
diff --git a/test/walprotocol2.test b/test/walprotocol2.test
new file mode 100644
index 0000000000..ea1c9a2f7d
--- /dev/null
+++ b/test/walprotocol2.test
@@ -0,0 +1,97 @@
+# 2018 July 4
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+#
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+source $testdir/lock_common.tcl
+source $testdir/wal_common.tcl
+ifcapable !wal {finish_test ; return }
+
+set testprefix walprotocol2
+
+#-------------------------------------------------------------------------
+# When recovering the contents of a WAL file, a process obtains the WRITER
+# lock, then locks all other bytes before commencing recovery. If it fails
+# to lock all other bytes (because some other process is holding a read
+# lock) it should retry up to 100 times. Then return SQLITE_PROTOCOL to the 
+# caller. Test this (test case 1.3).
+#
+# Also test the effect of hitting an SQLITE_BUSY while attempting to obtain
+# the WRITER lock (should be the same). Test case 1.4.
+# 
+do_execsql_test 1.0 {
+  PRAGMA journal_mode = wal;
+  CREATE TABLE x(y);
+  INSERT INTO x VALUES('z');
+} {wal}
+
+db close
+
+proc lock_callback {method filename handle lock} {
+  # puts "$method $filename $handle $lock"
+}
+testvfs T
+T filter xShmLock 
+T script lock_callback
+
+sqlite3 db  test.db -vfs T
+sqlite3 db2 test.db -vfs T
+
+do_execsql_test 2.0 {
+  SELECT * FROM x;
+} {z}
+do_execsql_test -db db2 2.1 {
+  SELECT * FROM x;
+} {z}
+
+#---------------------------------------------------------------
+# Attempt a "BEGIN EXCLUSIVE" using connection handle [db]. This
+# causes SQLite to open a read transaction, then a write transaction.
+# Rig the xShmLock() callback so that just before the EXCLUSIVE lock
+# for the write transaction is taken, connection [db2] jumps in and
+# modifies the database. This causes the "BEGIN EXCLUSIVE" to throw
+# an SQLITE_BUSY_SNAPSHOT error.
+#
+proc lock_callback {method filename handle lock} {
+  if {$lock=="0 1 lock exclusive"} {
+    proc lock_callback {method filename handle lock} {}
+    db2 eval { INSERT INTO x VALUES('y') }
+  }
+}
+do_catchsql_test 2.2 {
+  BEGIN EXCLUSIVE;
+} {1 {database is locked}}
+do_test 2.3 {
+  sqlite3_extended_errcode db
+} {SQLITE_BUSY_SNAPSHOT}
+
+#---------------------------------------------------------------
+# Same again, but with a busy-handler. This time, following the
+# SQLITE_BUSY_SNAPSHOT error the busy-handler is invoked and then the 
+# whole thing retried from the beginning. This time it succeeds.
+#
+proc lock_callback {method filename handle lock} {
+  if {$lock=="0 1 lock exclusive"} {
+    proc lock_callback {method filename handle lock} {}
+    db2 eval { INSERT INTO x VALUES('x') }
+  }
+}
+db timeout 10
+do_catchsql_test 2.4 {
+  BEGIN EXCLUSIVE;
+} {0 {}}
+do_execsql_test 2.5 {
+  SELECT * FROM x;
+  COMMIT;
+} {z y x}
+
+finish_test

From b07db116e7bc413bff9d479917671897a1e32ed2 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 5 Jul 2018 15:46:55 +0000
Subject: [PATCH 116/154] In wal mode, if a "BEGIN EXCLUSIVE" command (or any
 other command that upgrades from no transaction directly to a write
 transaction) hits an SQLITE_BUSY_SNAPSHOT error, change the error code to
 SQLITE_BUSY to indicate to the caller that the condition may be transient.

FossilOrigin-Name: 221ff63e7902226ebf728bb7442727420636831163708f360724506ce9487ab6
---
 manifest               | 14 +++++++-------
 manifest.uuid          |  2 +-
 src/btree.c            |  8 ++++++++
 test/walprotocol2.test |  2 +-
 4 files changed, 17 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index 2357a1bfd4..04e6ce195e 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Test\sthat\sa\srace\scondition\scan\scause\sa\s"BEGIN\sEXCLUSIVE"\sto\sreturn\nSQLITE_BUSY_SNAPSHOT\sin\swal\smode.
-D 2018-07-03T20:17:27.649
+C In\swal\smode,\sif\sa\s"BEGIN\sEXCLUSIVE"\scommand\s(or\sany\sother\scommand\sthat\nupgrades\sfrom\sno\stransaction\sdirectly\sto\sa\swrite\stransaction)\shits\san\nSQLITE_BUSY_SNAPSHOT\serror,\schange\sthe\serror\scode\sto\sSQLITE_BUSY\sto\sindicate\nto\sthe\scaller\sthat\sthe\scondition\smay\sbe\stransient.
+D 2018-07-05T15:46:55.944
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -436,7 +436,7 @@ F src/auth.c a38f3c63c974787ecf75e3213f8cac6568b9a7af7591fb0372ec0517dd16dca8
 F src/backup.c 78d3cecfbe28230a3a9a1793e2ead609f469be43e8f486ca996006be551857ab
 F src/bitvec.c 17ea48eff8ba979f1f5b04cc484c7bb2be632f33
 F src/btmutex.c 8acc2f464ee76324bf13310df5692a262b801808984c1b79defb2503bbafadb6
-F src/btree.c bb23e5470ec0c9b9ae8e17c86cb686bc4112642d8f457bd42b3b3727d5ef78be
+F src/btree.c c2b55e3a31ad28c380e71053210fb3b28cc9c8d80b1a0aa2cb8566594f01e154
 F src/btree.h febb2e817be499570b7a2e32a9bbb4b607a9234f6b84bb9ae84916d4806e96f2
 F src/btreeInt.h 620ab4c7235f43572cf3ac2ac8723cbdf68073be4d29da24897c7b77dda5fd96
 F src/build.c 3b3bfa88800739e1f11313dcecfba5ef8e4757b6c929cdf7de9fcfc01002b81f
@@ -1583,7 +1583,7 @@ F test/walnoshm.test 84ca10c544632a756467336b7c3b864d493ee496
 F test/waloverwrite.test dad2f26567f1b45174e54fbf9a8dc1cb876a7f03
 F test/walpersist.test 8c6b7e3ec1ba91b5e4dc4e0921d6d3f87cd356a6
 F test/walprotocol.test a112aba0b79e3adeaa485fed09484b32c654e97df58e454aa8489ac2cd57bf84
-F test/walprotocol2.test ad92f036102f722b2d7f7ca7c1faf72d75f501a50c80a92d7fd87f8b1da6608c
+F test/walprotocol2.test 7d3b6b4bf0b12f8007121b1e6ef714bc99101fb3b48e46371df1db868eebc131
 F test/walro.test cb438d05ba0d191f10b688e39c4f0cd5b71569a1d1f4440e5bdf3c6880e08c20
 F test/walro2.test 0e79dd15cbdb4f482c01ea248373669c732414a726b357d04846a816afafb768
 F test/walrofault.test c70cb6e308c443867701856cce92ad8288cd99488fa52afab77cca6cfd51af68
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P b6563647382634588ebe5c6a3c35c65a321dc1b3732c809d48ce46759b9dd80f
-R 85d71bbec8ad4dcf2f8e9507c907b291
+P 5a12db75d1da65daa92413a6b5892309e9d9479bb3610764e1015abe5bf28dbe
+R 00aacb5685c6162d17656913a07b3ca6
 U dan
-Z 38cb85199c9d8fc14bf46fba2bfb3f49
+Z 4f4ad7f92fd320b45a2f26133826954c
diff --git a/manifest.uuid b/manifest.uuid
index e6f611aeb3..b85851f8a9 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-5a12db75d1da65daa92413a6b5892309e9d9479bb3610764e1015abe5bf28dbe
\ No newline at end of file
+221ff63e7902226ebf728bb7442727420636831163708f360724506ce9487ab6
\ No newline at end of file
diff --git a/src/btree.c b/src/btree.c
index d2c580d11d..cb1044155d 100644
--- a/src/btree.c
+++ b/src/btree.c
@@ -3424,6 +3424,14 @@ int sqlite3BtreeBeginTrans(Btree *p, int wrflag, int *pSchemaVersion){
         }
       }
     }
+  }else if( rc==SQLITE_BUSY_SNAPSHOT && pBt->inTransaction==TRANS_NONE ){
+    /* Even if there was no transaction opened when this function was
+    ** called, a race condition may cause an SQLITE_BUSY_SNAPSHOT error
+    ** in wal mode (since the code above opens a read-transaction and then
+    ** upgrades it to a write-transaction - it does not take the write lock
+    ** atomically). In this case change the error code to SQLITE_BUSY.  */
+    assert( wrFlag );
+    rc = SQLITE_BUSY;
   }
 
 
diff --git a/test/walprotocol2.test b/test/walprotocol2.test
index ea1c9a2f7d..0792c9aae0 100644
--- a/test/walprotocol2.test
+++ b/test/walprotocol2.test
@@ -72,7 +72,7 @@ do_catchsql_test 2.2 {
 } {1 {database is locked}}
 do_test 2.3 {
   sqlite3_extended_errcode db
-} {SQLITE_BUSY_SNAPSHOT}
+} {SQLITE_BUSY}
 
 #---------------------------------------------------------------
 # Same again, but with a busy-handler. This time, following the

From b775104357ff834e2e1e726ff945e74dde4605bf Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 5 Jul 2018 17:03:43 +0000
Subject: [PATCH 117/154] Fix a typo inside an assert() statement introduced by
 the previous commit.

FossilOrigin-Name: e3357728472d5e57db6d7eef0ce008bdee071b5b07b60e242f383440eebe85bd
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/btree.c   |  2 +-
 3 files changed, 8 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 04e6ce195e..b888f1874b 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C In\swal\smode,\sif\sa\s"BEGIN\sEXCLUSIVE"\scommand\s(or\sany\sother\scommand\sthat\nupgrades\sfrom\sno\stransaction\sdirectly\sto\sa\swrite\stransaction)\shits\san\nSQLITE_BUSY_SNAPSHOT\serror,\schange\sthe\serror\scode\sto\sSQLITE_BUSY\sto\sindicate\nto\sthe\scaller\sthat\sthe\scondition\smay\sbe\stransient.
-D 2018-07-05T15:46:55.944
+C Fix\sa\stypo\sinside\san\sassert()\sstatement\sintroduced\sby\sthe\sprevious\scommit.
+D 2018-07-05T17:03:43.644
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -436,7 +436,7 @@ F src/auth.c a38f3c63c974787ecf75e3213f8cac6568b9a7af7591fb0372ec0517dd16dca8
 F src/backup.c 78d3cecfbe28230a3a9a1793e2ead609f469be43e8f486ca996006be551857ab
 F src/bitvec.c 17ea48eff8ba979f1f5b04cc484c7bb2be632f33
 F src/btmutex.c 8acc2f464ee76324bf13310df5692a262b801808984c1b79defb2503bbafadb6
-F src/btree.c c2b55e3a31ad28c380e71053210fb3b28cc9c8d80b1a0aa2cb8566594f01e154
+F src/btree.c 757b29862c2fa6db149cf92117a6d22591bcad4b5ff1388fd480e479852a9694
 F src/btree.h febb2e817be499570b7a2e32a9bbb4b607a9234f6b84bb9ae84916d4806e96f2
 F src/btreeInt.h 620ab4c7235f43572cf3ac2ac8723cbdf68073be4d29da24897c7b77dda5fd96
 F src/build.c 3b3bfa88800739e1f11313dcecfba5ef8e4757b6c929cdf7de9fcfc01002b81f
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 5a12db75d1da65daa92413a6b5892309e9d9479bb3610764e1015abe5bf28dbe
-R 00aacb5685c6162d17656913a07b3ca6
+P 221ff63e7902226ebf728bb7442727420636831163708f360724506ce9487ab6
+R 6292256afd58b3bdc21661c68c4c01f5
 U dan
-Z 4f4ad7f92fd320b45a2f26133826954c
+Z 7030dc2937cfaf6aca4912e5a05c04a5
diff --git a/manifest.uuid b/manifest.uuid
index b85851f8a9..8c9534cf91 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-221ff63e7902226ebf728bb7442727420636831163708f360724506ce9487ab6
\ No newline at end of file
+e3357728472d5e57db6d7eef0ce008bdee071b5b07b60e242f383440eebe85bd
\ No newline at end of file
diff --git a/src/btree.c b/src/btree.c
index cb1044155d..27e20e8ace 100644
--- a/src/btree.c
+++ b/src/btree.c
@@ -3430,7 +3430,7 @@ int sqlite3BtreeBeginTrans(Btree *p, int wrflag, int *pSchemaVersion){
     ** in wal mode (since the code above opens a read-transaction and then
     ** upgrades it to a write-transaction - it does not take the write lock
     ** atomically). In this case change the error code to SQLITE_BUSY.  */
-    assert( wrFlag );
+    assert( wrflag );
     rc = SQLITE_BUSY;
   }
 

From f213b33c372dfa790988a15fc9d7cd5c02cd05c2 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Thu, 5 Jul 2018 17:35:46 +0000
Subject: [PATCH 118/154] Fix the .dump command in the command-line shell so
 that it does not show extraneous SELECT statements when ".echo on" is
 enabled.

FossilOrigin-Name: 11763cac33fa809bcf0294d1a381394fcf860b020b51fff81217ee709ba99272
---
 manifest       | 15 +++++++--------
 manifest.uuid  |  2 +-
 src/shell.c.in |  4 +++-
 3 files changed, 11 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index 64d53e2fec..27fed79768 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C In\swal\smode,\sif\sa\s"BEGIN\sEXCLUSIVE"\scommand\s(or\sany\sother\scommand\sthat\nupgrades\sfrom\sno\stransaction\sdirectly\sto\sa\swrite\stransaction)\shits\san\nSQLITE_BUSY_SNAPSHOT\serror,\schange\sthe\serror\scode\sto\sSQLITE_BUSY\sto\sindicate\nto\sthe\scaller\sthat\sthe\scondition\smay\sbe\stransient.
-D 2018-07-05T17:16:55.340
+C Fix\sthe\s.dump\scommand\sin\sthe\scommand-line\sshell\sso\sthat\sit\sdoes\snot\sshow\nextraneous\sSELECT\sstatements\swhen\s".echo\son"\sis\senabled.
+D 2018-07-05T17:35:46.748
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -496,7 +496,7 @@ F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 1f965d00b4c26b7eb886b90c687069f5db0d05157dbc1ca406fe88e990eac671
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 82aa95aa1cfeadef5ecae1126afff1efca64c49050bbf7116425a8a1d4fc5e6c
-F src/shell.c.in 8578421c5fb2a972461b2a996f7173646e55e0dbd2a2eee30c8f5dc7d3dbadfd
+F src/shell.c.in f1c79c537117ee61317a5ed85cdbcb854998cd690eb34ab803779358a2ace780
 F src/sqlite.h.in 243e0b1d302c237372c06002fe84f731fd22587eccd142d15de834a5296514ff
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
@@ -1745,8 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 5a12db75d1da65daa92413a6b5892309e9d9479bb3610764e1015abe5bf28dbe e3357728472d5e57db6d7eef0ce008bdee071b5b07b60e242f383440eebe85bd
-R 033b09a0f95c9e18f2482abfb8812158
-T +closed e3357728472d5e57db6d7eef0ce008bdee071b5b07b60e242f383440eebe85bd
-U dan
-Z e957a80e23c286301ec669959e08c13c
+P e6108047cb136119d8ed19af010a669ed9750b4e7f991ccabc9e3d15774eda31
+R eebc653c116db5bba196348ae6abf96b
+U drh
+Z e2f5395825a2a7cefe1f3d098f5f112e
diff --git a/manifest.uuid b/manifest.uuid
index 84b34c2982..2d980b718f 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-e6108047cb136119d8ed19af010a669ed9750b4e7f991ccabc9e3d15774eda31
\ No newline at end of file
+11763cac33fa809bcf0294d1a381394fcf860b020b51fff81217ee709ba99272
\ No newline at end of file
diff --git a/src/shell.c.in b/src/shell.c.in
index 38a8991b9d..66c0c5b67e 100644
--- a/src/shell.c.in
+++ b/src/shell.c.in
@@ -5862,7 +5862,8 @@ static int do_meta_command(char *zLine, ShellState *p){
     const char *zLike = 0;
     int i;
     int savedShowHeader = p->showHeader;
-    ShellClearFlag(p, SHFLG_PreserveRowid|SHFLG_Newlines);
+    int savedShellFlags = p->shellFlgs;
+    ShellClearFlag(p, SHFLG_PreserveRowid|SHFLG_Newlines|SHFLG_Echo);
     for(i=1; i<nArg; i++){
       if( azArg[i][0]=='-' ){
         const char *z = azArg[i]+1;
@@ -5944,6 +5945,7 @@ static int do_meta_command(char *zLine, ShellState *p){
     sqlite3_exec(p->db, "RELEASE dump;", 0, 0, 0);
     raw_printf(p->out, p->nErr ? "ROLLBACK; -- due to errors\n" : "COMMIT;\n");
     p->showHeader = savedShowHeader;
+    p->shellFlgs = savedShellFlags;
   }else
 
   if( c=='e' && strncmp(azArg[0], "echo", n)==0 ){

From 683b0fffeeb704ea7166a6bd4c5945e66b3b9478 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 5 Jul 2018 18:19:29 +0000
Subject: [PATCH 119/154] Fix a problem in the xInverse method of
 window-function group_concat(1).

FossilOrigin-Name: 73391283101288251fe5d030ba12bcdabe8a781d41086afe3564c58c05d0fd5c
---
 manifest          | 16 ++++++++--------
 manifest.uuid     |  2 +-
 src/func.c        |  2 ++
 test/window6.test |  8 ++++++++
 4 files changed, 19 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index 27fed79768..564315f17a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sthe\s.dump\scommand\sin\sthe\scommand-line\sshell\sso\sthat\sit\sdoes\snot\sshow\nextraneous\sSELECT\sstatements\swhen\s".echo\son"\sis\senabled.
-D 2018-07-05T17:35:46.748
+C Fix\sa\sproblem\sin\sthe\sxInverse\smethod\sof\swindow-function\sgroup_concat(1).
+D 2018-07-05T18:19:29.792
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -450,7 +450,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c 7e257eeffe9553c10a6ac0a1f0177bf740c4da834e7d6e2cbb7d3ebaa3d7f3e1
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c 0aaa0b07ac4ba47529f2ce47434a5a367aec123ed2902ece84bfdd8f2b795fa1
+F src/func.c edbd402a742605bf984c56ed818bf0d59c4ba8085a391c7545cc9cbfc4224f83
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -1627,7 +1627,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
 F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test e8100090c9aa161cad55a6471a82b2ccba83534c8afdf3ec287262bb76c5e5df
+F test/window6.test 378d6acda7c1a459ca28a364a894cfda8541db65333f4a9a8a34535ef30cdd63
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P e6108047cb136119d8ed19af010a669ed9750b4e7f991ccabc9e3d15774eda31
-R eebc653c116db5bba196348ae6abf96b
-U drh
-Z e2f5395825a2a7cefe1f3d098f5f112e
+P 11763cac33fa809bcf0294d1a381394fcf860b020b51fff81217ee709ba99272
+R 684aa1b485b1ad0a8c1edc1d870381d5
+U dan
+Z 3c7d5920ae853aa57c78a77e8dae9dd5
diff --git a/manifest.uuid b/manifest.uuid
index 2d980b718f..7d21a57aa3 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-11763cac33fa809bcf0294d1a381394fcf860b020b51fff81217ee709ba99272
\ No newline at end of file
+73391283101288251fe5d030ba12bcdabe8a781d41086afe3564c58c05d0fd5c
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index 110dfe97ae..74c2a1b52b 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1728,6 +1728,8 @@ static void groupConcatInverse(
     n = sqlite3_value_bytes(argv[0]);
     if( argc==2 ){
       n += sqlite3_value_bytes(argv[1]);
+    }else{
+      n++;
     }
     if( n>=pAccum->nChar ){
       pAccum->nChar = 0;
diff --git a/test/window6.test b/test/window6.test
index d50f510093..8c4f9e817a 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -210,4 +210,12 @@ do_execsql_test 8.3 {
   10.0   30.0   31.0   24.0   104.0
 }
 
+do_execsql_test 9.0 {
+  WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
+  SELECT x, group_concat(x) OVER (ORDER BY x ROWS 2 PRECEDING)
+  FROM c;
+} {
+  1 1  2 1,2  3 1,2,3  4 2,3,4  5 3,4,5
+}
+
 finish_test

From 7a606e1ab2daa216834a557da342fa692cb0bc76 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 5 Jul 2018 18:34:53 +0000
Subject: [PATCH 120/154] Return an error if a "RANGE" window-frame uses
 "<expr> PRECEDING" or "<expr> FOLLOWING".

FossilOrigin-Name: 786c87ba4150509e141baab32c51e64bbd3ce323735e0f47d65ed54d14215bc4
---
 manifest          | 14 +++++++-------
 manifest.uuid     |  2 +-
 src/window.c      | 10 +++++++++-
 test/window6.test | 11 +++++++++++
 4 files changed, 28 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index 564315f17a..c19ed5b7cb 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\sproblem\sin\sthe\sxInverse\smethod\sof\swindow-function\sgroup_concat(1).
-D 2018-07-05T18:19:29.792
+C Return\san\serror\sif\sa\s"RANGE"\swindow-frame\suses\s"<expr>\sPRECEDING"\sor\s"<expr>\nFOLLOWING".
+D 2018-07-05T18:34:53.220
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 7df0313f9b21c904e51226b24c0203aa26be502202f469143bacc5e74ebc0d38
+F src/window.c 00df6e1bb85b5f4d07259303316277e8725edaaa01f156a395ce09a2f253656c
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1627,7 +1627,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
 F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test 378d6acda7c1a459ca28a364a894cfda8541db65333f4a9a8a34535ef30cdd63
+F test/window6.test 601baeb467fb2e877b3ad89f87a098bf9977a6d197e14913b93cdb509de2d7cd
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 11763cac33fa809bcf0294d1a381394fcf860b020b51fff81217ee709ba99272
-R 684aa1b485b1ad0a8c1edc1d870381d5
+P 73391283101288251fe5d030ba12bcdabe8a781d41086afe3564c58c05d0fd5c
+R e2d8bd888d8359c89112b96b5805f3f9
 U dan
-Z 3c7d5920ae853aa57c78a77e8dae9dd5
+Z 61151c44890df0915ca49d8561fa462d
diff --git a/manifest.uuid b/manifest.uuid
index 7d21a57aa3..f3f2a9156d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-73391283101288251fe5d030ba12bcdabe8a781d41086afe3564c58c05d0fd5c
\ No newline at end of file
+786c87ba4150509e141baab32c51e64bbd3ce323735e0f47d65ed54d14215bc4
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 6cc9b7edd5..87cb0cea0d 100644
--- a/src/window.c
+++ b/src/window.c
@@ -837,7 +837,15 @@ Window *sqlite3WindowAlloc(
   int eStart, Expr *pStart,
   int eEnd, Expr *pEnd
 ){
-  Window *pWin = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
+  Window *pWin = 0;
+
+  if( eType==TK_RANGE && (pStart || pEnd) ){
+    sqlite3ErrorMsg(pParse, "RANGE %s is only supported with UNBOUNDED",
+        (pStart ? "PRECEDING" : "FOLLOWING")
+    );
+  }else{
+    pWin = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
+  }
 
   if( pWin ){
     assert( eType );
diff --git a/test/window6.test b/test/window6.test
index 8c4f9e817a..36cfa2cbcd 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -217,5 +217,16 @@ do_execsql_test 9.0 {
 } {
   1 1  2 1,2  3 1,2,3  4 2,3,4  5 3,4,5
 }
+do_catchsql_test 9.1 {
+  WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
+  SELECT x, group_concat(x) OVER (ORDER BY x RANGE 2 PRECEDING)
+  FROM c;
+} {1 {RANGE PRECEDING is only supported with UNBOUNDED}}
+do_catchsql_test 9.2 {
+  WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
+  SELECT x, group_concat(x) OVER (ORDER BY x RANGE BETWEEN UNBOUNDED PRECEDING AND 2 FOLLOWING)
+  FROM c;
+} {1 {RANGE FOLLOWING is only supported with UNBOUNDED}}
 
 finish_test
+

From 8be47a7e86bc6f40999cf2cdd98a9af1d1c99aef Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Thu, 5 Jul 2018 20:05:29 +0000
Subject: [PATCH 121/154] Get the json_group_array() and json_group_object()
 SQL functions working as window functions.

FossilOrigin-Name: 916cdc83f5a45e0b6f61c52ff5fde70d54bcd0dfaa4a32f9ac709fe0ddbb480b
---
 ext/misc/json1.c  | 74 ++++++++++++++++++++++++++++++++++++++++++-----
 manifest          | 18 ++++++------
 manifest.uuid     |  2 +-
 src/vdbe.c        |  2 +-
 test/json103.test | 20 +++++++++++++
 5 files changed, 97 insertions(+), 19 deletions(-)

diff --git a/ext/misc/json1.c b/ext/misc/json1.c
index 735e3c94ac..398dd465c9 100644
--- a/ext/misc/json1.c
+++ b/ext/misc/json1.c
@@ -1802,7 +1802,7 @@ static void jsonArrayStep(
     jsonAppendValue(pStr, argv[0]);
   }
 }
-static void jsonArrayFinal(sqlite3_context *ctx){
+static void jsonArrayCompute(sqlite3_context *ctx, int isFinal){
   JsonString *pStr;
   pStr = (JsonString*)sqlite3_aggregate_context(ctx, 0);
   if( pStr ){
@@ -1811,16 +1811,60 @@ static void jsonArrayFinal(sqlite3_context *ctx){
     if( pStr->bErr ){
       if( pStr->bErr==1 ) sqlite3_result_error_nomem(ctx);
       assert( pStr->bStatic );
-    }else{
+    }else if( isFinal ){
       sqlite3_result_text(ctx, pStr->zBuf, pStr->nUsed,
                           pStr->bStatic ? SQLITE_TRANSIENT : sqlite3_free);
       pStr->bStatic = 1;
+    }else{
+      sqlite3_result_text(ctx, pStr->zBuf, pStr->nUsed, SQLITE_TRANSIENT);
+      pStr->nUsed--;
     }
   }else{
     sqlite3_result_text(ctx, "[]", 2, SQLITE_STATIC);
   }
   sqlite3_result_subtype(ctx, JSON_SUBTYPE);
 }
+static void jsonArrayValue(sqlite3_context *ctx){
+  jsonArrayCompute(ctx, 0);
+}
+static void jsonArrayFinal(sqlite3_context *ctx){
+  jsonArrayCompute(ctx, 1);
+}
+
+#ifndef SQLITE_OMIT_WINDOWFUNC
+/*
+** This method works for both json_group_array() and json_group_object().
+** It works by removing the first element of the group by searching forward
+** to the first comma (",") that is not within a string and deleting all
+** text through that comma.
+*/
+static void jsonGroupInverse(
+  sqlite3_context *ctx,
+  int argc,
+  sqlite3_value **argv
+){
+  int i;
+  int inStr = 0;
+  char *z;
+  JsonString *pStr;
+  pStr = (JsonString*)sqlite3_aggregate_context(ctx, 0);
+  if( !pStr ) return;
+  z = pStr->zBuf;
+  for(i=1; z[i]!=',' || inStr; i++){
+    assert( i<pStr->nUsed );
+    if( z[i]=='"' ){
+      inStr = !inStr;
+    }else if( z[i]=='\\' ){
+      i++;
+    }
+  }
+  pStr->nUsed -= i;      
+  memmove(&z[1], &z[i+1], pStr->nUsed-1);
+}
+#else
+# define jsonGroupInverse 0
+#endif
+
 
 /*
 ** json_group_obj(NAME,VALUE)
@@ -1852,7 +1896,7 @@ static void jsonObjectStep(
     jsonAppendValue(pStr, argv[1]);
   }
 }
-static void jsonObjectFinal(sqlite3_context *ctx){
+static void jsonObjectCompute(sqlite3_context *ctx, int isFinal){
   JsonString *pStr;
   pStr = (JsonString*)sqlite3_aggregate_context(ctx, 0);
   if( pStr ){
@@ -1860,16 +1904,26 @@ static void jsonObjectFinal(sqlite3_context *ctx){
     if( pStr->bErr ){
       if( pStr->bErr==1 ) sqlite3_result_error_nomem(ctx);
       assert( pStr->bStatic );
-    }else{
+    }else if( isFinal ){
       sqlite3_result_text(ctx, pStr->zBuf, pStr->nUsed,
                           pStr->bStatic ? SQLITE_TRANSIENT : sqlite3_free);
       pStr->bStatic = 1;
+    }else{
+      sqlite3_result_text(ctx, pStr->zBuf, pStr->nUsed, SQLITE_TRANSIENT);
+      pStr->nUsed--;
     }
   }else{
     sqlite3_result_text(ctx, "{}", 2, SQLITE_STATIC);
   }
   sqlite3_result_subtype(ctx, JSON_SUBTYPE);
 }
+static void jsonObjectValue(sqlite3_context *ctx){
+  jsonObjectCompute(ctx, 0);
+}
+static void jsonObjectFinal(sqlite3_context *ctx){
+  jsonObjectCompute(ctx, 1);
+}
+
 
 
 #ifndef SQLITE_OMIT_VIRTUALTABLE
@@ -2377,9 +2431,12 @@ int sqlite3Json1Init(sqlite3 *db){
      int nArg;
      void (*xStep)(sqlite3_context*,int,sqlite3_value**);
      void (*xFinal)(sqlite3_context*);
+     void (*xValue)(sqlite3_context*);
   } aAgg[] = {
-    { "json_group_array",     1,   jsonArrayStep,   jsonArrayFinal  },
-    { "json_group_object",    2,   jsonObjectStep,  jsonObjectFinal },
+    { "json_group_array",     1,
+      jsonArrayStep,   jsonArrayFinal,  jsonArrayValue  },
+    { "json_group_object",    2,
+      jsonObjectStep,  jsonObjectFinal, jsonObjectValue },
   };
 #ifndef SQLITE_OMIT_VIRTUALTABLE
   static const struct {
@@ -2397,9 +2454,10 @@ int sqlite3Json1Init(sqlite3 *db){
                                  aFunc[i].xFunc, 0, 0);
   }
   for(i=0; i<sizeof(aAgg)/sizeof(aAgg[0]) && rc==SQLITE_OK; i++){
-    rc = sqlite3_create_function(db, aAgg[i].zName, aAgg[i].nArg,
+    rc = sqlite3_create_window_function(db, aAgg[i].zName, aAgg[i].nArg,
                                  SQLITE_UTF8 | SQLITE_DETERMINISTIC, 0,
-                                 0, aAgg[i].xStep, aAgg[i].xFinal);
+                                 aAgg[i].xStep, aAgg[i].xFinal,
+                                 aAgg[i].xValue, jsonGroupInverse, 0);
   }
 #ifndef SQLITE_OMIT_VIRTUALTABLE
   for(i=0; i<sizeof(aMod)/sizeof(aMod[0]) && rc==SQLITE_OK; i++){
diff --git a/manifest b/manifest
index c19ed5b7cb..cd0c49c7e2 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Return\san\serror\sif\sa\s"RANGE"\swindow-frame\suses\s"<expr>\sPRECEDING"\sor\s"<expr>\nFOLLOWING".
-D 2018-07-05T18:34:53.220
+C Get\sthe\sjson_group_array()\sand\sjson_group_object()\sSQL\sfunctions\sworking\nas\swindow\sfunctions.
+D 2018-07-05T20:05:29.904
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -281,7 +281,7 @@ F ext/misc/eval.c 6ea9b22a5fa0dd973b67ca4e53555be177bc0b7b263aadf1024429457c82c0
 F ext/misc/fileio.c 48c7751c78fc4cdd29d8c862fd2f3f98bbfefa2a3cf1ca1496df4bf02eb8cded
 F ext/misc/fuzzer.c 7c64b8197bb77b7d64eff7cac7848870235d4c25
 F ext/misc/ieee754.c f190d0cc5182529acb15babd177781be1ac1718c
-F ext/misc/json1.c 02f5f0d9c131df79f4ee168d2b426f0f0d273b7771fc0bb5293c4e7692d9a2ee
+F ext/misc/json1.c 8dca18a64560481f566fe03e26b60dfc95b665c709be86934d261ac21d6f1c2f
 F ext/misc/memvfs.c ab36f49e02ebcdf85a1e08dc4d8599ea8f343e073ac9e0bca18a98b7e1ec9567
 F ext/misc/mmapwarm.c 70b618f2d0bde43fae288ad0b7498a629f2b6f61b50a27e06fae3cd23c83af29
 F ext/misc/nextchar.c 35c8b8baacb96d92abbb34a83a997b797075b342
@@ -566,7 +566,7 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c 37b942ccdd224dd51bd80312b8d236f27c7c728e76c3f425c50e9d8ecff3b7b4
+F src/vdbe.c ff748307932fac5a5a983a20a4d8805aff7b0f310ca58cff4051df96d34a4dc8
 F src/vdbe.h 847735b3e083285aa225d2bf1fe97107a0a2b8942c80d643cdb764990705820d
 F src/vdbeInt.h 6b5cbd338dc9aaad343fb11b455e47463b0474d9f79710f50e647158941146e0
 F src/vdbeapi.c e35f813312b0f6e8e2835b357f121e0d1da6d3013bac3e367fe4efd518e7a2ec
@@ -1028,7 +1028,7 @@ F test/jrnlmode2.test 8759a1d4657c064637f8b079592651530db738419e1d649c6df7048cd7
 F test/jrnlmode3.test 556b447a05be0e0963f4311e95ab1632b11c9eaa
 F test/json101.test b40a9f5395d8e669b0bc3eb550ad2ae9e5ada01fbce23c446c2a30a305a6d575
 F test/json102.test eeb54efa221e50b74a2d6fb9259963b48d7414dca3ce2fdfdeed45cb28487bc1
-F test/json103.test c5f6b85e69de05f6b3195f9f9d5ce9cd179099a0
+F test/json103.test aff6b7a4c17d5a20b487a7bc1a274bfdc63b829413bdfb83bedac42ec7f67e3b
 F test/json104.test 877d5845f6303899b7889ea5dd1bea99076e3100574d5c536082245c5805dcaa
 F test/keyword1.test 37ef6bba5d2ed5b07ecdd6810571de2956599dff
 F test/kvtest.c 94da54bb66aae7a54e47cf7e4ea4acecc0f217560f79ad3abfcc0361d6d557ba
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 73391283101288251fe5d030ba12bcdabe8a781d41086afe3564c58c05d0fd5c
-R e2d8bd888d8359c89112b96b5805f3f9
-U dan
-Z 61151c44890df0915ca49d8561fa462d
+P 786c87ba4150509e141baab32c51e64bbd3ce323735e0f47d65ed54d14215bc4
+R d772fd50a83277dafc7b2d62ea89dd92
+U drh
+Z fcfb43d365d0b34e61224fdf77a12270
diff --git a/manifest.uuid b/manifest.uuid
index f3f2a9156d..c143816246 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-786c87ba4150509e141baab32c51e64bbd3ce323735e0f47d65ed54d14215bc4
\ No newline at end of file
+916cdc83f5a45e0b6f61c52ff5fde70d54bcd0dfaa4a32f9ac709fe0ddbb480b
\ No newline at end of file
diff --git a/src/vdbe.c b/src/vdbe.c
index 6eb5f95024..2b449b9466 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -6411,7 +6411,7 @@ case OP_AggStep: {
 ** P4 is a pointer to the FuncDef for this function.  The P2
 ** argument is not used by this opcode.  It is only there to disambiguate
 ** functions that can take varying numbers of arguments.  The
-** P4 argument is only needed for the degenerate case where
+** P4 argument is only needed for the case where
 ** the step function was not previously called.
 */
 case OP_AggFinal: {
diff --git a/test/json103.test b/test/json103.test
index d7d12e3378..35580ce4ea 100644
--- a/test/json103.test
+++ b/test/json103.test
@@ -75,4 +75,24 @@ do_execsql_test json103-300 {
     FROM t1;
 } {{[1,"abc"]} {[{"x":1},{"x":"abc"}]}}
 
+# json_group_array() and json_group_object() work as window functions.
+#
+ifcapable windowfunc {
+  do_execsql_test json103-400 {
+    CREATE TABLE t4(x);
+    INSERT INTO t4 VALUES
+      (1),
+      ('a,b'),
+      (3),
+      ('x"y'),
+      (5),
+      (6),
+      (7);
+    SELECT json_group_array(x) OVER (ROWS 2 PRECEDING) FROM t4;
+  } {{[1]} {[1,"a,b"]} {[1,"a,b",3]} {["a,b",3,"x\"y"]} {[3,"x\"y",5]} {["x\"y",5,6]} {[5,6,7]}}
+  do_execsql_test json103-410 {
+    SELECT json_group_object(rowid, x) OVER (ROWS 2 PRECEDING) FROM t4;
+  } {{{"1":1}} {{"1":1,"2":"a,b"}} {{"1":1,"2":"a,b","3":3}} {{"2":"a,b","3":3,"4":"x\"y"}} {{"3":3,"4":"x\"y","5":5}} {{"4":"x\"y","5":5,"6":6}} {{"5":5,"6":6,"7":7}}}
+}
+
 finish_test

From 6ea9a7282a9c4dd5ef3e1f23c882d297d69b9670 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Thu, 5 Jul 2018 20:33:06 +0000
Subject: [PATCH 122/154] Update the recipe for resetting a database using
 SQLITE_DBCONFIG_RESET_DATABASE.

