Problem: You are given a correct solution of the sudoku puzzle. If you don't know what is the sudoku, you can read about it [here](http://tiny.cc/636xmz).

The picture showing the correct sudoku solution:

<image>

Blocks are bordered with bold black color.

Your task is to change at most 9 elements of this field (i.e. choose some 1 ≤ i, j ≤ 9 and change the number at the position (i, j) to any other number in range [1; 9]) to make it anti-sudoku. The anti-sudoku is the 9 × 9 field, in which:

  * Any number in this field is in range [1; 9]; 
  * each row contains at least two equal elements; 
  * each column contains at least two equal elements; 
  * each 3 × 3 block (you can read what is the block in the link above) contains at least two equal elements. 



It is guaranteed that the answer exists.

You have to answer t independent test cases.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow.

Each test case consists of 9 lines, each line consists of 9 characters from 1 to 9 without any whitespaces — the correct solution of the sudoku puzzle.

Output

For each test case, print the answer — the initial field with at most 9 changed elements so that the obtained field is anti-sudoku. If there are several solutions, you can print any. It is guaranteed that the answer exists.

Example

Input


1
154873296
386592714
729641835
863725149
975314628
412968357
631457982
598236471
247189563


Output


154873396
336592714
729645835
863725145
979314628
412958357
631457992
998236471
247789563

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const long long inf = 1e18;
const long long M = 1000000007;
const long long N = 3e5 + 7;
signed main() {
  long long tc, i, j;
  cin >> tc;
  while (tc--) {
    long long n = 9;
    char s[10][10];
    for (i = 0; i <= n; i++) {
      for (j = 0; j <= n; j++) {
        s[i][j] = '\0';
      }
    }
    for (i = 1; i <= n; i++) {
      for (j = 1; j <= n; j++) {
        cin >> s[i][j];
      }
    }
    vector<pair<long long, long long> > v{
        {1, 1}, {4, 2}, {7, 3}, {2, 4}, {3, 7}, {5, 5}, {6, 8}, {8, 6}, {9, 9}};
    long long cnt = 0;
    s[1][1] = s[1][2];
    s[4][2] = s[4][3];
    s[2][4] = s[1][4];
    s[3][7] = s[3][6];
    s[7][3] = s[7][4];
    s[5][5] = s[5][4];
    s[9][9] = s[9][8];
    s[6][8] = s[6][9];
    s[8][6] = s[8][9];
    for (i = 1; i <= n; i++) {
      for (j = 1; j <= n; j++) {
        cout << s[i][j];
      }
      cout << "\n";
    }
  }
}