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:
import sys
import io, os
def main():
    input=sys.stdin.readline
    t=int(input())
    for i in range(t):
        sudoku=[]
        for i in range(9):
            r=[int(i) for i in input() if i!='\n']
            sudoku.append(r)
        #print(sudoku)
        sudoku[0][0]=sudoku[0][0]+1
        if sudoku[0][0]==10:
            sudoku[0][0]=1
        sudoku[1][3]=sudoku[1][3]+1
        if sudoku[1][3]==10:
            sudoku[1][3]=1
        sudoku[2][6]=sudoku[2][6]+1
        if sudoku[2][6]==10:
            sudoku[2][6]=1
        sudoku[3][1]=sudoku[3][1]+1
        if sudoku[3][1]==10:
            sudoku[3][1]=1
        sudoku[4][4]=sudoku[4][4]+1
        if sudoku[4][4]==10:
            sudoku[4][4]=1
        sudoku[5][7]=sudoku[5][7]+1
        if sudoku[5][7]==10:
            sudoku[5][7]=1
        sudoku[6][2]=sudoku[6][2]+1
        if sudoku[6][2]==10:
            sudoku[6][2]=1
        sudoku[7][5]=sudoku[7][5]+1
        if sudoku[7][5]==10:
            sudoku[7][5]=1
        sudoku[8][8]=sudoku[8][8]+1
        if sudoku[8][8]==10:
            sudoku[8][8]=1
        for i in sudoku:
            i=''.join(map(str,i))
            sys.stdout.write(i+'\n')
        
                  

            
if __name__ == "__main__": 
    main()