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Identifier
Values
=>
Cc0014;cc-rep
([],1)=>1 ([],2)=>1 ([(0,1)],2)=>1 ([],3)=>2 ([(1,2)],3)=>2 ([(0,1),(0,2)],3)=>1 ([(0,2),(2,1)],3)=>1 ([(0,2),(1,2)],3)=>1 ([],4)=>6 ([(2,3)],4)=>6 ([(1,2),(1,3)],4)=>3 ([(0,1),(0,2),(0,3)],4)=>2 ([(0,2),(0,3),(3,1)],4)=>2 ([(0,1),(0,2),(1,3),(2,3)],4)=>1 ([(1,2),(2,3)],4)=>3 ([(0,3),(3,1),(3,2)],4)=>1 ([(1,3),(2,3)],4)=>3 ([(0,3),(1,3),(3,2)],4)=>1 ([(0,3),(1,3),(2,3)],4)=>2 ([(0,3),(1,2)],4)=>1 ([(0,3),(1,2),(1,3)],4)=>1 ([(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)=>24 ([(3,4)],5)=>24 ([(2,3),(2,4)],5)=>12 ([(1,2),(1,3),(1,4)],5)=>8 ([(0,1),(0,2),(0,3),(0,4)],5)=>6 ([(0,2),(0,3),(0,4),(4,1)],5)=>6 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>3 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>2 ([(1,3),(1,4),(4,2)],5)=>8 ([(0,3),(0,4),(4,1),(4,2)],5)=>3 ([(1,2),(1,3),(2,4),(3,4)],5)=>4 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>1 ([(0,3),(0,4),(3,2),(4,1)],5)=>1 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>1 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>1 ([(2,3),(3,4)],5)=>12 ([(1,4),(4,2),(4,3)],5)=>4 ([(0,4),(4,1),(4,2),(4,3)],5)=>2 ([(2,4),(3,4)],5)=>12 ([(1,4),(2,4),(4,3)],5)=>4 ([(0,4),(1,4),(4,2),(4,3)],5)=>1 ([(1,4),(2,4),(3,4)],5)=>8 ([(0,4),(1,4),(2,4),(4,3)],5)=>2 ([(0,4),(1,4),(2,4),(3,4)],5)=>6 ([(0,4),(1,4),(2,3)],5)=>2 ([(0,4),(1,3),(2,3),(2,4)],5)=>2 ([(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)=>1 ([(0,4),(1,3),(2,3),(3,4)],5)=>3 ([(0,4),(1,4),(2,3),(2,4)],5)=>2 ([(0,4),(1,4),(2,3),(3,4)],5)=>6 ([(1,4),(2,3)],5)=>4 ([(1,4),(2,3),(2,4)],5)=>4 ([(0,4),(1,2),(1,4),(2,3)],5)=>3 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>1 ([(1,3),(1,4),(2,3),(2,4)],5)=>4 ([(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)=>1 ([(0,4),(1,2),(1,4),(4,3)],5)=>2 ([(0,4),(1,2),(1,3)],5)=>2 ([(0,4),(1,2),(1,3),(1,4)],5)=>2 ([(0,2),(0,4),(3,1),(4,3)],5)=>3 ([(0,4),(1,2),(1,3),(3,4)],5)=>5 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>2 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>3 ([(0,3),(0,4),(1,2),(1,4)],5)=>2 ([(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)=>3 ([(0,3),(1,2),(1,4),(3,4)],5)=>3 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>2 ([(1,4),(3,2),(4,3)],5)=>4 ([(0,3),(3,4),(4,1),(4,2)],5)=>1 ([(1,4),(2,3),(3,4)],5)=>8 ([(0,4),(1,2),(2,4),(4,3)],5)=>2 ([(0,3),(1,4),(4,2)],5)=>3 ([(0,4),(3,2),(4,1),(4,3)],5)=>2 ([(0,4),(1,2),(2,3),(2,4)],5)=>2 ([(0,4),(2,3),(3,1),(4,2)],5)=>1 ([(0,3),(1,2),(2,4),(3,4)],5)=>1 ([(0,4),(1,2),(2,3),(3,4)],5)=>3 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>1 ([],6)=>120 ([(4,5)],6)=>120 ([(3,4),(3,5)],6)=>60 ([(2,3),(2,4),(2,5)],6)=>40 ([(1,2),(1,3),(1,4),(1,5)],6)=>30 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>24 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>24 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>12 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>8 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>6 ([(1,3),(1,4),(1,5),(5,2)],6)=>30 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>12 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>15 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>10 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>2 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>2 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>2 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>2 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>3 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>4 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>4 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>4 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(2,3),(2,4),(4,5)],6)=>40 ([(1,4),(1,5),(5,2),(5,3)],6)=>15 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>8 ([(2,3),(2,4),(3,5),(4,5)],6)=>20 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>5 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>1 ([(1,4),(1,5),(4,3),(5,2)],6)=>5 ([(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)=>5 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>2 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>1 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>2 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>2 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>2 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>2 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>2 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(3,4),(4,5)],6)=>60 ([(2,3),(3,4),(3,5)],6)=>20 ([(1,5),(5,2),(5,3),(5,4)],6)=>10 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>6 ([(2,3),(3,5),(5,4)],6)=>20 ([(1,4),(4,5),(5,2),(5,3)],6)=>5 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>2 ([(3,5),(4,5)],6)=>60 ([(2,5),(3,5),(5,4)],6)=>20 ([(1,5),(2,5),(5,3),(5,4)],6)=>5 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>2 ([(2,5),(3,5),(4,5)],6)=>40 ([(1,5),(2,5),(3,5),(5,4)],6)=>10 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>2 ([(1,5),(2,5),(3,5),(4,5)],6)=>30 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>6 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>24 ([(0,5),(1,5),(2,5),(3,4)],6)=>6 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>2 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>8 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>6 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>24 ([(1,5),(2,5),(3,4)],6)=>10 ([(1,5),(2,4),(3,4),(3,5)],6)=>10 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>5 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>10 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>5 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>2 ([(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)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>2 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>4 ([(1,5),(2,5),(3,4),(5,3)],6)=>5 ([(1,5),(2,4),(3,4),(4,5)],6)=>15 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>3 ([(0,5),(1,5),(2,3),(5,4)],6)=>5 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>2 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>3 ([(1,5),(2,5),(3,4),(3,5)],6)=>10 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>4 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>8 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>2 ([(0,5),(1,5),(2,3),(2,4)],6)=>4 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>1 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>5 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>11 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>4 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>1 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>18 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>8 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>3 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>12 ([(1,5),(2,5),(3,4),(4,5)],6)=>30 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>6 ([(0,5),(1,5),(2,3),(3,4)],6)=>8 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>1 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>2 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>7 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>3 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>6 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>12 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>4 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>2 ([(0,5),(1,5),(2,4),(3,4)],6)=>6 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>6 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>6 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>4 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>1 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>12 ([(2,5),(3,4)],6)=>20 ([(2,5),(3,4),(3,5)],6)=>20 ([(1,5),(2,3),(2,5),(3,4)],6)=>15 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>5 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>1 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>1 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>1 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>1 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>1 ([(2,4),(2,5),(3,4),(3,5)],6)=>20 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>10 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>3 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>1 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>1 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>1 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>1 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>2 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>7 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>4 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>5 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>6 ([(1,5),(2,3),(2,5),(5,4)],6)=>10 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>3 ([(1,5),(2,3),(2,4)],6)=>10 ([(1,5),(2,3),(2,4),(2,5)],6)=>10 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>10 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>3 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>5 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>2 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>6 ([(0,5),(1,2),(1,3),(1,4)],6)=>6 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>6 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>12 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>18 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>8 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>11 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>6 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>8 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>8 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>5 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(1,3),(1,5),(4,2),(5,4)],6)=>15 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>4 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>3 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>3 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>1 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>3 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>3 ([(1,5),(2,3),(2,4),(4,5)],6)=>25 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>7 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>10 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>2 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>15 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>3 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>3 