FossilOrigin-Name: c43dd23fb00f7e0b6274de435d8e31f6a4cb74c3e86e8313a5098ff089e27574
---
 manifest          | 16 ++++++++--------
 manifest.uuid     |  2 +-
 src/sqlite.h.in   |  6 ++++++
 test/resetdb.test | 22 ++++++++++++++++++++++
 4 files changed, 37 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index cd0c49c7e2..4120e948c7 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Get\sthe\sjson_group_array()\sand\sjson_group_object()\sSQL\sfunctions\sworking\nas\swindow\sfunctions.
-D 2018-07-05T20:05:29.904
+C Update\sthe\srecipe\sfor\sresetting\sa\sdatabase\susing\nSQLITE_DBCONFIG_RESET_DATABASE.
+D 2018-07-05T20:33:06.498
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -497,7 +497,7 @@ F src/resolve.c 1f965d00b4c26b7eb886b90c687069f5db0d05157dbc1ca406fe88e990eac671
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c 82aa95aa1cfeadef5ecae1126afff1efca64c49050bbf7116425a8a1d4fc5e6c
 F src/shell.c.in f1c79c537117ee61317a5ed85cdbcb854998cd690eb34ab803779358a2ace780
-F src/sqlite.h.in 243e0b1d302c237372c06002fe84f731fd22587eccd142d15de834a5296514ff
+F src/sqlite.h.in 36f0b3f88241863530f4b7e57e673e19311dd609ec4edad83b23291928cdf853
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
 F src/sqliteInt.h c14c850bf0c4dd3860cc5092f140ae9faf93b77737b3febf38454088e1ab3988
@@ -1177,7 +1177,7 @@ F test/regexp1.test 497ea812f264d12b6198d6e50a76be4a1973a9d8
 F test/regexp2.test 40e894223b3d6672655481493f1be12012f2b33c
 F test/reindex.test 44edd3966b474468b823d481eafef0c305022254
 F test/releasetest.tcl 769892f81050b3f59c66f274d478d855159b474ea27019dec82f1215c0b91ef7 x
-F test/resetdb.test 2107b34a8c437183f48eb833905df43818160a55f4ac69bbaf54f356fb2b27bd
+F test/resetdb.test 46abce317cb093f37c26c8ecebc518d24f84a627b9f3babde8e0b7904f45fcd8
 F test/resolver01.test f4022acafda7f4d40eca94dbf16bc5fc4ac30ceb
 F test/rollback.test 06680159bc6746d0f26276e339e3ae2f951c64812468308838e0a3362d911eaa
 F test/rollback2.test bc868d57899dc6972e2b4483faae0e03365a0556941474eec487ae21d8d38bb6
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 786c87ba4150509e141baab32c51e64bbd3ce323735e0f47d65ed54d14215bc4
-R d772fd50a83277dafc7b2d62ea89dd92
-U drh
-Z fcfb43d365d0b34e61224fdf77a12270
+P 916cdc83f5a45e0b6f61c52ff5fde70d54bcd0dfaa4a32f9ac709fe0ddbb480b
+R 4aa4673d5a1ac5d12f944b181e29c4b8
+U dan
+Z fd87c0385603b862065c7e2db5d589f9
diff --git a/manifest.uuid b/manifest.uuid
index c143816246..6735d443e2 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-916cdc83f5a45e0b6f61c52ff5fde70d54bcd0dfaa4a32f9ac709fe0ddbb480b
\ No newline at end of file
+c43dd23fb00f7e0b6274de435d8e31f6a4cb74c3e86e8313a5098ff089e27574
\ No newline at end of file
diff --git a/src/sqlite.h.in b/src/sqlite.h.in
index b98960a01f..6070934e39 100644
--- a/src/sqlite.h.in
+++ b/src/sqlite.h.in
@@ -2122,6 +2122,12 @@ struct sqlite3_mem_methods {
 ** with no schema and no content. The following process works even for
 ** a badly corrupted database file:
 ** <ol>
+** <li> If the database connection is newly opened, make sure it has read the
+**      database schema by preparing then discarding some query against the
+**      database, or calling sqlite3_table_column_metadata(), ignoring any
+**      errors.  This step is only necessary if the application desires to keep
+**      the database in WAL mode after the reset if it was in WAL mode before
+**      the reset.  
 ** <li> sqlite3_db_config(db, SQLITE_DBCONFIG_RESET_DATABASE, 1, 0);
 ** <li> [sqlite3_exec](db, "[VACUUM]", 0, 0, 0);
 ** <li> sqlite3_db_config(db, SQLITE_DBCONFIG_RESET_DATABASE, 0, 0);
diff --git a/test/resetdb.test b/test/resetdb.test
index 38428ba1fe..84f7eb8378 100644
--- a/test/resetdb.test
+++ b/test/resetdb.test
@@ -154,5 +154,27 @@ do_test 400 {
 } {0 {1 8192 wal ok}}
 db2 close
 
+# Reset the database yet again. This time immediately after it is closed
+# and reopened. So that the VACUUM is the first statement run.
+#
+db close
+sqlite3 db test.db
+do_test 500 {
+  sqlite3_finalize [
+    sqlite3_prepare db "SELECT 1 FROM sqlite_master LIMIT 1" -1 tail
+  ]
+  sqlite3_db_config db RESET_DB 1
+  db eval VACUUM
+  sqlite3_db_config db RESET_DB 0
+  sqlite3 db2 test.db
+  catchsql {
+     PRAGMA page_count;
+     PRAGMA page_size;
+     PRAGMA journal_mode;
+     PRAGMA quick_check;
+  } db2
+} {0 {1 8192 wal ok}}
+db2 close
 
 finish_test
+

From 8f26da6c5b8a5ad164cd9934281a3ab33e68dfd1 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Thu, 5 Jul 2018 21:22:57 +0000
Subject: [PATCH 123/154] Use separate opcodes, OP_AggValue and OP_AggInverse,
 for the new callbacks associated with Window Functions, for improved
 readability of EXPLAIN output.

FossilOrigin-Name: fa6538050938ffeb042fbee31512514d6d3ace514b2a3dfd8365bbeb13f35a78
---
 manifest      | 20 ++++++++++----------
 manifest.uuid |  2 +-
 src/select.c  |  2 +-
 src/vdbe.c    | 52 +++++++++++++++++++++++++++++++++++++++------------
 src/vdbemem.c |  1 +
 src/window.c  | 32 +++++++++++++++----------------
 6 files changed, 69 insertions(+), 40 deletions(-)

diff --git a/manifest b/manifest
index 4120e948c7..18c9d3f286 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Update\sthe\srecipe\sfor\sresetting\sa\sdatabase\susing\nSQLITE_DBCONFIG_RESET_DATABASE.
-D 2018-07-05T20:33:06.498
+C Use\sseparate\sopcodes,\sOP_AggValue\sand\sOP_AggInverse,\sfor\sthe\snew\scallbacks\nassociated\swith\sWindow\sFunctions,\sfor\simproved\sreadability\sof\sEXPLAIN\noutput.
+D 2018-07-05T21:22:57.019
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -495,7 +495,7 @@ F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 1f965d00b4c26b7eb886b90c687069f5db0d05157dbc1ca406fe88e990eac671
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 82aa95aa1cfeadef5ecae1126afff1efca64c49050bbf7116425a8a1d4fc5e6c
+F src/select.c 7b7c67731f87df39150e6218468d5672c260fd48ec808454609725aea9831236
 F src/shell.c.in f1c79c537117ee61317a5ed85cdbcb854998cd690eb34ab803779358a2ace780
 F src/sqlite.h.in 36f0b3f88241863530f4b7e57e673e19311dd609ec4edad83b23291928cdf853
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
@@ -566,13 +566,13 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c ff748307932fac5a5a983a20a4d8805aff7b0f310ca58cff4051df96d34a4dc8
+F src/vdbe.c 4e2768e83fd5b705b6244855818ae40178be2edf4288a45c625c03a9f755711b
 F src/vdbe.h 847735b3e083285aa225d2bf1fe97107a0a2b8942c80d643cdb764990705820d
 F src/vdbeInt.h 6b5cbd338dc9aaad343fb11b455e47463b0474d9f79710f50e647158941146e0
 F src/vdbeapi.c e35f813312b0f6e8e2835b357f121e0d1da6d3013bac3e367fe4efd518e7a2ec
 F src/vdbeaux.c c2d65c763b0811afe409e02e9d0d1f300c6e97892474fc94eec3da71955cd418
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
-F src/vdbemem.c 87b48c0bd68041a61fb3f4e18a1a696f5339d65e572d288a266a602a01863f1a
+F src/vdbemem.c a699a1d7ccc3f94cdff69ddf35d5f7540dbf52ca44cf040eda3c87520e67858c
 F src/vdbesort.c 731a09e5cb9e96b70c394c1b7cf3860fbe84acca7682e178615eb941a3a0ef2f
 F src/vdbetrace.c 79d6dbbc479267b255a7de8080eee6e729928a0ef93ed9b0bfa5618875b48392
 F src/vtab.c 10ea07dec111de6fb0a4fc87a7ffa4c65fdc088a19dbfaf7d6f2b128f2e8eb7b
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 00df6e1bb85b5f4d07259303316277e8725edaaa01f156a395ce09a2f253656c
+F src/window.c 518274012188475ca02fb8444b1752a046c88a1cde6d1fd86a8e824cbb4b80f6
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 916cdc83f5a45e0b6f61c52ff5fde70d54bcd0dfaa4a32f9ac709fe0ddbb480b
-R 4aa4673d5a1ac5d12f944b181e29c4b8
-U dan
-Z fd87c0385603b862065c7e2db5d589f9
+P c43dd23fb00f7e0b6274de435d8e31f6a4cb74c3e86e8313a5098ff089e27574
+R f2e41b301a67b8d68998feae87995b75
+U drh
+Z 9251af3e39fe07a55b8965f4ce7c14d4
diff --git a/manifest.uuid b/manifest.uuid
index 6735d443e2..8ba4b52f86 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-c43dd23fb00f7e0b6274de435d8e31f6a4cb74c3e86e8313a5098ff089e27574
\ No newline at end of file
+fa6538050938ffeb042fbee31512514d6d3ace514b2a3dfd8365bbeb13f35a78
\ No newline at end of file
diff --git a/src/select.c b/src/select.c
index a3fa9359d8..c51bd1db02 100644
--- a/src/select.c
+++ b/src/select.c
@@ -5187,7 +5187,7 @@ static void updateAccumulator(Parse *pParse, int regAcc, AggInfo *pAggInfo){
       if( regHit==0 && pAggInfo->nAccumulator ) regHit = ++pParse->nMem;
       sqlite3VdbeAddOp4(v, OP_CollSeq, regHit, 0, 0, (char *)pColl, P4_COLLSEQ);
     }
-    sqlite3VdbeAddOp3(v, OP_AggStep0, 0, regAgg, pF->iMem);
+    sqlite3VdbeAddOp3(v, OP_AggStep, 0, regAgg, pF->iMem);
     sqlite3VdbeAppendP4(v, pF->pFunc, P4_FUNCDEF);
     sqlite3VdbeChangeP5(v, (u8)nArg);
     sqlite3ExprCacheAffinityChange(pParse, regAgg, nArg);
diff --git a/src/vdbe.c b/src/vdbe.c
index 2b449b9466..33cacda2a0 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -6288,18 +6288,29 @@ case OP_DecrJumpZero: {      /* jump, in1 */
 }
 
 
-/* Opcode: AggStep0 P1 P2 P3 P4 P5
+/* Opcode: AggStep * P2 P3 P4 P5
 ** Synopsis: accum=r[P3] step(r[P2@P5])
 **
-** Execute the xStep (if P1==0) or xInverse (if P1!=0) function for an
-** aggregate.  The function has P5 arguments.  P4 is a pointer to the 
+** Execute the xStep function for an aggregate.
+** The function has P5 arguments.  P4 is a pointer to the 
 ** FuncDef structure that specifies the function.  Register P3 is the
 ** accumulator.
 **
 ** The P5 arguments are taken from register P2 and its
 ** successors.
 */
-/* Opcode: AggStep P1 P2 P3 P4 P5
+/* Opcode: AggInverse * P2 P3 P4 P5
+** Synopsis: accum=r[P3] inverse(r[P2@P5])
+**
+** Execute the xInverse function for an aggregate.
+** The function has P5 arguments.  P4 is a pointer to the 
+** FuncDef structure that specifies the function.  Register P3 is the
+** accumulator.
+**
+** The P5 arguments are taken from register P2 and its
+** successors.
+*/
+/* Opcode: AggStep1 P1 P2 P3 P4 P5
 ** Synopsis: accum=r[P3] step(r[P2@P5])
 **
 ** Execute the xStep (if P1==0) or xInverse (if P1!=0) function for an
@@ -6316,7 +6327,8 @@ case OP_DecrJumpZero: {      /* jump, in1 */
 ** sqlite3_context only happens once, instead of on each call to the
 ** step function.
 */
-case OP_AggStep0: {
+case OP_AggInverse:
+case OP_AggStep: {
   int n;
   sqlite3_context *pCtx;
 
@@ -6339,10 +6351,11 @@ case OP_AggStep0: {
   pCtx->argc = n;
   pOp->p4type = P4_FUNCCTX;
   pOp->p4.pCtx = pCtx;
-  pOp->opcode = OP_AggStep;
+  assert( pOp->p1==(pOp->opcode==OP_AggInverse) );
+  pOp->opcode = OP_AggStep1;
   /* Fall through into OP_AggStep */
 }
-case OP_AggStep: {
+case OP_AggStep1: {
   int i;
   sqlite3_context *pCtx;
   Mem *pMem;
@@ -6399,13 +6412,12 @@ case OP_AggStep: {
   break;
 }
 
-/* Opcode: AggFinal P1 P2 P3 P4 *
+/* Opcode: AggFinal P1 P2 * P4 *
 ** Synopsis: accum=r[P1] N=P2
 **
 ** P1 is the memory location that is the accumulator for an aggregate
-** or window function. If P3 is zero, then execute the finalizer function 
-** for an aggregate and store the result in P1. Or, if P3 is non-zero,
-** invoke the xValue() function and store the result in register P3.
+** or window function.  Execute the finalizer function 
+** for an aggregate and store the result in P1.
 **
 ** P2 is the number of arguments that the step function takes and
 ** P4 is a pointer to the FuncDef for this function.  The P2
@@ -6414,9 +6426,23 @@ case OP_AggStep: {
 ** P4 argument is only needed for the case where
 ** the step function was not previously called.
 */
+/* Opcode: AggValue * P2 P3 P4 *
+** Synopsis: r[P3]=value N=P2
+**
+** Invoke the xValue() function and store the result in register P3.
+**
+** P2 is the number of arguments that the step function takes and
+** P4 is a pointer to the FuncDef for this function.  The P2
+** argument is not used by this opcode.  It is only there to disambiguate
+** functions that can take varying numbers of arguments.  The
+** P4 argument is only needed for the case where
+** the step function was not previously called.
+*/
+case OP_AggValue:
 case OP_AggFinal: {
   Mem *pMem;
   assert( pOp->p1>0 && pOp->p1<=(p->nMem+1 - p->nCursor) );
+  assert( pOp->p3==0 || pOp->opcode==OP_AggValue );
   pMem = &aMem[pOp->p1];
   assert( (pMem->flags & ~(MEM_Null|MEM_Agg))==0 );
 #ifndef SQLITE_OMIT_WINDOWFUNC
@@ -6425,7 +6451,9 @@ case OP_AggFinal: {
     pMem = &aMem[pOp->p3];
   }else
 #endif
-  rc = sqlite3VdbeMemFinalize(pMem, pOp->p4.pFunc);
+  {
+    rc = sqlite3VdbeMemFinalize(pMem, pOp->p4.pFunc);
+  }
   
   if( rc ){
     sqlite3VdbeError(p, "%s", sqlite3_value_text(pMem));
diff --git a/src/vdbemem.c b/src/vdbemem.c
index dc0a3f9702..d0d52ce41c 100644
--- a/src/vdbemem.c
+++ b/src/vdbemem.c
@@ -435,6 +435,7 @@ int sqlite3VdbeMemAggValue(Mem *pAccum, Mem *pOut, FuncDef *pFunc){
   memset(&t, 0, sizeof(t));
   t.flags = MEM_Null;
   t.db = pAccum->db;
+  sqlite3VdbeMemSetNull(pOut);
   ctx.pOut = pOut;
   ctx.pMem = pAccum;
   ctx.pFunc = pFunc;
diff --git a/src/window.c b/src/window.c
index 87cb0cea0d..751e17d2aa 100644
--- a/src/window.c
+++ b/src/window.c
@@ -988,7 +988,7 @@ static int windowArgCount(Window *pWin){
 ** the first register in an array of registers guaranteed to be large
 ** enough to hold the array of arguments for each function. In this case
 ** the arguments are extracted from the current row of csr into the
-** array of registers before invoking OP_AggStep.
+** array of registers before invoking OP_AggStep or OP_AggInverse
 **
 ** Or, if csr is less than zero, then the array of registers at reg is
 ** already populated with all columns from the current row of the sub-query.
@@ -1076,7 +1076,8 @@ static void windowAggStep(
         pColl = sqlite3ExprNNCollSeq(pParse, pWin->pOwner->x.pList->a[0].pExpr);
         sqlite3VdbeAddOp4(v, OP_CollSeq, 0,0,0, (const char*)pColl, P4_COLLSEQ);
       }
-      sqlite3VdbeAddOp3(v, OP_AggStep0, bInverse, regArg, pWin->regAccum);
+      sqlite3VdbeAddOp3(v, bInverse? OP_AggInverse : OP_AggStep, 
+                        bInverse, regArg, pWin->regAccum);
       sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
       sqlite3VdbeChangeP5(v, (u8)nArg);
       if( addrIf ) sqlite3VdbeJumpHere(v, addrIf);
@@ -1108,16 +1109,15 @@ static void windowAggFinal(Parse *pParse, Window *pMWin, int bFinal){
       }
     }else if( pWin->regApp ){
     }else{
-      if( bFinal==0 ){
-        sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
-      }
-      sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, windowArgCount(pWin));
-      sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
       if( bFinal ){
+        sqlite3VdbeAddOp2(v, OP_AggFinal, pWin->regAccum, windowArgCount(pWin));
+        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
         sqlite3VdbeAddOp2(v, OP_Copy, pWin->regAccum, pWin->regResult);
         sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
       }else{
-        sqlite3VdbeChangeP3(v, -1, pWin->regResult);
+        sqlite3VdbeAddOp3(v, OP_AggValue, pWin->regAccum, windowArgCount(pWin),
+                             pWin->regResult);
+        sqlite3VdbeAppendP4(v, pWin->pFunc, P4_FUNCDEF);
       }
     }
   }
@@ -1273,7 +1273,7 @@ static void windowReturnOneRow(
 **     regCtr--;
 **     windowReturnOneRow()
 **     if( bInverse ){
-**       AggStep (xInverse)
+**       AggInverse
 **     }
 **     Next (Window.iEphCsr)
 **   }
@@ -1367,7 +1367,7 @@ static int windowInitAccum(Parse *pParse, Window *pMWin){
 **         Gosub addrGosub
 **         Next(csr)                // if EOF goto flush_partition_done
 **         if( (regStart--)<=0 ){
-**           AggStep (csrStart, xInverse)
+**           AggInverse (csrStart)
 **           Next(csrStart)
 **         }
 **       }
@@ -1395,7 +1395,7 @@ static int windowInitAccum(Parse *pParse, Window *pMWin){
 **       Gosub addrGosub
 **       Next(csr)                     // if EOF goto flush_partition_done
 **       if( (regStart--)<=0 ){
-**         AggStep (csrStart, xInverse)
+**         AggInverse (csrStart)
 **         Next(csrStart)
 **       }
 **     }
@@ -1418,7 +1418,7 @@ static int windowInitAccum(Parse *pParse, Window *pMWin){
 **         if( new peer ) break;
 **       }
 **       while( (regPeer--)>0 ){
-**         AggStep (csrStart, xInverse)
+**         AggInverse (csrStart)
 **         Next(csrStart)
 **       }
 **     }
@@ -1435,7 +1435,7 @@ static int windowInitAccum(Parse *pParse, Window *pMWin){
 **         Gosub addrGosub
 **         Next(csr)              // if EOF goto flush_partition_done
 **       }
-**       AggStep (csrStart, xInverse)
+**       AggInverse (csrStart)
 **       Next (csrStart)
 **     }
 **
@@ -1451,7 +1451,7 @@ static int windowInitAccum(Parse *pParse, Window *pMWin){
 **     Gosub addrGosub
 **     Next(csr)                  // if EOF goto flush_partition_done
 **     if( (regStart--)<=0 ){
-**       AggStep (csr2, xInverse)
+**       AggInverse (csr2)
 **       Next (csr2)
 **     }
 **
@@ -1682,7 +1682,7 @@ static void windowCodeRowExprStep(
 **
 **         for(i=0; i<ctr; i++){
 **           Gosub addrGosub
-**           AggStep (xInverse, iEphCsr)
+**           AggInverse (iEphCsr)
 **           Next iEphCsr
 **         }
 **
@@ -1715,7 +1715,7 @@ static void windowCodeRowExprStep(
 **         AggFinal (xValue)
 **         for(i=0; i<ctr; i++){
 **           Gosub addrGosub
-**           AggStep (xInverse, iEphCsr)
+**           AggInverse (iEphCsr)
 **           Next iEphCsr
 **         }
 **         Integer ctr 0

From e33f6e7c91d37f8a91a9d11acf2f367d585e1120 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 6 Jul 2018 07:42:42 +0000
Subject: [PATCH 124/154] Return an error if DISTINCT is used with a
 window-function (.i.e. "count(DISTINCT <expr>) OVER (...)".

FossilOrigin-Name: d59bcc8eea4fcf0ee3c2263d31ee42f9f26c28434d2f0045f2d3329f18791d1c
---
 manifest          | 18 +++++++++---------
 manifest.uuid     |  2 +-
 src/parse.y       |  2 +-
 src/window.c      |  9 +++++++--
 test/window6.test |  6 ++++++
 5 files changed, 24 insertions(+), 13 deletions(-)

diff --git a/manifest b/manifest
index 18c9d3f286..e1bc66a7cc 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Use\sseparate\sopcodes,\sOP_AggValue\sand\sOP_AggInverse,\sfor\sthe\snew\scallbacks\nassociated\swith\sWindow\sFunctions,\sfor\simproved\sreadability\sof\sEXPLAIN\noutput.
-D 2018-07-05T21:22:57.019
+C Return\san\serror\sif\sDISTINCT\sis\sused\swith\sa\swindow-function\s(.i.e.\n"count(DISTINCT\s<expr>)\sOVER\s(...)".
+D 2018-07-06T07:42:42.390
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 9b57f1d0d3d7578ab2917e07ff5d8def4b0aac571113dd7b7cb8108e7194d025
+F src/parse.y 58ea7c7b407d2c635908c45b5f7c4ac1633fd1f13211bb246154501204ff1ac8
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 518274012188475ca02fb8444b1752a046c88a1cde6d1fd86a8e824cbb4b80f6
+F src/window.c 6f58bfcd558a880f1ac3fc32530b665b22e427272ce20f137fd132fd2ba161e4
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1627,7 +1627,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
 F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test 601baeb467fb2e877b3ad89f87a098bf9977a6d197e14913b93cdb509de2d7cd
+F test/window6.test b3a17d3ca14c211859d1947c2f0b238c4a3f0757d771b6fcb6e03129153ea429
 F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P c43dd23fb00f7e0b6274de435d8e31f6a4cb74c3e86e8313a5098ff089e27574
-R f2e41b301a67b8d68998feae87995b75
-U drh
-Z 9251af3e39fe07a55b8965f4ce7c14d4
+P fa6538050938ffeb042fbee31512514d6d3ace514b2a3dfd8365bbeb13f35a78
+R 905e7bab4836c398b4da7ed05c2ddee2
+U dan
+Z 30f785d3f688c11464a096ce2434bfda
diff --git a/manifest.uuid b/manifest.uuid
index 8ba4b52f86..ae20b791b0 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-fa6538050938ffeb042fbee31512514d6d3ace514b2a3dfd8365bbeb13f35a78
\ No newline at end of file
+d59bcc8eea4fcf0ee3c2263d31ee42f9f26c28434d2f0045f2d3329f18791d1c
\ No newline at end of file
diff --git a/src/parse.y b/src/parse.y
index 42efe6fb6f..5c736c66ec 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -1028,10 +1028,10 @@ expr(A) ::= id(X) LP distinct(D) exprlist(Y) RP
     sqlite3ErrorMsg(pParse, "too many arguments on function %T", &X);
   }
   A = sqlite3ExprFunction(pParse, Y, &X);
-  sqlite3WindowAttach(pParse, A, Z);
   if( D==SF_Distinct && A ){
     A->flags |= EP_Distinct;
   }
+  sqlite3WindowAttach(pParse, A, Z);
 }
 expr(A) ::= id(X) LP STAR RP
 %ifndef SQLITE_OMIT_WINDOWFUNC
diff --git a/src/window.c b/src/window.c
index 751e17d2aa..b31ed156d7 100644
--- a/src/window.c
+++ b/src/window.c
@@ -867,8 +867,13 @@ Window *sqlite3WindowAlloc(
 */
 void sqlite3WindowAttach(Parse *pParse, Expr *p, Window *pWin){
   if( p ){
-    p->pWin = pWin;
-    if( pWin ) pWin->pOwner = p;
+    if( pWin ){
+      p->pWin = pWin;
+      pWin->pOwner = p;
+      if( p->flags & EP_Distinct ){
+        sqlite3ErrorMsg(pParse,"DISTINCT is not supported for window functions");
+      }
+    }
   }else{
     sqlite3WindowDelete(pParse->db, pWin);
   }
diff --git a/test/window6.test b/test/window6.test
index 36cfa2cbcd..91de2b44b3 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -222,11 +222,17 @@ do_catchsql_test 9.1 {
   SELECT x, group_concat(x) OVER (ORDER BY x RANGE 2 PRECEDING)
   FROM c;
 } {1 {RANGE PRECEDING is only supported with UNBOUNDED}}
+
 do_catchsql_test 9.2 {
   WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
   SELECT x, group_concat(x) OVER (ORDER BY x RANGE BETWEEN UNBOUNDED PRECEDING AND 2 FOLLOWING)
   FROM c;
 } {1 {RANGE FOLLOWING is only supported with UNBOUNDED}}
 
+do_catchsql_test 9.3 {
+  WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
+  SELECT count(DISTINCT x) OVER (ORDER BY x) FROM c;
+} {1 {DISTINCT is not supported for window functions}}
+
 finish_test
 

From cf0343b699036117f0b3ec1216d6144de1df1d63 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 6 Jul 2018 13:25:02 +0000
Subject: [PATCH 125/154] Remove some bad assert() statements from the
 implementations of window functions percent_rank() and cume_dist().

