MM3 vs ω-Y
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本词条展示 MM3 和 ω-Y weak magma 的分析，来自 HypCos。以下的分析中，左为 ω-Y weak magma，右为 MM3。
1,3 = ()(1,1)
1,3,2 = ()(1,1)(1)
1,3,2,5 = ()(1,1)(1)(2,1,1)
1,3,3 = ()(1,1)(1,1)
1,3,4 = ()(1,1)(2)
1,3,4,2,5 = ()(1,1)(2)(1)(2,1,1)
1,3,4,2,5,6 = ()(1,1)(2)(1)(2,1,1)(3)
1,3,4,2,5,6,5 = ()(1,1)(2)(1)(2,1,1)(3)(2,1,1)
1,3,4,2,5,6,9 = ()(1,1)(2)(1)(2,1,1)(3)(4,1,1)
1,3,4,2,5,7 = ()(1,1)(2)(1)(2,1,1)(3,1)
1,3,4,2,5,8 = ()(1,1)(2)(1)(2,1,1)(3,1,1)
1,3,4,2,5,9 = ()(1,1)(2)(1)(2,1,1)(3,2)
1,3,4,3 = ()(1,1)(2)(1,1)
1,3,4,4,3 = ()(1,1)(2)(2)(1,1)
1,3,4,5,3 = ()(1,1)(2)(3)(1,1)
1,3,4,7 = ()(1,1)(2)(3,1,1)
1,3,4,7,8 = ()(1,1)(2)(3,1,1)(4)
1,3,4,7,11 = ()(1,1)(2)(3,1,1)(4,2)
1,3,5 = ()(1,1)(2,1)
1,3,5,6 = ()(1,1)(2,1)(3)
1,3,5,6,4,7,12 = ()(1,1)(2,1)(3)(2)(3,1,1)(4,2,1)
1,3,5,6,4,7,12,18 = ()(1,1)(2,1)(3)(2)(3,1,1)(4,2,1)(5,3)
1,3,5,6,5 = ()(1,1)(2,1)(3)(2,1)
1,3,5,7 = ()(1,1)(2,1)(3,1)
1,3,6 = ()(1,1)(2,1)(3,2)
1,3,6,2,5,9 = ()(1,1)(2,1)(3,2)(1)(2,1,1)(3,2)
1,3,6,2,5,10 = ()(1,1)(2,1)(3,2)(1)(2,1,1)(3,2,1)
1,3,6,2,5,11 = ()(1,1)(2,1)(3,2)(1)(2,1,1)(3,2,1)(4,3,2)
1,3,6,3 = ()(1,1)(2,1)(3,2)(1,1)
1,3,6,3,5 = ()(1,1)(2,1)(3,2)(1,1)(2,1)
1,3,6,3,6 = ()(1,1)(2,1)(3,2)(1,1)(2,1)(3,2)
1,3,6,5 = ()(1,1)(2,1)(3,2)(2,1)
1,3,6,5,8 = ()(1,1)(2,1)(3,2)(2,1)(3,2)
1,3,6,5,8,6 = ()(1,1)(2,1)(3,2)(3)
1,3,6,5,8,6,9 = ()(1,1)(2,1)(3,2)(3)(4,1,1)
1,3,6,5,8,6,9,14 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)
1,3,6,5,8,6,9,15 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)
1,3,6,5,8,6,9,15,14,22 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(5,2,1)(6,3,2)
1,3,6,5,8,6,9,15,14,22,15 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(6)
1,3,6,5,8,6,9,15,14,22,16 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(6,1)
1,3,6,5,8,6,9,15,14,22,17 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(6,1,1)
1,3,6,5,8,6,9,15,14,22,17,23 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(6,1,1)(7,2,1)(8,3,2)
1,3,6,5,8,6,9,15,14,22,18 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(6,2)
1,3,6,5,8,6,9,15,14,22,18,25,38 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(6,2)(7,3,1,1)(8,4,2,1)(9,5,3,2)
1,3,6,5,8,6,9,15,14,22,19 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(6,2,1)
1,3,6,5,8,6,9,15,14,22,19,27 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(6,2,1)(7,3,2)
1,3,6,5,8,6,9,15,14,22,20 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(6,3)
1,3,6,5,8,6,9,15,14,22,20,29,44 = ()(1,1)(2,1)(3,2)(3)(4,1,1)(5,2,1)(6,3,2)(6,3)(7,4,1,1)(8,5,2,1)(9,6,3,2)
1,3,6,5,8,7 = ()(1,1)(2,1)(3,2)(3,1)
1,3,6,5,8,7,10 = ()(1,1)(2,1)(3,2)(3,1)(4,2)
1,3,6,6 = ()(1,1)(2,1)(3,2)(3,2)
1,3,6,7 = ()(1,1)(2,1)(3,2)(4)
1,3,6,7,10,16 = ()(1,1)(2,1)(3,2)(4)(5,1,1)(6,2,1)(7,3,2)
1,3,6,8 = ()(1,1)(2,1)(3,2)(4,1)
1,3,6,8,11 = ()(1,1)(2,1)(3,2)(4,1)(5,2)
1,3,6,9 = ()(1,1)(2,1)(3,2)(4,2)
1,3,6,10 = ()(1,1)(2,1)(3,2)(4,3)
1,3,6,11 = ()(1,1)(2,1)(3,2,1)
1,3,6,11,5 = ()(1,1)(2,1)(3,2,1)(2,1)
1,3,6,11,5,8,13 = ()(1,1)(2,1)(3,2,1)(2,1)(3,2,1)
1,3,6,11,5,8,13,6 = ()(1,1)(2,1)(3,2,1)(3)
1,3,6,11,5,8,13,7 = ()(1,1)(2,1)(3,2,1)(3,1)
1,3,6,11,6 = ()(1,1)(2,1)(3,2,1)(3,2)
1,3,6,11,6,11 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)
1,3,6,11,7 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)
1,3,6,11,7,10 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)
1,3,6,11,7,10,15 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)
1,3,6,11,7,10,16 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2)
1,3,6,11,7,10,16,27 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)
1,3,6,11,7,10,16,27,15,23,36 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(6,2,1)(7,3,2,1)
1,3,6,11,7,10,16,27,15,23,36,16 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7)
1,3,6,11,7,10,16,27,15,23,36,22 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,1)
1,3,6,11,7,10,16,27,16 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)
1,3,6,11,7,10,16,27,16,27 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)
1,3,6,11,7,10,16,27,17 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8)
1,3,6,11,7,10,16,27,18 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,1)
1,3,6,11,7,10,16,27,21 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,2,1)
1,3,6,11,7,10,16,27,21,29,42 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,2,1)(9,3,2,1)
1,3,6,11,7,10,16,27,21,29,42,29 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,2,1)(9,3,2,1)(9,3,2)
1,3,6,11,7,10,16,27,21,29,42,29,42 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,2,1)(9,3,2,1)(9,3,2)(10,4,3,1)
1,3,6,11,7,10,16,27,21,29,42,30 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,2,1)(9,3,2,1)(9,3,2)(10,4,3,1)(10)
1,3,6,11,7,10,16,27,21,29,42,35 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,3)
1,3,6,11,7,10,16,27,21,29,42,36 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,3,1)
1,3,6,11,7,10,16,27,22 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,3,2)
1,3,6,11,7,10,16,27,23 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,4)
1,3,6,11,7,10,16,27,23,33 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,4)(9,5,1,1)
1,3,6,11,7,10,16,27,23,33,49 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,4)(9,5,1,1)(10,6,2,1)(11,7,3,2)
1,3,6,11,7,10,16,27,23,33,49,76 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4)(5,1,1)(6,2,1)(7,3,2,1)(7,3,2)(8,4,3,1)(8,4)(9,5,1,1)(10,6,2,1)(11,7,3,2,1)
1,3,6,11,8 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4,1)
1,3,6,11,8,11,16 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4,1)(5,2,1)
1,3,6,11,9 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4,2)
1,3,6,11,9,14 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4,2)(5,3,1)
1,3,6,11,10 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4,3)
1,3,6,11,10,16 = ()(1,1)(2,1)(3,2,1)(3,2)(4,3,1)(4,3)(5,4,1)
1,3,6,11,11 = ()(1,1)(2,1)(3,2,1)(3,2,1)
1,3,6,11,12 = ()(1,1)(2,1)(3,2,1)(4)
1,3,6,11,12,15,21,32 = ()(1,1)(2,1)(3,2,1)(4)(5,1,1)(6,2,1)(7,3,2,1)
1,3,6,11,13 = ()(1,1)(2,1)(3,2,1)(4,1)
1,3,6,11,13,16,21 = ()(1,1)(2,1)(3,2,1)(4,1)(5,2,1)
1,3,6,11,14 = ()(1,1)(2,1)(3,2,1)(4,2)
1,3,6,11,14,5 = ()(1,1)(2,1)(3,2,1)(4,2)(2,1)
1,3,6,11,14,5,8,13,16 = ()(1,1)(2,1)(3,2,1)(4,2)(2,1)(3,2,1)(4,2)
1,3,6,11,14,5,8,13,16,6 = ()(1,1)(2,1)(3,2,1)(4,2)(3)
1,3,6,11,14,5,8,13,16,7 = ()(1,1)(2,1)(3,2,1)(4,2)(3,1)
1,3,6,11,14,6 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)
1,3,6,11,14,6,11 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)
1,3,6,11,14,6,11,14 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)
1,3,6,11,14,7 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(4)
1,3,6,11,14,7,10,16,27,41 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(4)(5,1,1)(6,2,1)(7,3,2,1)(8,4,2)
1,3,6,11,14,8 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(4,1)
1,3,6,11,14,9 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(4,2)
1,3,6,11,14,10 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(4,3)
1,3,6,11,14,11 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(4,3,1)
1,3,6,11,14,11,14 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(4,3,1)(5,2)
1,3,6,11,14,12 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(5)
1,3,6,11,14,13 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(5,1)
1,3,6,11,14,14 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(5,2)
1,3,6,11,14,15 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(6)
1,3,6,11,14,19 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(6,3,1)
1,3,6,11,14,19,14 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(6,3,1)(5,2)
1,3,6,11,14,19,19 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(6,3,1)(6,3,1)
1,3,6,11,14,19,20 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(6,3,1)(7)
1,3,6,11,14,19,22 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(6,3,1)(7,2)
1,3,6,11,14,19,22,27 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,2)(6,3,1)(7,2)(8,3,1)
1,3,6,11,15 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)
1,3,6,11,15,6,11,14 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(3,2)(4,3,1)(5,2)
1,3,6,11,15,6,11,15 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(3,2)(4,3,1)(5,3)
1,3,6,11,15,10 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3)
1,3,6,11,15,10,16,21 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3)(5,4,1)(6,4)
1,3,6,11,15,11 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)
1,3,6,11,15,11,6,11,15,11 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(3,2)(4,3,1)(5,3)(4,3,1)
1,3,6,11,15,11,10 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(3,2)(4,3,1)(5,3)(4,3,1)(4,3)
1,3,6,11,15,11,11 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(3,2,1)
1,3,6,11,15,11,14 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)
1,3,6,11,15,11,14,6,11,15,11,14 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3,1)(5,2)
1,3,6,11,15,11,14,11 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3,1)(5,2)(4,3,1)
1,3,6,11,15,11,14,14 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3,1)(5,2)(5,2)
1,3,6,11,15,11,14,19 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3,1)(5,2)(6,3,1)
1,3,6,11,15,11,14,19,23 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3,1)(5,2)(6,3,1)(7,3)
1,3,6,11,15,11,14,19,23,19 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3,1)(5,2)(6,3,1)(7,3)(6,3,1)
1,3,6,11,15,11,15 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3,1)(5,3)
