Values
=>
Cc0014;cc-rep
([],1)=>2
([],2)=>4
([(0,1)],2)=>3
([],3)=>8
([(1,2)],3)=>6
([(0,1),(0,2)],3)=>5
([(0,2),(2,1)],3)=>4
([(0,2),(1,2)],3)=>5
([],4)=>16
([(2,3)],4)=>12
([(1,2),(1,3)],4)=>10
([(0,1),(0,2),(0,3)],4)=>9
([(0,2),(0,3),(3,1)],4)=>7
([(0,1),(0,2),(1,3),(2,3)],4)=>6
([(1,2),(2,3)],4)=>8
([(0,3),(3,1),(3,2)],4)=>6
([(1,3),(2,3)],4)=>10
([(0,3),(1,3),(3,2)],4)=>6
([(0,3),(1,3),(2,3)],4)=>9
([(0,3),(1,2)],4)=>9
([(0,3),(1,2),(1,3)],4)=>8
([(0,2),(0,3),(1,2),(1,3)],4)=>7
([(0,3),(2,1),(3,2)],4)=>5
([(0,3),(1,2),(2,3)],4)=>7
([],5)=>32
([(3,4)],5)=>24
([(2,3),(2,4)],5)=>20
([(1,2),(1,3),(1,4)],5)=>18
([(0,1),(0,2),(0,3),(0,4)],5)=>17
([(0,2),(0,3),(0,4),(4,1)],5)=>13
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>11
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>10
([(1,3),(1,4),(4,2)],5)=>14
([(0,3),(0,4),(4,1),(4,2)],5)=>11
([(1,2),(1,3),(2,4),(3,4)],5)=>12
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>7
([(0,3),(0,4),(3,2),(4,1)],5)=>10
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>9
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>8
([(2,3),(3,4)],5)=>16
([(1,4),(4,2),(4,3)],5)=>12
([(0,4),(4,1),(4,2),(4,3)],5)=>10
([(2,4),(3,4)],5)=>20
([(1,4),(2,4),(4,3)],5)=>12
([(0,4),(1,4),(4,2),(4,3)],5)=>8
([(1,4),(2,4),(3,4)],5)=>18
([(0,4),(1,4),(2,4),(4,3)],5)=>10
([(0,4),(1,4),(2,4),(3,4)],5)=>17
([(0,4),(1,4),(2,3)],5)=>15
([(0,4),(1,3),(2,3),(2,4)],5)=>13
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>12
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>11
([(0,4),(1,4),(2,3),(4,2)],5)=>7
([(0,4),(1,3),(2,3),(3,4)],5)=>11
([(0,4),(1,4),(2,3),(2,4)],5)=>14
([(0,4),(1,4),(2,3),(3,4)],5)=>13
([(1,4),(2,3)],5)=>18
([(1,4),(2,3),(2,4)],5)=>16
([(0,4),(1,2),(1,4),(2,3)],5)=>11
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>9
([(1,3),(1,4),(2,3),(2,4)],5)=>14
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>9
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>8
([(0,4),(1,2),(1,4),(4,3)],5)=>10
([(0,4),(1,2),(1,3)],5)=>15
([(0,4),(1,2),(1,3),(1,4)],5)=>14
([(0,2),(0,4),(3,1),(4,3)],5)=>9
([(0,4),(1,2),(1,3),(3,4)],5)=>12
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>8
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>11
([(0,3),(0,4),(1,2),(1,4)],5)=>13
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>12
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>11
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>10
([(0,3),(1,2),(1,4),(3,4)],5)=>11
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>9
([(1,4),(3,2),(4,3)],5)=>10
([(0,3),(3,4),(4,1),(4,2)],5)=>7
([(1,4),(2,3),(3,4)],5)=>14
([(0,4),(1,2),(2,4),(4,3)],5)=>8
([(0,3),(1,4),(4,2)],5)=>12
([(0,4),(3,2),(4,1),(4,3)],5)=>8
([(0,4),(1,2),(2,3),(2,4)],5)=>10
([(0,4),(2,3),(3,1),(4,2)],5)=>6
([(0,3),(1,2),(2,4),(3,4)],5)=>10
([(0,4),(1,2),(2,3),(3,4)],5)=>9
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>7
([],6)=>64
([(4,5)],6)=>48
([(3,4),(3,5)],6)=>40
([(2,3),(2,4),(2,5)],6)=>36
([(1,2),(1,3),(1,4),(1,5)],6)=>34
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>33
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>25
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>21
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>19
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>18
([(1,3),(1,4),(1,5),(5,2)],6)=>26
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>21
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>22
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>20
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>11
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>12
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>12
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>13
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>19
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>15
([(2,3),(2,4),(4,5)],6)=>28
([(1,4),(1,5),(5,2),(5,3)],6)=>22
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>19
([(2,3),(2,4),(3,5),(4,5)],6)=>24
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>14
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>9
([(1,4),(1,5),(4,3),(5,2)],6)=>20
([(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)=>10
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>9
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>11
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>16
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>14
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>12
([(3,4),(4,5)],6)=>32
([(2,3),(3,4),(3,5)],6)=>24
([(1,5),(5,2),(5,3),(5,4)],6)=>20
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>18
([(2,3),(3,5),(5,4)],6)=>20
([(1,4),(4,5),(5,2),(5,3)],6)=>14
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>11
([(3,5),(4,5)],6)=>40
([(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)=>36
([(1,5),(2,5),(3,5),(5,4)],6)=>20
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>12
([(1,5),(2,5),(3,5),(4,5)],6)=>34
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>18
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>33
([(0,5),(1,5),(2,5),(3,4)],6)=>27
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>11
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>19
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>25
([(1,5),(2,5),(3,4)],6)=>30
([(1,5),(2,4),(3,4),(3,5)],6)=>26
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>16
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>14
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>24
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>13
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>22
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>13
([(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)=>14
([(1,5),(2,5),(3,4),(5,3)],6)=>14
([(1,5),(2,4),(3,4),(4,5)],6)=>22
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>12
([(0,5),(1,5),(2,3),(5,4)],6)=>18
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>10
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>16
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>9
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>13
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>16
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>13
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>11
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>15
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>12
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>21
([(1,5),(2,5),(3,4),(4,5)],6)=>26
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>14
([(0,5),(1,5),(2,3),(3,4)],6)=>20
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>8
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>16
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>12
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>18
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>17
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>13
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>11
([(0,5),(1,5),(2,4),(3,4)],6)=>25
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>23
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>21
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>20
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>19
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>13
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>9
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>21
([(2,5),(3,4)],6)=>36
([(2,5),(3,4),(3,5)],6)=>32
([(1,5),(2,3),(2,5),(3,4)],6)=>22
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>13
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>11
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>18
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>10
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>14
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>12
([(2,4),(2,5),(3,4),(3,5)],6)=>28
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>18
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>13
([(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)=>12
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>11
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>10
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>11
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>9
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>10
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>15
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>16
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>17
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>15
([(1,5),(2,3),(2,5),(5,4)],6)=>20
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>20
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>16
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>18
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>17
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>15
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>14
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>19
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>13
([(1,3),(1,5),(4,2),(5,4)],6)=>18
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>13
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>13
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>12
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>10
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>12
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>11
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>16
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>9
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>22
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>12
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>17
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>16
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>15
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>17
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>10
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>8
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>13
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>16
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>22
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>15
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>13
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>12
