[0,1,1,1,2,2,2,2,3,4,4,4,5,5,5,5,6,6,7,7,8,8,8,8,
9,10,10,10,10,11,11,11,12,12,13,13,14,14,14,14,15,
15,15,16,16,17,17,17,18,19,19,19,20,20,20,20,21,
21,22,22,22,23,23,23,24,24,24,25,25,25,26,26,27,
27,28,28,28,29,29,29,30,31,31,31,32,32,32,32,33,
33,34,34,34,35,35,35,36,36,37,37,38]
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