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.*;
import java.util.*;

public class test5 {
	public static final int mod=1000000007;
	public static void main(String[] args) throws IOException{
		BufferedReader sc=new BufferedReader(new InputStreamReader(System.in));
		//Scanner sc=new Scanner(System.in);
		PrintWriter out=new PrintWriter(System.out);
		
		int t=Integer.parseInt(sc.readLine());
		
		while(t-->0) {
			char[][] arr=new char[9][];
			for(int i=0;i<9;i++) {
				arr[i]=sc.readLine().toCharArray();
			}
			int j=0;
			for(int i=0;i<9;i++) {
				if(i==3) j=1;
				if(i==6) j=2;
				if(arr[i][j]=='9') arr[i][j]='1';
				else arr[i][j]=(char)(arr[i][j]+1);
				j+=3;
			}
			for(char[] row:arr) out.println(row);
		}
		
		out.flush();
		out.close();		
	}
}