***************************************************************************** * 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: St000100 ----------------------------------------------------------------------------- Collection: Posets ----------------------------------------------------------------------------- Description: The number of linear extensions of a poset. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(P): return P.linear_extensions().cardinality() ----------------------------------------------------------------------------- Statistic values: ([],2) => 2 ([(0,1)],2) => 1 ([],3) => 6 ([(1,2)],3) => 3 ([(0,1),(0,2)],3) => 2 ([(0,2),(2,1)],3) => 1 ([(0,2),(1,2)],3) => 2 ([],4) => 24 ([(2,3)],4) => 12 ([(1,2),(1,3)],4) => 8 ([(0,1),(0,2),(0,3)],4) => 6 ([(0,2),(0,3),(3,1)],4) => 3 ([(0,1),(0,2),(1,3),(2,3)],4) => 2 ([(1,2),(2,3)],4) => 4 ([(0,3),(3,1),(3,2)],4) => 2 ([(1,3),(2,3)],4) => 8 ([(0,3),(1,3),(3,2)],4) => 2 ([(0,3),(1,3),(2,3)],4) => 6 ([(0,3),(1,2)],4) => 6 ([(0,3),(1,2),(1,3)],4) => 5 ([(0,2),(0,3),(1,2),(1,3)],4) => 4 ([(0,3),(2,1),(3,2)],4) => 1 ([(0,3),(1,2),(2,3)],4) => 3 ([],5) => 120 ([(3,4)],5) => 60 ([(2,3),(2,4)],5) => 40 ([(1,2),(1,3),(1,4)],5) => 30 ([(0,1),(0,2),(0,3),(0,4)],5) => 24 ([(0,2),(0,3),(0,4),(4,1)],5) => 12 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 8 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 6 ([(1,3),(1,4),(4,2)],5) => 15 ([(0,3),(0,4),(4,1),(4,2)],5) => 8 ([(1,2),(1,3),(2,4),(3,4)],5) => 10 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2 ([(0,3),(0,4),(3,2),(4,1)],5) => 6 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 5 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4 ([(2,3),(3,4)],5) => 20 ([(1,4),(4,2),(4,3)],5) => 10 ([(0,4),(4,1),(4,2),(4,3)],5) => 6 ([(2,4),(3,4)],5) => 40 ([(1,4),(2,4),(4,3)],5) => 10 ([(0,4),(1,4),(4,2),(4,3)],5) => 4 ([(1,4),(2,4),(3,4)],5) => 30 ([(0,4),(1,4),(2,4),(4,3)],5) => 6 ([(0,4),(1,4),(2,4),(3,4)],5) => 24 ([(0,4),(1,4),(2,3)],5) => 20 ([(0,4),(1,3),(2,3),(2,4)],5) => 16 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 14 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 12 ([(0,4),(1,4),(2,3),(4,2)],5) => 2 ([(0,4),(1,3),(2,3),(3,4)],5) => 8 ([(0,4),(1,4),(2,3),(2,4)],5) => 18 ([(0,4),(1,4),(2,3),(3,4)],5) => 12 ([(1,4),(2,3)],5) => 30 ([(1,4),(2,3),(2,4)],5) => 25 ([(0,4),(1,2),(1,4),(2,3)],5) => 9 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 5 ([(1,3),(1,4),(2,3),(2,4)],5) => 20 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 6 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 4 ([(0,4),(1,2),(1,4),(4,3)],5) => 7 ([(0,4),(1,2),(1,3)],5) => 20 ([(0,4),(1,2),(1,3),(1,4)],5) => 18 ([(0,2),(0,4),(3,1),(4,3)],5) => 4 ([(0,4),(1,2),(1,3),(3,4)],5) => 11 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 8 ([(0,3),(0,4),(1,2),(1,4)],5) => 16 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 14 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 12 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 8 ([(0,3),(1,2),(1,4),(3,4)],5) => 9 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 6 ([(1,4),(3,2),(4,3)],5) => 5 ([(0,3),(3,4),(4,1),(4,2)],5) => 2 ([(1,4),(2,3),(3,4)],5) => 15 ([(0,4),(1,2),(2,4),(4,3)],5) => 3 ([(0,3),(1,4),(4,2)],5) => 10 ([(0,4),(3,2),(4,1),(4,3)],5) => 3 ([(0,4),(1,2),(2,3),(2,4)],5) => 7 ([(0,4),(2,3),(3,1),(4,2)],5) => 1 ([(0,3),(1,2),(2,4),(3,4)],5) => 6 ([(0,4),(1,2),(2,3),(3,4)],5) => 4 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2 ([],6) => 720 ([(4,5)],6) => 360 ([(3,4),(3,5)],6) => 240 ([(2,3),(2,4),(2,5)],6) => 180 ([(1,2),(1,3),(1,4),(1,5)],6) => 144 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 120 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 60 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 40 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 30 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 24 ([(1,3),(1,4),(1,5),(5,2)],6) => 72 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 48 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 36 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 6 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 20 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 16 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 14 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 18 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 8 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 10 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 30 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 25 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20 ([(2,3),(2,4),(4,5)],6) => 90 ([(1,4),(1,5),(5,2),(5,3)],6) => 48 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30 ([(2,3),(2,4),(3,5),(4,5)],6) => 60 ([(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) => 4 ([(1,4),(1,5),(4,3),(5,2)],6) => 36 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 30 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 24 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 7 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 20 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 18 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 16 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 14 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12 ([(3,4),(4,5)],6) => 120 ([(2,3),(3,4),(3,5)],6) => 60 ([(1,5),(5,2),(5,3),(5,4)],6) => 36 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24 ([(2,3),(3,5),(5,4)],6) => 30 ([(1,4),(4,5),(5,2),(5,3)],6) => 12 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6 ([(3,5),(4,5)],6) => 240 ([(2,5),(3,5),(5,4)],6) => 60 ([(1,5),(2,5),(5,3),(5,4)],6) => 24 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12 ([(2,5),(3,5),(4,5)],6) => 180 ([(1,5),(2,5),(3,5),(5,4)],6) => 36 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 12 ([(1,5),(2,5),(3,5),(4,5)],6) => 144 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 24 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 120 ([(0,5),(1,5),(2,5),(3,4)],6) => 90 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 6 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 30 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 84 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 60 ([(1,5),(2,5),(3,4)],6) => 120 ([(1,5),(2,4),(3,4),(3,5)],6) => 96 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 26 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 16 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 84 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 24 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 14 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 72 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 12 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 20 ([(1,5),(2,5),(3,4),(5,3)],6) => 12 ([(1,5),(2,4),(3,4),(4,5)],6) => 48 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 8 ([(0,5),(1,5),(2,3),(5,4)],6) => 30 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 18 ([(1,5),(2,5),(3,4),(3,5)],6) => 108 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 24 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 38 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 18 ([(0,5),(1,5),(2,3),(2,4)],6) => 80 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 4 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 28 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 76 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 19 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 6 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 52 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 15 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 8 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 