***************************************************************************** * 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: St000850 ----------------------------------------------------------------------------- Collection: Posets ----------------------------------------------------------------------------- Description: The number of 1/2-balanced pairs in a poset. A pair of elements $x,y$ of a poset is $\alpha$-balanced if the proportion of linear extensions where $x$ comes before $y$ is between $\alpha$ and $1-\alpha$. Kislitsyn [1] conjectured that every poset which is not a chain has a $1/3$-balanced pair. Brightwell, Felsner and Trotter [2] show that at least a $(1-\sqrt 5)/10$-balanced pair exists in posets which are not chains. Olson and Sagan [3] exhibit various posets that have a $1/2$-balanced pair. ----------------------------------------------------------------------------- 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, alpha=1/2): l_ext = P.linear_extensions().list() lower = len(l_ext)*alpha upper = len(l_ext)*(1-alpha) pairs = 0 for x,y in Subsets(P,2): l = [ext for ext in l_ext if ext.index(x) < ext.index(y)] if lower <= len(l) <= upper: pairs += 1 return pairs ----------------------------------------------------------------------------- Statistic values: ([],2) => 1 ([(0,1)],2) => 0 ([],3) => 3 ([(1,2)],3) => 0 ([(0,1),(0,2)],3) => 1 ([(0,2),(2,1)],3) => 0 ([(0,2),(1,2)],3) => 1 ([],4) => 6 ([(2,3)],4) => 1 ([(1,2),(1,3)],4) => 1 ([(0,1),(0,2),(0,3)],4) => 3 ([(0,2),(0,3),(3,1)],4) => 0 ([(0,1),(0,2),(1,3),(2,3)],4) => 1 ([(1,2),(2,3)],4) => 1 ([(0,3),(3,1),(3,2)],4) => 1 ([(1,3),(2,3)],4) => 1 ([(0,3),(1,3),(3,2)],4) => 1 ([(0,3),(1,3),(2,3)],4) => 3 ([(0,3),(1,2)],4) => 2 ([(0,3),(1,2),(1,3)],4) => 0 ([(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) => 0 ([],5) => 10 ([(3,4)],5) => 3 ([(2,3),(2,4)],5) => 2 ([(1,2),(1,3),(1,4)],5) => 3 ([(0,1),(0,2),(0,3),(0,4)],5) => 6 ([(0,2),(0,3),(0,4),(4,1)],5) => 1 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 1 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 3 ([(1,3),(1,4),(4,2)],5) => 0 ([(0,3),(0,4),(4,1),(4,2)],5) => 1 ([(1,2),(1,3),(2,4),(3,4)],5) => 3 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1 ([(0,3),(0,4),(3,2),(4,1)],5) => 2 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 0 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2 ([(2,3),(3,4)],5) => 3 ([(1,4),(4,2),(4,3)],5) => 1 ([(0,4),(4,1),(4,2),(4,3)],5) => 3 ([(2,4),(3,4)],5) => 2 ([(1,4),(2,4),(4,3)],5) => 1 ([(0,4),(1,4),(4,2),(4,3)],5) => 2 ([(1,4),(2,4),(3,4)],5) => 3 ([(0,4),(1,4),(2,4),(4,3)],5) => 3 ([(0,4),(1,4),(2,4),(3,4)],5) => 6 ([(0,4),(1,4),(2,3)],5) => 1 ([(0,4),(1,3),(2,3),(2,4)],5) => 2 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 1 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 4 ([(0,4),(1,4),(2,3),(4,2)],5) => 1 ([(0,4),(1,3),(2,3),(3,4)],5) => 1 ([(0,4),(1,4),(2,3),(2,4)],5) => 1 ([(0,4),(1,4),(2,3),(3,4)],5) => 1 ([(1,4),(2,3)],5) => 2 ([(1,4),(2,3),(2,4)],5) => 0 ([(0,4),(1,2),(1,4),(2,3)],5) => 0 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 0 ([(1,3),(1,4),(2,3),(2,4)],5) => 2 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 1 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 2 ([(0,4),(1,2),(1,4),(4,3)],5) => 0 ([(0,4),(1,2),(1,3)],5) => 1 ([(0,4),(1,2),(1,3),(1,4)],5) => 1 ([(0,2),(0,4),(3,1),(4,3)],5) => 1 ([(0,4),(1,2),(1,3),(3,4)],5) => 0 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 0 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 1 ([(0,3),(0,4),(1,2),(1,4)],5) => 2 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 1 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 4 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 0 ([(0,3),(1,2),(1,4),(3,4)],5) => 0 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 1 ([(1,4),(3,2),(4,3)],5) => 0 ([(0,3),(3,4),(4,1),(4,2)],5) => 1 ([(1,4),(2,3),(3,4)],5) => 0 ([(0,4),(1,2),(2,4),(4,3)],5) => 0 ([(0,3),(1,4),(4,2)],5) => 0 ([(0,4),(3,2),(4,1),(4,3)],5) => 0 ([(0,4),(1,2),(2,3),(2,4)],5) => 0 ([(0,4),(2,3),(3,1),(4,2)],5) => 0 ([(0,3),(1,2),(2,4),(3,4)],5) => 2 ([(0,4),(1,2),(2,3),(3,4)],5) => 1 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1 ([],6) => 15 ([(4,5)],6) => 6 ([(3,4),(3,5)],6) => 4 ([(2,3),(2,4),(2,5)],6) => 4 ([(1,2),(1,3),(1,4),(1,5)],6) => 6 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 10 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 3 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 2 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 3 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 6 ([(1,3),(1,4),(1,5),(5,2)],6) => 1 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 2 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 1 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 6 ([(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) => 1 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 2 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 1 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 1 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 1 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 1 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 2 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 0 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 2 ([(2,3),(2,4),(4,5)],6) => 1 ([(1,4),(1,5),(5,2),(5,3)],6) => 1 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 3 ([(2,3),(2,4),(3,5),(4,5)],6) => 6 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2 ([(1,4),(1,5),(4,3),(5,2)],6) => 2 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 0 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 1 ([(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) => 0 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 1 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 1 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 2 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 1 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4 ([(3,4),(4,5)],6) => 6 ([(2,3),(3,4),(3,5)],6) => 2 ([(1,5),(5,2),(5,3),(5,4)],6) => 3 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 6 ([(2,3),(3,5),(5,4)],6) => 1 ([(1,4),(4,5),(5,2),(5,3)],6) => 2 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 3 ([(3,5),(4,5)],6) => 4 ([(2,5),(3,5),(5,4)],6) => 2 ([(1,5),(2,5),(5,3),(5,4)],6) => 3 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 4 ([(2,5),(3,5),(4,5)],6) => 4 ([(1,5),(2,5),(3,5),(5,4)],6) => 3 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 4 ([(1,5),(2,5),(3,5),(4,5)],6) => 6 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 6 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 10 ([(0,5),(1,5),(2,5),(3,4)],6) => 3 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 3 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 3 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 3 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 3 ([(1,5),(2,5),(3,4)],6) => 1 ([(1,5),(2,4),(3,4),(3,5)],6) => 2 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 0 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 2 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 1 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 1 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 1 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 3 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 1 ([(1,5),(2,5),(3,4),(5,3)],6) => 2 ([(1,5),(2,4),(3,4),(4,5)],6) => 1 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1 ([(0,5),(1,5),(2,3),(5,4)],6) => 1 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 1 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 1 ([(1,5),(2,5),(3,4),(3,5)],6) => 1 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 2 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 1 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 1 ([(0,5),(1,5),(2,3),(2,4)],6) => 2 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 2 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 3 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 2 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 0 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 3 ([(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) => 1 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 0 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 1 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2 ([(1,5),(2,5),(3,4),(4,5)],6) => 1 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 1 ([(0,5),(1,5),(2,3),(3,4)],6) => 2 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 0 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 1 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 3 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 1 ([(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) => 7 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 1 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 3 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 7 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1 ([(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) => 2 ([(2,5),(3,4)],6) => 3 ([(2,5),(3,4),(3,5)],6) => 1 ([(1,5),(2,3),(2,5),(3,4)],6) => 0 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 3 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 1 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 0 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 0 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 1 ([(2,4),(2,5),(3,4),(3,5)],6) => 3 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 1 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 2 