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 solve(sudoko):
    for super_row in range(0,3):
        used = {}
        restrict = [-1,-1,-1]
        for sub_col in range(0,3):
            col = sub_col*3+super_row
            for sub_row in range(0,3):
                row = super_row *3 +sub_row
                #print(row)
                #print(col)
                if(sudoko[row][col]=='9'):
                    restrict[sub_col] = sub_row
                    break
        
        for i in range(0,3):
            if restrict[i] != -1:
                restrict[i] = (restrict[i] + 1) % 3
                used[restrict[i]] = 1

        for i in range(0,3):
            j=0
            while j in used:
                j+=1
            if restrict[i] == -1:
                restrict[i] = j
                used[restrict[i]] = 1

        for sub_row in range(0,3):
            row = super_row * 3 + restrict[sub_row]
            col = sub_row*3 + super_row
            sudoko[row][col]='9' 

    for i in range(0,9):
        print("".join(sudoko[i]))


t = int(input())
for i in range(0,t):
    sudoko = []
    for j in range(0,9):
        line = input()
        sudoko.append(list(line))
        
    solve(sudoko)