FossilOrigin-Name: 443f0c286f1659937fd61b4ef2de17d0d015369e5ff5249a9e0c3d0ee4925158
---
 manifest              | 22 +++++++++++-----------
 manifest.uuid         |  2 +-
 src/vdbe.h            |  1 -
 src/vdbeapi.c         | 12 ------------
 src/window.c          |  6 ++----
 test/window4.tcl      |  8 ++++++++
 test/window4.test     | 16 ++++++++++++++++
 test/windowfault.test | 10 ++++++++++
 8 files changed, 48 insertions(+), 29 deletions(-)

diff --git a/manifest b/manifest
index e1bc66a7cc..aa15820cae 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Return\san\serror\sif\sDISTINCT\sis\sused\swith\sa\swindow-function\s(.i.e.\n"count(DISTINCT\s<expr>)\sOVER\s(...)".
-D 2018-07-06T07:42:42.390
+C Remove\ssome\sbad\sassert()\sstatements\sfrom\sthe\simplementations\sof\swindow\nfunctions\spercent_rank()\sand\scume_dist().
+D 2018-07-06T13:25:02.772
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -567,9 +567,9 @@ F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
 F src/vdbe.c 4e2768e83fd5b705b6244855818ae40178be2edf4288a45c625c03a9f755711b
-F src/vdbe.h 847735b3e083285aa225d2bf1fe97107a0a2b8942c80d643cdb764990705820d
+F src/vdbe.h 9c8c245fa3785266c269ab02c135c836ff49a307612186686bcdae500f409945
 F src/vdbeInt.h 6b5cbd338dc9aaad343fb11b455e47463b0474d9f79710f50e647158941146e0
-F src/vdbeapi.c e35f813312b0f6e8e2835b357f121e0d1da6d3013bac3e367fe4efd518e7a2ec
+F src/vdbeapi.c af4a3de00d1851bcbc55b85dfbe52849aa2b1e17b4a5a1f3d9c257df7af361ff
 F src/vdbeaux.c c2d65c763b0811afe409e02e9d0d1f300c6e97892474fc94eec3da71955cd418
 F src/vdbeblob.c f5c70f973ea3a9e915d1693278a5f890dc78594300cf4d54e64f2b0917c94191
 F src/vdbemem.c a699a1d7ccc3f94cdff69ddf35d5f7540dbf52ca44cf040eda3c87520e67858c
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 6f58bfcd558a880f1ac3fc32530b665b22e427272ce20f137fd132fd2ba161e4
+F src/window.c 5bb6f305800d1502047d37ed8278a153f984fc4e3365c7eec2b9129f9dbec6af
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1624,11 +1624,11 @@ F test/window2.tcl 9bfa842d8a62b0d36dc8c1b5972206393c43847433c6d75940b87fec93ce3
 F test/window2.test 8e6d2a1b9f54dfebee1cde961c8590cd87b4db45c50f44947a211e1b63c2a05e
 F test/window3.tcl 577a3b1ff913208e5248c04dab9df17fd760ce159a752789e26d0cb4a5f91823
 F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c4b31
-F test/window4.tcl 7cec7e578aa9f78b7265bff8d552cda17a1d8d89f0449d0e74970a527b8846f5
-F test/window4.test dcd8767869988e0d23d56bc3f8b46ec116de23127b81b5f66fd48d5529072ed1
+F test/window4.tcl a7f0e514602c8a6c43bc68c25ecc4def4f3e2abc5f721c4e6cf70eade1a6cfdf
+F test/window4.test 048b4760d0335ccefda73403ff2c054085383cbe5a0e5c175f56eda9d2f419f6
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
 F test/window6.test b3a17d3ca14c211859d1947c2f0b238c4a3f0757d771b6fcb6e03129153ea429
-F test/windowfault.test 97d5fc404308edb579a5a183e294ed874c844ecf01f0a28ba46df3141ebaee1f
+F test/windowfault.test a44baa1b0bdf339d7792623ad3a6ebe057b1a6d7a7fd7ae880c8b744cfc0dafb
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P fa6538050938ffeb042fbee31512514d6d3ace514b2a3dfd8365bbeb13f35a78
-R 905e7bab4836c398b4da7ed05c2ddee2
+P d59bcc8eea4fcf0ee3c2263d31ee42f9f26c28434d2f0045f2d3329f18791d1c
+R e6aae1c3707698b3e970a44453d51d22
 U dan
-Z 30f785d3f688c11464a096ce2434bfda
+Z 888d6a8bdd8b40734a66b9eb28cd59e6
diff --git a/manifest.uuid b/manifest.uuid
index ae20b791b0..82c045993f 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-d59bcc8eea4fcf0ee3c2263d31ee42f9f26c28434d2f0045f2d3329f18791d1c
\ No newline at end of file
+443f0c286f1659937fd61b4ef2de17d0d015369e5ff5249a9e0c3d0ee4925158
\ No newline at end of file
diff --git a/src/vdbe.h b/src/vdbe.h
index 8bf0a2c3fc..51995e384c 100644
--- a/src/vdbe.h
+++ b/src/vdbe.h
@@ -243,7 +243,6 @@ void sqlite3VdbeResolveLabel(Vdbe*, int);
 int sqlite3VdbeCurrentAddr(Vdbe*);
 #ifdef SQLITE_DEBUG
   int sqlite3VdbeAssertMayAbort(Vdbe *, int);
-  int sqlite3VdbeAssertAggContext(sqlite3_context*);
 #endif
 void sqlite3VdbeResetStepResult(Vdbe*);
 void sqlite3VdbeRewind(Vdbe*);
diff --git a/src/vdbeapi.c b/src/vdbeapi.c
index 270756c299..fcc315bc65 100644
--- a/src/vdbeapi.c
+++ b/src/vdbeapi.c
@@ -824,18 +824,6 @@ void *sqlite3_aggregate_context(sqlite3_context *p, int nByte){
   }
 }
 
-/*
-** This function is only used within assert() statements to check that the
-** aggregate context has already been allocated. i.e.:
-**
-**   assert( sqlite3VdbeAssertAggContext(p) );
-*/
-#ifdef SQLITE_DEBUG
-int sqlite3VdbeAssertAggContext(sqlite3_context *p){
-  return ((p->pMem->flags & MEM_Agg)!=0);
-}
-#endif /* SQLITE_DEBUG */
-
 /*
 ** Return the auxiliary data pointer, if any, for the iArg'th argument to
 ** the user-function defined by pCtx.
diff --git a/src/window.c b/src/window.c
index b31ed156d7..d20b90b583 100644
--- a/src/window.c
+++ b/src/window.c
@@ -255,9 +255,8 @@ static void percent_rankStepFunc(
   struct CallCount *p;
   assert( nArg==1 );
 
-  assert( sqlite3VdbeAssertAggContext(pCtx) );
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
-  if( ALWAYS(p) ){
+  if( p ){
     if( p->nTotal==0 ){
       p->nTotal = sqlite3_value_int64(apArg[0]);
     }
@@ -301,9 +300,8 @@ static void cume_distStepFunc(
   struct CallCount *p;
   assert( nArg==1 );
 
-  assert( sqlite3VdbeAssertAggContext(pCtx) );
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
-  if( ALWAYS(p) ){
+  if( p ){
     if( p->nTotal==0 ){
       p->nTotal = sqlite3_value_int64(apArg[0]);
     }
diff --git a/test/window4.tcl b/test/window4.tcl
index b3b9ab2ee0..5417c3a344 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -332,5 +332,13 @@ execsql_test 9.5 {
   SELECT DISTINCT x, rank() OVER (ORDER BY x) FROM t2 ORDER BY 1,2
 }
 
+execsql_float_test 9.6 {
+  SELECT percent_rank() OVER () FROM t1
+}
+
+execsql_float_test 9.7 {
+  SELECT cume_dist() OVER () FROM t1
+}
+
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index 2376e07a38..c81173e1df 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -1233,4 +1233,20 @@ do_execsql_test 9.5 {
   SELECT DISTINCT x, rank() OVER (ORDER BY x) FROM t2 ORDER BY 1,2
 } {1 1   4 4   6 6   7 7}
 
+do_test 9.6 {
+  set myres {}
+  foreach r [db eval {SELECT percent_rank() OVER () FROM t1}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {0.00 0.00 0.00}
+
+do_test 9.7 {
+  set myres {}
+  foreach r [db eval {SELECT cume_dist() OVER () FROM t1}] {
+    lappend myres [format %.2f [set r]]
+  }
+  set myres
+} {1.00 1.00 1.00}
+
 finish_test
diff --git a/test/windowfault.test b/test/windowfault.test
index 73d63a98fe..6b684fa71c 100644
--- a/test/windowfault.test
+++ b/test/windowfault.test
@@ -129,5 +129,15 @@ do_faultsim_test 5 -start 1 -faults oom-* -prep {
   faultsim_test_result {0 {5 1 9 5 9 9}}
 }
 
+do_faultsim_test 6 -faults oom-* -prep {
+  faultsim_restore_and_reopen
+} -body {
+  execsql {
+    SELECT percent_rank() OVER (), cume_dist() OVER () FROM t1
+  }
+} -test {
+  faultsim_test_result {0 {0.0 1.0 0.0 1.0 0.0 1.0}}
+}
+
 finish_test
 

From 287fa17b782d41badea92af1986b85e801eb623f Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 6 Jul 2018 13:48:09 +0000
Subject: [PATCH 126/154] Prevent "UNBOUNDED FOLLOWING" from being used as the
 starting boundary of a window-frame. And "UNBOUNDED PRECEDING" from being
 used as the ending boundary.

FossilOrigin-Name: e51fdf66a24c27ba6491391fffcc88fc5ca2ae79cfc4ab769a149b19c394e308
---
 manifest          | 14 +++++++-------
 manifest.uuid     |  2 +-
 src/parse.y       | 16 ++++++++++++----
 test/window6.test | 15 +++++++++++++++
 4 files changed, 35 insertions(+), 12 deletions(-)

diff --git a/manifest b/manifest
index aa15820cae..d2a55a95cc 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Remove\ssome\sbad\sassert()\sstatements\sfrom\sthe\simplementations\sof\swindow\nfunctions\spercent_rank()\sand\scume_dist().
-D 2018-07-06T13:25:02.772
+C Prevent\s"UNBOUNDED\sFOLLOWING"\sfrom\sbeing\sused\sas\sthe\sstarting\sboundary\sof\sa\nwindow-frame.\sAnd\s"UNBOUNDED\sPRECEDING"\sfrom\sbeing\sused\sas\sthe\sending\nboundary.
+D 2018-07-06T13:48:09.421
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 58ea7c7b407d2c635908c45b5f7c4ac1633fd1f13211bb246154501204ff1ac8
+F src/parse.y 5bd226187d991bc2fccd3c0f36de40b2230b397903893028b4e9e39811b027b2
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -1627,7 +1627,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl a7f0e514602c8a6c43bc68c25ecc4def4f3e2abc5f721c4e6cf70eade1a6cfdf
 F test/window4.test 048b4760d0335ccefda73403ff2c054085383cbe5a0e5c175f56eda9d2f419f6
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test b3a17d3ca14c211859d1947c2f0b238c4a3f0757d771b6fcb6e03129153ea429
+F test/window6.test 5509d5f1bda018f4fe120d2754a5bd212a0d0f860b36dff9e4d9b7cca504c800
 F test/windowfault.test a44baa1b0bdf339d7792623ad3a6ebe057b1a6d7a7fd7ae880c8b744cfc0dafb
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P d59bcc8eea4fcf0ee3c2263d31ee42f9f26c28434d2f0045f2d3329f18791d1c
-R e6aae1c3707698b3e970a44453d51d22
+P 443f0c286f1659937fd61b4ef2de17d0d015369e5ff5249a9e0c3d0ee4925158
+R a48a84cc2d41a40318598711b1661a2a
 U dan
-Z 888d6a8bdd8b40734a66b9eb28cd59e6
+Z c0ee56347c475dd4c9047b4f4e322e08
diff --git a/manifest.uuid b/manifest.uuid
index 82c045993f..f7315574aa 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-443f0c286f1659937fd61b4ef2de17d0d015369e5ff5249a9e0c3d0ee4925158
\ No newline at end of file
+e51fdf66a24c27ba6491391fffcc88fc5ca2ae79cfc4ab769a149b19c394e308
\ No newline at end of file
diff --git a/src/parse.y b/src/parse.y
index 5c736c66ec..714c0b5012 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -1641,6 +1641,10 @@ sqlite3WindowDelete(pParse->db, $$);}
 
 %type frame_bound {struct FrameBound}
 %destructor frame_bound {sqlite3ExprDelete(pParse->db, $$.pExpr);}
+%type frame_bound_s {struct FrameBound}
+%destructor frame_bound_s {sqlite3ExprDelete(pParse->db, $$.pExpr);}
+%type frame_bound_e {struct FrameBound}
+%destructor frame_bound_e {sqlite3ExprDelete(pParse->db, $$.pExpr);}
 
 window_or_nm(A) ::= window(Z). {A = Z;}
 window_or_nm(A) ::= nm(Z). {
@@ -1664,21 +1668,25 @@ part_opt(A) ::= .                         { A = 0; }
 frame_opt(A) ::= .                             { 
   A = sqlite3WindowAlloc(pParse, TK_RANGE, TK_UNBOUNDED, 0, TK_CURRENT, 0);
 }
-frame_opt(A) ::= range_or_rows(X) frame_bound(Y). { 
+frame_opt(A) ::= range_or_rows(X) frame_bound_s(Y). { 
   A = sqlite3WindowAlloc(pParse, X, Y.eType, Y.pExpr, TK_CURRENT, 0);
 }
-frame_opt(A) ::= range_or_rows(X) BETWEEN frame_bound(Y) AND frame_bound(Z). { 
+frame_opt(A) ::= range_or_rows(X) BETWEEN frame_bound_s(Y) AND frame_bound_e(Z). { 
   A = sqlite3WindowAlloc(pParse, X, Y.eType, Y.pExpr, Z.eType, Z.pExpr);
 }
 
 range_or_rows(A) ::= RANGE.   { A = TK_RANGE; }
 range_or_rows(A) ::= ROWS.    { A = TK_ROWS;  }
 
-frame_bound(A) ::= UNBOUNDED PRECEDING. { A.eType = TK_UNBOUNDED; A.pExpr = 0; }
+
+frame_bound_s(A) ::= frame_bound(X). { A = X; }
+frame_bound_s(A) ::= UNBOUNDED PRECEDING. {A.eType = TK_UNBOUNDED; A.pExpr = 0;}
+frame_bound_e(A) ::= frame_bound(X). { A = X; }
+frame_bound_e(A) ::= UNBOUNDED FOLLOWING. {A.eType = TK_UNBOUNDED; A.pExpr = 0;}
+
 frame_bound(A) ::= expr(X) PRECEDING.   { A.eType = TK_PRECEDING; A.pExpr = X; }
 frame_bound(A) ::= CURRENT ROW.         { A.eType = TK_CURRENT  ; A.pExpr = 0; }
 frame_bound(A) ::= expr(X) FOLLOWING.   { A.eType = TK_FOLLOWING; A.pExpr = X; }
-frame_bound(A) ::= UNBOUNDED FOLLOWING. { A.eType = TK_UNBOUNDED; A.pExpr = 0; }
 
 %type windowdefn_opt {Window*}
 %destructor windowdefn_opt {sqlite3WindowDelete(pParse->db, $$);}
diff --git a/test/window6.test b/test/window6.test
index 91de2b44b3..56c59f61f2 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -234,5 +234,20 @@ do_catchsql_test 9.3 {
   SELECT count(DISTINCT x) OVER (ORDER BY x) FROM c;
 } {1 {DISTINCT is not supported for window functions}}
 
+do_catchsql_test 9.4 {
+  WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
+  SELECT count() OVER (ORDER BY x RANGE UNBOUNDED FOLLOWING) FROM c;
+} {1 {near "FOLLOWING": syntax error}}
+
+do_catchsql_test 9.5 {
+  WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
+  SELECT count() OVER (ORDER BY x RANGE BETWEEN UNBOUNDED FOLLOWING AND UNBOUNDED FOLLOWING) FROM c;
+} {1 {near "FOLLOWING": syntax error}}
+
+do_catchsql_test 9.6 {
+  WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
+  SELECT count() OVER (ORDER BY x RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED PRECEDING) FROM c;
+} {1 {near "PRECEDING": syntax error}}
+
 finish_test
 

From 5d764ac9e6ea4bbeef59f05a6a146ca6ab51a26f Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 6 Jul 2018 14:15:49 +0000
Subject: [PATCH 127/154] Ensure an error is returned if the user specifies an
 unsupported frame type.

FossilOrigin-Name: 0f3f8fcde1a535bcf93e23a68d2411c21785d8c0cac1f9481a06e7225755cdbc
---
 manifest          | 14 +++++++-------
 manifest.uuid     |  2 +-
 src/window.c      | 24 ++++++++++++++++++++----
 test/window6.test | 18 ++++++++++++++++--
 4 files changed, 44 insertions(+), 14 deletions(-)

diff --git a/manifest b/manifest
index d2a55a95cc..653236ef2f 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Prevent\s"UNBOUNDED\sFOLLOWING"\sfrom\sbeing\sused\sas\sthe\sstarting\sboundary\sof\sa\nwindow-frame.\sAnd\s"UNBOUNDED\sPRECEDING"\sfrom\sbeing\sused\sas\sthe\sending\nboundary.
-D 2018-07-06T13:48:09.421
+C Ensure\san\serror\sis\sreturned\sif\sthe\suser\sspecifies\san\sunsupported\sframe\stype.
+D 2018-07-06T14:15:49.619
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 5bb6f305800d1502047d37ed8278a153f984fc4e3365c7eec2b9129f9dbec6af
+F src/window.c 8f977b355ddcfd20677cf424da6efea14949ddb58244c642f9739bd345ac194f
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1627,7 +1627,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl a7f0e514602c8a6c43bc68c25ecc4def4f3e2abc5f721c4e6cf70eade1a6cfdf
 F test/window4.test 048b4760d0335ccefda73403ff2c054085383cbe5a0e5c175f56eda9d2f419f6
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test 5509d5f1bda018f4fe120d2754a5bd212a0d0f860b36dff9e4d9b7cca504c800
+F test/window6.test 117bf6d18f7bd2dda17e84a3b0f281973cb81b847ba1a5801f8556593be722c5
 F test/windowfault.test a44baa1b0bdf339d7792623ad3a6ebe057b1a6d7a7fd7ae880c8b744cfc0dafb
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 443f0c286f1659937fd61b4ef2de17d0d015369e5ff5249a9e0c3d0ee4925158
-R a48a84cc2d41a40318598711b1661a2a
+P e51fdf66a24c27ba6491391fffcc88fc5ca2ae79cfc4ab769a149b19c394e308
+R faa6a48363dce21b42a492cc35567e42
 U dan
-Z c0ee56347c475dd4c9047b4f4e322e08
+Z ac7b3250ed71ba8294bcb0eefd9636e9
diff --git a/manifest.uuid b/manifest.uuid
index f7315574aa..1ca529ce3f 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-e51fdf66a24c27ba6491391fffcc88fc5ca2ae79cfc4ab769a149b19c394e308
\ No newline at end of file
+0f3f8fcde1a535bcf93e23a68d2411c21785d8c0cac1f9481a06e7225755cdbc
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index d20b90b583..f8e71a6731 100644
--- a/src/window.c
+++ b/src/window.c
@@ -837,10 +837,26 @@ Window *sqlite3WindowAlloc(
 ){
   Window *pWin = 0;
 
-  if( eType==TK_RANGE && (pStart || pEnd) ){
-    sqlite3ErrorMsg(pParse, "RANGE %s is only supported with UNBOUNDED",
-        (pStart ? "PRECEDING" : "FOLLOWING")
-    );
+  /* If a frame is declared "RANGE" (not "ROWS"), then it may not use
+  ** either "<expr> PRECEDING" or "<expr> FOLLOWING". Additionally, the
+  ** starting boundary type may not occur earlier in the following list than
+  ** the ending boundary type:
+  **
+  **   UNBOUNDED PRECEDING
+  **   <expr> PRECEDING
+  **   CURRENT ROW
+  **   <expr> FOLLOWING
+  **   UNBOUNDED FOLLOWING
+  **
+  ** The parser ensures that "UNBOUNDED PRECEDING" cannot be used as an ending
+  ** boundary, and than "UNBOUNDED FOLLOWING" cannot be used as a starting
+  ** frame boundary.
+  */
+  if( eType==TK_RANGE && (pStart || pEnd) 
+   || (eStart==TK_CURRENT && eEnd==TK_PRECEDING)
+   || (eStart==TK_FOLLOWING && (eEnd==TK_PRECEDING || eEnd==TK_CURRENT))
+  ){
+    sqlite3ErrorMsg(pParse, "unsupported window-frame type");
   }else{
     pWin = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
   }
diff --git a/test/window6.test b/test/window6.test
index 56c59f61f2..994605fd3b 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -221,13 +221,13 @@ do_catchsql_test 9.1 {
   WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
   SELECT x, group_concat(x) OVER (ORDER BY x RANGE 2 PRECEDING)
   FROM c;
-} {1 {RANGE PRECEDING is only supported with UNBOUNDED}}
+} {1 {unsupported window-frame type}}
 
 do_catchsql_test 9.2 {
   WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
   SELECT x, group_concat(x) OVER (ORDER BY x RANGE BETWEEN UNBOUNDED PRECEDING AND 2 FOLLOWING)
   FROM c;
-} {1 {RANGE FOLLOWING is only supported with UNBOUNDED}}
+} {1 {unsupported window-frame type}}
 
 do_catchsql_test 9.3 {
   WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
@@ -249,5 +249,19 @@ do_catchsql_test 9.6 {
   SELECT count() OVER (ORDER BY x RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED PRECEDING) FROM c;
 } {1 {near "PRECEDING": syntax error}}
 
+foreach {tn frame} {
+  1 "BETWEEN CURRENT ROW AND 4 PRECEDING"
+  2 "4 FOLLOWING"
+  3 "BETWEEN 4 FOLLOWING AND CURRENT ROW"
+  4 "BETWEEN 4 FOLLOWING AND 2 PRECEDING"
+} {
+  do_catchsql_test 9.7.$tn "
+    WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
+    SELECT count() OVER (
+        ORDER BY x ROWS $frame 
+    ) FROM c;
+  " {1 {unsupported window-frame type}}
+}
+
 finish_test
 

From bfead59b3baa319a0b4d0b394c272e20c5fcc5f0 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Fri, 6 Jul 2018 14:31:26 +0000
Subject: [PATCH 128/154] Also disallow non-constant expressions in "<expr>
 PRECEDING" or "<expr> FOLLOWING" clauses.

FossilOrigin-Name: a6dffecc6b35c618cc5e5a06892765bdbec587dcd0ae8686c231a21516e38eab
---
 manifest          | 14 +++++++-------
 manifest.uuid     |  2 +-
 src/window.c      |  2 ++
 test/window6.test |  2 ++
 4 files changed, 12 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 653236ef2f..32191fd4fc 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Ensure\san\serror\sis\sreturned\sif\sthe\suser\sspecifies\san\sunsupported\sframe\stype.
-D 2018-07-06T14:15:49.619
+C Also\sdisallow\snon-constant\sexpressions\sin\s"<expr>\sPRECEDING"\sor\s"<expr>\nFOLLOWING"\sclauses.
+D 2018-07-06T14:31:26.509
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 8f977b355ddcfd20677cf424da6efea14949ddb58244c642f9739bd345ac194f
+F src/window.c b681846aee3d5831ef555a1bb40cad473cbe423f6688cc1153db966ec0b0a423
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1627,7 +1627,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl a7f0e514602c8a6c43bc68c25ecc4def4f3e2abc5f721c4e6cf70eade1a6cfdf
 F test/window4.test 048b4760d0335ccefda73403ff2c054085383cbe5a0e5c175f56eda9d2f419f6
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test 117bf6d18f7bd2dda17e84a3b0f281973cb81b847ba1a5801f8556593be722c5
+F test/window6.test 9b7d99ebe582f0d024eaa5086d418e1bbaea1380a68679b5f0771846df80856d
 F test/windowfault.test a44baa1b0bdf339d7792623ad3a6ebe057b1a6d7a7fd7ae880c8b744cfc0dafb
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P e51fdf66a24c27ba6491391fffcc88fc5ca2ae79cfc4ab769a149b19c394e308
-R faa6a48363dce21b42a492cc35567e42
+P 0f3f8fcde1a535bcf93e23a68d2411c21785d8c0cac1f9481a06e7225755cdbc
+R e301442ef11a5fd7b3f1ad65c10032f1
 U dan
-Z ac7b3250ed71ba8294bcb0eefd9636e9
+Z ea4860780f59b6fa99126e1ce0170d58
diff --git a/manifest.uuid b/manifest.uuid
index 1ca529ce3f..714c2ca131 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-0f3f8fcde1a535bcf93e23a68d2411c21785d8c0cac1f9481a06e7225755cdbc
\ No newline at end of file
+a6dffecc6b35c618cc5e5a06892765bdbec587dcd0ae8686c231a21516e38eab
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index f8e71a6731..2a30ba4244 100644
--- a/src/window.c
+++ b/src/window.c
@@ -855,6 +855,8 @@ Window *sqlite3WindowAlloc(
   if( eType==TK_RANGE && (pStart || pEnd) 
    || (eStart==TK_CURRENT && eEnd==TK_PRECEDING)
    || (eStart==TK_FOLLOWING && (eEnd==TK_PRECEDING || eEnd==TK_CURRENT))
+   || (0==sqlite3ExprIsConstantOrFunction(pStart, 0))
+   || (0==sqlite3ExprIsConstantOrFunction(pEnd, 0))
   ){
     sqlite3ErrorMsg(pParse, "unsupported window-frame type");
   }else{
diff --git a/test/window6.test b/test/window6.test
index 994605fd3b..9fd5257aec 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -254,6 +254,8 @@ foreach {tn frame} {
   2 "4 FOLLOWING"
   3 "BETWEEN 4 FOLLOWING AND CURRENT ROW"
   4 "BETWEEN 4 FOLLOWING AND 2 PRECEDING"
+  5 "BETWEEN a PRECEDING AND 2 FOLLOWING"
+  6 "BETWEEN 4 PRECEDING AND a FOLLOWING"
 } {
   do_catchsql_test 9.7.$tn "
     WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)

From e4984a2bf419391d5236b0e9558027dca15ac20a Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Fri, 6 Jul 2018 17:19:20 +0000
Subject: [PATCH 129/154] Try to improve the error messages for misformed frame
 specifications in window definitions.

FossilOrigin-Name: 927b95a0812787bcb3c28d1a0ea94717dc2cc60f6d480623f0c7cbce0c546fc9
---
 manifest          | 16 ++++-----
 manifest.uuid     |  2 +-
 src/window.c      | 89 ++++++++++++++++++++++++++++++++---------------
 test/window6.test | 23 ++++++++----
 4 files changed, 86 insertions(+), 44 deletions(-)

diff --git a/manifest b/manifest
index 32191fd4fc..af25dfdb2c 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Also\sdisallow\snon-constant\sexpressions\sin\s"<expr>\sPRECEDING"\sor\s"<expr>\nFOLLOWING"\sclauses.
-D 2018-07-06T14:31:26.509
+C Try\sto\simprove\sthe\serror\smessages\sfor\smisformed\sframe\sspecifications\sin\nwindow\sdefinitions.
+D 2018-07-06T17:19:20.546
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c b681846aee3d5831ef555a1bb40cad473cbe423f6688cc1153db966ec0b0a423
+F src/window.c 0e127e916e7a56a580242604d438707571ce250b4ad4ae1652b08fad716d9c56
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1627,7 +1627,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl a7f0e514602c8a6c43bc68c25ecc4def4f3e2abc5f721c4e6cf70eade1a6cfdf
 F test/window4.test 048b4760d0335ccefda73403ff2c054085383cbe5a0e5c175f56eda9d2f419f6
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test 9b7d99ebe582f0d024eaa5086d418e1bbaea1380a68679b5f0771846df80856d
+F test/window6.test d2a243f0bf64cfc964fa55b0425ec74d984321bbe650e47d0d74e8f84aa9b7e9
 F test/windowfault.test a44baa1b0bdf339d7792623ad3a6ebe057b1a6d7a7fd7ae880c8b744cfc0dafb
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 0f3f8fcde1a535bcf93e23a68d2411c21785d8c0cac1f9481a06e7225755cdbc
-R e301442ef11a5fd7b3f1ad65c10032f1
-U dan
-Z ea4860780f59b6fa99126e1ce0170d58
+P a6dffecc6b35c618cc5e5a06892765bdbec587dcd0ae8686c231a21516e38eab
+R 055d95416b748db9a689b97d7fc462d8
+U drh
+Z 8b00be6f689dd332950878afd9b35e47
diff --git a/manifest.uuid b/manifest.uuid
index 714c2ca131..2f86ae14fe 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-a6dffecc6b35c618cc5e5a06892765bdbec587dcd0ae8686c231a21516e38eab
\ No newline at end of file
+927b95a0812787bcb3c28d1a0ea94717dc2cc60f6d480623f0c7cbce0c546fc9
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 2a30ba4244..24dbc79300 100644
--- a/src/window.c
+++ b/src/window.c
@@ -827,18 +827,52 @@ void sqlite3WindowListDelete(sqlite3 *db, Window *p){
 }
 
 /*
-** Allocate and return a new Window object.
+** The argument expression is an PRECEDING or FOLLOWING offset.  The
+** value should be a non-negative integer.  If the value is not a
+** constant, change it to NULL.  The fact that it is then a non-negative
+** integer will be caught later.  But it is important not to leave
+** variable values in the expression tree.
+*/
+static Expr *sqlite3WindowOffsetExpr(Parse *pParse, Expr *pExpr){
+  if( 0==sqlite3ExprIsConstant(pExpr) ){
+    sqlite3ExprDelete(pParse->db, pExpr);
+    pExpr = sqlite3ExprAlloc(pParse->db, TK_NULL, 0, 0);
+  }
+  return pExpr;
+}
+
+/*
+** Allocate and return a new Window object describing a Window Definition.
 */
 Window *sqlite3WindowAlloc(
-  Parse *pParse, 
-  int eType,
-  int eStart, Expr *pStart,
-  int eEnd, Expr *pEnd
+  Parse *pParse,    /* Parsing context */
+  int eType,        /* Frame type. TK_RANGE or TK_ROWS */
+  int eStart,       /* Start type: CURRENT, PRECEDING, FOLLOWING, UNBOUNDED */
+  Expr *pStart,     /* Start window size if TK_PRECEDING or FOLLOWING */
+  int eEnd,         /* End type: CURRENT, FOLLOWING, TK_UNBOUNDED, PRECEDING */
+  Expr *pEnd        /* End window size if TK_FOLLOWING or PRECEDING */
 ){
   Window *pWin = 0;
 
+  /* Parser assures the following: */
+  assert( eType==TK_RANGE || eType==TK_ROWS );
+  assert( eStart==TK_CURRENT || eStart==TK_PRECEDING
+           || eStart==TK_UNBOUNDED || eStart==TK_FOLLOWING );
+  assert( eEnd==TK_CURRENT || eEnd==TK_FOLLOWING
+           || eEnd==TK_UNBOUNDED || eEnd==TK_PRECEDING );
+  assert( (eStart==TK_PRECEDING || eStart==TK_FOLLOWING)==(pStart!=0) );
+  assert( (eEnd==TK_FOLLOWING || eEnd==TK_PRECEDING)==(pEnd!=0) );
+
+
   /* If a frame is declared "RANGE" (not "ROWS"), then it may not use
-  ** either "<expr> PRECEDING" or "<expr> FOLLOWING". Additionally, the
+  ** either "<expr> PRECEDING" or "<expr> FOLLOWING".
+  */
+  if( eType==TK_RANGE && (pStart!=0 || pEnd!=0) ){
+    sqlite3ErrorMsg(pParse, "RANGE must use only UNBOUNDED or CURRENT ROW");
+    goto windowAllocErr;
+  }
+
+  /* Additionally, the
   ** starting boundary type may not occur earlier in the following list than
   ** the ending boundary type:
   **
@@ -852,30 +886,26 @@ Window *sqlite3WindowAlloc(
   ** boundary, and than "UNBOUNDED FOLLOWING" cannot be used as a starting
   ** frame boundary.
   */
-  if( eType==TK_RANGE && (pStart || pEnd) 
-   || (eStart==TK_CURRENT && eEnd==TK_PRECEDING)
+  if( (eStart==TK_CURRENT && eEnd==TK_PRECEDING)
    || (eStart==TK_FOLLOWING && (eEnd==TK_PRECEDING || eEnd==TK_CURRENT))
-   || (0==sqlite3ExprIsConstantOrFunction(pStart, 0))
-   || (0==sqlite3ExprIsConstantOrFunction(pEnd, 0))
   ){
-    sqlite3ErrorMsg(pParse, "unsupported window-frame type");
-  }else{
-    pWin = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
-  }
-
-  if( pWin ){
-    assert( eType );
-    pWin->eType = eType;
-    pWin->eStart = eStart;
-    pWin->eEnd = eEnd;
-    pWin->pEnd = pEnd;
-    pWin->pStart = pStart;
-  }else{
-    sqlite3ExprDelete(pParse->db, pEnd);
-    sqlite3ExprDelete(pParse->db, pStart);
+    sqlite3ErrorMsg(pParse, "unsupported frame delimiter for ROWS");
+    goto windowAllocErr;
   }
 
+  pWin = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
+  if( pWin==0 ) goto windowAllocErr;
+  pWin->eType = eType;
+  pWin->eStart = eStart;
+  pWin->eEnd = eEnd;
+  pWin->pEnd = sqlite3WindowOffsetExpr(pParse, pEnd);
+  pWin->pStart = sqlite3WindowOffsetExpr(pParse, pStart);
   return pWin;
+
+windowAllocErr:
+  sqlite3ExprDelete(pParse->db, pEnd);
+  sqlite3ExprDelete(pParse->db, pStart);
+  return 0;
 }
 
 /*
@@ -887,7 +917,8 @@ void sqlite3WindowAttach(Parse *pParse, Expr *p, Window *pWin){
       p->pWin = pWin;
       pWin->pOwner = p;
       if( p->flags & EP_Distinct ){
-        sqlite3ErrorMsg(pParse,"DISTINCT is not supported for window functions");
+        sqlite3ErrorMsg(pParse,
+           "DISTINCT is not supported for window functions");
       }
     }
   }else{
@@ -973,7 +1004,7 @@ void sqlite3WindowCodeInit(Parse *pParse, Window *pMWin){
 ** VM code to check that the value is a non-negative integer and throws
 ** an exception if it is not.
 */
-static void windowCheckFrameValue(Parse *pParse, int reg, int bEnd){
+static void windowCheckFrameOffset(Parse *pParse, int reg, int bEnd){
   static const char *azErr[] = {
     "frame starting offset must be a non-negative integer",
     "frame ending offset must be a non-negative integer"
@@ -1536,11 +1567,11 @@ static void windowCodeRowExprStep(
   ** an exception.  */
   if( pMWin->pStart ){
     sqlite3ExprCode(pParse, pMWin->pStart, regStart);
-    windowCheckFrameValue(pParse, regStart, 0);
+    windowCheckFrameOffset(pParse, regStart, 0);
   }
   if( pMWin->pEnd ){
     sqlite3ExprCode(pParse, pMWin->pEnd, regEnd);
-    windowCheckFrameValue(pParse, regEnd, 1);
+    windowCheckFrameOffset(pParse, regEnd, 1);
   }
 
   /* If this is "ROWS <expr1> FOLLOWING AND ROWS <expr2> FOLLOWING", do:
diff --git a/test/window6.test b/test/window6.test
index 9fd5257aec..6d776cbdda 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -221,13 +221,13 @@ do_catchsql_test 9.1 {
   WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
   SELECT x, group_concat(x) OVER (ORDER BY x RANGE 2 PRECEDING)
   FROM c;
-} {1 {unsupported window-frame type}}
+} {1 {RANGE must use only UNBOUNDED or CURRENT ROW}}
 
 do_catchsql_test 9.2 {
   WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
   SELECT x, group_concat(x) OVER (ORDER BY x RANGE BETWEEN UNBOUNDED PRECEDING AND 2 FOLLOWING)
   FROM c;
-} {1 {unsupported window-frame type}}
+} {1 {RANGE must use only UNBOUNDED or CURRENT ROW}}
 
 do_catchsql_test 9.3 {
   WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
@@ -254,16 +254,27 @@ foreach {tn frame} {
   2 "4 FOLLOWING"
   3 "BETWEEN 4 FOLLOWING AND CURRENT ROW"
   4 "BETWEEN 4 FOLLOWING AND 2 PRECEDING"
-  5 "BETWEEN a PRECEDING AND 2 FOLLOWING"
-  6 "BETWEEN 4 PRECEDING AND a FOLLOWING"
 } {
   do_catchsql_test 9.7.$tn "
     WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
     SELECT count() OVER (
         ORDER BY x ROWS $frame 
     ) FROM c;
-  " {1 {unsupported window-frame type}}
+  " {1 {unsupported frame delimiter for ROWS}}
 }
 
-finish_test
+do_catchsql_test 9.8.1 {
+  WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
+  SELECT count() OVER (
+      ORDER BY x ROWS BETWEEN a PRECEDING AND 2 FOLLOWING
+  ) FROM c;
+} {1 {frame starting offset must be a non-negative integer}}
+do_catchsql_test 9.8.2 {
+  WITH RECURSIVE c(x) AS (VALUES(1) UNION ALL SELECT x+1 FROM c WHERE x<5)
+  SELECT count() OVER (
+      ORDER BY x ROWS BETWEEN 2 PRECEDING AND a FOLLOWING
+  ) FROM c;
+} {1 {frame ending offset must be a non-negative integer}}
 
+
+finish_test

From d4fc49f735a3da457affb29025e1bf3d7081a99d Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 7 Jul 2018 17:30:44 +0000
Subject: [PATCH 130/154] Fix a problem with the handling of NULL values in the
 min() window function.

