***************************************************************************** * 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: St000848 ----------------------------------------------------------------------------- Collection: Posets ----------------------------------------------------------------------------- Description: The balance constant multiplied with the number of linear extensions of a poset. A pair of elements $x,y$ of a poset is $\alpha$-balanced if the proportion $P(x,y)$ of linear extensions where $x$ comes before $y$ is between $\alpha$ and $1-\alpha$. The balance constant of a poset is $\max\min(P(x,y), P(y,x)).$ Kislitsyn [1] conjectured that every poset which is not a chain is $1/3$-balanced. Brightwell, Felsner and Trotter [2] show that it is at least $(1-\sqrt 5)/10$-balanced. Olson and Sagan [3] exhibit various posets that are $1/2$-balanced. ----------------------------------------------------------------------------- References: [1] Kislicyn, S. S. Finite partially ordered sets and their corresponding permutation sets [[MathSciNet:0244113]] [2] Brightwell, G. R., Felsner, S., Trotter, W. T. Balancing pairs and the cross product conjecture [[MathSciNet:1368815]] [3] Olson, E. J., Sagan, B. E. On the $1/3-2/3$ Conjecture [[arXiv:1706.04985]] ----------------------------------------------------------------------------- Code: def statistic(P): l_ext = P.linear_extensions().list() max_balance = 0 for x,y in Subsets(P,2): l = [ext for ext in l_ext if ext.index(x) < ext.index(y)] new_balance = min(len(l), len(l_ext)-len(l)) max_balance = max(new_balance, max_balance) return max_balance ----------------------------------------------------------------------------- Statistic values: ([],2) => 1 ([(0,1)],2) => 0 ([],3) => 3 ([(1,2)],3) => 1 ([(0,1),(0,2)],3) => 1 ([(0,2),(2,1)],3) => 0 ([(0,2),(1,2)],3) => 1 ([],4) => 12 ([(2,3)],4) => 6 ([(1,2),(1,3)],4) => 4 ([(0,1),(0,2),(0,3)],4) => 3 ([(0,2),(0,3),(3,1)],4) => 1 ([(0,1),(0,2),(1,3),(2,3)],4) => 1 ([(1,2),(2,3)],4) => 2 ([(0,3),(3,1),(3,2)],4) => 1 ([(1,3),(2,3)],4) => 4 ([(0,3),(1,3),(3,2)],4) => 1 ([(0,3),(1,3),(2,3)],4) => 3 ([(0,3),(1,2)],4) => 3 ([(0,3),(1,2),(1,3)],4) => 2 ([(0,2),(0,3),(1,2),(1,3)],4) => 2 ([(0,3),(2,1),(3,2)],4) => 0 ([(0,3),(1,2),(2,3)],4) => 1 ([],5) => 60 ([(3,4)],5) => 30 ([(2,3),(2,4)],5) => 20 ([(1,2),(1,3),(1,4)],5) => 15 ([(0,1),(0,2),(0,3),(0,4)],5) => 12 ([(0,2),(0,3),(0,4),(4,1)],5) => 6 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 4 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 3 ([(1,3),(1,4),(4,2)],5) => 7 ([(0,3),(0,4),(4,1),(4,2)],5) => 4 ([(1,2),(1,3),(2,4),(3,4)],5) => 5 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1 ([(0,3),(0,4),(3,2),(4,1)],5) => 3 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2 ([(2,3),(3,4)],5) => 10 ([(1,4),(4,2),(4,3)],5) => 5 ([(0,4),(4,1),(4,2),(4,3)],5) => 3 ([(2,4),(3,4)],5) => 20 ([(1,4),(2,4),(4,3)],5) => 5 ([(0,4),(1,4),(4,2),(4,3)],5) => 2 ([(1,4),(2,4),(3,4)],5) => 15 ([(0,4),(1,4),(2,4),(4,3)],5) => 3 ([(0,4),(1,4),(2,4),(3,4)],5) => 12 ([(0,4),(1,4),(2,3)],5) => 10 ([(0,4),(1,3),(2,3),(2,4)],5) => 8 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 7 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 6 ([(0,4),(1,4),(2,3),(4,2)],5) => 1 ([(0,4),(1,3),(2,3),(3,4)],5) => 4 ([(0,4),(1,4),(2,3),(2,4)],5) => 9 ([(0,4),(1,4),(2,3),(3,4)],5) => 6 ([(1,4),(2,3)],5) => 15 ([(1,4),(2,3),(2,4)],5) => 10 ([(0,4),(1,2),(1,4),(2,3)],5) => 4 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 2 ([(1,3),(1,4),(2,3),(2,4)],5) => 10 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 3 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 2 ([(0,4),(1,2),(1,4),(4,3)],5) => 3 ([(0,4),(1,2),(1,3)],5) => 10 ([(0,4),(1,2),(1,3),(1,4)],5) => 9 ([(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) => 1 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4 ([(0,3),(0,4),(1,2),(1,4)],5) => 8 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 7 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 6 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 3 ([(0,3),(1,2),(1,4),(3,4)],5) => 4 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 3 ([(1,4),(3,2),(4,3)],5) => 2 ([(0,3),(3,4),(4,1),(4,2)],5) => 1 ([(1,4),(2,3),(3,4)],5) => 7 ([(0,4),(1,2),(2,4),(4,3)],5) => 1 ([(0,3),(1,4),(4,2)],5) => 4 ([(0,4),(3,2),(4,1),(4,3)],5) => 1 ([(0,4),(1,2),(2,3),(2,4)],5) => 3 ([(0,4),(2,3),(3,1),(4,2)],5) => 0 ([(0,3),(1,2),(2,4),(3,4)],5) => 3 ([(0,4),(1,2),(2,3),(3,4)],5) => 2 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1 ([],6) => 360 ([(4,5)],6) => 180 ([(3,4),(3,5)],6) => 120 ([(2,3),(2,4),(2,5)],6) => 90 ([(1,2),(1,3),(1,4),(1,5)],6) => 72 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 60 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 30 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 20 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 15 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 12 ([(1,3),(1,4),(1,5),(5,2)],6) => 36 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 20 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 24 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 18 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 3 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 10 ([(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) => 7 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 6 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 9 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 4 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 5 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 15 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 10 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 10 ([(2,3),(2,4),(4,5)],6) => 45 ([(1,4),(1,5),(5,2),(5,3)],6) => 24 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 15 ([(2,3),(2,4),(3,5),(4,5)],6) => 30 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 6 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2 ([(1,4),(1,5),(4,3),(5,2)],6) => 18 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 14 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 3 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2 ([(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) => 10 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 9 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 8 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 7 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 6 ([(3,4),(4,5)],6) => 60 ([(2,3),(3,4),(3,5)],6) => 30 ([(1,5),(5,2),(5,3),(5,4)],6) => 18 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 12 ([(2,3),(3,5),(5,4)],6) => 15 ([(1,4),(4,5),(5,2),(5,3)],6) => 6 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 3 ([(3,5),(4,5)],6) => 120 ([(2,5),(3,5),(5,4)],6) => 30 ([(1,5),(2,5),(5,3),(5,4)],6) => 12 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 6 ([(2,5),(3,5),(4,5)],6) => 90 ([(1,5),(2,5),(3,5),(5,4)],6) => 18 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 6 ([(1,5),(2,5),(3,5),(4,5)],6) => 72 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 12 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 60 ([(0,5),(1,5),(2,5),(3,4)],6) => 45 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 3 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 15 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 42 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 30 ([(1,5),(2,5),(3,4)],6) => 60 ([(1,5),(2,4),(3,4),(3,5)],6) => 48 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 12 ([(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) => 42 ([(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) => 7 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 36 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 9 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6 ([(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) => 4 ([(0,5),(1,5),(2,3),(5,4)],6) => 15 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 3 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 9 ([(1,5),(2,5),(3,4),(3,5)],6) => 54 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 12 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 19 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 9 ([(0,5),(1,5),(2,3),(2,4)],6) => 40 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 2 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 14 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 8 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 38 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 9 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 5 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 3 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 26 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 7 ([(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) => 20 ([(1,5),(2,5),(3,4),(4,5)],6) => 36 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 6 ([(0,5),(1,5),(2,3),(3,4)],6) => 20 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 10 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 6 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 16 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 10 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 5 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 3 ([(0,5),(1,5),(2,4),(3,4)],6) => 40 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 35 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 32 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 30 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 27 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 24 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 5 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 2 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 20 ([(2,5),(3,4)],6) => 90 ([(2,5),(3,4),(3,5)],6) => 75 ([(1,5),(2,3),(2,5),(3,4)],6) => 26 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 14 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 5 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 5 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 14 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 2 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 7 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 6 ([(2,4),(2,5),(3,4),(3,5)],6) => 60 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18 ([(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) => 6 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 5 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 4 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 30 ([(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) => 2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 3 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 14 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 26 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 11 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 24 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 16 ([(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) => 18 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 9 ([(1,5),(2,3),(2,4)],6) => 60 ([(1,5),(2,3),(2,4),(2,5)],6) => 54 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 19 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 11 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 14 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 9 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 16 ([(0,5),(1,2),(1,3),(1,4)],6) => 45 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 42 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 10 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 26 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 7 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 19 ([(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) => 15 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 19 ([(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) => 