[0,0,1,1,1,2,3,3,4,4,4,5,6,6,7,7,7,8,9,9,10,10,10,
11,12,12,13,13,13,14,15,15,16,16,16,17,18,18,19,
19,19,20,21,21,22,22,22,23,24,24,25,25,25,26,27,
27,28,28,28,29,30,30,31,31,31,32,33,33,34,34,34,
35,36,36,37,37,37,38,39,39,40,40,40,41,42,42,43,
43,43,44]
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