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>3 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>5 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>5 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>3 ([(0,4),(1,3),(1,5),(5,2)],6)=>10 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>8 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>7 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>3 ([(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)=>5 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>2 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>1 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>4 ([(1,4),(1,5),(2,3),(2,5)],6)=>10 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>10 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>6 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>3 ([(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)=>6 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>3 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>2 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>8 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>3 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>2 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>6 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>15 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>1 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>5 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>3 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>8 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>5 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>1 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>3 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>2 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>6 ([(0,4),(0,5),(1,2),(1,3)],6)=>6 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>6 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>6 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>10 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>5 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>6 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>6 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>6 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>8 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>8 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>5 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>10 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>7 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>2 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>2 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>5 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>3 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>1 ([(1,4),(2,3),(2,5),(4,5)],6)=>15 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>5 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>10 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>4 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>2 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>1 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>3 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>1 ([(0,5),(1,3),(1,4),(5,2)],6)=>8 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>4 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>3 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>5 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>4 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>5 ([(2,5),(3,4),(4,5)],6)=>40 ([(1,5),(2,3),(3,5),(5,4)],6)=>10 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>2 ([(1,3),(2,4),(4,5)],6)=>15 ([(1,5),(4,3),(5,2),(5,4)],6)=>10 ([(1,5),(2,3),(3,4),(3,5)],6)=>10 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>4 ([(0,4),(1,5),(5,2),(5,3)],6)=>5 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>6 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>4 ([(1,5),(3,4),(4,2),(5,3)],6)=>5 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>1 ([(1,4),(2,3),(3,5),(4,5)],6)=>5 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>1 ([(0,5),(1,4),(4,2),(5,3)],6)=>1 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>3 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>1 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>1 ([(1,5),(2,3),(3,4),(4,5)],6)=>15 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>5 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>1 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>3 ([(0,5),(1,4),(2,3)],6)=>4 ([(0,5),(1,3),(2,4),(2,5)],6)=>4 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>4 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>6 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>3 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>10 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>2 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>3 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>7 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>4 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>4 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>5 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>10 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>4 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>8 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>8 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>6 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>6 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>3 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>1 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>1 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>10 ([(0,5),(1,3),(4,2),(5,4)],6)=>6 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>1 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>5 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>2 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>2 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>3 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>1 ([(0,5),(1,3),(2,4),(4,5)],6)=>10 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>6 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>2 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>8 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>4 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>1 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>3 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>2 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>4 ([],7)=>720 ([(5,6)],7)=>720 ([(4,5),(4,6)],7)=>360 ([(3,4),(3,5),(3,6)],7)=>240 ([(2,3),(2,4),(2,5),(2,6)],7)=>180 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>144 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>120 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>120 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>60 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>40 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>30 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>24 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>144 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>60 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>72 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>48 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>36 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>6 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>6 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>6 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>8 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>10 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>10 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>10 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>10 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>10 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>10 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>6 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>6 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>6 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6 ([(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)=>6 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>12 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>15 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>20 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>20 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>20 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>20 ([(2,4),(2,5),(2,6),(6,3)],7)=>180 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>72 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>40 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>90 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>60 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>12 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>2 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>12 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>12 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>4 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>2 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>5 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>2 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>4 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>5 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>12 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>4 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>4 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>4 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>5 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>18 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>3 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>5 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>3 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>24 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>5 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>24 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>24 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>24 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>4 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>4 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>5 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>7 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>4 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>10 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>5 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>10 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>10 