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;
vector<string> v(9);
void ch(long long int i, long long int j) {
  long long int x = v[i][j] - '0';
  long long int y;
  y = (x == 9) ? 1 : x + 1;
  v[i][j] = '0' + y;
}
int main() {
  long long int te;
  cin >> te;
  while (te--) {
    for (long long int i = 0; i <= 8; i++) cin >> v[i];
    ch(0, 0);
    ch(3, 1);
    ch(6, 2);
    ch(1, 3);
    ch(4, 4);
    ch(7, 5);
    ch(2, 6);
    ch(5, 7);
    ch(8, 8);
    for (long long int i = 0; i <= 8; i++) cout << v[i] << "\n";
    v.clear();
  }
}