***************************************************************************** * 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: St001106 ----------------------------------------------------------------------------- Collection: Posets ----------------------------------------------------------------------------- Description: The number of supergreedy linear extensions of a poset. A linear extension of a poset P with elements $\{x_1,\dots,x_n\}$ is supergreedy, if it can be obtained by the following algorithm: * Step 1. Choose a minimal element $x_1$. * Step 2. Suppose $X=\{x_1,\dots,x_i\}$ have been chosen, let $M$ be the set of minimal elements of $P\setminus X$. If there is an element of $M$ which covers an element $x_j$ in $X$, then let $x_{i+1}$ be one of these such that $j$ is maximal; otherwise, choose $x_{i+1}$ to be any element of $M$. This statistic records the number of supergreedy linear extensions. ----------------------------------------------------------------------------- References: [1] Kierstead, H. A., Trotter, W. T. Super-greedy linear extensions of ordered sets [[MathSciNet:1018632]] ----------------------------------------------------------------------------- Code: def statistic(P): return sum(1 for i in P._hasse_diagram.supergreedy_linear_extensions_iterator()) ----------------------------------------------------------------------------- Statistic values: ([],2) => 2 ([(0,1)],2) => 1 ([],3) => 6 ([(1,2)],3) => 2 ([(0,1),(0,2)],3) => 2 ([(0,2),(2,1)],3) => 1 ([(0,2),(1,2)],3) => 2 ([],4) => 24 ([(2,3)],4) => 6 ([(1,2),(1,3)],4) => 4 ([(0,1),(0,2),(0,3)],4) => 6 ([(0,2),(0,3),(3,1)],4) => 2 ([(0,1),(0,2),(1,3),(2,3)],4) => 2 ([(1,2),(2,3)],4) => 2 ([(0,3),(3,1),(3,2)],4) => 2 ([(1,3),(2,3)],4) => 6 ([(0,3),(1,3),(3,2)],4) => 2 ([(0,3),(1,3),(2,3)],4) => 6 ([(0,3),(1,2)],4) => 2 ([(0,3),(1,2),(1,3)],4) => 3 ([(0,2),(0,3),(1,2),(1,3)],4) => 4 ([(0,3),(2,1),(3,2)],4) => 1 ([(0,3),(1,2),(2,3)],4) => 2 ([],5) => 120 ([(3,4)],5) => 24 ([(2,3),(2,4)],5) => 12 ([(1,2),(1,3),(1,4)],5) => 12 ([(0,1),(0,2),(0,3),(0,4)],5) => 24 ([(0,2),(0,3),(0,4),(4,1)],5) => 6 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 6 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 6 ([(1,3),(1,4),(4,2)],5) => 4 ([(0,3),(0,4),(4,1),(4,2)],5) => 4 ([(1,2),(1,3),(2,4),(3,4)],5) => 4 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2 ([(0,3),(0,4),(3,2),(4,1)],5) => 2 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 3 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4 ([(2,3),(3,4)],5) => 6 ([(1,4),(4,2),(4,3)],5) => 4 ([(0,4),(4,1),(4,2),(4,3)],5) => 6 ([(2,4),(3,4)],5) => 24 ([(1,4),(2,4),(4,3)],5) => 6 ([(0,4),(1,4),(4,2),(4,3)],5) => 4 ([(1,4),(2,4),(3,4)],5) => 24 ([(0,4),(1,4),(2,4),(4,3)],5) => 6 ([(0,4),(1,4),(2,4),(3,4)],5) => 24 ([(0,4),(1,4),(2,3)],5) => 6 ([(0,4),(1,3),(2,3),(2,4)],5) => 8 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 10 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 12 ([(0,4),(1,4),(2,3),(4,2)],5) => 2 ([(0,4),(1,3),(2,3),(3,4)],5) => 6 ([(0,4),(1,4),(2,3),(2,4)],5) => 8 ([(0,4),(1,4),(2,3),(3,4)],5) => 6 ([(1,4),(2,3)],5) => 6 ([(1,4),(2,3),(2,4)],5) => 9 ([(0,4),(1,2),(1,4),(2,3)],5) => 3 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 3 ([(1,3),(1,4),(2,3),(2,4)],5) => 12 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 4 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 4 ([(0,4),(1,2),(1,4),(4,3)],5) => 3 ([(0,4),(1,2),(1,3)],5) => 4 ([(0,4),(1,2),(1,3),(1,4)],5) => 8 ([(0,2),(0,4),(3,1),(4,3)],5) => 2 ([(0,4),(1,2),(1,3),(3,4)],5) => 4 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4 ([(0,3),(0,4),(1,2),(1,4)],5) => 4 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 8 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 12 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 4 ([(0,3),(1,2),(1,4),(3,4)],5) => 3 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 4 ([(1,4),(3,2),(4,3)],5) => 2 ([(0,3),(3,4),(4,1),(4,2)],5) => 2 ([(1,4),(2,3),(3,4)],5) => 6 ([(0,4),(1,2),(2,4),(4,3)],5) => 2 ([(0,3),(1,4),(4,2)],5) => 2 ([(0,4),(3,2),(4,1),(4,3)],5) => 2 ([(0,4),(1,2),(2,3),(2,4)],5) => 3 ([(0,4),(2,3),(3,1),(4,2)],5) => 1 ([(0,3),(1,2),(2,4),(3,4)],5) => 2 ([(0,4),(1,2),(2,3),(3,4)],5) => 2 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2 ([],6) => 720 ([(4,5)],6) => 120 ([(3,4),(3,5)],6) => 48 ([(2,3),(2,4),(2,5)],6) => 36 ([(1,2),(1,3),(1,4),(1,5)],6) => 48 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 120 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 24 ([(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) => 24 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 24 ([(1,3),(1,4),(1,5),(5,2)],6) => 12 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 12 ([(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) => 12 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 6 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 6 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 8 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 10 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 8 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 6 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 6 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 6 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 9 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(2,3),(2,4),(4,5)],6) => 12 ([(1,4),(1,5),(5,2),(5,3)],6) => 8 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 12 ([(2,3),(2,4),(3,5),(4,5)],6) => 12 ([(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) => 4 ([(1,4),(1,5),(4,3),(5,2)],6) => 4 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 6 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 8 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 4 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 3 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 4 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 8 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 4 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 8 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12 ([(3,4),(4,5)],6) => 24 ([(2,3),(3,4),(3,5)],6) => 12 ([(1,5),(5,2),(5,3),(5,4)],6) => 12 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24 ([(2,3),(3,5),(5,4)],6) => 6 ([(1,4),(4,5),(5,2),(5,3)],6) => 4 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6 ([(3,5),(4,5)],6) => 120 ([(2,5),(3,5),(5,4)],6) => 24 ([(1,5),(2,5),(5,3),(5,4)],6) => 12 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12 ([(2,5),(3,5),(4,5)],6) => 120 ([(1,5),(2,5),(3,5),(5,4)],6) => 24 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 12 ([(1,5),(2,5),(3,5),(4,5)],6) => 120 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 24 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 120 ([(0,5),(1,5),(2,5),(3,4)],6) => 24 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 6 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 24 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 30 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 24 ([(1,5),(2,5),(3,4)],6) => 24 ([(1,5),(2,4),(3,4),(3,5)],6) => 32 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 8 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 8 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 40 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 10 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 10 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 48 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 12 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 12 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 10 ([(1,5),(2,5),(3,4),(5,3)],6) => 6 ([(1,5),(2,4),(3,4),(4,5)],6) => 24 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 6 ([(0,5),(1,5),(2,3),(5,4)],6) => 6 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 4 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 10 ([(1,5),(2,5),(3,4),(3,5)],6) => 32 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 8 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 8 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 8 ([(0,5),(1,5),(2,3),(2,4)],6) => 12 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 4 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 8 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 20 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 4 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 4 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 12 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 4 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 4 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 12 ([(1,5),(2,5),(3,4),(4,5)],6) => 24 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 6 ([(0,5),(1,5),(2,3),(3,4)],6) => 6 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 6 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 4 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 8 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 6 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6 ([(0,5),(1,5),(2,4),(3,4)],6) => 24 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 30 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 36 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 36 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 42 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 48 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 6 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 24 ([(2,5),(3,4)],6) => 24 ([(2,5),(3,4),(3,5)],6) => 36 ([(1,5),(2,3),(2,5),(3,4)],6) => 9 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 6 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 4 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 6 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 9 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 3 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 3 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 5 ([(2,4),(2,5),(3,4),(3,5)],6) => 48 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 12 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 8 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 12 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 4 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 6 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 4 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 4 ([(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) => 12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 12 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 20 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 12 ([(1,5),(2,3),(2,5),(5,4)],6) => 9 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 6 ([(1,5),(2,3),(2,4)],6) => 12 ([(1,5),(2,3),(2,4),(2,5)],6) => 24 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 8 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 8 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 8 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 8 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 8 ([(0,5),(1,2),(1,3),(1,4)],6) => 12 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 30 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 6 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 12 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 6 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 12 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 6 