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Identifier
Values
=>
Cc0014;cc-rep
([],2)=>1 ([(0,1)],2)=>1 ([],3)=>1 ([(1,2)],3)=>1 ([(0,1),(0,2)],3)=>2 ([(0,2),(2,1)],3)=>1 ([(0,2),(1,2)],3)=>2 ([],4)=>1 ([(2,3)],4)=>1 ([(1,2),(1,3)],4)=>3 ([(0,1),(0,2),(0,3)],4)=>3 ([(0,2),(0,3),(3,1)],4)=>2 ([(0,1),(0,2),(1,3),(2,3)],4)=>3 ([(1,2),(2,3)],4)=>1 ([(0,3),(3,1),(3,2)],4)=>3 ([(1,3),(2,3)],4)=>3 ([(0,3),(1,3),(3,2)],4)=>3 ([(0,3),(1,3),(2,3)],4)=>3 ([(0,3),(1,2)],4)=>3 ([(0,3),(1,2),(1,3)],4)=>3 ([(0,2),(0,3),(1,2),(1,3)],4)=>1 ([(0,3),(2,1),(3,2)],4)=>1 ([(0,3),(1,2),(2,3)],4)=>2 ([],5)=>1 ([(3,4)],5)=>1 ([(2,3),(2,4)],5)=>3 ([(1,2),(1,3),(1,4)],5)=>5 ([(0,1),(0,2),(0,3),(0,4)],5)=>7 ([(0,2),(0,3),(0,4),(4,1)],5)=>5 ([(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)=>5 ([(1,3),(1,4),(4,2)],5)=>3 ([(0,3),(0,4),(4,1),(4,2)],5)=>8 ([(1,2),(1,3),(2,4),(3,4)],5)=>3 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>4 ([(0,3),(0,4),(3,2),(4,1)],5)=>8 ([(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)=>3 ([(2,3),(3,4)],5)=>1 ([(1,4),(4,2),(4,3)],5)=>3 ([(0,4),(4,1),(4,2),(4,3)],5)=>5 ([(2,4),(3,4)],5)=>3 ([(1,4),(2,4),(4,3)],5)=>3 ([(0,4),(1,4),(4,2),(4,3)],5)=>3 ([(1,4),(2,4),(3,4)],5)=>5 ([(0,4),(1,4),(2,4),(4,3)],5)=>5 ([(0,4),(1,4),(2,4),(3,4)],5)=>7 ([(0,4),(1,4),(2,3)],5)=>5 ([(0,4),(1,3),(2,3),(2,4)],5)=>7 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,4),(1,4),(2,3),(4,2)],5)=>4 ([(0,4),(1,3),(2,3),(3,4)],5)=>8 ([(0,4),(1,4),(2,3),(2,4)],5)=>7 ([(0,4),(1,4),(2,3),(3,4)],5)=>5 ([(1,4),(2,3)],5)=>3 ([(1,4),(2,3),(2,4)],5)=>5 ([(0,4),(1,2),(1,4),(2,3)],5)=>5 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>5 ([(1,3),(1,4),(2,3),(2,4)],5)=>7 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>2 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>3 ([(0,4),(1,2),(1,4),(4,3)],5)=>8 ([(0,4),(1,2),(1,3)],5)=>5 ([(0,4),(1,2),(1,3),(1,4)],5)=>7 ([(0,2),(0,4),(3,1),(4,3)],5)=>2 ([(0,4),(1,2),(1,3),(3,4)],5)=>5 ([(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)=>7 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>2 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>2 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>1 ([(0,3),(1,2),(1,4),(3,4)],5)=>5 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>2 ([(1,4),(3,2),(4,3)],5)=>1 ([(0,3),(3,4),(4,1),(4,2)],5)=>4 ([(1,4),(2,3),(3,4)],5)=>3 ([(0,4),(1,2),(2,4),(4,3)],5)=>3 ([(0,3),(1,4),(4,2)],5)=>3 ([(0,4),(3,2),(4,1),(4,3)],5)=>3 ([(0,4),(1,2),(2,3),(2,4)],5)=>8 ([(0,4),(2,3),(3,1),(4,2)],5)=>1 ([(0,3),(1,2),(2,4),(3,4)],5)=>8 ([(0,4),(1,2),(2,3),(3,4)],5)=>2 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>4 ([],6)=>1 ([(4,5)],6)=>1 ([(3,4),(3,5)],6)=>3 ([(2,3),(2,4),(2,5)],6)=>6 ([(1,2),(1,3),(1,4),(1,5)],6)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>13 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>13 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>24 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>18 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>18 ([(1,3),(1,4),(1,5),(5,2)],6)=>9 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>24 ([(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)=>5 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>7 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>18 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>18 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>8 ([(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)=>13 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>8 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>24 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>18 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>18 ([(2,3),(2,4),(4,5)],6)=>3 ([(1,4),(1,5),(5,2),(5,3)],6)=>12 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>18 ([(2,3),(2,4),(3,5),(4,5)],6)=>3 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>4 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>6 ([(1,4),(1,5),(4,3),(5,2)],6)=>12 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>5 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(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)=>6 ([(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)=>18 ([(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)=>18 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>5 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>8 ([(3,4),(4,5)],6)=>1 ([(2,3),(3,4),(3,5)],6)=>3 ([(1,5),(5,2),(5,3),(5,4)],6)=>5 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>18 ([(2,3),(3,5),(5,4)],6)=>1 ([(1,4),(4,5),(5,2),(5,3)],6)=>4 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>7 ([(3,5),(4,5)],6)=>3 ([(2,5),(3,5),(5,4)],6)=>3 ([(1,5),(2,5),(5,3),(5,4)],6)=>3 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>8 ([(2,5),(3,5),(4,5)],6)=>6 ([(1,5),(2,5),(3,5),(5,4)],6)=>5 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>8 ([(1,5),(2,5),(3,5),(4,5)],6)=>13 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>18 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>13 ([(0,5),(1,5),(2,5),(3,4)],6)=>13 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>7 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>18 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>13 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>13 ([(1,5),(2,5),(3,4)],6)=>6 ([(1,5),(2,4),(3,4),(3,5)],6)=>13 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>24 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>18 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>13 ([(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)=>5 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>10 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>8 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>6 ([(1,5),(2,5),(3,4),(5,3)],6)=>4 ([(1,5),(2,4),(3,4),(4,5)],6)=>12 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>13 ([(0,5),(1,5),(2,3),(5,4)],6)=>12 ([(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)=>13 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>18 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>13 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>18 ([(0,5),(1,5),(2,3),(2,4)],6)=>13 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>6 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>24 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>7 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>13 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>5 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>8 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>13 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>13 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>10 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>13 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>24 ([(1,5),(2,5),(3,4),(4,5)],6)=>9 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>10 ([(0,5),(1,5),(2,3),(3,4)],6)=>9 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>5 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>18 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>10 ([(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)=>24 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>5 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>8 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>7 ([(0,5),(1,5),(2,4),(3,4)],6)=>13 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>13 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>10 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>10 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>8 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>6 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>24 ([(2,5),(3,4)],6)=>3 ([(2,5),(3,4),(3,5)],6)=>6 ([(1,5),(2,3),(2,5),(3,4)],6)=>9 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>24 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>18 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>8 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>7 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>18 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>5 ([(2,4),(2,5),(3,4),(3,5)],6)=>13 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>24 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>7 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>7 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>8 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>1 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>13 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>6 ([(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)=>12 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>18 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>10 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>5 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>4 ([(1,5),(2,3),(2,5),(5,4)],6)=>12 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>18 ([(1,5),(2,3),(2,4)],6)=>6 ([(1,5),(2,3),(2,4),(2,5)],6)=>13 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>13 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>18 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>24 ([(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)=>24 ([(0,5),(1,2),(1,3),(1,4)],6)=>13 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>13 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>5 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>13 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>10 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>24 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>10 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>18 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>13 ([(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)=>2 ([(1,3),(1,5),(4,2),(5,4)],6)=>3 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>8 ([(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)=>10 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>7 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>10 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>2 ([(1,5),(2,3),(2,4),(4,5)],6)=>9 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>10 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>3 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>4 ([(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)=>24 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>18 ([(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)=>10 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>10 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>18 ([(0,4),(1,3),(1,5),(5,2)],6)=>9 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>10 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>24 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>24 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>3 ([(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)=>18 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>5 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>8 ([(1,4),(1,5),(2,3),(2,5)],6)=>13 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>13 ([(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)=>18 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>10 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>4 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>7 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>8 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>6 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>6 