[1,1,2,2,2,3,2,3,3,4,3,4,4,4,5,3,4,5,5,5,6,4,5,6,
6,6,6,7,4,6,6,7,7,7,7,8,5,6,7,8,8,8,8,8,9,5,7,8,8,
9,9,9,9,9,10,6,8,9,9,10,10,10,10,10,10,11,6,8,9,
10,10,11,11,11,11,11,11,12,7,9,10,11,11,12,12,12,
12,12,12,12,13,7,10,11,12,12,12,13,13,13,13,13,13,
13,14,8,10,12,12,13,13,14,14,14,14,14,14,14,14,15]
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