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:
if __name__=='__main__':
    t=int(input())
    for i in range(t):
        l=[]
        for j in range(9):
            n=input()
            a=[]
            for k in range(len(n)):
                a.append(int(n[k]))
            l.append(a)
        if l[0][0]!=9:
            l[0][0]+=1
        else:
            l[0][0]=1
        if l[3][1]!=9:
            l[3][1]+=1
        else:
            l[3][1]=1
        if l[6][2]!=9:
            l[6][2]+=1
        else:
            l[6][2]=1
        if l[2][6]!=9:
            l[2][6]+=1
        else:
            l[2][6]=1
        if l[1][3]!=9:
            l[1][3]+=1
        else:
            l[1][3]=1
        if l[4][4]!=9:
            l[4][4]+=1
        else:
            l[4][4]=1
        if l[7][5]!=9:
            l[7][5]+=1
        else:
            l[7][5]=1
        if l[5][7]!=9:
            l[5][7]+=1
        else:
            l[5][7]=1
        if l[8][8]!=9:
            l[8][8]+=1
        else:
            l[8][8]=1
        for j in range(9):
            for k in range(9):
                print(l[j][k],end='')
            print()