[0,1,1,2,2,2,3,3,3,4,4,3,4,5,4,5,5,4,5,6,6,6,5,6,
7,7,5,6,7,7,6,8,8,7,8,6,8,7,8,9,9,9,7,8,9,9,7,10,
8,10,10,9,10,8,10,9,11,11,11,10,8,11,9,10,11,12,
12,9,11,12,10,12,11,12,9,10,13,12,13,11,13,13,12,
10,13,11,12,13,14,14,14,10,11,14,13,12,14,13,14,
11]
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