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 antisudoku(s):
    
    a=[]
    j=0
    for i in range(0,9,3):
        
        if 1<=int(s[i][j])<=8:
            b=int(s[i][j])+1
        else:
            b=1
        if 1<=int(s[i+1][j+3])<=8:
            c=int(s[i+1][j+3])+1
        else:
            c=1
        if 1<=int(s[i+2][j+6])<=8:
            d=int(s[i+2][j+6])+1
        else:
            d=1

        a.append(s[i][:j]+str(b)+s[i][j+1:])
        a.append(s[i+1][:j+3]+str(c)+s[i+1][j+1+3:])
        a.append(s[i+2][:j+6]+str(d)+s[i+2][j+1+6:])
        j+=1
    



    for x in a:
        print(x)
    return

t=int(input())
s=[]
for i in range(t):
    a=[]
    for j in range(9):
        a.append(input())
    s.append(a)

for x in s:
    antisudoku(x)