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 x(data, i):
    if len(set(data[i])) == 9:
        return True


def y(data, i):
    s = ""
    for d in data:
        s += d[i]
    if len(set(s)) == 9:
        return True


def s(data):
    for xx, yy in [(0, 0), (3, 0), (6,0),(0, 3), (3, 3), (6,3),(0, 6), (3, 6), (6,6)]:
        s = ""
        res = []
        for i in range(xx, xx + 3):
            for j in range(yy, yy + 3):
                s += data[i][j]
                res.append((i, j))
        if len(set(s)) == 9:
            yield res


def main():
    d = int(input())
    for i in range(d):
        data = []
        for i in range(9):
            data.append([v for v in input()])
        dd = [0, 4, 8, 1, 5, 6, 2, 3, 7]
        for i, v in enumerate(dd):
            data[i][v] = str(int(data[i][v])+1) if data[i][v]!='9' else '1'


        for dd in data:
            print("".join(dd))









if __name__ == "__main__":
    main()