Add 第四题（guan）

Add 判断数独是否合法并且填空
Add 判断数独是否合法
5 changed files with 382 additions and 0 deletions
--- a/69
+++ b/69
@ -0,0 +1,69 @@
+#include <stdio.h>
+void 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;
+			
+		}
+	}
+	
+}
+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);
+	correct(board1[9][9]);
+	
+	return 0;
+}
--- a/116
+++ b/116
@ -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;
+}
--- a/31
+++ b/31
@ -0,0 +1,31 @@
+#include <stdio.h>
+int main(){
+	int board[9][9]={{5,3,4,6,7,8,9,1,2},		
+			   {6,7,2,1,9,5,3,4,8},
+			   {1,9,8,3,4,2,5,6,7},
+			   {8,5,9,7,6,1,4,2,3},
+			   {4,2,6,8,5,3,7,9,1},
+			   {7,1,3,9,2,4,8,5,6},
+			   {9,6,1,5,3,7,2,8,4},
+			   {2,8,7,4,1,9,6,3,5},
+			   {3,4,5,2,8,6,1,7,9}};
+	int i=0,j=0,k=0,s=0;
+	printf("|---|---|---|---|---|---|\n");
+	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;
+		}
+	}
+	
+	
+	return 0;
+} 
--- a/116
+++ b/116
@ -0,0 +1,116 @@
+#include <stdio.h>
+int correct(int board[9][9]){//判断是否合法 
+	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++){//遍历 
+			int index=1<<(board[i][j]-1);//设置初始位掩码 
+			int blockindex=i/3*3+j/3;//分块 
+			if(board[i][j]!=0){//需要判断的位置 
+				if(row[i]&index){//行合法 
+					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;//判断一个条件不成立即可 所以位掩码恢复 
+				if(col[j]&index){//列合法 
+					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){//块合法 
+					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");//以上都通过 成立 
+	return 1;
+	
+}
+int isSafe(int board[9][9],int row,int col,int num){//判断是否合法的函数 
+	int x,i,j;
+	for (x=0;x<=8;x++)//遍历行合法 
+    	if(board[row][x]==num)
+            return 0;
+    for (x=0;x<= 8;x++)//遍历列合法 
+        if(board[x][col]==num)
+            return 0;
+    int sRow=row-row%3,sCol=col-col%3;//初始化块的起始行与列 
+    for(i=0;i<3;i++)
+        for(j=0;j<3;j++)//遍历每个块 
+            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){//需要填空的部分 
+				for(num=1;num<=9;++num){
+					if(isSafe(board,i,j,num)){//填空中也要满足数独的定义 
+						board[i][j]=num;
+						if(solve(board)){//函数嵌套 
+							return 1;
+						}
+						board[i][j]=0;
+					}
+					
+				}
+				return 0;//遍历后无法填出正确答案 
+			}
+		}
+	}
+	//return 1;
+}
+void print(int board[9][9]){//格式化输出 
+	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},//初始化矩阵 
+			   {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);//格式化输出原矩阵 
+	if(correct(board1)){//判断是否合法 
+		if(solve(board1)){//是否有解 
+			printf("The solution of Sudoku matrix:\n");
+			print(board1);//格式化输出解 
+		}else{
+			printf("No solutions!\n");//无解 
+		}
+		
+	}
+	
+	return 0;
+}
--- a/50
+++ b/50
@ -0,0 +1,50 @@
+#include <stdio.h>
+#include <time.h>
+#include <stdlib.h>
+void swap(int *a,int *b){
+	int temp;
+	temp=*a;
+	*a=*b;
+	*b=temp;
+}
+void shuffle(int *array,int size){
+	int i;
+	int j;
+	for(i=8;i>0;i--){
+		j=rand()%(size+1);
+		swap(&array[i],&array[j]);
+	}
+}
+int main(){
+	int board[9][9]={0};
+	int number[9]={1,2,3,4,5,6,7,8,9};
+	srand(time(NULL));
+	int m=rand()%10,n=rand()%10,t=rand()%10;
+	int i=0,j=0,k=0,s=0;
+	for(k=0;k<3;k++){
+		shuffle(number,9);
+		int column[3]={0,3,6};
+		for(i=0;i<3;i++){
+			for(j=0;j<3;j++){
+				board[k*3+i][column[j]]=number[i*3+j];
+			}
+		}
+	}
+	printf("|---|---|---|---|---|---|\n");
+	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;
+		}
+			
+	}
+	return 0;
+}
Author	SHA1	Message	Date
pjywuv8b9	0a6ac35e9a	Add 第四题（guan）	3 years ago
pjywuv8b9	00812c279c	Add 判断数独是否合法并且填空	3 years ago
pjywuv8b9	500fed6fcd	Add 判断数独是否合法	3 years ago
pjywuv8b9	988bf86a4e	Add 随机生成数组	3 years ago
pjywuv8b9	0fe85c1ca4	Add 格式化输出数独	3 years ago