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:
from statistics import mode
T = int(input())
for _ in range(T):
    arr = []
    for i in range(9):
        k = input()
        k = [x for x in k]
        arr.append(k)

    # print(arr)
    arr[0][8] = arr[0][7]
    arr[1][5] = arr[1][4]
    arr[2][2] = arr[2][1]
    arr[3][7] = arr[3][6]
    arr[4][4] = arr[4][3]
    arr[5][1] = arr[5][0]
    arr[6][6] = arr[6][7]
    arr[7][3] = arr[7][4]
    arr[8][0] = arr[8][1]

    for i in range(9):
        for j in range(9):
            print(arr[i][j], end="")
        print()

    # n = int(input())
    # arr = [int(x) for x in input().split()]
    # k = mode(arr)
    # s = set(arr)
    # if arr.count(k) >= n / 2:
    #     print(len(s)-1)
    #     continue
    # else:
    #     print(min(len(s)-1, arr.count(k)))
    #