40 ([(1,5),(2,5),(3,4),(4,5)],6) => 72 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 12 ([(0,5),(1,5),(2,3),(3,4)],6) => 40 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 20 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 14 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 32 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 20 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 10 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6 ([(0,5),(1,5),(2,4),(3,4)],6) => 80 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 70 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 64 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 60 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 54 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 48 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 10 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 40 ([(2,5),(3,4)],6) => 180 ([(2,5),(3,4),(3,5)],6) => 150 ([(1,5),(2,3),(2,5),(3,4)],6) => 54 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 28 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 14 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 10 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 30 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 5 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 16 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 12 ([(2,4),(2,5),(3,4),(3,5)],6) => 120 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 36 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 24 ([(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) => 10 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 60 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 6 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 28 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 20 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 52 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 22 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 48 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 30 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 32 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 24 ([(1,5),(2,3),(2,5),(5,4)],6) => 42 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 18 ([(1,5),(2,3),(2,4)],6) => 120 ([(1,5),(2,3),(2,4),(2,5)],6) => 108 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 42 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 23 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 28 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 18 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 32 ([(0,5),(1,2),(1,3),(1,4)],6) => 90 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 84 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 20 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 52 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 15 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 38 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 12 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 30 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 38 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 24 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18 ([(1,3),(1,5),(4,2),(5,4)],6) => 24 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 10 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 9 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 5 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 9 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 8 ([(1,5),(2,3),(2,4),(4,5)],6) => 66 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 14 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 18 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 3 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 48 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 8 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 26 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 21 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 18 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 11 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 11 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 23 ([(0,4),(1,3),(1,5),(5,2)],6) => 45 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 33 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 26 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 4 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 30 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 20 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 10 ([(1,4),(1,5),(2,3),(2,5)],6) => 96 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 84 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 27 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 18 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 72 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24 ([(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) => 12 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 32 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 19 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 14 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 30 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 48 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 15 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 11 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 8 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 35 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 21 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 24 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 13 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 22 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 16 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 13 ([(0,4),(0,5),(1,2),(1,3)],6) => 80 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 70 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 64 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 37 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 26 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 60 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 54 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 30 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 33 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 22 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 40 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 28 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 7 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 28 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 22 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 19 ([(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) => 18 ([(1,4),(2,3),(2,5),(4,5)],6) => 54 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 12 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 36 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 19 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 9 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 15 ([(0,5),(1,3),(1,4),(5,2)],6) => 40 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 5 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 26 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 20 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 11 ([(2,5),(3,4),(4,5)],6) => 90 ([(1,5),(2,3),(3,5),(5,4)],6) => 18 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 6 ([(1,3),(2,4),(4,5)],6) => 60 ([(1,5),(4,3),(5,2),(5,4)],6) => 18 ([(1,5),(2,3),(3,4),(3,5)],6) => 42 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 10 ([(0,4),(1,5),(5,2),(5,3)],6) => 30 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 24 ([(1,5),(3,4),(4,2),(5,3)],6) => 