***************************************************************************** * 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: St000641 ----------------------------------------------------------------------------- Collection: Posets ----------------------------------------------------------------------------- Description: The number of non-empty boolean intervals in a poset. ----------------------------------------------------------------------------- References: [1] Samuel, M. Number of Boolean algebra subintervals in weak order of $S_n$ [[MathOverflow:253773]] ----------------------------------------------------------------------------- Code: def statistic(P): l = [P.subposet(P.interval(a,b)) for a,b in P.relations()] count = 0 for Q in l: try: Q = LatticePoset(Q) except ValueError: continue else: try: k = ZZ(log_b(Q.cardinality(), 2)) except TypeError: continue else: if Q.is_isomorphic(posets.BooleanLattice(k)): count += 1 return count ----------------------------------------------------------------------------- Statistic values: ([],2) => 2 ([(0,1)],2) => 3 ([],3) => 3 ([(1,2)],3) => 4 ([(0,1),(0,2)],3) => 5 ([(0,2),(2,1)],3) => 5 ([(0,2),(1,2)],3) => 5 ([],4) => 4 ([(2,3)],4) => 5 ([(1,2),(1,3)],4) => 6 ([(0,1),(0,2),(0,3)],4) => 7 ([(0,2),(0,3),(3,1)],4) => 7 ([(0,1),(0,2),(1,3),(2,3)],4) => 9 ([(1,2),(2,3)],4) => 6 ([(0,3),(3,1),(3,2)],4) => 7 ([(1,3),(2,3)],4) => 6 ([(0,3),(1,3),(3,2)],4) => 7 ([(0,3),(1,3),(2,3)],4) => 7 ([(0,3),(1,2)],4) => 6 ([(0,3),(1,2),(1,3)],4) => 7 ([(0,2),(0,3),(1,2),(1,3)],4) => 8 ([(0,3),(2,1),(3,2)],4) => 7 ([(0,3),(1,2),(2,3)],4) => 7 ([],5) => 5 ([(3,4)],5) => 6 ([(2,3),(2,4)],5) => 7 ([(1,2),(1,3),(1,4)],5) => 8 ([(0,1),(0,2),(0,3),(0,4)],5) => 9 ([(0,2),(0,3),(0,4),(4,1)],5) => 9 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 11 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 11 ([(1,3),(1,4),(4,2)],5) => 8 ([(0,3),(0,4),(4,1),(4,2)],5) => 9 ([(1,2),(1,3),(2,4),(3,4)],5) => 10 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 11 ([(0,3),(0,4),(3,2),(4,1)],5) => 9 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 11 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 13 ([(2,3),(3,4)],5) => 7 ([(1,4),(4,2),(4,3)],5) => 8 ([(0,4),(4,1),(4,2),(4,3)],5) => 9 ([(2,4),(3,4)],5) => 7 ([(1,4),(2,4),(4,3)],5) => 8 ([(0,4),(1,4),(4,2),(4,3)],5) => 9 ([(1,4),(2,4),(3,4)],5) => 8 ([(0,4),(1,4),(2,4),(4,3)],5) => 9 ([(0,4),(1,4),(2,4),(3,4)],5) => 9 ([(0,4),(1,4),(2,3)],5) => 8 ([(0,4),(1,3),(2,3),(2,4)],5) => 9 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 10 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 11 ([(0,4),(1,4),(2,3),(4,2)],5) => 9 ([(0,4),(1,3),(2,3),(3,4)],5) => 9 ([(0,4),(1,4),(2,3),(2,4)],5) => 9 ([(0,4),(1,4),(2,3),(3,4)],5) => 9 ([(1,4),(2,3)],5) => 7 ([(1,4),(2,3),(2,4)],5) => 8 ([(0,4),(1,2),(1,4),(2,3)],5) => 9 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 11 ([(1,3),(1,4),(2,3),(2,4)],5) => 9 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 10 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 13 ([(0,4),(1,2),(1,4),(4,3)],5) => 9 ([(0,4),(1,2),(1,3)],5) => 8 ([(0,4),(1,2),(1,3),(1,4)],5) => 9 ([(0,2),(0,4),(3,1),(4,3)],5) => 9 ([(0,4),(1,2),(1,3),(3,4)],5) => 9 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 10 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 11 ([(0,3),(0,4),(1,2),(1,4)],5) => 9 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 10 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 11 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 10 ([(0,3),(1,2),(1,4),(3,4)],5) => 9 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 10 ([(1,4),(3,2),(4,3)],5) => 8 ([(0,3),(3,4),(4,1),(4,2)],5) => 9 ([(1,4),(2,3),(3,4)],5) => 8 ([(0,4),(1,2),(2,4),(4,3)],5) => 9 ([(0,3),(1,4),(4,2)],5) => 8 ([(0,4),(3,2),(4,1),(4,3)],5) => 9 ([(0,4),(1,2),(2,3),(2,4)],5) => 9 ([(0,4),(2,3),(3,1),(4,2)],5) => 9 ([(0,3),(1,2),(2,4),(3,4)],5) => 9 ([(0,4),(1,2),(2,3),(3,4)],5) => 9 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 11 ([],6) => 6 ([(4,5)],6) => 7 ([(3,4),(3,5)],6) => 8 ([(2,3),(2,4),(2,5)],6) => 9 ([(1,2),(1,3),(1,4),(1,5)],6) => 10 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 11 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 11 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 13 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 13 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 14 ([(1,3),(1,4),(1,5),(5,2)],6) => 10 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 11 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 12 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 12 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 13 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 13 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 15 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 15 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 15 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 13 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 14 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 13 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 11 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 13 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 15 ([(2,3),(2,4),(4,5)],6) => 9 ([(1,4),(1,5),(5,2),(5,3)],6) => 10 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 11 ([(2,3),(2,4),(3,5),(4,5)],6) => 11 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 12 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 13 ([(1,4),(1,5),(4,3),(5,2)],6) => 10 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 12 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 14 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 15 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 18 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 13 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 11 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 13 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 13 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 15 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 17 ([(3,4),(4,5)],6) => 8 ([(2,3),(3,4),(3,5)],6) => 9 ([(1,5),(5,2),(5,3),(5,4)],6) => 10 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 11 ([(2,3),(3,5),(5,4)],6) => 9 ([(1,4),(4,5),(5,2),(5,3)],6) => 10 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 11 ([(3,5),(4,5)],6) => 8 ([(2,5),(3,5),(5,4)],6) => 9 ([(1,5),(2,5),(5,3),(5,4)],6) => 10 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 11 ([(2,5),(3,5),(4,5)],6) => 9 ([(1,5),(2,5),(3,5),(5,4)],6) => 10 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 11 ([(1,5),(2,5),(3,5),(4,5)],6) => 10 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 11 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 11 ([(0,5),(1,5),(2,5),(3,4)],6) => 10 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 11 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 11 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 11 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 11 ([(1,5),(2,5),(3,4)],6) => 9 ([(1,5),(2,4),(3,4),(3,5)],6) => 10 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 11 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 13 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 11 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 12 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 15 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 13 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 17 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 12 ([(1,5),(2,5),(3,4),(5,3)],6) => 10 ([(1,5),(2,4),(3,4),(4,5)],6) => 10 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 11 ([(0,5),(1,5),(2,3),(5,4)],6) => 10 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 11 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 11 ([(1,5),(2,5),(3,4),(3,5)],6) => 10 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 11 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 11 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 13 ([(0,5),(1,5),(2,3),(2,4)],6) => 10 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 11 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 11 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 11 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 11 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 13 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 12 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 11 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 12 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 14 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 13 ([(1,5),(2,5),(3,4),(4,5)],6) => 10 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 11 ([(0,5),(1,5),(2,3),(3,4)],6) => 10 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 11 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 11 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 11 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 13 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 11 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 11 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 13 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 13 ([(0,5),(1,5),(2,4),(3,4)],6) => 10 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 11 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 13 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 14 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 11 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 13 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 11 ([(2,5),(3,4)],6) => 8 ([(2,5),(3,4),(3,5)],6) => 9 ([(1,5),(2,3),(2,5),(3,4)],6) => 10 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 11 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 13 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 15 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 12 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 13 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 11 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 13 ([(2,4),(2,5),(3,4),(3,5)],6) => 10 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 11 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 12 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 14 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 12 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 15 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 18 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 11 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 12 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 13 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 12 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 12 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 13 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 13 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 13 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 13 ([(1,5),(2,3),(2,5),(5,4)],6) => 10 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 11 ([(1,5),(2,3),(2,4)],6) => 9 ([(1,5),(2,3),(2,4),(2,5)],6) => 10 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 11 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 13 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 13 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 