***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * This information is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St000525 ----------------------------------------------------------------------------- Collection: Posets ----------------------------------------------------------------------------- Description: The number of posets with the same zeta polynomial. The zeta polynomial $Z$ is the polynomial such that $Z(m)$ is the number of weakly increasing sequences $x_1\leq x_2\leq\dots\leq x_{m−1}$ of elements of the poset. See section 3.12 of [1]. Since $$ Z(q) = \sum_{k\geq 1} \binom{q-2}{k-1} c_k, $$ where $c_k$ is the number of chains of length $k$, this statistic is the same as the number of posets with the same chain polynomial. ----------------------------------------------------------------------------- References: [1] Stanley, R. P. Enumerative combinatorics. Volume 1 [[MathSciNet:2868112]] ----------------------------------------------------------------------------- Code: @cached_function def zeta_polynomial_multiplicities(n): l = [P.zeta_polynomial() for P in Posets(n)] return {p: l.count(p) for p in l} def statistic(P): return zeta_polynomial_multiplicities(P.cardinality())[P.zeta_polynomial()] ----------------------------------------------------------------------------- Statistic values: ([],2) => 1 ([(0,1)],2) => 1 ([],3) => 1 ([(1,2)],3) => 1 ([(0,1),(0,2)],3) => 2 ([(0,2),(2,1)],3) => 1 ([(0,2),(1,2)],3) => 2 ([],4) => 1 ([(2,3)],4) => 1 ([(1,2),(1,3)],4) => 3 ([(0,1),(0,2),(0,3)],4) => 3 ([(0,2),(0,3),(3,1)],4) => 2 ([(0,1),(0,2),(1,3),(2,3)],4) => 3 ([(1,2),(2,3)],4) => 1 ([(0,3),(3,1),(3,2)],4) => 3 ([(1,3),(2,3)],4) => 3 ([(0,3),(1,3),(3,2)],4) => 3 ([(0,3),(1,3),(2,3)],4) => 3 ([(0,3),(1,2)],4) => 3 ([(0,3),(1,2),(1,3)],4) => 3 ([(0,2),(0,3),(1,2),(1,3)],4) => 1 ([(0,3),(2,1),(3,2)],4) => 1 ([(0,3),(1,2),(2,3)],4) => 2 ([],5) => 1 ([(3,4)],5) => 1 ([(2,3),(2,4)],5) => 3 ([(1,2),(1,3),(1,4)],5) => 5 ([(0,1),(0,2),(0,3),(0,4)],5) => 7 ([(0,2),(0,3),(0,4),(4,1)],5) => 5 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 8 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 5 ([(1,3),(1,4),(4,2)],5) => 3 ([(0,3),(0,4),(4,1),(4,2)],5) => 8 ([(1,2),(1,3),(2,4),(3,4)],5) => 3 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4 ([(0,3),(0,4),(3,2),(4,1)],5) => 8 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 5 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 3 ([(2,3),(3,4)],5) => 1 ([(1,4),(4,2),(4,3)],5) => 3 ([(0,4),(4,1),(4,2),(4,3)],5) => 5 ([(2,4),(3,4)],5) => 3 ([(1,4),(2,4),(4,3)],5) => 3 ([(0,4),(1,4),(4,2),(4,3)],5) => 3 ([(1,4),(2,4),(3,4)],5) => 5 ([(0,4),(1,4),(2,4),(4,3)],5) => 5 ([(0,4),(1,4),(2,4),(3,4)],5) => 7 ([(0,4),(1,4),(2,3)],5) => 5 ([(0,4),(1,3),(2,3),(2,4)],5) => 7 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2 ([(0,4),(1,4),(2,3),(4,2)],5) => 4 ([(0,4),(1,3),(2,3),(3,4)],5) => 8 ([(0,4),(1,4),(2,3),(2,4)],5) => 7 ([(0,4),(1,4),(2,3),(3,4)],5) => 5 ([(1,4),(2,3)],5) => 3 ([(1,4),(2,3),(2,4)],5) => 5 ([(0,4),(1,2),(1,4),(2,3)],5) => 5 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 5 ([(1,3),(1,4),(2,3),(2,4)],5) => 7 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 2 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 3 ([(0,4),(1,2),(1,4),(4,3)],5) => 8 ([(0,4),(1,2),(1,3)],5) => 5 ([(0,4),(1,2),(1,3),(1,4)],5) => 7 ([(0,2),(0,4),(3,1),(4,3)],5) => 2 ([(0,4),(1,2),(1,3),(3,4)],5) => 5 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 8 ([(0,3),(0,4),(1,2),(1,4)],5) => 7 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 2 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 2 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 1 ([(0,3),(1,2),(1,4),(3,4)],5) => 5 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 2 ([(1,4),(3,2),(4,3)],5) => 1 ([(0,3),(3,4),(4,1),(4,2)],5) => 4 ([(1,4),(2,3),(3,4)],5) => 3 ([(0,4),(1,2),(2,4),(4,3)],5) => 3 ([(0,3),(1,4),(4,2)],5) => 3 ([(0,4),(3,2),(4,1),(4,3)],5) => 3 ([(0,4),(1,2),(2,3),(2,4)],5) => 8 ([(0,4),(2,3),(3,1),(4,2)],5) => 1 ([(0,3),(1,2),(2,4),(3,4)],5) => 8 ([(0,4),(1,2),(2,3),(3,4)],5) => 2 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4 ([],6) => 1 ([(4,5)],6) => 1 ([(3,4),(3,5)],6) => 3 ([(2,3),(2,4),(2,5)],6) => 6 ([(1,2),(1,3),(1,4),(1,5)],6) => 13 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 13 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 13 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 24 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 18 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 18 ([(1,3),(1,4),(1,5),(5,2)],6) => 9 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 24 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 12 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 7 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 18 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 18 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 8 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 18 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 13 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 8 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 24 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 18 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 18 ([(2,3),(2,4),(4,5)],6) => 3 ([(1,4),(1,5),(5,2),(5,3)],6) => 12 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 18 ([(2,3),(2,4),(3,5),(4,5)],6) => 3 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 4 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 6 ([(1,4),(1,5),(4,3),(5,2)],6) => 12 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 5 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 3 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 13 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 18 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 18 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 18 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 5 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 8 ([(3,4),(4,5)],6) => 1 ([(2,3),(3,4),(3,5)],6) => 3 ([(1,5),(5,2),(5,3),(5,4)],6) => 5 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 18 ([(2,3),(3,5),(5,4)],6) => 1 ([(1,4),(4,5),(5,2),(5,3)],6) => 4 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 7 ([(3,5),(4,5)],6) => 3 ([(2,5),(3,5),(5,4)],6) => 3 ([(1,5),(2,5),(5,3),(5,4)],6) => 3 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 8 ([(2,5),(3,5),(4,5)],6) => 6 ([(1,5),(2,5),(3,5),(5,4)],6) => 5 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 8 ([(1,5),(2,5),(3,5),(4,5)],6) => 13 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 18 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 13 ([(0,5),(1,5),(2,5),(3,4)],6) => 13 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 7 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 18 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 13 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 13 ([(1,5),(2,5),(3,4)],6) => 6 ([(1,5),(2,4),(3,4),(3,5)],6) => 13 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 24 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 18 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 13 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 12 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 5 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 10 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 2 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 8 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 6 ([(1,5),(2,5),(3,4),(5,3)],6) => 4 ([(1,5),(2,4),(3,4),(4,5)],6) => 12 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 13 ([(0,5),(1,5),(2,3),(5,4)],6) => 12 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 18 ([(1,5),(2,5),(3,4),(3,5)],6) => 13 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 18 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 13 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 18 ([(0,5),(1,5),(2,3),(2,4)],6) => 13 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 6 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 24 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 7 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 13 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 5 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 8 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 13 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 13 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 10 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 13 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 24 ([(1,5),(2,5),(3,4),(4,5)],6) => 9 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 10 ([(0,5),(1,5),(2,3),(3,4)],6) => 9 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 5 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 18 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 10 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 13 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 24 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 5 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 8 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 7 ([(0,5),(1,5),(2,4),(3,4)],6) => 13 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 13 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 10 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 10 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 8 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 6 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 24 ([(2,5),(3,4)],6) => 3 ([(2,5),(3,4),(3,5)],6) => 6 ([(1,5),(2,3),(2,5),(3,4)],6) => 9 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 24 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 18 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 8 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 5 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 7 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 18 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 5 ([(2,4),(2,5),(3,4),(3,5)],6) => 13 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 24 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 7 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 7 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 8 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 1 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 13 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 2 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 6 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 12 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 18 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 10 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 4 ([(1,5),(2,3),(2,5),(5,4)],6) => 12 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 18 ([(1,5),(2,3),(2,4)],6) => 6 ([(1,5),(2,3),(2,4),(2,5)],6) => 13 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 13 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 18 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 24 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 18 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 24 ([(0,5),(1,2),(1,3),(1,4)],6) => 13 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 13 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 5 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 13 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 10 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 24 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 10 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 18 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 13 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 12 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2 ([(1,3),(1,5),(4,2),(5,4)],6) => 3 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 8 