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 12 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 8 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 8 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12 ([(1,3),(1,5),(4,2),(5,4)],6) => 4 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 4 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 2 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 3 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 3 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 4 ([(1,5),(2,3),(2,4),(4,5)],6) => 12 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 4 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 4 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2 ([(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) => 4 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 4 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 5 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 6 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 4 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 4 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 5 ([(0,4),(1,3),(1,5),(5,2)],6) => 4 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 4 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 6 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 4 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 4 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 4 ([(1,4),(1,5),(2,3),(2,5)],6) => 12 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 24 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 8 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 8 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 12 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 12 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 12 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 8 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 8 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 8 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 4 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 12 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 4 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 4 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 4 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 4 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 4 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 6 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 5 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 4 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 4 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 4 ([(0,4),(0,5),(1,2),(1,3)],6) => 8 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 10 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 28 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 10 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 10 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 12 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 30 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 12 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 8 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 10 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 6 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 8 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 4 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 3 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 6 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 6 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 7 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 8 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 4 ([(1,4),(2,3),(2,5),(4,5)],6) => 9 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 3 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 12 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 4 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 3 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 3 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 4 ([(0,5),(1,3),(1,4),(5,2)],6) => 4 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 4 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 4 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 8 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 4 ([(2,5),(3,4),(4,5)],6) => 24 ([(1,5),(2,3),(3,5),(5,4)],6) => 6 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 4 ([(1,3),(2,4),(4,5)],6) => 6 ([(1,5),(4,3),(5,2),(5,4)],6) => 4 ([(1,5),(2,3),(3,4),(3,5)],6) => 9 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 3 ([(0,4),(1,5),(5,2),(5,3)],6) => 4 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 6 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 8 ([(1,5),(3,4),(4,2),(5,3)],6) => 2 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2 ([(1,4),(2,3),(3,5),(4,5)],6) => 6 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2 ([(0,5),(1,4),(4,2),(5,3)],6) => 2 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 3 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 4 ([(1,5),(2,3),(3,4),(4,5)],6) => 6 ([(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) => 2 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2 ([(0,5),(1,4),(2,3)],6) => 6 ([(0,5),(1,3),(2,4),(2,5)],6) => 9 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 18 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 3 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 3 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 9 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 3 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 9 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 3 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 9 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 11 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 20 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 28 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 12 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 20 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 28 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 10 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 19 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 11 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 10 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 10 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 8 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 10 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 3 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 4 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 3 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 8 ([(0,5),(1,3),(4,2),(5,4)],6) => 2 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 3 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 3 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 3 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1 ([(0,5),(1,3),(2,4),(4,5)],6) => 6 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 8 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 6 ([(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) => 2 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 6 ([],7) => 5040 ([(5,6)],7) => 720 ([(4,5),(4,6)],7) => 240 ([(3,4),(3,5),(3,6)],7) => 144 ([(2,3),(2,4),(2,5),(2,6)],7) => 144 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 240 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 720 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 120 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 120 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 120 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 120 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 120 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 48 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 48 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 48 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 48 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 48 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 24 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 24 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 30 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 24 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 24 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 24 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 32 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 40 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 48 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 32 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 24 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 30 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 36 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 36 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 42 ([(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) => 48 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 24 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 24 ([(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) => 24 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 36 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 48 ([(2,4),(2,5),(2,6),(6,3)],7) => 36 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 24 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 36 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 36 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 36 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 12 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 12 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 12 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 16 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 20 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 24 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 12 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 12 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 10 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 10 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 10 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 8 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 8 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 16 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 8 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 12 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 20 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 8 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 12 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 12 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 6 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 6 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 10 ([(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) => 12 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 18 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 24 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 12 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 12 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 20 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 12 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 12 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 12 ([(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) => 9 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 12 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 