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 IntInput(): return map(int,input().split())
def StrInput(): return map(int,input().split())
def IntArrayInput(): return list(map(int,input().split()))
def modInverse(p,a,m): return ((p)*pow(a%m,m-2,m))%m

# -----------------------Anshul Raj------------------------ #

for _ in range(int(input())):
    matrix = [[0 for i in range(9)]for i in range(9)]
    for i in range(9):
        a = input()
        for j in range(9):
            # print(a)
            matrix[i][j] = a[j]
    
    matrix[2][0] = matrix[2][1]
    matrix[1][3] = matrix[1][4]
    matrix[0][6] = matrix[0][7]

    matrix[5][2] = matrix[5][0] 
    matrix[4][5] = matrix[4][3] 
    matrix[3][8] = matrix[3][6]  

    matrix[8][1] = matrix[8][2]
    matrix[7][4] = matrix[7][5]
    matrix[6][7] = matrix[6][8]

    for i in matrix:
        print("".join(i))