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