1,3,6,11,15,11,15,10,16,21,16,21 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3,1)(5,3)(4,3)(5,4,1)(6,4)(5,4,1)(6,4)
1,3,6,11,15,11,15,11 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2,1)
1,3,6,11,15,11,15,11,14 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2,1)(4,2)
1,3,6,11,15,11,15,11,15 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2,1)(4,2)(3,2)(4,3,1)(5,3)(4,3,1)(5,3)(4,3,1)(5,3)
1,3,6,11,15,11,15,11,15,11 = ()(1,1)(2,1)(3,2,1)(4,2)(3,2,1)(4,2)(3,2,1)(4,2)(3,2,1)
1,3,6,11,15,12 = ()(1,1)(2,1)(3,2,1)(4,2)(4)
1,3,6,11,15,13 = ()(1,1)(2,1)(3,2,1)(4,2)(4,1)
1,3,6,11,15,14 = ()(1,1)(2,1)(3,2,1)(4,2)(4,2)
1,3,6,11,15,15 = ()(1,1)(2,1)(3,2,1)(4,2)(4,2)(3,2)(4,3,1)(5,3)(5,3)
1,3,6,11,15,15,11 = ()(1,1)(2,1)(3,2,1)(4,2)(4,2)(3,2,1)
1,3,6,11,15,15,14 = ()(1,1)(2,1)(3,2,1)(4,2)(4,2)(4,2)
1,3,6,11,15,16 = ()(1,1)(2,1)(3,2,1)(4,2)(5)
1,3,6,11,15,18 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)
1,3,6,11,15,18,6,11,15,18 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2)(4,3,1)(5,3)(6,2)
1,3,6,11,15,18,7 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2)(4,3,1)(5,3)(6,2)(4)
1,3,6,11,15,18,11 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2)(4,3,1)(5,3)(6,2)(4,3,1)
1,3,6,11,15,18,15 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2)(4,3,1)(5,3)(6,2)(5,3)
1,3,6,11,15,18,18 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2)(4,3,1)(5,3)(6,2)(6,2)
1,3,6,11,15,18,23 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2)(4,3,1)(5,3)(6,2)(7,3,1)
1,3,6,11,15,19 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2)(4,3,1)(5,3)(6,3)
1,3,6,11,15,19,10,16,21,26 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2)(4,3,1)(5,3)(6,3)(4,3)(5,4,1)(6,4)(7,4)
1,3,6,11,15,19,11 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2,1)
1,3,6,11,15,19,11,14 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2,1)(4,2)
1,3,6,11,15,19,11,15,18 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2,1)(4,2)(5,2)
1,3,6,11,15,19,11,15,19,11 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(3,2,1)(4,2)(5,2)(3,2,1)
1,3,6,11,15,19,12 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(4)
1,3,6,11,15,19,14 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(4,2)
1,3,6,11,15,19,15,11 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(4,2)(3,2,1)
1,3,6,11,15,19,18 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(5,2)
1,3,6,11,15,19,19,11 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(5,2)(3,2,1)
1,3,6,11,15,19,22 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(6,2)
1,3,6,11,15,19,23,11 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(6,2)(3,2,1)
1,3,6,11,15,19,23,26 = ()(1,1)(2,1)(3,2,1)(4,2)(5,2)(6,2)(7,2)
1,3,6,11,15,20 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)
1,3,6,11,15,20,6,11,15,20 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(3,2)(4,3,1)(5,3)(6,4)
1,3,6,11,15,20,11 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(3,2,1)
1,3,6,11,15,20,11,14 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(3,2,1)(4,2)
1,3,6,11,15,20,11,15,18 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(3,2,1)(4,2)(5,2)
1,3,6,11,15,20,11,15,20 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(3,2,1)(4,2)(5,3)
1,3,6,11,15,20,12 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(4)
1,3,6,11,15,20,14 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(4,2)
1,3,6,11,15,20,15,18 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(4,2)(5,2)
1,3,6,11,15,20,15,20 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(4,2)(5,3)
1,3,6,11,15,20,16 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(5)
1,3,6,11,15,20,18 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(5,2)
1,3,6,11,15,20,19,22 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(5,2)(6,2)
1,3,6,11,15,20,19,24 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(5,2)(6,3)
1,3,6,11,15,20,20 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(5,3)
1,3,6,11,15,20,23 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(6,2)
1,3,6,11,15,20,24,29 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(6,2)(7,3)
1,3,6,11,15,20,25 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(6,3)
1,3,6,11,15,20,26 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3)(6,4)
1,3,6,11,15,21 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)
1,3,6,11,15,21,6,11,15,21 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(3,2)(4,3,1)(5,3)(6,4,1)
1,3,6,11,15,21,11 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(3,2,1)
1,3,6,11,15,21,14 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(4,2)
1,3,6,11,15,21,15 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(4,2)(3,2)(4,3,1)(5,3)(6,4,1)(5,3)
1,3,6,11,15,21,15,18 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(4,2)(5,2)
1,3,6,11,15,21,15,20 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(4,2)(5,3)
1,3,6,11,15,21,15,21 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(4,2)(5,3,1)
1,3,6,11,15,21,18 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(5,2)
1,3,6,11,15,21,19 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(5,2)(3,2)(4,3,1)(5,3)(6,4,1)(6,3)
1,3,6,11,15,21,20 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(5,3)
1,3,6,11,15,21,21 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(5,3,1)
1,3,6,11,15,21,24 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(6,2)
1,3,6,11,15,21,25 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(6,2)(3,2)(4,3,1)(5,3)(6,4,1)(7,3)
1,3,6,11,15,21,26 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(6,3)
1,3,6,11,15,21,26,33 = ()(1,1)(2,1)(3,2,1)(4,2)(5,3,1)(6,3)(7,4,1)
1,3,6,11,16 = ()(1,1)(2,1)(3,2,1)(4,2,1)
1,3,6,11,17 = ()(1,1)(2,1)(3,2,1)(4,3)
1,3,6,11,18 = ()(1,1)(2,1)(3,2,1)(4,3,1)
1,3,6,11,19 = ()(1,1)(2,1)(3,2,1)(4,3,2)
1,3,6,11,20 = ()(1,1)(2,1)(3,2,1)(4,3,2,1)
1,3,6,12 = ()(1,1)(2,1)(3,2,1,1)
1,3,6,12,5,8,14 = ()(1,1)(2,1)(3,2,1,1)(2,1)(3,2,1,1)
1,3,6,12,5,8,14,7 = ()(1,1)(2,1)(3,2,1,1)(3,1)
1,3,6,12,6 = ()(1,1)(2,1)(3,2,1,1)(3,2)
1,3,6,12,6,12 = ()(1,1)(2,1)(3,2,1,1)(3,2)(4,3,1,1)
1,3,6,12,7 = ()(1,1)(2,1)(3,2,1,1)(3,2)(4,3,1,1)(4)
1,3,6,12,10 = ()(1,1)(2,1)(3,2,1,1)(3,2)(4,3,1,1)(4,3)
1,3,6,12,11 = ()(1,1)(2,1)(3,2,1,1)(3,2,1)
1,3,6,12,11,21 = ()(1,1)(2,1)(3,2,1,1)(3,2,1)(4,3,2,1,1)
1,3,6,12,11,21,20 = ()(1,1)(2,1)(3,2,1,1)(3,2,1)(4,3,2,1,1)(4,3,2,1)
1,3,6,12,12 = ()(1,1)(2,1)(3,2,1,1)(3,2,1,1)
1,3,6,12,15 = ()(1,1)(2,1)(3,2,1,1)(4,2)
1,3,6,12,15,6 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2)
1,3,6,12,15,6,12,15 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2)(4,3,1,1)(5,2)
1,3,6,12,15,7 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2)(4,3,1,1)(5,2)(4)
1,3,6,12,15,12 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2)(4,3,1,1)(5,2)(4,3,1,1)
1,3,6,12,15,15 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2)(4,3,1,1)(5,2)(5,2)
1,3,6,12,15,21 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2)(4,3,1,1)(5,2)(6,3,1,1)
1,3,6,12,15,21,24 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2)(4,3,1,1)(5,2)(6,3,1,1)(7,2)
1,3,6,12,16 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2)(4,3,1,1)(5,3)
1,3,6,12,16,6 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2)(4,3,1,1)(5,3)(3,2)
1,3,6,12,16,10 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2)(4,3,1,1)(5,3)(4,3)
1,3,6,12,16,11 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2,1)
1,3,6,12,16,12 = ()(1,1)(2,1)(3,2,1,1)(4,2)(3,2,1,1)
1,3,6,12,16,15 = ()(1,1)(2,1)(3,2,1,1)(4,2)(4,2)
1,3,6,12,16,15,6,12,16,15 = ()(1,1)(2,1)(3,2,1,1)(4,2)(4,2)(3,2)(4,3,1,1)(5,3)(5,2)
1,3,6,12,16,16 = ()(1,1)(2,1)(3,2,1,1)(4,2)(4,2)(3,2)(4,3,1,1)(5,3)(5,3)
1,3,6,12,16,16,11 = ()(1,1)(2,1)(3,2,1,1)(4,2)(4,2)(3,2,1)
1,3,6,12,16,17 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5)
1,3,6,12,16,19 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5,2)
1,3,6,12,16,20 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5,2)(3,2)(4,3,1,1)(5,3)(6,3)
1,3,6,12,16,20,11 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5,2)(3,2,1)
1,3,6,12,16,21 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5,3)
1,3,6,12,16,22 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5,3,1)
1,3,6,12,16,23 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5,3,1,1)
1,3,6,12,16,23,26 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5,3,1,1)(6,2)
1,3,6,12,16,23,27 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5,3,1,1)(6,2)(3,2)(4,3,1,1)(5,3)(6,4,1,1)(7,3)
1,3,6,12,16,23,27,11 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5,3,1,1)(6,2)(3,2,1)
1,3,6,12,16,23,28 = ()(1,1)(2,1)(3,2,1,1)(4,2)(5,3,1,1)(6,3)
1,3,6,12,17 = ()(1,1)(2,1)(3,2,1,1)(4,2,1)
1,3,6,12,17,27 = ()(1,1)(2,1)(3,2,1,1)(4,2,1)(5,3,2,1,1)
1,3,6,12,17,27,36 = ()(1,1)(2,1)(3,2,1,1)(4,2,1)(5,3,2,1,1)(6,3,2,1)
1,3,6,12,18 = ()(1,1)(2,1)(3,2,1,1)(4,2,1,1)
1,3,6,12,23 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)
1,3,6,12,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)
1,3,6,12,24,6 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(3,2)
1,3,6,12,24,11 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(3,2,1)
1,3,6,12,24,12 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(3,2,1,1)
1,3,6,12,24,23 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(4,3,2,1)
1,3,6,12,24,23,42 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(4,3,2,1)(5,4,3,2)
