Values
=>
Cc0014;cc-rep
([],1)=>0
([],2)=>2
([(0,1)],2)=>0
([],3)=>6
([(1,2)],3)=>2
([(0,1),(0,2)],3)=>2
([(0,2),(2,1)],3)=>0
([(0,2),(1,2)],3)=>2
([],4)=>12
([(2,3)],4)=>6
([(1,2),(1,3)],4)=>5
([(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)=>5
([(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)=>0
([(0,3),(1,2),(2,3)],4)=>2
([],5)=>20
([(3,4)],5)=>12
([(2,3),(2,4)],5)=>10
([(1,2),(1,3),(1,4)],5)=>10
([(0,1),(0,2),(0,3),(0,4)],5)=>12
([(0,2),(0,3),(0,4),(4,1)],5)=>6
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>5
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>6
([(1,3),(1,4),(4,2)],5)=>5
([(0,3),(0,4),(4,1),(4,2)],5)=>5
([(1,2),(1,3),(2,4),(3,4)],5)=>4
([(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)=>5
([(0,4),(4,1),(4,2),(4,3)],5)=>6
([(2,4),(3,4)],5)=>10
([(1,4),(2,4),(4,3)],5)=>5
([(0,4),(1,4),(4,2),(4,3)],5)=>4
([(1,4),(2,4),(3,4)],5)=>10
([(0,4),(1,4),(2,4),(4,3)],5)=>6
([(0,4),(1,4),(2,4),(3,4)],5)=>12
([(0,4),(1,4),(2,3)],5)=>5
([(0,4),(1,3),(2,3),(2,4)],5)=>4
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>6
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>8
([(0,4),(1,4),(2,3),(4,2)],5)=>2
([(0,4),(1,3),(2,3),(3,4)],5)=>5
([(0,4),(1,4),(2,3),(2,4)],5)=>7
([(0,4),(1,4),(2,3),(3,4)],5)=>6
([(1,4),(2,3)],5)=>6
([(1,4),(2,3),(2,4)],5)=>7
([(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)=>8
([(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)=>5
([(0,4),(1,2),(1,3),(1,4)],5)=>7
([(0,2),(0,4),(3,1),(4,3)],5)=>2
([(0,4),(1,2),(1,3),(3,4)],5)=>5
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>2
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>5
([(0,3),(0,4),(1,2),(1,4)],5)=>4
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>6
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>8
([(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)=>5
([(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)=>0
([(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)=>30
([(4,5)],6)=>20
([(3,4),(3,5)],6)=>17
([(2,3),(2,4),(2,5)],6)=>16
([(1,2),(1,3),(1,4),(1,5)],6)=>17
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>20
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>12
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>10
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>10
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>12
([(1,3),(1,4),(1,5),(5,2)],6)=>10
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>10
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>8
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>8
([(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)=>5
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>4
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>7
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>5
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>5
([(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)=>7
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(2,3),(2,4),(4,5)],6)=>10
([(1,4),(1,5),(5,2),(5,3)],6)=>9
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>10
([(2,3),(2,4),(3,5),(4,5)],6)=>8
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>4
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>4
([(1,4),(1,5),(4,3),(5,2)],6)=>5
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>6
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>7
([(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)=>5
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>7
([(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)=>6
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>8
([(3,4),(4,5)],6)=>12
([(2,3),(3,4),(3,5)],6)=>10
([(1,5),(5,2),(5,3),(5,4)],6)=>10
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>12
([(2,3),(3,5),(5,4)],6)=>6
([(1,4),(4,5),(5,2),(5,3)],6)=>5
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>6
([(3,5),(4,5)],6)=>17
([(2,5),(3,5),(5,4)],6)=>10
([(1,5),(2,5),(5,3),(5,4)],6)=>8
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>8
([(2,5),(3,5),(4,5)],6)=>16
([(1,5),(2,5),(3,5),(5,4)],6)=>10
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>8
([(1,5),(2,5),(3,5),(4,5)],6)=>17
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>12
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>20
([(0,5),(1,5),(2,5),(3,4)],6)=>10
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>6
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>10
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>13
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>12
([(1,5),(2,5),(3,4)],6)=>10
([(1,5),(2,4),(3,4),(3,5)],6)=>9
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>4
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>4
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>11
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>6
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>6
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>13
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>8
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>8
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>6
([(1,5),(2,5),(3,4),(5,3)],6)=>5
([(1,5),(2,4),(3,4),(4,5)],6)=>9
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>5
([(0,5),(1,5),(2,3),(5,4)],6)=>5
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>4
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>6
([(1,5),(2,5),(3,4),(3,5)],6)=>12
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>7
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>7
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>7
([(0,5),(1,5),(2,3),(2,4)],6)=>9
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>4
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>6
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>7
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>12
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>5
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>4
([(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)=>10
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>5
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>5
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>10
([(1,5),(2,5),(3,4),(4,5)],6)=>10
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>6
([(0,5),(1,5),(2,3),(3,4)],6)=>5
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>2
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>5
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>5
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>5
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>7
([(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)=>5
([(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)=>8
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>8
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>11
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>11
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>14
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>5
([(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)=>10
([(2,5),(3,4)],6)=>12
([(2,5),(3,4),(3,5)],6)=>13
([(1,5),(2,3),(2,5),(3,4)],6)=>7
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>6
([(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)=>5
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>6
([(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)=>4
([(2,4),(2,5),(3,4),(3,5)],6)=>14
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>8
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>7
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>7
([(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)=>5
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>6
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>8
([(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)=>8
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>8
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>7
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>7
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>10
([(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)=>6
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>8
([(1,5),(2,3),(2,5),(5,4)],6)=>7
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>6
([(1,5),(2,3),(2,4)],6)=>10
([(1,5),(2,3),(2,4),(2,5)],6)=>12
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>7
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>6
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>6
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>7
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>7
([(0,5),(1,2),(1,3),(1,4)],6)=>10
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>13
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>6
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>10
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>5
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>9
([(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)=>10
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>7
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>6
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>8
([(1,3),(1,5),(4,2),(5,4)],6)=>5
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>5
([(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)=>9
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>5
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>4
([(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)=>8
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>5
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>5
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>4
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
([(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)=>6
([(0,4),(1,3),(1,5),(5,2)],6)=>5
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>5
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>7
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>5
([(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)=>4
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>5
([(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)=>4
([(1,4),(1,5),(2,3),(2,5)],6)=>9
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>11
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>6
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>5
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>13
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>8
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>7
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>8
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>6
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>6
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>6
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>4
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>8
([(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)=>5
([(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)=>5
([(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)=>8
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>8
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>11
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>8
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>8
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>8
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>11
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>14
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>8
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>6
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>7
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>8
([(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)=>6
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>5
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>7
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>4
([(1,4),(2,3),(2,5),(4,5)],6)=>7
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>3
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>8
([(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)=>5
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>2
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>5
([(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)=>6
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>4
([(2,5),(3,4),(4,5)],6)=>10
([(1,5),(2,3),(3,5),(5,4)],6)=>5
([(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)=>5
([(1,5),(2,3),(3,4),(3,5)],6)=>7
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>3
([(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)=>7
([(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)=>5
([(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)=>5
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>4
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>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)=>7
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>8
([(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)=>6
([(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)=>7
