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.*;
public class Sudoku{

	 static Scanner x=new Scanner(System.in);

	 public static void main(String args[]){
		 int tc=x.nextInt();
		 String t[][]=new String[tc][9];
		 for(int i=0; i<tc; i++){
			 t[i]=test();
		 }
		 for(int i=0; i<tc; i++){
			 for(int j=0; j<9; j++){
				 System.out.println(t[i][j]);
			 }
			 System.out.println();
		 }
		 	 
	 }
	 static String[] test(){
		 String ar[]=new String[9];
		 
		 for(int i=0; i<9; i++){
			 ar[i]=x.next();
				char c[]=new char[9];
				c=ar[i].toCharArray();
				for(int j=0; j<9; j++){
					if(c[j]=='1')c[j]='2';
				}
				ar[i]=String.valueOf(c);
		 }
		 
		 return ar;
	 }
	 
}