[0,1,2,2,6,3,4,3,24,7,8,4,12,5,6,4,120,25,26,8,30,
9,10,5,48,13,14,6,18,7,8,5,720,121,122,26,126,27,
28,9,144,31,32,10,36,11,12,6,240,49,50,14,54,15,
16,7,72,19,20,8,24,9,10,6,5040,721,722,122,726,
123,124,27,744,127,128,28,132,29,30,10,840,145,
146,32]
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