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())):
    arr=[]
    for i in range(0,9):
        arr.append(input())

    if (arr[0][0] == '1'):
        arr[0] = arr[0][0:0]+str(2)+arr[0][1:]
    else:
        arr[0] = arr[0][0:0]+str(1)+arr[0][1:]

    if (arr[1][3] == '1'):
        arr[1] = arr[1][0:3]+str(2)+arr[1][4:]
    else:
        arr[1] = arr[1][0:3]+str(1)+arr[1][4:]

    if (arr[2][6] == '1'):
        arr[2] = arr[2][:6]+str(2)+arr[2][7:]
    else:
        arr[2] = arr[2][:6]+str(1)+arr[2][7:]

    if (arr[3][1] == '1'):
        arr[3] = arr[3][:1]+str(2)+arr[3][2:]
    else:
        arr[3] = arr[3][:1]+str(1)+arr[3][2:]

    if (arr[4][4] == '1'):
        arr[4] = arr[4][:4]+str(2)+arr[4][5:]
    else:
        arr[4] = arr[4][:4]+str(1)+arr[4][5:]

    if (arr[5][7] == '1'):
        arr[5] = arr[5][:7]+str(2)+arr[5][8:]
    else:
        arr[5] = arr[5][:7]+str(1)+arr[5][8:]

    if (arr[6][2] == '1'):
        arr[6] = arr[6][:2]+str(2)+arr[6][3:]
    else:
        arr[6] = arr[6][:2]+str(1)+arr[6][3:]

    if (arr[7][5] == '1'):
        arr[7]= arr[7][:5]+str(2)+arr[7][6:]
    else:
        arr[7] = arr[7][:5]+str(1)+arr[7][6:]

    if (arr[8][8] == '1'):
        arr[8] = arr[8][:8]+str(2)+arr[8][9:]
    else:
        arr[8]= arr[8][:8]+str(1)+arr[8][9:]

    for i in range(0,9):
        print(arr[i])


    # if