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:
'''Anti Sudoku Solution
'''

T = int(input())

for test in range(T):
    sudoku = []
    for row in range(9):
        sudoku.append([int(chr) for chr in input()])
    '''
    for row in sudoku:
        for ind in row:
            print(ind,end='')
        print()    
    '''
    for colblock in range(3):
        for block in range(3):
            for r in range(3):
                for c in range(3):
                    # print(block + r,colblock + c)
                    if sudoku[block*3 + r][colblock*3 + c] == 1:
                        cell = r, c
                        break
            indx = (cell[1] + 1) % 3
            sudoku[block*3 + cell[0]][colblock*3 + indx] = 1

    for row in sudoku:
        for ind in row:
            print(ind,end='')
        print()