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 
# try:
# 	sys.stdin = open('input.txt', 'r') 
# 	sys.stdout = open('output.txt', 'w')
# except:
# 	pass
input = sys.stdin.readline
for tt in range(int(input())):
	# n = int(input())
	# a,b = map(int,input().split())
	# l = list(map(int,input().split()))
	l = []
	for i in range(9):
		temp = [int(i) for i in input()[:-1]]
		l.append(temp)
	l[0][6] = l[0][6]+1 if l[0][6]!=9 else 1
	l[1][1] = l[1][1]+1 if l[1][1]!=9 else 1
	l[2][5] = l[2][5]+1 if l[2][5]!=9 else 1
	l[3][8] = l[3][8]+1 if l[3][8]!=9 else 1
	l[4][2] = l[4][2]+1 if l[4][2]!=9 else 1
	l[5][4] = l[5][4]+1 if l[5][4]!=9 else 1
	l[6][7] = l[6][7]+1 if l[6][7]!=9 else 1
	l[7][0] = l[7][0]+1 if l[7][0]!=9 else 1
	l[8][3] = l[8][3]+1 if l[8][3]!=9 else 1
	for i in range(9):
		print(*l[i],sep="")