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:
// #pragma GCC optimize("Ofast")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

import java.io.*;
import java.util.*;

import static java.lang.Math.*;

public class Main {
    static int infi = Integer.MAX_VALUE / 2, mod = 1000000007, maxn = 3 * (int) 1e5;
    static long infl = Long.MAX_VALUE / 2;

    public static void main(String[] args) throws IOException {
        br = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
        int t = nextInt();
        for (int t123 = 0; t123 < t; t123++) {
            int[][] a = new int[9][9];
            for (int i = 0; i < 9; i++) {
                String s = next();
                for (int j = 0; j < 9; j++) {
                    a[i][j] = s.charAt(j) - '0';
                }
            }
            if (a[0][0] == 1)
                a[0][0] = 2;
            else
                a[0][0] = 1;

            if (a[3][1] == 1)
                a[3][1] = 2;
            else
                a[3][1] = 1;

            if (a[6][2] == 1)
                a[6][2] = 2;
            else
                a[6][2] = 1;

            if (a[1][3] == 1)
                a[1][3] = 2;
            else
                a[1][3] = 1;

            if (a[4][4] == 1)
                a[4][4] = 2;
            else
                a[4][4] = 1;

            if (a[7][5] == 1)
                a[7][5] = 2;
            else
                a[7][5] = 1;

            if (a[2][6] == 1)
                a[2][6] = 2;
            else
                a[2][6] = 1;

            if (a[5][7] == 1)
                a[5][7] = 2;
            else
                a[5][7] = 1;

            if (a[8][8] == 1)
                a[8][8] = 2;
            else
                a[8][8] = 1;
            for (int i = 0; i < 9; i++) {
                for (int j = 0; j < 9; j++) {
                    out.print(a[i][j]);
                }
                out.println();
            }
        }
        out.close();
    }

    static BufferedReader br;
    static StringTokenizer st = new StringTokenizer("");
    static PrintWriter out;

    static String next() throws IOException {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }

    static int nextInt() throws IOException {
        return Integer.parseInt(next());
    }

    static long nextLong() throws IOException {
        return Long.parseLong(next());
    }

}

class f {
    int x, y;

    public f(int x, int y) {
        this.x = x;
        this.y = y;
    }
}