************************************************************************ * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2013 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. * ************************************************************************ ------------------------------------------------------------------------ Map identifier: Mp00206 ------------------------------------------------------------------------ Map name: antichains of maximal size ------------------------------------------------------------------------ Domain: Posets ------------------------------------------------------------------------ Codomain: Lattices ------------------------------------------------------------------------ Description: The lattice of antichains of maximal size in a poset. The set of antichains of maximal size can be ordered by setting $A \leq B \leftrightarrow \mathop{\downarrow} A \subseteq \mathop{\downarrow} B$, where $\mathop{\downarrow} A$ is the order ideal generated by $A$. This is a sublattice of the lattice of all antichains with respect to the same order relation. In particular, it is distributive. ------------------------------------------------------------------------ References: [1] Freese, R. An application of Dilworth's lattice of maximal antichains [[MathSciNet:0332584]] ------------------------------------------------------------------------ Code: def mapping(P): A = [tuple(sorted(X)) for X in P.maximal_antichains()] if A: m = max(len(X) for X in A) A = [X for X in A if len(X) == m] if len(A) > 20: raise ValueError("Poset has too many maximum sized antichains for this map") return LatticePoset([A, lambda X, Y: all(any(P.le(x, y) for y in Y) for x in X)]) ------------------------------------------------------------------------ Map images: ([],1) => ([],1) ([],2) => ([],1) ([(0,1)],2) => ([(0,1)],2) ([],3) => ([],1) ([(1,2)],3) => ([(0,1)],2) ([(0,1),(0,2)],3) => ([],1) ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3) ([(0,2),(1,2)],3) => ([],1) ([],4) => ([],1) ([(2,3)],4) => ([(0,1)],2) ([(1,2),(1,3)],4) => ([],1) ([(0,1),(0,2),(0,3)],4) => ([],1) ([(0,2),(0,3),(3,1)],4) => ([(0,1)],2) ([(0,1),(0,2),(1,3),(2,3)],4) => ([],1) ([(1,2),(2,3)],4) => ([(0,2),(2,1)],3) ([(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) => ([],1) ([(0,3),(1,2)],4) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,3),(1,2),(1,3)],4) => ([(0,2),(2,1)],3) ([(0,2),(0,3),(1,2),(1,3)],4) => ([(0,1)],2) ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4) ([(0,3),(1,2),(2,3)],4) => ([(0,1)],2) ([],5) => ([],1) ([(3,4)],5) => ([(0,1)],2) ([(2,3),(2,4)],5) => ([],1) ([(1,2),(1,3),(1,4)],5) => ([],1) ([(0,1),(0,2),(0,3),(0,4)],5) => ([],1) ([(0,2),(0,3),(0,4),(4,1)],5) => ([(0,1)],2) ([(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) => ([],1) ([(1,3),(1,4),(4,2)],5) => ([(0,1)],2) ([(0,3),(0,4),(4,1),(4,2)],5) => ([],1) ([(1,2),(1,3),(2,4),(3,4)],5) => ([],1) ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([],1) ([(0,3),(0,4),(3,2),(4,1)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => ([(0,2),(2,1)],3) ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) ([(2,3),(3,4)],5) => ([(0,2),(2,1)],3) ([(1,4),(4,2),(4,3)],5) => ([],1) ([(0,4),(4,1),(4,2),(4,3)],5) => ([],1) ([(2,4),(3,4)],5) => ([],1) ([(1,4),(2,4),(4,3)],5) => ([],1) ([(0,4),(1,4),(4,2),(4,3)],5) => ([(0,1)],2) ([(1,4),(2,4),(3,4)],5) => ([],1) ([(0,4),(1,4),(2,4),(4,3)],5) => ([],1) ([(0,4),(1,4),(2,4),(3,4)],5) => ([],1) ([(0,4),(1,4),(2,3)],5) => ([(0,1)],2) ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1) ([(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) => ([],1) ([(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) => ([(0,1)],2) ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,1)],2) ([(1,4),(2,3)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) ([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,2),(2,1)],3) ([(1,3),(1,4),(2,3),(2,4)],5) => ([(0,1)],2) ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => ([(0,2),(2,1)],3) ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => ([(0,1)],2) ([(0,4),(1,2),(1,4),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(1,2),(1,3)],5) => ([(0,1)],2) ([(0,4),(1,2),(1,3),(1,4)],5) => ([(0,1)],2) ([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,2),(2,1)],3) ([(0,4),(1,2),(1,3),(3,4)],5) => ([],1) ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => ([(0,1)],2) ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => ([],1) ([(0,3),(0,4),(1,2),(1,4)],5) => ([],1) ([(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) => ([],1) ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => ([(0,3),(2,1),(3,2)],4) ([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) ([(1,4),(3,2),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) ([(0,3),(3,4),(4,1),(4,2)],5) => ([],1) ([(1,4),(2,3),(3,4)],5) => ([(0,1)],2) ([(0,4),(1,2),(2,4),(4,3)],5) => ([(0,1)],2) ([(0,3),(1,4),(4,2)],5) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) ([(0,4),(3,2),(4,1),(4,3)],5) => ([(0,1)],2) ([(0,4),(1,2),(2,3),(2,4)],5) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,3),(1,2),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,2),(2,1)],3) ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([],1) ([],6) => ([],1) ([(4,5)],6) => ([(0,1)],2) ([(3,4),(3,5)],6) => ([],1) ([(2,3),(2,4),(2,5)],6) => ([],1) ([(1,2),(1,3),(1,4),(1,5)],6) => ([],1) ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => ([(0,1)],2) ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => ([],1) ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => ([],1) ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => ([],1) ([(1,3),(1,4),(1,5),(5,2)],6) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => ([],1) ([(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) => ([],1) ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => ([],1) ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => ([(0,1)],2) ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => ([],1) ([(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) => ([],1) ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => ([(0,1)],2) ([(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) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => ([(0,2),(2,1)],3) ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) ([(2,3),(2,4),(4,5)],6) => ([(0,1)],2) ([(1,4),(1,5),(5,2),(5,3)],6) => ([],1) ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => ([],1) ([(2,3),(2,4),(3,5),(4,5)],6) => ([],1) ([(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) => ([(0,1)],2) ([(1,4),(1,5),(4,3),(5,2)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,2),(2,1)],3) ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => ([(0,2),(2,1)],3) ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,1)],2) ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => ([(0,1)],2) ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => ([(0,1)],2) ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => ([],1) ([(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) => ([],1) ([(3,4),(4,5)],6) => ([(0,2),(2,1)],3) ([(2,3),(3,4),(3,5)],6) => ([],1) ([(1,5),(5,2),(5,3),(5,4)],6) => ([],1) ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => ([],1) ([(2,3),(3,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) ([(1,4),(4,5),(5,2),(5,3)],6) => ([],1) ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => ([],1) ([(3,5),(4,5)],6) => ([],1) ([(2,5),(3,5),(5,4)],6) => ([],1) ([(1,5),(2,5),(5,3),(5,4)],6) => ([(0,1)],2) ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => ([],1) ([(2,5),(3,5),(4,5)],6) => ([],1) ([(1,5),(2,5),(3,5),(5,4)],6) => ([],1) ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => ([],1) ([(1,5),(2,5),(3,5),(4,5)],6) => ([],1) ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => ([],1) ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([],1) ([(0,5),(1,5),(2,5),(3,4)],6) => ([(0,1)],2) ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => ([],1) ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => ([],1) ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) ([(1,5),(2,5),(3,4)],6) => ([(0,1)],2) ([(1,5),(2,4),(3,4),(3,5)],6) => ([],1) ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => ([],1) ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => ([],1) ([(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) => ([],1) ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([],1) ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([],1) ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([],1) ([(1,5),(2,5),(3,4),(5,3)],6) => ([],1) ([(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) => ([(0,1)],2) ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => ([(0,2),(2,1)],3) ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => ([],1) ([(1,5),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => ([(0,1)],2) ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,2),(2,1)],3) ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,1)],2) ([(0,5),(1,5),(2,3),(2,4)],6) => ([],1) ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => ([(0,1)],2) ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,1)],2) ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([],1) ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => ([],1) ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => ([(0,1)],2) ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => ([],1) ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(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) => ([(0,1)],2) ([(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) => ([],1) ([(1,5),(2,5),(3,4),(4,5)],6) => ([(0,1)],2) ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => ([(0,1)],2) ([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,2),(2,1)],3) ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => ([],1) ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,1)],2) ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => ([],1) ([(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) => ([(0,2),(2,1)],3) ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,2),(2,1)],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) => ([],1) ([(0,5),(1,5),(2,4),(3,4)],6) => ([],1) ([(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) => ([],1) ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => ([],1) ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([],1) ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => ([],1) ([(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) => ([(0,1)],2) ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([],1) ([(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) ([(1,5),(2,3),(2,5),(3,4)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => ([(0,1)],2) ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => ([(0,2),(2,1)],3) ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(2,4),(2,5),(3,4),(3,5)],6) => ([(0,1)],2) ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => ([],1) ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => ([(0,1)],2) ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => ([(0,2),(2,1)],3) ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,1)],2) ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,1)],2) ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(2,1)],3) ([(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) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,1)],2) ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,1)],2) ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,1)],2) ([(1,5),(2,3),(2,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => ([],1) ([(1,5),(2,3),(2,4)],6) => ([(0,1)],2) ([(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => ([(0,1)],2) ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => ([(0,1)],2) ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => ([(0,2),(2,1)],3) ([(0,5),(1,2),(1,3),(1,4)],6) => ([(0,1)],2) ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([(0,1)],2) ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => ([(0,2),(2,1)],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) => ([(0,1)],2) ([(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) => ([(0,1)],2) ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([],1) ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => ([(0,2),(2,1)],3) ([(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) => ([],1) ([(1,3),(1,5),(4,2),(5,4)],6) => ([(0,2),(2,1)],3) ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => ([],1) ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(2,1)],3) ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) ([(1,5),(2,3),(2,4),(4,5)],6) => ([],1) ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => ([],1) ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,1)],2) ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => ([(0,1)],2) ([(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) => ([(0,1)],2) ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([],1) ([(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) => ([],1) ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => ([],1) ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,1)],2) ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => ([(0,1)],2) ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => ([(0,2),(2,1)],3) ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => ([(0,1)],2) ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => ([(0,2),(2,1)],3) ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,1)],2) ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => ([(0,1)],2) ([(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) => ([],1) ([(1,4),(1,5),(2,3),(2,5)],6) => ([],1) ([(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) => ([(0,1)],2) ([(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) => ([],1) ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => ([],1) ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => ([],1) ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => ([(0,1)],2) ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => ([],1) ([(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) => ([(0,1)],2) ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => ([(0,1)],2) ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => ([],1) ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => ([],1) ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => ([],1) ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => ([],1) ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) ([(0,4),(0,5),(1,2),(1,3)],6) => ([],1) ([(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) => ([],1) ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => ([],1) ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => ([],1) ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => ([(0,1)],2) ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => ([(0,1)],2) ([(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) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => ([(0,1)],2) ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => ([(0,2),(2,1)],3) ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => ([(0,1)],2) ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => ([],1) ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([],1) ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => ([],1) ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) ([(1,4),(2,3),(2,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,2),(2,1)],3) ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) ([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,2),(2,1)],3) ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => ([],1) ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => ([],1) ([(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) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(2,5),(3,4),(4,5)],6) => ([(0,1)],2) ([(1,5),(2,3),(3,5),(5,4)],6) => ([(0,1)],2) ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => ([(0,2),(2,1)],3) ([(1,3),(2,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) ([(1,5),(4,3),(5,2),(5,4)],6) => ([(0,1)],2) ([(1,5),(2,3),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,4),(1,5),(5,2),(5,3)],6) => ([(0,1)],2) ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => ([(0,1)],2) ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => ([(0,1)],2) ([(1,5),(3,4),(4,2),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => ([],1) ([(1,4),(2,3),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => ([(0,2),(2,1)],3) ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) ([(1,5),(2,3),(3,4),(4,5)],6) => ([(0,2),(2,1)],3) ([(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) => ([(0,2),(2,1)],3) ([(0,5),(1,4),(2,3)],6) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,2),(2,1)],3) ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,2),(2,1)],3) ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => ([(0,1)],2) ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,1)],2) ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => ([],1) ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,2),(2,1)],3) ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,1)],2) ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,1)],2) ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,1)],2) ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => ([(0,1)],2) ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => ([(0,2),(2,1)],3) ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => ([(0,1)],2) ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => ([(0,1)],2) ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => ([(0,1)],2) ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => ([(0,1)],2) ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) ([(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) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => ([(0,1)],2) ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) ([],7) => ([],1) ([(5,6)],7) => ([(0,1)],2) ([(4,5),(4,6)],7) => ([],1) ([(3,4),(3,5),(3,6)],7) => ([],1) ([(2,3),(2,4),(2,5),(2,6)],7) => ([],1) ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([],1) ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => ([(0,1)],2) ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => ([],1) ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => ([],1) ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => ([],1) ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([],1) ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => ([],1) ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => ([],1) ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([],1) ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,1)],2) ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => ([(0,1)],2) ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => ([(0,1)],2) ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => ([],1) ([(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) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => ([(0,1)],2) ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => ([],1) ([(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) => ([],1) ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(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) => ([],1) ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([],1) ([(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) => ([],1) ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => ([(0,2),(2,1)],3) ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(2,4),(2,5),(2,6),(6,3)],7) => ([(0,1)],2) ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => ([],1) ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => ([],1) ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([],1) ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([],1) ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([],1) ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => ([],1) ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,1)],2) ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([],1) ([(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) => ([],1) ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([],1) ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([],1) ([(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) => ([],1) ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([],1) ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => ([],1) ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => ([],1) ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => ([],1) ([(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) => ([(0,1)],2) ([(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) => ([(0,1)],2) ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,2),(2,1)],3) ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,2),(2,1)],3) ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) ([(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) => ([(0,1)],2) ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,2),(2,1)],3) ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => ([],1) ([(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) => ([],1) ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([(0,1)],2) ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],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) => ([(0,1)],2) ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([],1) ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) ([(3,4),(3,5),(5,6)],7) => ([(0,1)],2) ([(2,5),(2,6),(6,3),(6,4)],7) => ([],1) ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => ([],1) ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => ([],1) ([(3,4),(3,5),(4,6),(5,6)],7) => ([],1) ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([],1) ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => ([(0,1)],2) ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => ([],1) ([(2,5),(2,6),(5,4),(6,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,2),(2,1)],3) ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => ([],1) ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,1)],2) ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => ([(0,1)],2) ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(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) => ([(0,1)],2) ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,1)],2) ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(0,1)],2) ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => ([(0,1)],2) ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([],1) ([(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) => ([],1) ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => ([(0,1)],2) ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([],1) ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([],1) ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => ([(0,1)],2) ([(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) => ([(0,1)],2) ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => ([],1) ([(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) => ([],1) ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([],1) ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => ([],1) ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([],1) ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,1)],2) ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => ([(0,1)],2) ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) ([(4,5),(5,6)],7) => ([(0,2),(2,1)],3) ([(3,4),(4,5),(4,6)],7) => ([],1) ([(2,6),(6,3),(6,4),(6,5)],7) => ([],1) ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => ([],1) ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => ([],1) ([(3,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) ([(2,5),(5,6),(6,3),(6,4)],7) => ([],1) ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => ([],1) ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => ([],1) ([(4,6),(5,6)],7) => ([],1) ([(3,6),(4,6),(6,5)],7) => ([],1) ([(2,6),(3,6),(6,4),(6,5)],7) => ([(0,1)],2) ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => ([],1) ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => ([],1) ([(3,6),(4,6),(5,6)],7) => ([],1) ([(2,6),(3,6),(4,6),(6,5)],7) => ([],1) ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => ([(0,1)],2) ([(2,6),(3,6),(4,6),(5,6)],7) => ([],1) ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => ([],1) ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1)],2) ([(1,6),(2,6),(3,6),(4,5)],7) => ([(0,1)],2) ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([],1) ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => ([],1) ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([],1) ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => ([],1) ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => ([],1) ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([],1) ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([],1) ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([],1) ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => ([(0,1)],2) ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([],1) ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([],1) ([(2,6),(3,6),(4,5)],7) => ([(0,1)],2) ([(2,6),(3,5),(4,5),(4,6)],7) => ([],1) ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => ([],1) ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([],1) ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([],1) ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => ([],1) ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([],1) ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([],1) ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(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) => ([(0,2),(2,1)],3) ([(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) => ([],1) ([(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) => ([],1) ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,1)],2) ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => ([],1) ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,1)],2) ([(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) => ([(0,1)],2) ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1)],2) ([(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) => ([(0,1)],2) ([(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) => ([(0,1)],2) ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1)],2) ([(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) => ([(0,1)],2) ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => ([(0,1)],2) ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => ([],1) ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => ([],1) ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => ([],1) ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([],1) ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([],1) ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1)],2) ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([],1) ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(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) => ([],1) ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => ([],1) ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,1)],2) ([(2,6),(3,6),(4,5),(6,4)],7) => ([],1) ([(2,6),(3,5),(4,5),(5,6)],7) => ([],1) ([(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) => ([],1) ([(1,6),(2,6),(3,4),(6,5)],7) => ([(0,1)],2) ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) ([(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) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) ([(2,6),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([],1) ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) ([(1,6),(2,6),(3,4),(3,5)],7) => ([],1) ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => ([(0,1)],2) ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,1)],2) ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(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) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => ([],1) ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,1)],2) ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,1)],2) ([(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) => ([],1) ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([],1) ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => ([],1) ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => ([],1) ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => ([],1) ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([],1) ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => ([],1) ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([],1) ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,1)],2) ([(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) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([],1) ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => ([],1) ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([],1) ([(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) => ([],1) ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => ([(0,2),(2,1)],3) ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => ([],1) ([(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) => ([],1) ([(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) => ([(0,1)],2) ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => ([(0,1)],2) ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => ([(0,1)],2) ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,1)],2) ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => ([],1) ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => ([],1) ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => ([(0,1)],2) ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => ([],1) ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => ([(0,1)],2) ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => ([(0,1)],2) ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => ([(0,1)],2) ([(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) => ([],1) ([(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) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,1)],2) ([(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) => ([],1) ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => ([],1) ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => ([(0,1)],2) ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => ([],1) ([(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) => ([],1) ([(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) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => ([],1) ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(0,1)],2) ([(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) => ([],1) ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => ([(0,1)],2) ([(2,6),(3,6),(4,5),(5,6)],7) => ([(0,1)],2) ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,1)],2) ([(1,6),(2,6),(3,4),(4,5)],7) => ([(0,2),(2,1)],3) ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([],1) ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => ([(0,1)],2) ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => ([],1) ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => ([(0,1)],2) ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => ([(0,2),(2,1)],3) ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],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) => ([],1) ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(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) => ([],1) ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => ([],1) ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => ([],1) ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => ([],1) ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) ([(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) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(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) => ([(0,2),(2,1)],3) ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => ([],1) ([(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) => ([(0,3),(2,1),(3,2)],4) ([(1,6),(2,6),(3,5),(4,5)],7) => ([],1) ([(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) => ([],1) ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([],1) ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => ([],1) ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([],1) ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(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) => ([],1) ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => ([],1) ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([],1) ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([],1) ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([],1) ([(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) => ([(0,1)],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) => ([(0,1)],2) ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([],1) ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([],1) ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => ([],1) ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => ([(0,1)],2) ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => ([],1) ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => ([],1) ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => ([],1) ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => ([(0,1)],2) ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(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) => ([(0,1)],2) ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => ([],1) ([(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) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => ([(0,1)],2) ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) ([(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) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => ([],1) ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => ([],1) ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => ([],1) ([(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) => ([(0,1)],2) ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(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) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(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) => ([(0,2),(2,1)],3) ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,1)],2) ([(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) => ([],1) ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(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) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => ([],1) ([(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) => ([],1) ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([],1) ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(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) => ([],1) ([(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) => ([],1) ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => ([],1) ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => ([],1) ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,1)],2) ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => ([],1) ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(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) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => ([],1) ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => ([(0,2),(2,1)],3) ([(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) => ([(0,1)],2) ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,1)],2) ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(0,1)],2) ([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) ([(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,1)],2) ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => ([(0,1)],2) ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) ([(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) => ([],1) ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => ([],1) ([(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) => ([(0,2),(2,1)],3) ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => ([(0,1)],2) ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => ([(0,1)],2) ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => ([(0,1)],2) ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) ([(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => ([],1) ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1)],2) ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(0,1)],2) ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => ([],1) ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,2),(2,1)],3) ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,2),(2,1)],3) ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,1)],2) ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,2),(2,1)],3) ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => ([(0,1)],2) ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,1)],2) ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => ([(0,1)],2) ([(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) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => ([(0,1)],2) ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(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) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => ([(0,1)],2) ([(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) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,1)],2) ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1)],2) ([(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) => ([],1) ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => ([(0,2),(2,1)],3) ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => ([(0,1)],2) ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) ([(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) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([],1) ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,1)],2) ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => ([],1) ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => ([(0,1)],2) ([(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) => ([],1) ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([],1) ([(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) => ([],1) ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => ([(0,1)],2) ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => ([(0,1)],2) ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => ([(0,1)],2) ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => ([(0,1)],2) ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([],1) ([(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) => ([(0,2),(2,1)],3) ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => ([],1) ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => ([],1) ([(2,6),(3,4),(3,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) ([(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) => ([],1) ([(2,6),(3,4),(3,5)],7) => ([(0,1)],2) ([(2,6),(3,4),(3,5),(3,6)],7) => ([(0,1)],2) ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => ([(0,1)],2) ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => ([(0,1)],2) ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,1)],2) ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => ([(0,1)],2) ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => ([(0,2),(2,1)],3) ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => ([(0,2),(2,1)],3) ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => ([(0,1)],2) ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => ([(0,1)],2) ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => ([(0,1)],2) ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,1)],2) ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1)],2) ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => ([(0,1)],2) ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => ([],1) ([(1,6),(2,3),(2,4),(2,5)],7) => ([(0,1)],2) ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1)],2) ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => ([(0,1)],2) ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => ([(0,1)],2) ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => ([(0,1)],2) ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1)],2) ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => ([(0,1)],2) ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => ([(0,1)],2) ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => ([(0,1)],2) ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => ([(0,1)],2) ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => ([],1) ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => ([(0,1)],2) ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => ([],1) ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => ([(0,2),(2,1)],3) ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => ([],1) ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => ([],1) ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([],1) ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => ([(0,2),(2,1)],3) ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => ([],1) ([(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) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => ([(0,1)],2) ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([],1) ([(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) => ([(0,1)],2) ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => ([(0,1)],2) ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([],1) ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => ([],1) ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,1)],2) ([(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) => ([(0,1)],2) ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => ([(0,1)],2) ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => ([],1) ([(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) => ([(0,1)],2) ----------------------------------------------------------------------------- Created: Jan 27, 2021 at 09:19 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jan 28, 2021 at 17:46 by Christian Stump