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 10 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 10 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 7 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 10 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2 ([(1,5),(2,3),(2,4),(4,5)],6) => 9 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 10 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 3 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 4 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 12 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 13 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 24 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 18 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 18 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 10 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 10 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 18 ([(0,4),(1,3),(1,5),(5,2)],6) => 9 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 10 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 24 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 24 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 3 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 12 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 18 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 5 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 8 ([(1,4),(1,5),(2,3),(2,5)],6) => 13 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 13 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 12 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 18 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 10 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 4 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 7 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 8 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 6 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 6 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 24 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 13 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 6 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 2 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 2 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 13 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 18 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 12 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 7 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 12 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 18 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 1 ([(0,4),(0,5),(1,2),(1,3)],6) => 13 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 13 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 10 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 6 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 12 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 10 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 5 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 3 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 2 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 6 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 4 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 13 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 12 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 13 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 24 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 12 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 6 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 7 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 12 ([(1,4),(2,3),(2,5),(4,5)],6) => 9 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 10 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 24 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 24 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 10 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 6 ([(0,5),(1,3),(1,4),(5,2)],6) => 9 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 13 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 24 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 6 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 2 ([(2,5),(3,4),(4,5)],6) => 3 ([(1,5),(2,3),(3,5),(5,4)],6) => 3 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 6 ([(1,3),(2,4),(4,5)],6) => 3 ([(1,5),(4,3),(5,2),(5,4)],6) => 3 ([(1,5),(2,3),(3,4),(3,5)],6) => 12 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 10 ([(0,4),(1,5),(5,2),(5,3)],6) => 12 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 10 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 18 ([(1,5),(3,4),(4,2),(5,3)],6) => 1 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 5 ([(1,4),(2,3),(3,5),(4,5)],6) => 12 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 13 ([(0,5),(1,4),(4,2),(5,3)],6) => 12 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 3 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 18 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 7 ([(1,5),(2,3),(3,4),(4,5)],6) => 3 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 5 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 3 ([(0,5),(1,4),(2,3)],6) => 6 ([(0,5),(1,3),(2,4),(2,5)],6) => 13 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 13 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 5 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 10 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 13 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 13 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 18 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 8 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 24 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 13 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 10 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 10 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 5 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 12 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 10 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 6 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 13 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 6 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 13 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 12 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 5 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 2 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 6 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 7 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 13 ([(0,5),(1,3),(4,2),(5,4)],6) => 3 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 13 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 10 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 13 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 4 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 8 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1 ([(0,5),(1,3),(2,4),(4,5)],6) => 9 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 24 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 4 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 10 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 5 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 10 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 4 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 24 ([],7) => 1 ([(5,6)],7) => 1 ([(4,5),(4,6)],7) => 3 ([(3,4),(3,5),(3,6)],7) => 6 ([(2,3),(2,4),(2,5),(2,6)],7) => 15 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 25 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 36 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 38 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 74 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 70 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 82 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 46 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 25 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 74 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 40 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 26 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 21 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 30 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 82 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 46 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 33 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 16 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 70 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 82 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 46 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 42 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 82 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 82 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 46 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 42 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 42 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 18 ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 21 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 63 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 44 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 24 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 74 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 70 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 82 ([(2,4),(2,5),(2,6),(6,3)],7) => 10 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 40 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 70 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 12 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 7 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 18 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 26 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 21 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 8 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 8 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 18 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 32 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 8 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 14 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 63 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 30 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 21 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 33 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 82 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 46 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 63 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 24 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 13 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 18 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 44 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 30 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 12 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 12 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 40 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 26 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 21 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 46 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 42 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 18 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 18 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 32 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 30 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 63 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 44 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 70 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 82 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 82 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 