9 ([(1,3),(1,5),(4,2),(5,4)],6) => 12 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 5 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 4 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 4 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 4 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 3 ([(1,5),(2,3),(2,4),(4,5)],6) => 33 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 6 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 9 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 1 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 24 ([(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) => 12 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 10 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 9 ([(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) => 11 ([(0,4),(1,3),(1,5),(5,2)],6) => 19 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 7 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 15 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 12 ([(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) => 15 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 10 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 5 ([(1,4),(1,5),(2,3),(2,5)],6) => 48 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 42 ([(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) => 9 ([(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) => 8 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 6 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 16 ([(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) => 7 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 15 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 24 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 7 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 5 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 3 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 16 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 10 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 11 ([(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) => 11 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 8 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 5 ([(0,4),(0,5),(1,2),(1,3)],6) => 40 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 35 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 32 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 15 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 13 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 30 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 27 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 24 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 15 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 15 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 11 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 18 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 14 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 3 ([(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) => 14 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 11 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 8 ([(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) => 9 ([(1,4),(2,3),(2,5),(4,5)],6) => 26 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 6 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 18 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 3 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 9 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 4 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 7 ([(0,5),(1,3),(1,4),(5,2)],6) => 20 ([(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) => 12 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 10 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 5 ([(2,5),(3,4),(4,5)],6) => 45 ([(1,5),(2,3),(3,5),(5,4)],6) => 8 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 3 ([(1,3),(2,4),(4,5)],6) => 30 ([(1,5),(4,3),(5,2),(5,4)],6) => 8 ([(1,5),(2,3),(3,4),(3,5)],6) => 18 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 4 ([(0,4),(1,5),(5,2),(5,3)],6) => 15 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 6 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 12 ([(1,5),(3,4),(4,2),(5,3)],6) => 3 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 1 ([(1,4),(2,3),(3,5),(4,5)],6) => 18 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 3 ([(0,5),(1,4),(4,2),(5,3)],6) => 10 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 2 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 7 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 6 ([(1,5),(2,3),(3,4),(4,5)],6) => 12 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 6 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 1 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2 ([(0,5),(1,4),(2,3)],6) => 45 ([(0,5),(1,3),(2,4),(2,5)],6) => 35 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 33 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 6 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 4 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 18 ([(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) => 10 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 4 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 15 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 28 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 26 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 24 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 24 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 22 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 20 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 11 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 24 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 15 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 33 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 15 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 16 ([(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) => 6 ([(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) => 2 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 19 ([(0,5),(1,3),(4,2),(5,4)],6) => 6 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 3 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 6 ([(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) => 1 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 4 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0 ([(0,5),(1,3),(2,4),(4,5)],6) => 19 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 15 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 7 ([(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) => 1 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 4 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 1 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 15 ([],7) => 2520 ([(5,6)],7) => 1260 ([(4,5),(4,6)],7) => 840 ([(3,4),(3,5),(3,6)],7) => 630 ([(2,3),(2,4),(2,5),(2,6)],7) => 504 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 420 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 360 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 180 ([(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) => 90 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 72 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 60 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 210 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 120 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 140 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 105 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 84 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 12 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 45 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 42 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 15 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 18 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 60 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 48 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 42 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 36 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 54 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 40 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 35 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 32 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 30 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 27 ([(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) => 24 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 20 ([(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) => 30 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 90 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 75 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 60 ([(2,4),(2,5),(2,6),(6,3)],7) => 252 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 140 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 90 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 168 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 126 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 21 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 6 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 70 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 56 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 49 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 42 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 9 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 6 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 12 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 7 ([(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) => 12 ([(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) => 63 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 12 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 40 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 38 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 14 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 8 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 28 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 4 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 15 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 9 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 35 ([(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) => 105 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 79 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 70 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 30 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 26 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 24 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 11 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 14 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 10 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 18 ([(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) => 18 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 60 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 54 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 48 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 42 ([(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) => 45 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 35 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 33 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 28 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 26 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 24 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 24 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 22 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 20 ([(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) => 18 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 24 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 11 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 33 