update amalgamation code
diff --git a/sqlite3-binding.c b/sqlite3-binding.c
index 44d91d9..78b6f5b 100644
--- a/sqlite3-binding.c
+++ b/sqlite3-binding.c
@@ -1,7 +1,7 @@
 #ifndef USE_LIBSQLITE3
 /******************************************************************************
 ** This file is an amalgamation of many separate C source files from SQLite
-** version 3.50.3.  By combining all the individual C code files into this
+** version 3.50.4.  By combining all the individual C code files into this
 ** single large file, the entire code can be compiled as a single translation
 ** unit.  This allows many compilers to do optimizations that would not be
 ** possible if the files were compiled separately.  Performance improvements
@@ -19,7 +19,7 @@
 ** separate file. This file contains only code for the core SQLite library.
 **
 ** The content in this amalgamation comes from Fossil check-in
-** 3ce993b8657d6d9deda380a93cdd6404a8c8 with changes in files:
+** 4d8adfb30e03f9cf27f800a2c1ba3c48fb4c with changes in files:
 **
 **    
 */
@@ -466,9 +466,9 @@
 ** [sqlite3_libversion_number()], [sqlite3_sourceid()],
 ** [sqlite_version()] and [sqlite_source_id()].
 */
-#define SQLITE_VERSION        "3.50.3"
-#define SQLITE_VERSION_NUMBER 3050003
-#define SQLITE_SOURCE_ID      "2025-07-17 13:25:10 3ce993b8657d6d9deda380a93cdd6404a8c8ba1b185b2bc423703e41ae5f2543"
+#define SQLITE_VERSION        "3.50.4"
+#define SQLITE_VERSION_NUMBER 3050004
+#define SQLITE_SOURCE_ID      "2025-07-30 19:33:53 4d8adfb30e03f9cf27f800a2c1ba3c48fb4ca1b08b0f5ed59a4d5ecbf45e20a3"
 
 /*
 ** CAPI3REF: Run-Time Library Version Numbers
@@ -19441,6 +19441,7 @@
     Table *pTab;           /* TK_COLUMN: Table containing column. Can be NULL
                            ** for a column of an index on an expression */
     Window *pWin;          /* EP_WinFunc: Window/Filter defn for a function */
+    int nReg;              /* TK_NULLS: Number of registers to NULL out */
     struct {               /* TK_IN, TK_SELECT, and TK_EXISTS */
       int iAddr;             /* Subroutine entry address */
       int regReturn;         /* Register used to hold return address */
@@ -21475,6 +21476,7 @@
 SQLITE_PRIVATE void sqlite3ExprCodeCopy(Parse*, Expr*, int);
 SQLITE_PRIVATE void sqlite3ExprCodeFactorable(Parse*, Expr*, int);
 SQLITE_PRIVATE int sqlite3ExprCodeRunJustOnce(Parse*, Expr*, int);
+SQLITE_PRIVATE void sqlite3ExprNullRegisterRange(Parse*, int, int);
 SQLITE_PRIVATE int sqlite3ExprCodeTemp(Parse*, Expr*, int*);
 SQLITE_PRIVATE int sqlite3ExprCodeTarget(Parse*, Expr*, int);
 SQLITE_PRIVATE int sqlite3ExprCodeExprList(Parse*, ExprList*, int, int, u8);
@@ -115242,6 +115244,12 @@
       sqlite3VdbeLoadString(v, target, pExpr->u.zToken);
       return target;
     }
+    case TK_NULLS: {
+      /* Set a range of registers to NULL.  pExpr->y.nReg registers starting
+      ** with target */
+      sqlite3VdbeAddOp3(v, OP_Null, 0, target, target + pExpr->y.nReg - 1);
+      return target;
+    }
     default: {
       /* Make NULL the default case so that if a bug causes an illegal
       ** Expr node to be passed into this function, it will be handled
@@ -115927,6 +115935,25 @@
 }
 
