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
{
    public static void main(String args[])throws Exception
    {
        BufferedReader bu=new BufferedReader(new InputStreamReader(System.in));
        int t=Integer.parseInt(bu.readLine());
        StringBuilder sb=new StringBuilder();
        while(t-->0)
        {
            int s[][]=new int[9][9],i,j;
            for(i=0;i<9;i++)
            {
                String st=bu.readLine();
                for(j=0;j<9;j++)
                    s[i][j]=st.charAt(j)-48;
            }
            s[0][0]=s[0][0]==1?4:1;
            s[1][3]=s[1][3]==1?4:1;
            s[2][6]=s[2][6]==1?4:1;
            s[3][1]=s[3][1]==2?5:2;
            s[4][4]=s[4][4]==2?5:2;
            s[5][7]=s[5][7]==2?5:2;
            s[6][2]=s[6][2]==3?6:3;
            s[7][5]=s[7][5]==3?6:3;
            s[8][8]=s[8][8]==3?6:3;
            for(i=0;i<9;i++)
            {
                for(j=0;j<9;j++)
                sb.append(s[i][j]);
                sb.append("\n");
            }
        }
        System.out.print(sb);
    }
}