46 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 42 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 70 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 82 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 46 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 46 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 42 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 18 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 42 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 18 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 21 ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 42 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 32 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 46 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 63 ([(3,4),(3,5),(5,6)],7) => 3 ([(2,5),(2,6),(6,3),(6,4)],7) => 12 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 26 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 82 ([(3,4),(3,5),(4,6),(5,6)],7) => 3 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 4 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 6 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 18 ([(2,5),(2,6),(5,4),(6,3)],7) => 12 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 5 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 6 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 24 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 6 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 10 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 24 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 18 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 4 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 13 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 30 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 26 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 21 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 63 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 82 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 46 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 21 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 5 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 8 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 18 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 24 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 18 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 32 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 30 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 63 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 82 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 46 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 42 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 42 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 18 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 21 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 3 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 4 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 12 ([(4,5),(5,6)],7) => 1 ([(3,4),(4,5),(4,6)],7) => 3 ([(2,6),(6,3),(6,4),(6,5)],7) => 5 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 21 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 46 ([(3,4),(4,6),(6,5)],7) => 1 ([(2,5),(5,6),(6,3),(6,4)],7) => 4 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 7 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 30 ([(4,6),(5,6)],7) => 3 ([(3,6),(4,6),(6,5)],7) => 3 ([(2,6),(3,6),(6,4),(6,5)],7) => 3 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 8 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 21 ([(3,6),(4,6),(5,6)],7) => 6 ([(2,6),(3,6),(4,6),(6,5)],7) => 5 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 8 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 5 ([(2,6),(3,6),(4,6),(5,6)],7) => 15 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 21 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 21 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 25 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 46 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 36 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 25 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 30 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 82 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 36 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 38 ([(1,6),(2,6),(3,6),(4,5)],7) => 15 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 7 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 26 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 26 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 8 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 42 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 25 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 82 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 38 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 46 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 25 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 18 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 70 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 22 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 36 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 38 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 74 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 25 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 38 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 25 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 9 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 33 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 82 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 74 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 5 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 10 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 9 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 13 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 25 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 36 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 27 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 25 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 25 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 8 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 16 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 18 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 70 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 36 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 27 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 24 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 12 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 18 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 74 ([(2,6),(3,6),(4,5)],7) => 6 ([(2,6),(3,5),(4,5),(4,6)],7) => 15 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 40 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 82 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 21 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 30 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 82 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 42 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 21 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 25 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 74 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 53 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 18 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 22 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 21 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 36 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 49 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 6 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 8 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 42 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 25 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 10 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 70 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 22 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 36 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 10 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 8 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 32 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 58 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 14 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 46 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 49 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 27 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 24 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 25 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 16 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 27 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 32 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 16 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 27 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 32 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 27 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 25 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 36 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 24 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 74 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 63 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 82 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 36 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 27 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 25 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 25 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 58 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 27 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 27 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 38 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 58 ([(2,6),(3,6),(4,5),(6,4)],7) => 4 ([(2,6),(3,5),(4,5),(5,6)],7) => 12 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 13 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 24 ([(1,6),(2,6),(3,4),(6,5)],7) => 12 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 6 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 21 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 32 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 21 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 18 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 42 ([(2,6),(3,6),(4,5),(4,6)],7) => 15 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 26 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 42 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 25 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 21 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 82 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 18 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 74 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 46 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 21 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 13 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 30 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 38 ([(1,6),(2,6),(3,4),(3,5)],7) => 15 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 6 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 40 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 82 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 6 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 44 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 40 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 24 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 82 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 22 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 