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>5 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>24 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>13 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>6 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>2 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>2 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>13 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>18 ([(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)=>7 ([(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)=>18 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>1 ([(0,4),(0,5),(1,2),(1,3)],6)=>13 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>13 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>10 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>6 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>12 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>10 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>5 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>3 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>2 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>6 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>4 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>13 ([(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)=>6 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>13 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>24 ([(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)=>6 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>7 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>12 ([(1,4),(2,3),(2,5),(4,5)],6)=>9 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>10 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>24 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>1 ([(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)=>24 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>10 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>6 ([(0,5),(1,3),(1,4),(5,2)],6)=>9 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>2 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>13 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>24 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>6 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>2 ([(2,5),(3,4),(4,5)],6)=>3 ([(1,5),(2,3),(3,5),(5,4)],6)=>3 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>6 ([(1,3),(2,4),(4,5)],6)=>3 ([(1,5),(4,3),(5,2),(5,4)],6)=>3 ([(1,5),(2,3),(3,4),(3,5)],6)=>12 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>10 ([(0,4),(1,5),(5,2),(5,3)],6)=>12 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>10 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>18 ([(1,5),(3,4),(4,2),(5,3)],6)=>1 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>5 ([(1,4),(2,3),(3,5),(4,5)],6)=>12 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>13 ([(0,5),(1,4),(4,2),(5,3)],6)=>12 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>3 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>18 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>7 ([(1,5),(2,3),(3,4),(4,5)],6)=>3 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>4 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>5 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>3 ([(0,5),(1,4),(2,3)],6)=>6 ([(0,5),(1,3),(2,4),(2,5)],6)=>13 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>13 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>5 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>10 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>13 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>13 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>18 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>8 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>24 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>13 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>10 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>5 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>10 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>5 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>1 ([(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)=>10 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>6 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>13 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>6 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>13 ([(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)=>5 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>2 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>6 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>7 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>13 ([(0,5),(1,3),(4,2),(5,4)],6)=>3 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>13 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>10 ([(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)=>4 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>8 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>1 ([(0,5),(1,3),(2,4),(4,5)],6)=>9 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>24 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>4 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>10 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>2 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>5 ([(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)=>4 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>24 ([],7)=>1 ([(5,6)],7)=>1 ([(4,5),(4,6)],7)=>3 ([(3,4),(3,5),(3,6)],7)=>6 ([(2,3),(2,4),(2,5),(2,6)],7)=>15 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>25 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>36 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>38 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>74 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>70 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>82 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>46 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>25 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>74 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>40 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>26 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>21 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>30 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>82 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>46 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>33 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>16 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>70 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>82 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>46 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>42 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>82 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>82 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>46 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>42 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>42 ([(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)=>21 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>63 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>44 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>24 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>74 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>70 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>82 ([(2,4),(2,5),(2,6),(6,3)],7)=>10 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>40 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>70 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>12 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>5 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>7 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>18 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>26 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>21 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>8 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>8 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>18 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>32 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>8 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>14 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>63 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>30 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>21 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>33 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>82 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>46 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>63 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>24 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>13 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>18 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>44 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>30 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>12 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>12 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>40 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>26 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>21 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>46 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>42 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>18 ([(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)=>32 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>30 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>63 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>12 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>44 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>70 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>82 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>82 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>46 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>42 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>70 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>82 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>46 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>46 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>42 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>18 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>42 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>18 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>21 ([(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)=>5 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>42 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>32 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>46 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>63 ([(3,4),(3,5),(5,6)],7)=>3 ([(2,5),(2,6),(6,3),(6,4)],7)=>12 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>26 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>82 ([(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>4 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>6 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>18 ([(2,5),(2,6),(5,4),(6,3)],7)=>12 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>5 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>6 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>24 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>6 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>10 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>24 