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 sys import stdin
t=int(stdin.readline())
while(t>0):

	# a=[int(x)for x in stdin.readline().split()]
	s=[]
	for i in range(9):
		a=(stdin.readline())
		s.append(a)

	# CAN take no. as string or int.
	# If string then problem in +1
	ans=[]
	z=[1,4,7,2,5,8,3,6,9]
	# ans=[100000000,10000000,1000000,100000,10000,1000,100,10,1]	
	for i in range(0,9):
		y=z[i]
		# print(y,z[i%3])
		x=s[i][y-1]

		x=int(x)
		if x==9:
			x=1
		else:
			x=x+1

		# print(x)	
		# s = s[i][:i] + str(x) + s[i][i+1:]
		ans.append(s[i][:y-1] + str(x) + s[i][y:])	
		# print(x,s[i][:i] + str(x) + s[i][i+1:])		

	# ans=" "
	# print("HI")
	# print()
	for i in range(9):
		print(ans[i],end='')
	# print((b))
	 		



	t-=1