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;
int32_t main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  long long int n;
  cin >> n;
  while (n--) {
    vector<string> vec;
    string s;
    for (long long int i = 0; i < 9; i++) {
      cin >> s;
      vec.push_back(s);
    }
    vector<vector<long long int>> v;
    v.push_back({0, 0});
    v.push_back({1, 4});
    v.push_back({2, 8});
    v.push_back({4, 1});
    v.push_back({5, 5});
    v.push_back({3, 6});
    v.push_back({6, 2});
    v.push_back({7, 3});
    v.push_back({8, 7});
    for (long long int i = 0; i < vec.size(); i++) {
      char c = '0' + vec[v[i][0]][v[i][1]] % 9 + 1;
      vec[v[i][0]][v[i][1]] = c;
    }
    for (long long int i = 0; i < 9; i++) cout << vec[i] << endl;
  }
}