1,3,6,12,24,23,42,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(5)
1,3,6,12,24,23,42,26 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(5,2)
1,3,6,12,24,23,42,27,11 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(5,2)(3,2,1)
1,3,6,12,24,23,42,41 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(5,4,3,1)
1,3,6,12,24,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(5,4,3,2)
1,3,6,12,24,27 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,2)
1,3,6,12,24,29 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,2,1)
1,3,6,12,24,31 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,3)
1,3,6,12,24,31,23 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,3)(4,3,2,1)
1,3,6,12,24,31,23,42 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,3)(4,3,2,1)(5,4,3,2)
1,3,6,12,24,31,23,42,49 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,3)(4,3,2,1)(5,4,3,2)(6,3)
1,3,6,12,24,31,23,42,49,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,3)(5)
1,3,6,12,24,31,23,42,49,59 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,3)(7,4,1,1)
1,3,6,12,24,31,23,42,50 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,3,1)
1,3,6,12,24,31,23,42,54 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4)
1,3,6,12,24,31,23,42,54,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4)(5)
1,3,6,12,24,31,23,42,54,41 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4)(5,4,3,1)
1,3,6,12,24,31,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4)(5,4,3,2)
1,3,6,12,24,31,31 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4)(6,3)
1,3,6,12,24,31,31,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4)(6,4)(5,4,3,2)
1,3,6,12,24,31,38 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4)(7,3)
1,3,6,12,24,31,38,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4)(7,4)(5,4,3,2)
1,3,6,12,24,31,41 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4)(7,5,1,1)
1,3,6,12,24,32 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4,1)
1,3,6,12,24,34 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4,2)
1,3,6,12,24,34,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,4,3)(5,4,3,2)
1,3,6,12,24,40 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,5,2)
1,3,6,12,24,40,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,5,3)(5,4,3,2)
1,3,6,12,24,46 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)(6,5,4,3)
1,3,6,12,24,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)
1,3,6,12,24,47,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(5,4,3,2)
1,3,6,12,24,47,25 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(5,4,3,2)(6,5,4,3,1)(6)
1,3,6,12,24,47,46 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(5,4,3,2)(6,5,4,3,1)(6,5,4,3)
1,3,6,12,24,47,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(5,4,3,2,1)
1,3,6,12,24,47,50 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,2)
1,3,6,12,24,47,52 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,2,1)
1,3,6,12,24,47,54 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,3)
1,3,6,12,24,47,54,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4)(5,4,3,2)
1,3,6,12,24,47,54,24,47,54 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4)(5,4,3,2)(6,5,4,3,1)(7,3)
1,3,6,12,24,47,54,25 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4)(5,4,3,2)(6,5,4,3,1)(7,4)(6)
1,3,6,12,24,47,54,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4)(5,4,3,2)(6,5,4,3,1)(7,4)(6,5,4,3,1)
1,3,6,12,24,47,54,64 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4)(5,4,3,2)(6,5,4,3,1)(7,4)(8,5,1,1)
1,3,6,12,24,47,55 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4)(5,4,3,2)(6,5,4,3,1)(7,4,1)
1,3,6,12,24,47,57 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4)(5,4,3,2)(6,5,4,3,1)(7,4,2)
1,3,6,12,24,47,60 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4)(5,4,3,2)(6,5,4,3,1)(7,5)
1,3,6,12,24,47,60,46 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4)(5,4,3,2)(6,5,4,3,1)(7,5)(6,5,4,3)
1,3,6,12,24,47,60,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4)(5,4,3,2,1)
1,3,6,12,24,47,63 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,2)
1,3,6,12,24,47,63,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3)(5,4,3,2)
1,3,6,12,24,47,66,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3)(5,4,3,2,1)
1,3,6,12,24,47,68 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)
1,3,6,12,24,47,69,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(5,4,3,2,1)
1,3,6,12,24,47,69,54 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(6,3)
1,3,6,12,24,47,69,54,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(6,4)(5,4,3,2)
1,3,6,12,24,47,69,60,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(6,4)(5,4,3,2,1)
1,3,6,12,24,47,69,63 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(6,4,2)
1,3,6,12,24,47,69,63,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(6,4,3)(5,4,3,2)
1,3,6,12,24,47,69,66,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(6,4,3)(5,4,3,2,1)
1,3,6,12,24,47,69,68 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(6,4,3,2)
1,3,6,12,24,47,69,69,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(6,4,3,2)(5,4,3,2,1)
1,3,6,12,24,47,69,70 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7)
1,3,6,12,24,47,69,76 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,3)
1,3,6,12,24,47,69,76,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,4)(5,4,3,2)
1,3,6,12,24,47,69,82,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,4)(5,4,3,2,1)
1,3,6,12,24,47,69,85 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,4,2)
1,3,6,12,24,47,69,85,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,4,3)(5,4,3,2)
1,3,6,12,24,47,69,88,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,4,3)(5,4,3,2,1)
1,3,6,12,24,47,69,90 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,4,3,2)
1,3,6,12,24,47,69,91,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,4,3,2)(5,4,3,2,1)
1,3,6,12,24,47,69,95 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,5,2)
1,3,6,12,24,47,69,95,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,5,3)(5,4,3,2)
1,3,6,12,24,47,69,98,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,5,3)(5,4,3,2,1)
1,3,6,12,24,47,69,100 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,5,3,2)
1,3,6,12,24,47,69,101,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,5,3,2)(5,4,3,2,1)
1,3,6,12,24,47,69,104 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,5,4,2)
1,3,6,12,24,47,69,105,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,5,4,2)(5,4,3,2,1)
1,3,6,12,24,47,69,107 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2)(7,5,4,3,1)
1,3,6,12,24,47,70 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,4,3,2,1)
1,3,6,12,24,47,74 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,5,2)
1,3,6,12,24,47,74,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,5,3)(5,4,3,2)
1,3,6,12,24,47,77,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,5,3)(5,4,3,2,1)
1,3,6,12,24,47,79 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,5,3,2)
1,3,6,12,24,47,80,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,5,3,2)(5,4,3,2,1)
1,3,6,12,24,47,84 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,5,4,2)
1,3,6,12,24,47,85,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,5,4,2)(5,4,3,2,1)
1,3,6,12,24,47,89 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,5,4,3,2)
1,3,6,12,24,47,90 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1)(6,5,4,3,2,1)
1,3,6,12,24,48 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)
1,3,6,12,24,48,5 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(2,1)
1,3,6,12,24,48,6 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(3,2)
1,3,6,12,24,48,11 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(3,2,1)
1,3,6,12,24,48,15 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(4,2)
1,3,6,12,24,48,16,11 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(4,2)(3,2,1)
1,3,6,12,24,48,23 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(4,3,2,1)
1,3,6,12,24,48,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(5,4,3,2)
1,3,6,12,24,48,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(5,4,3,2,1)
1,3,6,12,24,48,48 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(5,4,3,2,1,1)
1,3,6,12,24,48,55 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,3)
1,3,6,12,24,48,55,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,4)(5,4,3,2)
1,3,6,12,24,48,61,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,4)(5,4,3,2,1)
1,3,6,12,24,48,64 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,4,2)
1,3,6,12,24,48,64,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,4,3)(5,4,3,2)
1,3,6,12,24,48,67,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,4,3)(5,4,3,2,1)
1,3,6,12,24,48,69 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,4,3,2)
1,3,6,12,24,48,70 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,4,3,2)(5,4,3,2,1)
1,3,6,12,24,48,76 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,2)
1,3,6,12,24,48,76,24 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,3)(5,4,3,2)
1,3,6,12,24,48,79,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,3)(5,4,3,2,1)
1,3,6,12,24,48,81 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,3,2)
1,3,6,12,24,48,82,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,3,2)(5,4,3,2,1)
1,3,6,12,24,48,87 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,4,2)