24 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 12 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 24 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 36 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 6 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 9 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 18 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 11 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 20 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 28 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 12 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 20 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 28 ([(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) => 36 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 19 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 10 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 10 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 9 ([(3,4),(3,5),(5,6)],7) => 48 ([(2,5),(2,6),(6,3),(6,4)],7) => 24 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 24 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 48 ([(3,4),(3,5),(4,6),(5,6)],7) => 48 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 12 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 8 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 12 ([(2,5),(2,6),(5,4),(6,3)],7) => 12 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 18 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 24 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 8 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 8 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 8 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 4 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 4 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 6 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 8 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 6 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 6 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 8 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 16 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 8 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 12 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 30 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 8 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 16 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 24 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 12 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 12 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 12 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 8 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 8 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 4 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 8 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 10 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 28 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 12 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 30 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 48 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 12 ([(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) => 4 ([(4,5),(5,6)],7) => 120 ([(3,4),(4,5),(4,6)],7) => 48 ([(2,6),(6,3),(6,4),(6,5)],7) => 36 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 48 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120 ([(3,4),(4,6),(6,5)],7) => 24 ([(2,5),(5,6),(6,3),(6,4)],7) => 12 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 12 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24 ([(4,6),(5,6)],7) => 720 ([(3,6),(4,6),(6,5)],7) => 120 ([(2,6),(3,6),(6,4),(6,5)],7) => 48 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 36 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 48 ([(3,6),(4,6),(5,6)],7) => 720 ([(2,6),(3,6),(4,6),(6,5)],7) => 120 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 48 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 36 ([(2,6),(3,6),(4,6),(5,6)],7) => 720 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 120 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 48 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 720 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 120 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 720 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 120 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 24 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 120 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 144 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 120 ([(1,6),(2,6),(3,6),(4,5)],7) => 120 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 24 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 120 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 24 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 12 ([(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) => 150 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 30 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 30 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 30 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 48 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 12 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 30 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 48 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 72 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 48 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 48 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 120 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 24 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 24 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 6 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 24 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 24 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 30 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 6 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 4 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 6 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 24 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 120 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 144 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 168 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 192 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 192 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 216 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 240 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 24 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 12 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 120 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 144 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 168 ([(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) => 12 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 120 ([(2,6),(3,6),(4,5)],7) => 120 ([(2,6),(3,5),(4,5),(4,6)],7) => 160 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 32 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 16 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 32 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 8 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 8 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 12 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 16 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 200 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 40 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 20 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 14 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 20 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 40 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 10 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 16 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 240 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 24 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 12 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 72 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 42 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 48 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 40 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 20 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 40 ([(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) => 10 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 10 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 40 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 10 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 40 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 10 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 40 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 44 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 68 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 44 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 42 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 42 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 36 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 36 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 32 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 60 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 8 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 32 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 8 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 32 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 38 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 44 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 70 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 94 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 68 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 36 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 64 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 38 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 30 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 36 ([(2,6),(3,6),(4,5),(6,4)],7) => 24 ([(2,6),(3,5),(4,5),(5,6)],7) => 120 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 24 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 12 ([(1,6),(2,6),(3,4),(6,5)],7) => 24 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 12 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 40 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 10 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 12 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 12 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 28 ([(2,6),(3,6),(4,5),(4,6)],7) => 160 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 32 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 16 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 32 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 32 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 8 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 14 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 16 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 10 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 16 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 8 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 8 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 8 ([(1,6),(2,6),(3,4),(3,5)],7) => 48 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 