Shortening codes

Your task is to check if sudoku is solved correctly.

Input

The first line of the standard input contains one integer t (t<10001) which is the number of test cases.

For each test there are nine lines and in each of them there are nine integers.

Output

Print YES if sudoku is solved correctly or NO is it's not.

Example

Input
2
1 3 2 5 7 9 4 6 8
4 9 8 2 6 1 3 7 5
7 5 6 3 8 4 2 1 9
6 4 3 1 5 8 7 9 2
5 2 1 7 9 3 8 4 6
9 8 7 4 2 6 5 3 1
2 1 4 9 3 5 6 8 7
3 6 5 8 1 7 9 2 4
8 7 9 6 4 2 1 5 3
1 3 2 5 7 9 4 6 8
4 9 8 2 6 1 3 7 5
7 5 6 3 8 4 2 1 9
6 4 3 1 5 8 7 9 2
5 2 1 7 9 3 8 4 6
9 8 7 4 2 6 5 3 1
2 1 4 9 3 5 6 8 7
3 6 5 8 1 7 9 2 4
8 7 9 6 4 2 1 3 5

Output:
YES
NO

Special thanks to Wanderley Guimarães for tests to this task.