FossilOrigin-Name: b76f35b09235d44dc3d176377bbb9c18b7cdc9392800103ff53c54730a427a5c
---
 manifest          | 18 +++++++++---------
 manifest.uuid     |  2 +-
 src/window.c      |  3 +++
 test/window4.tcl  | 12 ++++++++++++
 test/window4.test | 12 ++++++++++++
 5 files changed, 37 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index af25dfdb2c..e5b14ee410 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Try\sto\simprove\sthe\serror\smessages\sfor\smisformed\sframe\sspecifications\sin\nwindow\sdefinitions.
-D 2018-07-06T17:19:20.546
+C Fix\sa\sproblem\swith\sthe\shandling\sof\sNULL\svalues\sin\sthe\smin()\swindow\sfunction.
+D 2018-07-07T17:30:44.852
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 0e127e916e7a56a580242604d438707571ce250b4ad4ae1652b08fad716d9c56
+F src/window.c 635b5beae647b85277eed70a83e02b3d521df26e8ec1f1be00574ff1b853d331
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1624,8 +1624,8 @@ F test/window2.tcl 9bfa842d8a62b0d36dc8c1b5972206393c43847433c6d75940b87fec93ce3
 F test/window2.test 8e6d2a1b9f54dfebee1cde961c8590cd87b4db45c50f44947a211e1b63c2a05e
 F test/window3.tcl 577a3b1ff913208e5248c04dab9df17fd760ce159a752789e26d0cb4a5f91823
 F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c4b31
-F test/window4.tcl a7f0e514602c8a6c43bc68c25ecc4def4f3e2abc5f721c4e6cf70eade1a6cfdf
-F test/window4.test 048b4760d0335ccefda73403ff2c054085383cbe5a0e5c175f56eda9d2f419f6
+F test/window4.tcl 9491acccf705d0e0f44177dc20478f978bd0bd4812a6ddd6a350881cc7781876
+F test/window4.test b43a22ad5b748c37925e64c93ed0958ebae1c8d2eca59a79350c22c2e6f609a0
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
 F test/window6.test d2a243f0bf64cfc964fa55b0425ec74d984321bbe650e47d0d74e8f84aa9b7e9
 F test/windowfault.test a44baa1b0bdf339d7792623ad3a6ebe057b1a6d7a7fd7ae880c8b744cfc0dafb
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P a6dffecc6b35c618cc5e5a06892765bdbec587dcd0ae8686c231a21516e38eab
-R 055d95416b748db9a689b97d7fc462d8
-U drh
-Z 8b00be6f689dd332950878afd9b35e47
+P 927b95a0812787bcb3c28d1a0ea94717dc2cc60f6d480623f0c7cbce0c546fc9
+R df5485ae8f16345ceb222478245270eb
+U dan
+Z 17b9a5fb82ab6bfb44f0f8593c862ee1
diff --git a/manifest.uuid b/manifest.uuid
index 2f86ae14fe..f0290ef46c 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-927b95a0812787bcb3c28d1a0ea94717dc2cc60f6d480623f0c7cbce0c546fc9
\ No newline at end of file
+b76f35b09235d44dc3d176377bbb9c18b7cdc9392800103ff53c54730a427a5c
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 24dbc79300..b1ae0b6bcc 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1085,6 +1085,8 @@ static void windowAggStep(
     if( (pWin->pFunc->funcFlags & SQLITE_FUNC_MINMAX) 
       && pWin->eStart!=TK_UNBOUNDED 
     ){
+      int addrIsNull = sqlite3VdbeAddOp1(v, OP_IsNull, regArg);
+      VdbeCoverage(v);
       if( bInverse==0 ){
         sqlite3VdbeAddOp2(v, OP_AddImm, pWin->regApp+1, 1);
         sqlite3VdbeAddOp2(v, OP_SCopy, regArg, pWin->regApp);
@@ -1096,6 +1098,7 @@ static void windowAggStep(
         sqlite3VdbeAddOp1(v, OP_Delete, pWin->csrApp);
         sqlite3VdbeJumpHere(v, sqlite3VdbeCurrentAddr(v)-2);
       }
+      sqlite3VdbeJumpHere(v, addrIsNull);
     }else if( pWin->regApp ){
       assert( pWin->pFunc->xSFunc==nth_valueStepFunc 
            || pWin->pFunc->xSFunc==first_valueStepFunc 
diff --git a/test/window4.tcl b/test/window4.tcl
index 5417c3a344..011671b66d 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -340,5 +340,17 @@ execsql_float_test 9.7 {
   SELECT cume_dist() OVER () FROM t1
 }
 
+execsql_test 10.0 {
+  DROP TABLE IF EXISTS t7;
+  CREATE TABLE t7(id INTEGER PRIMARY KEY, a INTEGER, b INTEGER);
+  INSERT INTO t7(id, a, b) VALUES
+    (1, 1, 2), (2, 1, NULL), (3, 1, 4),
+    (4, 3, NULL), (5, 3, 8), (6, 3, 1);
+}
+execsql_test 10.1 {
+  SELECT id, min(b) OVER (PARTITION BY a ORDER BY id) FROM t7;
+}
+
+
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index c81173e1df..d8026fed8b 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -1249,4 +1249,16 @@ do_test 9.7 {
   set myres
 } {1.00 1.00 1.00}
 
+do_execsql_test 10.0 {
+  DROP TABLE IF EXISTS t7;
+  CREATE TABLE t7(id INTEGER PRIMARY KEY, a INTEGER, b INTEGER);
+  INSERT INTO t7(id, a, b) VALUES
+    (1, 1, 2), (2, 1, NULL), (3, 1, 4),
+    (4, 3, NULL), (5, 3, 8), (6, 3, 1);
+} {}
+
+do_execsql_test 10.1 {
+  SELECT id, min(b) OVER (PARTITION BY a ORDER BY id) FROM t7;
+} {1 2   2 2   3 2   4 {}   5 8   6 1}
+
 finish_test

From a5ef149c4e3504af7066b8c7cfbd4acf38d83d7c Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 7 Jul 2018 17:38:49 +0000
Subject: [PATCH 131/154] Add missing VdbeCoverage() macro to window.c.

FossilOrigin-Name: 63f4d306ba19f6ba900a7d7480ccaa3d1e4a204e7c82bf5eb2e4bd849ef3a22f
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/window.c  |  1 +
 3 files changed, 8 insertions(+), 7 deletions(-)

diff --git a/manifest b/manifest
index e5b14ee410..ccc5ad8b3a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\sproblem\swith\sthe\shandling\sof\sNULL\svalues\sin\sthe\smin()\swindow\sfunction.
-D 2018-07-07T17:30:44.852
+C Add\smissing\sVdbeCoverage()\smacro\sto\swindow.c.
+D 2018-07-07T17:38:49.431
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 635b5beae647b85277eed70a83e02b3d521df26e8ec1f1be00574ff1b853d331
+F src/window.c 0ff9000757e6634f4bbf59e8273ba21d47992b7b782db5bde76db0eee90964e3
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 927b95a0812787bcb3c28d1a0ea94717dc2cc60f6d480623f0c7cbce0c546fc9
-R df5485ae8f16345ceb222478245270eb
+P b76f35b09235d44dc3d176377bbb9c18b7cdc9392800103ff53c54730a427a5c
+R 9a9cadea1ad6d03a6c8240ae8e086be3
 U dan
-Z 17b9a5fb82ab6bfb44f0f8593c862ee1
+Z 3bb8908687d2fe4d3a687df5dfa8ba78
diff --git a/manifest.uuid b/manifest.uuid
index f0290ef46c..3e273ec834 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-b76f35b09235d44dc3d176377bbb9c18b7cdc9392800103ff53c54730a427a5c
\ No newline at end of file
+63f4d306ba19f6ba900a7d7480ccaa3d1e4a204e7c82bf5eb2e4bd849ef3a22f
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index b1ae0b6bcc..7c120a5ffc 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1013,6 +1013,7 @@ static void windowCheckFrameOffset(Parse *pParse, int reg, int bEnd){
   int regZero = sqlite3GetTempReg(pParse);
   sqlite3VdbeAddOp2(v, OP_Integer, 0, regZero);
   sqlite3VdbeAddOp2(v, OP_MustBeInt, reg, sqlite3VdbeCurrentAddr(v)+2);
+  VdbeCoverage(v);
   sqlite3VdbeAddOp3(v, OP_Ge, regZero, sqlite3VdbeCurrentAddr(v)+2, reg);
   VdbeCoverage(v);
   sqlite3VdbeAddOp2(v, OP_Halt, SQLITE_ERROR, OE_Abort);

From 2c885d0575cbe6f2a7ad45cd4a631e1a359b5b00 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sat, 7 Jul 2018 19:36:04 +0000
Subject: [PATCH 132/154] Add an assert() to help verify that OP_AggInverse is
 never called on an accumulator that has not previously been processed by
 OP_AggStep.

FossilOrigin-Name: 4213889103fa37f3f11802aea81989522048a0752820603dd556f612128ddfee
---
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 src/vdbe.c    | 17 +++++++++++++++++
 3 files changed, 25 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index ccc5ad8b3a..4052b6db21 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\smissing\sVdbeCoverage()\smacro\sto\swindow.c.
-D 2018-07-07T17:38:49.431
+C Add\san\sassert()\sto\shelp\sverify\sthat\sOP_AggInverse\sis\snever\scalled\son\san\naccumulator\sthat\shas\snot\spreviously\sbeen\sprocessed\sby\sOP_AggStep.
+D 2018-07-07T19:36:04.960
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -566,7 +566,7 @@ F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
 F src/utf.c 810fbfebe12359f10bc2a011520a6e10879ab2a163bcb26c74768eab82ea62a5
 F src/util.c d9eb0a6c4aae1b00a7369eadd7ca0bbe946cb4c953b6751aa20d357c2f482157
 F src/vacuum.c 36e7d21a20c0bf6ef4ef7c399d192b5239410b7c4d3c1070fba4e30810d0b855
-F src/vdbe.c 4e2768e83fd5b705b6244855818ae40178be2edf4288a45c625c03a9f755711b
+F src/vdbe.c 800c69a80609b4837d3403e15092e585f356711823529ad1c04fe5ca8e9f9aec
 F src/vdbe.h 9c8c245fa3785266c269ab02c135c836ff49a307612186686bcdae500f409945
 F src/vdbeInt.h 6b5cbd338dc9aaad343fb11b455e47463b0474d9f79710f50e647158941146e0
 F src/vdbeapi.c af4a3de00d1851bcbc55b85dfbe52849aa2b1e17b4a5a1f3d9c257df7af361ff
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P b76f35b09235d44dc3d176377bbb9c18b7cdc9392800103ff53c54730a427a5c
-R 9a9cadea1ad6d03a6c8240ae8e086be3
-U dan
-Z 3bb8908687d2fe4d3a687df5dfa8ba78
+P 63f4d306ba19f6ba900a7d7480ccaa3d1e4a204e7c82bf5eb2e4bd849ef3a22f
+R f7d5332c6156e78db8011d9c3f819c01
+U drh
+Z 3827c8ff60b89edfd852655ba9c60594
diff --git a/manifest.uuid b/manifest.uuid
index 3e273ec834..21c88c9bdf 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-63f4d306ba19f6ba900a7d7480ccaa3d1e4a204e7c82bf5eb2e4bd849ef3a22f
\ No newline at end of file
+4213889103fa37f3f11802aea81989522048a0752820603dd556f612128ddfee
\ No newline at end of file
diff --git a/src/vdbe.c b/src/vdbe.c
index 33cacda2a0..f2e68d4c1e 100644
--- a/src/vdbe.c
+++ b/src/vdbe.c
@@ -1155,6 +1155,9 @@ case OP_Null: {           /* out2 */
   assert( pOp->p3<=(p->nMem+1 - p->nCursor) );
   pOut->flags = nullFlag = pOp->p1 ? (MEM_Null|MEM_Cleared) : MEM_Null;
   pOut->n = 0;
+#ifdef SQLITE_DEBUG
+  pOut->uTemp = 0;
+#endif
   while( cnt>0 ){
     pOut++;
     memAboutToChange(p, pOut);
@@ -6351,7 +6354,10 @@ case OP_AggStep: {
   pCtx->argc = n;
   pOp->p4type = P4_FUNCCTX;
   pOp->p4.pCtx = pCtx;
+
+  /* OP_AggInverse must have P1==1 and OP_AggStep must have P1==0 */
   assert( pOp->p1==(pOp->opcode==OP_AggInverse) );
+
   pOp->opcode = OP_AggStep1;
   /* Fall through into OP_AggStep */
 }
@@ -6364,6 +6370,17 @@ case OP_AggStep1: {
   pCtx = pOp->p4.pCtx;
   pMem = &aMem[pOp->p3];
 
+#ifdef SQLITE_DEBUG
+  if( pOp->p1 ){
+    /* This is an OP_AggInverse call.  Verify that xStep has always
+    ** been called at least once prior to any xInverse call. */
+    assert( pMem->uTemp==0x1122e0e3 );
+  }else{
+    /* This is an OP_AggStep call.  Mark it as such. */
+    pMem->uTemp = 0x1122e0e3;
+  }
+#endif
+
   /* If this function is inside of a trigger, the register array in aMem[]
   ** might change from one evaluation to the next.  The next block of code
   ** checks to see if the register array has changed, and if so it

From fd4b72853ae8811741d060d413c6eb730931b540 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sat, 7 Jul 2018 19:47:21 +0000
Subject: [PATCH 133/154] Add ALWAYS() macros on results of
 sqlite3_aggregate_context() calls in xInverse() implements, since they can
 never fail.

FossilOrigin-Name: fdef2a921d451c66ca535021d08af3ec1ab53283da2d2979378a799fd8731ef9
---
 ext/misc/json1.c |  4 +++-
 manifest         | 14 +++++++-------
 manifest.uuid    |  2 +-
 src/func.c       | 11 ++++++++---
 4 files changed, 19 insertions(+), 12 deletions(-)

diff --git a/ext/misc/json1.c b/ext/misc/json1.c
index 398dd465c9..f4f3507eb2 100644
--- a/ext/misc/json1.c
+++ b/ext/misc/json1.c
@@ -1848,7 +1848,9 @@ static void jsonGroupInverse(
   char *z;
   JsonString *pStr;
   pStr = (JsonString*)sqlite3_aggregate_context(ctx, 0);
-  if( !pStr ) return;
+  /* pStr is always non-NULL since jsonArrayStep() or jsonObjectStep() will
+  ** always have been called to initalize it */
+  if( NEVER(!pStr) ) return;
   z = pStr->zBuf;
   for(i=1; z[i]!=',' || inStr; i++){
     assert( i<pStr->nUsed );
diff --git a/manifest b/manifest
index 4052b6db21..d9f8448706 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\san\sassert()\sto\shelp\sverify\sthat\sOP_AggInverse\sis\snever\scalled\son\san\naccumulator\sthat\shas\snot\spreviously\sbeen\sprocessed\sby\sOP_AggStep.
-D 2018-07-07T19:36:04.960
+C Add\sALWAYS()\smacros\son\sresults\sof\ssqlite3_aggregate_context()\scalls\sin\nxInverse()\simplements,\ssince\sthey\scan\snever\sfail.
+D 2018-07-07T19:47:21.666
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -281,7 +281,7 @@ F ext/misc/eval.c 6ea9b22a5fa0dd973b67ca4e53555be177bc0b7b263aadf1024429457c82c0
 F ext/misc/fileio.c 48c7751c78fc4cdd29d8c862fd2f3f98bbfefa2a3cf1ca1496df4bf02eb8cded
 F ext/misc/fuzzer.c 7c64b8197bb77b7d64eff7cac7848870235d4c25
 F ext/misc/ieee754.c f190d0cc5182529acb15babd177781be1ac1718c
-F ext/misc/json1.c 8dca18a64560481f566fe03e26b60dfc95b665c709be86934d261ac21d6f1c2f
+F ext/misc/json1.c 0af57bdc87936345a0198c7b0ccca1d8f3bca7d8f4d3c157b335620c78e7363d
 F ext/misc/memvfs.c ab36f49e02ebcdf85a1e08dc4d8599ea8f343e073ac9e0bca18a98b7e1ec9567
 F ext/misc/mmapwarm.c 70b618f2d0bde43fae288ad0b7498a629f2b6f61b50a27e06fae3cd23c83af29
 F ext/misc/nextchar.c 35c8b8baacb96d92abbb34a83a997b797075b342
@@ -450,7 +450,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c 7e257eeffe9553c10a6ac0a1f0177bf740c4da834e7d6e2cbb7d3ebaa3d7f3e1
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c edbd402a742605bf984c56ed818bf0d59c4ba8085a391c7545cc9cbfc4224f83
+F src/func.c e3174d1f10dbaef9478a243d4a4d51135a9092d73ceaeafac3663aeff60737c4
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 63f4d306ba19f6ba900a7d7480ccaa3d1e4a204e7c82bf5eb2e4bd849ef3a22f
-R f7d5332c6156e78db8011d9c3f819c01
+P 4213889103fa37f3f11802aea81989522048a0752820603dd556f612128ddfee
+R b4bd6637a560cc2b671471c6eee21129
 U drh
-Z 3827c8ff60b89edfd852655ba9c60594
+Z a050e55c29dd8997b8d0c52a34704773
diff --git a/manifest.uuid b/manifest.uuid
index 21c88c9bdf..c90cf08773 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-4213889103fa37f3f11802aea81989522048a0752820603dd556f612128ddfee
\ No newline at end of file
+fdef2a921d451c66ca535021d08af3ec1ab53283da2d2979378a799fd8731ef9
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index 74c2a1b52b..3e780ce60f 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1521,7 +1521,9 @@ static void sumInverse(sqlite3_context *context, int argc, sqlite3_value**argv){
   UNUSED_PARAMETER(argc);
   p = sqlite3_aggregate_context(context, sizeof(*p));
   type = sqlite3_value_numeric_type(argv[0]);
-  if( p && type!=SQLITE_NULL ){
+  /* p is always non-NULL because sumStep() will have been called first
+  ** to initialize it */
+  if( ALWAYS(p) && type!=SQLITE_NULL ){
     p->cnt--;
     if( type==SQLITE_INTEGER ){
       i64 v = sqlite3_value_int64(argv[0]);
@@ -1605,7 +1607,8 @@ static void countFinalize(sqlite3_context *context){
 static void countInverse(sqlite3_context *ctx, int argc, sqlite3_value **argv){
   CountCtx *p;
   p = sqlite3_aggregate_context(ctx, sizeof(*p));
-  if( (argc==0 || SQLITE_NULL!=sqlite3_value_type(argv[0])) && p ){
+  /* p is always non-NULL since countStep() will have been called first */
+  if( (argc==0 || SQLITE_NULL!=sqlite3_value_type(argv[0])) && ALWAYS(p) ){
     p->n--;
 #ifdef SQLITE_DEBUG
     p->bInverse = 1;
@@ -1724,7 +1727,9 @@ static void groupConcatInverse(
   StrAccum *pAccum;
   if( sqlite3_value_type(argv[0])==SQLITE_NULL ) return;
   pAccum = (StrAccum*)sqlite3_aggregate_context(context, sizeof(*pAccum));
-  if( pAccum ){
+  /* pAccum is always non-NULL since groupConcatStep() will have always
+  ** run frist to initialize it */
+  if( ALWAYS(pAccum) ){
     n = sqlite3_value_bytes(argv[0]);
     if( argc==2 ){
       n += sqlite3_value_bytes(argv[1]);

From 8f0c712a1fd56f9d8d72617592b7b9c17a83af97 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 7 Jul 2018 20:13:32 +0000
Subject: [PATCH 134/154] Fix an LSM problem caused by using the same cursor
 for equality and range scans.

FossilOrigin-Name: f05bead371d41ca5beef1f82e4c920c90e2eb9cd9fd537a5c91973bf9bd4eedb
---
 ext/lsm1/lsm-test/lsmtest1.c     |  4 ++++
 ext/lsm1/lsm-test/lsmtest_tdb3.c | 27 +++++++++++++++++++++------
 ext/lsm1/lsm_sorted.c            |  2 +-
 manifest                         | 18 +++++++++---------
 manifest.uuid                    |  2 +-
 5 files changed, 36 insertions(+), 17 deletions(-)

diff --git a/ext/lsm1/lsm-test/lsmtest1.c b/ext/lsm1/lsm-test/lsmtest1.c
index 665dc15e58..dcbc718424 100644
--- a/ext/lsm1/lsm-test/lsmtest1.c
+++ b/ext/lsm1/lsm-test/lsmtest1.c
@@ -274,6 +274,7 @@ static void doDataTest1(
   int rc = LSM_OK;
   Datasource *pData;
   TestDb *pDb;
+  int iToggle = 0;
 
   /* Start the test case, open a database and allocate the datasource. */
   pDb = testOpen(zSystem, 1, &rc);
@@ -287,8 +288,11 @@ static void doDataTest1(
     testWriteDatasourceRange(pDb, pData, i, p->nVerify, &rc);
     i += p->nVerify;
 
+    if( iToggle ) testBegin(pDb, 1, &rc);
     /* Check that the db content is correct. */
     testDbContents(pDb, pData, p->nRow, 0, i-1, p->nTest, p->bTestScan, &rc);
+    if( iToggle ) testCommit(pDb, 0, &rc);
+    iToggle = (iToggle+1)%2;
 
     if( bRecover ){
       testReopenRecover(&pDb, &rc);
diff --git a/ext/lsm1/lsm-test/lsmtest_tdb3.c b/ext/lsm1/lsm-test/lsmtest_tdb3.c
index c21e243b5c..a0d266f8cb 100644
--- a/ext/lsm1/lsm-test/lsmtest_tdb3.c
+++ b/ext/lsm1/lsm-test/lsmtest_tdb3.c
@@ -617,8 +617,12 @@ static int test_lsm_fetch(
 
   if( pKey==0 ) return LSM_OK;
 
-  rc = lsm_csr_open(pDb->db, &csr);
-  if( rc!=LSM_OK ) return rc;
+  if( pDb->pCsr==0 ){
+    rc = lsm_csr_open(pDb->db, &csr);
+    if( rc!=LSM_OK ) return rc;
+  }else{
+    csr = pDb->pCsr;
+  }
 
   rc = lsm_csr_seek(csr, pKey, nKey, LSM_SEEK_EQ);
   if( rc==LSM_OK ){
@@ -638,7 +642,9 @@ static int test_lsm_fetch(
       *pnVal = -1;
     }
   }
-  lsm_csr_close(csr);
+  if( pDb->pCsr==0 ){
+    lsm_csr_close(csr);
+  }
   return rc;
 }
 
@@ -652,10 +658,16 @@ static int test_lsm_scan(
 ){
   LsmDb *pDb = (LsmDb *)pTestDb;
   lsm_cursor *csr;
+  lsm_cursor *csr2 = 0;
   int rc;
 
-  rc = lsm_csr_open(pDb->db, &csr);
-  if( rc!=LSM_OK ) return rc;
+  if( pDb->pCsr==0 ){
+    rc = lsm_csr_open(pDb->db, &csr);
+    if( rc!=LSM_OK ) return rc;
+  }else{
+    rc = LSM_OK;
+    csr = pDb->pCsr;
+  }
 
   if( bReverse ){
     if( pLast ){
@@ -696,7 +708,9 @@ static int test_lsm_scan(
     }
   }
 
-  lsm_csr_close(csr);
+  if( pDb->pCsr==0 ){
+    lsm_csr_close(csr);
+  }
   return rc;
 }
 
@@ -762,6 +776,7 @@ static void xWorkHook(lsm_db *db, void *pArg){
 #define TEST_MT_MIN_CKPT -4
 #define TEST_MT_MAX_CKPT -5
 
+
 int test_lsm_config_str(
   LsmDb *pLsm,
   lsm_db *db, 
diff --git a/ext/lsm1/lsm_sorted.c b/ext/lsm1/lsm_sorted.c
index de962b8808..68a99dc469 100644
--- a/ext/lsm1/lsm_sorted.c
+++ b/ext/lsm1/lsm_sorted.c
@@ -2868,7 +2868,7 @@ static int multiCursorEnd(MultiCursor *pCsr, int bLast){
   int rc = LSM_OK;
   int i;
 
-  pCsr->flags &= ~(CURSOR_NEXT_OK | CURSOR_PREV_OK);
+  pCsr->flags &= ~(CURSOR_NEXT_OK | CURSOR_PREV_OK | CURSOR_SEEK_EQ);
   pCsr->flags |= (bLast ? CURSOR_PREV_OK : CURSOR_NEXT_OK);
   pCsr->iFree = 0;
 
diff --git a/manifest b/manifest
index d9f8448706..e1d8179dca 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\sALWAYS()\smacros\son\sresults\sof\ssqlite3_aggregate_context()\scalls\sin\nxInverse()\simplements,\ssince\sthey\scan\snever\sfail.
-D 2018-07-07T19:47:21.666
+C Fix\san\sLSM\sproblem\scaused\sby\susing\sthe\ssame\scursor\sfor\sequality\sand\srange\nscans.
+D 2018-07-07T20:13:32.703
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -225,7 +225,7 @@ F ext/lsm1/Makefile 98b0a24b45e248283d6bea4b6cb3e58d7b394edd8e96a0ac28c5fa510481
 F ext/lsm1/Makefile.msc f8c878b467232226de288da320e1ac71c131f5ec91e08b21f502303347260013
 F ext/lsm1/lsm-test/README 87ea529d2abe615e856d4714bfe8bb185e6c2771b8612aa6298588b7b43e6f86
 F ext/lsm1/lsm-test/lsmtest.h cf58528ffe0cfe535e91b44584e2ec5fb1caacdabecef0d8dcf83bf83168bf28
-F ext/lsm1/lsm-test/lsmtest1.c 33158978327f800e82b6a47c09b86ace809f56a9ff10b0162273ec1186cc3153
+F ext/lsm1/lsm-test/lsmtest1.c ae6ba48a0851b39be69a7d0eb220bfb9521a526e926223d5014bd385df10abb3
 F ext/lsm1/lsm-test/lsmtest2.c 188b09aec776516aeedcfd13b9c6faf85ba16b3671a0897a2c740ee00a5dc4f8
 F ext/lsm1/lsm-test/lsmtest3.c 9ab87528a36dbf4a61d7c8ad954f5ee368c0878c127b84b942b2e2abe522de26
 F ext/lsm1/lsm-test/lsmtest4.c d258d6a245db5d8eaede096e2368d23f859c5e92c80ab9122463f708514fe10c
@@ -243,7 +243,7 @@ F ext/lsm1/lsm-test/lsmtest_mem.c 4e63c764345ab1df59d4f13a77980c6f3643798210b10d
 F ext/lsm1/lsm-test/lsmtest_tdb.c 618a8619183fda4f5540fcde15f9068293c5e3180e1a246e34409b0c148758b3
 F ext/lsm1/lsm-test/lsmtest_tdb.h 8733eee249b12956a9df8322994b43d19bd8c02ad2e8b0bb5164db4d6ccc1735
 F ext/lsm1/lsm-test/lsmtest_tdb2.cc 99ea7f2dd9c7536c8fb9bdd329e4cfeb76899f3ddf6f48bdd3926e016922b715
-F ext/lsm1/lsm-test/lsmtest_tdb3.c b4e46b1d2fec553fe4efb44e341b43abd20556fde610db0cfffdc2300b72defe
+F ext/lsm1/lsm-test/lsmtest_tdb3.c c38bb8994e7416e6b2be480e095f4f4cda582126204e632d165c4b1feefc5aea
 F ext/lsm1/lsm-test/lsmtest_tdb4.c 47e8bb5eba266472d690fb8264f1855ebdba0ae5a0e541e35fcda61ebf1d277f
 F ext/lsm1/lsm-test/lsmtest_util.c 241622db5a332a09c8e6e7606b617d288a37b557f7d3bce0bb97809f67cc2806
 F ext/lsm1/lsm-test/lsmtest_win32.c 0e0a224674c4d3170631c41b026b56c7e1672b151f5261e1b4cc19068641da2d
@@ -256,7 +256,7 @@ F ext/lsm1/lsm_main.c b5703f8042e71d3a2d65e671f6832e077e79e89e9975818f67f9699226
 F ext/lsm1/lsm_mem.c 4c51ea9fa285ee6e35301b33491642d071740a0a
 F ext/lsm1/lsm_mutex.c 378edf0a2b142b4f7640ee982df06d50b98788ea
 F ext/lsm1/lsm_shared.c 76adfc1ed9ffebaf92746dde4b370ccc48143ca8b05b563816eadd2aadf1c525
-F ext/lsm1/lsm_sorted.c df7b393d9e4b85e6ad07181c6434d58a69a9145ee925d89c3ee1d2a210adaf9a
+F ext/lsm1/lsm_sorted.c 1abed5e7bc0332bb33fc565249aa7d15e98b7510a4898d86237bc07e82e45d06
 F ext/lsm1/lsm_str.c 65e361b488c87b10bf3e5c0070b14ffc602cf84f094880bece77bbf6678bca82
 F ext/lsm1/lsm_tree.c 682679d7ef2b8b6f2fe77aeb532c8d29695bca671c220b0abac77069de5fb9fb
 F ext/lsm1/lsm_unix.c 57361bcf5b1a1a028f5d66571ee490e9064d2cfb145a2cc9e5ddade467bb551b
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 4213889103fa37f3f11802aea81989522048a0752820603dd556f612128ddfee
-R b4bd6637a560cc2b671471c6eee21129
-U drh
-Z a050e55c29dd8997b8d0c52a34704773
+P fdef2a921d451c66ca535021d08af3ec1ab53283da2d2979378a799fd8731ef9
+R 9bf8d4422d287c0c0efb3b4bda1c617d
+U dan
+Z c81820453c426810f93bdde5e2c49fcf
diff --git a/manifest.uuid b/manifest.uuid
index c90cf08773..ee53efa43d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-fdef2a921d451c66ca535021d08af3ec1ab53283da2d2979378a799fd8731ef9
\ No newline at end of file
+f05bead371d41ca5beef1f82e4c920c90e2eb9cd9fd537a5c91973bf9bd4eedb
\ No newline at end of file

From 491d4c89f588571bcb057a84da4acfe889c15c90 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sat, 7 Jul 2018 20:23:46 +0000
Subject: [PATCH 135/154] Fix the JSON extension so that it can be compiled
 separately from the amalgamation.

FossilOrigin-Name: 4b8cfe7bfe5f049eb4607fd480429fcd2060e691891d8bffc9917f13fa373988
---
 ext/misc/json1.c |  2 ++
 manifest         | 14 +++++++-------
 manifest.uuid    |  2 +-
 3 files changed, 10 insertions(+), 8 deletions(-)

diff --git a/ext/misc/json1.c b/ext/misc/json1.c
index f4f3507eb2..57b0f9c7c5 100644
--- a/ext/misc/json1.c
+++ b/ext/misc/json1.c
@@ -1848,9 +1848,11 @@ static void jsonGroupInverse(
   char *z;
   JsonString *pStr;
   pStr = (JsonString*)sqlite3_aggregate_context(ctx, 0);
+#ifdef NEVER
   /* pStr is always non-NULL since jsonArrayStep() or jsonObjectStep() will
   ** always have been called to initalize it */
   if( NEVER(!pStr) ) return;
+#endif
   z = pStr->zBuf;
   for(i=1; z[i]!=',' || inStr; i++){
     assert( i<pStr->nUsed );
diff --git a/manifest b/manifest
index e1d8179dca..4a4ada0fec 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\san\sLSM\sproblem\scaused\sby\susing\sthe\ssame\scursor\sfor\sequality\sand\srange\nscans.
-D 2018-07-07T20:13:32.703
+C Fix\sthe\sJSON\sextension\sso\sthat\sit\scan\sbe\scompiled\sseparately\sfrom\sthe\namalgamation.
+D 2018-07-07T20:23:46.817
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -281,7 +281,7 @@ F ext/misc/eval.c 6ea9b22a5fa0dd973b67ca4e53555be177bc0b7b263aadf1024429457c82c0
 F ext/misc/fileio.c 48c7751c78fc4cdd29d8c862fd2f3f98bbfefa2a3cf1ca1496df4bf02eb8cded
 F ext/misc/fuzzer.c 7c64b8197bb77b7d64eff7cac7848870235d4c25
 F ext/misc/ieee754.c f190d0cc5182529acb15babd177781be1ac1718c
-F ext/misc/json1.c 0af57bdc87936345a0198c7b0ccca1d8f3bca7d8f4d3c157b335620c78e7363d
+F ext/misc/json1.c f5dc3b295db0ce88549c3ba13c7433efecfb74b80087663c638e67c9c753e7f6
 F ext/misc/memvfs.c ab36f49e02ebcdf85a1e08dc4d8599ea8f343e073ac9e0bca18a98b7e1ec9567
 F ext/misc/mmapwarm.c 70b618f2d0bde43fae288ad0b7498a629f2b6f61b50a27e06fae3cd23c83af29
 F ext/misc/nextchar.c 35c8b8baacb96d92abbb34a83a997b797075b342
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P fdef2a921d451c66ca535021d08af3ec1ab53283da2d2979378a799fd8731ef9
-R 9bf8d4422d287c0c0efb3b4bda1c617d
-U dan
-Z c81820453c426810f93bdde5e2c49fcf
+P f05bead371d41ca5beef1f82e4c920c90e2eb9cd9fd537a5c91973bf9bd4eedb
+R 616db2e38aab8dbe40d723034c2ec165
+U drh
+Z e80665d045601ffc0b281bf3fb95a878
diff --git a/manifest.uuid b/manifest.uuid
index ee53efa43d..8e5f7f6a73 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-f05bead371d41ca5beef1f82e4c920c90e2eb9cd9fd537a5c91973bf9bd4eedb
\ No newline at end of file
+4b8cfe7bfe5f049eb4607fd480429fcd2060e691891d8bffc9917f13fa373988
\ No newline at end of file

From 51a6b193373ef7455453b12d04f8054bc3edf4f9 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Sat, 7 Jul 2018 20:26:30 +0000
Subject: [PATCH 136/154] Fix another problem with reusing LSM cursors for
 range scans.

