[0,0,0,0,1,0,1,0,2,1,2,0,3,1,3,0,4,2,4,1,5,2,5,0,
6,3,6,1,7,3,7,0,8,4,8,2,9,4,9,1,10,5,10,2,11,5,11,
0,12,6,12,3,13,6,13,1,14,7,14,3,15,7,15,0,16,8,16,
4,17,8,17,2,18,9,18,4,19,9,19,1,20,10,20,5,21,10,
21,2,22,11,22,5,23,11,23,0,24,12,24,6,25,12,25,3,
26,13,26,6,27,13]
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