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())
ans=[]
while t:
	t-=1
	for i in range(9):
		s=input()
		if i==0:
			#ans.append()
			s=s[1]+s[1:9]
		elif i==1:
			#ans.append()
			s=s[0:4]+s[3]+s[5:9]
		elif i==2:
#			ans.append()
			s=s[0:8]+s[7]
		elif i==3:
#			ans.append()
			s=s[0]+s[0]+s[2:9]
		elif i==4:
#			ans.append()
			s=s[0:5]+s[4]+s[6:9]
		elif i==5:
			#ans.append()
			s=s[0:7]+s[6]+s[8]
		elif i==6:
#			ans.append()
			s=s[0:2]+s[1]+s[3:9]
		elif i==7:
#			ans.append()
			s=s[0:3]+s[2]+s[4:9]
		elif i==8:
#			ans.append()
			s=s[0:6]+s[5]+s[7:9]
		print(s)
#		for x in s:
#			ans.append(x)
#	ans[1]=ans[0]
#	ans[13]=ans[12]
#	ans[25]=ans[24]
#	ans[36]=ans[27]
#	ans[32]=ans[41]
#	ans[51]=ans[52]
#	ans[65]=ans[56]
#	ans[57]=ans[66]
#	ans[80]=ans[71]
#	count=0
#	for x in ans:
#		print(x)#,end='')
#		count+=1
#		if count==9:
#			print()
#			count=0