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