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>10 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>10 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>10 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>10 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>4 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>4 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>4 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>4 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>4 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(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)=>4 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>5 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>4 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>7 ([(3,4),(3,5),(5,6)],7)=>240 ([(2,5),(2,6),(6,3),(6,4)],7)=>90 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>48 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>30 ([(3,4),(3,5),(4,6),(5,6)],7)=>120 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>30 ([(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)=>2 ([(2,5),(2,6),(5,4),(6,3)],7)=>30 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>30 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>30 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>12 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>3 ([(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)=>1 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>1 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>1 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>1 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>12 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>3 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>12 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>12 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>6 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>6 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>6 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>12 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>12 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>6 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>3 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>2 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>6 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>6 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>6 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>6 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>6 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>6 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>6 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>6 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>60 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>12 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>2 ([(4,5),(5,6)],7)=>360 ([(3,4),(4,5),(4,6)],7)=>120 ([(2,6),(6,3),(6,4),(6,5)],7)=>60 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>36 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>24 ([(3,4),(4,6),(6,5)],7)=>120 ([(2,5),(5,6),(6,3),(6,4)],7)=>30 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>12 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>6 ([(4,6),(5,6)],7)=>360 ([(3,6),(4,6),(6,5)],7)=>120 ([(2,6),(3,6),(6,4),(6,5)],7)=>30 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>12 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>6 ([(3,6),(4,6),(5,6)],7)=>240 ([(2,6),(3,6),(4,6),(6,5)],7)=>60 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>12 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>4 ([(2,6),(3,6),(4,6),(5,6)],7)=>180 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>36 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>6 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>144 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>24 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>120 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>24 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>6 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>30 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>24 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>120 ([(1,6),(2,6),(3,6),(4,5)],7)=>36 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>12 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>48 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>14 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>4 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>8 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>36 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>12 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>30 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>6 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>12 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>2 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>14 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>8 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>84 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>60 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>144 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>24 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>30 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>2 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>8 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>6 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>24 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>20 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>5 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>2 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>60 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>24 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>24 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>24 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>24 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>24 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>24 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>10 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>40 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>24 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>24 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>20 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>5 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>2 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>60 ([(2,6),(3,6),(4,5)],7)=>60 ([(2,6),(3,5),(4,5),(4,6)],7)=>60 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>30 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>8 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>12 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>2 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>2 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>2 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>2 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>60 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>30 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>8 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>2 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>12 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>2 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>2 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>60 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>24 ([(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)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>4 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>30 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>30 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>24 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>24 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>6 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>12 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>9 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>2 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>5 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>22 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>4 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>10 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>6 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>18 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>12 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>34 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>12 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>18 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>30 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>30 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>24 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>34 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>12 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>9 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>22 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>5 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>10 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>12 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>12 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>18 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>34 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>34 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>24 ([(2,6),(3,6),(4,5),(6,4)],7)=>30 ([(2,6),(3,5),(4,5),(5,6)],7)=>90 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>18 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>3 ([(1,6),(2,6),(3,4),(6,5)],7)=>30 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>12 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>18 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>6 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>8 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>6 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>6 ([(2,6),(3,6),(4,5),(4,6)],7)=>60 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>24 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>6 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>48 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>12 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>2 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>14 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>20 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>8 ([(1,6),(2,6),(3,4),(3,5)],7)=>24 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>6 