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 ProblemD {
    public static PrintWriter out;

    public static void main(String[] args) {
        MyScanner sc = new MyScanner();
        //out = new PrintWriter(new BufferedOutputStream(System.out));
        int cases = sc.nextInt();
        int[][] ar = new int[9][9];
        for (int x = 0; x < cases; x++) {
            for (int i = 0; i < 9; i++) {
                String str = sc.next();
                for (int j = 0; j < 9; j++) {
                    ar[i][j] = str.charAt(j) - '0';
                }
            }
            if (ar[0][8] == 9) { ar[0][8] = 8; }
            else {ar[0][8] += 1; }

            if (ar[1][5] == 9) { ar[1][5] = 8; }
            else {ar[1][5] += 1; }

            if (ar[2][2] == 9) { ar[2][2] = 8; }
            else {ar[2][2] += 1; }

            if (ar[3][7] == 9) { ar[3][7] = 8; }
            else {ar[3][7] += 1; }

            if (ar[4][3] == 9) { ar[4][3] = 8; }
            else {ar[4][3] += 1; }

            if (ar[5][0] == 9) { ar[5][0] = 8; }
            else {ar[5][0] += 1; }

            if (ar[6][1] == 9) { ar[6][1] = 8; }
            else {ar[6][1] += 1; }

            if (ar[7][6] == 9) { ar[7][6] = 8; }
            else {ar[7][6] += 1; }

            if (ar[8][4] == 9) { ar[8][4] = 8; }
            else {ar[8][4] += 1; }

            for (int i = 0; i < 9; i++) {
                StringBuilder s = new StringBuilder();
                for (int j = 0; j < 9; j++) {
                    s.append(ar[i][j]);
                }
                System.out.println(s.toString());
            }
        }
    }

    public static class MyScanner {
        BufferedReader br;
        StringTokenizer st;

        public MyScanner() {
            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;
        }

    }
}