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


public class Main {


    static Long max = (long) (2 * 10E5);
    private static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    private static BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));

    static Long[] readLongArray() throws IOException {
        return Arrays.stream(br.readLine().split("\\s+")).map(Long::parseLong).toArray(Long[]::new);
    }

    static Integer[] readIntArray() throws IOException {
        return Arrays.stream(br.readLine().split("\\s+")).map(Integer::parseInt).toArray(Integer[]::new);
    }

    static int readInt() throws IOException {
        return Integer.parseInt(br.readLine());
    }

    static long readLong() throws IOException {
        return Long.parseLong(br.readLine());
    }


    public static void main(String[] args) throws IOException {
        int t = Integer.parseInt(br.readLine());
        for (int _t = 0; _t < t; _t++) {
            Integer[][] sudoku = new Integer[9][9];
            for (int i = 0; i < 9; i++)
                sudoku[i] = Arrays.stream(br.readLine().split("")).map(Integer::parseInt).toArray(Integer[]::new);

            int[] cols = {0, 3, 6, 1, 4, 7, 2, 5, 8};
            sudoku[0][0] = sudoku[0][1];

            for (int i = 1; i < 9; i++)
                sudoku[i][cols[i]] = sudoku[i][cols[i] - 1];

            for (int i = 0; i < 9; i++) {
                for (int j = 0; j < 9; j++) {
                    bw.append((char)(sudoku[i][j] + '0'));
                }
                bw.write('\n');
            }
        }
        bw.flush();
    }
}