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.Scanner;

public class D{
    public static void main(String[] args) throws Exception{
        Scanner scan = new Scanner(System.in);
        //Scanner scan = new Scanner(new File("D.in"));
        int t= scan.nextInt();
        
        scan.nextLine();
        while(t-->0){
            int x = 0;
                int y =0;
                int z = 0;
            for(int i = 0; i<9; i++){
                
                String s = scan.nextLine();
                String l="";
                String r = "";
                if(x+1<9){
                    r=s.substring(x+1,s.length());
                }
                if((x-1)>=0){
                    l=s.substring(0,x);
                }

                String le = "";
                if(s.charAt(x)=='3'){
                    le = "1";
                }
                else{
                    le="3";
                }
                //System.out.println(x);
                z+=3;
                x = z+z/9;
                x%=9;
               
                System.out.println(l+le+r);
            }
        }
    }

}