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:
for i in range(int(input())):
    s1=str(input())
    s2=str(input())
    s3=str(input())
    s4=str(input())
    s5=str(input())
    s6=str(input())
    s7=str(input())
    s8=str(input())
    s9=str(input())
    print(s1[1]+s1[1:])
    print(s2[0:4]+s2[3]+s2[5:])
    print(s3[0:8]+s3[7])
    print(s4[0]+s4[2]+s4[2]+s4[3:])
    print(s5[0:5]+s5[4]+s5[6:])
    print(s6[0:6]+s6[7]+s6[7:])
    print(s7[0:2]+s7[1]+s7[3:])
    print(s8[0:3]+s8[4]+s8[4:])
    print(s9[0:7]+s9[8]+s9[8])