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
# input = sys.stdin.buffer.readline
def I(): return(list(map(int,input().split())))
def sieve(n):
	a=[1]*n
	for i in range(2,n):
	    if a[i]:
	        for j in range(i*i,n,i):
	            a[j]=0
	return a
def f(i,j):
	matr[i][j]=matr[i][j]+1 if matr[i][j]<=8 else 1
for __ in range(int(input())):
	matr=[[]]*9
	for i in range(9):
		matr[i]=[int(j) for j in input()]
		# print(matr[i])
	# print(matr)
	# print(matr)
	# for j in range(3):
	# 	for i in range(3*j,9):
	# 		matr[i][j]=matr[i][j]+1 if matr[i][j]<=8 else 1
	# 		print(i,j)
	# 		j+=3

	f(0,0)
	f(1,3)
	f(2,6)
	f(3,1)
	f(4,4)
	f(5,7)
	f(6,2)
	f(7,5)
	f(8,8)


	# print(matr)
	# matr[0][0]
	for i in range(9):
		s=""
		for j in range(9):
			s+=str(matr[i][j])
		print(s)