25 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 70 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 38 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 82 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 74 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 46 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 25 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 18 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 74 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 53 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 6 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 36 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 13 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 24 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 44 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 38 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 33 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 44 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 63 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 74 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 45 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 63 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 70 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 25 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 45 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 40 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 63 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 25 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 12 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 70 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 22 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 63 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 24 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 70 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 33 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 44 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 74 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 33 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 10 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 45 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 63 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 32 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 38 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 63 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 32 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 30 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 44 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 13 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 63 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 30 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 45 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 16 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 18 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 74 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 38 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 45 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 63 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 70 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 33 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 44 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 33 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 40 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 10 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 82 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 70 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 82 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 10 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 10 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 24 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 13 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 24 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 16 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 44 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 33 ([(2,6),(3,6),(4,5),(5,6)],7) => 10 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 10 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 18 ([(1,6),(2,6),(3,4),(4,5)],7) => 10 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 5 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 26 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 33 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 26 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 6 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 46 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 40 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 38 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 33 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 63 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 40 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 10 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 82 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 22 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 45 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 63 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 70 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 33 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 44 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 33 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 24 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 16 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 30 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 3 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 3 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 5 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 6 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 9 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 10 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 9 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 6 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 45 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 10 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 18 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 24 ([(1,6),(2,6),(3,5),(4,5)],7) => 15 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 25 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 74 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 46 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 36 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 58 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 42 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 53 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 36 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 49 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 42 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 27 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 24 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 18 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 27 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 25 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 21 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 70 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 12 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 6 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 13 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 10 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 40 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 63 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 40 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 63 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 24 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 82 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 82 ([(0,6),(1,6),(2,5),(3,4)],7) => 15 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 12 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 24 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 63 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 40 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 82 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 18 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 44 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 25 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 16 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 70 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 38 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 33 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 82 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 36 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 27 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 36 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 49 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 27 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 27 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 38 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 38 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 58 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 25 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 36 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 27 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 25 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 10 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 58 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 12 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 74 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 53 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 24 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 18 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 16 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 74 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 36 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 38 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 44 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 30 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 70 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 36 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 25 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 32 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 25 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 10 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 25 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 8 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 13 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 8 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 32 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 4 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 6 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 4 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 58 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 27 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 27 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 25 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 10 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 6 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 4 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 58 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 63 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 24 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 82 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 24 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 12 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 74 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 25 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 15 