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
input = sys.stdin.readline
# def morph(v):
#     if int(v)//2 == 0:
#         return str(int(v)*2)
#     return str(int(v)//2)
#
# cases = int(input())
# for t in range(cases):
#     a = []
#     for i in range(9):
#         a.append(list(input()))
#
#     a[0][0] = morph(a[0][0])
#     a[1][3] = morph(a[1][3])
#     a[2][6] = morph(a[2][6])
#
#     a[3][1] = morph(a[3][1])
#     a[4][4] = morph(a[4][4])
#     a[5][7] = morph(a[5][7])
#
#     a[6][2] = morph(a[6][2])
#     a[7][5] = morph(a[7][5])
#     a[8][8] = morph(a[8][8])
#
#     for i in a:
#         print(''.join(i))
cases = int(input())
for t in range(cases):
    for i in range(9):
        v = list(input())
        for j in range(9):
            if v[j] == '1':
                v[j]='2'
        print(''.join(v))