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:
t = int(input())

for test in range(0, t):
    sudoku = []

    line = list(map(int, list(input())))
    line[0] = line[0] + 1
    if line[0] == 10:
        line[0] = 1
    sudoku.append(line)

    line = list(map(int, list(input())))
    line[3] = line[3] + 1
    if line[3] == 10:
        line[3] = 1
    sudoku.append(line)

    line = list(map(int, list(input())))
    line[6] = line[6] + 1
    if line[6] == 10:
        line[6] = 1
    sudoku.append(line)

    line = list(map(int, list(input())))
    line[1] = line[1] + 1
    if line[1] == 10:
        line[1] = 1
    sudoku.append(line)

    line = list(map(int, list(input())))
    line[4] = line[4] + 1
    if line[4] == 10:
        line[4] = 1
    sudoku.append(line)

    line = list(map(int, list(input())))
    line[7] = line[7] + 1
    if line[7] == 10:
        line[7] = 1
    sudoku.append(line)

    line = list(map(int, list(input())))
    line[2] = line[2] + 1
    if line[2] == 10:
        line[2] = 1
    sudoku.append(line)

    line = list(map(int, list(input())))
    line[5] = line[5] + 1
    if line[5] == 10:
        line[5] = 1
    sudoku.append(line)

    line = list(map(int, list(input())))
    line[8] = line[8] + 1
    if line[8] == 10:
        line[8] = 1
    sudoku.append(line)

    for line in sudoku:
        s_line = list(map(str, line))
        print(''.join(s_line))