12 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 32 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 48 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 12 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 8 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 12 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 8 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 12 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 28 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 80 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 20 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 20 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 20 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 20 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 20 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 36 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 12 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 20 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 20 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 36 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 72 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 12 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 12 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 6 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 36 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 12 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 6 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 36 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 12 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 12 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 36 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 48 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 12 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 48 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 12 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 12 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 4 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 8 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 12 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 8 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 12 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 12 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 8 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 12 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 16 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 4 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 4 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 5 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 6 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 10 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 7 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 4 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 4 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 4 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 4 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 4 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 8 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 8 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 6 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 6 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 12 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 12 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 8 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 12 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 14 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 12 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 8 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 12 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 12 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 4 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 12 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 14 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 16 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 4 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 4 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 12 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 12 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 8 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 12 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 4 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 4 ([(2,6),(3,6),(4,5),(5,6)],7) => 120 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 24 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 12 ([(1,6),(2,6),(3,4),(4,5)],7) => 24 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 6 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 24 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 6 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 6 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 4 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 10 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 32 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 8 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 8 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 8 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 12 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 4 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 8 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 12 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 12 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 24 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 20 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 12 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 12 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 24 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 12 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 12 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 24 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 6 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 4 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 24 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 6 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 6 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 6 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 4 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 6 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 8 ([(1,6),(2,6),(3,5),(4,5)],7) => 120 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 150 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 30 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 30 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 180 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 36 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 36 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 36 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 180 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 36 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 36 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 210 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 42 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 240 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 48 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 30 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 24 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 12 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 6 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 4 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 120 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 24 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 24 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 12 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 12 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 36 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 24 ([(0,6),(1,6),(2,5),(3,4)],7) => 24 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 6 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 4 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 10 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 24 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 36 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 6 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 24 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 32 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 8 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 32 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 32 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 8 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 32 ([(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) => 36 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 42 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 36 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 66 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 42 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 30 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 30 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 36 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 36 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 40 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 66 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 92 ([(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) => 38 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 10 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 30 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 42 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 8 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 6 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 12 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 30 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 62 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 36 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 9 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 6 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 36 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 48 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 46 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 72 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 96 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 120 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 42 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 72 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 96 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 72 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 96 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 120 ([(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) => 144 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 46 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 12 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 12 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 8 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 36 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 48 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 72 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 96 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 8 ([(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) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 8 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 48 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 12 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 8 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 48 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 9 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 6 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 36 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 24 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 6 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 24 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 24 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 24 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 6 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 6 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 4 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 10 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 24 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 30 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 6 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 4 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 24 ([(3,6),(4,5)],7) => 120 ([(3,6),(4,5),(4,6)],7) => 180 ([(2,6),(3,4),(3,6),(4,5)],7) => 36 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 18 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 18 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 10 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 10 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 18 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 12 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 18 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 4 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 6 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 6 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 14 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 36 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 9 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 6 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 9 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 15 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 6 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 14 ([(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) => 9 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 3 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 3 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 5 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 5 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 6 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 4 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 6 ([(3,5),(3,6),(4,5),(4,6)],7) => 240 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 48 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 24 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 48 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 12 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 12 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 18 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 24 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 48 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 80 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 20 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 20 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 20 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 20 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 112 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 28 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 28 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 28 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 28 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 28 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 20 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 6 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 48 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 12 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 48 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 12 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 12 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 16 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 12 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 8 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 20 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 12 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 16 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 20 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 12 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 48 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 12 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 12 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 12 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 20 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 16 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 80 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 20 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 20 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 12 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 12 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 8 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 16 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 24 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 16 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 16 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 20 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 28 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 20 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 28 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 64 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 28 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 28 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 8 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 8 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 20 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 24 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 8 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 8 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 7 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 22 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 24 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 40 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 10 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 10 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 12 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 8 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 12 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 10 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 7 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 12 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 8 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 12 ([(2,6),(3,4),(3,6),(6,5)],7) => 36 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 18 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 18 ([(2,6),(3,4),(3,5)],7) => 48 ([(2,6),(3,4),(3,5),(3,6)],7) => 96 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 24 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 16 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 11 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 16 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 24 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 8 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 8 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 13 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 24 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 24 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 8 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 8 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 12 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 8 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 8 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 8 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 12 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 10 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 10 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 16 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 12 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 8 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 12 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 24 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 16 ([(1,6),(2,3),(2,4),(2,5)],7) => 36 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 90 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 30 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 30 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 30 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 30 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 30 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 30 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 30 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 48 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 144 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 24 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 48 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 24 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 48 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 24 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 48 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 24 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 48 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 30 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 28 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 30 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 48 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 12 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 12 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 36 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 12 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 6 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 36 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 12 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 12 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 6 ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 36 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 12 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 12 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 12 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 12 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 14 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 12 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 12 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 12 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 15 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 6 ----------------------------------------------------------------------------- Created: Feb 15, 2018 at 21:45 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Feb 16, 2018 at 10:02 by Martin Rubey