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 split(word):
    return [char for char in word]


t = int(input())
for i in range(0, t):
    sudoku = []

    for i in range(0, 9):
        b = input()
        sudoku.append(split(b))

    if sudoku[0][0] == "1":
        sudoku[0][0] = 2
    else:
        sudoku[0][0] = 1

    if sudoku[3][1] == "1":
        sudoku[3][1] = 2
    else:
        sudoku[3][1] = 1

    if sudoku[6][2] == "1":
        sudoku[6][2] = 2
    else:
        sudoku[6][2] = 1

    if sudoku[1][3] == "1":
        sudoku[1][3] = 2
    else:
        sudoku[1][3] = 1

    if sudoku[4][4] == "1":
        sudoku[4][4] = 2
    else:
        sudoku[4][4] = 1

    if sudoku[5][7] == "1":
        sudoku[5][7] = 2
    else:
        sudoku[5][7] = 1

    if sudoku[2][6] == "1":
        sudoku[2][6] = 2
    else:
        sudoku[2][6] = 1

    if sudoku[7][5] == "1":
        sudoku[7][5] = 2
    else:
        sudoku[7][5] = 1

    if sudoku[8][8] == "1":
        sudoku[8][8] = 2
    else:
        sudoku[8][8] = 1

    for i in range(0, 9):
        for j in range(0, 9):
            print(sudoku[i][j], end="")
        print("\t")