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 45 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 74 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 25 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 10 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 44 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 12 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 30 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 70 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 74 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 10 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 12 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 33 ([(3,6),(4,5)],7) => 3 ([(3,6),(4,5),(4,6)],7) => 6 ([(2,6),(3,4),(3,6),(4,5)],7) => 10 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 40 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 70 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 46 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 18 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 5 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 21 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 8 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 33 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 82 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 42 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 21 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 5 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 7 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 18 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 26 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 5 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 46 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 18 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 9 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 10 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 15 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 45 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 14 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 15 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 24 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 63 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 18 ([(3,5),(3,6),(4,5),(4,6)],7) => 15 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 40 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 82 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 22 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 6 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 82 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 8 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 22 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 21 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 21 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 25 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 36 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 58 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 82 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 53 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 42 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 27 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 32 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 53 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 18 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 22 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 24 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 58 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 18 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 74 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 6 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 21 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 30 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 53 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 42 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 14 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 32 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 74 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 18 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 53 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 21 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 42 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 36 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 49 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 58 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 6 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 2 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 58 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 46 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 27 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 42 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 27 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 18 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 27 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 53 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 24 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 42 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 32 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 36 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 58 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 27 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 82 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 27 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 22 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 21 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 27 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 32 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 25 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 32 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 10 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 12 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 27 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 32 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 16 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 24 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 14 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 30 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 58 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 32 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 27 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 38 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 22 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 49 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 15 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 58 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 38 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 10 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 49 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 46 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 14 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 30 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 58 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 6 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 4 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 4 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 6 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 18 ([(2,6),(3,4),(3,6),(6,5)],7) => 12 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 21 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 42 ([(2,6),(3,4),(3,5)],7) => 6 ([(2,6),(3,4),(3,5),(3,6)],7) => 15 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 25 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 74 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 82 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 42 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 26 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 16 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 70 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 46 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 40 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 21 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 30 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 82 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 42 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 24 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 63 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 74 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 70 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 46 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 18 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 46 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 82 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 42 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 21 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 82 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 42 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 40 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 82 ([(1,6),(2,3),(2,4),(2,5)],7) => 15 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 25 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 38 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 70 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 74 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 82 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 70 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 46 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 74 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 25 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 36 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 13 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 38 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 33 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 74 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 45 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 70 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 38 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 82 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 38 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 58 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 24 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 3 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 9 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 24 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 25 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 33 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 14 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 10 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 40 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 44 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 10 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 15 ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 26 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 33 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 70 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 63 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 38 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 82 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 74 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 45 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 45 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 70 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 45 ----------------------------------------------------------------------------- Created: Jun 06, 2016 at 08:44 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Nov 08, 2017 at 19:01 by Martin Rubey