13 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 11 ([(0,5),(1,2),(1,3),(1,4)],6) => 10 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 11 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 11 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 11 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 12 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 13 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 13 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 13 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 11 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 12 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 13 ([(1,3),(1,5),(4,2),(5,4)],6) => 10 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 11 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 11 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 13 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 15 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 12 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 14 ([(1,5),(2,3),(2,4),(4,5)],6) => 10 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 11 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 11 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 12 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 12 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 13 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 11 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 13 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 15 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 12 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 12 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 13 ([(0,4),(1,3),(1,5),(5,2)],6) => 10 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 11 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 11 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 11 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 12 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 12 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 13 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 13 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 13 ([(1,4),(1,5),(2,3),(2,5)],6) => 10 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 11 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 12 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 15 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 13 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 15 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 12 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 14 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 15 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 11 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 11 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 12 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 12 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 14 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 11 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 13 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 12 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 14 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 12 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 15 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 12 ([(0,4),(0,5),(1,2),(1,3)],6) => 10 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 11 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 12 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 12 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 14 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 12 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 13 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 14 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 13 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 12 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 13 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 11 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 12 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 13 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 12 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 13 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 12 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 14 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 12 ([(1,4),(2,3),(2,5),(4,5)],6) => 10 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 11 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 11 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 12 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 15 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 11 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 13 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 12 ([(0,5),(1,3),(1,4),(5,2)],6) => 10 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 11 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 11 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 11 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 12 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 12 ([(2,5),(3,4),(4,5)],6) => 9 ([(1,5),(2,3),(3,5),(5,4)],6) => 10 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 11 ([(1,3),(2,4),(4,5)],6) => 9 ([(1,5),(4,3),(5,2),(5,4)],6) => 10 ([(1,5),(2,3),(3,4),(3,5)],6) => 10 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 11 ([(0,4),(1,5),(5,2),(5,3)],6) => 10 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 11 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 11 ([(1,5),(3,4),(4,2),(5,3)],6) => 10 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 11 ([(1,4),(2,3),(3,5),(4,5)],6) => 10 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 11 ([(0,5),(1,4),(4,2),(5,3)],6) => 10 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 11 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 11 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(1,5),(2,3),(3,4),(4,5)],6) => 10 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 12 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 13 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 11 ([(0,5),(1,4),(2,3)],6) => 9 ([(0,5),(1,3),(2,4),(2,5)],6) => 10 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 11 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 11 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 12 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 11 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 12 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 13 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 11 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 11 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 11 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 13 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 12 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 13 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 14 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 15 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 12 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 12 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 11 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 12 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 11 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 12 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 11 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 12 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 15 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 13 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 11 ([(0,5),(1,3),(4,2),(5,4)],6) => 10 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 11 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 11 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 13 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 11 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 11 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 11 ([(0,5),(1,3),(2,4),(4,5)],6) => 10 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 11 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 11 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 11 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 11 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 13 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 11 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 12 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 11 ([],7) => 7 ([(5,6)],7) => 8 ([(4,5),(4,6)],7) => 9 ([(3,4),(3,5),(3,6)],7) => 10 ([(2,3),(2,4),(2,5),(2,6)],7) => 11 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 13 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 17 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 12 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 13 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 14 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 14 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 15 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 16 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 15 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 16 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 16 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 15 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 15 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 17 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 15 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 17 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 17 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 18 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 18 ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 19 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 17 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 16 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 15 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 13 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 15 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(2,4),(2,5),(2,6),(6,3)],7) => 11 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 12 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 13 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 13 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 13 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 14 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 15 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 14 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 16 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 17 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 21 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 17 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 20 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 17 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 17 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 19 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 14 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 15 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 15 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 15 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 16 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 15 