6 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2 ([(1,4),(2,3),(3,5),(4,5)],6) => 36 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 6 ([(0,5),(1,4),(4,2),(5,3)],6) => 20 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 16 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 12 ([(1,5),(2,3),(3,4),(4,5)],6) => 24 ([(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) => 2 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 4 ([(0,5),(1,4),(2,3)],6) => 90 ([(0,5),(1,3),(2,4),(2,5)],6) => 75 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 66 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 14 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 9 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 40 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 7 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 25 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 9 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 33 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 61 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 52 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 48 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 48 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 44 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 40 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 24 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 57 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 37 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 66 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 33 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 35 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 27 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 14 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 8 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 5 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 42 ([(0,5),(1,3),(4,2),(5,4)],6) => 15 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 6 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 12 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 7 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 9 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1 ([(0,5),(1,3),(2,4),(4,5)],6) => 45 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 30 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 3 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 15 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 5 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 10 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 3 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 30 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 720 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 360 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 180 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 120 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 90 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 90 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 80 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 120 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 720 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 24 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 144 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 360 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 60 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 6 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 30 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 90 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 30 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 120 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 36 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 180 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 60 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 240 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 55 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 20 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 5 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 20 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 40 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 10 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 40 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 80 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 8 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 48 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 272 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 12 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 72 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 180 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 12 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 30 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 120 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 18 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 90 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 120 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60 ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90 ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => 60 ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 30 ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36 ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => 14 ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 30 ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 40 ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72 ([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => 71 ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24 ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15 ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 45 ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => 35 ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => 21 ([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => 90 ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => 111 ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => 99 ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48 ([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) => 132 ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12 ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 15 ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => 14 ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30 ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40 ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => 34 ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60 ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6 ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20 ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10 ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 10 ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 78 ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 155 ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => 169 ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 181 ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => 78 ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => 20 ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => 111 ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 64 ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 36 ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18 ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 20 ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => 50 ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => 50 ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 132 ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => 64 ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => 181 ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) => 272 ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => 155 ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => 20 ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => 90 ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => 34 ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => 99 ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6 ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 20 ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8 ([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => 29 ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => 55 ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12 ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2 ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4 ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5 ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 30 ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 30 ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 6 ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3 ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 10 ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1 ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 3 ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 15 ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 45 ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => 60 ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 15 ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 90 ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 6 ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 36 ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 4 ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 24 ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 6 ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 20 ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1 ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 14 ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16 ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96 ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240 ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1440 ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240 ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 2688 ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440 ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2688 ([(4,6),(4,7),(5,6),(5,7)],8) => 6720 ([],8) => 40320 ([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 24 ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8) => 40 ([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8) => 36 ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8) => 24 ([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8) => 70 ([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8) => 68 ([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8) => 60 ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8) => 40 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8) => 36 ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8) => 54 ([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8) => 60 ([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8) => 36 ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => 24 ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 120 ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 280 ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448 ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 672 ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 420 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 360 ([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 160 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 120 ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 160 ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1680 ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 3360 ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 2016 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 504 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 480 ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 200 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 148 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 120 ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 280 ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 392 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 1128 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 1272 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 1680 ([(4,7),(5,6)],8) => 10080 ([(0,7),(1,6),(2,5),(3,4)],8) => 2520 ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 1750 ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 630 ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 588 ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 420 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 360 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) => 160 ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => 200 ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 272 ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 280 ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 630 ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 2520 ([(2,7),(3,7),(4,6),(5,6)],8) => 4480 ([(2,5),(3,4),(4,6),(5,7)],8) => 1120 ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 280 ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 240 ([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) => 256 ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 588 ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 1008 ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 672 ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 392 ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 192 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 180 ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 144 ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 144 ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 648 ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 768 ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 1128 ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 3360 ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 1272 ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 896 ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 768 ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 192 ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 180 ([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => 120 ([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => 160 ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 240 ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 256 ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 280 ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 1120 ([(2,6),(2,7),(3,4),(3,5)],8) => 4480 ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 504 ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 480 ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 1680 ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 2016 ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 2520 ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7 ([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8) => 20 ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8) => 21 ([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8) => 28 ([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8) => 64 ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) => 35 ([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => 70 ([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => 56 ([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8) => 90 ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8) => 42 ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => 384 ([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9) => 640 ([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9) => 896 ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1 ([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9) => 42 ([(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) => 42 ([(0,6),(3,8),(4,5),(4,8),(5,1),(5,7),(6,3),(6,4),(8,2),(8,7)],9) => 42 ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => 8 ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9) => 27 ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9) => 28 ([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9) => 48 ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9) => 105 ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9) => 56 ([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9) => 42 ([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9) => 162 ([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9) => 120 ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9) => 189 ([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9) => 70 ([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => 84 ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9) => 168 ([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9) => 216 ([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10) => 768 ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => 42 ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1 ([(0,5),(0,6),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9)],10) => 768 ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 9 ([(0,2),(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6),(8,9)],10) => 35 ([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10) => 36 ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(5,9),(6,1),(7,5),(7,8),(8,9)],10) => 75 ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(7,9),(8,1),(8,9)],10) => 160 ([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10) => 84 ([(0,2),(0,6),(2,7),(3,1),(4,3),(4,8),(5,4),(5,9),(6,5),(6,7),(7,9),(9,8)],10) => 90 ([(0,6),(0,7),(3,5),(4,3),(4,9),(5,2),(6,4),(6,8),(7,1),(7,8),(8,9)],10) => 315 ([(0,6),(0,7),(2,9),(3,5),(4,3),(5,1),(6,4),(6,8),(7,2),(7,8),(8,9)],10) => 225 ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(7,9),(8,4),(8,9)],10) => 350 ([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10) => 126 ([(0,5),(0,6),(3,4),(3,9),(4,2),(4,8),(5,3),(5,7),(6,1),(6,7),(7,9),(9,8)],10) => 288 ([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9)],10) => 450 ([(0,6),(0,7),(3,4),(3,9),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => 567 ([(0,6),(0,7),(3,4),(4,1),(5,2),(5,9),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => 525 ([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(7,9),(8,4),(8,9)],10) => 448 ([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10) => 252 ([(0,5),(0,6),(2,8),(3,1),(4,2),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(9,8)],10) => 300 ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10) => 210 ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => 3840 ([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11) => 6400 ([(0,8),(1,9),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,10),(10,9)],11) => 8960 ([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,9),(9,10)],11) => 11520 ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,9),(8,9),(9,10)],11) => 19200 ([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,8),(7,9),(8,10),(9,10)],11) => 16128 ([(0,10),(1,9),(2,8),(3,8),(3,9),(3,10),(5,11),(6,11),(7,11),(8,5),(8,6),(9,5),(9,7),(10,6),(10,7),(11,4)],12) => 2400 ([(0,7),(1,9),(1,10),(2,8),(2,10),(3,8),(3,9),(7,1),(7,2),(7,3),(8,6),(8,11),(9,4),(9,11),(10,5),(10,11)],12) => 2400 ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => 46080 ([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13) => 76800 ([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,10),(10,12),(11,9),(12,11)],13) => 107520 ([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(11,9),(12,10)],13) => 138240 ([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(11,12),(12,10)],13) => 230400 ([(0,7),(1,7),(2,8),(3,8),(4,11),(5,10),(6,9),(7,10),(8,11),(10,12),(11,12),(12,9)],13) => 193536 ([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13) => 168960 ([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(10,12),(11,10)],13) => 281600 ([(0,10),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(7,12),(8,11),(9,10),(10,12),(12,11)],13) => 394240 ([(0,7),(1,7),(2,8),(3,8),(4,9),(5,10),(6,11),(7,10),(8,11),(9,12),(10,12),(11,9)],13) => 304128 ([(0,10),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,11),(9,10),(10,12),(11,12)],13) => 506880 ([(0,11),(1,10),(2,10),(2,13),(3,11),(3,14),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,6),(13,12),(14,7),(14,12)],15) => 292864 ([(0,7),(0,8),(3,5),(3,12),(4,6),(4,13),(5,2),(5,10),(6,1),(6,11),(7,3),(7,9),(8,4),(8,9),(9,12),(9,13),(12,10),(12,14),(13,11),(13,14)],15) => 292864 ([(0,13),(1,12),(2,13),(2,15),(3,12),(3,15),(5,11),(6,7),(7,4),(8,9),(9,10),(10,7),(11,6),(11,10),(12,8),(13,5),(13,14),(14,9),(14,11),(15,8),(15,14)],16) => 24024 ([(0,9),(3,15),(4,14),(5,6),(5,14),(6,7),(6,10),(7,8),(7,13),(8,2),(8,11),(9,4),(9,5),(10,13),(10,15),(13,11),(13,12),(14,3),(14,10),(15,1),(15,12)],16) => 24024 ([(0,13),(1,16),(2,15),(3,13),(3,17),(4,15),(4,16),(4,17),(6,10),(7,19),(8,19),(9,18),(10,5),(11,7),(11,18),(12,8),(12,18),(13,14),(14,7),(14,8),(15,9),(15,11),(16,9),(16,12),(17,11),(17,12),(17,14),(18,6),(18,19),(19,10)],20) => 14082624 ([(0,10),(1,15),(2,16),(2,17),(6,11),(6,13),(7,12),(7,13),(8,5),(8,14),(9,6),(9,7),(9,15),(10,1),(10,9),(11,16),(11,19),(12,17),(12,19),(13,8),(13,19),(15,2),(15,11),(15,12),(16,4),(16,18),(17,3),(17,18),(19,14),(19,18)],20) => 14082624 ([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,13),(4,18),(5,14),(5,19),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,17),(16,10),(16,17),(17,11),(17,12),(18,7),(18,15),(19,8),(19,16),(20,15),(20,16)],21) => 1100742656 ([(0,9),(0,10),(3,7),(3,14),(4,8),(4,15),(5,3),(5,16),(6,4),(6,17),(7,2),(7,12),(8,1),(8,13),(9,5),(9,11),(10,6),(10,11),(11,16),(11,17),(14,12),(14,19),(15,13),(15,20),(16,14),(16,18),(17,15),(17,18),(18,19),(18,20)],21) => 1100742656 ([(0,18),(1,19),(2,18),(2,22),(3,19),(3,22),(4,6),(6,5),(7,11),(8,16),(9,17),(10,13),(10,14),(11,4),(12,23),(13,8),(13,23),(14,9),(14,23),(15,11),(16,15),(17,7),(17,15),(18,20),(19,21),(20,12),(20,13),(21,12),(21,14),(22,10),(22,20),(22,21),(23,16),(23,17)],24) => 2311020 ([(0,12),(1,18),(1,19),(4,21),(5,15),(6,14),(7,13),(8,9),(8,21),(9,6),(9,22),(10,2),(10,16),(11,3),(11,17),(12,7),(13,4),(13,8),(14,18),(14,20),(15,19),(15,20),(18,10),(18,23),(19,11),(19,23),(20,23),(21,5),(21,22),(22,1),(22,14),(22,15),(23,16),(23,17)],24) => 2311020 ([(0,18),(1,17),(2,18),(2,24),(3,23),(3,24),(4,17),(4,23),(6,15),(7,16),(8,9),(9,5),(10,12),(11,13),(12,11),(13,14),(14,9),(15,7),(15,21),(16,8),(16,14),(17,10),(18,6),(18,19),(19,15),(19,22),(20,12),(20,22),(21,13),(21,16),(22,11),(22,21),(23,10),(23,20),(24,19),(24,20)],25) => 701149020 ([(0,12),(2,13),(4,15),(5,16),(6,10),(6,13),(7,8),(7,18),(8,11),(8,19),(9,7),(9,17),(10,9),(10,20),(11,1),(11,14),(12,2),(12,6),(13,5),(13,20),(15,3),(15,22),(16,4),(16,24),(17,18),(17,24),(18,19),(18,21),(19,14),(19,23),(20,16),(20,17),(21,22),(21,23),(24,15),(24,21)],25) => 701149020 ----------------------------------------------------------------------------- Created: Jun 13, 2013 at 20:34 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Sep 25, 2020 at 00:11 by Martin Rubey