1,3,6,12,24,48,88,47 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,4,2)(5,4,3,2,1)
1,3,6,12,24,48,95 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,4,3,2,1)
1,3,6,12,24,48,96 = ()(1,1)(2,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,5,4,3,2)
1,3,7 = ()(1,1)(2,1,1)
1,3,7,3 = ()(1,1)(2,1,1)(1,1)
1,3,7,3,6,12,25 = ()(1,1)(2,1,1)(1,1)(2,1)(3,2,1,1)(4,3,2,1,1)
1,3,7,3,7 = ()(1,1)(2,1,1)(1,1)(2,1,1)
1,3,7,5 = ()(1,1)(2,1,1)(2,1)
1,3,7,5,8 = ()(1,1)(2,1,1)(2,1)(3,2)
1,3,7,5,8,14 = ()(1,1)(2,1,1)(2,1)(3,2,1,1)
1,3,7,5,8,14,27 = ()(1,1)(2,1,1)(2,1)(3,2,1,1)(4,3,2,1,1)
1,3,7,5,8,14,27,8 = ()(1,1)(2,1,1)(2,1)(3,2,1,1)(4,3,2,1,1)(3,2)
1,3,7,5,8,14,27,14 = ()(1,1)(2,1,1)(2,1)(3,2,1,1)(4,3,2,1,1)(3,2,1,1)
1,3,7,5,8,14,27,24 = ()(1,1)(2,1,1)(2,1)(3,2,1,1)(4,3,2,1,1)(4,3,2)
1,3,7,5,8,14,27,25 = ()(1,1)(2,1,1)(2,1)(3,2,1,1)(4,3,2,1,1)(4,3,2,1)
1,3,7,5,9 = ()(1,1)(2,1,1)(2,1,1)
1,3,7,5,9,5,8,14,27,25,45 = ()(1,1)(2,1,1)(2,1,1)(2,1)(3,2,1,1)(4,3,2,1,1)(4,3,2,1,1)
1,3,7,5,9,5,9 = ()(1,1)(2,1,1)(2,1,1)(2,1,1)
1,3,7,5,9,6 = ()(1,1)(2,1,1)(3)
1,3,7,5,9,7 = ()(1,1)(2,1,1)(3,1)
1,3,7,5,9,7,10 = ()(1,1)(2,1,1)(3,1)(4,2)
1,3,7,5,9,7,10,16,29 = ()(1,1)(2,1,1)(3,1)(4,2,1,1)(5,3,2,1,1)
1,3,7,5,9,7,10,16,29,27,47 = ()(1,1)(2,1,1)(3,1)(4,2,1,1)(5,3,2,1,1)(5,3,2,1,1)
1,3,7,5,9,7,11 = ()(1,1)(2,1,1)(3,1,1)
1,3,7,5,9,7,11,5,9 = ()(1,1)(2,1,1)(3,1,1)(2,1,1)
1,3,7,5,9,7,11,5,9,7,11 = ()(1,1)(2,1,1)(3,1,1)(2,1,1)(3,1,1)
1,3,7,5,9,7,11,7 = ()(1,1)(2,1,1)(3,1,1)(3,1)
1,3,7,5,9,7,11,7,11 = ()(1,1)(2,1,1)(3,1,1)(3,1,1)
1,3,7,5,9,7,11,9 = ()(1,1)(2,1,1)(3,1,1)(4,1)
1,3,7,5,9,7,11,9,13 = ()(1,1)(2,1,1)(3,1,1)(4,1,1)
1,3,7,6 = ()(1,1)(2,1,1)(3,2)
1,3,7,6,5,9,8 = ()(1,1)(2,1,1)(3,2)(2,1,1)(3,2)
1,3,7,6,5,9,8,7,11,10 = ()(1,1)(2,1,1)(3,2)(3,1,1)(4,2)
1,3,7,6,6 = ()(1,1)(2,1,1)(3,2)(3,2)
1,3,7,6,8 = ()(1,1)(2,1,1)(3,2)(4,1)
1,3,7,6,8,12 = ()(1,1)(2,1,1)(3,2)(4,1,1)
1,3,7,6,8,12,11 = ()(1,1)(2,1,1)(3,2)(4,1,1)(5,2)
1,3,7,6,9 = ()(1,1)(2,1,1)(3,2)(4,2)
1,3,7,6,11 = ()(1,1)(2,1,1)(3,2)(4,3,1)
1,3,7,6,12 = ()(1,1)(2,1,1)(3,2)(4,3,1,1)
1,3,7,6,12,25 = ()(1,1)(2,1,1)(3,2)(4,3,1,1)(5,4,2,1,1)
1,3,7,7 = ()(1,1)(2,1,1)(3,2,1)
1,3,7,7,5,8,14,27 = ()(1,1)(2,1,1)(3,2,1)(2,1)(3,2,1,1)(4,3,2,1,1)
1,3,7,7,5,8,14,27,27 = ()(1,1)(2,1,1)(3,2,1)(2,1)(3,2,1,1)(4,3,2,1,1)(5,4,3,2,1)
1,3,7,7,5,9 = ()(1,1)(2,1,1)(3,2,1)(2,1,1)
1,3,7,7,5,9,9 = ()(1,1)(2,1,1)(3,2,1)(2,1,1)(3,2,1)
1,3,7,7,5,9,9,6 = ()(1,1)(2,1,1)(3,2,1)(3)
1,3,7,7,5,9,9,7 = ()(1,1)(2,1,1)(3,2,1)(3,1)
1,3,7,7,5,9,9,7,11 = ()(1,1)(2,1,1)(3,2,1)(3,1,1)
1,3,7,7,5,9,9,7,11,11 = ()(1,1)(2,1,1)(3,2,1)(3,1,1)(4,2,1)
1,3,7,7,6 = ()(1,1)(2,1,1)(3,2,1)(3,2)
1,3,7,7,6,12,25 = ()(1,1)(2,1,1)(3,2,1)(3,2)(4,3,1,1)(5,4,2,1,1)
1,3,7,7,6,12,25,25 = ()(1,1)(2,1,1)(3,2,1)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)
1,3,7,7,7 = ()(1,1)(2,1,1)(3,2,1)(3,2,1)
1,3,7,8 = ()(1,1)(2,1,1)(3,2,1)(4)
1,3,7,8,5,9 = ()(1,1)(2,1,1)(3,2,1)(4)(2,1,1)
1,3,7,8,5,9,10 = ()(1,1)(2,1,1)(3,2,1)(4)(2,1,1)(3,2,1)(4)
1,3,7,8,6 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)
1,3,7,8,6,12,25 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)
1,3,7,8,6,12,25,25 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)
1,3,7,8,6,12,25,27 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,1)
1,3,7,8,6,12,25,27,31 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,1,1)
1,3,7,8,6,12,25,28 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,2)
1,3,7,8,6,12,25,32 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,4)
1,3,7,8,6,12,25,32,23,43,55 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,4)(5,4,2,1,1)(6,5,3,2,1)(7,4)
1,3,7,8,6,12,25,32,23,43,55,39 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,4)(6,5,2,1)
1,3,7,8,6,12,25,32,23,43,55,40 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,5)(6,5,3)
1,3,7,8,6,12,25,32,24 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,5)(6,5,3,2)
1,3,7,8,6,12,25,35 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,5,2)
1,3,7,8,6,12,25,36 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,5,3,1)
1,3,7,8,6,12,25,36,56 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,5,3,1,1)
1,3,7,8,6,12,25,37 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,5,3,2)
1,3,7,8,6,12,25,42 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,6,2)
1,3,7,8,6,12,25,43 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,6,3,1)
1,3,7,8,6,12,25,43,70 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,6,3,1,1)
1,3,7,8,6,12,25,44 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,6,3,2)
1,3,7,8,6,12,25,46 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2)(4,3,1,1)(5,4,2,1,1)(6,5,3,2,1)(7,6,4)
1,3,7,8,7 = ()(1,1)(2,1,1)(3,2,1)(4)(3,2,1)
1,3,7,9 = ()(1,1)(2,1,1)(3,2,1)(4,1)
1,3,7,9,13 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)
1,3,7,9,13,7 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)(3,2,1)
1,3,7,9,13,9 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)(4,1)
1,3,7,9,13,9,13 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)(4,1,1)
1,3,7,9,13,11 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)(5,1)
1,3,7,9,13,11,15 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)(5,1,1)
1,3,7,9,13,12 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)(5,2)
1,3,7,9,13,12,18,31,53,88 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)(5,2)(6,3,1,1)(7,4,2,1,1)(8,5,3,2,1)(9,6,4,1,1)
1,3,7,9,13,13 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)(5,2,1)
1,3,7,9,13,15 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)(5,2,1)(6,1)
1,3,7,9,13,15,19 = ()(1,1)(2,1,1)(3,2,1)(4,1,1)(5,2,1)(6,1,1)
1,3,7,10 = ()(1,1)(2,1,1)(3,2,1)(4,2)
1,3,7,11 = ()(1,1)(2,1,1)(3,2,1)(4,2,1)
1,3,7,12 = ()(1,1)(2,1,1)(3,2,1)(4,3)
1,3,7,13 = ()(1,1)(2,1,1)(3,2,1)(4,3,1)
1,3,7,14 = ()(1,1)(2,1,1)(3,2,1)(4,3,2)
1,3,7,14,16 = ()(1,1)(2,1,1)(3,2,1)(4,3,2)(5,1)
1,3,7,14,17 = ()(1,1)(2,1,1)(3,2,1)(4,3,2)(5,2)
1,3,7,14,25 = ()(1,1)(2,1,1)(3,2,1)(4,3,2)(5,3)
1,3,7,14,26 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1)
1,3,7,14,27 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)
1,3,7,14,27,29 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,1)
1,3,7,14,27,30 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,2)
1,3,7,14,27,32 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,3)
1,3,7,14,27,35,26 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,3)(4,3,2,1)
1,3,7,14,27,37 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,3,2)
1,3,7,14,27,38,26 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,3,2)(4,3,2,1)
1,3,7,14,27,43 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,2)
1,3,7,14,27,44,26 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,2)(4,3,2,1)
1,3,7,14,27,51 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1)
1,3,7,14,27,52 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1)(6,5,4,3,2)
1,3,7,14,27,53 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)
1,3,7,14,27,53,51 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(5,4,3,2,1)
1,3,7,14,27,53,51,95 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(5,4,3,2,1,1)
1,3,7,14,27,53,51,95,53 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,1)
1,3,7,14,27,53,51,95,54 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,2)
1,3,7,14,27,53,51,95,75 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,4,3,2,1)
1,3,7,14,27,53,51,95,75,119 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,4,3,2,1,1)
1,3,7,14,27,53,51,95,76 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5)
1,3,7,14,27,53,51,95,86 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,3,2,1)
1,3,7,14,27,53,51,95,86,141 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,3,2,1,1)
1,3,7,14,27,53,51,95,87 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4)
1,3,7,14,27,53,51,95,91 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,2,1)
1,3,7,14,27,53,51,95,91,156 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,2,1,1)
1,3,7,14,27,53,51,95,92 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3)
1,3,7,14,27,53,51,95,93 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,1)
1,3,7,14,27,53,51,95,93,164 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,1,1)
1,3,7,14,27,53,52 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2)
1,3,7,14,27,53,52,101,199 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2)(7,6,5,4,3,1,1)(8,7,6,5,4,2,1,1)
1,3,7,14,27,53,53 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)
1,3,7,14,27,53,54 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7)
1,3,7,14,27,53,55 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,1)
1,3,7,14,27,53,56 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,2)
1,3,7,14,27,53,58 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,3)
1,3,7,14,27,53,61,26 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,3)(4,3,2,1)
1,3,7,14,27,53,67 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,4)
1,3,7,14,27,53,67,52 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,5)(6,5,4,3,2)
1,3,7,14,27,53,69 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,5,2)
1,3,7,14,27,53,70,26 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,5,2)(4,3,2,1)
1,3,7,14,27,53,73 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,5,3)
1,3,7,14,27,53,73,52 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,5,4)(6,5,4,3,2)
1,3,7,14,27,53,76 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,5,4,2)
