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 sys
import math

def read_line():
	return sys.stdin.readline()[:-1]
 
def read_int():
	return int(sys.stdin.readline())
 
def read_int_line():
	return [int(v) for v in sys.stdin.readline().split()]

t = read_int()
for i in range(t):
	g = []
	for i in range(9):
		row = read_line()
		g.append(row)
	
	ans = [[0 for j in range(9)] for i in range(9)]

	for i in range(9):
		for j in range(9):
			ans[i][j] = int(g[i][j])

	ans[0][0] = 9-ans[0][0]
	ans[1][3] = 9-ans[1][3]
	ans[2][6] = 9-ans[2][6]
	ans[3][1] = 9-ans[3][1]
	ans[4][4] = 9-ans[4][4]
	ans[5][7] = 9-ans[5][7]
	ans[6][2] = 9-ans[6][2]
	ans[7][5] = 9-ans[7][5]
	ans[8][8] = 9-ans[8][8]

	for i in range(9):
		for j in range(9):
			if ans[i][j] == 0:
				print(ans[i][j]+1,end="")
			else:
				print(ans[i][j],end="")
		print()