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 tc in range(t):
    s1=list(input())
    if int(s1[0])==9:
        s1[0]=str(1)
    else:
        s1[0]=str(int(s1[0])+1)
    s2 = list(input())
    if int(s2[3]) == 9:
        s2[3] = str(1)
    else:
        s2[3] =str(int(s2[3])+1)
    s3=list(input())
    if int(s3[6])==9:
        s3[6]=str(1)
    else:
        s3[6]=str(int(s3[6])+1)
    s4 = list(input())
    if int(s4[1]) == 9:
        s4[1] = str(1)
    else:
        s4[1] = str(int(s4[1]) + 1)
    s5 = list(input())
    if int(s5[4]) == 9:
        s5[4] = str(1)
    else:
        s5[4] = str(int(s5[4]) + 1)
    s6 = list(input())
    if int(s6[7]) == 9:
        s6[7] = str(1)
    else:
        s6[7] = str(int(s6[7]) + 1)
    s7 = list(input())
    if int(s7[2]) == 9:
        s7[2] = str(1)
    else:
        s7[2] = str(int(s7[2]) + 1)
    s8 = list(input())
    if int(s8[5]) == 9:
        s8[5] = str(1)
    else:
        s8[5] = str(int(s8[5]) + 1)
    s9 = list(input())
    if int(s9[8]) == 9:
        s9[8] = str(1)
    else:
        s9[8] = str(int(s9[8]) + 1)
    print(''.join(s1))
    print(''.join(s2))
    print(''.join(s3))
    print(''.join(s4))
    print(''.join(s5))
    print(''.join(s6))
    print(''.join(s7))
    print(''.join(s8))
    print(''.join(s9))