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