[1,0,-1,0,-1,0,-1,0,1,2,1,2,1,2,3,4,3,4,3,4,5,6,5,
6,7,8,9,10,9,10,9,10,11,12,13,14,13,14,15,16,15,
16,15,16,17,18,17,18,19,20,21,22,21,22,23,24,25,
26,25,26,25,26,27,28,29,30,29,30,31,32,31,32,31,
32,33,34,35,36,35,36,37,38,37,38,39,40,41,42,41,
42,43,44,45]
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