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 JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;
import java.util.StringTokenizer;

public class Two {
	
	static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
	static Scanner sc = new Scanner(System.in);
	static StringTokenizer st;
	
	public static void main(String[] args) throws NumberFormatException, IOException {
		
		int iterator = Integer.parseInt(br.readLine());
		
		while(iterator-- > 0) {
			solve();
		}
	}

	private static void solve() throws NumberFormatException, IOException {
		
		int cur = 0;
		for(int i = 0 ; i < 8 ; i++) {
			char[] input = br.readLine().toCharArray();
			input[cur] = input[cur+1];
			cur += 3;
			cur %= 8;
			System.out.println(String.valueOf(input));
		}
		char[] input = br.readLine().toCharArray();
		input[8] = input[7];
		System.out.println(String.valueOf(input));
		
	}

}