([(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)=>6
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>7
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>10
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>9
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>12
([(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)=>9
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>8
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>8
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>6
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>4
([(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)=>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)=>7
([(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)=>0
([(0,5),(1,3),(2,4),(4,5)],6)=>5
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>4
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>2
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>5
([(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)=>42
([(5,6)],7)=>30
([(4,5),(4,6)],7)=>26
([(3,4),(3,5),(3,6)],7)=>24
([(2,3),(2,4),(2,5),(2,6)],7)=>24
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>26
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>30
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>20
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>17
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>16
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>17
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>20
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>17
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>17
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>14
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>13
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>14
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>12
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>10
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>13
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>10
([(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)=>9
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>13
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>12
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>8
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>8
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>8
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11
([(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)=>14
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>10
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>9
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>10
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>12
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>13
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>14
([(2,4),(2,5),(2,6),(6,3)],7)=>16
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>15
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>16
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>13
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>12
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>8
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>8
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>8
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>7
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>9
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>8
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>8
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>6
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>6
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>6
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>4
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>4
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>10
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>7
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>9
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>12
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>6
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>7
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>5
([(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)=>6
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>8
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>8
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>10
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>11
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>12
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>8
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>7
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>10
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>7
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>8
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>8
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>7
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>7
([(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)=>12
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>9
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>11
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>13
([(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)=>7
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>8
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>6
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>10
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>6
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9
([(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)=>12
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>9
([(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)=>8
([(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)=>17
([(2,5),(2,6),(6,3),(6,4)],7)=>15
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>15
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>17
([(3,4),(3,5),(4,6),(5,6)],7)=>14
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>8
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>7
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>8
([(2,5),(2,6),(5,4),(6,3)],7)=>10
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>12
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>7
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>7
([(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)=>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)=>5
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>6
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>6
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>6
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>9
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>11
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>7
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>10
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>13
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>8
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>10
([(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)=>8
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>7
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>8
([(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)=>5
([(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)=>8
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>8
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>11
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>8
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>11
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>14
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>8
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>4
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>4
([(4,5),(5,6)],7)=>20
([(3,4),(4,5),(4,6)],7)=>17
([(2,6),(6,3),(6,4),(6,5)],7)=>16
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>17
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>20
([(3,4),(4,6),(6,5)],7)=>12
([(2,5),(5,6),(6,3),(6,4)],7)=>10
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>10
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>12
([(4,6),(5,6)],7)=>26
([(3,6),(4,6),(6,5)],7)=>17
([(2,6),(3,6),(6,4),(6,5)],7)=>14
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>13
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>14
([(3,6),(4,6),(5,6)],7)=>24
([(2,6),(3,6),(4,6),(6,5)],7)=>16
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>13
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>12
([(2,6),(3,6),(4,6),(5,6)],7)=>24
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>17
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>14
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>26
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>20
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>30
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>17
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>12
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>17
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>21
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>20
([(1,6),(2,6),(3,6),(4,5)],7)=>16
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>10
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>15
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>10
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>8
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>11
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>19
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>13
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>13
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>13
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>15
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>8
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>11
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>12
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>19
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>17
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>17
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>17
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>12
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>10
([(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)=>10
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>10
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>13
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>6
([(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)=>6
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>12
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>13
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>12
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>13
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>22
([(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)=>8
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>16
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>14
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>10
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>8
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>8
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>17
([(2,6),(3,6),(4,5)],7)=>17
([(2,6),(3,5),(4,5),(4,6)],7)=>16
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>9
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>7
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>8
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>4
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>4
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>5
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>6
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>11
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>9
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>7
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>8
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>10
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>6
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>7
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>20
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>13
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>11
([(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)=>8
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>9
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>13
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>8
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>8
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>13
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>8
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>13
([(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)=>12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>16
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>11
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>14
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>9
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>11
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>6