1,3,7,14,27,53,76,52 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,5,4,3)(6,5,4,3,2)
1,3,7,14,27,53,77 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,5,4,3,1)
1,3,7,14,27,53,77,121 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,5,4,3,1,1)
1,3,7,14,27,53,78 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,5,4,3,2)
1,3,7,14,27,53,82 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,2)
1,3,7,14,27,53,83,26 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,2)(4,3,2,1)
1,3,7,14,27,53,86 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,3)
1,3,7,14,27,53,86,52 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,4)(6,5,4,3,2)
1,3,7,14,27,53,89 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,4,2)
1,3,7,14,27,53,89,52 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,4,3)(6,5,4,3,2)
1,3,7,14,27,53,90 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,4,3,1)
1,3,7,14,27,53,90,147 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,4,3,1,1)
1,3,7,14,27,53,91 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,4,3,2)
1,3,7,14,27,53,96 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,5,2)
1,3,7,14,27,53,96,52 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,5,3)(6,5,4,3,2)
1,3,7,14,27,53,97 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,5,3,1)
1,3,7,14,27,53,97,168 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,5,3,1,1)
1,3,7,14,27,53,98 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,5,3,2)
1,3,7,14,27,53,101 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,5,4,1)
1,3,7,14,27,53,101,184 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,5,4,1,1)
1,3,7,14,27,53,102 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,5,4,2)
1,3,7,14,27,53,106 = ()(1,1)(2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,1,1)(6,5,4,3,2,1)(7,6,5,4,3,2)
1,3,7,15 = ()(1,1)(2,1,1)(3,2,1,1)
1,3,7,15,5 = ()(1,1)(2,1,1)(3,2,1,1)(2,1)
1,3,7,15,5,9 = ()(1,1)(2,1,1)(3,2,1,1)(2,1,1)
1,3,7,15,5,9,17 = ()(1,1)(2,1,1)(3,2,1,1)(2,1,1)(3,2,1,1)
1,3,7,15,6 = ()(1,1)(2,1,1)(3,2,1,1)(3,2)
1,3,7,15,7 = ()(1,1)(2,1,1)(3,2,1,1)(3,2,1)
1,3,7,15,7,15 = ()(1,1)(2,1,1)(3,2,1,1)(3,2,1,1)
1,3,7,15,8 = ()(1,1)(2,1,1)(3,2,1,1)(4)
1,3,7,15,9 = ()(1,1)(2,1,1)(3,2,1,1)(4,1)
1,3,7,15,9,13 = ()(1,1)(2,1,1)(3,2,1,1)(4,1,1)
1,3,7,15,10 = ()(1,1)(2,1,1)(3,2,1,1)(4,2)
1,3,7,15,11 = ()(1,1)(2,1,1)(3,2,1,1)(4,2,1)
1,3,7,15,11,19 = ()(1,1)(2,1,1)(3,2,1,1)(4,2,1,1)
1,3,7,15,12 = ()(1,1)(2,1,1)(3,2,1,1)(4,3)
1,3,7,15,13 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,1)
1,3,7,15,13,23 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,1,1)
1,3,7,15,14 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2)
1,3,7,15,15 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)
1,3,7,15,16 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5)
1,3,7,15,19 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,2,1)
1,3,7,15,19,27 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,2,1,1)
1,3,7,15,20 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,3)
1,3,7,15,21 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,3,1)
1,3,7,15,21,31 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,3,1,1)
1,3,7,15,22 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,3,2)
1,3,7,15,25 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,4,1)
1,3,7,15,25,39 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,4,1,1)
1,3,7,15,26 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,4,2)
1,3,7,15,30 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,4,3,2)
1,3,7,15,30,58 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)
1,3,7,15,30,58,112 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,4,3,2,1,1)
1,3,7,15,30,58,112,220 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,4,3,2,1,1)(7,6,5,4,3,2,1,1)
1,3,7,15,31 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1,1)
1,3,7,15,31,5,9,17,33 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1,1)(2,1,1)(3,2,1,1)(4,3,2,1,1)
1,3,7,15,31,7,15,31 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1,1)(3,2,1,1)(4,3,2,1,1)
1,3,7,15,31,15 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1,1)(4,3,2,1)
1,3,7,15,31,15,31 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1,1)(4,3,2,1,1)
1,3,7,15,31,31 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1,1)(5,4,3,2,1)
1,3,7,15,31,63 = ()(1,1)(2,1,1)(3,2,1,1)(4,3,2,1,1)(5,4,3,2,1,1)
1,3,8 = ()(1,1)(2,2)
1,3,8,3,6,12,26 = ()(1,1)(2,2)(1,1)(2,1)(3,2,1,1)(4,3,2,2)
1,3,8,3,7 = ()(1,1)(2,2)(1,1)(2,1,1)
1,3,8,3,7,15 = ()(1,1)(2,2)(1,1)(2,1,1)(3,2,1,1)
1,3,8,3,8 = ()(1,1)(2,2)(1,1)(2,2)
1,3,8,5 = ()(1,1)(2,2)(2,1)
1,3,8,5,8,14 = ()(1,1)(2,2)(2,1)(3,2,1,1)
1,3,8,5,8,14,28 = ()(1,1)(2,2)(2,1)(3,2,1,1)(4,3,2,2)
1,3,8,5,9 = ()(1,1)(2,2)(2,1,1)
1,3,8,5,9,17 = ()(1,1)(2,2)(2,1,1)(3,2,1,1)
1,3,8,5,10 = ()(1,1)(2,2)(2,1,1)(3,2,2)
1,3,8,5,10,7 = ()(1,1)(2,2)(2,1,1)(3,2,2)(3,1)
1,3,8,5,10,7,12 = ()(1,1)(2,2)(2,1,1)(3,2,2)(3,1,1)(4,2,2)
1,3,8,6 = ()(1,1)(2,2)(2,1,1)(3,2,2)(3,2)
1,3,8,6,12,26 = ()(1,1)(2,2)(2,1,1)(3,2,2)(3,2)(4,3,1,1)(5,4,2,2)
1,3,8,7 = ()(1,1)(2,2)(2,1,1)(3,2,2)(3,2,1)
1,3,8,7,15 = ()(1,1)(2,2)(2,1,1)(3,2,2)(3,2,1,1)
1,3,8,7,16 = ()(1,1)(2,2)(2,1,1)(3,2,2)(3,2,1,1)(4,3,2,2)
1,3,8,7,16,7,16 = ()(1,1)(2,2)(2,1,1)(3,2,2)(3,2,1,1)(4,3,2,2)(3,2,1,1)(4,3,2,2)
1,3,8,7,16,15 = ()(1,1)(2,2)(2,1,1)(3,2,2)(3,2,1,1)(4,3,2,2)(4,3,2,1)
1,3,8,8 = ()(1,1)(2,2)(2,2)
1,3,8,9 = ()(1,1)(2,2)(3)
1,3,8,9,5,9 = ()(1,1)(2,2)(3)(2,1,1)
1,3,8,9,5,10 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)
1,3,8,9,5,10,11 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4)
1,3,8,9,5,10,11,7 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4)(3,1)
1,3,8,9,6 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4)(3,2)
1,3,8,9,7 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4)(3,2,1)
1,3,8,9,7,16,17 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4)(3,2,1,1)(4,3,2,2)(5)
1,3,8,9,8 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4)(3,2,2)
1,3,8,10 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,1)
1,3,8,10,14 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,1,1)
1,3,8,10,15 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,1,1)(5,2,2)
1,3,8,10,15,10,15 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,1,1)(5,2,2)(4,1,1)(5,2,2)
1,3,8,10,15,14 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,1,1)(5,2,2)(5,2,1)
1,3,8,10,15,14,23 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,1,1)(5,2,2)(5,2,1,1)(6,3,2,2)
1,3,8,10,15,15 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,1,1)(5,2,2)(5,2,2)
1,3,8,10,15,17 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,1,1)(5,2,2)(6,1)
1,3,8,10,15,17,22 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,1,1)(5,2,2)(6,1,1)(7,2,2)
1,3,8,11 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,2)
1,3,8,12 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,2,1)
1,3,8,12,21 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,2,1,1)(5,3,2,2)
1,3,8,12,21,29 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,2,1,1)(5,3,2,2)(6,3,2,1)
1,3,8,13 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,2,2)
1,3,8,14 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,3)
1,3,8,14,5,10,16 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,3)(2,1,1)(3,2,2)(4,3)
1,3,8,14,6 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,3)(3,2)
1,3,8,14,7,16,31 = ()(1,1)(2,2)(3)(2,1,1)(3,2,2)(4,3)(3,2,1,1)(4,3,2,2)(5,4,3)
1,3,8,14,8 = ()(1,1)(2,2)(3)(2,2)
1,3,8,14,8,9 = ()(1,1)(2,2)(3)(2,2)(3)
1,3,8,14,8,14,8 = ()(1,1)(2,2)(3)(2,2)(3)(2,2)
1,3,8,14,9 = ()(1,1)(2,2)(3)(3)
1,3,8,14,14,8 = ()(1,1)(2,2)(3)(3)(2,2)
1,3,8,14,15 = ()(1,1)(2,2)(3)(4)
1,3,8,14,21,8 = ()(1,1)(2,2)(3)(4)(2,2)
1,3,8,14,23 = ()(1,1)(2,2)(3)(4,1,1)
1,3,8,14,23,24 = ()(1,1)(2,2)(3)(4,1,1)(5)
1,3,8,14,23,33,8 = ()(1,1)(2,2)(3)(4,1,1)(5)(2,2)
1,3,8,14,23,37 = ()(1,1)(2,2)(3)(4,1,1)(5,2,1)
1,3,8,14,23,38 = ()(1,1)(2,2)(3)(4,1,1)(5,2,1)(6,3,2)
1,3,8,14,23,39 = ()(1,1)(2,2)(3)(4,1,1)(5,2,1,1)
1,3,8,14,23,40 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)
1,3,8,14,23,40,41 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)
1,3,8,14,23,40,41,8 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)(2,1,1)(3,2,2)(4,3)(5,4,1,1)(6,5,2,2)(7)(3,2,2)
1,3,8,14,23,40,54 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)(2,1,1)(3,2,2)(4,3)(5,4,1,1)(6,5,2,2)(7,5,2,1)
1,3,8,14,23,40,54,77 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)(2,1,1)(3,2,2)(4,3)(5,4,1,1)(6,5,2,2)(7,5,2,1,1)
1,3,8,14,23,40,54,78 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)(2,1,1)(3,2,2)(4,3)(5,4,1,1)(6,5,2,2)(7,5,2,1,1)(8,6,3,2,2)
1,3,8,14,23,40,54,78,99 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)(2,1,1)(3,2,2)(4,3)(5,4,1,1)(6,5,2,2)(7,5,2,1,1)(8,6,3,2,2)(9,6,3,1)
1,3,8,14,23,40,55 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)(2,1,1)(3,2,2)(4,3)(5,4,1,1)(6,5,2,2)(7,5,2,1,1)(8,6,3,2,2)(9,6,3,2)
1,3,8,14,23,40,56 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)(2,1,1)(3,2,2)(4,3)(5,4,1,1)(6,5,2,2)(7,5,2,1,1)(8,6,3,2,2)(9,6,3,2,1)
1,3,8,14,23,40,57 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)(2,1,1)(3,2,2)(4,3)(5,4,1,1)(6,5,2,2)(7,5,2,2)
1,3,8,14,23,40,58 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)(2,1,1)(3,2,2)(4,3)(5,4,1,1)(6,5,2,2)(7,6)
1,3,8,14,23,40,58,8 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6)(2,2)
1,3,8,14,23,40,61 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,2)
