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 i in range(t):
    l1=list(input())
    l2=list(input())
    l3=list(input())
    l4=list(input())
    l5=list(input())
    l6=list(input())
    l7=list(input())
    l8=list(input())
    l9=list(input())
    if(l1[0]=='5'):
        l1[0]='6'
    else:
        l1[0]='5'
    if(l2[3]=='5'):
        l2[3]='6'
    else:
        l2[3]='5'
    if(l3[6]=='5'):
        l3[6]='6'
    else:
        l3[6]='5'
    if(l4[1]=='5'):
        l4[1]='6'
    else:
        l4[1]='5'
    if(l5[4]=='5'):
        l5[4]='6'
    else:
        l5[4]='5'
    if(l6[7]=='5'):
        l6[7]='6'
    else:
        l6[7]='5'
    if(l7[2]=='5'):
        l7[2]='6'
    else:
        l7[2]='5'
    if(l8[5]=='5'):
        l8[5]='6'
    else:
        l8[5]='5'
    if(l9[8]=='5'):
        l9[8]='6'
    else:
        l9[8]='5'
    print(''.join(l1))
    print(''.join(l2))
    print(''.join(l3))
    print(''.join(l4))
    print(''.join(l5))
    print(''.join(l6))
    print(''.join(l7))
    print(''.join(l8))
    print(''.join(l9))