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>6
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>6
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>10
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>6
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>11
([(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)=>11
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>10
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>9
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>13
([(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)=>10
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>11
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>8
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>11
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>11
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>9
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>9
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>4
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>8
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>4
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>9
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>10
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>7
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>9
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>13
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>11
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>7
([(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)=>10
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>8
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
([(2,6),(3,6),(4,5),(6,4)],7)=>10
([(2,6),(3,5),(4,5),(5,6)],7)=>15
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>9
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>7
([(1,6),(2,6),(3,4),(6,5)],7)=>10
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>8
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>11
([(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)=>8
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>10
([(2,6),(3,6),(4,5),(4,6)],7)=>19
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>12
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>10
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>12
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>11
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>7
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>8
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>11
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>8
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>9
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>7
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>7
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>7
([(1,6),(2,6),(3,4),(3,5)],7)=>15
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>8
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>11
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>12
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>7
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>6
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>9
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>7
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>7
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>9
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>18
([(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)=>12
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>11
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>10
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>12
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>15
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>8
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>11
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>9
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>11
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>19
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>10
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>8
([(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)=>16
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>9
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>8
([(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)=>15
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>10
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>10
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>16
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>15
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>10
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>14
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>10
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>9
([(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)=>6
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>7
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>6
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>7
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>9
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>9
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>8
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>12
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>5
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>5
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>6
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>6
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>8
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>7
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>5
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>5
([(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)=>4
([(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)=>6
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>7
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>6
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>6
([(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)=>10
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>10
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>9
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>9
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>10
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>9
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>10
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>7
([(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)=>9
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>8
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>9
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>4
([(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)=>8
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>10
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>8
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>8
([(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)=>5
([(2,6),(3,6),(4,5),(5,6)],7)=>16
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>10
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>8
([(1,6),(2,6),(3,4),(4,5)],7)=>10
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>5
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>5
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>5
([(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)=>6
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>12
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>7
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>7
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>7
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>9
([(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)=>6
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>10
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>10
([(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)=>10
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>9
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>10
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>10
([(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)=>12
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>5
([(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)=>4
([(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)=>10
([(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)=>5
([(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)=>5
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>5
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>5
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>7
([(1,6),(2,6),(3,5),(4,5)],7)=>14
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>14
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>8
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>8
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>11
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>11
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>14
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>8
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>8
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>11
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>11
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>20
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>14
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>8
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>9
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>7
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>5
([(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)=>15
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>10
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>8
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>8
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>7
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>11
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>8
([(0,6),(1,6),(2,5),(3,4)],7)=>10
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>5
([(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)=>6
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>9
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>8
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>5
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>9
([(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)=>7
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>12
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>10
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>7
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>12
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>14
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>11
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>11
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>9
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>15
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>14
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>13
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>8
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>11
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>11
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>8
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>10
([(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)=>5
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>10
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>6
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>7
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>10
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>6
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>5
([(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)=>11
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>13
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>11
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>7
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>6
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>13
([(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)=>9
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>11
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>15
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>9
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>12
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>6
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>10
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14
([(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)=>18
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>12
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>7
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>7
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>6
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>9
([(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)=>16
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>8
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>6
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>7
