poj2676 Sudoku

Description

Sudoku is a very simple task. A square table with 9 rows and 9 columns is divided to 9 smaller squares 3×3 as shown on the Figure. In some of the cells are written decimal digits from 1 to 9. The other cells are empty. The goal is to fill the empty cells with decimal digits from 1 to 9, one digit per cell, in such way that in each row, in each column and in each marked 3×3 subsquare, all the digits from 1 to 9 to appear. Write a program to solve a given Sudoku-task.

Input

The input data will start with the number of the test cases. For each test case, 9 lines follow, corresponding to the rows of the table. On each line a string of exactly 9 decimal digits is given, corresponding to the cells in this line. If a cell is empty it is represented by 0.

Output

For each test case your program should print the solution in the same format as the input data. The empty cells have to be filled according to the rules. If solutions is not unique, then the program may print any one of them.

Sample Input

1103000509002109400000704000300502006060000050700803004000401000009205800804000107

Sample Output

143628579572139468986754231391542786468917352725863914237481695619275843854396127这道题可以用深搜,题意是补完数独中的空格数,0代表空格。用了三个剪枝,,同行,同列还有同一个大格子的数字不能重复。#include<stdio.h>#include<string.h>char s[12][12];int row[12][12],col[12][12],dage[12][12],map[12][12],flag;void dfs(int x,int y){int i,j,k;if(x==10){flag=1;return;}if(map[x][y]!=0){if(y==9){dfs(x+1,1);}else dfs(x,y+1);if(flag)return;}else if(map[x][y]==0){ k=(x-1)/3*3+(y-1)/3+1;for(i=1;i<=9;i++){if(row[x][i]==0 && col[y][i]==0 && dage[k][i]==0){map[x][y]=i;row[x][i]=1;col[y][i]=1;dage[k][i]=1;if(y==9){dfs(x+1,1);}else dfs(x,y+1); if(flag==1)return; map[x][y]=0;row[x][i]=0;col[y][i]=0;dage[k][i]=0;}}}}int main(){int n,m,i,j,T,k,flag1;scanf("%d",&T);while(T–){memset(row,0,sizeof(row));memset(col,0,sizeof(col));memset(dage,0,sizeof(dage));memset(map,0,sizeof(map));flag1=1;for(i=1;i<=9;i++){scanf("%s",s[i]+1);for(j=1;j<=9;j++){map[i][j]=s[i][j]-‘0’;k=(i-1)/3*3+(j-1)/3+1;if(map[i][j]!=0){if(row[i][map[i][j]]!=0 || col[j][map[i][j]]!=0 || dage[k][map[i][j]]!=0){flag1=0;break;}row[i][map[i][j]]=1;col[j][map[i][j]]=1;dage[k][map[i][j]]=1;}}if(flag1==0)break;}if(flag1==0){for(i=1;i<=9;i++){printf("%s\n",s[i]+1);}}flag=0;dfs(1,1);if(flag==0){for(i=1;i<=9;i++){printf("%s\n",s[i]+1);}}else{for(i=1;i<=9;i++){for(j=1;j<=9;j++){printf("%d",map[i][j]);}printf("\n");}}}return 0;}

你的脸是为了呈现上帝赐给人类最贵重的礼物–微笑,

poj2676 Sudoku

相关文章:

你感兴趣的文章:

标签云: