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.Scanner;

public class ProblemD {
    public static void main(String[] args) {
        Scanner scn=new Scanner(System.in);
        int T=scn.nextInt();
        for(int t=0;t<T;t++){
            String[] strings=new String[9];
            for(int i=0;i<9;i++){
                strings[i]=scn.next();
            }
            strings[0]=getCharacter(strings[0].charAt(0))+strings[0].substring(1, 9);
            strings[1]=strings[1].substring(0,3)+getCharacter(strings[1].charAt(3))+ strings[1].substring(4,9);
            strings[2]=strings[2].substring(0,6)+getCharacter(strings[2].charAt(6))+ strings[2].substring(7,9);
            strings[3]=strings[3].substring(0, 1)+ getCharacter(strings[3].charAt(1))+strings[3].substring(2, 9);
            strings[4]=strings[4].substring(0,4)+getCharacter(strings[4].charAt(4))+ strings[4].substring(5,9);
            strings[5]=strings[5].substring(0,7)+getCharacter(strings[5].charAt(7))+ strings[5].substring(8,9);
            strings[6]=strings[6].substring(0, 2)+ getCharacter(strings[6].charAt(2))+strings[6].substring(3, 9);
            strings[7]=strings[7].substring(0,5)+getCharacter(strings[7].charAt(5))+ strings[7].substring(6,9);
            strings[8]=strings[8].substring(0,8)+getCharacter(strings[8].charAt(8));

            for(int i=0;i<9;i++){
                System.out.println(strings[i]);
            }


        }
    }
    static char getCharacter(char ch){
        int x;
        if(ch=='9'){
            x='1';
        }
        else{
            x=ch+1;
        }
        return (char) x;
    }
}