FossilOrigin-Name: ae3fc7652f27ba0a86f4c26f64c2e148d9496a5edb7f54dc9980edd91c326e4f
---
 ext/lsm1/lsm-test/lsmtest_tdb3.c | 12 ++++++++++++
 ext/lsm1/lsm_sorted.c            |  5 +++++
 manifest                         | 16 ++++++++--------
 manifest.uuid                    |  2 +-
 4 files changed, 26 insertions(+), 9 deletions(-)

diff --git a/ext/lsm1/lsm-test/lsmtest_tdb3.c b/ext/lsm1/lsm-test/lsmtest_tdb3.c
index a0d266f8cb..e29497af20 100644
--- a/ext/lsm1/lsm-test/lsmtest_tdb3.c
+++ b/ext/lsm1/lsm-test/lsmtest_tdb3.c
@@ -669,6 +669,18 @@ static int test_lsm_scan(
     csr = pDb->pCsr;
   }
 
+  /* To enhance testing, if both pLast and pFirst are defined, seek the
+  ** cursor to the "end" boundary here. Then the next block seeks it to
+  ** the "start" ready for the scan. The point is to test that cursors
+  ** can be reused.  */
+  if( pLast && pFirst ){
+    if( bReverse ){
+      rc = lsm_csr_seek(csr, pFirst, nFirst, LSM_SEEK_LE);
+    }else{
+      rc = lsm_csr_seek(csr, pLast, nLast, LSM_SEEK_GE);
+    }
+  }
+
   if( bReverse ){
     if( pLast ){
       rc = lsm_csr_seek(csr, pLast, nLast, LSM_SEEK_LE);
diff --git a/ext/lsm1/lsm_sorted.c b/ext/lsm1/lsm_sorted.c
index 68a99dc469..4a24e4b829 100644
--- a/ext/lsm1/lsm_sorted.c
+++ b/ext/lsm1/lsm_sorted.c
@@ -1922,6 +1922,7 @@ static int seekInLevel(
   ** is not a composite level and there is no split-key). Search the 
   ** left-hand-side of the level in this case.  */
   if( res<0 ){
+    int i;
     int iPtr = 0;
     if( nRhs==0 ) iPtr = (int)*piPgno;
 
@@ -1931,12 +1932,16 @@ static int seekInLevel(
     if( rc==LSM_OK && nRhs>0 && eSeek==LSM_SEEK_GE && aPtr[0].pPg==0 ){
       res = 0;
     }
+    for(i=1; i<=nRhs; i++){
+      segmentPtrReset(&aPtr[i], LSM_SEGMENTPTR_FREE_THRESHOLD);
+    }
   }
   
   if( res>=0 ){
     int bHit = 0;                 /* True if at least one rhs is not EOF */
     int iPtr = (int)*piPgno;
     int i;
+    segmentPtrReset(&aPtr[0], LSM_SEGMENTPTR_FREE_THRESHOLD);
     for(i=1; rc==LSM_OK && i<=nRhs && bStop==0; i++){
       SegmentPtr *pPtr = &aPtr[i];
       iOut = 0;
diff --git a/manifest b/manifest
index 4a4ada0fec..7758afc840 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sthe\sJSON\sextension\sso\sthat\sit\scan\sbe\scompiled\sseparately\sfrom\sthe\namalgamation.
-D 2018-07-07T20:23:46.817
+C Fix\sanother\sproblem\swith\sreusing\sLSM\scursors\sfor\srange\sscans.
+D 2018-07-07T20:26:30.030
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -243,7 +243,7 @@ F ext/lsm1/lsm-test/lsmtest_mem.c 4e63c764345ab1df59d4f13a77980c6f3643798210b10d
 F ext/lsm1/lsm-test/lsmtest_tdb.c 618a8619183fda4f5540fcde15f9068293c5e3180e1a246e34409b0c148758b3
 F ext/lsm1/lsm-test/lsmtest_tdb.h 8733eee249b12956a9df8322994b43d19bd8c02ad2e8b0bb5164db4d6ccc1735
 F ext/lsm1/lsm-test/lsmtest_tdb2.cc 99ea7f2dd9c7536c8fb9bdd329e4cfeb76899f3ddf6f48bdd3926e016922b715
-F ext/lsm1/lsm-test/lsmtest_tdb3.c c38bb8994e7416e6b2be480e095f4f4cda582126204e632d165c4b1feefc5aea
+F ext/lsm1/lsm-test/lsmtest_tdb3.c 7a7ccae189f5bb25bcd1ec3bbd740529706eded7f6729a5a0a9eeaeb57785320
 F ext/lsm1/lsm-test/lsmtest_tdb4.c 47e8bb5eba266472d690fb8264f1855ebdba0ae5a0e541e35fcda61ebf1d277f
 F ext/lsm1/lsm-test/lsmtest_util.c 241622db5a332a09c8e6e7606b617d288a37b557f7d3bce0bb97809f67cc2806
 F ext/lsm1/lsm-test/lsmtest_win32.c 0e0a224674c4d3170631c41b026b56c7e1672b151f5261e1b4cc19068641da2d
@@ -256,7 +256,7 @@ F ext/lsm1/lsm_main.c b5703f8042e71d3a2d65e671f6832e077e79e89e9975818f67f9699226
 F ext/lsm1/lsm_mem.c 4c51ea9fa285ee6e35301b33491642d071740a0a
 F ext/lsm1/lsm_mutex.c 378edf0a2b142b4f7640ee982df06d50b98788ea
 F ext/lsm1/lsm_shared.c 76adfc1ed9ffebaf92746dde4b370ccc48143ca8b05b563816eadd2aadf1c525
-F ext/lsm1/lsm_sorted.c 1abed5e7bc0332bb33fc565249aa7d15e98b7510a4898d86237bc07e82e45d06
+F ext/lsm1/lsm_sorted.c 6f7d8cf7a7d3d3f1ab5d9ba6347e8f39f3d73c00ec48afcd0c4bcbefd806f9b8
 F ext/lsm1/lsm_str.c 65e361b488c87b10bf3e5c0070b14ffc602cf84f094880bece77bbf6678bca82
 F ext/lsm1/lsm_tree.c 682679d7ef2b8b6f2fe77aeb532c8d29695bca671c220b0abac77069de5fb9fb
 F ext/lsm1/lsm_unix.c 57361bcf5b1a1a028f5d66571ee490e9064d2cfb145a2cc9e5ddade467bb551b
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P f05bead371d41ca5beef1f82e4c920c90e2eb9cd9fd537a5c91973bf9bd4eedb
-R 616db2e38aab8dbe40d723034c2ec165
-U drh
-Z e80665d045601ffc0b281bf3fb95a878
+P 4b8cfe7bfe5f049eb4607fd480429fcd2060e691891d8bffc9917f13fa373988
+R 30589e318928e413de309a69449a613b
+U dan
+Z 36c3a96195f8670c51ccae820f038ab1
diff --git a/manifest.uuid b/manifest.uuid
index 8e5f7f6a73..dccd51a652 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-4b8cfe7bfe5f049eb4607fd480429fcd2060e691891d8bffc9917f13fa373988
\ No newline at end of file
+ae3fc7652f27ba0a86f4c26f64c2e148d9496a5edb7f54dc9980edd91c326e4f
\ No newline at end of file

From a546ef219e2badb1e37d1c3f2db980faec14246c Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sat, 7 Jul 2018 20:55:16 +0000
Subject: [PATCH 137/154] Simplifications to the implementation of the sum()
 SQL function.

FossilOrigin-Name: a8b13002378fc4ef0b41c367b44b67bf2b28b6624303c087a3c6d657b5bfe32e
---
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 src/func.c    | 11 +++++------
 3 files changed, 13 insertions(+), 14 deletions(-)

diff --git a/manifest b/manifest
index 7758afc840..8189768335 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sanother\sproblem\swith\sreusing\sLSM\scursors\sfor\srange\sscans.
-D 2018-07-07T20:26:30.030
+C Simplifications\sto\sthe\simplementation\sof\sthe\ssum()\sSQL\sfunction.
+D 2018-07-07T20:55:16.666
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -450,7 +450,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c 7e257eeffe9553c10a6ac0a1f0177bf740c4da834e7d6e2cbb7d3ebaa3d7f3e1
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c e3174d1f10dbaef9478a243d4a4d51135a9092d73ceaeafac3663aeff60737c4
+F src/func.c e94214037dbc9d258ece54434fe120b419880550239c80dcd101afe7b2a51131
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 4b8cfe7bfe5f049eb4607fd480429fcd2060e691891d8bffc9917f13fa373988
-R 30589e318928e413de309a69449a613b
-U dan
-Z 36c3a96195f8670c51ccae820f038ab1
+P ae3fc7652f27ba0a86f4c26f64c2e148d9496a5edb7f54dc9980edd91c326e4f
+R 7fefa3b6e3f1ad000f6b20afb58dadef
+U drh
+Z a5540dd7ff49b20c02f142203cdf3720
diff --git a/manifest.uuid b/manifest.uuid
index dccd51a652..3934e737f3 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-ae3fc7652f27ba0a86f4c26f64c2e148d9496a5edb7f54dc9980edd91c326e4f
\ No newline at end of file
+a8b13002378fc4ef0b41c367b44b67bf2b28b6624303c087a3c6d657b5bfe32e
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index 3e780ce60f..61575745ad 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1505,7 +1505,7 @@ static void sumStep(sqlite3_context *context, int argc, sqlite3_value **argv){
       i64 v = sqlite3_value_int64(argv[0]);
       p->rSum += v;
       if( (p->approx|p->overflow)==0 && sqlite3AddInt64(&p->iSum, v) ){
-        p->overflow = 1;
+        p->approx = p->overflow = 1;
       }
     }else{
       p->rSum += sqlite3_value_double(argv[0]);
@@ -1524,16 +1524,15 @@ static void sumInverse(sqlite3_context *context, int argc, sqlite3_value**argv){
   /* p is always non-NULL because sumStep() will have been called first
   ** to initialize it */
   if( ALWAYS(p) && type!=SQLITE_NULL ){
+    assert( p->cnt>0 );
     p->cnt--;
-    if( type==SQLITE_INTEGER ){
+    assert( type==SQLITE_INTEGER || p->approx );
+    if( type==SQLITE_INTEGER && p->approx==0 ){
       i64 v = sqlite3_value_int64(argv[0]);
       p->rSum -= v;
-      if( (p->approx|p->overflow)==0 && sqlite3AddInt64(&p->iSum, -1*v) ){
-        p->overflow = 1;
-      }
+      p->iSum -= v;
     }else{
       p->rSum -= sqlite3_value_double(argv[0]);
-      p->approx = 1;
     }
   }
 }

From 19dc4d40e765d5d47146b75a3b89a9921e592fe1 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Sun, 8 Jul 2018 01:02:26 +0000
Subject: [PATCH 138/154] Identify specific FuncDef objects for window
 functions using the pointer to the function name (FuncDef.zName) rather than
 the pointer to the xStep method. This allows xStep method pointer to be
 replaced with a single noopStepFunc() procedure, and thus save having lots of
 different no-op step functions.

FossilOrigin-Name: 410e13b0e0fb6e040808f076014d55ecf2b541c5439b4fd53c5bdcb8d800098e
---
 manifest      |  12 ++--
 manifest.uuid |   2 +-
 src/window.c  | 181 +++++++++++++++++++++++++-------------------------
 3 files changed, 99 insertions(+), 96 deletions(-)

diff --git a/manifest b/manifest
index 8189768335..72ccb1dac4 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Simplifications\sto\sthe\simplementation\sof\sthe\ssum()\sSQL\sfunction.
-D 2018-07-07T20:55:16.666
+C Identify\sspecific\sFuncDef\sobjects\sfor\swindow\sfunctions\susing\sthe\spointer\sto\nthe\sfunction\sname\s(FuncDef.zName)\srather\sthan\sthe\spointer\sto\sthe\sxStep\smethod.\nThis\sallows\sxStep\smethod\spointer\sto\sbe\sreplaced\swith\sa\ssingle\snoopStepFunc()\nprocedure,\sand\sthus\ssave\shaving\slots\sof\sdifferent\sno-op\sstep\sfunctions.
+D 2018-07-08T01:02:26.110
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 0ff9000757e6634f4bbf59e8273ba21d47992b7b782db5bde76db0eee90964e3
+F src/window.c e42415fb8d1421fd9353872244e8a90f4025cd6a4a215f1603f06735e9be20b6
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P ae3fc7652f27ba0a86f4c26f64c2e148d9496a5edb7f54dc9980edd91c326e4f
-R 7fefa3b6e3f1ad000f6b20afb58dadef
+P a8b13002378fc4ef0b41c367b44b67bf2b28b6624303c087a3c6d657b5bfe32e
+R 8358a593d4ce0687282d59db38a347ed
 U drh
-Z a5540dd7ff49b20c02f142203cdf3720
+Z 0694fc0bf0c4178f6f522b94761738e7
diff --git a/manifest.uuid b/manifest.uuid
index 3934e737f3..cc5c5bf1d4 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-a8b13002378fc4ef0b41c367b44b67bf2b28b6624303c087a3c6d657b5bfe32e
\ No newline at end of file
+410e13b0e0fb6e040808f076014d55ecf2b541c5439b4fd53c5bdcb8d800098e
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 7c120a5ffc..3ff88f79a0 100644
--- a/src/window.c
+++ b/src/window.c
@@ -152,12 +152,6 @@ static void row_numberStepFunc(
   i64 *p = (i64*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ) (*p)++;
 }
-static void row_numberInvFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
 static void row_numberValueFunc(sqlite3_context *pCtx){
   i64 *p = (i64*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   sqlite3_result_int64(pCtx, (p ? *p : 0));
@@ -188,12 +182,6 @@ static void dense_rankStepFunc(
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ) p->nStep = 1;
 }
-static void dense_rankInvFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
 static void dense_rankValueFunc(sqlite3_context *pCtx){
   struct CallCount *p;
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
@@ -226,12 +214,6 @@ static void rankStepFunc(
     }
   }
 }
-static void rankInvFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
 static void rankValueFunc(sqlite3_context *pCtx){
   struct CallCount *p;
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
@@ -266,12 +248,6 @@ static void percent_rankStepFunc(
     }
   }
 }
-static void percent_rankInvFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
 static void percent_rankValueFunc(sqlite3_context *pCtx){
   struct CallCount *p;
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
@@ -308,12 +284,6 @@ static void cume_distStepFunc(
     p->nStep++;
   }
 }
-static void cume_distInvFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
 static void cume_distValueFunc(sqlite3_context *pCtx){
   struct CallCount *p;
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
@@ -359,12 +329,6 @@ static void ntileStepFunc(
     p->iRow++;
   }
 }
-static void ntileInvFunc(
-  sqlite3_context *pCtx, 
-  int nArg,
-  sqlite3_value **apArg
-){
-}
 static void ntileValueFunc(sqlite3_context *pCtx){
   struct NtileCtx *p;
   p = (struct NtileCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
@@ -449,50 +413,89 @@ static void last_valueFinalizeFunc(sqlite3_context *pCtx){
 }
 
 /*
-** No-op implementations of nth_value(), first_value(), lead() and lag().
-** These are all implemented inline using VDBE instructions. 
+** Static names for the built-in window function names.  These static
+** names are used, rather than string literals, so that FuncDef objects
+** can be associated with a particular window function by direct
+** comparison of the zName pointer.  Example:
+**
+**       if( pFuncDef->zName==row_valueName ){ ... }
 */
-static void nth_valueStepFunc(sqlite3_context *pCtx, int n, sqlite3_value **a){}
-static void nth_valueInvFunc(sqlite3_context *pCtx, int n, sqlite3_value **ap){}
-static void nth_valueValueFunc(sqlite3_context *pCtx){}
-static void first_valueStepFunc(sqlite3_context *p, int n, sqlite3_value **ap){}
-static void first_valueInvFunc(sqlite3_context *p, int n, sqlite3_value **ap){}
-static void first_valueValueFunc(sqlite3_context *pCtx){}
-static void leadStepFunc(sqlite3_context *pCtx, int n, sqlite3_value **ap){}
-static void leadInvFunc(sqlite3_context *pCtx, int n, sqlite3_value **ap){}
-static void leadValueFunc(sqlite3_context *pCtx){}
-static void lagStepFunc(sqlite3_context *pCtx, int n, sqlite3_value **ap){}
-static void lagInvFunc(sqlite3_context *pCtx, int n, sqlite3_value **ap){}
-static void lagValueFunc(sqlite3_context *pCtx){}
+static const char row_numberName[] =   "row_number";
+static const char dense_rankName[] =   "dense_rank";
+static const char rankName[] =         "rank";
+static const char percent_rankName[] = "percent_rank";
+static const char cume_distName[] =    "cume_dist";
+static const char ntileName[] =        "ntile";
+static const char last_valueName[] =   "last_value";
+static const char nth_valueName[] =    "nth_value";
+static const char first_valueName[] =  "first_value";
+static const char leadName[] =         "lead";
+static const char lagName[] =          "lag";
 
-#define WINDOWFUNC(name,nArg,extra) {                                      \
-  nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
-  name ## StepFunc, name ## ValueFunc, name ## ValueFunc,                  \
-  name ## InvFunc, #name                                               \
-}
+/*
+** No-op implementations of xStep() and xFinalize().  Used as place-holders
+** for built-in window functions that never call those interfaces.
+**
+** The noopValueFunc() is called but is expected to do nothing.  The
+** noopStepFunc() is never called, and so it is marked with NO_TEST to
+** let the test coverage routine know not to expect this function to be
+** invoked.
+*/
+static void noopStepFunc(    /*NO_TEST*/
+  sqlite3_context *p,        /*NO_TEST*/
+  int n,                     /*NO_TEST*/
+  sqlite3_value **a          /*NO_TEST*/
+){                           /*NO_TEST*/
+  assert(0);                 /*NO_TEST*/
+}                            /*NO_TEST*/
+static void noopValueFunc(sqlite3_context *p){ /*no-op*/; }
 
-#define WINDOWFUNCF(name,nArg,extra) {                                     \
+/* Window functions that use all window interfaces: xStep, xFinal,
+** xValue, and xInverse */
+#define WINDOWFUNCALL(name,nArg,extra) {                                   \
   nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
   name ## StepFunc, name ## FinalizeFunc, name ## ValueFunc,               \
-  name ## InvFunc, #name                                               \
+  name ## InvFunc, name ## Name                                            \
 }
 
+/* Window functions that are implemented using bytecode and thus have
+** no-op routines for their methods */
+#define WINDOWFUNCNOOP(name,nArg,extra) {                                  \
+  nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
+  noopStepFunc, noopValueFunc, noopValueFunc,                              \
+  noopStepFunc, name ## Name                                               \
+}
+
+/* Window functions that use all window interfaces: xStep, the
+** same routine for xFinalize and xValue and which never call
+** xInverse. */
+#define WINDOWFUNCX(name,nArg,extra) {                                     \
+  nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
+  name ## StepFunc, name ## ValueFunc, name ## ValueFunc,                  \
+  noopStepFunc, name ## Name                                               \
+}
+
+
 /*
 ** Register those built-in window functions that are not also aggregates.
 */
 void sqlite3WindowFunctions(void){
   static FuncDef aWindowFuncs[] = {
-    WINDOWFUNC(row_number, 0, 0),
-    WINDOWFUNC(dense_rank, 0, 0),
-    WINDOWFUNC(rank, 0, 0),
-    WINDOWFUNC(percent_rank, 0, SQLITE_FUNC_WINDOW_SIZE),
-    WINDOWFUNC(cume_dist, 0, SQLITE_FUNC_WINDOW_SIZE),
-    WINDOWFUNC(ntile, 1, SQLITE_FUNC_WINDOW_SIZE),
-    WINDOWFUNCF(last_value, 1, 0),
-    WINDOWFUNC(nth_value, 2, 0),
-    WINDOWFUNC(first_value, 1, 0),
-    WINDOWFUNC(lead, 1, 0), WINDOWFUNC(lead, 2, 0), WINDOWFUNC(lead, 3, 0),
-    WINDOWFUNC(lag, 1, 0),  WINDOWFUNC(lag, 2, 0),  WINDOWFUNC(lag, 3, 0),
+    WINDOWFUNCX(row_number, 0, 0),
+    WINDOWFUNCX(dense_rank, 0, 0),
+    WINDOWFUNCX(rank, 0, 0),
+    WINDOWFUNCX(percent_rank, 0, SQLITE_FUNC_WINDOW_SIZE),
+    WINDOWFUNCX(cume_dist, 0, SQLITE_FUNC_WINDOW_SIZE),
+    WINDOWFUNCX(ntile, 1, SQLITE_FUNC_WINDOW_SIZE),
+    WINDOWFUNCALL(last_value, 1, 0),
+    WINDOWFUNCNOOP(nth_value, 2, 0),
+    WINDOWFUNCNOOP(first_value, 1, 0),
+    WINDOWFUNCNOOP(lead, 1, 0),
+    WINDOWFUNCNOOP(lead, 2, 0),
+    WINDOWFUNCNOOP(lead, 3, 0),
+    WINDOWFUNCNOOP(lag, 1, 0),
+    WINDOWFUNCNOOP(lag, 2, 0),
+    WINDOWFUNCNOOP(lag, 3, 0),
   };
   sqlite3InsertBuiltinFuncs(aWindowFuncs, ArraySize(aWindowFuncs));
 }
@@ -544,7 +547,7 @@ void sqlite3WindowUpdate(
           "FILTER clause may only be used with aggregate window functions"
       );
     }else
-    if( pFunc->xSFunc==row_numberStepFunc || pFunc->xSFunc==ntileStepFunc ){
+    if( pFunc->zName==row_numberName || pFunc->zName==ntileName ){
       sqlite3ExprDelete(db, pWin->pStart);
       sqlite3ExprDelete(db, pWin->pEnd);
       pWin->pStart = pWin->pEnd = 0;
@@ -553,8 +556,8 @@ void sqlite3WindowUpdate(
       pWin->eEnd = TK_CURRENT;
     }else
 
-    if( pFunc->xSFunc==dense_rankStepFunc || pFunc->xSFunc==rankStepFunc
-     || pFunc->xSFunc==percent_rankStepFunc || pFunc->xSFunc==cume_distStepFunc
+    if( pFunc->zName==dense_rankName || pFunc->zName==rankName
+     || pFunc->zName==percent_rankName || pFunc->zName==cume_distName
     ){
       sqlite3ExprDelete(db, pWin->pStart);
       sqlite3ExprDelete(db, pWin->pEnd);
@@ -981,7 +984,7 @@ void sqlite3WindowCodeInit(Parse *pParse, Window *pMWin){
       sqlite3VdbeAppendP4(v, pKeyInfo, P4_KEYINFO);
       sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
     }
-    else if( p->xSFunc==nth_valueStepFunc || p->xSFunc==first_valueStepFunc ){
+    else if( p->zName==nth_valueName || p->zName==first_valueName ){
       /* Allocate two registers at pWin->regApp. These will be used to
       ** store the start and end index of the current frame.  */
       assert( pMWin->iEphCsr );
@@ -990,7 +993,7 @@ void sqlite3WindowCodeInit(Parse *pParse, Window *pMWin){
       pParse->nMem += 2;
       sqlite3VdbeAddOp2(v, OP_OpenDup, pWin->csrApp, pMWin->iEphCsr);
     }
-    else if( p->xSFunc==leadStepFunc || p->xSFunc==lagStepFunc ){
+    else if( p->zName==leadName || p->zName==lagName ){
       assert( pMWin->iEphCsr );
       pWin->csrApp = pParse->nTab++;
       sqlite3VdbeAddOp2(v, OP_OpenDup, pWin->csrApp, pMWin->iEphCsr);
@@ -1101,13 +1104,13 @@ static void windowAggStep(
       }
       sqlite3VdbeJumpHere(v, addrIsNull);
     }else if( pWin->regApp ){
-      assert( pWin->pFunc->xSFunc==nth_valueStepFunc 
-           || pWin->pFunc->xSFunc==first_valueStepFunc 
+      assert( pWin->pFunc->zName==nth_valueName
+           || pWin->pFunc->zName==first_valueName
       );
       assert( bInverse==0 || bInverse==1 );
       sqlite3VdbeAddOp2(v, OP_AddImm, pWin->regApp+1-bInverse, 1);
-    }else if( pWin->pFunc->xSFunc==leadStepFunc 
-           || pWin->pFunc->xSFunc==lagStepFunc 
+    }else if( pWin->pFunc->zName==leadName
+           || pWin->pFunc->zName==lagName
     ){
       /* no-op */
     }else{
@@ -1263,15 +1266,15 @@ static void windowReturnOneRow(
   Window *pWin;
   for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
     FuncDef *pFunc = pWin->pFunc;
-    if( pFunc->xSFunc==nth_valueStepFunc 
-     || pFunc->xSFunc==first_valueStepFunc 
+    if( pFunc->zName==nth_valueName
+     || pFunc->zName==first_valueName
     ){
       int csr = pWin->csrApp;
       int lbl = sqlite3VdbeMakeLabel(v);
       int tmpReg = sqlite3GetTempReg(pParse);
       sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regResult);
 
-      if( pFunc->xSFunc==nth_valueStepFunc ){
+      if( pFunc->zName==nth_valueName ){
         sqlite3VdbeAddOp3(v, OP_Column, pMWin->iEphCsr, pWin->iArgCol+1,tmpReg);
       }else{
         sqlite3VdbeAddOp2(v, OP_Integer, 1, tmpReg);
@@ -1285,7 +1288,7 @@ static void windowReturnOneRow(
       sqlite3VdbeResolveLabel(v, lbl);
       sqlite3ReleaseTempReg(pParse, tmpReg);
     }
-    else if( pFunc->xSFunc==leadStepFunc || pFunc->xSFunc==lagStepFunc ){
+    else if( pFunc->zName==leadName || pFunc->zName==lagName ){
       int nArg = pWin->pOwner->x.pList->nExpr;
       int iEph = pMWin->iEphCsr;
       int csr = pWin->csrApp;
@@ -1299,10 +1302,10 @@ static void windowReturnOneRow(
       }
       sqlite3VdbeAddOp2(v, OP_Rowid, iEph, tmpReg);
       if( nArg<2 ){
-        int val = (pFunc->xSFunc==leadStepFunc ? 1 : -1);
+        int val = (pFunc->zName==leadName ? 1 : -1);
         sqlite3VdbeAddOp2(v, OP_AddImm, tmpReg, val);
       }else{
-        int op = (pFunc->xSFunc==leadStepFunc ? OP_Add : OP_Subtract);
+        int op = (pFunc->zName==leadName ? OP_Add : OP_Subtract);
         int tmpReg2 = sqlite3GetTempReg(pParse);
         sqlite3VdbeAddOp3(v, OP_Column, iEph, pWin->iArgCol+1, tmpReg2);
         sqlite3VdbeAddOp3(v, op, tmpReg2, tmpReg, tmpReg);
@@ -1373,8 +1376,8 @@ static int windowInitAccum(Parse *pParse, Window *pMWin){
     FuncDef *pFunc = pWin->pFunc;
     sqlite3VdbeAddOp2(v, OP_Null, 0, pWin->regAccum);
     nArg = MAX(nArg, windowArgCount(pWin));
-    if( pFunc->xSFunc==nth_valueStepFunc
-     || pFunc->xSFunc==first_valueStepFunc 
+    if( pFunc->zName==nth_valueName
+     || pFunc->zName==first_valueName
     ){
       sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp);
       sqlite3VdbeAddOp2(v, OP_Integer, 0, pWin->regApp+1);
@@ -2160,10 +2163,10 @@ void sqlite3WindowCodeStep(
       for(pWin=pMWin; pWin; pWin=pWin->pNextWin){
         FuncDef *pFunc = pWin->pFunc;
         if( (pFunc->funcFlags & SQLITE_FUNC_WINDOW_SIZE)
-         || (pFunc->xSFunc==nth_valueStepFunc)
-         || (pFunc->xSFunc==first_valueStepFunc)
-         || (pFunc->xSFunc==leadStepFunc)
-         || (pFunc->xSFunc==lagStepFunc)
+         || (pFunc->zName==nth_valueName)
+         || (pFunc->zName==first_valueName)
+         || (pFunc->zName==leadName)
+         || (pFunc->zName==lagName)
         ){
           bCache = 1;
           break;

From 8ff21f47f02d60e4703b6003467b878a4d9f0a7d Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 9 Jul 2018 02:02:09 +0000
Subject: [PATCH 139/154] During WITHOUT ROWID table creation, if the
 sqlite3CreateTable() call fails due to an authorizer denying the INSERT into
 the sqlite_master table, then detect this fact and abort the CREATE TABLE
 early, to avoid an assertion fault.

FossilOrigin-Name: 164b1641e346994f0b9f91261c3cbc86b68e1c96cc401b78e48e186e26916abe
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/build.c   |  2 +-
 3 files changed, 8 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 72ccb1dac4..a4b1e62e5b 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Identify\sspecific\sFuncDef\sobjects\sfor\swindow\sfunctions\susing\sthe\spointer\sto\nthe\sfunction\sname\s(FuncDef.zName)\srather\sthan\sthe\spointer\sto\sthe\sxStep\smethod.\nThis\sallows\sxStep\smethod\spointer\sto\sbe\sreplaced\swith\sa\ssingle\snoopStepFunc()\nprocedure,\sand\sthus\ssave\shaving\slots\sof\sdifferent\sno-op\sstep\sfunctions.
-D 2018-07-08T01:02:26.110
+C During\sWITHOUT\sROWID\stable\screation,\sif\sthe\ssqlite3CreateTable()\scall\sfails\ndue\sto\san\sauthorizer\sdenying\sthe\sINSERT\sinto\sthe\ssqlite_master\stable,\sthen\ndetect\sthis\sfact\sand\sabort\sthe\sCREATE\sTABLE\searly,\sto\savoid\san\sassertion\nfault.
+D 2018-07-09T02:02:09.330
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -439,7 +439,7 @@ F src/btmutex.c 8acc2f464ee76324bf13310df5692a262b801808984c1b79defb2503bbafadb6
 F src/btree.c 0c27fb9b4bfd610261e2ac8956090fbf04b607b0d12bc0f1d77b6c5bf3ab3c7d
 F src/btree.h febb2e817be499570b7a2e32a9bbb4b607a9234f6b84bb9ae84916d4806e96f2
 F src/btreeInt.h 620ab4c7235f43572cf3ac2ac8723cbdf68073be4d29da24897c7b77dda5fd96
-F src/build.c 3b3bfa88800739e1f11313dcecfba5ef8e4757b6c929cdf7de9fcfc01002b81f
+F src/build.c 1f0d06978a2b9f32c92aaf46bff00d5770aed96560374e257a25592769833fa2
 F src/callback.c 36caff1e7eb7deb58572d59c41cee8f064a11d00297616995c5050ea0cfc1288
 F src/complete.c a3634ab1e687055cd002e11b8f43eb75c17da23e
 F src/ctime.c 849d4cebe008cfc6e4799b034a172b4eaf8856b100739632a852732ba66eee48
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P a8b13002378fc4ef0b41c367b44b67bf2b28b6624303c087a3c6d657b5bfe32e
-R 8358a593d4ce0687282d59db38a347ed
+P 410e13b0e0fb6e040808f076014d55ecf2b541c5439b4fd53c5bdcb8d800098e
+R 7580721a29f9835b066952065ed520c6
 U drh
-Z 0694fc0bf0c4178f6f522b94761738e7
+Z 1e6f0a4c59931b85bd500573a9df5b2a
diff --git a/manifest.uuid b/manifest.uuid
index cc5c5bf1d4..dd213f1597 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-410e13b0e0fb6e040808f076014d55ecf2b541c5439b4fd53c5bdcb8d800098e
\ No newline at end of file
+164b1641e346994f0b9f91261c3cbc86b68e1c96cc401b78e48e186e26916abe
\ No newline at end of file
diff --git a/src/build.c b/src/build.c
index 44fc4573b2..85024cea63 100644
--- a/src/build.c
+++ b/src/build.c
@@ -1788,7 +1788,7 @@ static void convertToWithoutRowidTable(Parse *pParse, Table *pTab){
     assert( pParse->pNewTable==pTab );
     sqlite3CreateIndex(pParse, 0, 0, 0, pList, pTab->keyConf, 0, 0, 0, 0,
                        SQLITE_IDXTYPE_PRIMARYKEY);
-    if( db->mallocFailed ) return;
+    if( db->mallocFailed || pParse->nErr ) return;
     pPk = sqlite3PrimaryKeyIndex(pTab);
     pTab->iPKey = -1;
   }else{

From 1e80ace47a4407f54a0a36d23e1c1f680a490d48 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 9 Jul 2018 02:37:12 +0000
Subject: [PATCH 140/154] Simplification to the logic that detects misuse of
 the application-defined function creation interfaces.

