[1,1,2,1,6,3,1,24,12,4,2,1,120,60,20,10,6,5,3,1,
720,360,120,60,36,24,30,18,12,6,4,2,1,5040,2520,
840,420,252,168,120,210,126,84,60,42,28,20,14,10,
6,7,5,3,1,40320,20160,6720,3360,2016,1344,960,720,
1680,1008,672,480,360,336,224,160,120,112,80,60,
48,36,24,56,40,30,24,18,12,8,6,4,2,1]
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