From d758f2f6d9806f91b2e91b9e5eff4b5bca729f45 Mon Sep 17 00:00:00 2001
From: pcn3xiqjt <2556107223@qq.com>
Date: Tue, 31 Oct 2023 09:39:28 +0800
Subject: [PATCH] ADD file via upload

---
 4补充矩阵.c | 116 ++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 116 insertions(+)
 create mode 100644 4补充矩阵.c

diff --git a/4补充矩阵.c b/4补充矩阵.c
new file mode 100644
index 0000000..e925f14
--- /dev/null
+++ b/4补充矩阵.c
@@ -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;
+}