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>18 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>4 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>13 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>30 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>26 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>21 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>63 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>82 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>46 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>21 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>5 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>8 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>18 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>24 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>18 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>32 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>30 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>63 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>82 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>46 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>42 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>42 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>18 ([(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)=>3 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>4 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>12 ([(4,5),(5,6)],7)=>1 ([(3,4),(4,5),(4,6)],7)=>3 ([(2,6),(6,3),(6,4),(6,5)],7)=>5 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>21 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>46 ([(3,4),(4,6),(6,5)],7)=>1 ([(2,5),(5,6),(6,3),(6,4)],7)=>4 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>7 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>30 ([(4,6),(5,6)],7)=>3 ([(3,6),(4,6),(6,5)],7)=>3 ([(2,6),(3,6),(6,4),(6,5)],7)=>3 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>8 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>21 ([(3,6),(4,6),(5,6)],7)=>6 ([(2,6),(3,6),(4,6),(6,5)],7)=>5 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>8 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>5 ([(2,6),(3,6),(4,6),(5,6)],7)=>15 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>21 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>21 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>25 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>46 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>36 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>25 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>30 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>82 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>36 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>38 ([(1,6),(2,6),(3,6),(4,5)],7)=>15 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>7 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>26 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>26 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>8 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>42 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>25 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>82 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>38 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>46 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>25 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>18 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>70 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>22 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>36 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>38 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>74 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>25 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>38 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>25 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>9 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>33 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>82 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>74 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>5 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>10 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>9 ([(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)=>25 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>36 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>27 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>25 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>25 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>8 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>16 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>18 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>70 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>36 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>27 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>24 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>12 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>18 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>74 ([(2,6),(3,6),(4,5)],7)=>6 ([(2,6),(3,5),(4,5),(4,6)],7)=>15 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>40 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>82 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>21 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>30 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>82 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>42 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>21 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>25 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>74 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>53 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>18 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>4 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>5 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>22 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>21 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>36 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>49 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>6 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>27 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>8 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>42 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>25 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>10 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>70 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>22 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>36 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>10 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>8 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>32 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>58 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>14 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>46 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>4 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>49 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>27 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>24 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>25 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>16 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>27 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>32 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>16 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>27 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>32 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>27 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>25 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>36 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>24 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>74 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>63 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>82 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>36 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>27 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>25 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>13 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>25 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>58 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>27 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>27 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>38 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>58 ([(2,6),(3,6),(4,5),(6,4)],7)=>4 ([(2,6),(3,5),(4,5),(5,6)],7)=>12 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>13 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>24 ([(1,6),(2,6),(3,4),(6,5)],7)=>12 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>6 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>21 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>32 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>21 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>18 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>42 ([(2,6),(3,6),(4,5),(4,6)],7)=>15 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>26 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>42 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>25 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>21 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>82 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>18 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>74 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>46 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>21 ([(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)=>30 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>38 ([(1,6),(2,6),(3,4),(3,5)],7)=>15 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>6 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>40 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>82 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>6 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>44 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>40 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>24 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>82 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>22 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>25 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>70 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>38 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>82 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>74 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>46 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>25 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>18 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>74 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>53 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>6 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>36 ([(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)=>24 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>44 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>38 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>33 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>44 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>63 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>74 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>45 