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;
int main() {
  long long t, tc;
  cin >> tc;
  for (t = 1; t <= tc; t++) {
    long long i, j, cur, moove;
    string s;
    long long arr[11][11];
    long long check[15] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
    for (i = 1; i <= 9; i++) {
      cin >> s;
      for (j = 0; j < s.size(); j++) {
        arr[i][j + 1] = s[j] - 48;
      }
    }
    cur = 1;
    i = 1, j = cur;
    for (moove = 1; moove <= 9;) {
      while (i <= 9 && j <= 9) {
        if (arr[i][j] != 9)
          arr[i][j] = arr[i][j] + 1;
        else
          arr[i][j] = 1;
        i++;
        j += 3;
      }
      cur++;
      j = cur;
      moove = i;
    }
    for (i = 1; i <= 9; i++) {
      for (j = 1; j <= 9; j++) {
        cout << arr[i][j];
      }
      cout << endl;
    }
  }
  return 0;
}