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>20
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>13
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>12
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>11
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>18
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>12
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>13
([(0,4),(0,5),(1,2),(1,3)],6)=>25
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>16
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>21
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>19
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>16
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>19
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>10
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>11
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>13
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>14
([(1,4),(2,3),(2,5),(4,5)],6)=>22
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>13
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>18
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>11
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>10
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>15
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>12
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>13
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>11
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>12
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>12
([(2,5),(3,4),(4,5)],6)=>28
([(1,5),(2,3),(3,5),(5,4)],6)=>16
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>10
([(1,3),(2,4),(4,5)],6)=>24
([(1,5),(4,3),(5,2),(5,4)],6)=>16
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>12
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>14
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>16
([(1,5),(3,4),(4,2),(5,3)],6)=>12
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>8
([(1,4),(2,3),(3,5),(4,5)],6)=>20
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>11
([(0,5),(1,4),(4,2),(5,3)],6)=>16
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>10
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>14
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>12
([(1,5),(2,3),(3,4),(4,5)],6)=>18
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>14
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>8
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>10
([(0,5),(1,4),(2,3)],6)=>27
([(0,5),(1,3),(2,4),(2,5)],6)=>24
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>12
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>19
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>11
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>17
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>12
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>21
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>15
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>15
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>20
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>18
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>16
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>11
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>9
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>10
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>20
([(0,5),(1,3),(4,2),(5,4)],6)=>15
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>11
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>13
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>11
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>9
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>12
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>7
([(0,5),(1,3),(2,4),(4,5)],6)=>21
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>9
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>15
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>11
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>8
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>13
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>9
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>19
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>65
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>49
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>34
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>41
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>19
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>20
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>22
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>37
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>37
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>14
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>15
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>13
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>31
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>28
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>35
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>28
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>26
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>18
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>34
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>19
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>34
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>65
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>19
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>35
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>49
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>26
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>12
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>20
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>28
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>34
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>21
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>12
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>33
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>21
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>37
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>25
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>41
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>38
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>18
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>20
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>22
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>23
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>22
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>15
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>14
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>16
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>12
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>20
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>10
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>17
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>17
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>20
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>19
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>12
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>9
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>34
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>18
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>9
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>21
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>14
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>22
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>26
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>13
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>23
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>18
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>34
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>15
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>27
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>37
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>15
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>19
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>31
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>17
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>29
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>28
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>18
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>24
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>18
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>18
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>20
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>24
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>18
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>20
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>34
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>33
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>26
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>34
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>25
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>15
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>16
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>18
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>14
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>29
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>25
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>18
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>16
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>17
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>12
([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>38
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>21
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)=>21
([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>26
([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>24
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>14
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>11
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)=>19
([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>24
