Identifier
Values
=>
Cc0014;cc-rep
([],2)=>2 ([(0,1)],2)=>1 ([],3)=>6 ([(1,2)],3)=>2 ([(0,1),(0,2)],3)=>2 ([(0,2),(2,1)],3)=>1 ([(0,2),(1,2)],3)=>2 ([],4)=>24 ([(2,3)],4)=>6 ([(1,2),(1,3)],4)=>6 ([(0,1),(0,2),(0,3)],4)=>6 ([(0,2),(0,3),(3,1)],4)=>2 ([(0,1),(0,2),(1,3),(2,3)],4)=>2 ([(1,2),(2,3)],4)=>2 ([(0,3),(3,1),(3,2)],4)=>2 ([(1,3),(2,3)],4)=>6 ([(0,3),(1,3),(3,2)],4)=>2 ([(0,3),(1,3),(2,3)],4)=>6 ([(0,3),(1,2)],4)=>2 ([(0,3),(1,2),(1,3)],4)=>3 ([(0,2),(0,3),(1,2),(1,3)],4)=>4 ([(0,3),(2,1),(3,2)],4)=>1 ([(0,3),(1,2),(2,3)],4)=>2 ([],5)=>120 ([(3,4)],5)=>24 ([(2,3),(2,4)],5)=>24 ([(1,2),(1,3),(1,4)],5)=>24 ([(0,1),(0,2),(0,3),(0,4)],5)=>24 ([(0,2),(0,3),(0,4),(4,1)],5)=>6 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>6 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>6 ([(1,3),(1,4),(4,2)],5)=>6 ([(0,3),(0,4),(4,1),(4,2)],5)=>6 ([(1,2),(1,3),(2,4),(3,4)],5)=>6 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>2 ([(0,3),(0,4),(3,2),(4,1)],5)=>2 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>3 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>4 ([(2,3),(3,4)],5)=>6 ([(1,4),(4,2),(4,3)],5)=>6 ([(0,4),(4,1),(4,2),(4,3)],5)=>6 ([(2,4),(3,4)],5)=>24 ([(1,4),(2,4),(4,3)],5)=>6 ([(0,4),(1,4),(4,2),(4,3)],5)=>4 ([(1,4),(2,4),(3,4)],5)=>24 ([(0,4),(1,4),(2,4),(4,3)],5)=>6 ([(0,4),(1,4),(2,4),(3,4)],5)=>24 ([(0,4),(1,4),(2,3)],5)=>6 ([(0,4),(1,3),(2,3),(2,4)],5)=>8 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>10 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>12 ([(0,4),(1,4),(2,3),(4,2)],5)=>2 ([(0,4),(1,3),(2,3),(3,4)],5)=>6 ([(0,4),(1,4),(2,3),(2,4)],5)=>8 ([(0,4),(1,4),(2,3),(3,4)],5)=>6 ([(1,4),(2,3)],5)=>6 ([(1,4),(2,3),(2,4)],5)=>11 ([(0,4),(1,2),(1,4),(2,3)],5)=>3 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>3 ([(1,3),(1,4),(2,3),(2,4)],5)=>16 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>4 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>4 ([(0,4),(1,2),(1,4),(4,3)],5)=>3 ([(0,4),(1,2),(1,3)],5)=>6 ([(0,4),(1,2),(1,3),(1,4)],5)=>10 ([(0,2),(0,4),(3,1),(4,3)],5)=>2 ([(0,4),(1,2),(1,3),(3,4)],5)=>6 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>2 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>6 ([(0,3),(0,4),(1,2),(1,4)],5)=>4 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>8 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>12 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>4 ([(0,3),(1,2),(1,4),(3,4)],5)=>3 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>4 ([(1,4),(3,2),(4,3)],5)=>2 ([(0,3),(3,4),(4,1),(4,2)],5)=>2 ([(1,4),(2,3),(3,4)],5)=>6 ([(0,4),(1,2),(2,4),(4,3)],5)=>2 ([(0,3),(1,4),(4,2)],5)=>2 ([(0,4),(3,2),(4,1),(4,3)],5)=>2 ([(0,4),(1,2),(2,3),(2,4)],5)=>3 ([(0,4),(2,3),(3,1),(4,2)],5)=>1 ([(0,3),(1,2),(2,4),(3,4)],5)=>2 ([(0,4),(1,2),(2,3),(3,4)],5)=>2 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>2 ([],6)=>720 ([(4,5)],6)=>120 ([(3,4),(3,5)],6)=>120 ([(2,3),(2,4),(2,5)],6)=>120 ([(1,2),(1,3),(1,4),(1,5)],6)=>120 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>120 ([(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)=>24 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>24 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>24 ([(1,3),(1,4),(1,5),(5,2)],6)=>24 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>24 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>24 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>24 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>6 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>6 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>8 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>10 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>12 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>8 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>6 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>6 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>6 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>11 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>16 ([(2,3),(2,4),(4,5)],6)=>24 ([(1,4),(1,5),(5,2),(5,3)],6)=>24 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>24 ([(2,3),(2,4),(3,5),(4,5)],6)=>24 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>6 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>4 ([(1,4),(1,5),(4,3),(5,2)],6)=>6 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>11 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>16 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>4 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>4 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>3 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>6 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>10 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>4 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>8 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>12 ([(3,4),(4,5)],6)=>24 ([(2,3),(3,4),(3,5)],6)=>24 ([(1,5),(5,2),(5,3),(5,4)],6)=>24 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>24 ([(2,3),(3,5),(5,4)],6)=>6 ([(1,4),(4,5),(5,2),(5,3)],6)=>6 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>6 ([(3,5),(4,5)],6)=>120 ([(2,5),(3,5),(5,4)],6)=>24 ([(1,5),(2,5),(5,3),(5,4)],6)=>16 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>12 ([(2,5),(3,5),(4,5)],6)=>120 ([(1,5),(2,5),(3,5),(5,4)],6)=>24 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>12 ([(1,5),(2,5),(3,5),(4,5)],6)=>120 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>24 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>120 ([(0,5),(1,5),(2,5),(3,4)],6)=>24 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>6 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>24 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>30 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>24 ([(1,5),(2,5),(3,4)],6)=>24 ([(1,5),(2,4),(3,4),(3,5)],6)=>36 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>8 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>8 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>48 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>10 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>10 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>60 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>12 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>12 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>10 ([(1,5),(2,5),(3,4),(5,3)],6)=>6 ([(1,5),(2,4),(3,4),(4,5)],6)=>24 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>6 ([(0,5),(1,5),(2,3),(5,4)],6)=>6 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>4 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>10 ([(1,5),(2,5),(3,4),(3,5)],6)=>36 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>8 ([(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)=>8 ([(0,5),(1,5),(2,3),(2,4)],6)=>24 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>4 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>8 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>12 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>32 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>6 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>2 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>24 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>6 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>24 ([(1,5),(2,5),(3,4),(4,5)],6)=>24 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>6 ([(0,5),(1,5),(2,3),(3,4)],6)=>6 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>2 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>6 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>6 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>6 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>8 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>6 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>6 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>6 ([(0,5),(1,5),(2,4),(3,4)],6)=>24 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>30 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>36 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>36 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>42 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>48 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>6 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>4 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>24 ([(2,5),(3,4)],6)=>24 ([(2,5),(3,4),(3,5)],6)=>52 ([(1,5),(2,3),(2,5),(3,4)],6)=>11 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>10 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>4 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>6 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>11 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>3 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>3 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>5 ([(2,4),(2,5),(3,4),(3,5)],6)=>80 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>16 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>12 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>16 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>6 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>16 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>4 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>16 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>16 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>12 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>20 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>12 ([(1,5),(2,3),(2,5),(5,4)],6)=>11 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>8 ([(1,5),(2,3),(2,4)],6)=>24 ([(1,5),(2,3),(2,4),(2,5)],6)=>46 ([(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)=>10 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>10 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>10 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>10 ([(0,5),(1,2),(1,3),(1,4)],6)=>24 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>42 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>6 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>24 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>6 ([(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)=>6 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>24 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>10 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>8 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>12 ([(1,3),(1,5),(4,2),(5,4)],6)=>6 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>6 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>2 ([(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)=>3 ([(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)=>4 ([(1,5),(2,3),(2,4),(4,5)],6)=>24 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>6 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>6 ([(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)=>24 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>6 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>6 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>8 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>10 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>6 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>6 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>8 ([(0,4),(1,3),(1,5),(5,2)],6)=>6 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>6 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>11 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>6 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>2 