[1,2,2,3,2,4,2,5,4,6,2,7,2,8,6,9,2,10,2,11,8,12,2,
13,2,14,10,15,2,16,2,17,4,18,8,19,2,20,4,21,2,22,
2,23,16,24,2,25,8,26,18,27,2,28,2,29,4,30,2,31,2,
32,22,33,6,34,2,35,2,36,2,37,2,38,16,39,2,40,2,41,
2,42,2,43,18,44,2,45,2,46,2,47,32,48,20,49,2,50,
34,51,2,52,2,53,16]
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