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 3 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 1 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 3 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 2 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 1 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 1 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 1 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 1 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 1 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 1 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 2 ([(1,5),(2,3),(2,5),(5,4)],6) => 0 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 1 ([(1,5),(2,3),(2,4)],6) => 1 ([(1,5),(2,3),(2,4),(2,5)],6) => 1 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 0 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 1 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 1 ([(0,5),(1,2),(1,3),(1,4)],6) => 3 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 3 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 3 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 1 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 0 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 1 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 1 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 1 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3 ([(1,3),(1,5),(4,2),(5,4)],6) => 1 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 1 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 0 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 0 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 0 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 0 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 0 ([(1,5),(2,3),(2,4),(4,5)],6) => 1 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 0 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 1 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 0 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 1 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 0 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 0 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 1 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 0 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 0 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 0 ([(0,4),(1,3),(1,5),(5,2)],6) => 0 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 0 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 0 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 0 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 1 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 1 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 1 ([(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) => 3 ([(1,4),(1,5),(2,3),(2,5)],6) => 2 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 1 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 2 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 2 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 1 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 0 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 2 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 1 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 0 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 0 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 0 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 0 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 0 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 2 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 2 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 0 ([(0,4),(0,5),(1,2),(1,3)],6) => 7 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 1 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 2 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 0 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 1 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 3 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 3 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 7 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 1 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 1 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 0 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 1 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 1 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 0 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 1 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 2 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 0 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 3 ([(1,4),(2,3),(2,5),(4,5)],6) => 0 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 1 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 0 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 0 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 0 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 0 ([(0,5),(1,3),(1,4),(5,2)],6) => 2 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 0 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 1 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 0 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 0 ([(2,5),(3,4),(4,5)],6) => 1 ([(1,5),(2,3),(3,5),(5,4)],6) => 0 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 1 ([(1,3),(2,4),(4,5)],6) => 1 ([(1,5),(4,3),(5,2),(5,4)],6) => 0 ([(1,5),(2,3),(3,4),(3,5)],6) => 0 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 0 ([(0,4),(1,5),(5,2),(5,3)],6) => 1 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 1 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 2 ([(1,5),(3,4),(4,2),(5,3)],6) => 1 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 1 ([(1,4),(2,3),(3,5),(4,5)],6) => 2 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2 ([(0,5),(1,4),(4,2),(5,3)],6) => 3 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 1 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 0 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 3 ([(1,5),(2,3),(3,4),(4,5)],6) => 1 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 1 ([(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) => 1 ([(0,5),(1,4),(2,3)],6) => 6 ([(0,5),(1,3),(2,4),(2,5)],6) => 0 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 2 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 0 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 0 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 0 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 0 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 0 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 0 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 0 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 6 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 2 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 6 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 0 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 0 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 2 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 0 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 0 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 0 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 2 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 0 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 0 ([(0,5),(1,3),(4,2),(5,4)],6) => 0 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 2 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 0 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 0 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 0 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0 ([(0,5),(1,3),(2,4),(4,5)],6) => 0 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 2 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 0 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 0 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 0 ([(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) => 0 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 0 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2 ([],7) => 21 ([(5,6)],7) => 10 ([(4,5),(4,6)],7) => 7 ([(3,4),(3,5),(3,6)],7) => 6 ([(2,3),(2,4),(2,5),(2,6)],7) => 7 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 15 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 4 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 10 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 3 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 4 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 2 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 3 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 10 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 6 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 3 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 3 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 3 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 3 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 1 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 2 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 1 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 7 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 1 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 3 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3 ([(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) => 7 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 1 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 2 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 3 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 1 