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):
	lista=[]
	for i in range(9):
		lista.append(input())
	for i in range(9):
		if(i==0):
			if(lista[i][0]!="1"):
				print(lista[i][:0]+"1"+lista[i][0+1:])
			else:
				print(lista[i][:0]+"2"+lista[i][0+1:])
		if(i==1):
			if(lista[i][3]!="1"):
				print(lista[i][:3]+"1"+lista[i][3+1:])
			else:
				print(lista[i][:3]+"2"+lista[i][3+1:])
		if(i==2):
			if(lista[i][6]!="1"):
				print(lista[i][:6]+"1"+lista[i][6+1:])
			else:
				print(lista[i][:6]+"2"+lista[i][6+1:])
		if(i==3):
			if(lista[i][1]!="1"):
				print(lista[i][:1]+"1"+lista[i][1+1:])
			else:
				print(lista[i][:1]+"2"+lista[i][1+1:])
		if(i==4):
			if(lista[i][4]!="1"):
				print(lista[i][:4]+"1"+lista[i][4+1:])
			else:
				print(lista[i][:4]+"2"+lista[i][4+1:])
		if(i==5):
			if(lista[i][7]!="1"):
				print(lista[i][:7]+"1"+lista[i][7+1:])
			else:
				print(lista[i][:7]+"2"+lista[i][7+1:])
		if(i==6):
			if(lista[i][2]!="1"):
				print(lista[i][:2]+"1"+lista[i][2+1:])
			else:
				print(lista[i][:2]+"2"+lista[i][2+1:])
		if(i==7):
			if(lista[i][5]!="1"):
				print(lista[i][:5]+"1"+lista[i][5+1:])
			else:
				print(lista[i][:5]+"2"+lista[i][5+1:])
		if(i==8):
			if(lista[i][8]!="1"):
				print(lista[i][:8]+"1"+lista[i][8+1:])
			else:
				print(lista[i][:8]+"2"+lista[i][8+1:])

# for i in lista:
# 	print(i)