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 d {
	
	static int n = 9;
	static int[][] in;
	
	public static void main(String[] args) throws IOException {
		FastScanner stdin = new FastScanner(System.in);
		PrintWriter out = new PrintWriter(System.out);
		
		int t = stdin.nextInt();
		
		for (int z = 0; z < t; z ++)
		{
			in = new int[n][n];
			for (int i = 0; i < n; i ++)
			{
				char[] input = stdin.next().toCharArray();
				for (int j = 0; j < n; j ++)
					in[i][j] = (input[j]-'0') - 1;
			}
			
			for (int i = 0; i < n; i ++)
			{
				for (int j = 0; j < n; j ++)
					out.print(in[i][j] == 0 ? 9 : in[i][j]+1);
				out.println();
			}
		}
		
		out.flush();
	}
	
	static class FastScanner {
	    BufferedReader br;
	    StringTokenizer st;
		
	    public FastScanner(InputStream i) {
	        br = new BufferedReader(new InputStreamReader(i));
	        st = new StringTokenizer("");
	    }
				
	    public String next() throws IOException {
	        if(st.hasMoreTokens())
	            return st.nextToken();
	        else
	            st = new StringTokenizer(br.readLine());
	        return next();
	    }

	    public int nextInt() throws IOException {
	        return Integer.parseInt(next());
	    }
	   
	    public long nextLong() throws IOException {
	        return Long.parseLong(next());
	    }
	    
	    public double nextDouble() throws IOException {
	        return Double.parseDouble(next());
	    }
	 }
}