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 3 ([(2,4),(2,5),(2,6),(6,3)],7) => 2 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 2 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 4 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 10 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 3 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 4 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 1 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 2 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 1 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 3 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 1 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 1 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 0 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 2 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 1 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 2 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 2 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 2 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 3 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 2 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 1 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 1 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 1 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 1 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 3 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 2 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 0 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 2 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 1 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 2 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 1 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 1 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 0 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 1 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 1 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 2 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 1 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4 ([(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) => 0 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 2 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 0 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 6 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(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) => 6 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 0 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 0 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 2 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 0 ([(3,4),(3,5),(5,6)],7) => 3 ([(2,5),(2,6),(6,3),(6,4)],7) => 2 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 3 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 6 ([(3,4),(3,5),(4,6),(5,6)],7) => 10 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 2 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 2 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 4 ([(2,5),(2,6),(5,4),(6,3)],7) => 3 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 1 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 1 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 2 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 2 ([(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) => 3 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 1 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 0 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 1 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 1 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 1 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 1 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 3 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 3 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 2 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 1 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 2 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 2 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 0 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 1 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 2 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 7 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 1 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 2 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 3 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 7 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 3 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 0 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 1 ([(4,5),(5,6)],7) => 10 ([(3,4),(4,5),(4,6)],7) => 4 ([(2,6),(6,3),(6,4),(6,5)],7) => 4 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 6 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 10 ([(3,4),(4,6),(6,5)],7) => 3 ([(2,5),(5,6),(6,3),(6,4)],7) => 4 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 3 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 6 ([(4,6),(5,6)],7) => 7 ([(3,6),(4,6),(6,5)],7) => 4 ([(2,6),(3,6),(6,4),(6,5)],7) => 5 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 4 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 7 ([(3,6),(4,6),(5,6)],7) => 6 ([(2,6),(3,6),(4,6),(6,5)],7) => 4 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 4 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 6 ([(2,6),(3,6),(4,6),(5,6)],7) => 7 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 6 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 7 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 10 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 10 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 15 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 6 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 6 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 6 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 6 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 6 ([(1,6),(2,6),(3,6),(4,5)],7) => 3 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 3 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 3 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 3 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 3 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 4 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 4 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 4 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 4 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 4 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 3 ([(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) => 3 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 3 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 1 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 2 ([(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) => 6 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 4 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 7 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 11 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 3 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 4 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 4 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 3 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 2 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 3 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 4 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4 ([(2,6),(3,6),(4,5)],7) => 2 ([(2,6),(3,5),(4,5),(4,6)],7) => 3 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 0 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 1 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 2 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 2 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 3 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 0 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 1 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 1 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 1 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 4 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 3 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 4 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 1 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 1 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 1 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 1 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 1 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 1 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 1 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 1 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 1 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 2 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 6 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 0 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 0 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 0 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 2 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 0 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 2 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 0 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 0 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 0 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 0 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2 ([(2,6),(3,6),(4,5),(6,4)],7) => 4 ([(2,6),(3,5),(4,5),(5,6)],7) => 2 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 1 