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 16 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 15 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 16 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 14 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 15 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 12 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 14 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 16 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 17 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 17 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 17 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 18 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 18 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 21 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 17 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 20 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 15 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 13 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 15 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 15 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 17 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 19 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 13 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 15 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 17 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 17 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 19 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 19 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 19 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 19 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 19 ([(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) => 19 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 17 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 18 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 15 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 16 ([(3,4),(3,5),(5,6)],7) => 10 ([(2,5),(2,6),(6,3),(6,4)],7) => 11 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 12 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 13 ([(3,4),(3,5),(4,6),(5,6)],7) => 12 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 13 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 14 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 15 ([(2,5),(2,6),(5,4),(6,3)],7) => 11 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 13 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 15 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 16 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 17 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 19 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 20 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 17 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 20 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 23 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 14 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 15 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 12 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 14 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 15 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 13 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 15 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 14 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 16 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 18 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 19 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 22 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 21 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 17 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 20 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 15 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 13 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 15 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 17 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 17 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 19 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 21 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 12 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 13 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 14 ([(4,5),(5,6)],7) => 9 ([(3,4),(4,5),(4,6)],7) => 10 ([(2,6),(6,3),(6,4),(6,5)],7) => 11 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 12 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 13 ([(3,4),(4,6),(6,5)],7) => 10 ([(2,5),(5,6),(6,3),(6,4)],7) => 11 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 12 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 13 ([(4,6),(5,6)],7) => 9 ([(3,6),(4,6),(6,5)],7) => 10 ([(2,6),(3,6),(6,4),(6,5)],7) => 11 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 12 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 13 ([(3,6),(4,6),(5,6)],7) => 10 ([(2,6),(3,6),(4,6),(6,5)],7) => 11 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 12 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 13 ([(2,6),(3,6),(4,6),(5,6)],7) => 11 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 12 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 13 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 12 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 13 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 13 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 12 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 13 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 13 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 13 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 13 ([(1,6),(2,6),(3,6),(4,5)],7) => 11 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 12 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 12 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 12 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 13 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 13 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 12 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 13 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 13 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 15 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 12 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 13 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 13 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 14 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 13 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 13 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 15 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 12 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 13 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 12 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 13 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 13 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 13 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 13 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 13 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 15 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 15 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 13 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 12 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 13 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 14 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 13 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 15 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 13 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 13 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 13 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 15 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 15 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 13 ([(2,6),(3,6),(4,5)],7) => 10 ([(2,6),(3,5),(4,5),(4,6)],7) => 11 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 12 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 13 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 14 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 15 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 13 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 15 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 17 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 12 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 13 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 17 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 20 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 16 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 14 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 17 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 15 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 19 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 23 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 19 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 16 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 19 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 16 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 13 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 13 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 14 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 17 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 15 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 14 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 15 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 17 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 14 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 14 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 14 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 15 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 14 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 12 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 13 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 13 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 13 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 14 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 15 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 13 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 14 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 15 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 16 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 15 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 14 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 14 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 13 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 14 ([(2,6),(3,6),(4,5),(6,4)],7) => 11 ([(2,6),(3,5),(4,5),(5,6)],7) => 11 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 12 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 13 ([(1,6),(2,6),(3,4),(6,5)],7) => 11 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 12 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 12 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 13 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 12 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 13 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 13 ([(2,6),(3,6),(4,5),(4,6)],7) => 11 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 12 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 13 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 12 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 14 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 13 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 15 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 13 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 15 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 17 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 13 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 15 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 14 ([(1,6),(2,6),(3,4),(3,5)],7) => 11 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 12 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 12 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 13 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 14 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 13 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 12 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 13 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 13 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 14 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 12 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 13 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 13 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 15 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 12 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 13 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 13 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 14 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 13 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 13 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 15 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 14 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 13 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 14 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 16 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 15 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 15 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 17 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 15 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 12 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 13 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 14 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 12 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 13 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 13 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 14 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 15 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 17 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 13 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 13 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 13 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 13 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 14 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 14 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 16 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 18 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 16 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 14 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 16 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 19 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 15 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 16 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 17 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 17 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 15 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 17 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 16 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 13 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 14 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 14 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 16 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 14 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 16 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 16 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 14 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 15 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 15 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 17 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 15 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 13 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 15 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 15 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 14 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 16 ([(2,6),(3,6),(4,5),(5,6)],7) => 11 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 12 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 13 ([(1,6),(2,6),(3,4),(4,5)],7) => 11 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 12 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 12 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 13 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 12 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 13 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 13 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 12 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 13 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 13 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 15 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 12 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 13 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 13 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 14 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 13 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 15 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 13 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 13 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 15 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 15 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 15 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 15 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 16 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 12 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 13 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 14 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 15 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 12 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 13 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 12 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 13 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 13 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 13 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 15 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 13 ([(1,6),(2,6),(3,5),(4,5)],7) => 11 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 12 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 13 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 15 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 14 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 17 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 14 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 13 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 14 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 17 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 19 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 15 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 21 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 13 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 12 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 14 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 13 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 15 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 12 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 13 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 12 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 13 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 15 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 13 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 13 ([(0,6),(1,6),(2,5),(3,4)],7) => 11 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 12 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 13 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 13 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 12 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 13 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 13 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 13 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 12 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 13 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 13 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 13 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 14 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 15 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 13 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 14 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 13 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 14 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 14 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 13 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 13 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 14 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 12 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 13 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 15 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 14 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 14 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 13 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 13 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 14 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 13 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 15 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 14 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 13 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 13 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 13 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 14 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 16 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 15 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 13 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 15 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 16 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 17 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 16 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 17 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 18 ([(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) => 19 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 15 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 15 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 14 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 17 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 