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>30 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>18 ([(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)=>8 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>14 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>3 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>8 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>6 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>24 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>30 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>6 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>16 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>12 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>2 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>14 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>8 ([(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)=>12 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>52 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>20 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>5 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>76 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>38 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>15 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>52 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>30 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>40 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>108 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>24 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>72 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>30 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>2 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>2 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>5 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>3 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>6 ([(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)=>15 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>24 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>13 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>11 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>13 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>5 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>5 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>13 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>3 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>3 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>2 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>5 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>4 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>5 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>2 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>13 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>5 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>18 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>23 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>11 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>40 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>15 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>8 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>16 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>1 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>5 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>20 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>52 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>19 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>10 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>5 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>2 ([(2,6),(3,6),(4,5),(5,6)],7)=>180 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>36 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>6 ([(1,6),(2,6),(3,4),(4,5)],7)=>48 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>6 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>12 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>2 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>2 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>3 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>2 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>36 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>12 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>18 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>6 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>14 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>1 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>2 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>24 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>12 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>32 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>14 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>8 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>20 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>10 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>6 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>24 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>4 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>6 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>1 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>72 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>12 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>20 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>1 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>8 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>9 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>3 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>12 ([(1,6),(2,6),(3,5),(4,5)],7)=>36 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>36 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>18 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>6 ([(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)=>18 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>6 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>12 ([(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)=>14 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>6 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>36 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>6 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>12 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>36 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>6 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>14 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>24 ([(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)=>4 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>1 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>72 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>12 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>18 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>9 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>3 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>12 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>6 ([(0,6),(1,6),(2,5),(3,4)],7)=>12 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>9 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>7 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>22 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>12 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>3 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>15 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>12 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>6 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>18 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>34 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>4 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>10 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>12 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>30 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>12 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>14 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>44 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>44 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>30 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>24 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>12 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>12 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>9 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>22 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>4 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>18 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>12 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>9 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>1 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>7 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>22 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>44 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>10 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>3 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>20 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>12 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>12 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(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)=>12 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>22 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>9 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>4 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>1 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>12 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>4 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>1 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>32 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>10 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>3 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>20 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>14 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>4 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>32 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>44 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>6 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>30 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>20 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>34 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>5 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>5 