1,3,8,14,23,40,61,37,61,91 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,2)(5,2,1,1)(6,3,2,2)(7,3)
1,3,8,14,23,40,61,38 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,2)(5,2,1,1)(6,3,2,2)(7,3)(6,3,2)
1,3,8,14,23,40,61,39,71,107 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,2)(5,2,1,1)(6,3,2,2)(7,3)(6,3,2,1,1)(7,4,3,2,2)(8,2)
1,3,8,14,23,40,61,39,71,108 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,2)(5,2,1,1)(6,3,2,2)(7,3)(6,3,2,1,1)(7,4,3,2,2)(8,3,1)
1,3,8,14,23,40,61,39,71,111 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,2)(5,2,1,1)(6,3,2,2)(7,3)(6,3,2,1,1)(7,4,3,2,2)(8,4)
1,3,8,14,23,40,61,40 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,2)(5,2,1,1)(6,3,2,2)(7,3)(6,3,2,2)
1,3,8,14,23,40,63 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,2)(5,2,1,1)(6,3,2,2)(7,3,2)
1,3,8,14,23,40,63,40 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,2)(5,2,2)
1,3,8,14,23,40,66 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,3)
1,3,8,14,23,40,66,40 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,3)(5,2,1,1)(6,3,2,2)(7,4)(6,3,2,2)
1,3,8,14,23,40,71 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,3)(5,2,1,1)(6,3,2,2)(7,4,3)
1,3,8,14,23,40,71,40 = ()(1,1)(2,2)(3)(4,1,1)(5,2,2)(6,3)(5,2,2)
1,3,8,15 = ()(1,1)(2,2)(3,1)
1,3,8,15,27 = ()(1,1)(2,2)(3,1,1)(4,2,2)
1,3,8,15,27,28 = ()(1,1)(2,2)(3,1,1)(4,2,2)(5)
1,3,8,15,27,40,8 = ()(1,1)(2,2)(3,1,1)(4,2,2)(5)(2,2)
1,3,8,15,27,46 = ()(1,1)(2,2)(3,1,1)(4,2,2)(5,3,1)
1,3,8,15,27,46,77 = ()(1,1)(2,2)(3,1,1)(4,2,2)(5,3,1,1)(6,4,2,2)
1,3,8,16 = ()(1,1)(2,2)(3,2)
1,3,8,16,8 = ()(1,1)(2,2)(3,2)(2,2)
1,3,8,16,9 = ()(1,1)(2,2)(3,2)(3)
1,3,8,16,14,8 = ()(1,1)(2,2)(3,2)(3)(2,2)
1,3,8,16,15,27 = ()(1,1)(2,2)(3,2)(3,1,1)(4,2,2)
1,3,8,16,15,27,47 = ()(1,1)(2,2)(3,2)(3,1,1)(4,2,2)(5,3,2)
1,3,8,16,16 = ()(1,1)(2,2)(3,2)(3,2)
1,3,8,16,17 = ()(1,1)(2,2)(3,2)(4)
1,3,8,16,25,8 = ()(1,1)(2,2)(3,2)(4)(2,2)
1,3,8,16,27 = ()(1,1)(2,2)(3,2)(4,2)
1,3,8,17 = ()(1,1)(2,2)(3,2)(4,3)
1,3,8,17,8 = ()(1,1)(2,2)(3,2)(4,3)(2,2)
1,3,8,17,16 = ()(1,1)(2,2)(3,2)(4,3)(3,2)
1,3,8,17,16,28 = ()(1,1)(2,2)(3,2)(4,3)(3,2)(4,3)
1,3,8,17,16,28,17 = ()(1,1)(2,2)(3,2)(4,3)(4)
1,3,8,17,16,28,25,8 = ()(1,1)(2,2)(3,2)(4,3)(4)(2,2)
1,3,8,17,16,28,27 = ()(1,1)(2,2)(3,2)(4,3)(4,2)
1,3,8,17,17 = ()(1,1)(2,2)(3,2)(4,3)(4,3)
1,3,8,17,18 = ()(1,1)(2,2)(3,2)(4,3)(5)
1,3,8,17,27,8 = ()(1,1)(2,2)(3,2)(4,3)(5)(2,2)
1,3,8,17,31 = ()(1,1)(2,2)(3,2)(4,3)(5,4)
1,3,8,17,32 = ()(1,1)(2,2)(3,2)(4,3,1)
1,3,8,17,33 = ()(1,1)(2,2)(3,2)(4,3,1,1)
1,3,8,17,33,64 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)
1,3,8,17,33,64,65 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6)
1,3,8,17,33,64,96,8 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6)(2,2)
1,3,8,17,33,64,99 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,3)
1,3,8,17,33,64,99,17,33,64,99 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,3)(4,3)(5,4,1,1)(6,5,2,2)(7,3)
1,3,8,17,33,64,99,18 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,3)(4,3)(5,4,1,1)(6,5,2,2)(7,3)(5)
1,3,8,17,33,64,100 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,3)(4,3)(5,4,1,1)(6,5,2,2)(7,4)
1,3,8,17,33,64,100,31 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,3)(4,3)(5,4,1,1)(6,5,2,2)(7,4)(5,4)
1,3,8,17,33,64,100,32 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,3)(4,3,1)
1,3,8,17,33,64,106 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,4,2)
1,3,8,17,33,64,108,64 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,4,2)(5,4,2,2)
1,3,8,17,33,64,114 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,5,2)
1,3,8,17,33,64,116,64 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,5,2)(5,4,2,2)
1,3,8,17,33,64,119 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,5,3)
1,3,8,17,33,64,124,64 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,5,3)(5,4,2,2)
1,3,8,17,33,64,126 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,5,3,2)
1,3,8,17,33,64,127 = ()(1,1)(2,2)(3,2)(4,3,1,1)(5,4,2,2)(6,5,3,2)(7,6,4,3)
1,3,8,18 = ()(1,1)(2,2)(3,2,1)
1,3,8,18,8 = ()(1,1)(2,2)(3,2,1)(2,2)
1,3,8,18,16 = ()(1,1)(2,2)(3,2,1)(3,2)
1,3,8,18,16,28 = ()(1,1)(2,2)(3,2,1)(3,2)(4,3)
1,3,8,18,16,28,47,81,148 = ()(1,1)(2,2)(3,2,1)(3,2)(4,3,1,1)(5,4,2,2)(6,5,3,2,1)
1,3,8,18,16,29 = ()(1,1)(2,2)(3,2,1)(3,2,1)
1,3,8,18,16,29,17 = ()(1,1)(2,2)(3,2,1)(4)
1,3,8,18,16,29,25,8 = ()(1,1)(2,2)(3,2,1)(4)(2,2)
1,3,8,18,16,29,27 = ()(1,1)(2,2)(3,2,1)(4,2)
1,3,8,18,16,29,27,43 = ()(1,1)(2,2)(3,2,1)(4,2,1)
1,3,8,18,17 = ()(1,1)(2,2)(3,2,1)(4,3)
1,3,8,18,17,29 = ()(1,1)(2,2)(3,2,1)(4,3)(5,2)
1,3,8,18,17,29,46 = ()(1,1)(2,2)(3,2,1)(4,3)(5,2,1)
1,3,8,18,17,30 = ()(1,1)(2,2)(3,2,1)(4,3)(5,3)
1,3,8,18,17,32 = ()(1,1)(2,2)(3,2,1)(4,3)(5,4,1)
1,3,8,18,17,33 = ()(1,1)(2,2)(3,2,1)(4,3)(5,4,1,1)
1,3,8,18,17,33,64 = ()(1,1)(2,2)(3,2,1)(4,3)(5,4,1,1)(6,5,2,2)
1,3,8,18,17,33,64,128 = ()(1,1)(2,2)(3,2,1)(4,3)(5,4,1,1)(6,5,2,2)(7,6,3,2,1)
1,3,8,18,18 = ()(1,1)(2,2)(3,2,1)(4,3,1)
1,3,8,18,19 = ()(1,1)(2,2)(3,2,1)(4,3,1)(5)
1,3,8,18,29,8 = ()(1,1)(2,2)(3,2,1)(4,3,1)(5)(2,2)
1,3,8,18,33 = ()(1,1)(2,2)(3,2,1)(4,3,1)(5,3,1)
1,3,8,18,35 = ()(1,1)(2,2)(3,2,1)(4,3,1)(5,4,1)
1,3,8,18,36 = ()(1,1)(2,2)(3,2,1)(4,3,2)
1,3,8,18,36,68 = ()(1,1)(2,2)(3,2,1)(4,3,2,1,1)
1,3,8,18,36,68,128 = ()(1,1)(2,2)(3,2,1)(4,3,2,1,1)(5,4,3,2,2)
1,3,8,18,36,68,128,248 = ()(1,1)(2,2)(3,2,1)(4,3,2,1,1)(5,4,3,2,2)(6,5,4,3,2,1)
1,3,8,18,37 = ()(1,1)(2,2)(3,2,1,1)
1,3,8,18,37,16 = ()(1,1)(2,2)(3,2,1,1)(3,2)
1,3,8,18,37,16,29 = ()(1,1)(2,2)(3,2,1,1)(3,2,1)
1,3,8,18,37,16,29,29 = ()(1,1)(2,2)(3,2,1,1)(3,2,1)(4,3,1)
1,3,8,18,37,16,29,50 = ()(1,1)(2,2)(3,2,1,1)(3,2,1)(4,3,2)
1,3,8,18,37,16,29,50,85,148,271 = ()(1,1)(2,2)(3,2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,2)(6,5,4,3,2,1)
1,3,8,18,37,16,29,50,85,148,271,523 = ()(1,1)(2,2)(3,2,1,1)(3,2,1)(4,3,2,1,1)(5,4,3,2,2)(6,5,4,3,2,1,1)
1,3,8,18,37,16,29,51 = ()(1,1)(2,2)(3,2,1,1)(3,2,1,1)
1,3,8,18,37,16,29,51,16,29,51 = ()(1,1)(2,2)(3,2,1,1)(3,2,1,1)(3,2,1,1)
1,3,8,18,37,16,29,51,26 = ()(1,1)(2,2)(3,2,1,1)(4,1)
1,3,8,18,37,16,29,51,26,41,66,110 = ()(1,1)(2,2)(3,2,1,1)(4,1,1)(5,2,2)(6,3,2,1,1)
1,3,8,18,37,16,29,51,27 = ()(1,1)(2,2)(3,2,1,1)(4,2)
1,3,8,18,37,16,29,51,27,43 = ()(1,1)(2,2)(3,2,1,1)(4,2,1)
1,3,8,18,37,16,29,51,27,43,68 = ()(1,1)(2,2)(3,2,1,1)(4,2,1,1)
1,3,8,18,37,17 = ()(1,1)(2,2)(3,2,1,1)(4,3)
1,3,8,18,37,17,33,64,128,262 = ()(1,1)(2,2)(3,2,1,1)(4,3)(5,4,1,1)(6,5,2,2)(7,6,3,2,1,1)
1,3,8,18,37,18 = ()(1,1)(2,2)(3,2,1,1)(4,3,1)
1,3,8,18,37,18,37 = ()(1,1)(2,2)(3,2,1,1)(4,3,1,1)
1,3,8,18,37,18,37,18,37 = ()(1,1)(2,2)(3,2,1,1)(4,3,1,1)(4,3,1,1)
1,3,8,18,37,31 = ()(1,1)(2,2)(3,2,1,1)(4,3,1,1)(5,2)
1,3,8,18,37,32 = ()(1,1)(2,2)(3,2,1,1)(4,3,1,1)(5,3)
1,3,8,18,37,33 = ()(1,1)(2,2)(3,2,1,1)(4,3,1,1)(5,3,1)
1,3,8,18,37,34 = ()(1,1)(2,2)(3,2,1,1)(4,3,1,1)(5,4)
1,3,8,18,37,35 = ()(1,1)(2,2)(3,2,1,1)(4,3,1,1)(5,4,1)
1,3,8,18,37,35,63 = ()(1,1)(2,2)(3,2,1,1)(4,3,1,1)(5,4,1,1)
1,3,8,18,37,36 = ()(1,1)(2,2)(3,2,1,1)(4,3,2)
1,3,8,18,37,36,68,128,248,497 = ()(1,1)(2,2)(3,2,1,1)(4,3,2)(5,4,3,1,1)(6,5,4,2,2)(7,6,5,3,2,1,1)
1,3,8,18,37,37 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1)
1,3,8,18,37,37,37 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1)(4,3,2,1)
1,3,8,18,37,59 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1)(5,2)
1,3,8,18,37,60 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1)(5,3)
1,3,8,18,37,62,36 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1)(5,3)(4,3,2)
1,3,8,18,37,64 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1)(5,3,2)
1,3,8,18,37,68 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1)(5,4,2)
1,3,8,18,37,72 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1)(5,4,3,2)
1,3,8,18,37,72,136,256,491,969 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1)(5,4,3,2,1,1)(6,5,4,3,2,2)(7,6,5,4,3,2,1,1)
1,3,8,18,37,73 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)
1,3,8,18,37,73,16 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(3,2)
1,3,8,18,37,73,16,29 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(3,2,1)
1,3,8,18,37,73,16,29,51 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(3,2,1,1)
1,3,8,18,37,73,16,29,51,90 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(3,2,1,1)(4,3,2,1,1)
1,3,8,18,37,73,17 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(4,3)
1,3,8,18,37,73,18 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(4,3,1)
1,3,8,18,37,73,18,37 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(4,3,1,1)
1,3,8,18,37,73,18,37,73 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(4,3,1,1)(5,4,2,1,1)
1,3,8,18,37,73,35 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(4,3,1,1)(5,4,2,1,1)(5,4,1)
1,3,8,18,37,73,35,63 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(4,3,1,1)(5,4,2,1,1)(5,4,1,1)
1,3,8,18,37,73,35,63,110 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(4,3,1,1)(5,4,2,1,1)(5,4,1,1)(6,5,2,1,1)
1,3,8,18,37,73,36 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(4,3,2)
1,3,8,18,37,73,37 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(4,3,2,1)
1,3,8,18,37,73,37,73 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(4,3,2,1,1)
1,3,8,18,37,73,72 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(5,4,3,2)
1,3,8,18,37,73,73 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(5,4,3,2,1)
1,3,8,18,37,73,141 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(5,4,3,2,1)(6,5,4,3,2)
