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:
from sys import stdin, stdout


def write(_s):
    stdout.write(_s)


def writeint(_s):
    stdout.write(str(_s))


def writelist(_l):
    stdout.write("".join(_l))


def read():
    return stdin.readline().strip()


def readint():
    return int(stdin.readline().strip())


def readints():
    return map(int, stdin.readline().strip().split(" "))


t = readint()
while t:
    sudoku = []
    for i in range(9):
        row = list(read())
        sudoku.append(row)

    off = -1
    j = 0
    for i in range(9):
        if i % 3 == 0:
            off += 1
            j = off

        # print(i, j)
        if i == j == 0:
            sudoku[i][j] = sudoku[i + 1][j + 1]
        elif (i % 3) == 0:
            sudoku[i][j] = sudoku[i + 1][j]
        else:
            sudoku[i][j] = sudoku[i - 1][j]

        j += 3

    for row in sudoku:
        # print(row)
        writelist(row)
        write("\n")

    t -= 1