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>22
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)=>21
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>27
([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>26
([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>24
([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>20
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>11
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>24
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>19
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>16
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>18
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>13
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>9
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>22
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>19
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>14
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>16
([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>22
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>12
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)=>22
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>22
([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>18
([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>26
([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>22
([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>24
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)=>14
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)=>14
([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>25
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>26
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)=>24
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)=>18
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>18
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>22
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>22
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)=>20
([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)=>18
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>18
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>18
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>18
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>27
([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>28
([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>26
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>12
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>23
([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>29
([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>22
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>15
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>16
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>15
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>13
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>20
([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>18
([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>24
([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)=>14
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>22
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>19
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>11
([(2,4),(3,5),(5,6)],7)=>48
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)=>14
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)=>20
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>26
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>12
([(2,6),(4,5),(5,3),(6,4)],7)=>24
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>12
([(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>22
([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>20
([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>28
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>18
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>14
([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>26
([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>18
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>10
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>14
([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>20
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)=>14
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>24
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)=>17
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>25
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>18
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>29
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>30
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)=>14
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>22
([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>31
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>18
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>18
([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>25
([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>21
([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>18
([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>22
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>17
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>27
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)=>14
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>23
([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>20
([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>26
([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>18
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)=>18
([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>26
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)=>22
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)=>20
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)=>18
([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>27
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)=>21
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>17
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>17
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>13
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>22
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>12
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>16
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>14
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>10
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>14
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>13
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>22
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>20
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>29
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>20
([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>18
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>23
([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)=>14
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>31
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>22
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)=>14
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>34
([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)=>14
([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>22
([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>29
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>18
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)=>17
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>17
([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)=>14
([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>25
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>19
([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>26
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>24
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>13
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)=>17
([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)=>21
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>13
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>20
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>14
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>23
([(1,6),(2,4),(5,3),(6,5)],7)=>30
([(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>22
([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>18
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)=>14
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>15
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)=>18
([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>14
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)=>9
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>11
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>12
([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>18
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>18
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>20
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>20
([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>22
([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)=>18
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)=>14
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)=>12
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>10
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)=>14
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>14
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>8
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>22
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>10
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>16
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>22
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>25
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>15
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>16
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>10
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)=>12
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>28
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)=>12
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>21
([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>27
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>13
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>9
