[0,1,2,2,2,2,2,2,2,2,3,4,4,5,6,6,7,8,8,9,10,10,11,
12,12,13,14,14,15,16,16,16,16,16,16,16,16,17,18,
18,18,18,18,18,18,18,19,20,20,20,20,20,20,20,20,
21,22,22,22,22,22,22,22,22,23,24,24,24,24,24,24,
24,24,25,26,26,26,26,26,26,26,26,27,28,28,28,28,
28,28,28,28,29,30,30,31,32,32,33,34,34,35,36,36,
37]
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