From 00812c279c8ef03c1b0ff281be147f63bbbefa97 Mon Sep 17 00:00:00 2001
From: pjywuv8b9 <3314018306@qq.com>
Date: Tue, 31 Oct 2023 16:11:08 +0800
Subject: [PATCH] =?UTF-8?q?Add=20=E5=88=A4=E6=96=AD=E6=95=B0=E7=8B=AC?=
 =?UTF-8?q?=E6=98=AF=E5=90=A6=E5=90=88=E6=B3=95=E5=B9=B6=E4=B8=94=E5=A1=AB?=
 =?UTF-8?q?=E7=A9=BA?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 判断数独是否合法并且填空 | 116 +++++++++++++++++++++++++++
 1 file changed, 116 insertions(+)
 create mode 100644 判断数独是否合法并且填空

diff --git a/判断数独是否合法并且填空 b/判断数独是否合法并且填空
new file mode 100644
index 0000000..c097c97
--- /dev/null
+++ b/判断数独是否合法并且填空
@@ -0,0 +1,116 @@
+#include <stdio.h>
+int correct(int board[9][9]){
+	int col[9]={0},row[9]={0},block[9]={0};
+	int i,j;
+	for(i=0;i<9;++i){
+		for(j=0;j<9;j++){
+			int index=1<<(board[i][j]-1);
+			int blockindex=i/3*3+j/3;
+			if(board[i][j]!=0){
+				if(row[i]&index){
+					printf("False:Invalid initial Sudoku matrix!\n");
+					printf("The number %d in the row %d has been used!",board[i][j],i+1);
+					return 0;
+				}
+				row[i]=index;
+				if(col[j]&index){
+					printf("False:Invalid initial Sudoku matrix!\n");
+					printf("The number %d in the rol %d has been used!",board[i][j],j+1);
+					return 0;
+				}
+				col[j]=index;
+				if(block[blockindex]&index){
+					printf("False:Invalid initial Sudoku matrix!\n");
+					printf("The number %d in the block %d has been used!",board[i][j],blockindex+1);
+					return 0;
+				}
+				block[blockindex]=index;
+			}
+			
+			
+			
+		}
+	}
+	printf("True:Valid initial Sudoku matrix!\n");
+	return 1;
+	
+}
+int isSafe(int board[9][9], int row, int col, int num) {
+	int x,i,j;
+	for (x = 0; x <= 8; x++)
+        if (board[row][x] == num)
+            return 0;
+    for (x = 0; x <= 8; x++)
+        if (board[x][col] == num)
+            return 0;
+    int sRow = row - row % 3, sCol = col - col % 3;
+    for (i = 0; i < 3; i++)
+        for (j = 0; j < 3; j++)
+            if (board[i + sRow][j + sCol] == num)
+                return 0;
+    return 1;
+}
+int solve(int board[9][9]){
+	int num;
+	int i=0,j=0;
+	for(i=0;i<9;i++){
+		for(j=0;j<9;j++){
+			if(board[i][j]==0){
+				for(num=1;num<=9;++num){
+					if(isSafe(board,i,j,num)){
+						board[i][j]=num;
+						if(solve(board)){
+							return 1;
+						}
+						board[i][j]=0;
+					}
+					
+				}
+				return 0;
+			}
+		}
+	}
+	return 1;
+}
+void print(int board[9][9]){
+	printf("|---|---|---|---|---|---|\n");
+	int i=0,j=0,s=0,k=0;
+	for(i=0;i<9;++i){
+		for(j=0;j<9;j++){
+			while(j%3==0){
+				printf("| ");
+				break;
+			}
+			printf("%d ",board[i][j]);
+		}
+		printf("|\n");
+		while((i+1)%3==0){
+			printf("|---|---|---|---|---|---|\n");
+			break;
+		}
+	}
+}
+int main(){
+	int board1[9][9]={{5, 3, 0, 0, 7, 0, 0, 0, 0},
+			   {6, 0, 0, 1, 9, 5, 0, 0, 0},
+			   {0, 9, 8, 0, 0, 0, 0, 6, 0},
+			   {8, 0, 0, 0, 6, 0, 0, 0, 3},
+		  	   {4, 0, 0, 8, 0, 3, 0, 0, 1},
+			   {7, 0, 0, 0, 2, 0, 0, 0, 6},
+			   {0, 6, 0, 0, 0, 0, 2, 8, 0},
+			   {0, 0, 0, 4, 1, 9, 0, 0, 5},
+			   {0, 0, 0, 0, 8, 0, 0, 7, 9}};
+	printf("The original Sudoku matrix:\n");
+	print(board1);
+	if(correct(board1)){
+		if(solve(board1)){
+			printf("The solution of Sudoku matrix:\n");
+			print(board1);
+		}else{
+			printf("No solutions!\n");
+		}
+		
+	}
+	
+	return 0;
+}
\ No newline at end of file