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 PYTHON):

Solution:
p=['1','2','3','4','5','6','7','8','9']
for _ in range(input()):
    l=[]
    for i in range(9):
        l1=list(raw_input())
        l.append(l1)
    q=[l[0][0],l[1][4],l[2][8],l[4][1],l[5][5],l[3][6],l[8][2],l[6][3],l[7][7]]
    r='a'
    for i in p:
        if i not in q:
            r=i
            break
    if r!='a':
        l[0][0],l[1][4],l[2][8],l[4][1],l[5][5],l[3][6],l[8][2],l[6][3],l[7][7]=r,r,r,r,r,r,r,r,r
    else:
        q=[l[1][1],l[2][5],l[0][6],l[5][2],l[3][3],l[4][7],l[6][0],l[7][4],l[8][8]]
        r='a'
        for i in p:
            if i not in q:
                r=i
                break
        if r!='a':
            l[1][1],l[2][5],l[0][6],l[5][2],l[3][3],l[4][7],l[6][0],l[7][4],l[8][8]=r,r,r,r,r,r,r,r,r
        else:
            q=[l[2][2],l[0][3],l[1][7],l[3][0],l[4][4],l[5][8],l[7][1],l[8][5],l[6][6]]
            r='a'
            for i in p:
                if i not in q:
                    r=i
                    break
            if r!='a':
                l[2][2],l[0][3],l[1][7],l[3][0],l[4][4],l[5][8],l[7][1],l[8][5],l[6][6]=r,r,r,r,r,r,r,r,r
            else:
                l[9]=0

    for i in l:
        k=''
        for j in i:
            k+=j
        print k