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 15 ([(3,4),(3,5),(5,6)],7) => 315 ([(2,5),(2,6),(6,3),(6,4)],7) => 168 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 105 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 72 ([(3,4),(3,5),(4,6),(5,6)],7) => 210 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 42 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 14 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 6 ([(2,5),(2,6),(5,4),(6,3)],7) => 126 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 105 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 84 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 21 ([(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) => 14 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 6 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 5 ([(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) => 21 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 9 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 70 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 63 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 16 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 45 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 42 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 56 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 49 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 42 ([(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) => 8 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 6 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 12 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 9 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 15 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 40 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 35 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 32 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 30 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 27 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 24 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 63 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 10 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 3 ([(4,5),(5,6)],7) => 420 ([(3,4),(4,5),(4,6)],7) => 210 ([(2,6),(6,3),(6,4),(6,5)],7) => 126 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 84 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 60 ([(3,4),(4,6),(6,5)],7) => 105 ([(2,5),(5,6),(6,3),(6,4)],7) => 42 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 21 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 12 ([(4,6),(5,6)],7) => 840 ([(3,6),(4,6),(6,5)],7) => 210 ([(2,6),(3,6),(6,4),(6,5)],7) => 84 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 42 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 24 ([(3,6),(4,6),(5,6)],7) => 630 ([(2,6),(3,6),(4,6),(6,5)],7) => 126 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 42 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 18 ([(2,6),(3,6),(4,6),(5,6)],7) => 504 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 84 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 24 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 420 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 60 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 360 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 252 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 12 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 72 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 240 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 180 ([(1,6),(2,6),(3,6),(4,5)],7) => 315 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 21 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 105 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 63 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 9 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 33 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 294 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 54 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 102 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 42 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 210 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 6 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 60 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 30 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 204 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 150 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 120 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 210 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 30 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 105 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 3 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 15 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 45 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 90 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 15 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 6 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 60 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 210 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 180 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 162 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 150 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 144 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 132 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 120 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 18 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 6 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 90 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 192 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 180 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 30 ([(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) => 6 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 120 ([(2,6),(3,6),(4,5)],7) => 420 ([(2,6),(3,5),(4,5),(4,6)],7) => 336 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 84 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 38 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 56 ([(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) => 26 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 19 ([(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) => 294 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 84 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 36 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 19 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 14 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 49 ([(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) => 17 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 252 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 63 ([(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) => 42 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 126 ([(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) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 51 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 9 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 36 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 114 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 42 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 108 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 72 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 75 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 60 ([(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) => 26 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 147 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 18 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 7 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 12 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 66 ([(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) => 42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 13 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 57 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 129 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 45 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 123 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 84 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 134 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 56 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 78 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 81 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 66 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 90 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 168 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 144 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 18 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 66 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 12 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 48 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 144 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 118 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 102 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 101 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 112 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 56 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 138 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 84 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 90 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 72 ([(2,6),(3,6),(4,5),(6,4)],7) => 42 ([(2,6),(3,5),(4,5),(5,6)],7) => 168 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 28 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 8 ([(1,6),(2,6),(3,4),(6,5)],7) => 105 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 21 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 63 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 13 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 42 ([(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) => 30 ([(2,6),(3,6),(4,5),(4,6)],7) => 378 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 84 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 30 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 133 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 63 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 31 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 21 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 68 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 28 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 18 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 34 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 9 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 19 ([(1,6),(2,6),(3,4),(3,5)],7) => 280 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 14 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 98 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 56 ([(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) => 18 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 70 ([(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) => 38 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 26 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 266 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 62 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 102 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 47 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 68 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 38 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 210 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 6 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 68 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 36 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 24 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 204 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 55 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 30 