Sudoku POJ 2676 [dfs]

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

Sample Output

143628579
572139468
986754231
391542786
468917352
725863914
237481695
619275843
854396127

给你一个9*9的方格，要求每行每列的9个数字都不相同，然后将这方格，分成9个3*3的小方格，要求每个小方格里面的数字也都不相同。现在给你一些数字，0代表你要添加的数字，使其形成一个数独。

#include <bits/stdc++.h>
using namespace std;
//typedef long long ll;
using ll = long long;
const ll inf = 4e18+10;
const int mod = 1000000007;
const int mx = 200010; //check the limits, dummy
typedef pair<int, int> pa;
const double PI = acos(-1);
ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
#define swa(a,b) a^=b^=a^=b
#define re(i,a,b) for(int i=(a),_=(b);i<_;i++)
#define rb(i,a,b) for(int i=(b),_=(a);i>=_;i--)
#define clr(a) memset(a, 0, sizeof(a))
#define lowbit(x) ((x)&(x-1))
#define mkp make_pair
void sc(int& x) { scanf("%d", &x); }void sc(int64_t& x) { scanf("%lld", &x); }void sc(double& x) { scanf("%lf", &x); }void sc(char& x) { scanf(" %c", &x); }void sc(char* x) { scanf("%s", x); }
ll  m, n,y,z,k,sum=0,ans=0,t,num;
int vis[200][2], mp[10][10];
bool check(int x, int y,int k) {
    re(i, 0, 9) {
        if (mp[i][y] == k)return 0;
        if (mp[x][i] == k)return 0;
    }
    int xx = (x / 3) * 3,yy=(y/3)*3;
    re(i, 0, 3)re(j, 0, 3)if (mp[i + xx][j + yy] == k)return 0;
    return 1;
}
int dfs(int dx) {
    if (dx < 0)return 1;
    re(i, 1, 10) {
        int x = vis[dx][0], y = vis[dx][1];
        if (check(x, y, i)) {
            mp[x][y] = i;
            if (dfs(dx - 1))return 1;
            mp[x][y] = 0;
        }
    }
    return 0;
}
int main()
{
    ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    cin >> t;
    while (t--)
    {
        num = 0;
        char c;
        re(i,0,9)
            re(j, 0, 9) {
            cin >> c;
            mp[i][j] = c - '0';
            if (mp[i][j] == 0) {
                vis[num][0] = i;
                vis[num++][1] = j;
            }
        }
        dfs(num - 1);
        re(i, 0, 9) {
            re(j, 0, 9)cout << mp[i][j]; cout << endl;
        }
    }    
    return 0;
}