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>63 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>70 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>25 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>45 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>40 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>63 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>25 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>12 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>70 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>22 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>63 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>24 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>70 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>33 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>44 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>74 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>33 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>10 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>45 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>63 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>32 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>38 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>63 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>32 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>30 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>44 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>13 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>63 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>30 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>45 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>16 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>18 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>74 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>38 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>45 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>63 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>70 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>33 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>44 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>33 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>40 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>10 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>82 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>70 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>82 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>10 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>10 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>24 ([(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)=>24 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>16 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>44 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>33 ([(2,6),(3,6),(4,5),(5,6)],7)=>10 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>10 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>18 ([(1,6),(2,6),(3,4),(4,5)],7)=>10 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>5 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>26 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>33 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>26 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>6 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>46 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>40 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>38 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>33 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>63 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>40 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>10 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>82 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>22 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>45 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>63 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>70 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>33 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>44 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>33 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>24 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>16 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>30 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>3 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>3 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>5 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>6 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>9 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>10 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>9 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>6 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>45 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>10 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>18 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>24 ([(1,6),(2,6),(3,5),(4,5)],7)=>15 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>25 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>74 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>46 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>36 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>58 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>42 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>53 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>36 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>49 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>42 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>27 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>24 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>18 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>27 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>25 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>21 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>70 ([(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)=>6 ([(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)=>10 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>40 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>63 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>40 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>63 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>24 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>82 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>82 ([(0,6),(1,6),(2,5),(3,4)],7)=>15 ([(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)=>24 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>63 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>40 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>82 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>18 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>44 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>25 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>16 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>70 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>38 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>33 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>82 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>36 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>27 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>36 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>49 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>27 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>27 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>38 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>38 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>58 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>25 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>36 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>27 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>25 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>10 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>58 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>12 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>74 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>53 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>24 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>18 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>16 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>74 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>36 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>38 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>44 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>30 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>70 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>36 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>27 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>25 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>13 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>32 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>25 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>25 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>8 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>13 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>8 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(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)=>2 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>32 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>4 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>6 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>4 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>58 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>27 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>27 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>25 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>6 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>4 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>58 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>63 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>24 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>82 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>24 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>12 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>74 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>25 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>15 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>45 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>74 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>25 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>10 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>44 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>12 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>30 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>70 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>74 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>10 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>12 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>33 ([(3,6),(4,5)],7)=>3 ([(3,6),(4,5),(4,6)],7)=>6 ([(2,6),(3,4),(3,6),(4,5)],7)=>10 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>40 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>70 