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:
import sys

t=int(sys.stdin.readline())

for i in range(t):
	
	arr=[]
	for g in range(9):
		s=sys.stdin.readline().strip()
		
		tmp=[]
		for x in range(9):
			tmp.append(s[x])

		arr.append(tmp)

	arr[0][1]=arr[0][0]
	arr[1][4]=arr[1][3]
	arr[2][7]=arr[2][6]

	arr[3][2]=arr[3][1]
	arr[4][5]=arr[4][4]
	arr[5][8]=arr[5][7]

	arr[6][0]=arr[6][2]
	arr[7][3]=arr[7][5]
	arr[8][6]=arr[8][8]


	# print(arr)

	# arr[0][1]=arr[0][0]
	# arr[1][0]=arr[0][0]

	# arr[1][3]=arr[0][3]
	# arr[0][4]=arr[0][3]

	# arr[1][6]=arr[0][6]
	# arr[0][7]=arr[0][6]

	# arr[4][0]=arr[3][0]
	# arr[3][1]=arr[3][0]

	# arr[7][0]=arr[6][0]
	# arr[6][1]=arr[6][0]

	# arr[4][3]=arr[3][3]
	# arr[3][4]=arr[3][3]

	# arr[4][6]=arr[3][6]
	# arr[3][7]=arr[3][6]

	# arr[7][3]=arr[6][3]
	# arr[6][4]=arr[6][3]

	# arr[7][6]=arr[6][6]
	# arr[6][7]=arr[6][6]

	for e in range(9):
		print("".join(arr[e]))