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>6 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>2 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>6 ([(1,4),(1,5),(2,3),(2,5)],6)=>16 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>38 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>8 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>8 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>60 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>12 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>12 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>12 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>8 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>8 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>8 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>4 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>16 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>4 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>4 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>4 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>4 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>4 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>8 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>5 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>4 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>4 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>4 ([(0,4),(0,5),(1,2),(1,3)],6)=>24 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>18 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>36 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>15 ([(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)=>12 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>30 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>48 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>12 ([(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)=>12 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>11 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>16 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>4 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>3 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>8 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>8 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>10 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>12 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>4 ([(1,4),(2,3),(2,5),(4,5)],6)=>11 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>3 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>16 ([(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)=>4 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>3 ([(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)=>4 ([(0,5),(1,3),(1,4),(5,2)],6)=>6 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>2 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>6 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>4 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>8 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>4 ([(2,5),(3,4),(4,5)],6)=>24 ([(1,5),(2,3),(3,5),(5,4)],6)=>6 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>4 ([(1,3),(2,4),(4,5)],6)=>6 ([(1,5),(4,3),(5,2),(5,4)],6)=>6 ([(1,5),(2,3),(3,4),(3,5)],6)=>11 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>3 ([(0,4),(1,5),(5,2),(5,3)],6)=>6 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>6 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>10 ([(1,5),(3,4),(4,2),(5,3)],6)=>2 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>2 ([(1,4),(2,3),(3,5),(4,5)],6)=>6 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>2 ([(0,5),(1,4),(4,2),(5,3)],6)=>2 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>2 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>3 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(1,5),(2,3),(3,4),(4,5)],6)=>6 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>6 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>2 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>2 ([(0,5),(1,4),(2,3)],6)=>6 ([(0,5),(1,3),(2,4),(2,5)],6)=>11 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>22 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>3 ([(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)=>11 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>3 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>11 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>3 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>11 ([(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)=>24 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>32 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>12 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>20 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>28 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>36 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>10 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>21 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>13 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>10 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>10 ([(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)=>10 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>3 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>4 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>4 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>3 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>8 ([(0,5),(1,3),(4,2),(5,4)],6)=>2 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>2 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>3 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>3 ([(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)=>6 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>8 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>2 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>6 ([(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)=>2 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>2 ([(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)=>6 ([],7)=>5040 ([(5,6)],7)=>720 ([(4,5),(4,6)],7)=>720 ([(3,4),(3,5),(3,6)],7)=>720 ([(2,3),(2,4),(2,5),(2,6)],7)=>720 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>720 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>720 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>120 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>120 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>120 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>120 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>120 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>120 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>120 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>120 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>120 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>120 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>24 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>24 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>30 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>24 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>24 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>24 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>36 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>48 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>60 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>36 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>24 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>30 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>36 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>36 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>42 ([(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)=>48 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>24 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>24 ([(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)=>24 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>52 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>80 ([(2,4),(2,5),(2,6),(6,3)],7)=>120 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>120 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>120 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>120 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>120 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>24 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>12 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>24 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>36 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>48 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>60 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>12 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>12 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>10 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>10 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>10 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>8 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>8 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>36 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>8 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>24 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>32 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>8 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>24 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>6 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>6 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>10 ([(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)=>16 ([(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)=>52 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>80 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>16 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>12 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>20 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>12 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>16 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>16 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>16 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>16 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>11 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>24 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>46 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>16 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>38 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>60 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>6 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>11 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>22 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>13 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>24 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>32 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>12 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>20 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>28 ([(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)=>36 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>21 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>10 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>10 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>11 ([(3,4),(3,5),(5,6)],7)=>120 ([(2,5),(2,6),(6,3),(6,4)],7)=>120 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>120 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>120 ([(3,4),(3,5),(4,6),(5,6)],7)=>120 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>24 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>16 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>12 ([(2,5),(2,6),(5,4),(6,3)],7)=>24 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>52 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>80 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>16 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>12 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>16 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>4 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>4 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>6 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>8 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>11 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>8 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>24 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>46 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>10 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>24 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>42 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>16 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>38 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>60 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>12 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>12 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>12 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>8 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>8 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>4 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>24 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>18 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>36 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>12 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>30 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>48 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>24 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>6 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>4 ([(4,5),(5,6)],7)=>120 ([(3,4),(4,5),(4,6)],7)=>120 ([(2,6),(6,3),(6,4),(6,5)],7)=>120 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>120 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>120 ([(3,4),(4,6),(6,5)],7)=>24 ([(2,5),(5,6),(6,3),(6,4)],7)=>24 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>24 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>24 ([(4,6),(5,6)],7)=>720 ([(3,6),(4,6),(6,5)],7)=>120 ([(2,6),(3,6),(6,4),(6,5)],7)=>80 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>60 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>48 ([(3,6),(4,6),(5,6)],7)=>720 ([(2,6),(3,6),(4,6),(6,5)],7)=>120 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>60 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>36 ([(2,6),(3,6),(4,6),(5,6)],7)=>720 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>120 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>48 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>720 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>120 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>720 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>120 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>24 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>120 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>144 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>120 ([(1,6),(2,6),(3,6),(4,5)],7)=>120 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>24 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>120 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>24 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>12 ([(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)=>162 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>30 ([(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)=>30 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>120 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>12 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>30 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>48 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>144 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>120 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>120 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>120 ([(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)=>24 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>6 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>24 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>24 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>30 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>6 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>6 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>6 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>24 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>120 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>144 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>168 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>192 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>192 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>216 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>240 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>24 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>12 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>120 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>144 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>168 ([(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)=>16 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>12 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>120 ([(2,6),(3,6),(4,5)],7)=>120 ([(2,6),(3,5),(4,5),(4,6)],7)=>200 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>36 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>24 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>36 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>8 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>8 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>12 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>16 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>280 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>48 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>32 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>14 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>20 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>48 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>10 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>16 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>360 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>60 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>36 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>60 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>24 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>60 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>60 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>12 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>60 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>72 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>42 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>48 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>48 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>28 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>48 ([(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)=>10 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>10 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>48 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>10 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>48 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>10 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>48 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>48 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>72 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>48 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>42 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>42 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>36 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>36 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>36 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>72 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>8 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>36 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>8 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>36 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>42 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>48 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>78 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>102 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>72 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>36 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>72 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>42 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>30 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>36 ([(2,6),(3,6),(4,5),(6,4)],7)=>24 ([(2,6),(3,5),(4,5),(5,6)],7)=>120 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>24 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>12 ([(1,6),(2,6),(3,4),(6,5)],7)=>24 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>16 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>48 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>10 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>16 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>12 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>32 ([(2,6),(3,6),(4,5),(4,6)],7)=>200 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>36 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>20 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>36 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>36 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>8 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>14 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>32 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>10 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>16 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>8 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>8 ([(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)=>120 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>16 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>36 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>60 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>12 ([(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)=>24 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>12 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>12 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>28 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>172 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>32 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>32 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>32 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>32 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>32 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>120 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>12 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>32 