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:
/******************************************************************************

                            Online Java Compiler.
                Code, Compile, Run and Debug java program online.
Write your code in this editor and press "Run" button to execute it.

*******************************************************************************/
import java.util.*;
import java.io.*;
public class Main
{
	public static void main(String[] args)  throws Exception{
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		int t = Integer.parseInt(br.readLine());
		while(t-->0){
		    int arr[][]=new int[9][9];
		    for(int i=0;i<9;i++){
		        char[] row = br.readLine().toCharArray();
		        for(int j=0;j<9;j++){
		            arr[i][j]=Integer.parseInt(String.valueOf(row[j]));
		        }
		    }    
		    for(int i=0;i<9;i++){
		        for(int j=0;j<9;j++){
    		        if(arr[j][i]==1){
    		            arr[j][i]=2;
    		        }
    		        
    		        
		        }
		        
		    }
		    for(int[] row:arr){
		        System.out.println(Arrays.toString(row).replace("[","").replace("]","").replace(",","").replace(" ",""));
		    }
	    }
	}
}