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 main():
    for _ in range(int(input())):
        mat=list()

        for i in range(9):
            l=input()
            temp=list()
            for j in range(9):
                temp.append(int(l[j]))

            mat.append(temp)

        if(mat[0][0]!=5):
            mat[0][0]=10 - mat[0][0]
        else:
            mat[0][0]=1

        if(mat[1][3]!=5):
            mat[1][3]=10 - mat[1][3]
        else:
            mat[1][3]=1

        if(mat[2][6]!=5):
            mat[2][6]=10 - mat[2][6]
        else:
            mat[2][6]=2

        if( mat[3][1]!=5):
            mat[3][1]=10 -  mat[3][1]
        else:
            mat[3][1]=3

        if( mat[4][4]!=5):
            mat[4][4]=10 - mat[4][4]
        else:
            mat[4][4]=2

        if( mat[5][7]!=5):
            mat[5][7]=10 - mat[5][7]
        else:
            mat[5][7]=2

        if(mat[6][2]!=5):
            mat[6][2]=10 - mat[6][2]
        else:
            mat[6][2]=2

        if( mat[7][5]!=5):
            mat[7][5]=10 - mat[7][5]
        else:
            mat[7][5]=1

        if( mat[8][8]!=5):
             mat[8][8]=10 - mat[8][8]
        else:
            mat[8][8]=1


        for i in range(9):
            for j in range(9):
                print(mat[i][j], end="")
            print()


if __name__=='__main__':
    main()