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1S=4;
2puzzle_input=[|
30, 13, 0, 12, 5, 0, 11, 0, 0, 0, 15, 6, 4, 14, 0, 0|
40, 0, 8, 2, 0, 16, 0, 0, 0, 0, 13, 1, 0, 0, 0, 11|
514, 0, 6, 1, 0, 0, 0, 9, 0, 0, 11, 0, 0, 2, 5, 0|
615, 0, 0, 0, 1, 0, 0, 13, 3, 5, 0, 0, 0, 6, 8, 7|
79, 15, 0, 0, 0, 0, 13, 0, 0, 0, 2, 0, 8, 0, 0, 12|
86, 14, 2, 0, 12, 0, 1, 0, 10, 0, 0, 0, 0, 0, 13, 0|
90, 0, 0, 11, 0, 0, 0, 10, 0, 0, 9, 5, 0, 0, 0, 2|
100, 0, 0, 13, 0, 7, 0, 2, 14, 12, 0, 0, 3, 10, 0, 0|
110, 0, 12, 9, 0, 0, 8, 7, 5, 0, 6, 0, 11, 0, 0, 0|
128, 0, 0, 0, 6, 14, 0, 0, 11, 0, 0, 0, 7, 0, 0, 0|
130, 1, 0, 0, 0, 0, 0, 3, 0, 8, 0, 14, 0, 16, 4, 5|
145, 0, 0, 14, 0, 1, 0, 0, 0, 3, 0, 0, 0, 0, 15, 10|
1511, 2, 5, 0, 0, 0, 7, 14, 6, 0, 0, 16, 0, 0, 0, 13|
160, 10, 7, 0, 0, 5, 0, 0, 15, 0, 0, 0, 14, 12, 0, 9|
1712, 0, 0, 0, 13, 11, 0, 0, 0, 0, 5, 0, 10, 15, 0, 0|
180, 0, 1, 3, 10, 12, 0, 0, 0, 11, 0, 9, 2, 0, 16, 0
19|];