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:
def ans(sudoku):
    #sudoku is 2-D matrix
    changes = 9
    indices = [[0,6],[1,1],[2,5],[3,8],[4,2],[5,4],[6,7],[7,0],[8,3]]
    k = 0
    while(changes>0):
        #element_index is indices[k][0]and indices[k][1]
        row = sudoku[indices[k][0]]
        column = [sudoku[i][indices[k][1]] for i in range(9)]
        a = list(set(column))
        b = list(set(row))
        for i in range(len(a)):
            if a[i]==sudoku[indices[k][0]][indices[k][1]]:
                del a[i]
                break
        for i in range(len(b)):
            if b[i]==sudoku[indices[k][0]][indices[k][1]]:
                del b[i]
                break
        for i in range(len(a)):
            if a[i] in b:
                sudoku[indices[k][0]][indices[k][1]]=a[i]
                break
        
        k+=1
        changes-=1
        
    return(sudoku)

n = int(input())
for i in range(n):
    sudoku = []
    for j in range(9):
        m = input()
        a = []
        for k in range(9):
            a.append(m[k])
        sudoku.append(a)
    s = ans(sudoku)
    for i in s:
        w = ''.join(i)
        print(w)