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>20 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>36 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>156 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>24 ([(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)=>6 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>120 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>24 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>24 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>6 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>120 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>24 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>24 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>120 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>120 ([(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)=>120 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>24 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>24 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>4 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>8 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>12 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>8 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>12 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>24 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>24 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>24 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>36 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>6 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>6 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>8 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>8 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>12 ([(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)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>4 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>4 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>10 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>10 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>11 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>11 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>24 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>24 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>24 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>24 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>30 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>24 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>24 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>24 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>24 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>4 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>24 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>30 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>36 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 ([(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)=>24 ([(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)=>24 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>6 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>6 ([(2,6),(3,6),(4,5),(5,6)],7)=>120 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>24 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>12 ([(1,6),(2,6),(3,4),(4,5)],7)=>24 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>6 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>24 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>6 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>6 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>4 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>10 ([(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)=>8 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>8 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>8 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>24 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>4 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>8 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(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)=>24 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>32 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>24 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>24 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>24 ([(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)=>24 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>24 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>6 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>2 ([(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)=>2 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>24 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>6 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>6 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>2 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>6 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>6 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>6 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>8 ([(1,6),(2,6),(3,5),(4,5)],7)=>120 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>162 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>30 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>30 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>204 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>36 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>36 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>36 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>204 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>36 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>36 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>246 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>42 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>42 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>288 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>48 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>48 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>30 ([(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)=>16 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>6 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>4 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>120 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>24 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>24 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>16 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>12 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>36 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>24 ([(0,6),(1,6),(2,5),(3,4)],7)=>24 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>6 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>4 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>10 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>24 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>36 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>6 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>24 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>36 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>8 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>36 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>36 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>8 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>36 ([(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)=>36 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>58 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>36 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>82 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>58 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>30 ([(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)=>36 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>52 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>48 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>78 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>108 ([(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)=>42 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>10 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>30 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>42 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>8 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>6 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>12 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>30 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>82 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>52 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>11 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>8 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>52 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>80 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>54 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>84 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>108 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>132 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>42 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>48 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>48 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>48 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>72 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>96 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>72 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>96 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>120 ([(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)=>144 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>54 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>12 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>12 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>8 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>36 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>48 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>104 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>128 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>12 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>8 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>80 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>16 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>12 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>80 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>11 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>8 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>52 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>24 ([(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)=>24 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>24 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>24 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>6 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>6 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>4 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>10 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>24 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>30 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>6 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>4 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>24 ([(3,6),(4,5)],7)=>120 ([(3,6),(4,5),(4,6)],7)=>300 ([(2,6),(3,4),(3,6),(4,5)],7)=>52 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>46 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>42 