FossilOrigin-Name: 8f21d778450e1e5d2bc7f109d614fe018eb3d228b0bfc91cd3c6a5204415998f
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/main.c    | 15 ++++++++-------
 3 files changed, 15 insertions(+), 14 deletions(-)

diff --git a/manifest b/manifest
index a4b1e62e5b..757ed6cb85 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C During\sWITHOUT\sROWID\stable\screation,\sif\sthe\ssqlite3CreateTable()\scall\sfails\ndue\sto\san\sauthorizer\sdenying\sthe\sINSERT\sinto\sthe\ssqlite_master\stable,\sthen\ndetect\sthis\sfact\sand\sabort\sthe\sCREATE\sTABLE\searly,\sto\savoid\san\sassertion\nfault.
-D 2018-07-09T02:02:09.330
+C Simplification\sto\sthe\slogic\sthat\sdetects\smisuse\sof\sthe\sapplication-defined\nfunction\screation\sinterfaces.
+D 2018-07-09T02:37:12.305
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -459,7 +459,7 @@ F src/in-operator.md 10cd8f4bcd225a32518407c2fb2484089112fd71
 F src/insert.c bcacf6a0d277f8fa0e4f9ffecda544a2330ca4478f904cd89564c2dd86d0b16b
 F src/legacy.c 134ab3e3fae00a0f67a5187981d6935b24b337bcf0f4b3e5c9fa5763da95bf4e
 F src/loadext.c 6aae5739198d96c51ae6eb97c4a5b1744c22ed7a5a565a5399a717780d48a36b
-F src/main.c 0087639013e4b62ce16a92e4b0cb6127876224fadeea72016396626078dc8736
+F src/main.c f3d3ec74368c97bd6121bfc5c3bad2c6a4e82dbbd967f45dfaa5a2f33c253ca8
 F src/malloc.c 07295435093ce354c6d9063ac05a2eeae28bd251d2e63c48b3d67c12c76f7e18
 F src/mem0.c 6a55ebe57c46ca1a7d98da93aaa07f99f1059645
 F src/mem1.c c12a42539b1ba105e3707d0e628ad70e611040d8f5e38cf942cee30c867083de
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 410e13b0e0fb6e040808f076014d55ecf2b541c5439b4fd53c5bdcb8d800098e
-R 7580721a29f9835b066952065ed520c6
+P 164b1641e346994f0b9f91261c3cbc86b68e1c96cc401b78e48e186e26916abe
+R 5ef1abf7334b1553c130201729c88651
 U drh
-Z 1e6f0a4c59931b85bd500573a9df5b2a
+Z a05977d596ec32f50af0c6fe3387bd66
diff --git a/manifest.uuid b/manifest.uuid
index dd213f1597..980f7470ad 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-164b1641e346994f0b9f91261c3cbc86b68e1c96cc401b78e48e186e26916abe
\ No newline at end of file
+8f21d778450e1e5d2bc7f109d614fe018eb3d228b0bfc91cd3c6a5204415998f
\ No newline at end of file
diff --git a/src/main.c b/src/main.c
index 78a8d61aa3..1a9dc1b84e 100644
--- a/src/main.c
+++ b/src/main.c
@@ -1692,13 +1692,14 @@ int sqlite3CreateFunc(
   int extraFlags;
 
   assert( sqlite3_mutex_held(db->mutex) );
-  if( zFunctionName==0 ||
-      (xSFunc && (xFinal || xStep)) || 
-      (!xSFunc && (xFinal && !xStep)) ||
-      (!xSFunc && (!xFinal && xStep)) ||
-      ((xValue || xInverse) && (!xStep || !xFinal || !xValue || !xInverse)) ||
-      (nArg<-1 || nArg>SQLITE_MAX_FUNCTION_ARG) ||
-      (255<(nName = sqlite3Strlen30( zFunctionName))) ){
+  assert( xValue==0 || xSFunc==0 );
+  if( zFunctionName==0                /* Must have a valid name */
+   || (xSFunc!=0 && xFinal!=0)        /* Not both xSFunc and xFinal */
+   || ((xFinal==0)!=(xStep==0))       /* Both or neither of xFinal and xStep */
+   || ((xValue==0)!=(xInverse==0))    /* Both or neither of xValue, xInverse */
+   || (nArg<-1 || nArg>SQLITE_MAX_FUNCTION_ARG)
+   || (255<(nName = sqlite3Strlen30( zFunctionName)))
+  ){
     return SQLITE_MISUSE_BKPT;
   }
 

From f5e8e31399d957fc9fb6a300a555ff3540ed53a6 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 9 Jul 2018 06:51:36 +0000
Subject: [PATCH 141/154] Fix a bad assert() in window.c.

FossilOrigin-Name: fe8aaf0c806413965f50a03e34b5fdfaaa8b09dc0af73f41e830f7b664bd1ced
---
 manifest          | 16 ++++++++--------
 manifest.uuid     |  2 +-
 src/window.c      |  4 +++-
 test/window6.test |  6 ++++++
 4 files changed, 18 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index 757ed6cb85..db50739a11 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Simplification\sto\sthe\slogic\sthat\sdetects\smisuse\sof\sthe\sapplication-defined\nfunction\screation\sinterfaces.
-D 2018-07-09T02:37:12.305
+C Fix\sa\sbad\sassert()\sin\swindow.c.
+D 2018-07-09T06:51:36.138
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c e42415fb8d1421fd9353872244e8a90f4025cd6a4a215f1603f06735e9be20b6
+F src/window.c fcc7f6febe4f49df2399b09fd4db5418072424085d409bcb4e5e83c94e50c594
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1627,7 +1627,7 @@ F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c
 F test/window4.tcl 9491acccf705d0e0f44177dc20478f978bd0bd4812a6ddd6a350881cc7781876
 F test/window4.test b43a22ad5b748c37925e64c93ed0958ebae1c8d2eca59a79350c22c2e6f609a0
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test d2a243f0bf64cfc964fa55b0425ec74d984321bbe650e47d0d74e8f84aa9b7e9
+F test/window6.test 8370c02744297fcb9214c084779182bb95df1c87709906dccbe2643a0346ccdf
 F test/windowfault.test a44baa1b0bdf339d7792623ad3a6ebe057b1a6d7a7fd7ae880c8b744cfc0dafb
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 164b1641e346994f0b9f91261c3cbc86b68e1c96cc401b78e48e186e26916abe
-R 5ef1abf7334b1553c130201729c88651
-U drh
-Z a05977d596ec32f50af0c6fe3387bd66
+P 8f21d778450e1e5d2bc7f109d614fe018eb3d228b0bfc91cd3c6a5204415998f
+R c99424e74d45d4c034c17713bab90e29
+U dan
+Z 08afb33e1e6d6af7e7e8db9039bcb259
diff --git a/manifest.uuid b/manifest.uuid
index 980f7470ad..0fd521cf4d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-8f21d778450e1e5d2bc7f109d614fe018eb3d228b0bfc91cd3c6a5204415998f
\ No newline at end of file
+fe8aaf0c806413965f50a03e34b5fdfaaa8b09dc0af73f41e830f7b664bd1ced
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 3ff88f79a0..cd09f92ca7 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1117,7 +1117,8 @@ static void windowAggStep(
       int addrIf = 0;
       if( pWin->pFilter ){
         int regTmp;
-        assert( nArg==pWin->pOwner->x.pList->nExpr );
+        assert( nArg==0 || nArg==pWin->pOwner->x.pList->nExpr );
+        assert( nArg || pWin->pOwner->x.pList==0 );
         if( csr>0 ){
           regTmp = sqlite3GetTempReg(pParse);
           sqlite3VdbeAddOp3(v, OP_Column, csr, pWin->iArgCol+nArg,regTmp);
@@ -1132,6 +1133,7 @@ static void windowAggStep(
       }
       if( pWin->pFunc->funcFlags & SQLITE_FUNC_NEEDCOLL ){
         CollSeq *pColl;
+        assert( nArg>0 );
         pColl = sqlite3ExprNNCollSeq(pParse, pWin->pOwner->x.pList->a[0].pExpr);
         sqlite3VdbeAddOp4(v, OP_CollSeq, 0,0,0, (const char*)pColl, P4_COLLSEQ);
       }
diff --git a/test/window6.test b/test/window6.test
index 6d776cbdda..effebea30f 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -276,5 +276,11 @@ do_catchsql_test 9.8.2 {
   ) FROM c;
 } {1 {frame ending offset must be a non-negative integer}}
 
+do_execsql_test 10.0 {
+  WITH t1(a,b) AS (VALUES(1,2))
+  SELECT count() FILTER (where b<>5) OVER w1
+    FROM t1
+    WINDOW w1 AS (ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
+} {1}
 
 finish_test

From a1a7e112fea6a39c5c9fd869a04ed0d9abbb54de Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 9 Jul 2018 13:31:18 +0000
Subject: [PATCH 142/154] Throw an error if the second argument passed to
 nth_value() is not a positive integer.

FossilOrigin-Name: 1a06e57a0b4279fa580c7ff4f152645f005794aaf86eeabf694637b7da11f763
---
 manifest          | 18 +++++++++---------
 manifest.uuid     |  2 +-
 src/window.c      | 25 +++++++++++++++----------
 test/window4.tcl  |  8 ++++++++
 test/window4.test |  8 ++++++++
 test/window6.test | 27 +++++++++++++++++++++++++++
 6 files changed, 68 insertions(+), 20 deletions(-)

diff --git a/manifest b/manifest
index db50739a11..16d44b2759 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fix\sa\sbad\sassert()\sin\swindow.c.
-D 2018-07-09T06:51:36.138
+C Throw\san\serror\sif\sthe\ssecond\sargument\spassed\sto\snth_value()\sis\snot\sa\spositive\ninteger.
+D 2018-07-09T13:31:18.482
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c fcc7f6febe4f49df2399b09fd4db5418072424085d409bcb4e5e83c94e50c594
+F src/window.c a3f2de2ff893e0f972d0fbc5addc5a5ab97ab900946001ce652aaded9e15eb65
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1624,10 +1624,10 @@ F test/window2.tcl 9bfa842d8a62b0d36dc8c1b5972206393c43847433c6d75940b87fec93ce3
 F test/window2.test 8e6d2a1b9f54dfebee1cde961c8590cd87b4db45c50f44947a211e1b63c2a05e
 F test/window3.tcl 577a3b1ff913208e5248c04dab9df17fd760ce159a752789e26d0cb4a5f91823
 F test/window3.test 87fb18021903fc4d1659b8b2092aea55d611a9606cfa7272686234e5197c4b31
-F test/window4.tcl 9491acccf705d0e0f44177dc20478f978bd0bd4812a6ddd6a350881cc7781876
-F test/window4.test b43a22ad5b748c37925e64c93ed0958ebae1c8d2eca59a79350c22c2e6f609a0
+F test/window4.tcl 871364059b7d320d556ec6ef804d604a4e8cc1547a3102c5d56067371bb200af
+F test/window4.test 323b118eb592932036388643ca6dcaead87f699bbea2984bbca49ba4ad6c2509
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
-F test/window6.test 8370c02744297fcb9214c084779182bb95df1c87709906dccbe2643a0346ccdf
+F test/window6.test 63a7176e01aef5cc202563bbd754a88131404bf1aa455d7232f29a4740e3ddde
 F test/windowfault.test a44baa1b0bdf339d7792623ad3a6ebe057b1a6d7a7fd7ae880c8b744cfc0dafb
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 8f21d778450e1e5d2bc7f109d614fe018eb3d228b0bfc91cd3c6a5204415998f
-R c99424e74d45d4c034c17713bab90e29
+P fe8aaf0c806413965f50a03e34b5fdfaaa8b09dc0af73f41e830f7b664bd1ced
+R 36a1b3786e652c733a23427414a09e4c
 U dan
-Z 08afb33e1e6d6af7e7e8db9039bcb259
+Z fa36ac2705a3a1bf25d5a3791daaa70e
diff --git a/manifest.uuid b/manifest.uuid
index 0fd521cf4d..0803b15bf1 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-fe8aaf0c806413965f50a03e34b5fdfaaa8b09dc0af73f41e830f7b664bd1ced
\ No newline at end of file
+1a06e57a0b4279fa580c7ff4f152645f005794aaf86eeabf694637b7da11f763
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index cd09f92ca7..816ccc2b06 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1002,25 +1002,29 @@ void sqlite3WindowCodeInit(Parse *pParse, Window *pMWin){
 }
 
 /*
-** A "PRECEDING <expr>" (bEnd==0) or "FOLLOWING <expr>" (bEnd==1) has just 
-** been evaluated and the result left in register reg. This function generates
-** VM code to check that the value is a non-negative integer and throws
-** an exception if it is not.
+** A "PRECEDING <expr>" (eCond==0) or "FOLLOWING <expr>" (eCond==1) or the
+** value of the second argument to nth_value() (eCond==2) has just been
+** evaluated and the result left in register reg. This function generates VM
+** code to check that the value is a non-negative integer and throws an
+** exception if it is not.
 */
-static void windowCheckFrameOffset(Parse *pParse, int reg, int bEnd){
+static void windowCheckIntValue(Parse *pParse, int reg, int eCond){
   static const char *azErr[] = {
     "frame starting offset must be a non-negative integer",
-    "frame ending offset must be a non-negative integer"
+    "frame ending offset must be a non-negative integer",
+    "second argument to nth_value must be a positive integer"
   };
+  static int aOp[] = { OP_Ge, OP_Ge, OP_Gt };
   Vdbe *v = sqlite3GetVdbe(pParse);
   int regZero = sqlite3GetTempReg(pParse);
+  assert( eCond==0 || eCond==1 || eCond==2 );
   sqlite3VdbeAddOp2(v, OP_Integer, 0, regZero);
   sqlite3VdbeAddOp2(v, OP_MustBeInt, reg, sqlite3VdbeCurrentAddr(v)+2);
   VdbeCoverage(v);
-  sqlite3VdbeAddOp3(v, OP_Ge, regZero, sqlite3VdbeCurrentAddr(v)+2, reg);
+  sqlite3VdbeAddOp3(v, aOp[eCond], regZero, sqlite3VdbeCurrentAddr(v)+2, reg);
   VdbeCoverage(v);
   sqlite3VdbeAddOp2(v, OP_Halt, SQLITE_ERROR, OE_Abort);
-  sqlite3VdbeAppendP4(v, (void*)azErr[bEnd], P4_STATIC);
+  sqlite3VdbeAppendP4(v, (void*)azErr[eCond], P4_STATIC);
   sqlite3ReleaseTempReg(pParse, regZero);
 }
 
@@ -1278,6 +1282,7 @@ static void windowReturnOneRow(
 
       if( pFunc->zName==nth_valueName ){
         sqlite3VdbeAddOp3(v, OP_Column, pMWin->iEphCsr, pWin->iArgCol+1,tmpReg);
+        windowCheckIntValue(pParse, tmpReg, 2);
       }else{
         sqlite3VdbeAddOp2(v, OP_Integer, 1, tmpReg);
       }
@@ -1576,11 +1581,11 @@ static void windowCodeRowExprStep(
   ** an exception.  */
   if( pMWin->pStart ){
     sqlite3ExprCode(pParse, pMWin->pStart, regStart);
-    windowCheckFrameOffset(pParse, regStart, 0);
+    windowCheckIntValue(pParse, regStart, 0);
   }
   if( pMWin->pEnd ){
     sqlite3ExprCode(pParse, pMWin->pEnd, regEnd);
-    windowCheckFrameOffset(pParse, regEnd, 1);
+    windowCheckIntValue(pParse, regEnd, 1);
   }
 
   /* If this is "ROWS <expr1> FOLLOWING AND ROWS <expr2> FOLLOWING", do:
diff --git a/test/window4.tcl b/test/window4.tcl
index 011671b66d..ea36735a09 100644
--- a/test/window4.tcl
+++ b/test/window4.tcl
@@ -351,6 +351,14 @@ execsql_test 10.1 {
   SELECT id, min(b) OVER (PARTITION BY a ORDER BY id) FROM t7;
 }
 
+execsql_test 10.2 {
+  SELECT id, lead(b, -1) OVER (PARTITION BY a ORDER BY id) FROM t7;
+}
+execsql_test 10.3 {
+  SELECT id, lag(b, -1) OVER (PARTITION BY a ORDER BY id) FROM t7;
+}
+
+
 
 finish_test
 
diff --git a/test/window4.test b/test/window4.test
index d8026fed8b..1933a32d09 100644
--- a/test/window4.test
+++ b/test/window4.test
@@ -1261,4 +1261,12 @@ do_execsql_test 10.1 {
   SELECT id, min(b) OVER (PARTITION BY a ORDER BY id) FROM t7;
 } {1 2   2 2   3 2   4 {}   5 8   6 1}
 
+do_execsql_test 10.2 {
+  SELECT id, lead(b, -1) OVER (PARTITION BY a ORDER BY id) FROM t7;
+} {1 {}   2 2   3 {}   4 {}   5 {}   6 8}
+
+do_execsql_test 10.3 {
+  SELECT id, lag(b, -1) OVER (PARTITION BY a ORDER BY id) FROM t7;
+} {1 {}   2 4   3 {}   4 8   5 1   6 {}}
+
 finish_test
diff --git a/test/window6.test b/test/window6.test
index effebea30f..1f2294e10a 100644
--- a/test/window6.test
+++ b/test/window6.test
@@ -283,4 +283,31 @@ do_execsql_test 10.0 {
     WINDOW w1 AS (ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING);
 } {1}
 
+foreach {tn stmt} {
+  1 "SELECT nth_value(b, 0) OVER (ORDER BY a) FROM t1"
+  2 "SELECT nth_value(b, -1) OVER (ORDER BY a) FROM t1"
+  3 "SELECT nth_value(b, '4ab') OVER (ORDER BY a) FROM t1"
+  4 "SELECT nth_value(b, NULL) OVER (ORDER BY a) FROM t1"
+  5 "SELECT nth_value(b, 8.5) OVER (ORDER BY a) FROM t1"
+} {
+  do_catchsql_test 10.1.$tn "
+    WITH t1(a,b) AS ( VALUES(1, 2), (2, 3), (3, 4) )
+    $stmt
+  " {1 {second argument to nth_value must be a positive integer}}
+}
+
+foreach {tn stmt res} {
+  1 "SELECT nth_value(b, 1) OVER (ORDER BY a) FROM t1"         {2 2 2}
+  2 "SELECT nth_value(b, 2) OVER (ORDER BY a) FROM t1"         {{} 3 3}
+  3 "SELECT nth_value(b, '2') OVER (ORDER BY a) FROM t1"       {{} 3 3}
+  4 "SELECT nth_value(b, 2.0) OVER (ORDER BY a) FROM t1"       {{} 3 3}
+  5 "SELECT nth_value(b, '2.0') OVER (ORDER BY a) FROM t1"     {{} 3 3}
+  6 "SELECT nth_value(b, 10000000) OVER (ORDER BY a) FROM t1"  {{} {} {}}
+} {
+  do_execsql_test 10.2.$tn "
+    WITH t1(a,b) AS ( VALUES(1, 2), (2, 3), (3, 4) )
+    $stmt
+  " $res
+}
+
 finish_test

From a57aac262f98e3fff23b35e0d60bbff83d565161 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 9 Jul 2018 16:24:00 +0000
Subject: [PATCH 143/154] Simplification to the grammar rules for window
 functions.  Fix a memory leak that can follow an OOM while parsing a
 comma-separated list of window definitions.

FossilOrigin-Name: a568f9c9db594f3b194c6e870305c9d6f2392ce6bc8ac00e9688883e97560fff
---
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 src/parse.y   | 38 ++++++++++++++++++--------------------
 3 files changed, 26 insertions(+), 28 deletions(-)

diff --git a/manifest b/manifest
index 16d44b2759..fe17540e27 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Throw\san\serror\sif\sthe\ssecond\sargument\spassed\sto\snth_value()\sis\snot\sa\spositive\ninteger.
-D 2018-07-09T13:31:18.482
+C Simplification\sto\sthe\sgrammar\srules\sfor\swindow\sfunctions.\s\sFix\sa\smemory\nleak\sthat\scan\sfollow\san\sOOM\swhile\sparsing\sa\scomma-separated\slist\sof\nwindow\sdefinitions.
+D 2018-07-09T16:24:00.700
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y 5bd226187d991bc2fccd3c0f36de40b2230b397903893028b4e9e39811b027b2
+F src/parse.y a7e0fb377d6ef98245cd4adc0b19f5d9216b65a090f29d1974c4feec95b1810b
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P fe8aaf0c806413965f50a03e34b5fdfaaa8b09dc0af73f41e830f7b664bd1ced
-R 36a1b3786e652c733a23427414a09e4c
-U dan
-Z fa36ac2705a3a1bf25d5a3791daaa70e
+P 1a06e57a0b4279fa580c7ff4f152645f005794aaf86eeabf694637b7da11f763
+R 68b331bbe992415b47d75f345acd25ff
+U drh
+Z 9b6563bb4ca3160cec686f0fd2ef1fbc
diff --git a/manifest.uuid b/manifest.uuid
index 0803b15bf1..9cc1b0d9e1 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-1a06e57a0b4279fa580c7ff4f152645f005794aaf86eeabf694637b7da11f763
\ No newline at end of file
+a568f9c9db594f3b194c6e870305c9d6f2392ce6bc8ac00e9688883e97560fff
\ No newline at end of file
diff --git a/src/parse.y b/src/parse.y
index 714c0b5012..0cfba1b3e6 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -1605,17 +1605,18 @@ wqlist(A) ::= wqlist(A) COMMA nm(X) eidlist_opt(Y) AS LP select(Z) RP. {
 //
 %ifndef SQLITE_OMIT_WINDOWFUNC
 %type windowdefn_list {Window*}
-%destructor windowdefn_list {sqlite3WindowDelete(pParse->db, $$);}
+%destructor windowdefn_list {sqlite3WindowListDelete(pParse->db, $$);}
 windowdefn_list(A) ::= windowdefn(Z). { A = Z; }
 windowdefn_list(A) ::= windowdefn_list(Y) COMMA windowdefn(Z). {
-  if( Z ) Z->pNextWin = Y;
+  assert( Z!=0 );
+  Z->pNextWin = Y;
   A = Z;
 }
 
 %type windowdefn {Window*}
 %destructor windowdefn {sqlite3WindowDelete(pParse->db, $$);}
 windowdefn(A) ::= nm(X) AS window(Y). {
-  if( Y ){
+  if( ALWAYS(Y) ){
     Y->zName = sqlite3DbStrNDup(pParse->db, X.z, X.n);
   }
   A = Y;
@@ -1627,10 +1628,6 @@ windowdefn(A) ::= nm(X) AS window(Y). {
 %type frame_opt {Window*}
 %destructor frame_opt {sqlite3WindowDelete(pParse->db, $$);}
 
-%type window_or_nm {Window*}
-%destructor window_or_nm {
-sqlite3WindowDelete(pParse->db, $$);}
-
 %type part_opt {ExprList*}
 %destructor part_opt {sqlite3ExprListDelete(pParse->db, $$);}
 
@@ -1646,17 +1643,9 @@ sqlite3WindowDelete(pParse->db, $$);}
 %type frame_bound_e {struct FrameBound}
 %destructor frame_bound_e {sqlite3ExprDelete(pParse->db, $$.pExpr);}
 
-window_or_nm(A) ::= window(Z). {A = Z;}
-window_or_nm(A) ::= nm(Z). {
-  A = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
-  if( A ){
-    A->zName = sqlite3DbStrNDup(pParse->db, Z.z, Z.n);
-  }
-}
-
 window(A) ::= LP part_opt(X) orderby_opt(Y) frame_opt(Z) RP. {
   A = Z;
-  if( A ){
+  if( ALWAYS(A) ){
     A->pPartition = X;
     A->pOrderBy = Y;
   }
@@ -1689,19 +1678,28 @@ frame_bound(A) ::= CURRENT ROW.         { A.eType = TK_CURRENT  ; A.pExpr = 0; }
 frame_bound(A) ::= expr(X) FOLLOWING.   { A.eType = TK_FOLLOWING; A.pExpr = X; }
 
 %type windowdefn_opt {Window*}
-%destructor windowdefn_opt {sqlite3WindowDelete(pParse->db, $$);}
+%destructor windowdefn_opt {sqlite3WindowListDelete(pParse->db, $$);}
 windowdefn_opt(A) ::= . { A = 0; }
 windowdefn_opt(A) ::= WINDOW windowdefn_list(B). { A = B; }
 
 %type over_opt {Window*}
 %destructor over_opt {sqlite3WindowDelete(pParse->db, $$);}
 over_opt(A) ::= . { A = 0; }
-over_opt(A) ::= filter_opt(W) OVER window_or_nm(Z). {
+over_opt(A) ::= filter_opt(W) OVER window(Z). {
   A = Z;
-  if( A ) A->pFilter = W;
+  assert( A!=0 );
+  A->pFilter = W;
+}
+over_opt(A) ::= filter_opt(W) OVER nm(Z). {
+  A = (Window*)sqlite3DbMallocZero(pParse->db, sizeof(Window));
+  if( A ){
+    A->zName = sqlite3DbStrNDup(pParse->db, Z.z, Z.n);
+    A->pFilter = W;
+  }else{
+    sqlite3ExprDelete(pParse->db, W);
+  }
 }
 
 filter_opt(A) ::= .                            { A = 0; }
 filter_opt(A) ::= FILTER LP WHERE expr(X) RP.  { A = X; }
 %endif // SQLITE_OMIT_WINDOWFUNC
-

From 7999cc434ee15f9bee3d0edd86f2731ac20caab0 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 9 Jul 2018 17:33:24 +0000
Subject: [PATCH 144/154] Remove redundant branches in window function
 processing.

FossilOrigin-Name: 8fdaf3f37e5ddac9b7337a50f32f5d2bcdd64780797f08cfd3fccfa95819edfe
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/window.c  |  6 ++++--
 3 files changed, 11 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index fe17540e27..8f6a1df8ab 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Simplification\sto\sthe\sgrammar\srules\sfor\swindow\sfunctions.\s\sFix\sa\smemory\nleak\sthat\scan\sfollow\san\sOOM\swhile\sparsing\sa\scomma-separated\slist\sof\nwindow\sdefinitions.
-D 2018-07-09T16:24:00.700
+C Remove\sredundant\sbranches\sin\swindow\sfunction\sprocessing.
+D 2018-07-09T17:33:24.008
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c a3f2de2ff893e0f972d0fbc5addc5a5ab97ab900946001ce652aaded9e15eb65
+F src/window.c 0d5d4bcddd2dacc75eeb191435cdf6b202859ab4e00da60b49473ecf82b310da
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 1a06e57a0b4279fa580c7ff4f152645f005794aaf86eeabf694637b7da11f763
-R 68b331bbe992415b47d75f345acd25ff
+P a568f9c9db594f3b194c6e870305c9d6f2392ce6bc8ac00e9688883e97560fff
+R 55bae4604c5513fb06a00809b7cc10a6
 U drh
-Z 9b6563bb4ca3160cec686f0fd2ef1fbc
+Z b302b6013a3d58ac4dd777d20fb83c53
diff --git a/manifest.uuid b/manifest.uuid
index 9cc1b0d9e1..c50aedcdef 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-a568f9c9db594f3b194c6e870305c9d6f2392ce6bc8ac00e9688883e97560fff
\ No newline at end of file
+8fdaf3f37e5ddac9b7337a50f32f5d2bcdd64780797f08cfd3fccfa95819edfe
\ No newline at end of file
diff --git a/src/window.c b/src/window.c
index 816ccc2b06..7a3831f978 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1596,7 +1596,8 @@ static void windowCodeRowExprStep(
   **   }
   **   regEnd = regEnd - regStart;
   */
-  if( pMWin->pEnd && pMWin->pStart && pMWin->eStart==TK_FOLLOWING ){
+  if( pMWin->pEnd && pMWin->eStart==TK_FOLLOWING ){
+    assert( pMWin->pStart!=0 );
     assert( pMWin->eEnd==TK_FOLLOWING );
     sqlite3VdbeAddOp3(v, OP_Ge, regStart, sqlite3VdbeCurrentAddr(v)+2, regEnd);
     VdbeCoverage(v);
@@ -1604,7 +1605,8 @@ static void windowCodeRowExprStep(
     sqlite3VdbeAddOp3(v, OP_Subtract, regStart, regEnd, regEnd);
   }
 
-  if( pMWin->pEnd && pMWin->pStart && pMWin->eEnd==TK_PRECEDING ){
+  if( pMWin->pStart && pMWin->eEnd==TK_PRECEDING ){
+    assert( pMWin->pEnd!=0 );
     assert( pMWin->eStart==TK_PRECEDING );
     sqlite3VdbeAddOp3(v, OP_Le, regStart, sqlite3VdbeCurrentAddr(v)+3, regEnd);
     VdbeCoverage(v);

From e6fcd1d5de078499793326887bd0c237abf637e6 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 9 Jul 2018 18:11:52 +0000
Subject: [PATCH 145/154] Add a couple of OOM tests.

FossilOrigin-Name: 50de2a0d2d96b6b5b8de7ac6277d60859a8d9a56f6a792950734386bb9f10b79
---
 manifest              | 14 +++++++-------
 manifest.uuid         |  2 +-
 test/windowfault.test | 23 +++++++++++++++++++++++
 3 files changed, 31 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 8f6a1df8ab..d7aedbb407 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Remove\sredundant\sbranches\sin\swindow\sfunction\sprocessing.
-D 2018-07-09T17:33:24.008
+C Add\sa\scouple\sof\sOOM\stests.
+D 2018-07-09T18:11:52.197
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -1628,7 +1628,7 @@ F test/window4.tcl 871364059b7d320d556ec6ef804d604a4e8cc1547a3102c5d56067371bb20
 F test/window4.test 323b118eb592932036388643ca6dcaead87f699bbea2984bbca49ba4ad6c2509
 F test/window5.test 8187f46597c90b73e8f96659e893353cbda337479cc582f7a488eab351ba08d3
 F test/window6.test 63a7176e01aef5cc202563bbd754a88131404bf1aa455d7232f29a4740e3ddde
-F test/windowfault.test a44baa1b0bdf339d7792623ad3a6ebe057b1a6d7a7fd7ae880c8b744cfc0dafb
+F test/windowfault.test 23abad97b72c6f609002255ddd41ef5c8922408f918f9b98ad6005ab316e482f
 F test/with1.test 58475190cd8caaeebea8cfeb2a264ec97a0c492b8ffe9ad20cefbb23df462f96
 F test/with2.test e0030e2f0267a910d6c0e4f46f2dfe941c1cc0d4f659ba69b3597728e7e8f1ab
 F test/with3.test 5e8ce2c585170bbbc0544e2a01a4941fa0be173ba5265e5c92eb588cd99a232d
@@ -1745,7 +1745,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P a568f9c9db594f3b194c6e870305c9d6f2392ce6bc8ac00e9688883e97560fff
-R 55bae4604c5513fb06a00809b7cc10a6
-U drh
-Z b302b6013a3d58ac4dd777d20fb83c53
+P 8fdaf3f37e5ddac9b7337a50f32f5d2bcdd64780797f08cfd3fccfa95819edfe
+R 348d3c2a796f11e9680e7516dfc49047
+U dan
+Z 50043a55d41d03ee3d59e79822528993
diff --git a/manifest.uuid b/manifest.uuid
index c50aedcdef..7e529c1193 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-8fdaf3f37e5ddac9b7337a50f32f5d2bcdd64780797f08cfd3fccfa95819edfe
\ No newline at end of file
+50de2a0d2d96b6b5b8de7ac6277d60859a8d9a56f6a792950734386bb9f10b79
\ No newline at end of file
diff --git a/test/windowfault.test b/test/windowfault.test
index 6b684fa71c..e08d994166 100644
--- a/test/windowfault.test
+++ b/test/windowfault.test
@@ -139,5 +139,28 @@ do_faultsim_test 6 -faults oom-* -prep {
   faultsim_test_result {0 {0.0 1.0 0.0 1.0 0.0 1.0}}
 }
 
+do_faultsim_test 7 -faults oom-* -prep {
+  faultsim_restore_and_reopen
+} -body {
+  execsql {
+    SELECT percent_rank() OVER (), cume_dist() OVER () FROM t1
+  }
+} -test {
+  faultsim_test_result {0 {0.0 1.0 0.0 1.0 0.0 1.0}}
+}
+
+do_faultsim_test 8 -faults oom-t* -prep {
+  faultsim_restore_and_reopen
+} -body {
+  execsql {
+    SELECT a, sum(b) OVER win1 FROM t1
+      WINDOW win1 AS (PARTITION BY a ),
+             win2 AS (PARTITION BY b )
+    ORDER BY a;
+  }
+} -test {
+  faultsim_test_result {0 {1 2 5 6 9 10}}
+}
+
 finish_test
 

From 77f3f402921986383b2ff928d4c3471c1d5ca886 Mon Sep 17 00:00:00 2001
From: dan <dan@noemail.net>
Date: Mon, 9 Jul 2018 18:55:44 +0000
Subject: [PATCH 146/154] Avoid leaving view-definitions with an incomplete set
 of column names/types in the in-memory schema if an OOM strikes while
 allocating the same.

