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())
for _ in range(t) :
    ans = []
    for i in range(9) :
        temp = list(input())
        ans.append(temp)
    temp1 = 2
    temp2 = 5
    temp3 = 8
    i = 0
    k = 0
    res = []
    for i in range(3) :
        str1 = (ans[k])
        str2 = (ans[k+1])
        str3 = (ans[k+2])
        if((ord(str1[temp1])-48)+1 > 9) :
            str1[temp1] = 1
        else :
            str1[temp1] = (ord(str1[temp1])-48)+1
        if((ord(str2[temp2])-48)+1 > 9) :
            str2[temp2] = 1
        else :
            str2[temp2] = (ord(str2[temp2])-48)+1
        if((ord(str3[temp3])-48)+1 > 9) :
            str3[temp3] = 1
        else :
            str3[temp3] = (ord(str3[temp3])-48)+1
        listToStr = ''.join([str(elem) for elem in str1])
        listToStr1 = ''.join([str(elem) for elem in str2])
        listToStr2 = ''.join([str(elem) for elem in str3])
        res.append(listToStr)
        res.append(listToStr1)
        res.append(listToStr2)
        temp1 -= 1
        temp2 -= 1
        temp3 -= 1
        k += 3
    for i in range(9) :
        print(res[i])