[0,0,1,0,2,3,1,2,4,5,3,4,6,7,5,6,8,9,7,8,10,11,9,
10,12,13,11,12,14,15,13,14,16,17,15,16,18,19,17,
18,20,21,19,20,22,23,21,22,24,25,23,24,26,27,25,
26,28,29,27,28,30,31,29,30,32,33,31,32,34,35,33,
34,36,37,35,36,38,39,37,38,40,41,39,40,42,43,41,
42,44,45,43,44,46]
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