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())
for _ in range(t):
    l=[]
    for i in range(9):
        s=input()
        arr=[]
        for i in range(len(s)):
            arr.append(int(s[i]))
       
        l.append(arr)
    if l[0][0]==1 or l[0][0]==5:
        l[0][0]=2
    else:
        l[0][0]=9-l[0][0]+1
    if l[1][4]==1 or l[1][4]==5:                  
        l[1][4]=2
    else:    
        l[1][4]=9-l[1][4]+1
        
    if l[2][8]==1 or l[2][8]==5:                  
        l[2][8]=2
    else:
        l[2][8]=9-l[2][8]+1
    if l[3][1]==1 or l[3][1]==5:              
        l[3][1]=2
    else:
        l[3][1]=9-l[3][1]+1
        
    if l[4][3]==1 or l[4][3]==5:          
        l[4][3]=2
    else:
        l[4][3]=9-l[4][3]+1
        
    if l[5][6]==1 or l[5][6]==5:      
        l[5][6]=2
    else:
        l[5][6]=9-l[5][6]+1
    
    if l[6][2]==1 or l[6][2]==5:  
        l[6][2]=2
    else:
        l[6][2]=9-l[6][2]+1
        
        
    if l[7][5]==1 or l[7][5]==5:   
        l[7][5]=2
    else:
        l[7][5]=9-l[7][5]+1
        
        
    if l[8][7]==1 or l[8][7]==5:    
        l[8][7]=2
    else:
        l[8][7]=9-l[8][7]+1
        
        
        
    for i in range(9):
        p=''
        for j in range(9):
            p+=str(l[i][j])
        print(p)