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.*;
import java.io.*;
public class main
{
 static Hashtable<Integer ,Integer>hash=new Hashtable<>();
 static int dp[][];
 static int ans[]=new int[2001];
	public static void main(String args[]) throws java.lang.Exception
	{
	  
 	BufferedReader inp = new BufferedReader (new InputStreamReader(System.in));
int t=Integer.parseInt(inp.readLine());
while(t-->0)
{
   StringBuilder sb=new StringBuilder();
   int j=0;
  for(int i=0;i<3;i++)
   {
      // String k=
      StringBuilder sb1=new StringBuilder(inp.readLine());
      sb1.setCharAt(j,(char)(((int)sb1.charAt(j)-(int)'0'+1)%10==0?'1':(char)(((int)sb1.charAt(j)-(int)'0'+1)%10+'0')));
      sb.append(sb1.toString()+"\n");
      j+=3;
   }
   j=1;
    for(int i=0;i<3;i++)
   {
      // String k=
      StringBuilder sb1=new StringBuilder(inp.readLine());
      sb1.setCharAt(j,(char)(((int)sb1.charAt(j)-(int)'0'+1)%10==0?'1':(char)(((int)sb1.charAt(j)-(int)'0'+1)%10+'0')));
      sb.append(sb1.toString()+"\n");
      j+=3;
   }
   j=2;
  for(int i=0;i<3;i++)
   {
      // String k=
      StringBuilder sb1=new StringBuilder(inp.readLine());
      sb1.setCharAt(j,(char)(((int)sb1.charAt(j)-(int)'0'+1)%10==0?'1':(char)(((int)sb1.charAt(j)-(int)'0'+1)%10+'0')));
      sb.append(sb1.toString()+"\n");
      j+=3;
   }
   System.out.println(sb);
   
}
	   
	   
	}

}

  class Pair
  {
     String a;
     int b;
     Pair(String c , int d){a=c;b=d;}
  }