FossilOrigin-Name: 1ddbb5372e7ea8407369b88698b3fb922b62dcac72be633a17bd0e41baa369f4
---
 manifest              | 13 +++++++------
 manifest.uuid         |  2 +-
 src/build.c           |  5 +++++
 test/schemafault.test | 31 +++++++++++++++++++++++++++++++
 4 files changed, 44 insertions(+), 7 deletions(-)
 create mode 100644 test/schemafault.test

diff --git a/manifest b/manifest
index d7aedbb407..996d428a3c 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\sa\scouple\sof\sOOM\stests.
-D 2018-07-09T18:11:52.197
+C Avoid\sleaving\sview-definitions\swith\san\sincomplete\sset\sof\scolumn\snames/types\sin\nthe\sin-memory\sschema\sif\san\sOOM\sstrikes\swhile\sallocating\sthe\ssame.
+D 2018-07-09T18:55:44.491
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -439,7 +439,7 @@ F src/btmutex.c 8acc2f464ee76324bf13310df5692a262b801808984c1b79defb2503bbafadb6
 F src/btree.c 0c27fb9b4bfd610261e2ac8956090fbf04b607b0d12bc0f1d77b6c5bf3ab3c7d
 F src/btree.h febb2e817be499570b7a2e32a9bbb4b607a9234f6b84bb9ae84916d4806e96f2
 F src/btreeInt.h 620ab4c7235f43572cf3ac2ac8723cbdf68073be4d29da24897c7b77dda5fd96
-F src/build.c 1f0d06978a2b9f32c92aaf46bff00d5770aed96560374e257a25592769833fa2
+F src/build.c d8f6ac1e9e484eb3f3921a8336d3dc6c87273d9db8729702162ef045997a1463
 F src/callback.c 36caff1e7eb7deb58572d59c41cee8f064a11d00297616995c5050ea0cfc1288
 F src/complete.c a3634ab1e687055cd002e11b8f43eb75c17da23e
 F src/ctime.c 849d4cebe008cfc6e4799b034a172b4eaf8856b100739632a852732ba66eee48
@@ -1211,6 +1211,7 @@ F test/schema3.test 1bc1008e1f8cb5654b248c55f27249366eb7ed38
 F test/schema4.test 3b26c9fa916abb6dadf894137adcf41b7796f7b9
 F test/schema5.test 29699b4421f183c8f0e88bd28ce7d75d13ea653e
 F test/schema6.test e4bd1f23d368695eb9e7b51ef6e02ca0642ea2ab4a52579959826b5e7dce1f9b
+F test/schemafault.test 1936bceca55ac82c5efbcc9fc91a1933e45c8d1e1d106b9a7e56c972a5a2a51e
 F test/securedel.test 2f70b2449186a1921bd01ec9da407fbfa98c3a7a5521854c300c194b2ff09384
 F test/securedel2.test 2d54c28e46eb1fd6902089958b20b1b056c6f1c5
 F test/select1.test 2e760bab8f3658b3b97debcf52860d0d2e20aa6cbe8b40e678ddb99871a15491
@@ -1745,7 +1746,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 8fdaf3f37e5ddac9b7337a50f32f5d2bcdd64780797f08cfd3fccfa95819edfe
-R 348d3c2a796f11e9680e7516dfc49047
+P 50de2a0d2d96b6b5b8de7ac6277d60859a8d9a56f6a792950734386bb9f10b79
+R 7606975cd5d0fe66f1e471238e1161bc
 U dan
-Z 50043a55d41d03ee3d59e79822528993
+Z 6456109cb43b1ee3a3c96b1c08ab8aa9
diff --git a/manifest.uuid b/manifest.uuid
index 7e529c1193..88877576c1 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-50de2a0d2d96b6b5b8de7ac6277d60859a8d9a56f6a792950734386bb9f10b79
\ No newline at end of file
+1ddbb5372e7ea8407369b88698b3fb922b62dcac72be633a17bd0e41baa369f4
\ No newline at end of file
diff --git a/src/build.c b/src/build.c
index 85024cea63..6b761da02a 100644
--- a/src/build.c
+++ b/src/build.c
@@ -2319,6 +2319,11 @@ int sqlite3ViewGetColumnNames(Parse *pParse, Table *pTable){
     nErr++;
   }
   pTable->pSchema->schemaFlags |= DB_UnresetViews;
+  if( db->mallocFailed ){
+    sqlite3DeleteColumnNames(db, pTable);
+    pTable->aCol = 0;
+    pTable->nCol = 0;
+  }
 #endif /* SQLITE_OMIT_VIEW */
   return nErr;  
 }
diff --git a/test/schemafault.test b/test/schemafault.test
new file mode 100644
index 0000000000..a04c78a0b4
--- /dev/null
+++ b/test/schemafault.test
@@ -0,0 +1,31 @@
+# 2018-08-19
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+# Test OOM injection in schema-related operations.
+#
+
+set testdir [file dirname $argv0]
+source $testdir/tester.tcl
+source $testdir/malloc_common.tcl
+set testprefix schemafault
+
+do_execsql_test 1.0 {
+  CREATE TABLE t2(aaa INTTT);
+  CREATE VIEW v2(xxx , yyy) AS SELECT aaa, aaa+1 FROM t2;
+}
+
+do_faultsim_test 1 -faults oom-* -prep {
+} -body {
+  execsql { SELECT * FROM v2 }
+} -test {
+  faultsim_test_result {0 {}}
+}
+
+finish_test

From f710345303a86e0afa3335b0ae4d88ee457c41cd Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 9 Jul 2018 20:41:39 +0000
Subject: [PATCH 147/154] Add an ALWAYS() around a branch in
 sqlite3BtreeSkipNext() that we believe must always be true.

FossilOrigin-Name: 12be361a532df0c22a7e4d97658b82a69b1a205d4cca8d092b9e6b7790c1ee40
---
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 src/btree.c   |  5 ++++-
 3 files changed, 12 insertions(+), 9 deletions(-)

diff --git a/manifest b/manifest
index 996d428a3c..3c2eca2e5d 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Avoid\sleaving\sview-definitions\swith\san\sincomplete\sset\sof\scolumn\snames/types\sin\nthe\sin-memory\sschema\sif\san\sOOM\sstrikes\swhile\sallocating\sthe\ssame.
-D 2018-07-09T18:55:44.491
+C Add\san\sALWAYS()\saround\sa\sbranch\sin\ssqlite3BtreeSkipNext()\sthat\swe\sbelieve\nmust\salways\sbe\strue.
+D 2018-07-09T20:41:39.352
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -436,7 +436,7 @@ F src/auth.c a38f3c63c974787ecf75e3213f8cac6568b9a7af7591fb0372ec0517dd16dca8
 F src/backup.c 78d3cecfbe28230a3a9a1793e2ead609f469be43e8f486ca996006be551857ab
 F src/bitvec.c 17ea48eff8ba979f1f5b04cc484c7bb2be632f33
 F src/btmutex.c 8acc2f464ee76324bf13310df5692a262b801808984c1b79defb2503bbafadb6
-F src/btree.c 0c27fb9b4bfd610261e2ac8956090fbf04b607b0d12bc0f1d77b6c5bf3ab3c7d
+F src/btree.c d9dcccd604aa8b128a20b195001570a46c354525d7abe165b1256ba1ffc307d1
 F src/btree.h febb2e817be499570b7a2e32a9bbb4b607a9234f6b84bb9ae84916d4806e96f2
 F src/btreeInt.h 620ab4c7235f43572cf3ac2ac8723cbdf68073be4d29da24897c7b77dda5fd96
 F src/build.c d8f6ac1e9e484eb3f3921a8336d3dc6c87273d9db8729702162ef045997a1463
@@ -1746,7 +1746,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 50de2a0d2d96b6b5b8de7ac6277d60859a8d9a56f6a792950734386bb9f10b79
-R 7606975cd5d0fe66f1e471238e1161bc
-U dan
-Z 6456109cb43b1ee3a3c96b1c08ab8aa9
+P 1ddbb5372e7ea8407369b88698b3fb922b62dcac72be633a17bd0e41baa369f4
+R 5c66b9951afcd0bf7776359106bb8565
+U drh
+Z f22409bd8b8c4945971d6235026966ec
diff --git a/manifest.uuid b/manifest.uuid
index 88877576c1..f5d4c21122 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-1ddbb5372e7ea8407369b88698b3fb922b62dcac72be633a17bd0e41baa369f4
\ No newline at end of file
+12be361a532df0c22a7e4d97658b82a69b1a205d4cca8d092b9e6b7790c1ee40
\ No newline at end of file
diff --git a/src/btree.c b/src/btree.c
index 20cc3eb106..553817e0f8 100644
--- a/src/btree.c
+++ b/src/btree.c
@@ -5196,7 +5196,10 @@ int sqlite3BtreeFirst(BtCursor *pCur, int *pRes){
 */
 #ifndef SQLITE_OMIT_WINDOWFUNC
 void sqlite3BtreeSkipNext(BtCursor *pCur){
-  if( pCur->eState==CURSOR_VALID ){
+  /* We believe that the cursor must always be in the valid state when
+  ** this routine is called, but the proof is difficult, so we add an
+  ** ALWaYS() test just in case we are wrong. */
+  if( ALWAYS(pCur->eState==CURSOR_VALID) ){
     pCur->eState = CURSOR_SKIPNEXT;
     pCur->skipNext = 1;
   }

From 142066d4b048c7c0160940efe669289ca1a7cf4d Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 9 Jul 2018 20:58:43 +0000
Subject: [PATCH 148/154] Add a comment to restriction (6) of the push-down
 optimization.  No changes to code.

FossilOrigin-Name: 0c8a2f257fb71b2b053c4a2028db063e92dd9ff585a17fa22a70f9223fb11e75
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/select.c  |  2 +-
 3 files changed, 8 insertions(+), 8 deletions(-)

diff --git a/manifest b/manifest
index 3c2eca2e5d..7b0030ce3a 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\san\sALWAYS()\saround\sa\sbranch\sin\ssqlite3BtreeSkipNext()\sthat\swe\sbelieve\nmust\salways\sbe\strue.
-D 2018-07-09T20:41:39.352
+C Add\sa\scomment\sto\srestriction\s(6)\sof\sthe\spush-down\soptimization.\s\sNo\schanges\nto\scode.
+D 2018-07-09T20:58:43.825
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -495,7 +495,7 @@ F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 1f965d00b4c26b7eb886b90c687069f5db0d05157dbc1ca406fe88e990eac671
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c 7b7c67731f87df39150e6218468d5672c260fd48ec808454609725aea9831236
+F src/select.c ac70f376d02875dac5349b824f9dbd4d444cb27aeb98edf72ae5bc8dec91f20e
 F src/shell.c.in f1c79c537117ee61317a5ed85cdbcb854998cd690eb34ab803779358a2ace780
 F src/sqlite.h.in 36f0b3f88241863530f4b7e57e673e19311dd609ec4edad83b23291928cdf853
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
@@ -1746,7 +1746,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 1ddbb5372e7ea8407369b88698b3fb922b62dcac72be633a17bd0e41baa369f4
-R 5c66b9951afcd0bf7776359106bb8565
+P 12be361a532df0c22a7e4d97658b82a69b1a205d4cca8d092b9e6b7790c1ee40
+R c48727f54db5812cf689e7e6c4d566ea
 U drh
-Z f22409bd8b8c4945971d6235026966ec
+Z c78a3161fc1cafaf82d835b065410dcc
diff --git a/manifest.uuid b/manifest.uuid
index f5d4c21122..fe601b79ae 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-12be361a532df0c22a7e4d97658b82a69b1a205d4cca8d092b9e6b7790c1ee40
\ No newline at end of file
+0c8a2f257fb71b2b053c4a2028db063e92dd9ff585a17fa22a70f9223fb11e75
\ No newline at end of file
diff --git a/src/select.c b/src/select.c
index c51bd1db02..24f11199bc 100644
--- a/src/select.c
+++ b/src/select.c
@@ -4157,7 +4157,7 @@ static int pushDownWhereTerms(
   if( pSubq->selFlags & SF_Recursive ) return 0;  /* restriction (2) */
 
 #ifndef SQLITE_OMIT_WINDOWFUNC
-  if( pSubq->pWin ) return 0;
+  if( pSubq->pWin ) return 0;    /* restriction (6) */
 #endif
 
 #ifdef SQLITE_DEBUG

From c7bf57168adc18e165b84ea7be15f294a7ea6590 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Mon, 9 Jul 2018 22:49:01 +0000
Subject: [PATCH 149/154] Fixes for various harmless compiler warnings.

FossilOrigin-Name: 5023b1b85b883a716a5da673740b6effe214ee0490f4ca45f161bb8b04784366
---
 ext/misc/json1.c |  2 ++
 manifest         | 24 ++++++++++++------------
 manifest.uuid    |  2 +-
 src/func.c       |  8 ++++----
 src/main.c       |  2 +-
 src/parse.y      |  4 ++--
 src/tokenize.c   |  6 +++---
 src/window.c     | 36 +++++++++++++++++++++++++-----------
 tool/lempar.c    |  6 ++++--
 9 files changed, 54 insertions(+), 36 deletions(-)

diff --git a/ext/misc/json1.c b/ext/misc/json1.c
index 57b0f9c7c5..c7e0aab2d1 100644
--- a/ext/misc/json1.c
+++ b/ext/misc/json1.c
@@ -1847,6 +1847,8 @@ static void jsonGroupInverse(
   int inStr = 0;
   char *z;
   JsonString *pStr;
+  UNUSED_PARAM(argc);
+  UNUSED_PARAM(argv);
   pStr = (JsonString*)sqlite3_aggregate_context(ctx, 0);
 #ifdef NEVER
   /* pStr is always non-NULL since jsonArrayStep() or jsonObjectStep() will
diff --git a/manifest b/manifest
index 7b0030ce3a..b258cece78 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Add\sa\scomment\sto\srestriction\s(6)\sof\sthe\spush-down\soptimization.\s\sNo\schanges\nto\scode.
-D 2018-07-09T20:58:43.825
+C Fixes\sfor\svarious\sharmless\scompiler\swarnings.
+D 2018-07-09T22:49:01.906
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -281,7 +281,7 @@ F ext/misc/eval.c 6ea9b22a5fa0dd973b67ca4e53555be177bc0b7b263aadf1024429457c82c0
 F ext/misc/fileio.c 48c7751c78fc4cdd29d8c862fd2f3f98bbfefa2a3cf1ca1496df4bf02eb8cded
 F ext/misc/fuzzer.c 7c64b8197bb77b7d64eff7cac7848870235d4c25
 F ext/misc/ieee754.c f190d0cc5182529acb15babd177781be1ac1718c
-F ext/misc/json1.c f5dc3b295db0ce88549c3ba13c7433efecfb74b80087663c638e67c9c753e7f6
+F ext/misc/json1.c 933ace99a1880e014f35fbf6444fb24e3cf9920c3a6a75e9aa70f0caf683e3fe
 F ext/misc/memvfs.c ab36f49e02ebcdf85a1e08dc4d8599ea8f343e073ac9e0bca18a98b7e1ec9567
 F ext/misc/mmapwarm.c 70b618f2d0bde43fae288ad0b7498a629f2b6f61b50a27e06fae3cd23c83af29
 F ext/misc/nextchar.c 35c8b8baacb96d92abbb34a83a997b797075b342
@@ -450,7 +450,7 @@ F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
 F src/expr.c 7e257eeffe9553c10a6ac0a1f0177bf740c4da834e7d6e2cbb7d3ebaa3d7f3e1
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
-F src/func.c e94214037dbc9d258ece54434fe120b419880550239c80dcd101afe7b2a51131
+F src/func.c 7c288b4ce309b5a8b8473514b88e1f8e69a80134509a8c0db8e39c858e367e7f
 F src/global.c 9bf034fd560bdd514715170ed8460bb7f823cec113f0569ef3f18a20c7ccd128
 F src/hash.c a12580e143f10301ed5166ea4964ae2853d3905a511d4e0c44497245c7ce1f7a
 F src/hash.h ab34c5c54a9e9de2e790b24349ba5aab3dbb4fd4
@@ -459,7 +459,7 @@ F src/in-operator.md 10cd8f4bcd225a32518407c2fb2484089112fd71
 F src/insert.c bcacf6a0d277f8fa0e4f9ffecda544a2330ca4478f904cd89564c2dd86d0b16b
 F src/legacy.c 134ab3e3fae00a0f67a5187981d6935b24b337bcf0f4b3e5c9fa5763da95bf4e
 F src/loadext.c 6aae5739198d96c51ae6eb97c4a5b1744c22ed7a5a565a5399a717780d48a36b
-F src/main.c f3d3ec74368c97bd6121bfc5c3bad2c6a4e82dbbd967f45dfaa5a2f33c253ca8
+F src/main.c db7d550fad3a95403f50d25cbdd8ec33037ed100e676f2481d58e0d9cf0f15dc
 F src/malloc.c 07295435093ce354c6d9063ac05a2eeae28bd251d2e63c48b3d67c12c76f7e18
 F src/mem0.c 6a55ebe57c46ca1a7d98da93aaa07f99f1059645
 F src/mem1.c c12a42539b1ba105e3707d0e628ad70e611040d8f5e38cf942cee30c867083de
@@ -484,7 +484,7 @@ F src/os_win.c ac29c25cde4cfb4adacc59cdec4aa45698ca0e29164ea127859585ccd9faa354
 F src/os_win.h 7b073010f1451abe501be30d12f6bc599824944a
 F src/pager.c 1bb6a57fa0465296a4d6109a1a64610a0e7adde1f3acf3ef539a9d972908ce8f
 F src/pager.h c571b064df842ec8f2e90855dead9acf4cbe0d1b2c05afe0ef0d0145f7fd0388
-F src/parse.y a7e0fb377d6ef98245cd4adc0b19f5d9216b65a090f29d1974c4feec95b1810b
+F src/parse.y 2eee45f4c80cc442b29ae6ca5f174a70cdb669bd0dc25a1a9cad3228a3b01c3d
 F src/pcache.c 135ef0bc6fb2e3b7178d49ab5c9176254c8a691832c1bceb1156b2fbdd0869bd
 F src/pcache.h 072f94d29281cffd99e46c1539849f248c4b56ae7684c1f36626797fee375170
 F src/pcache1.c 716975564c15eb6679e97f734cec1bfd6c16ac3d4010f05f1f8e509fc7d19880
@@ -558,7 +558,7 @@ F src/test_windirent.h 90dfbe95442c9762357fe128dc7ae3dc199d006de93eb33ba3972e0a9
 F src/test_window.c 0d19b33e7a262d3b55e85bc0fb84a70f503686cbd769939176162fe866ce7f9e
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
-F src/tokenize.c e0a90f3d594e3db842581543abf157c8e63617655c91ad35d77e339a1bc36ce0
+F src/tokenize.c 01e96d1b639c3eb0b9ef90616e766d453935c554f1f7aa86b6db937b79554b97
 F src/treeview.c 2c5c4bc0a443401db5fd621542150452ddf5055d38edd4eef868bc2b6bfb0260
 F src/trigger.c 4ace6d1d5ba9a89822deb287317f33c810440526eafe185c2d8a48c31df1e995
 F src/update.c 46dc24c6158446aaab45caee09b6d99327cb479268b83ffeb5b701823da3b67b
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 0d5d4bcddd2dacc75eeb191435cdf6b202859ab4e00da60b49473ecf82b310da
+F src/window.c 60b374948d2f620dcd75656b5989cc81a9adbfe1a501d56e4ec2ff31b566fab9
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1666,7 +1666,7 @@ F tool/genfkey.test 4196a8928b78f51d54ef58e99e99401ab2f0a7e5
 F tool/getlock.c f4c39b651370156cae979501a7b156bdba50e7ce
 F tool/kvtest-speed.sh 4761a9c4b3530907562314d7757995787f7aef8f
 F tool/lemon.c 33892e2a243865f73e6c6e7cecce3c6eb4bb95db4a3d9d86d146c8064feb92fd
-F tool/lempar.c a6ebc2024f2d3ab90b93b4ea8bb39b4a320e7a4a4268e1fdef8ae45e8e714593
+F tool/lempar.c 428a050780425be2d699e939605fcbc54a161c20884f11b476b2eea961394bbe
 F tool/libvers.c caafc3b689638a1d88d44bc5f526c2278760d9b9
 F tool/loadfts.c c3c64e4d5e90e8ba41159232c2189dba4be7b862
 F tool/logest.c 11346aa019e2e77a00902aa7d0cabd27bd2e8cca
@@ -1746,7 +1746,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 12be361a532df0c22a7e4d97658b82a69b1a205d4cca8d092b9e6b7790c1ee40
-R c48727f54db5812cf689e7e6c4d566ea
+P 0c8a2f257fb71b2b053c4a2028db063e92dd9ff585a17fa22a70f9223fb11e75
+R f04a87b92e27af849599e79f96e43d61
 U drh
-Z c78a3161fc1cafaf82d835b065410dcc
+Z 40c0c33790af4ea254b922890c6786fb
diff --git a/manifest.uuid b/manifest.uuid
index fe601b79ae..b4002a0e18 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-0c8a2f257fb71b2b053c4a2028db063e92dd9ff585a17fa22a70f9223fb11e75
\ No newline at end of file
+5023b1b85b883a716a5da673740b6effe214ee0490f4ca45f161bb8b04784366
\ No newline at end of file
diff --git a/src/func.c b/src/func.c
index 61575745ad..0504a8f026 100644
--- a/src/func.c
+++ b/src/func.c
@@ -1671,13 +1671,13 @@ static void minMaxValueFinalize(sqlite3_context *context, int bValue){
 }
 #ifndef SQLITE_OMIT_WINDOWFUNC
 static void minMaxValue(sqlite3_context *context){
-  return minMaxValueFinalize(context, 1);
+  minMaxValueFinalize(context, 1);
 }
 #else
 # define minMaxValue 0
 #endif /* SQLITE_OMIT_WINDOWFUNC */
 static void minMaxFinalize(sqlite3_context *context){
-  return minMaxValueFinalize(context, 0);
+  minMaxValueFinalize(context, 0);
 }
 
 /*
@@ -1722,8 +1722,8 @@ static void groupConcatInverse(
   sqlite3_value **argv
 ){
   int n;
-  assert( argc==1 || argc==2 );
   StrAccum *pAccum;
+  assert( argc==1 || argc==2 );
   if( sqlite3_value_type(argv[0])==SQLITE_NULL ) return;
   pAccum = (StrAccum*)sqlite3_aggregate_context(context, sizeof(*pAccum));
   /* pAccum is always non-NULL since groupConcatStep() will have always
@@ -1735,7 +1735,7 @@ static void groupConcatInverse(
     }else{
       n++;
     }
-    if( n>=pAccum->nChar ){
+    if( n>=(int)pAccum->nChar ){
       pAccum->nChar = 0;
     }else{
       pAccum->nChar -= n;
diff --git a/src/main.c b/src/main.c
index 1a9dc1b84e..0ce19c579b 100644
--- a/src/main.c
+++ b/src/main.c
@@ -1740,7 +1740,7 @@ int sqlite3CreateFunc(
   ** operation to continue but invalidate all precompiled statements.
   */
   p = sqlite3FindFunction(db, zFunctionName, nArg, (u8)enc, 0);
-  if( p && (p->funcFlags & SQLITE_FUNC_ENCMASK)==enc && p->nArg==nArg ){
+  if( p && (p->funcFlags & SQLITE_FUNC_ENCMASK)==(u32)enc && p->nArg==nArg ){
     if( db->nVdbeActive ){
       sqlite3ErrorWithMsg(db, SQLITE_BUSY, 
         "unable to delete/modify user-function due to active statements");
diff --git a/src/parse.y b/src/parse.y
index 0cfba1b3e6..acb8b728e5 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -547,7 +547,7 @@ oneselect(A) ::= SELECT(S) distinct(D) selcollist(W) from(X) where_opt(Y)
   }else{
     sqlite3WindowListDelete(pParse->db, R);
   }
-#endif // SQLITE_OMIT_WINDOWFUNC
+#endif /* SQLITE_OMIT_WINDOWFUNC */
 #if SELECTTRACE_ENABLED
   /* Populate the Select.zSelName[] string that is used to help with
   ** query planner debugging, to differentiate between multiple Select
@@ -1702,4 +1702,4 @@ over_opt(A) ::= filter_opt(W) OVER nm(Z). {
 
 filter_opt(A) ::= .                            { A = 0; }
 filter_opt(A) ::= FILTER LP WHERE expr(X) RP.  { A = X; }
-%endif // SQLITE_OMIT_WINDOWFUNC
+%endif /* SQLITE_OMIT_WINDOWFUNC */
diff --git a/src/tokenize.c b/src/tokenize.c
index fc5989cdde..6cdff74d36 100644
--- a/src/tokenize.c
+++ b/src/tokenize.c
@@ -264,7 +264,7 @@ static int analyzeFilterKeyword(const unsigned char *z, int lastToken){
   }
   return TK_ID;
 }
-#endif // SQLITE_OMIT_WINDOWFUNC
+#endif /* SQLITE_OMIT_WINDOWFUNC */
 
 /*
 ** Return the length (in bytes) of the token that begins at z[0]. 
@@ -604,7 +604,7 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
 #else
     if( tokenType>=TK_SPACE ){
       assert( tokenType==TK_SPACE || tokenType==TK_ILLEGAL );
-#endif // SQLITE_OMIT_WINDOWFUNC
+#endif /* SQLITE_OMIT_WINDOWFUNC */
       if( db->u1.isInterrupted ){
         pParse->rc = SQLITE_INTERRUPT;
         break;
@@ -634,7 +634,7 @@ int sqlite3RunParser(Parse *pParse, const char *zSql, char **pzErrMsg){
       }else if( tokenType==TK_FILTER ){
         assert( n==6 );
         tokenType = analyzeFilterKeyword((const u8*)&zSql[6], lastTokenParsed);
-#endif // SQLITE_OMIT_WINDOWFUNC
+#endif /* SQLITE_OMIT_WINDOWFUNC */
       }else{
         sqlite3ErrorMsg(pParse, "unrecognized token: \"%.*s\"", n, zSql);
         break;
diff --git a/src/window.c b/src/window.c
index 7a3831f978..b531c4b8c3 100644
--- a/src/window.c
+++ b/src/window.c
@@ -151,6 +151,8 @@ static void row_numberStepFunc(
 ){
   i64 *p = (i64*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ) (*p)++;
+  UNUSED_PARAMETER(nArg);
+  UNUSED_PARAMETER(apArg);
 }
 static void row_numberValueFunc(sqlite3_context *pCtx){
   i64 *p = (i64*)sqlite3_aggregate_context(pCtx, sizeof(*p));
@@ -181,6 +183,8 @@ static void dense_rankStepFunc(
   struct CallCount *p;
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ) p->nStep = 1;
+  UNUSED_PARAMETER(nArg);
+  UNUSED_PARAMETER(apArg);
 }
 static void dense_rankValueFunc(sqlite3_context *pCtx){
   struct CallCount *p;
@@ -213,6 +217,8 @@ static void rankStepFunc(
       p->nValue = p->nStep;
     }
   }
+  UNUSED_PARAMETER(nArg);
+  UNUSED_PARAMETER(apArg);
 }
 static void rankValueFunc(sqlite3_context *pCtx){
   struct CallCount *p;
@@ -235,7 +241,7 @@ static void percent_rankStepFunc(
   sqlite3_value **apArg
 ){
   struct CallCount *p;
-  assert( nArg==1 );
+  UNUSED_PARAMETER(nArg); assert( nArg==1 );
 
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ){
@@ -274,7 +280,7 @@ static void cume_distStepFunc(
   sqlite3_value **apArg
 ){
   struct CallCount *p;
-  assert( nArg==1 );
+  assert( nArg==1 ); UNUSED_PARAMETER(nArg);
 
   p = (struct CallCount*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ){
@@ -314,7 +320,7 @@ static void ntileStepFunc(
   sqlite3_value **apArg
 ){
   struct NtileCtx *p;
-  assert( nArg==2 );
+  assert( nArg==2 ); UNUSED_PARAMETER(nArg);
   p = (struct NtileCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ){
     if( p->nTotal==0 ){
@@ -369,6 +375,7 @@ static void last_valueStepFunc(
   sqlite3_value **apArg
 ){
   struct LastValueCtx *p;
+  UNUSED_PARAMETER(nArg);
   p = (struct LastValueCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( p ){
     sqlite3_value_free(p->pVal);
@@ -386,6 +393,8 @@ static void last_valueInvFunc(
   sqlite3_value **apArg
 ){
   struct LastValueCtx *p;
+  UNUSED_PARAMETER(nArg);
+  UNUSED_PARAMETER(apArg);
   p = (struct LastValueCtx*)sqlite3_aggregate_context(pCtx, sizeof(*p));
   if( ALWAYS(p) ){
     p->nVal--;
@@ -446,16 +455,19 @@ static void noopStepFunc(    /*NO_TEST*/
   int n,                     /*NO_TEST*/
   sqlite3_value **a          /*NO_TEST*/
 ){                           /*NO_TEST*/
+  UNUSED_PARAMETER(p);       /*NO_TEST*/
+  UNUSED_PARAMETER(n);       /*NO_TEST*/
+  UNUSED_PARAMETER(a);       /*NO_TEST*/
   assert(0);                 /*NO_TEST*/
 }                            /*NO_TEST*/
-static void noopValueFunc(sqlite3_context *p){ /*no-op*/; }
+static void noopValueFunc(sqlite3_context *p){ UNUSED_PARAMETER(p); /*no-op*/ }
 
 /* Window functions that use all window interfaces: xStep, xFinal,
 ** xValue, and xInverse */
 #define WINDOWFUNCALL(name,nArg,extra) {                                   \
   nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
   name ## StepFunc, name ## FinalizeFunc, name ## ValueFunc,               \
-  name ## InvFunc, name ## Name                                            \
+  name ## InvFunc, name ## Name, {0}                                       \
 }
 
 /* Window functions that are implemented using bytecode and thus have
@@ -463,7 +475,7 @@ static void noopValueFunc(sqlite3_context *p){ /*no-op*/; }
 #define WINDOWFUNCNOOP(name,nArg,extra) {                                  \
   nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
   noopStepFunc, noopValueFunc, noopValueFunc,                              \
-  noopStepFunc, name ## Name                                               \
+  noopStepFunc, name ## Name, {0}                                          \
 }
 
 /* Window functions that use all window interfaces: xStep, the
@@ -472,7 +484,7 @@ static void noopValueFunc(sqlite3_context *p){ /*no-op*/; }
 #define WINDOWFUNCX(name,nArg,extra) {                                     \
   nArg, (SQLITE_UTF8|SQLITE_FUNC_WINDOW|extra), 0, 0,                      \
   name ## StepFunc, name ## ValueFunc, name ## ValueFunc,                  \
-  noopStepFunc, name ## Name                                               \
+  noopStepFunc, name ## Name, {0}                                          \
 }
 
 
@@ -631,6 +643,8 @@ static int selectWindowRewriteExprCb(Walker *pWalker, Expr *pExpr){
   return WRC_Continue;
 }
 static int selectWindowRewriteSelectCb(Walker *pWalker, Select *pSelect){
+  UNUSED_PARAMETER(pWalker);
+  UNUSED_PARAMETER(pSelect);
   return WRC_Prune;
 }
 
@@ -1543,8 +1557,8 @@ static void windowCodeRowExprStep(
   int regEnd;                      /* Value of <expr> FOLLOWING */
   int addrGoto;
   int addrTop;
-  int addrIfPos1;
-  int addrIfPos2;
+  int addrIfPos1 = 0;
+  int addrIfPos2 = 0;
   int regSize = 0;
 
   assert( pMWin->eStart==TK_PRECEDING 
@@ -1864,9 +1878,9 @@ static void windowCodeCacheStep(
   VdbeCoverageNeverTaken(v);
 
   if( bReverse ){
-    int addr = sqlite3VdbeCurrentAddr(v);
+    int addr2 = sqlite3VdbeCurrentAddr(v);
     windowAggStep(pParse, pMWin, csrLead, 0, regArg, regSize);
-    sqlite3VdbeAddOp2(v, OP_Next, csrLead, addr);
+    sqlite3VdbeAddOp2(v, OP_Next, csrLead, addr2);
     VdbeCoverage(v);
     sqlite3VdbeAddOp2(v, OP_Rewind, csrLead, lblEmpty);
     VdbeCoverageNeverTaken(v);
diff --git a/tool/lempar.c b/tool/lempar.c
index e19aba4d20..a193df92f9 100644
--- a/tool/lempar.c
+++ b/tool/lempar.c
@@ -550,7 +550,7 @@ static YYACTIONTYPE yy_find_shift_action(
 #if YY_SHIFT_MAX+YYWILDCARD>=YY_ACTTAB_COUNT
           j<YY_ACTTAB_COUNT &&
 #endif
-          j<sizeof(yy_lookahead)/sizeof(yy_lookahead[0]) &&
+          j<(int)(sizeof(yy_lookahead)/sizeof(yy_lookahead[0])) &&
           yy_lookahead[j]==YYWILDCARD && iLookAhead>0
         ){
 #ifndef NDEBUG
@@ -1066,9 +1066,11 @@ void Parse(
 */
 int ParseFallback(int iToken){
 #ifdef YYFALLBACK
-  if( iToken<sizeof(yyFallback)/sizeof(yyFallback[0]) ){
+  if( iToken<(int)(sizeof(yyFallback)/sizeof(yyFallback[0])) ){
     return yyFallback[iToken];
   }
+#else
+  (void)iToken;
 #endif
   return 0;
 }

From 0b3b0dd1b1b6f3f7f7406c42e32886481fd94b89 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 10 Jul 2018 05:11:03 +0000
Subject: [PATCH 150/154] New VDBE comments and coverage macros.

