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 math
test = int(input())

def most_frequent(List):
	un = set(List)
	num = max(un, key = List.count) 
	count = 0
	for ele in List:
		if (ele == num):
			count += 1
	return num, count, len(un)

while test:
	# number = int(input())
	ans = []
	ans.append([0,0,0,0,0,0,0,0,0])
	for i in range(1, 10):
		string = input()
		arr = [int(x) for x in string]
		if (i % 10 == 1):
			arr[0] = arr[1]
		elif (i % 10 == 2):
			arr[3] = arr[4]
		elif (i % 10 == 3):
			arr[6] = arr[7]
		elif (i % 10 == 4):
			arr[1] = arr[0]
		elif (i % 10 == 5):
			arr[4] = arr[3]
		elif (i % 10 == 6):
			arr[7] = arr[6]
		elif (i % 10 == 7):
			arr[2] = arr[1]
		elif (i % 10 == 8):
			arr[5] = arr[4]
		elif (i % 10 == 9):
			arr[8] = arr[7]

		ans.append(arr)
	for i in range(1, 10):
		print ("".join(str(x) for x in ans[i]))
	test -= 1