[0,0,1,1,1,3,1,3,4,3,1,10,1,3,9,7,1,12,1,12,11,3,
1,24,6,3,13,14,1,27,1,15,15,3,13,37,1,3,17,30,1,
33,1,18,33,3,1,52,8,18,21,20,1,39,17,36,23,3,1,78,
1,3,41,31,19,45,1,24,27,39,1,87,1,3,49,26,19,51,1,
66,40,3,1,98,23,3,33,48,1,99,21,30,35,3,25,108,1]
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