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 math import ceil


def solve():
    t = int(input())
    numbers = {x for x in range(1, 10)}

    for _ in range(t):
        s = [[] for _ in range(9)]
        for i in range(9):
            s[i] = list(map(int, input()))
        x, y = 0, 0
        ok = numbers - {s[x][y]}
        s[x][y] = ok.pop()

        x, y = 1, 3
        ok = numbers - {s[x][y]}
        s[x][y] = ok.pop()

        x, y = 2, 6
        ok = numbers - {s[x][y]}
        s[x][y] = ok.pop()

        x, y = 3, 1
        ok = numbers - {s[x][y]}
        s[x][y] = ok.pop()

        x, y = 4, 7
        ok = numbers - {s[x][y]}
        s[x][y] = ok.pop()

        x, y = 5, 5
        ok = numbers - {s[x][y]}
        s[x][y] = ok.pop()

        x, y = 6, 2
        ok = numbers - {s[x][y]}
        s[x][y] = ok.pop()

        x, y = 7, 4
        ok = numbers - {s[x][y]}
        s[x][y] = ok.pop()

        x, y = 8, 8
        ok = numbers - {s[x][y]}
        s[x][y] = ok.pop()

        st = ''
        for i in s:
            st += ''.join(map(str, i)) + '\n'
        print(st.strip())


solve()