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 int P = 1e9 + 7;
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  int t;
  cin >> t;
  while (t--) {
    int a[9][9];
    for (int i = 0; i < 9; i++) {
      for (int j = 0; j < 9; j++) {
        char c;
        cin >> c;
        a[i][j] = c - '0';
      }
    }
    for (int i = 0; i < 9; i += 3) {
      int k = i / 3, x, cnt[10];
      memset(cnt, 0, sizeof(cnt));
      bool b = false;
      for (x = 1;; x++) {
        b = true;
        for (int j = i; j < i + 3; j++) {
          if (a[j][(j - i) * 3 + k] == x) {
            b = false;
            break;
          }
        }
        if (b) {
          break;
        }
      }
      for (int j = 0; j < 3; j++) {
        a[i + j][j * 3 + k] = x;
      }
    }
    for (int i = 0; i < 9; i++) {
      for (int j = 0; j < 9; j++) {
        cout << a[i][j];
      }
      cout << '\n';
    }
  }
  return 0;
}