1,3,8,18,37,73,142 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,1,1)(5,4,3,2,1,1)
1,3,8,18,38 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)
1,3,8,18,38,5,10,20,40 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(2,1,1)(3,2,2)(4,3,2,1,1)(5,4,3,2,2)
1,3,8,18,38,8 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(2,2)
1,3,8,18,38,15,27,49,91 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(3,1,1)(4,2,2)(5,3,2,1,1)(6,4,3,2,2)
1,3,8,18,38,16 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(3,2)
1,3,8,18,38,16,29 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(3,2,1)
1,3,8,18,38,16,29,52 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(3,2,1,1)(4,3,2,2)
1,3,8,18,38,16,29,52,27 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(4,2)
1,3,8,18,38,17 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(4,3)
1,3,8,18,38,18 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(4,3,1)
1,3,8,18,38,18,38 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(4,3,1,1)(5,4,2,2)
1,3,8,18,38,19 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(4,3,1,1)(5,4,2,2)(5)
1,3,8,18,38,29,8 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(4,3,1,1)(5,4,2,2)(5)(2,2)
1,3,8,18,38,36 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(4,3,2)
1,3,8,18,38,37 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(4,3,2,1)
1,3,8,18,38,37,74 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(4,3,2,1,1)(5,4,3,2,2)
1,3,8,18,38,38 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(4,3,2,2)
1,3,8,18,38,39 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5)
1,3,8,18,38,59,8 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5)(2,2)
1,3,8,18,38,61 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,2)
1,3,8,18,38,61,89 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,2,1)
1,3,8,18,38,61,89,127 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,2,1,1)(6,3,2,2)
1,3,8,18,38,62 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,3)
1,3,8,18,38,64,36 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,3)(4,3,2)
1,3,8,18,38,67 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,3,2,1)
1,3,8,18,38,67,114 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,3,2,1,1)(6,4,3,2,2)
1,3,8,18,38,68 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,3,2,2)
1,3,8,18,38,72 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,4,2,1)
1,3,8,18,38,72,129 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,4,2,1,1)(6,5,3,2,2)
1,3,8,18,38,73 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,4,2,2)
1,3,8,18,38,76 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,4,3,2)
1,3,8,18,38,77 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,4,3,2)(6,5,4,3)
1,3,8,18,38,78 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,4,3,2,1)
1,3,8,18,38,78,158 = ()(1,1)(2,2)(3,2,1,1)(4,3,2,2)(5,4,3,2,1,1)(6,5,4,3,2,2)
1,3,8,19 = ()(1,1)(2,2)(3,2,2)
1,3,8,19,5,10,21 = ()(1,1)(2,2)(3,2,2)(2,1,1)(3,2,2)(4,3,2,2)
1,3,8,19,8 = ()(1,1)(2,2)(3,2,2)(2,2)
1,3,8,19,15,27,50 = ()(1,1)(2,2)(3,2,2)(3,1,1)(4,2,2)(5,3,2,2)
1,3,8,19,16 = ()(1,1)(2,2)(3,2,2)(3,2)
1,3,8,19,16,29,52,96 = ()(1,1)(2,2)(3,2,2)(3,2,1,1)(4,3,2,2)(5,4,3,2,2)
1,3,8,19,16,30 = ()(1,1)(2,2)(3,2,2)(3,2,2)
1,3,8,19,16,30,17 = ()(1,1)(2,2)(3,2,2)(4)
1,3,8,19,16,30,27 = ()(1,1)(2,2)(3,2,2)(4,2)
1,3,8,19,16,30,27,43 = ()(1,1)(2,2)(3,2,2)(4,2,1)
1,3,8,19,16,30,27,44 = ()(1,1)(2,2)(3,2,2)(4,2,2)
1,3,8,19,17 = ()(1,1)(2,2)(3,2,2)(4,3)
1,3,8,19,18 = ()(1,1)(2,2)(3,2,2)(4,3,1)
1,3,8,19,18,38,79 = ()(1,1)(2,2)(3,2,2)(4,3,1,1)(5,4,2,2)(6,5,3,2,2)
1,3,8,19,19 = ()(1,1)(2,2)(3,2,2)(4,3,2)
1,3,8,19,20 = ()(1,1)(2,2)(3,2,2)(4,3,2)(5)
1,3,8,19,33 = ()(1,1)(2,2)(3,2,2)(4,3,2)(5,2)
1,3,8,19,34 = ()(1,1)(2,2)(3,2,2)(4,3,2)(5,3)
1,3,8,19,40 = ()(1,1)(2,2)(3,2,2)(4,3,2)(5,4,3)
1,3,8,19,40,78,148,284 = ()(1,1)(2,2)(3,2,2)(4,3,2)(5,4,3,1,1)(6,5,4,2,2)(7,6,5,3,2,2)
1,3,8,19,41 = ()(1,1)(2,2)(3,2,2)(4,3,2,1)
1,3,8,19,41,84,169 = ()(1,1)(2,2)(3,2,2)(4,3,2,1,1)(5,4,3,2,2)(6,5,4,3,2,2)
1,3,8,19,42 = ()(1,1)(2,2)(3,2,2)(4,3,2,2)
1,3,8,20 = ()(1,1)(2,2)(3,3)
1,3,8,20,3,8,20 = ()(1,1)(2,2)(3,3)(1,1)(2,2)(3,3)
1,3,8,20,5,10,22 = ()(1,1)(2,2)(3,3)(2,1,1)(3,2,2)(4,3,3)
1,3,8,20,8,20 = ()(1,1)(2,2)(3,3)(2,2)(3,3)
1,3,8,20,9 = ()(1,1)(2,2)(3,3)(3)
1,3,8,20,14,8 = ()(1,1)(2,2)(3,3)(3)(2,2)
1,3,8,20,15 = ()(1,1)(2,2)(3,3)(3,1)
1,3,8,20,16 = ()(1,1)(2,2)(3,3)(3,2)
1,3,8,20,16,31 = ()(1,1)(2,2)(3,3)(3,2,2)(4,3,3)
1,3,8,20,16,31,27 = ()(1,1)(2,2)(3,3)(3,2,2)(4,3,3)(4,2)
1,3,8,20,16,31,27,45 = ()(1,1)(2,2)(3,3)(3,2,2)(4,3,3)(4,2,2)(5,3,3)
1,3,8,20,17 = ()(1,1)(2,2)(3,3)(3,2,2)(4,3,3)(4,3)
1,3,8,20,18 = ()(1,1)(2,2)(3,3)(3,2,2)(4,3,3)(4,3,1)
1,3,8,20,19 = ()(1,1)(2,2)(3,3)(3,2,2)(4,3,3)(4,3,2)
1,3,8,20,19,43 = ()(1,1)(2,2)(3,3)(3,2,2)(4,3,3)(4,3,2,2)(5,4,3,3)
1,3,8,20,20 = ()(1,1)(2,2)(3,3)(3,3)
1,3,8,20,21 = ()(1,1)(2,2)(3,3)(4)
1,3,8,20,21,8 = ()(1,1)(2,2)(3,3)(4)(2,1,1)(3,2,2)(4,3,3)(5)(3,2,2)
1,3,8,20,26 = ()(1,1)(2,2)(3,3)(4)(2,1,1)(3,2,2)(4,3,3)(5,3)
1,3,8,20,26,20 = ()(1,1)(2,2)(3,3)(4)(2,1,1)(3,2,2)(4,3,3)(5,3)(4,3,2,2)(5,4,3,3)(6,4)(5,4,3,3)
1,3,8,20,29 = ()(1,1)(2,2)(3,3)(4)(2,1,1)(3,2,2)(4,3,3)(5,3)(4,3,2,2)(5,4,3,3)(6,4,3)
1,3,8,20,29,20 = ()(1,1)(2,2)(3,3)(4)(2,1,1)(3,2,2)(4,3,3)(5,3)(4,3,3)
1,3,8,20,33 = ()(1,1)(2,2)(3,3)(4)(2,1,1)(3,2,2)(4,3,3)(5,4)
1,3,8,20,33,8 = ()(1,1)(2,2)(3,3)(4)(2,2)
1,3,8,20,35 = ()(1,1)(2,2)(3,3)(4,2)
1,3,8,20,35,57 = ()(1,1)(2,2)(3,3)(4,2,2)(5,3,3)
1,3,8,20,35,57,54 = ()(1,1)(2,2)(3,3)(4,2,2)(5,3,3)(5,3)
1,3,8,20,35,57,57 = ()(1,1)(2,2)(3,3)(4,2,2)(5,3,3)(5,3,3)
1,3,8,20,35,57,82 = ()(1,1)(2,2)(3,3)(4,2,2)(5,3,3)(6,2)
1,3,8,20,36 = ()(1,1)(2,2)(3,3)(4,2,2)(5,3,3)(6,3)
1,3,8,20,39 = ()(1,1)(2,2)(3,3)(4,2,2)(5,3,3)(6,3,3)
1,3,8,20,42 = ()(1,1)(2,2)(3,3)(4,2,2)(5,3,3)(6,4,2)
1,3,8,20,42,81 = ()(1,1)(2,2)(3,3)(4,2,2)(5,3,3)(6,4,2,2)(7,5,3,3)
1,3,8,20,43 = ()(1,1)(2,2)(3,3)(4,3)
1,3,8,20,44 = ()(1,1)(2,2)(3,3)(4,3)(5,4)
1,3,8,20,45 = ()(1,1)(2,2)(3,3)(4,3,1)
1,3,8,20,46 = ()(1,1)(2,2)(3,3)(4,3,2)
1,3,8,20,47 = ()(1,1)(2,2)(3,3)(4,3,3)
1,3,8,20,48 = ()(1,1)(2,2)(3,3)(4,4)
1,3,9 = ()(1,1)(2,2,1)
1,3,9,2,5,14 = ()(1,1)(2,2,1)(1)(2,1,1)(3,2,2,1)
1,3,9,3 = ()(1,1)(2,2,1)(1,1)
1,3,9,3,7 = ()(1,1)(2,2,1)(1,1)(2,1,1)
1,3,9,3,8 = ()(1,1)(2,2,1)(1,1)(2,2)
1,3,9,3,9 = ()(1,1)(2,2,1)(1,1)(2,2,1)
1,3,9,5 = ()(1,1)(2,2,1)(2,1)
1,3,9,5,9 = ()(1,1)(2,2,1)(2,1,1)
1,3,9,5,10 = ()(1,1)(2,2,1)(2,1,1)(3,2,2)
1,3,9,5,11 = ()(1,1)(2,2,1)(2,1,1)(3,2,2,1)
1,3,9,5,11,7 = ()(1,1)(2,2,1)(2,1,1)(3,2,2,1)(3,1)
1,3,9,6 = ()(1,1)(2,2,1)(2,1,1)(3,2,2,1)(3,2)
1,3,9,7 = ()(1,1)(2,2,1)(2,1,1)(3,2,2,1)(3,2,1)
1,3,9,7,15 = ()(1,1)(2,2,1)(2,1,1)(3,2,2,1)(3,2,1,1)
1,3,9,7,16 = ()(1,1)(2,2,1)(2,1,1)(3,2,2,1)(3,2,1,1)(4,3,2,2)
1,3,9,7,17 = ()(1,1)(2,2,1)(2,1,1)(3,2,2,1)(3,2,1,1)(4,3,2,2,1)
1,3,9,7,17,15 = ()(1,1)(2,2,1)(2,1,1)(3,2,2,1)(3,2,1,1)(4,3,2,2,1)(4,3,2,1)
1,3,9,8 = ()(1,1)(2,2,1)(2,2)
1,3,9,8,9 = ()(1,1)(2,2,1)(2,2)(3)
1,3,9,8,14,8 = ()(1,1)(2,2,1)(2,2)(3)(2,2)
1,3,9,8,15 = ()(1,1)(2,2,1)(2,2)(3,1)
1,3,9,8,16 = ()(1,1)(2,2,1)(2,2)(3,2)
1,3,9,8,17 = ()(1,1)(2,2,1)(2,2)(3,2)(4,3)
1,3,9,8,18 = ()(1,1)(2,2,1)(2,2)(3,2,1)
1,3,9,8,18,39 = ()(1,1)(2,2,1)(2,2)(3,2,1,1)(4,3,2,2,1)
1,3,9,8,19 = ()(1,1)(2,2,1)(2,2)(3,2,2)
1,3,9,8,20 = ()(1,1)(2,2,1)(2,2)(3,3)
1,3,9,8,21 = ()(1,1)(2,2,1)(2,2)(3,3,1)
1,3,9,8,21,20 = ()(1,1)(2,2,1)(2,2)(3,3,1)(3,3)
1,3,9,9 = ()(1,1)(2,2,1)(2,2,1)
1,3,9,10 = ()(1,1)(2,2,1)(3)
1,3,9,10,5,11,12 = ()(1,1)(2,2,1)(3)(2,1,1)(3,2,2,1)(4)
1,3,9,10,8 = ()(1,1)(2,2,1)(3)(2,1,1)(3,2,2,1)(4)(3,2,2)
1,3,9,10,8,21,22,20 = ()(1,1)(2,2,1)(3)(2,1,1)(3,2,2,1)(4)(3,2,2)(4,3,3,1)(5)(4,3,3)
1,3,9,10,9 = ()(1,1)(2,2,1)(3)(2,1,1)(3,2,2,1)(4)(3,2,2,1)
1,3,9,11 = ()(1,1)(2,2,1)(3)(2,1,1)(3,2,2,1)(4,1)
1,3,9,12 = ()(1,1)(2,2,1)(3)(2,1,1)(3,2,2,1)(4,2)
1,3,9,13 = ()(1,1)(2,2,1)(3)(2,1,1)(3,2,2,1)(4,2,1)
1,3,9,14 = ()(1,1)(2,2,1)(3)(2,1,1)(3,2,2,1)(4,2,2)
1,3,9,15 = ()(1,1)(2,2,1)(3)(2,1,1)(3,2,2,1)(4,2,2,1)
1,3,9,16 = ()(1,1)(2,2,1)(3)(2,1,1)(3,2,2,1)(4,3)
1,3,9,16,8 = ()(1,1)(2,2,1)(3)(2,2)
1,3,9,16,8,21,22 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)
1,3,9,16,8,21,35,8 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(2,2)
1,3,9,16,8,21,35,16 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2)
1,3,9,16,8,21,35,16,29 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,1)
1,3,9,16,8,21,35,16,30 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)
1,3,9,16,8,21,35,16,31 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3)
1,3,9,16,8,21,35,16,32 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)
1,3,9,16,8,21,35,16,32,33 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)(5)
1,3,9,16,8,21,35,16,32,49,8 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)(5)(2,2)
1,3,9,16,8,21,35,16,32,49,27 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)(5)(4,2)
1,3,9,16,8,21,35,17 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)(5)(4,3)
1,3,9,16,8,21,37 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)(5,2)
1,3,9,16,8,21,37,59 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)(5,2,2)
1,3,9,16,8,21,37,61 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)(5,2,2)(6,3,3,1)
1,3,9,16,8,21,38 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)(5,3)
1,3,9,16,8,21,38,20 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)(5,3)(4,3,3)
1,3,9,16,8,21,43 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,2,2)(4,3,3,1)(5,4)