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>46 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>18 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>5 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>21 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>8 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>33 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>82 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>42 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>21 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>5 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>7 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>18 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>26 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>5 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>46 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>18 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>9 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>10 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>15 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>45 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>14 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>15 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>24 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>63 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>18 ([(3,5),(3,6),(4,5),(4,6)],7)=>15 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>40 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>82 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>22 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>6 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>82 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>8 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>22 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>21 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>21 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>3 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>25 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>36 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>58 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>82 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>53 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>42 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>27 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>32 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>53 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>18 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>22 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>24 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>58 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>18 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>74 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>6 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>21 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>30 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>53 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>42 ([(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)=>32 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>74 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>18 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>53 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>21 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>42 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>36 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>49 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>58 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>6 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>2 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>58 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>46 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>27 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>27 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>42 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>27 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>18 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>27 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>27 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>27 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>53 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>24 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>42 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>32 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>36 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>58 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>27 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>82 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>27 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>22 ([(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)=>27 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>32 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>25 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>32 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>10 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>12 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>27 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>32 ([(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)=>24 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>14 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>30 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>58 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>32 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>27 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>38 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>22 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>49 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>15 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>58 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>38 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>49 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>46 ([(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)=>30 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>58 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>27 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>6 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>4 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>6 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>18 ([(2,6),(3,4),(3,6),(6,5)],7)=>12 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>21 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>42 ([(2,6),(3,4),(3,5)],7)=>6 ([(2,6),(3,4),(3,5),(3,6)],7)=>15 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>25 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>74 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>82 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>42 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>26 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>16 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>70 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>46 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>40 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>21 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>30 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>82 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>42 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>24 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>63 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>74 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>70 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>46 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>46 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>82 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>42 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>21 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>82 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>42 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>40 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>82 ([(1,6),(2,3),(2,4),(2,5)],7)=>15 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>25 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>38 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>70 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>74 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>82 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>70 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>46 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>74 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>25 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>36 ([(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)=>38 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>33 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>74 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>45 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>70 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>38 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>82 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>38 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>58 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>24 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>3 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>9 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>24 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>25 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>33 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>14 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>10 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>40 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>44 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>10 ([(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)=>26 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>33 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>70 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>63 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>38 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>82 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>74 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>45 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>45 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>70 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>45
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Description
The number of posets with the same zeta polynomial.
The zeta polynomial $Z$ is the polynomial such that $Z(m)$ is the number of weakly increasing sequences $x_1\leq x_2\leq\dots\leq x_{m−1}$ of elements of the poset.
See section 3.12 of [1].
Since
$$ Z(q) = \sum_{k\geq 1} \binom{q-2}{k-1} c_k, $$
where $c_k$ is the number of chains of length $k$, this statistic is the same as the number of posets with the same chain polynomial.
References
[1] Stanley, R. P. Enumerative combinatorics. Volume 1 MathSciNet:2868112
Code
@cached_function
def zeta_polynomial_multiplicities(n):
    l = [P.zeta_polynomial() for P in Posets(n)]
    return {p: l.count(p) for p in l}
    

def statistic(P):
    return zeta_polynomial_multiplicities(P.cardinality())[P.zeta_polynomial()]
Created
Jun 06, 2016 at 08:44 by Martin Rubey
Updated
Nov 08, 2017 at 19:01 by Martin Rubey