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.lang.*;
import java.io.*;

	public class A {
		
		BufferedReader br;
		StringTokenizer st;
		
		public A(){ // constructor
			
			br = new BufferedReader(new InputStreamReader(System.in));
		}
		
		String next(){
			
			while (st == null || !st.hasMoreElements()){
				try{
					st = new StringTokenizer(br.readLine());
				}
				
				catch (IOException e){
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}
		
		int nextInt(){
			
			return Integer.parseInt(next());
		}
		
		long nextLong(){
			
			return Long.parseLong(next());
		}
		
		double nextDouble(){
			return Double.parseDouble(next());
		}

		String nextLine(){
			
			String str = "";
			try{
				
				str = br.readLine();
			}
			catch (IOException e){
				
				e.printStackTrace();
			}
			return str;
		}
		
		static void sort(int[] arr){
			
	        int n = arr.length;
	        
	        Random rnd = new Random();
	        
	        for(int i = 0; i < n; ++i){
	        	
	            int tmp = arr[i];
	            int randomPos = i + rnd.nextInt(n - i);
	            arr[i] = arr[randomPos];
	            arr[randomPos] = tmp;
	        }
	        
	        Arrays.sort(arr);
	   }
		
		
	public static void main(String[] args) throws Exception{
		
		A in = new A();
		PrintWriter out = new PrintWriter(System.out);
		
		int test = in.nextInt();
		while(test-- > 0) {
			
			char sudoku[][] = new char[9][9];
			for(int i = 0; i < 9; i++) {
				String str = in.next();
				for(int j = 0; j < 9; j++) {
					sudoku[i][j] = str.charAt(j);
				}
			}
			
			sudoku[0][0] = (sudoku[0][0] == '9') ? '8' : (char)((sudoku[0][0] - '0' + 1) + '0');
			sudoku[1][3] = (sudoku[1][3] == '9') ? '8' : (char)((sudoku[1][3] - '0' + 1) + '0');
			sudoku[2][6] = (sudoku[2][6] == '9') ? '8' : (char)((sudoku[2][6] - '0' + 1) + '0');
			
			sudoku[3][1] = (sudoku[3][1] == '9') ? '8' : (char)((sudoku[3][1] - '0' + 1) + '0');
			sudoku[4][4] = (sudoku[4][4] == '9') ? '8' : (char)((sudoku[4][4] - '0' + 1) + '0');
			sudoku[5][7] = (sudoku[5][7] == '9') ? '8' : (char)((sudoku[5][7] - '0' + 1) + '0');
			
			sudoku[6][2] = (sudoku[6][2] == '9') ? '8' : (char)((sudoku[6][2] - '0' + 1) + '0');
			sudoku[7][5] = (sudoku[7][5] == '9') ? '8' : (char)((sudoku[7][5] - '0' + 1) + '0');
			sudoku[8][8] = (sudoku[8][8] == '9') ? '8' : (char)((sudoku[8][8] - '0' + 1) + '0');
			
						
			for(char s[] : sudoku) {
				for(char c : s) {
					out.print(c);
				}
				out.println();
			}
			
		}
		
		out.flush();
		out.close();
	}
}