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 2 ([(1,6),(2,6),(3,4),(6,5)],7) => 1 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 1 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 1 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 1 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 2 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 2 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 2 ([(2,6),(3,6),(4,5),(4,6)],7) => 2 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 2 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 2 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 1 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 1 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 1 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 2 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 1 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 1 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 1 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 1 ([(1,6),(2,6),(3,4),(3,5)],7) => 2 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 2 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 3 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 1 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 1 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 2 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 2 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 1 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 2 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 1 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 1 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 2 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 4 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 4 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 2 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 4 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 1 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 6 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 2 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 0 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 1 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 1 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 1 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 1 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 1 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 1 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 1 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 2 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 3 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 2 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 1 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 0 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 1 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 1 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 0 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 0 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 0 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 1 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 1 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 0 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 0 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 2 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 2 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 1 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 3 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 1 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 1 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 0 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 0 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 0 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 1 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 1 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 0 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 1 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 1 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 1 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 3 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 2 ([(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) => 2 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 1 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 1 ([(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) => 6 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 1 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 1 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 6 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 2 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 1 ([(2,6),(3,6),(4,5),(5,6)],7) => 2 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 1 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 2 ([(1,6),(2,6),(3,4),(4,5)],7) => 3 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 1 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 1 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 2 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 3 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 1 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 1 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 1 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 1 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 2 ([(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) => 1 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 1 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 2 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 1 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 3 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 2 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 3 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 6 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 0 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 0 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 1 ([(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) => 3 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 3 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 1 ([(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) => 2 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 0 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 1 ([(1,6),(2,6),(3,5),(4,5)],7) => 7 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 1 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 1 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 1 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 2 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 2 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 3 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 1 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 3 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 3 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 7 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 7 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 1 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 1 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 2 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1 ([(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) => 2 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 2 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 2 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 1 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 2 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 2 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 7 ([(0,6),(1,6),(2,5),(3,4)],7) => 3 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 1 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 3 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 1 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 1 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 3 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 1 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 1 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 2 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 3 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 1 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 2 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 1 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 1 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 3 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 0 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 0 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 1 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 1 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 1 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 2 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 1 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 1 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 1 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 0 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 3 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 7 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 6 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4 ([(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) => 9 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 1 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 1 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 2 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 3 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 3 