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:
t = int(input())

for j in range(t):
	answer = ""
	temp = input()
	a = int(temp[0])+1
	if(a==10):
		a-=2
	answer = str(a)
	for i in range(1,9):
		answer += temp[i]
	print(answer)

	temp = input()
	a = int(temp[3])+1
	if(a==10):
		a-=2
	answer = temp[0:3]
	answer+= str(a)
	for i in range(4,9):
		answer += temp[i]
	print(answer)

	temp = input()
	a = int(temp[6])+1
	if(a==10):
		a-=2
	answer = str(temp[0:6])
	answer += str(a)
	for i in range(7,9):
		answer += temp[i]
	print(answer)

	temp = input()
	a = int(temp[1])+1
	if(a==10):
		a-=2
	answer = temp[0:1]
	answer += str(a)	
	answer += temp[2:9]
	print(answer)

	temp = input()
	a = int(temp[4])+1
	if(a==10):
		a-=2
	# a = int(temp[3])+1
	answer = temp[0:4]
	answer += str(a)	
	answer += temp[5:9]
	print(answer)

	temp = input()
	a = int(temp[7])+1
	if(a==10):
		a-=2
	# a = int(temp[3])+1
	answer = temp[0:7]
	answer += str(a)	
	answer += temp[8:9]
	print(answer)

	temp = input()
	a = int(temp[2])+1
	if(a==10):
		a-=2
	answer = temp[0:2]
	answer += str(a)	
	answer += temp[3:9]
	print(answer)

	temp = input()
	a = int(temp[5])+1
	if(a==10):
		a-=2
	# a = int(temp[3])+1
	answer = temp[0:5]
	answer += str(a)	
	answer += temp[6:9]
	print(answer)

	temp = input()
	# a = int(temp[3])+1
	a = int(temp[8])+1
	if(a==10):
		a-=2
	answer = temp[0:8]
	answer += str(a)	
	answer += temp[9:9]
	print(answer)
	# for j in range(9):
	# 	temp = input()
		
		# print(int(temp[0])+1)