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:
for _ in range(int(input())):
    sud=[]
    for i in range(9):
        sud.append(input())
    temp1=sud[0][1]+sud[0][1:]
    temp2=sud[1][:3]+sud[1][4]+sud[1][4:]
    temp3=sud[2][:6]+sud[2][7]+sud[2][7:]
    temp4=sud[3][0]+sud[3][2]+sud[3][2:]
    temp5=sud[4][:4]+sud[4][5]+sud[4][5:]
    temp6=sud[5][:7]+sud[5][8]+sud[5][8]
    temp7=sud[6][:2]+sud[6][3]+sud[6][3:]
    temp8=sud[7][:5]+sud[7][6]+sud[7][6:]
    temp9=sud[8][:8]+sud[8][7]
    new_sud=[temp1,temp2,temp3,temp4,temp5,temp6,temp7,temp8,temp9]

    for i in new_sud:
        print(i)
    # print([len(i)for i in new_sud])