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.util.*;
import java.io.*;

public class codeforces{
 
public static void main (String[] args) throws java.lang.Exception
{
	BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
	OutputStream outputStream = System.out;
	int t=Integer.parseInt(br.readLine().trim());
	StringBuilder aans=new StringBuilder();
	while(t-->0)
	{
		
		Integer arr[][]=new Integer[9][9];
		for(int i=0;i<9;i++) {
			String tok=br.readLine();
			for(int j=0;j<9;j++) {
				arr[i][j]=(int)(tok.charAt(j)-48);
			}
			
		}

		
		arr[0][0]=arr[1][0];
		arr[3][1]=arr[4][1];
		arr[6][2]=arr[7][2];
		arr[1][3]=arr[0][3];
		arr[4][4]=arr[3][4];
		arr[7][5]=arr[6][5];
		arr[2][6]=arr[1][6];
		arr[5][7]=arr[4][7];
		arr[8][8]=arr[7][8];
		StringBuilder ans=new StringBuilder();
		for(int i=0;i<9;i++) {
			
			for(int j=0;j<9;j++) {
				ans.append(arr[i][j]);
			}
			ans.append("\n");
		}
		System.out.println(ans);
		
			

		
		
			
			
		}
		
		
		
		
		
		

		
	
}
	
}