S=4;
puzzle_input=[|
0, 13, 0, 12, 5, 0, 11, 0, 0, 0, 15, 6, 4, 14, 0, 0|
0, 0, 8, 2, 0, 16, 0, 0, 0, 0, 13, 1, 0, 0, 0, 11|
14, 0, 6, 1, 0, 0, 0, 9, 0, 0, 11, 0, 0, 2, 5, 0|
15, 0, 0, 0, 1, 0, 0, 13, 3, 5, 0, 0, 0, 6, 8, 7|
9, 15, 0, 0, 0, 0, 13, 0, 0, 0, 2, 0, 8, 0, 0, 12|
6, 14, 2, 0, 12, 0, 1, 0, 10, 0, 0, 0, 0, 0, 13, 0|
0, 0, 0, 11, 0, 0, 0, 10, 0, 0, 9, 5, 0, 0, 0, 2|
0, 0, 0, 13, 0, 7, 0, 2, 14, 12, 0, 0, 3, 10, 0, 0|
0, 0, 12, 9, 0, 0, 8, 7, 5, 0, 6, 0, 11, 0, 0, 0|
8, 0, 0, 0, 6, 14, 0, 0, 11, 0, 0, 0, 7, 0, 0, 0|
0, 1, 0, 0, 0, 0, 0, 3, 0, 8, 0, 14, 0, 16, 4, 5|
5, 0, 0, 14, 0, 1, 0, 0, 0, 3, 0, 0, 0, 0, 15, 10|
11, 2, 5, 0, 0, 0, 7, 14, 6, 0, 0, 16, 0, 0, 0, 13|
0, 10, 7, 0, 0, 5, 0, 0, 15, 0, 0, 0, 14, 12, 0, 9|
12, 0, 0, 0, 13, 11, 0, 0, 0, 0, 5, 0, 10, 15, 0, 0|
0, 0, 1, 3, 10, 12, 0, 0, 0, 11, 0, 9, 2, 0, 16, 0
|];