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1S=4;
2puzzle_input=[|
30, 16, 7, 0, 0, 14, 0, 4, 6, 0, 10, 0, 0, 0, 1, 0|
43, 0, 0, 14, 0, 7, 9, 0, 0, 0, 8, 0, 2, 0, 10, 0|
50, 0, 0, 10, 15, 0, 0, 3, 0, 16, 5, 0, 4, 0, 7, 0|
60, 9, 8, 0, 0, 0, 10, 0, 0, 3, 0, 0, 0, 0, 0, 0|
76, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 5, 0, 1, 12, 0|
816, 11, 2, 0, 0, 0, 0, 13, 8, 0, 0, 10, 7, 0, 0, 6|
915, 0, 0, 0, 0, 0, 3, 0, 0, 12, 0, 7, 0, 0, 0, 14|
100, 8, 0, 0, 0, 0, 1, 9, 4, 15, 0, 0, 13, 3, 0, 0|
110, 0, 11, 3, 0, 0, 14, 12, 10, 13, 0, 0, 0, 0, 6, 0|
1212, 0, 0, 0, 3, 0, 6, 0, 0, 9, 0, 0, 0, 0, 0, 1|
138, 0, 0, 6, 10, 0, 0, 11, 2, 0, 0, 0, 0, 12, 3, 15|
140, 5, 13, 0, 16, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2|
150, 0, 0, 0, 0, 0, 15, 0, 0, 4, 0, 0, 0, 2, 14, 0|
160, 10, 0, 9, 0, 3, 12, 0, 16, 0, 0, 2, 1, 0, 0, 0|
170, 7, 0, 11, 0, 9, 0, 0, 0, 10, 15, 0, 6, 0, 0, 3|
180, 4, 0, 0, 0, 16, 0, 14, 12, 0, 11, 0, 0, 8, 9, 0
19|];