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 PYTHON):

Solution:
# save yourself from "getting logged out and unable to log in" situation
# https://codeforces.com/blog/entry/63761

from sys import stdin, stdout

input()
inp = stdin.readlines()
out = []

ptr = 0
while ptr < len(inp):
    grid = [[0 for i in xrange(9)] for j in xrange(9)]

    for i in xrange(9):
        grid[i] = list(inp[ptr + i].strip()) 
    ptr += 9

    for it in xrange(3):
        i, j = 3 * it, it
        for jt in xrange(3):
            x, y = i + jt, j + jt * 3

            grid[x][y] = int(grid[x][y]) + 1
            if grid[x][y] == 10: grid[x][y] = 1

            grid[x][y] = str(grid[x][y])

    for i in xrange(9):
        out.append(''.join(grid[i]))

stdout.write('\n'.join(out))