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:
for _ in range(int(input())):
    l = []
    for __ in range(9):
        l.append(input())
    x = '2' if l[0][0] == '1' else str(int(l[0][0]) - 1)
    l[0] = x + l[0][1:]
        
    x = '2' if l[1][8] == '1' else str(int(l[1][8]) - 1)
    l[1] = l[1][:8] + x

    x = '2' if l[2][4] == '1' else str(int(l[2][4]) - 1) 
    l[2] = l[2][0:4] + x + l[2][5:]

    x = '2' if l[3][3] == '1' else str(int(l[3][3]) - 1)
    l[3] = l[3][0:3] + x + l[3][4:]
        
    x = '2' if l[4][7] == '1' else str(int(l[4][7]) - 1)
    l[4] = l[4][:7] + x + l[4][8:]
        
    x = '2' if l[5][2] == '1' else str(int(l[5][2]) - 1)
    l[5] = l[5][:2] + x + l[5][3:]
        
    x = '2' if l[6][6] == '1' else str(int(l[6][6]) - 1)
    l[6] = l[6][:6] + x + l[6][7:]
        
    x = '2' if l[7][1] == '1' else str(int(l[7][1]) - 1)
    l[7] = l[7][0] + x + l[7][2:]
        
    x = '2' if l[8][5] == '1' else str(int(l[8][5]) - 1)
    l[8] = l[8][:5] + x + l[8][6:]
    
    for i in range(9):
        for j in l[i]:
            print(j, end ="")
        print()