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 18 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 142 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 39 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 24 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 110 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 36 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 20 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 90 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 182 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 32 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 140 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 20 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 105 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 3 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 34 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 24 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 14 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 8 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 50 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 40 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 24 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 87 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 26 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 9 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 25 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 14 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 13 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 22 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 12 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 11 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 8 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 15 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 5 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 14 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 9 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 22 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 14 ([(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) => 71 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 26 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 26 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 19 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 65 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 45 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 24 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 15 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 70 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 2 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 40 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 56 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 50 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 6 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 30 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 55 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 29 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 18 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 18 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 10 ([(2,6),(3,6),(4,5),(5,6)],7) => 252 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 42 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 12 ([(1,6),(2,6),(3,4),(4,5)],7) => 140 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 7 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 70 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 10 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 35 ([(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) => 25 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 112 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 22 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 31 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 16 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 70 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 2 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 30 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 20 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 32 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 20 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 62 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 40 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 23 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 15 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 30 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 18 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 12 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 17 ([(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) => 7 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 1 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 70 ([(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) => 35 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 20 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 8 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 4 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 25 ([(1,6),(2,6),(3,5),(4,5)],7) => 280 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 245 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 65 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 35 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 224 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 62 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 32 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 44 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 210 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 48 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 30 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 189 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 45 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 27 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 39 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 168 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 36 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 24 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 53 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 35 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 14 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 5 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 2 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 140 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 20 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 70 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 17 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 8 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 50 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 40 ([(0,6),(1,6),(2,5),(3,4)],7) => 210 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 21 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 6 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 15 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 84 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 48 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 4 ([(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) => 189 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 15 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 69 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 99 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 12 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 54 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 174 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 87 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 155 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 50 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 149 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 105 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 120 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 90 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 75 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 175 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 136 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 120 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 114 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 17 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 63 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 11 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 64 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 44 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 20 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 5 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 14 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 80 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 164 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 111 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 18 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 9 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 75 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 140 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 117 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 106 ([(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) => 90 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 55 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 104 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 52 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 100 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 94 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 88 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 90 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 84 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 78 ([(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) => 72 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 62 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 17 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 10 ([(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) => 60 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 40 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 130 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 124 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 23 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 10 ([(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) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 5 ([(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) => 80 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 18 ([(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) => 60 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 23 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 11 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 95 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 126 ([(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) => 36 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 90 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 105 ([(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) => 15 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 3 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 9 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 60 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 81 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 8 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 3 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 45 ([(3,6),(4,5)],7) => 630 ([(3,6),(4,5),(4,6)],7) => 525 ([(2,6),(3,4),(3,6),(4,5)],7) => 189 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 98 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 60 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 28 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 19 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 