Poj 2676 Sudoku

Sudoku

Time Limit: 2000MS Memory Limit: 65536KTotal Submissions: 16554 Accepted: 8075 Special Judge

Description

Sudoku is a very simple task. A square table with 9 rows and 9 columns is divided to 9 smaller squares 3x3 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 3x3 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

Source

Southeastern Europe 2005

思路：纯暴力的dfs搜索，对0，也就是还没有数字的格子进行判断，可以就继续下一个格子，不行就换数字，再不行就回溯，不过

这里要注意，如果遍历整个图的话，会超时，所以只需要记录下空格的就行了。

AC代码如下：

#include <iostream>#include <cstring>using namespace std;const int maxn=15;int mp[maxn][maxn];bool ok=false;struct Node{    int x,y;}q[maxn*maxn];int cnt=0;bool safe(int i,int cn){   // if(mp[x][y]) return false;    int x=q[cn].x,y=q[cn].y;    for(int j=0;j<9;j++)        if(mp[x][j]==i) return false;    for(int j=0;j<9;j++)        if(mp[j][y]==i) return false;    int tx=x/3;    int ty=y/3;    for(int j=(tx)*3;j<(tx)*3+3;j++){        for(int k=(ty)*3;k<(ty)*3+3;k++)            if(mp[j][k]==i) return false;    }    return true;}void show(){      for(int i=0;i<9;i++){            for(int j=0;j<9;j++)            cout<<mp[i][j];        cout<<endl;    }}void dfs(int cn){    if(ok) return ;    if(cn<0){        ok=true;        show();        return ;    }    int x=q[cn].x,y=q[cn].y;    for(int i=1;i<=9;i++){        if(safe(i,cn)){            mp[x][y]=i;            if(ok) return ;            dfs(cn-1);        }    }    if(ok) return ;    mp[x][y]=0;return ;}int main(){    int t;    cin>>t;    while(t--){        ok=false;        cnt=0;        memset(mp,0,sizeof(mp));        for(int i=0;i<9;i++){            for(int j=0;j<9;j++){                char xx;                cin>>xx;                mp[i][j]=xx-'0';                if(mp[i][j]==0){                        Node tmp;                        tmp.x=i,tmp.y=j;                    q[cnt++]=tmp;                }            }        }            dfs(cnt-1);        }    return 0;}