15 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 14 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 15 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 16 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 19 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 23 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 14 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 15 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 17 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 17 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 13 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 15 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 13 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 12 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 13 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 13 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 13 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 12 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 13 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 13 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 14 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 15 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 13 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 13 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 13 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 15 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 13 ([(3,6),(4,5)],7) => 9 ([(3,6),(4,5),(4,6)],7) => 10 ([(2,6),(3,4),(3,6),(4,5)],7) => 11 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 12 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 13 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 15 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 17 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 19 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 14 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 16 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 15 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 13 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 15 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 17 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 13 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 14 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 15 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 12 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 14 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 13 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 15 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 12 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 13 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 14 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 13 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 15 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 14 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 13 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 14 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 15 ([(3,5),(3,6),(4,5),(4,6)],7) => 11 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 12 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 14 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 15 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 16 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 13 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 16 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 19 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 23 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 12 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 13 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 14 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 17 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 16 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 17 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 15 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 18 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 17 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 18 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 15 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 14 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 15 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 13 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 14 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 16 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 17 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 14 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 17 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 14 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 15 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 14 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 16 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 17 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 20 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 14 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 14 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 15 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 15 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 15 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 18 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 19 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 17 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 19 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 16 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 19 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 16 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 14 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 17 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 15 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 18 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 21 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 15 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 17 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 14 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 17 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 15 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 16 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 19 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 15 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 19 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 17 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 19 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 14 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 17 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 14 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 14 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 16 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 15 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 18 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 17 ([(2,6),(3,4),(3,6),(6,5)],7) => 11 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 12 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 13 ([(2,6),(3,4),(3,5)],7) => 10 ([(2,6),(3,4),(3,5),(3,6)],7) => 11 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 12 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 13 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 15 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 17 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 14 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 15 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 13 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 15 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 14 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 14 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 15 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 15 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 15 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 15 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 16 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 13 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 15 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 17 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 15 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 17 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 17 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 15 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 17 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 12 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 13 ([(1,6),(2,3),(2,4),(2,5)],7) => 11 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 12 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 13 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 15 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 15 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 15 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 15 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 16 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 13 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 12 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 13 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 13 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 13 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 14 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 15 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 15 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 15 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 16 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 16 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 13 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 14 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 15 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 16 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 12 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 13 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 12 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 13 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 13 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 14 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 14 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 15 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 14 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 15 ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 14 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 15 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 15 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 16 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 15 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 15 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 13 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 14 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 14 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 15 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 14 ----------------------------------------------------------------------------- Created: Nov 03, 2016 at 06:40 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Nov 03, 2016 at 09:57 by Martin Rubey