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 FastReader in;
    static PrintWriter out;
//    static StreamTokenizer in = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in)));
//    public static int nextInt()throws IOException { in.nextToken(); return (int)in.nval; }
//    public static String next()throws IOException { in.nextToken(); return (String)in.sval; }
//    static PrintWriter out = new PrintWriter(new OutputStreamWriter(System.out));
    public static void main(String args[]) throws FileNotFoundException, InterruptedException
    {
//        Scanner sc = new Scanner(System.in);
        in = new FastReader(System.in);
        out = new PrintWriter(System.out);
        int t = in.nextInt();
        while(t -- > 0)
        {
            for(int i = 1; i <= 9; i ++)
            {
                String s = in.next();
             
//                StringBuilder s = new StringBuilder(f);
                for(int j = 0; j < s.length(); j ++)
                {
                    char c;
                    if(((i-1)%3)*3+1+(i-1)/3 == j + 1)
                    {
//                        System.out.println("j = " + (j+1));
                        if(s.charAt(j) == '1')
                               c = '2';
                        else
                               c = '1';
                    }
                    else
                        c = s.charAt(j);
                out.print(c);
                }
                out.println();
            }
        }
//        out.flush();
        out.close();
    }
    static class FastReader {
        BufferedReader br;
        StringTokenizer st;
 
        FastReader(InputStream is) {
            br = new BufferedReader(new InputStreamReader(is));
        }
 
        Integer nextInt() {
            return Integer.parseInt(next());
        }
 
        Long nextLong() {
            return Long.parseLong(next());
        }
 
        Double nextDouble() {
            return Double.parseDouble(next());
        }
 
        String next() {
            while (st == null || !st.hasMoreTokens()) {
                st = new StringTokenizer(nextLine());
            }
            return st.nextToken();
        }
 
        String nextLine() {
            String s = "";
            try {
                s = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return s;
        }
    }
}