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>14 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>10 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>18 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>17 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>28 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>4 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>10 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>6 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>14 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>52 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>11 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>6 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>11 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>22 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>8 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>16 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>11 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>11 ([(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)=>3 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>5 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>5 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>10 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>4 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>6 ([(3,5),(3,6),(4,5),(4,6)],7)=>480 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>80 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>60 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>48 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>80 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>16 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>16 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>28 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>40 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>20 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>24 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>80 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>132 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>24 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>24 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>24 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>24 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>184 ([(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)=>32 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>32 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>32 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>32 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>24 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>6 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>80 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>16 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>80 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>16 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>16 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>22 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>16 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>16 ([(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)=>12 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>12 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>34 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>16 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>22 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>28 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>60 ([(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)=>60 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>12 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>12 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>12 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>28 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>16 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>112 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>20 ([(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)=>20 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>20 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>60 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>12 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>12 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>80 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>26 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>44 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>20 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>20 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>26 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>32 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>68 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>20 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>36 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>104 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>56 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>44 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>16 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>16 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>48 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>60 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>12 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>12 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>10 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>36 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>36 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>42 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>48 ([(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)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>10 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>10 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>60 ([(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)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>16 ([(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)=>4 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>16 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>16 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>16 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>12 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>10 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>10 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>10 ([(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)=>12 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>12 ([(2,6),(3,4),(3,6),(6,5)],7)=>52 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>38 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>30 ([(2,6),(3,4),(3,5)],7)=>120 ([(2,6),(3,4),(3,5),(3,6)],7)=>260 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>46 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>42 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>16 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>26 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>46 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>10 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>10 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>20 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>46 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>46 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>10 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>10 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>14 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>10 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>10 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>10 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>19 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>13 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>13 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>28 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>16 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>20 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>10 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>14 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>46 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>36 ([(1,6),(2,3),(2,4),(2,5)],7)=>120 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>234 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>42 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>42 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>42 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>42 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>42 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>42 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>42 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>120 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>216 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>24 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>120 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>24 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>120 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>24 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>120 ([(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)=>120 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>42 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>36 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>30 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>48 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>24 ([(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)=>120 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>24 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>24 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>6 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>120 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>24 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>24 ([(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)=>120 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>24 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>24 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>24 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>24 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>30 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>24 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>24 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>24 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>36 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>6
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Description
The number of greedy linear extensions of a poset.
A linear extension of a poset $P$ with elements $\{x_1,\dots,x_n\}$ is greedy, if it can be obtained by the following algorithm:
  • Step 1. Choose a minimal element $x_1$.
  • Step 2. Suppose $X=\{x_1,\dots,x_i\}$ have been chosen. If there is at least one minimal element of $P\setminus X$ which is greater than $x_i$ then choose $x_{i+1}$ to be any such minimal element; otherwise, choose $x_{i+1}$ to be any minimal element of $P\setminus X$.
This statistic records the number of greedy linear extensions.
References
[1] Brualdi, R. A., Jung, H. C., Trotter, Jr., W. T. On the poset of all posets on $n$ elements MathSciNet:1275415
Code
def statistic(P):
    return sum(1 for i in P._hasse_diagram.greedy_linear_extensions_iterator())

Created
Feb 15, 2018 at 21:19 by Martin Rubey
Updated
Feb 15, 2018 at 21:19 by Martin Rubey