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.*;
 
public class Main{
    public static void main (String[] args) {
        Scanner sc = new Scanner(System.in);
        int testCase = sc.nextInt();
        int[][] arr = new int[9][9];
        while(testCase-->0){
            int[] ss = new int[]{0,3,6,1,4,7,2,5,8};
            for(int i=0;i<9;i++){
                StringBuffer s = new StringBuffer(sc.next());
                s.setCharAt(ss[i],Character.forDigit(putFun(Character.getNumericValue(s.charAt(ss[i]))),10));
                System.out.println(s.toString());
            }
        }
        
    }
    
    static int putFun(int num){
        if(num+1<=9){
            return num+1;
        }else{
            return num-1;
        }
    }
}