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 cp {

    public static void main(String args[]) {

    	Scanner sc = new Scanner();

    	int t = sc.nextInt();

    	while(t-->0)
    	{
    		char ar[][] = new char[9][9];

    		for(int i=0;i<9;i++)
    		{
    			ar[i]=sc.nextLine().toCharArray();
    		}

    		for(int i=0;i<9;i++)
    		{
    			for(int j=0;j<9;j++)
    			{
    				if(ar[i][j]=='1')
    				{
    					++ar[i][j];
    				}
    				out.print(ar[i][j]);
    			}out.println("");
    		}


    	}
    	out.close();
    	
    }

    static	PrintWriter out=new PrintWriter(System.out);
	static class Scanner {
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		StringTokenizer st=new StringTokenizer("");
		String nextLine() {
			while (!st.hasMoreTokens())
				try { 
                                        st=new StringTokenizer(br.readLine());				               
                                } catch (IOException e) {}
			return st.nextToken();
		}
		int nextInt() {
			return Integer.parseInt(nextLine());
		}
		float nextFloat() {
			return Float.parseFloat(nextLine());
		}
		double nextDouble() {
			return Double.parseDouble(nextLine());
		}
		long nextLong() {
			return Long.parseLong(nextLine());
		}
	}
}