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>2 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>3 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>10 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>24 ([(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)=>2 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>40 ([(3,6),(4,5)],7)=>120 ([(3,6),(4,5),(4,6)],7)=>120 ([(2,6),(3,4),(3,6),(4,5)],7)=>90 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>30 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>14 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>2 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>2 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>2 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>6 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>6 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>2 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>2 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>2 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>2 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>30 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>6 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>1 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>6 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>6 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>2 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>2 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>36 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>18 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>3 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>4 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>2 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>4 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>9 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>3 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>3 ([(3,5),(3,6),(4,5),(4,6)],7)=>120 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>60 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>8 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>30 ([(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)=>6 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>6 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>24 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>24 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>16 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>8 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>6 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>4 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>24 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>16 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>8 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>4 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>6 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>12 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>14 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>3 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>42 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>12 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>24 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>4 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>4 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>4 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>10 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>5 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>8 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>4 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>12 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>30 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>2 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>8 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>8 ([(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)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>4 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>48 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>20 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>6 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>16 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>8 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>4 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>12 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>14 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>30 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>16 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>14 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>5 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>30 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>24 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>8 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>3 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>8 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>48 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>2 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>8 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>36 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>20 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>4 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>10 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>20 ([(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)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>12 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>4 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>2 ([(2,6),(3,4),(3,6),(6,5)],7)=>60 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>18 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>8 ([(2,6),(3,4),(3,5)],7)=>60 ([(2,6),(3,4),(3,5),(3,6)],7)=>60 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>60 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>22 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>4 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>4 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>18 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>4 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>4 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>4 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>30 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>12 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>2 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>2 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>2 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>9 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>5 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>8 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>8 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>2 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>2 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>8 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>2 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>2 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>2 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>36 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>12 ([(1,6),(2,3),(2,4),(2,5)],7)=>36 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>36 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>44 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>12 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>22 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>8 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>14 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>6 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>24 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>24 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>24 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>60 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>84 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>40 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>52 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>30 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>38 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>24 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>30 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>30 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>18 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>14 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>12 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>72 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>20 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>108 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>32 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>48 ([(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)=>66 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>14 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>36 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>6 ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>48 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>8 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>8 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>11 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>18 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>8 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>14 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>23 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>25 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>14
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Description
The leading coefficient of the Poincare polynomial of the poset cone.
For a poset $P$ on $\{1,\dots,n\}$, let $\mathcal K_P = \{\vec x\in\mathbb R^n| x_i < x_j \text{ for } i < _P j\}$. Furthermore let $\mathcal L(\mathcal A)$ be the intersection lattice of the braid arrangement $A_{n-1}$ and let $\mathcal L^{int} = \{ X \in \mathcal L(\mathcal A) | X \cap \mathcal K_P \neq \emptyset \}$.
Then the Poincare polynomial of the poset cone is $Poin(t) = \sum_{X\in\mathcal L^{int}} |\mu(0, X)| t^{codim X}$.
This statistic records its leading coefficient.
References
[1] Dorpalen-Barry, G., Kim, J. S., Reiner, V. Whitney Numbers for Poset Cones arXiv:1906.00036
Code
# code by Jang Soo Kim
def delete_elements(P,A):
    "Return the poset obtained from P by deleting the elements in A"
    elms = [x for x in  P.list() if x not in A]
    rels = [R for R in P.relations() if R[0] not in A and R[1] not in A]
    return Poset([elms,rels], cover_relations=False)

