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:
t=input()
while t>0:
	lis=[]
	for i in range(9):
		s=raw_input()
		diff=list(map(int,s))
		lis.append(diff)
	for i in range(3):
		if lis[i][i*3]==9:
			lis[i][i*3]=8	
		else:
			lis[i][i*3]+=1
	c=1		
	for i in range(3,6):
		if lis[i][c]==9:
			lis[i][c]=8	
		else:
			lis[i][c]+=1
		c+=3	
	d=2			
	for i in range(6,9):
		if lis[i][d]==9:
			lis[i][d]=8	
		else:
			lis[i][d]+=1	
		d+=3	
	for i in range(9):												
		print(''.join(str(x) for x in lis[i]))		

	t-=1