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:
t = int(input())

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

for testcase in range(t) :
    sudoku = []
    for i in range(9) :
        add = input()
        sudoku.append(list(add))
    #print(sudoku)
    counter = 0
    ans = ""
    while ans == "" :
        cnt = {}
        for point in points :
            x = point[0]
            y = (point[1] + counter) % 9 
            if sudoku[x][y] in cnt.keys() :
                cnt[sudoku[x][y]] += 1
            else :
                cnt[sudoku[x][y]] = 1
        for i in range(1,10) :
            if str(i) not in cnt.keys() :
                ans = str(i)
                break
        counter += 1
    counter -= 1
    #print(ans)
    for point in points :
        x = point[0]
        y = (point[1] + counter) % 9
        #print(x , y)
        sudoku[x][y] = ans
    for i in sudoku :
        for j in i :
            print(j,end = '')
        print()