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 2 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 4 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 3 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 1 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 2 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 0 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 1 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 1 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 3 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 2 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 1 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 1 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 1 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 0 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 1 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 1 ([(3,6),(4,5)],7) => 5 ([(3,6),(4,5),(4,6)],7) => 3 ([(2,6),(3,4),(3,6),(4,5)],7) => 1 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 3 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 4 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 1 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 1 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 0 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 0 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 1 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 0 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 1 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 1 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 0 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 1 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 0 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 3 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 3 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 1 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 0 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 0 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 0 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 0 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 0 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 0 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 2 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 0 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 1 ([(3,5),(3,6),(4,5),(4,6)],7) => 5 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 4 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 3 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 1 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 5 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 1 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 0 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 1 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 0 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 1 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 2 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 1 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 1 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 1 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 1 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 2 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 1 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 1 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 1 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 1 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 1 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 2 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 1 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 1 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 1 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 1 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 1 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 1 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 1 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 1 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 1 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 1 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 1 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 1 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 2 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 3 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 1 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 2 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 3 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 1 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 1 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 2 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 1 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 2 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 0 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 1 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 1 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 1 ([(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) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 1 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 2 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 1 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 2 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 1 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 0 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 4 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 2 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 4 ([(2,6),(3,4),(3,6),(6,5)],7) => 1 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 1 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 3 ([(2,6),(3,4),(3,5)],7) => 2 ([(2,6),(3,4),(3,5),(3,6)],7) => 2 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 0 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 1 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 0 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 1 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 0 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 0 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 0 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 0 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 1 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 1 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 1 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 3 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 1 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 1 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 2 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 0 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 0 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 0 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 2 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 1 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 0 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 2 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 1 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 2 ([(1,6),(2,3),(2,4),(2,5)],7) => 3 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 3 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 1 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 1 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 1 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 1 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 3 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 3 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 3 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 6 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 6 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 3 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 1 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 2 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 1 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 3 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 3 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 6 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 3 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 2 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 3 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 6 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 3 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 2 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 1 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 1 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 0 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 0 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 3 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 1 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 3 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 1 ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 3 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 1 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 1 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 1 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 1 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 0 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 0 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 1 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 0 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 0 ----------------------------------------------------------------------------- Created: Jun 16, 2017 at 06:25 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jul 17, 2017 at 07:30 by Martin Rubey