def add_bottom(P):
    "Return the poset obtained from P by adding the minimum element 0."
    elms = ["zero_hat"] + P.list()
    rels = [["zero_hat",x] for x in P.list()] + P.relations()
    return Poset([elms,rels], cover_relations=False)

def Poin(P,t,omega=0):
    """
    Input:

    P: a poset or a list of numbers [a,b,c,...].
    If P = [a,b,c,...], then P is set to be the cell poset of the partition [a,b,c,...].

    t: a variable

    omega: a labeling of P which is given by default to the first lin ext of P.

    Output: The Poincare polynomial of the poset P.
    The bijection from linear extensions to P-transverse permutations is used.
    """
    if type(P) == list:
        P = Partition(P).cell_poset().dual()
    if omega == 0:
        omega = P.linear_extensions()[0]
    poly = 0
    for L in P.linear_extensions():
        poly += t^(len(P)-len(get_P_transverse_permutation(P,omega,L)))
    return poly

def get_P_transverse_permutation(P,omega,L):
    """
    Input:
    P: a poset
    omega: a labeling of P
    L: a linear extension of P

    Output: The P-transverse permutation corresponding to L with respect to omega.
    """
    Q = add_bottom(P)
    pi = []
    while len(L)>0:
        N = next_level(Q,P,omega,L)
        pi = pi + N[-1]
        [Q, P, omega, L] = N[:-1]
    return pi

def next_level(Q,P,omega,L):
    """
    INPUT: Q,P,omega,L
    Q: poset containing P
    omega: labeling
    L: a linear extension of P

    OUTPUT: [Q1, P1, omega, L1, pi]
    Q1 = P
    P1 = P - minimal blocks
    omega = omega
    L1 = L restricted to P1
    pi = P-transverse permutation of the minimal blocks in P.
    """
    L1 = L
    pi = []
    C = []   # the list of current level elements in P
    D = []   # the list of current level elements in P that are not minimal in Q
    B = []
    for x in L:
        if x not in P.minimal_elements():  # If x is not a minimal element in P this level is done.
            break
        C.append(x)
        if x not in Q.minimal_elements():
            D.append(x)
            if omega.index(x) == min([omega.index(d) for d in D]):
                if len(B)>0:
                    pi.append(B)
                B = [x]
        else:
            B.append(x)
    pi.append(B)
    Q1 = P
    P1 = delete_elements(P,C)
    L1 = L[len(C):]
    return [Q1, P1, omega, L1, pi]

statistic = lambda P: Poin(P, QQ["q"].gen()).leading_coefficient()
Created
May 03, 2020 at 17:31 by Martin Rubey
Updated
May 03, 2020 at 17:47 by Martin Rubey