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:



zzz = ""
def write(s):
	global zzz 
	zzz += s

t = int(input())

for l in range(t):
	g = [] ;
	for i in range(9):
		k = input() 
		g.append([])
		for ele in k:
			g[i].append(int(ele))
	# for i in range(9) :
	# 	m = (g[i][i]+1) % 10
	# 	if(m == 0) :
	# 		m += 1
	# 	g[i][i] = m

	# change(g[1][1])
	# change(g[2][4])
	# change(g[3][7])
	# change(g[4][2])
	# change(g[5][5])
	# change(g[6][8])
	# change(g[7][3])
	# change(g[8][6])
	# change(g[9][9])
	
	i = 0
	j = 0 
	while(i < 9):
		# change(g,i,j)
		if(j >= 9) :
			j = (j % 9) +1
		m = (g[i][j]+1) % 10
		if(m == 0) :
			m += 1
		g[i][j] = m
		i += 1 
		j += 3

	temp = ""
	for i in range(9):
		for j in range(9):
			temp += str(g[i][j])
			
		temp += "\n" 
	print(temp)