1,3,9,16,8,21,43,20 = ()(1,1)(2,2,1)(3)(2,2)(3,3,1)(4)(3,3)
1,3,9,16,9 = ()(1,1)(2,2,1)(3)(2,2,1)
1,3,9,17 = ()(1,1)(2,2,1)(3,1)
1,3,9,18 = ()(1,1)(2,2,1)(3,2)
1,3,9,18,33 = ()(1,1)(2,2,1)(3,2,2)
1,3,9,18,35 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)
1,3,9,18,35,53,8 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5)(2,2)
1,3,9,18,35,56 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,3)
1,3,9,18,35,58 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,3,2)
1,3,9,18,35,58,93 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,3,2,2)
1,3,9,18,35,58,95 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,3,2,2)(6,4,3,3,1)
1,3,9,18,35,59 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,3,3)
1,3,9,18,35,59,100 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,3,3)(6,4,4,1)
1,3,9,18,35,60 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,3,3,1)
1,3,9,18,35,64 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,4,3)
1,3,9,18,35,64,111 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,4,3,1)
1,3,9,18,35,64,112 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,4,3,2)
1,3,9,18,35,64,112,191 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,4,3,2,1)
1,3,9,18,35,64,112,192 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,4,3,2,2)
1,3,9,18,35,64,112,194 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,4,3,2,2)(6,5,4,3,3,1)
1,3,9,18,35,64,113 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,4,3,3)
1,3,9,18,35,64,114 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,4,3,3)(6,5,4,4)
1,3,9,18,35,64,115 = ()(1,1)(2,2,1)(3,2,2)(4,3,3,1)(5,4,3,3)(6,5,4,4,1)
1,3,9,19 = ()(1,1)(2,2,1)(3,2,2,1)
1,3,9,19,9 = ()(1,1)(2,2,1)(3,2,2,1)(2,2,1)
1,3,9,19,9,17 = ()(1,1)(2,2,1)(3,2,2,1)(2,2,1)(3,1)
1,3,9,19,9,18 = ()(1,1)(2,2,1)(3,2,2,1)(2,2,1)(3,2)
1,3,9,19,9,18,35,65 = ()(1,1)(2,2,1)(3,2,2,1)(2,2,1)(3,2,2)(4,3,3,1)(5,4,3,3,1)
1,3,9,19,9,19 = ()(1,1)(2,2,1)(3,2,2,1)(2,2,1)(3,2,2,1)
1,3,9,19,10 = ()(1,1)(2,2,1)(3,2,2,1)(3)
1,3,9,19,18 = ()(1,1)(2,2,1)(3,2,2,1)(3,2)
1,3,9,19,18,35,65 = ()(1,1)(2,2,1)(3,2,2,1)(3,2,2)(4,3,3,1)(5,4,3,3,1)
1,3,9,19,19 = ()(1,1)(2,2,1)(3,2,2,1)(3,2,2,1)
1,3,9,19,20 = ()(1,1)(2,2,1)(3,2,2,1)(4)
1,3,9,19,32 = ()(1,1)(2,2,1)(3,2,2,1)(4,2)
1,3,9,19,32,53,87 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2)(5,3,3,1)(6,4,3,3,1)
1,3,9,19,32,53,87,128 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2)(5,3,3,1)(6,4,3,3,1)(7,3,3)
1,3,9,19,32,53,87,129 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2)(5,3,3,1)(6,4,3,3,1)(7,3,3,1)
1,3,9,19,32,53,87,130 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2)(5,3,3,1)(6,4,3,3,1)(7,4)
1,3,9,19,32,53,87,133 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2)(5,3,3,1)(6,4,3,3,1)(7,4,3)
1,3,9,19,32,53,87,133,199 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2)(5,3,3,1)(6,4,3,3,1)(7,4,3,3)
1,3,9,19,32,53,87,134 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2)(5,3,3,1)(6,4,3,3,1)(7,4,3,3,1)
1,3,9,19,32,53,87,138 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2)(5,3,3,1)(6,4,3,3,1)(7,5,3)
1,3,9,19,32,53,87,138,214 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2)(5,3,3,1)(6,4,3,3,1)(7,5,3,3)
1,3,9,19,32,53,87,138,216 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2)(5,3,3,1)(6,4,3,3,1)(7,5,3,3)(8,6,4,4,1)
1,3,9,19,33 = ()(1,1)(2,2,1)(3,2,2,1)(4,2,2,1)
1,3,9,20 = ()(1,1)(2,2,1)(3,2,2,1)(4,3)
1,3,9,21 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,1)
1,3,9,21,45 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,1,1)(5,4,2,2,1)
1,3,9,21,45,72 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,1,1)(5,4,2,2,1)(6,2)
1,3,9,21,45,72,105 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,1,1)(5,4,2,2,1)(6,2,2)
1,3,9,21,45,73 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,1,1)(5,4,2,2,1)(6,2,2,1)
1,3,9,21,45,90 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,1,1)(5,4,2,2,1)(6,5,3,2)
1,3,9,21,45,90,171 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,1,1)(5,4,2,2,1)(6,5,3,2,2)
1,3,9,21,45,91 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,1,1)(5,4,2,2,1)(6,5,3,2,2,1)
1,3,9,21,45,93 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,1,1)(5,4,2,2,1)(6,5,3,2,2,1)(7,6,4,3,1)
1,3,9,22 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2)
1,3,9,22,47 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,1)
1,3,9,22,48 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2)
1,3,9,22,50 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2)(5,4,3,3,1)
1,3,9,22,50,106 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2)(5,4,3,3,1)(6,5,4,3,3,1)
1,3,9,22,50,110 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2)(5,4,3,3,1)(6,5,4,3,3,1)(7,6,5,4,3)
1,3,9,23 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)
1,3,9,23,9 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(2,2,1)
1,3,9,23,18 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(3,2)
1,3,9,23,18,33 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(3,2,2)
1,3,9,23,18,35,70 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(3,2,2)(4,3,3,1)(5,4,3,3,1)(6,5,4,3,3,1)
1,3,9,23,19 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(3,2,2,1)
1,3,9,23,19,33 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(3,2,2,1)(4,2,2,1)
1,3,9,23,19,37 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(3,2,2,1)(4,3,2,2,1)
1,3,9,23,19,37,20 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(4)
1,3,9,23,19,37,32 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(4,2)
1,3,9,23,19,37,33 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(4,2,2,1)
1,3,9,23,20 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(4,3)
1,3,9,23,22 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(4,3,2)
1,3,9,23,23 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(4,3,2,2,1)
1,3,9,23,41 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(5,2,2,1)
1,3,9,23,45 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(5,3,2,2,1)
1,3,9,23,49 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(5,4,2,2,1)
1,3,9,23,53 = ()(1,1)(2,2,1)(3,2,2,1)(4,3,2,2,1)(5,4,3,2,2,1)
1,3,9,24 = ()(1,1)(2,2,1)(3,3)
1,3,9,24,9 = ()(1,1)(2,2,1)(3,3)(2,2,1)
1,3,9,24,9,24 = ()(1,1)(2,2,1)(3,3)(2,2,1)(3,3)
1,3,9,24,18 = ()(1,1)(2,2,1)(3,3)(3,2)
1,3,9,24,19 = ()(1,1)(2,2,1)(3,3)(3,2,2,1)
1,3,9,24,19,38 = ()(1,1)(2,2,1)(3,3)(3,2,2,1)(4,3,3)
1,3,9,24,20 = ()(1,1)(2,2,1)(3,3)(3,2,2,1)(4,3,3)(4,3)
1,3,9,24,23 = ()(1,1)(2,2,1)(3,3)(3,2,2,1)(4,3,3)(4,3,2,2,1)
1,3,9,24,24 = ()(1,1)(2,2,1)(3,3)(3,3)
1,3,9,24,25 = ()(1,1)(2,2,1)(3,3)(4)
1,3,9,24,40,8 = ()(1,1)(2,2,1)(3,3)(4)(2,2)
1,3,9,24,40,19 = ()(1,1)(2,2,1)(3,3)(4)(3,2,2,1)
1,3,9,24,40,19,38,39 = ()(1,1)(2,2,1)(3,3)(4)(3,2,2,1)(4,3,3)(5)
1,3,9,24,40,19,38,58,8 = ()(1,1)(2,2,1)(3,3)(4)(3,2,2,1)(4,3,3)(5)(2,2)
1,3,9,24,40,19,38,58,33 = ()(1,1)(2,2,1)(3,3)(4)(3,2,2,1)(4,3,3)(5)(4,2,2,1)
1,3,9,24,40,20 = ()(1,1)(2,2,1)(3,3)(4)(3,2,2,1)(4,3,3)(5)(4,3)
1,3,9,24,40,24 = ()(1,1)(2,2,1)(3,3)(4)(3,2,2,1)(4,3,3)(5)(4,3,3)
1,3,9,24,48 = ()(1,1)(2,2,1)(3,3)(4)(3,2,2,1)(4,3,3)(5,3,3)
1,3,9,24,49 = ()(1,1)(2,2,1)(3,3)(4)(3,2,2,1)(4,3,3)(5,4)
1,3,9,24,49,24 = ()(1,1)(2,2,1)(3,3)(4)(3,3)
1,3,9,24,52 = ()(1,1)(2,2,1)(3,3)(4,2,2,1)
1,3,9,24,53 = ()(1,1)(2,2,1)(3,3)(4,3)
1,3,9,24,54 = ()(1,1)(2,2,1)(3,3)(4,3)(5,4)
1,3,9,24,55 = ()(1,1)(2,2,1)(3,3)(4,3,1)
1,3,9,24,57 = ()(1,1)(2,2,1)(3,3)(4,3,2,2,1)
1,3,9,24,58 = ()(1,1)(2,2,1)(3,3)(4,3,3)
1,3,9,24,59 = ()(1,1)(2,2,1)(3,3)(4,4)
1,3,9,24,60 = ()(1,1)(2,2,1)(3,3)(4,4,1)
1,3,9,24,60,61 = ()(1,1)(2,2,1)(3,3)(4,4,1)(5)
1,3,9,24,60,97,8 = ()(1,1)(2,2,1)(3,3)(4,4,1)(5)(2,2)
1,3,9,24,60,118,24 = ()(1,1)(2,2,1)(3,3)(4,4,1)(5)(3,3)
1,3,9,24,60,130,59 = ()(1,1)(2,2,1)(3,3)(4,4,1)(5)(4,4)
1,3,9,24,60,136 = ()(1,1)(2,2,1)(3,3)(4,4,1)(5,4,4,1)
1,3,9,24,60,137 = ()(1,1)(2,2,1)(3,3)(4,4,1)(5,4,4,1)(6,5)
1,3,9,24,60,143 = ()(1,1)(2,2,1)(3,3)(4,4,1)(5,4,4,1)(6,5,4,4,1)
1,3,9,24,60,144 = ()(1,1)(2,2,1)(3,3)(4,4,1)(5,5)
1,3,9,25 = ()(1,1)(2,2,1)(3,3,1)
1,3,9,25,9 = ()(1,1)(2,2,1)(3,3,1)(2,2,1)
1,3,9,25,19 = ()(1,1)(2,2,1)(3,3,1)(3,2,2,1)
1,3,9,25,20 = ()(1,1)(2,2,1)(3,3,1)(3,2,2,1)(4,3,3,1)(4,3)
1,3,9,25,23 = ()(1,1)(2,2,1)(3,3,1)(3,2,2,1)(4,3,3,1)(4,3,2,2,1)
1,3,9,25,24 = ()(1,1)(2,2,1)(3,3,1)(3,3)
1,3,9,25,25 = ()(1,1)(2,2,1)(3,3,1)(3,3,1)
1,3,9,25,26 = ()(1,1)(2,2,1)(3,3,1)(4)
1,3,9,25,42,8 = ()(1,1)(2,2,1)(3,3,1)(4)(2,2)
1,3,9,25,52,24 = ()(1,1)(2,2,1)(3,3,1)(4)(3,3)
1,3,9,25,56 = ()(1,1)(2,2,1)(3,3,1)(4,3)
1,3,9,25,56,112 = ()(1,1)(2,2,1)(3,3,1)(4,3,3)
1,3,9,25,57 = ()(1,1)(2,2,1)(3,3,1)(4,3,3,1)
1,3,9,25,58 = ()(1,1)(2,2,1)(3,3,1)(4,3,3,1)(5,4)
1,3,9,25,63 = ()(1,1)(2,2,1)(3,3,1)(4,3,3,1)(5,4,3,3,1)
1,3,9,25,64 = ()(1,1)(2,2,1)(3,3,1)(4,4)
1,3,9,25,65 = ()(1,1)(2,2,1)(3,3,1)(4,4,1)
1,3,9,26 = ()(1,1)(2,2,1)(3,3,2)
1,3,9,26,27 = ()(1,1)(2,2,1)(3,3,2)(4)
1,3,9,26,44,8 = ()(1,1)(2,2,1)(3,3,2)(4)(2,2)
1,3,9,26,55,24 = ()(1,1)(2,2,1)(3,3,2)(4)(3,3)
1,3,9,26,58 = ()(1,1)(2,2,1)(3,3,2)(4,2,2,1)
1,3,9,26,62 = ()(1,1)(2,2,1)(3,3,2)(4,3)
1,3,9,26,67 = ()(1,1)(2,2,1)(3,3,2)(4,3,3,1)
1,3,9,26,68 = ()(1,1)(2,2,1)(3,3,2)(4,3,3,2)
1,3,9,26,69 = ()(1,1)(2,2,1)(3,3,2)(4,4)
1,3,9,26,72 = ()(1,1)(2,2,1)(3,3,2)(4,4,3)
1,3,9,27 = ()(1,1)(2,2,1)(3,3,2,1)
1,3,9,27,59 = ()(1,1)(2,2,1)(3,3,2,1)(4,1)
1,3,9,27,66 = ()(1,1)(2,2,1)(3,3,2,1)(4,3)
1,3,9,27,73 = ()(1,1)(2,2,1)(3,3,2,1)(4,3,3,2,1)
1,3,9,27,81 = ()(1,1)(2,2,1)(3,3,2,1)(4,4,3,2,1)
1,3,10 = ()(1,1)(2,2,1)(3,3,2,1,1)