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:
import collections, math, bisect

local = False
if local:
    file = open("input.txt", "r")
    import time

def inp():
    if local:
        return file.readline().rstrip()
    else:
        return input().rstrip()

def ints():
    return [int(_) for _ in inp().split()]


if local:
    start=time.time()


t = int(inp())

for _ in range(1,t+1):
    grid = [[0 for c in range(9)] for r in range(9)]

    for r in range(9):
        row = inp()
        for c in range(9):
            grid[r][c] = row[c]
    
    grid[0][0] = grid[0][1]
    grid[1][3] = grid[1][4]
    grid[2][6] = grid[2][7]

    grid[3][1] = grid[3][2]
    grid[4][4] = grid[4][5]
    grid[5][7] = grid[5][8]

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

    for r in range(9):
        print("".join(grid[r]))

if local:
    fin = (time.time()-start)*1000
    print("{:.2f}".format(fin) + "ms")