[1,1,1,3,2,1,9,9,3,1,31,36,18,4,1,113,155,90,30,5,
1,431,678,465,180,45,6,1,1697,3017,2373,1085,315,
63,7,1,6847,13576,12068,6328,2170,504,84,8,1,
28161,61623,61092,36204,14238,3906,756,108,9,1,
117631,281610,308115,203640,90510,28476,6510,1080,
135,10,1]
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