 /*
+** Make arrangements to invoke OP_Null on a range of registers
+** during initialization.
+*/
+SQLITE_PRIVATE SQLITE_NOINLINE void sqlite3ExprNullRegisterRange(
+  Parse *pParse,   /* Parsing context */
+  int iReg,        /* First register to set to NULL */
+  int nReg         /* Number of sequential registers to NULL out */
+){
+  u8 okConstFactor = pParse->okConstFactor;
+  Expr t;
+  memset(&t, 0, sizeof(t));
+  t.op = TK_NULLS;
+  t.y.nReg = nReg;
+  pParse->okConstFactor = 1;
+  sqlite3ExprCodeRunJustOnce(pParse, &t, iReg);
+  pParse->okConstFactor = okConstFactor;
+}
+
+/*
 ** Generate code to evaluate an expression and store the results
 ** into a register.  Return the register number where the results
 ** are stored.
@@ -153176,6 +153203,7 @@
       sqlite3VdbeAddOp2(v, OP_Integer, 0, iAbortFlag);
       VdbeComment((v, "clear abort flag"));
       sqlite3VdbeAddOp3(v, OP_Null, 0, iAMem, iAMem+pGroupBy->nExpr-1);
+      sqlite3ExprNullRegisterRange(pParse, iAMem, pGroupBy->nExpr);
 
       /* Begin a loop that will extract all source rows in GROUP BY order.
       ** This might involve two separate loops with an OP_Sort in between, or
@@ -168471,6 +168499,7 @@
     pNew->u.btree.nEq = 0;
     pNew->u.btree.nBtm = 0;
     pNew->u.btree.nTop = 0;
+    pNew->u.btree.nDistinctCol = 0;
     pNew->nSkip = 0;
     pNew->nLTerm = 0;
     pNew->iSortIdx = 0;
@@ -169539,8 +169568,6 @@
         obSat = obDone;
       }
       break;
-    }else if( wctrlFlags & WHERE_DISTINCTBY ){
-      pLoop->u.btree.nDistinctCol = 0;
     }
     iCur = pWInfo->pTabList->a[pLoop->iTab].iCursor;
 
@@ -257281,7 +257308,7 @@
 ){
   assert( nArg==0 );
   UNUSED_PARAM2(nArg, apUnused);
-  sqlite3_result_text(pCtx, "fts5: 2025-07-17 13:25:10 3ce993b8657d6d9deda380a93cdd6404a8c8ba1b185b2bc423703e41ae5f2543", -1, SQLITE_TRANSIENT);
+  sqlite3_result_text(pCtx, "fts5: 2025-07-30 19:33:53 4d8adfb30e03f9cf27f800a2c1ba3c48fb4ca1b08b0f5ed59a4d5ecbf45e20a3", -1, SQLITE_TRANSIENT);
 }
 
 /*
diff --git a/sqlite3-binding.h b/sqlite3-binding.h
index d65d949..c34235d 100644
--- a/sqlite3-binding.h
+++ b/sqlite3-binding.h
@@ -147,9 +147,9 @@
 ** [sqlite3_libversion_number()], [sqlite3_sourceid()],
 ** [sqlite_version()] and [sqlite_source_id()].
 */
-#define SQLITE_VERSION        "3.50.3"
-#define SQLITE_VERSION_NUMBER 3050003
-#define SQLITE_SOURCE_ID      "2025-07-17 13:25:10 3ce993b8657d6d9deda380a93cdd6404a8c8ba1b185b2bc423703e41ae5f2543"
+#define SQLITE_VERSION        "3.50.4"
+#define SQLITE_VERSION_NUMBER 3050004
+#define SQLITE_SOURCE_ID      "2025-07-30 19:33:53 4d8adfb30e03f9cf27f800a2c1ba3c48fb4ca1b08b0f5ed59a4d5ecbf45e20a3"
 
 /*
 ** CAPI3REF: Run-Time Library Version Numbers