15 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 42 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 35 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 9 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 30 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 19 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 17 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 105 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 17 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 5 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 52 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 42 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 25 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 21 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 42 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 28 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 4 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 14 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 8 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 9 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 20 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 10 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 9 ([(3,5),(3,6),(4,5),(4,6)],7) => 420 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 126 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 56 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 30 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 84 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 14 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 42 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 35 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 28 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 12 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 210 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 182 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 54 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 38 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 32 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 26 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 168 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 54 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 36 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 24 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 31 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 44 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 52 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 28 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 9 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 6 ([(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) => 7 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 9 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 98 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 21 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 70 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 10 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 32 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 28 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 18 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 63 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 11 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 41 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 42 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 26 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 22 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 182 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 48 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 77 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 21 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 15 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 11 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 53 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 33 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 32 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 18 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 168 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 45 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 30 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 62 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 33 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 24 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 105 ([(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) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 21 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 65 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 35 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 36 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 26 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 50 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 29 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 140 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 10 ([(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) => 7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 6 ([(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) => 36 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 40 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 28 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 24 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 130 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 51 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 30 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 124 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 79 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 58 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 23 ([(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) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 82 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 30 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 64 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 15 ([(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) => 16 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 9 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 60 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 52 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 46 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 40 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 112 ([(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) => 31 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 16 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 84 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 18 ([(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) => 70 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 3 ([(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) => 40 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 30 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 18 ([(0,4),(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),(3,6)],7) => 52 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 26 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 44 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 26 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 30 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 10 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 20 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 10 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 6 ([(2,6),(3,4),(3,6),(6,5)],7) => 147 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 63 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 33 ([(2,6),(3,4),(3,5)],7) => 420 ([(2,6),(3,4),(3,5),(3,6)],7) => 378 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 134 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 80 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 37 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 28 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 79 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 11 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 40 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 33 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 98 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 63 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 9 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 30 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 25 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 20 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 14 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 60 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 49 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 23 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 19 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 23 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 40 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 23 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 18 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 28 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 23 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 112 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 50 ([(1,6),(2,3),(2,4),(2,5)],7) => 315 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 294 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 120 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 65 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 80 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 51 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 60 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 42 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 90 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 252 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 240 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 60 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 150 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 45 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 110 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 36 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 87 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 30 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 72 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 102 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 62 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 45 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 36 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 70 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 30 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 182 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 40 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 51 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 8 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 133 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 23 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 42 ([(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) => 105 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 15 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 55 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 19 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 26 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 51 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 69 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 26 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 33 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 66 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 19 ----------------------------------------------------------------------------- Created: Jun 16, 2017 at 06:35 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jul 17, 2017 at 07:29 by Martin Rubey