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:
def replace(board, i, j):
    board[i][j] = board[i][j] + 1 if board[i][j] < 9 else board[i][j] - 1


def solve(board):
    replace(board, 0, 0)
    replace(board, 3, 1)
    replace(board, 6, 2)
    replace(board, 1, 3)
    replace(board, 4, 4)
    replace(board, 7, 5)
    replace(board, 2, 6)
    replace(board, 5, 7)
    replace(board, 8, 8)
    return board


def display(board):
    result = ""
    for row in board:
        result += "".join([str(x) for x in row]) + "\n"
    return result.strip()


if __name__ == "__main__":
    for i in range(int(input())):
        board = [[int(x) for x in input()] for i in range(9)]
        print(display(solve(board)))