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:
def convertArrayToInt(A):
	for i in range(0, len(A), 1):
		A[i] = int(A[i])

	return A


testCases = int(input())


def makeAntiSudoku(matrix):

	cols = [1, 4, 7, 2, 5, 8, 3, 6, 0]

	j = 0

	for i in range(0, 9, 1):
		matrix[i][cols[j]-1] = matrix[i][cols[j]]
		j+=1
	
	for i in range(0, 9, 1):
		for j in range(0, 9, 1):
			print(matrix[i][j], end="")
		print()

def split(word): 
    return [char for char in word]

while testCases:
	matrix = []
	n = 9
	while n > 0: 
		X = input()

		X = split(X)

		matrix.append(X)
		n-=1

	makeAntiSudoku(matrix)

	testCases-=1