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