FossilOrigin-Name: a9a307265b0626b3e9df69534c8eacf18413ea31784c9d931eadcff515d3dd84
---
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 src/select.c  |  2 ++
 src/window.c  | 12 ++++++++++--
 4 files changed, 20 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index b258cece78..5040ebb57d 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Fixes\sfor\svarious\sharmless\scompiler\swarnings.
-D 2018-07-09T22:49:01.906
+C New\sVDBE\scomments\sand\scoverage\smacros.
+D 2018-07-10T05:11:03.432
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -495,7 +495,7 @@ F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
 F src/resolve.c 1f965d00b4c26b7eb886b90c687069f5db0d05157dbc1ca406fe88e990eac671
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
-F src/select.c ac70f376d02875dac5349b824f9dbd4d444cb27aeb98edf72ae5bc8dec91f20e
+F src/select.c c06d56c1d5931456b2507ac8cf8205e83492a309b685e3978953f0b0156af191
 F src/shell.c.in f1c79c537117ee61317a5ed85cdbcb854998cd690eb34ab803779358a2ace780
 F src/sqlite.h.in 36f0b3f88241863530f4b7e57e673e19311dd609ec4edad83b23291928cdf853
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
@@ -584,7 +584,7 @@ F src/where.c 0bcbf9e191ca07f9ea2008aa80e70ded46bcdffd26560c83397da501f00aece6
 F src/whereInt.h b90ef9b9707ef750eab2a7a080c48fb4900315033274689def32d0cf5a81ebe4
 F src/wherecode.c 3317f2b083a66d3e65a03edf316ade4ccb0a99c9956273282ebb579b95d4ba96
 F src/whereexpr.c 571618c67a3eb5ce0f1158c2792c1aee9b4a4a264392fc4fb1b35467f80abf9a
-F src/window.c 60b374948d2f620dcd75656b5989cc81a9adbfe1a501d56e4ec2ff31b566fab9
+F src/window.c df2bc08168ec3d7509d4674b0e52f90f83011425e0d6519240cec051d16cbd62
 F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
 F test/affinity2.test a6d901b436328bd67a79b41bb0ac2663918fe3bd
 F test/affinity3.test 6a101af2fc945ce2912f6fe54dd646018551710d
@@ -1746,7 +1746,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 0c8a2f257fb71b2b053c4a2028db063e92dd9ff585a17fa22a70f9223fb11e75
-R f04a87b92e27af849599e79f96e43d61
+P 5023b1b85b883a716a5da673740b6effe214ee0490f4ca45f161bb8b04784366
+R 1d4ea7412d930566b30febcbbea41480
 U drh
-Z 40c0c33790af4ea254b922890c6786fb
+Z a8f24d1ff4685d87f042dd3f45af12cc
diff --git a/manifest.uuid b/manifest.uuid
index b4002a0e18..d0d5647ce8 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-5023b1b85b883a716a5da673740b6effe214ee0490f4ca45f161bb8b04784366
\ No newline at end of file
+a9a307265b0626b3e9df69534c8eacf18413ea31784c9d931eadcff515d3dd84
\ No newline at end of file
diff --git a/src/select.c b/src/select.c
index 24f11199bc..2fd2fb753f 100644
--- a/src/select.c
+++ b/src/select.c
@@ -5940,9 +5940,11 @@ int sqlite3Select(
 
       sqlite3VdbeAddOp2(v, OP_Goto, 0, iBreak);
       sqlite3VdbeResolveLabel(v, addrGosub);
+      VdbeNoopComment((v, "SELECT inner-loop subroutine"));
       selectInnerLoop(pParse, p, -1, &sSort, &sDistinct, pDest, iCont, iBreak);
       sqlite3VdbeResolveLabel(v, iCont);
       sqlite3VdbeAddOp1(v, OP_Return, regGosub);
+      VdbeComment((v, "end inner-loop subroutine"));
       sqlite3VdbeResolveLabel(v, iBreak);
     }else
 #endif /* SQLITE_OMIT_WINDOWFUNC */
diff --git a/src/window.c b/src/window.c
index b531c4b8c3..5caaaa6ddb 100644
--- a/src/window.c
+++ b/src/window.c
@@ -1034,9 +1034,13 @@ static void windowCheckIntValue(Parse *pParse, int reg, int eCond){
   assert( eCond==0 || eCond==1 || eCond==2 );
   sqlite3VdbeAddOp2(v, OP_Integer, 0, regZero);
   sqlite3VdbeAddOp2(v, OP_MustBeInt, reg, sqlite3VdbeCurrentAddr(v)+2);
-  VdbeCoverage(v);
+  VdbeCoverageIf(v, eCond==0);
+  VdbeCoverageIf(v, eCond==1);
+  VdbeCoverageIf(v, eCond==2);
   sqlite3VdbeAddOp3(v, aOp[eCond], regZero, sqlite3VdbeCurrentAddr(v)+2, reg);
-  VdbeCoverage(v);
+  VdbeCoverageIf(v, eCond==0);
+  VdbeCoverageIf(v, eCond==1);
+  VdbeCoverageIf(v, eCond==2);
   sqlite3VdbeAddOp2(v, OP_Halt, SQLITE_ERROR, OE_Abort);
   sqlite3VdbeAppendP4(v, (void*)azErr[eCond], P4_STATIC);
   sqlite3ReleaseTempReg(pParse, regZero);
@@ -1250,6 +1254,7 @@ static void windowPartitionCache(
     VdbeCoverage(v);
     sqlite3VdbeAddOp3(v, OP_Copy, regNewPart, pMWin->regPart, nPart-1);
     sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
+    VdbeComment((v, "call flush_partition"));
   }
 
   /* Buffer the current row in the ephemeral table. */
@@ -1261,6 +1266,7 @@ static void windowPartitionCache(
 
   /* Invoke "flush_partition" to deal with the final (or only) partition */
   sqlite3VdbeAddOp2(v, OP_Gosub, regFlushPart, lblFlushPart);
+  VdbeComment((v, "call flush_partition"));
 }
 
 /*
@@ -1588,6 +1594,7 @@ static void windowCodeRowExprStep(
   sqlite3VdbeResolveLabel(v, lblFlushPart);
   sqlite3VdbeAddOp2(v, OP_Once, 0, sqlite3VdbeCurrentAddr(v)+3);
   VdbeCoverage(v);
+  VdbeComment((v, "Flush_partition subroutine"));
   sqlite3VdbeAddOp2(v, OP_OpenDup, csrStart, pMWin->iEphCsr);
   sqlite3VdbeAddOp2(v, OP_OpenDup, csrEnd, pMWin->iEphCsr);
 
@@ -1709,6 +1716,7 @@ static void windowCodeRowExprStep(
   sqlite3VdbeResolveLabel(v, lblFlushDone);
   sqlite3VdbeAddOp1(v, OP_ResetSorter, pMWin->iEphCsr);
   sqlite3VdbeAddOp1(v, OP_Return, regFlushPart);
+  VdbeComment((v, "end flush_partition subroutine"));
 
   /* Jump to here to skip over flush_partition */
   sqlite3VdbeJumpHere(v, addrGoto);

From a1fd4b520b11d19f93be6f3cd9dca6137486c0d0 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 10 Jul 2018 06:32:53 +0000
Subject: [PATCH 151/154] Enhance the TreeView mechanism so that it shows the
 window function data structures as part of the abstract syntax tree.

FossilOrigin-Name: a2c0e1bec0d8a6f982572c4c5a8166319b8db0fe586057f7900f0ab72af6554e
---
 manifest        |  14 +++---
 manifest.uuid   |   2 +-
 src/sqliteInt.h |  34 +++++++++-----
 src/treeview.c  | 116 +++++++++++++++++++++++++++++++++++++++++++++++-
 4 files changed, 147 insertions(+), 19 deletions(-)

diff --git a/manifest b/manifest
index 5040ebb57d..75f9e4c813 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C New\sVDBE\scomments\sand\scoverage\smacros.
-D 2018-07-10T05:11:03.432
+C Enhance\sthe\sTreeView\smechanism\sso\sthat\sit\sshows\sthe\swindow\sfunction\ndata\sstructures\sas\spart\sof\sthe\sabstract\ssyntax\stree.
+D 2018-07-10T06:32:53.781
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -500,7 +500,7 @@ F src/shell.c.in f1c79c537117ee61317a5ed85cdbcb854998cd690eb34ab803779358a2ace78
 F src/sqlite.h.in 36f0b3f88241863530f4b7e57e673e19311dd609ec4edad83b23291928cdf853
 F src/sqlite3.rc 5121c9e10c3964d5755191c80dd1180c122fc3a8
 F src/sqlite3ext.h 9887b27e69c01e79c2cbe74ef73bf01af5b5703d6a7f0a4371e386d7249cb1c7
-F src/sqliteInt.h c14c850bf0c4dd3860cc5092f140ae9faf93b77737b3febf38454088e1ab3988
+F src/sqliteInt.h 7e24bfe3bf22df5516062f229fe181f9532ff44335d702c525420e060aad78da
 F src/sqliteLimit.h 1513bfb7b20378aa0041e7022d04acb73525de35b80b252f1b83fedb4de6a76b
 F src/status.c 46e7aec11f79dad50965a5ca5fa9de009f7d6bde08be2156f1538a0a296d4d0e
 F src/table.c b46ad567748f24a326d9de40e5b9659f96ffff34
@@ -559,7 +559,7 @@ F src/test_window.c 0d19b33e7a262d3b55e85bc0fb84a70f503686cbd769939176162fe866ce
 F src/test_wsd.c 41cadfd9d97fe8e3e4e44f61a4a8ccd6f7ca8fe9
 F src/threads.c 4ae07fa022a3dc7c5beb373cf744a85d3c5c6c3c
 F src/tokenize.c 01e96d1b639c3eb0b9ef90616e766d453935c554f1f7aa86b6db937b79554b97
-F src/treeview.c 2c5c4bc0a443401db5fd621542150452ddf5055d38edd4eef868bc2b6bfb0260
+F src/treeview.c 2d0fa21befa82f5c1ec419d20ea73dd845faffeb27ee1df9828e742985c35729
 F src/trigger.c 4ace6d1d5ba9a89822deb287317f33c810440526eafe185c2d8a48c31df1e995
 F src/update.c 46dc24c6158446aaab45caee09b6d99327cb479268b83ffeb5b701823da3b67b
 F src/upsert.c 47edd408cc73f8d3c00a140550d1ad180b407c146285947969dd09874802bf88
@@ -1746,7 +1746,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 5023b1b85b883a716a5da673740b6effe214ee0490f4ca45f161bb8b04784366
-R 1d4ea7412d930566b30febcbbea41480
+P a9a307265b0626b3e9df69534c8eacf18413ea31784c9d931eadcff515d3dd84
+R 55502084a84a2e2884b7442095b4ff11
 U drh
-Z a8f24d1ff4685d87f042dd3f45af12cc
+Z c5933f33cc5508d96ff93ada77827be8
diff --git a/manifest.uuid b/manifest.uuid
index d0d5647ce8..4d5e5ad26d 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-a9a307265b0626b3e9df69534c8eacf18413ea31784c9d931eadcff515d3dd84
\ No newline at end of file
+a2c0e1bec0d8a6f982572c4c5a8166319b8db0fe586057f7900f0ab72af6554e
\ No newline at end of file
diff --git a/src/sqliteInt.h b/src/sqliteInt.h
index 448918a7f6..c15c19e80a 100644
--- a/src/sqliteInt.h
+++ b/src/sqliteInt.h
@@ -3490,8 +3490,22 @@ struct TreeView {
 #endif /* SQLITE_DEBUG */
 
 /*
-** Object used to encode the OVER() clause attached to a window-function
-** invocation. And some fields used while generating VM code for the same.
+** This object is used in varioius ways, all related to window functions
+**
+**   (1) A single instance of this structure is attached to the
+**       the Expr.pWin field for each window function in an expression tree.
+**       This object holds the information contained in the OVER clause,
+**       plus additional fields used during code generation.
+**
+**   (2) All window functions in a single SELECT form a linked-list
+**       attached to Select.pWin.  The Window.pFunc and Window.pExpr
+**       fields point back to the expression that is the window function.
+**
+**   (3) The terms of the WINDOW clause of a SELECT are instances of this
+**       object on a linked list attached to Select.pWinDefn.
+**
+** The uses (1) and (2) are really the same Window object that just happens
+** to be accessible in two different ways.  Use (3) is are separate objects.
 */
 struct Window {
   char *zName;            /* Name of window (may be NULL) */
@@ -3502,20 +3516,16 @@ struct Window {
   u8 eEnd;                /* UNBOUNDED, CURRENT, PRECEDING or FOLLOWING */
   Expr *pStart;           /* Expression for "<expr> PRECEDING" */
   Expr *pEnd;             /* Expression for "<expr> FOLLOWING" */
-
   Window *pNextWin;       /* Next window function belonging to this SELECT */
-
-  Expr *pFilter;
-  FuncDef *pFunc;
-
+  Expr *pFilter;          /* The FILTER expression */
+  FuncDef *pFunc;         /* The function */
   int iEphCsr;            /* Temp table used by this window */
   int regAccum;
   int regResult;
-
   int csrApp;             /* Function cursor (used by min/max) */
   int regApp;             /* Function register (also used by min/max) */
-
-  int regPart;
+  int regPart;            /* First in a set of registers holding PARTITION BY
+                          ** and ORDER BY values for the window */
   Expr *pOwner;           /* Expression object this window is attached to */
   int nBufferCol;         /* Number of columns in buffer table */
   int iArgCol;            /* Offset of first argument for this function */
@@ -3755,6 +3765,10 @@ char *sqlite3VMPrintf(sqlite3*,const char*, va_list);
   void sqlite3TreeViewExprList(TreeView*, const ExprList*, u8, const char*);
   void sqlite3TreeViewSelect(TreeView*, const Select*, u8);
   void sqlite3TreeViewWith(TreeView*, const With*, u8);
+#ifndef SQLITE_OMIT_WINDOWFUNC
+  void sqlite3TreeViewWindow(TreeView*, const Window*, u8);
+  void sqlite3TreeViewWinFunc(TreeView*, const Window*, u8);
+#endif
 #endif
 
 
diff --git a/src/treeview.c b/src/treeview.c
index 970d85eba4..1ece76f953 100644
--- a/src/treeview.c
+++ b/src/treeview.c
@@ -165,8 +165,23 @@ void sqlite3TreeViewSelect(TreeView *pView, const Select *p, u8 moreToFollow){
       if( p->pHaving ) n++;
       if( p->pOrderBy ) n++;
       if( p->pLimit ) n++;
+#ifndef SQLITE_OMIT_WINDOWFUNC
+      if( p->pWin ) n++;
+      if( p->pWinDefn ) n++;
+#endif
     }
     sqlite3TreeViewExprList(pView, p->pEList, (n--)>0, "result-set");
+#ifndef SQLITE_OMIT_WINDOWFUNC
+    if( p->pWin ){
+      Window *pX;
+      pView = sqlite3TreeViewPush(pView, (n--)>0);
+      sqlite3TreeViewLine(pView, "window-functions");
+      for(pX=p->pWin; pX; pX=pX->pNextWin){
+        sqlite3TreeViewWinFunc(pView, pX, pX->pNextWin!=0);
+      }
+      sqlite3TreeViewPop(pView);
+    }
+#endif
     if( p->pSrc && p->pSrc->nSrc ){
       int i;
       pView = sqlite3TreeViewPush(pView, (n--)>0);
@@ -216,6 +231,16 @@ void sqlite3TreeViewSelect(TreeView *pView, const Select *p, u8 moreToFollow){
       sqlite3TreeViewExpr(pView, p->pHaving, 0);
       sqlite3TreeViewPop(pView);
     }
+#ifndef SQLITE_OMIT_WINDOWFUNC
+    if( p->pWinDefn ){
+      Window *pX;
+      sqlite3TreeViewItem(pView, "WINDOW", (n--)>0);
+      for(pX=p->pWinDefn; pX; pX=pX->pNextWin){
+        sqlite3TreeViewWindow(pView, pX, pX->pNextWin!=0);
+      }
+      sqlite3TreeViewPop(pView);
+    }
+#endif
     if( p->pOrderBy ){
       sqlite3TreeViewExprList(pView, p->pOrderBy, (n--)>0, "ORDERBY");
     }
@@ -243,6 +268,83 @@ void sqlite3TreeViewSelect(TreeView *pView, const Select *p, u8 moreToFollow){
   sqlite3TreeViewPop(pView);
 }
 
+#ifndef SQLITE_OMIT_WINDOWFUNC
+/*
+** Generate a description of starting or stopping bounds
+*/
+void sqlite3TreeViewBound(
+  TreeView *pView,        /* View context */
+  u8 eBound,              /* UNBOUNDED, CURRENT, PRECEDING, FOLLOWING */
+  Expr *pExpr,            /* Value for PRECEDING or FOLLOWING */
+  u8 moreToFollow         /* True if more to follow */
+){
+  switch( eBound ){
+    case TK_UNBOUNDED: {
+      sqlite3TreeViewItem(pView, "UNBOUNDED", moreToFollow);
+      sqlite3TreeViewPop(pView);
+      break;
+    }
+    case TK_CURRENT: {
+      sqlite3TreeViewItem(pView, "CURRENT", moreToFollow);
+      sqlite3TreeViewPop(pView);
+      break;
+    }
+    case TK_PRECEDING: {
+      sqlite3TreeViewItem(pView, "PRECEDING", moreToFollow);
+      sqlite3TreeViewExpr(pView, pExpr, 0);
+      sqlite3TreeViewPop(pView);
+      break;
+    }
+    case TK_FOLLOWING: {
+      sqlite3TreeViewItem(pView, "FOLLOWING", moreToFollow);
+      sqlite3TreeViewExpr(pView, pExpr, 0);
+      sqlite3TreeViewPop(pView);
+      break;
+    }
+  }
+}
+#endif /* SQLITE_OMIT_WINDOWFUNC */
+
+#ifndef SQLITE_OMIT_WINDOWFUNC
+/*
+** Generate a human-readable explanation for a Window object
+*/
+void sqlite3TreeViewWindow(TreeView *pView, const Window *pWin, u8 more){
+  pView = sqlite3TreeViewPush(pView, more);
+  if( pWin->zName ){
+    sqlite3TreeViewLine(pView, "OVER %s", pWin->zName);
+  }else{
+    sqlite3TreeViewLine(pView, "OVER");
+  }
+  if( pWin->pPartition ){
+    sqlite3TreeViewExprList(pView, pWin->pPartition, 1, "PARTITION-BY");
+  }
+  if( pWin->pOrderBy ){
+    sqlite3TreeViewExprList(pView, pWin->pOrderBy, 1, "ORDER-BY");
+  }
+  if( pWin->eType ){
+    sqlite3TreeViewItem(pView, pWin->eType==TK_RANGE ? "RANGE" : "ROWS", 0);
+    sqlite3TreeViewBound(pView, pWin->eStart, pWin->pStart, 1);
+    sqlite3TreeViewBound(pView, pWin->eEnd, pWin->pEnd, 0);
+    sqlite3TreeViewPop(pView);
+  }
+  sqlite3TreeViewPop(pView);
+}
+#endif /* SQLITE_OMIT_WINDOWFUNC */
+
+#ifndef SQLITE_OMIT_WINDOWFUNC
+/*
+** Generate a human-readable explanation for a Window Function object
+*/
+void sqlite3TreeViewWinFunc(TreeView *pView, const Window *pWin, u8 more){
+  pView = sqlite3TreeViewPush(pView, more);
+  sqlite3TreeViewLine(pView, "WINFUNC %s(%d)",
+                       pWin->pFunc->zName, pWin->pFunc->nArg);
+  sqlite3TreeViewWindow(pView, pWin, 0);
+  sqlite3TreeViewPop(pView);
+}
+#endif /* SQLITE_OMIT_WINDOWFUNC */
+
 /*
 ** Generate a human-readable explanation of an expression tree.
 */
@@ -393,10 +495,17 @@ void sqlite3TreeViewExpr(TreeView *pView, const Expr *pExpr, u8 moreToFollow){
     case TK_AGG_FUNCTION:
     case TK_FUNCTION: {
       ExprList *pFarg;       /* List of function arguments */
+      Window *pWin;
       if( ExprHasProperty(pExpr, EP_TokenOnly) ){
         pFarg = 0;
+        pWin = 0;
       }else{
         pFarg = pExpr->x.pList;
+#ifndef SQLITE_OMIT_WINDOWFUNC
+        pWin = pExpr->pWin;
+#else
+        pWin = 0;
+#endif 
       }
       if( pExpr->op==TK_AGG_FUNCTION ){
         sqlite3TreeViewLine(pView, "AGG_FUNCTION%d %Q",
@@ -405,8 +514,13 @@ void sqlite3TreeViewExpr(TreeView *pView, const Expr *pExpr, u8 moreToFollow){
         sqlite3TreeViewLine(pView, "FUNCTION %Q", pExpr->u.zToken);
       }
       if( pFarg ){
-        sqlite3TreeViewExprList(pView, pFarg, 0, 0);
+        sqlite3TreeViewExprList(pView, pFarg, pWin!=0, 0);
       }
+#ifndef SQLITe_OMIT_WINDOWFUNC
+      if( pWin ){
+        sqlite3TreeViewWindow(pView, pWin, 0);
+      }
+#endif
       break;
     }
 #ifndef SQLITE_OMIT_SUBQUERY

From 6cbb4c936c39acceb7a2181037f2d6e33badc32e Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 10 Jul 2018 06:47:07 +0000
Subject: [PATCH 152/154] Enhance the sqlite3ExprCompare() routine so that it
 knows to compare the OVER clause of window functions.

FossilOrigin-Name: 0a7649afebc9349bf44a0e3588e81ab595ea85be1c70de08859ea76a7b271f62
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/expr.c    |  8 ++++++++
 3 files changed, 15 insertions(+), 7 deletions(-)

diff --git a/manifest b/manifest
index 75f9e4c813..8859ed535f 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Enhance\sthe\sTreeView\smechanism\sso\sthat\sit\sshows\sthe\swindow\sfunction\ndata\sstructures\sas\spart\sof\sthe\sabstract\ssyntax\stree.
-D 2018-07-10T06:32:53.781
+C Enhance\sthe\ssqlite3ExprCompare()\sroutine\sso\sthat\sit\sknows\sto\scompare\sthe\nOVER\sclause\sof\swindow\sfunctions.
+D 2018-07-10T06:47:07.491
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -447,7 +447,7 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 4aa7f26198934dbd002e69418220eae3dbc71b010bbac32bd78faf86b52ce6c3
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
-F src/expr.c 7e257eeffe9553c10a6ac0a1f0177bf740c4da834e7d6e2cbb7d3ebaa3d7f3e1
+F src/expr.c e5861888a30d63611f59861d9b8c7adb591f04a6924d3683484e4f47ce59e148
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
 F src/func.c 7c288b4ce309b5a8b8473514b88e1f8e69a80134509a8c0db8e39c858e367e7f
@@ -1746,7 +1746,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P a9a307265b0626b3e9df69534c8eacf18413ea31784c9d931eadcff515d3dd84
-R 55502084a84a2e2884b7442095b4ff11
+P a2c0e1bec0d8a6f982572c4c5a8166319b8db0fe586057f7900f0ab72af6554e
+R d511286d824e78f6045de8ea27dbb818
 U drh
-Z c5933f33cc5508d96ff93ada77827be8
+Z 254538629d66367cc0a68844114b45e9
diff --git a/manifest.uuid b/manifest.uuid
index 4d5e5ad26d..04ad7c7822 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-a2c0e1bec0d8a6f982572c4c5a8166319b8db0fe586057f7900f0ab72af6554e
\ No newline at end of file
+0a7649afebc9349bf44a0e3588e81ab595ea85be1c70de08859ea76a7b271f62
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index 24d1cb4109..10a1dc67f6 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -4951,6 +4951,14 @@ int sqlite3ExprCompare(Parse *pParse, Expr *pA, Expr *pB, int iTab){
       if( pA->iTable!=pB->iTable 
        && (pA->iTable!=iTab || NEVER(pB->iTable>=0)) ) return 2;
     }
+#ifndef SQLITE_OMIT_WINDOWFUNC
+    if( pA->pWin!=0 ){
+      if( pB->pWin==0 ) return 2;
+      if( sqlite3WindowCompare(pParse,pA->pWin,pB->pWin)!=0 ) return 2;
+    }else if( pB->pWin!=0 ){
+      return 2;
+    }
+#endif
   }
   return 0;
 }

From 38630ae1de36db73c4610348592bf616ac116529 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 10 Jul 2018 07:25:42 +0000
Subject: [PATCH 153/154] Assert that if two functions compare equal in every
 other way, then they must both have OVER clauses, or neither has an OVER
 clause.  Use this fact to simplify expression comparison.

FossilOrigin-Name: 52559ad58ce412af40f1f34e80bfe9fadc6a93f3ca0cfaf69f94d615bbb99831
---
 manifest      | 12 ++++++------
 manifest.uuid |  2 +-
 src/expr.c    | 13 ++++++++++---
 3 files changed, 17 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index 8859ed535f..2c127c6bb7 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Enhance\sthe\ssqlite3ExprCompare()\sroutine\sso\sthat\sit\sknows\sto\scompare\sthe\nOVER\sclause\sof\swindow\sfunctions.
-D 2018-07-10T06:47:07.491
+C Assert\sthat\sif\stwo\sfunctions\scompare\sequal\sin\severy\sother\sway,\sthen\sthey\nmust\sboth\shave\sOVER\sclauses,\sor\sneither\shas\san\sOVER\sclause.\s\sUse\sthis\sfact\nto\ssimplify\sexpression\scomparison.
+D 2018-07-10T07:25:42.133
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -447,7 +447,7 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 4aa7f26198934dbd002e69418220eae3dbc71b010bbac32bd78faf86b52ce6c3
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
-F src/expr.c e5861888a30d63611f59861d9b8c7adb591f04a6924d3683484e4f47ce59e148
+F src/expr.c 61ae1a229b8c0b4a44314fcbceecbd8801a4e784cd8c5d6d78da86fb5a0c3ddb
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
 F src/func.c 7c288b4ce309b5a8b8473514b88e1f8e69a80134509a8c0db8e39c858e367e7f
@@ -1746,7 +1746,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P a2c0e1bec0d8a6f982572c4c5a8166319b8db0fe586057f7900f0ab72af6554e
-R d511286d824e78f6045de8ea27dbb818
+P 0a7649afebc9349bf44a0e3588e81ab595ea85be1c70de08859ea76a7b271f62
+R b915cbd3a3a1dcccf34bbc81d9e850ba
 U drh
-Z 254538629d66367cc0a68844114b45e9
+Z b899de7df69efd022bef2da0986ac912
diff --git a/manifest.uuid b/manifest.uuid
index 04ad7c7822..dfefb64c06 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-0a7649afebc9349bf44a0e3588e81ab595ea85be1c70de08859ea76a7b271f62
\ No newline at end of file
+52559ad58ce412af40f1f34e80bfe9fadc6a93f3ca0cfaf69f94d615bbb99831
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index 10a1dc67f6..a329ef4138 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -4952,11 +4952,18 @@ int sqlite3ExprCompare(Parse *pParse, Expr *pA, Expr *pB, int iTab){
        && (pA->iTable!=iTab || NEVER(pB->iTable>=0)) ) return 2;
     }
 #ifndef SQLITE_OMIT_WINDOWFUNC
+    /* Justification for the assert():
+    /* window functions have p->op==TK_FUNCTION but aggregate functions
+    ** have p->op==TK_AGG_FUNCTION.  So any comparison between an aggregate
+    ** function and a window function should have failed before reaching
+    ** this point.  And, it is not possible to have a window function and
+    ** a scalar function with the same name and number of arguments.  So
+    ** if we reach this point, either A and B both window functions or
+    ** neither are a window functions. */
+    assert( (pA->pWin==0)==(pB->pWin==0) );
+
     if( pA->pWin!=0 ){
-      if( pB->pWin==0 ) return 2;
       if( sqlite3WindowCompare(pParse,pA->pWin,pB->pWin)!=0 ) return 2;
-    }else if( pB->pWin!=0 ){
-      return 2;
     }
 #endif
   }

From eee08611555199aa56aa99f30e0033a124fd9ff7 Mon Sep 17 00:00:00 2001
From: drh <drh@noemail.net>
Date: Tue, 10 Jul 2018 07:39:23 +0000
Subject: [PATCH 154/154] Fix a harmless warning about comment formatting in
 the previous check-in.  Simplify the ORDER BY dereferencing logic so that it
 avoids unreachable branches.

FossilOrigin-Name: 0f6ec605e131ab3d53b9df32af0a3207146a9abbd22dcabd6ef050b92f96735d
---
 manifest      | 14 +++++++-------
 manifest.uuid |  2 +-
 src/expr.c    |  2 +-
 src/resolve.c |  4 +++-
 4 files changed, 12 insertions(+), 10 deletions(-)

diff --git a/manifest b/manifest
index 2c127c6bb7..a8b99c112b 100644
--- a/manifest
+++ b/manifest
@@ -1,5 +1,5 @@
-C Assert\sthat\sif\stwo\sfunctions\scompare\sequal\sin\severy\sother\sway,\sthen\sthey\nmust\sboth\shave\sOVER\sclauses,\sor\sneither\shas\san\sOVER\sclause.\s\sUse\sthis\sfact\nto\ssimplify\sexpression\scomparison.
-D 2018-07-10T07:25:42.133
+C Fix\sa\sharmless\swarning\sabout\scomment\sformatting\sin\sthe\sprevious\ncheck-in.\s\sSimplify\sthe\sORDER\sBY\sdereferencing\slogic\sso\sthat\sit\savoids\nunreachable\sbranches.
+D 2018-07-10T07:39:23.889
 F .fossil-settings/empty-dirs dbb81e8fc0401ac46a1491ab34a7f2c7c0452f2f06b54ebb845d024ca8283ef1
 F .fossil-settings/ignore-glob 35175cdfcf539b2318cb04a9901442804be81cd677d8b889fcc9149c21f239ea
 F Makefile.in 0a3a6c81e6fcb969ff9106e882f0a08547014ba463cb6beca4c4efaecc924ee6
@@ -447,7 +447,7 @@ F src/date.c ebe1dc7c8a347117bb02570f1a931c62dd78f4a2b1b516f4837d45b7d6426957
 F src/dbpage.c 4aa7f26198934dbd002e69418220eae3dbc71b010bbac32bd78faf86b52ce6c3
 F src/dbstat.c edabb82611143727511a45ca0859b8cd037851ebe756ae3db289859dd18b6f91
 F src/delete.c 4c8c7604277a2041647f96b78f4b9a47858e9217e4fb333d35e7b5ab32c5b57f
-F src/expr.c 61ae1a229b8c0b4a44314fcbceecbd8801a4e784cd8c5d6d78da86fb5a0c3ddb
+F src/expr.c 0abe1e6931ea3527549993d66a4e010231059c79a62cd9ed51c6ca5cc5b87c30
 F src/fault.c 460f3e55994363812d9d60844b2a6de88826e007
 F src/fkey.c b1da9ef8dc834603bb0d28972378a7ce65897847f9a1e89ab800bbdf24c788ee
 F src/func.c 7c288b4ce309b5a8b8473514b88e1f8e69a80134509a8c0db8e39c858e367e7f
@@ -493,7 +493,7 @@ F src/pragma.h bb83728944b42f6d409c77f5838a8edbdb0fe83046c5496ffc9602b40340a324
 F src/prepare.c e966ecc97c3671ff0e96227c8c877b83f2d33ea371ee190bbf1698b36b5605c0
 F src/printf.c 7f6f3cba8e0c49c19e30a1ff4e9aeda6e06814dcbad4b664a69e1b6cb6e7e365
 F src/random.c 80f5d666f23feb3e6665a6ce04c7197212a88384
-F src/resolve.c 1f965d00b4c26b7eb886b90c687069f5db0d05157dbc1ca406fe88e990eac671
+F src/resolve.c 797088662ed61102485e3070ba3b3f7828bd5ef6a588223ba6865d77d52f6cea
 F src/rowset.c 7b7e7e479212e65b723bf40128c7b36dc5afdfac
 F src/select.c c06d56c1d5931456b2507ac8cf8205e83492a309b685e3978953f0b0156af191
 F src/shell.c.in f1c79c537117ee61317a5ed85cdbcb854998cd690eb34ab803779358a2ace780
@@ -1746,7 +1746,7 @@ F vsixtest/vsixtest.tcl 6a9a6ab600c25a91a7acc6293828957a386a8a93
 F vsixtest/vsixtest.vcxproj.data 2ed517e100c66dc455b492e1a33350c1b20fbcdc
 F vsixtest/vsixtest.vcxproj.filters 37e51ffedcdb064aad6ff33b6148725226cd608e
 F vsixtest/vsixtest_TemporaryKey.pfx e5b1b036facdb453873e7084e1cae9102ccc67a0
-P 0a7649afebc9349bf44a0e3588e81ab595ea85be1c70de08859ea76a7b271f62
-R b915cbd3a3a1dcccf34bbc81d9e850ba
+P 52559ad58ce412af40f1f34e80bfe9fadc6a93f3ca0cfaf69f94d615bbb99831
+R af867e8f2830341644b32312137b8d37
 U drh
-Z b899de7df69efd022bef2da0986ac912
+Z 9b7ea72c6158564396d1f1dc7cb1a0c3
diff --git a/manifest.uuid b/manifest.uuid
index dfefb64c06..26c6dfd311 100644
--- a/manifest.uuid
+++ b/manifest.uuid
@@ -1 +1 @@
-52559ad58ce412af40f1f34e80bfe9fadc6a93f3ca0cfaf69f94d615bbb99831
\ No newline at end of file
+0f6ec605e131ab3d53b9df32af0a3207146a9abbd22dcabd6ef050b92f96735d
\ No newline at end of file
diff --git a/src/expr.c b/src/expr.c
index a329ef4138..e6df332fb8 100644
--- a/src/expr.c
+++ b/src/expr.c
@@ -4953,7 +4953,7 @@ int sqlite3ExprCompare(Parse *pParse, Expr *pA, Expr *pB, int iTab){
     }
 #ifndef SQLITE_OMIT_WINDOWFUNC
     /* Justification for the assert():
-    /* window functions have p->op==TK_FUNCTION but aggregate functions
+    ** window functions have p->op==TK_FUNCTION but aggregate functions
     ** have p->op==TK_AGG_FUNCTION.  So any comparison between an aggregate
     ** function and a window function should have failed before reaching
     ** this point.  And, it is not possible to have a window function and
diff --git a/src/resolve.c b/src/resolve.c
index 13deeca92d..5c1dd09bef 100644
--- a/src/resolve.c
+++ b/src/resolve.c
@@ -1245,11 +1245,13 @@ static int resolveOrderGroupBy(
       if( sqlite3ExprCompare(0, pE, pSelect->pEList->a[j].pExpr, -1)==0 ){
 #ifndef SQLITE_OMIT_WINDOWFUNC
         if( pE->pWin ){
+          /* Since this window function is being changed into a reference
+          ** to the same window function the result set, remove the instance
+          ** of this window function from the Select.pWin list. */
           Window **pp;
           for(pp=&pSelect->pWin; *pp; pp=&(*pp)->pNextWin){
             if( *pp==pE->pWin ){
               *pp = (*pp)->pNextWin;
-              break;
             }    
           }
         }