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 PYTHON3):

Solution:
import sys


def main():
    test_cases = int(sys.stdin.readline())

    for test_case in range(test_cases):
        raw_input = []

        for i in range(9):
            raw_input.append(sys.stdin.readline())

        sedoku_board = [[[[0 for i in range(3)] for j in range(3)] for k in range(3)] for l in range(3)]

        for i in range(9):
            for j in range(9):
                outer_row = int(i / 3)
                outer_col = int(j / 3)
                inner_row = int(i % 3)
                inner_col = int(j % 3)

                sedoku_board[outer_row][outer_col][inner_row][inner_col] = raw_input[i][j]

        for i in range(3):
            sedoku_board[0][i][i][1] = sedoku_board[0][i][i][0]

        for i in range(3):
            sedoku_board[1][i][i][2] = sedoku_board[1][i][i][1]

        for i in range(3):
            sedoku_board[2][i][i][0] = sedoku_board[2][i][i][2]

        for i in range(9):
            line = ""

            for j in range(9):
                outer_row = int(i / 3)
                outer_col = int(j / 3)
                inner_row = int(i % 3)
                inner_col = int(j % 3)

                line += sedoku_board[outer_row][outer_col][inner_row][inner_col]

            print(line)


if __name__ == "__main__":
    main()