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 string


def other(a):
    if a == "1":
        return "2"
    else:
        return "1"

def changeStr(s, i):
    return s[:i] + other(s[i]) + s[i+1:]

n = int(input())
for _ in range(n):
    sodoku = []
    for i in range(9):
        sodoku.append(input())

    sodoku[0] = changeStr(sodoku[0], 0)
    sodoku[1] = changeStr(sodoku[1], 3)
    sodoku[2] = changeStr(sodoku[2], 6)
    sodoku[3] = changeStr(sodoku[3], 1)
    sodoku[4] = changeStr(sodoku[4], 4)
    sodoku[5] = changeStr(sodoku[5], 7)
    sodoku[6] = changeStr(sodoku[6], 2)
    sodoku[7] = changeStr(sodoku[7], 5)
    sodoku[8] = changeStr(sodoku[8], 8)

    for i in range(9):
        out = ""
        for j in range(9):
            out += sodoku[i][j]
        print(out)