([(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)=>5
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>6
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>14
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>8
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>7
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>14
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>7
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>5
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>13
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>10
([(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)=>10
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>12
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>8
([(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)=>4
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>6
([(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)=>8
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>5
([(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)=>10
([(3,6),(4,5)],7)=>20
([(3,6),(4,5),(4,6)],7)=>21
([(2,6),(3,4),(3,6),(4,5)],7)=>13
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>11
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>11
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>8
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>7
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>9
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>8
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>9
([(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)=>6
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>5
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>7
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>11
([(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)=>5
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>7
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>8
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>6
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>8
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>7
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>6
([(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)=>4
([(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)=>6
([(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)=>5
([(3,5),(3,6),(4,5),(4,6)],7)=>22
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>14
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>12
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>12
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>12
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>7
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>8
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>9
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>9
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>8
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>10
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>14
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>13
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>7
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>6
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>7
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>7
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>16
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>10
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>9
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>10
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>9
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>10
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>7
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>8
([(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)=>5
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>5
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>13
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>7
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>12
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>8
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>8
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>9
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>8
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>8
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>8
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>7
([(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)=>7
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>7
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>8
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>13
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>7
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>12
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>7
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>7
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>7
([(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)=>8
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>16
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>9
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>10
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>10
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>13
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>8
([(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)=>8
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>8
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>9
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>9
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>8
([(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)=>7
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>6
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>9
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>11
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>9
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>8
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>9
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>10
([(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)=>9
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>16
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>13
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>13
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>8
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>7
([(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)=>10
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>13
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>7
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>7
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>6
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11
([(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)=>11
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>6
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>6
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>13
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>8
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>8
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>8
([(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)=>8
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>8
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>8
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>8
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>8
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>6
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>6
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>8
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>7
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>8
([(2,6),(3,4),(3,6),(6,5)],7)=>13
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>11
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>11
([(2,6),(3,4),(3,5)],7)=>17
([(2,6),(3,4),(3,5),(3,6)],7)=>19
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>12
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>11
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>8
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>9
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>10
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>6
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>7
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>8
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>10
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>10
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>7
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>6
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>8
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>6
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>6
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>7
([(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)=>5
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>8
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>9
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>7
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>9
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>6
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>5
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>12
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>11
([(1,6),(2,3),(2,4),(2,5)],7)=>16
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>19
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>13
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>11
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>11
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>11
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>11
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>13
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>13
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>17
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>21
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>12
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>17
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>10
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>15
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>10
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>15
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>12
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>17
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>13
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>11
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>11
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>14
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>10
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>10
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>15
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>10
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>8
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>5
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>13
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>9
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>8
([(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)=>13
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>10
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>9
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>9
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>10
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>11
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>10
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>9
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>9
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>11
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Description
The number of potential covers of a poset.
A potential cover is a pair of uncomparable elements $(x, y)$ which can be added to the poset without adding any other relations.
For example, let $P$ be the disjoint union of a single relation $(1, 2)$ with the one element poset $0$. Then the relation $(0, 1)$ cannot be added without adding also $(0, 2)$, however, the relations $(0, 2)$ and $(1, 0)$ are potential covers.
A potential cover is a pair of uncomparable elements $(x, y)$ which can be added to the poset without adding any other relations.
For example, let $P$ be the disjoint union of a single relation $(1, 2)$ with the one element poset $0$. Then the relation $(0, 1)$ cannot be added without adding also $(0, 2)$, however, the relations $(0, 2)$ and $(1, 0)$ are potential covers.
References
[1] (bad identifier) MathOverflow:447986
Code
def statistic(P):
r = list(P.relations_iterator(True))
n = len(r)
good = []
for x in P:
for y in P:
if P.compare_elements(x, y) is None:
Q = Poset(DiGraph(r + [[x, y]]))
if len(list(Q.relations_iterator(True))) == n + 1:
good.append([x,y])
return len(good)
Created
Jun 03, 2023 at 11:21 by Martin Rubey
Updated
Jun 03, 2023 at 11:21 by Martin Rubey
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