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>11
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>19
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>13
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>9
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>17
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>11
([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>9
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)=>16
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>11
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>42
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>36
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>24
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>11
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)=>27
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>11
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>15
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>12
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>14
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>12
([(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],8)=>16
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)=>18
([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>10
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>20
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>12
([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)=>21
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>21
([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>13
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>22
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>22
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>31
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>67
([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>22
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>31
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>31
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>76
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>67
([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>76
([(4,6),(4,7),(5,6),(5,7)],8)=>112
([],8)=>256
([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>15
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8)=>19
([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)=>17
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8)=>15
([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8)=>25
([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8)=>23
([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8)=>21
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8)=>19
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8)=>17
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8)=>19
([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8)=>21
([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8)=>17
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>15
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>24
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>33
([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>40
([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>48
([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>41
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>39
([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>28
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>24
([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>28
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>69
([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>84
([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>73
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8)=>43
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>41
([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>30
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>26
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>24
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8)=>33
([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8)=>37
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>48
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)=>52
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)=>63
([(4,7),(5,6)],8)=>144
([(0,7),(1,6),(2,5),(3,4)],8)=>81
([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>64
([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)=>49
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8)=>45
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8)=>41
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)=>39
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8)=>28
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8)=>30
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8)=>34
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8)=>36
([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)=>49
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)=>81
([(2,7),(3,7),(4,6),(5,6)],8)=>100
([(2,5),(3,4),(4,6),(5,7)],8)=>64
([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8)=>36
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8)=>30
([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8)=>32
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8)=>45
([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>56
([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>48
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8)=>37
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8)=>28
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8)=>26
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>24
([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>24
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>33
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>37
([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>48
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>84
([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>52
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>41
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>37
([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8)=>28
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8)=>26
([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>24
([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8)=>28
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8)=>30
([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8)=>32
([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8)=>36
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8)=>49
([(2,6),(2,7),(3,4),(3,5)],8)=>100
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8)=>43
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8)=>41
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8)=>69
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8)=>73
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8)=>81
([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>15
([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)=>18
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>19
([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)=>18
([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8)=>24
([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>21
([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8)=>23
([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8)=>22
([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8)=>26
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8)=>19
([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)=>47
([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9)=>53
([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9)=>56
([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>10
([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9)=>20
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)=>21
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)=>30
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)=>27
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)=>30
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)=>14
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>14
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>16
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>15
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>20
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>16
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>15
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)=>21
([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9)=>19
([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)=>19
([(0,6),(3,8),(4,5),(4,8),(5,1),(5,7),(6,3),(6,4),(8,2),(8,7)],9)=>20
([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>17
([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9)=>21
([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>22
([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9)=>22
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9)=>29
([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>25
([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9)=>20
([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9)=>30
([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9)=>28
([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9)=>33
([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>26
([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9)=>25
([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9)=>28
([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9)=>32
([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11)=>95
([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11)=>107
([(0,8),(1,9),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,10),(10,9)],11)=>113
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,9),(9,10)],11)=>116
([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,9),(8,9),(9,10)],11)=>131
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,8),(7,9),(8,10),(9,10)],11)=>122
([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13)=>191
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)=>215
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,10),(10,12),(11,9),(12,11)],13)=>227
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(11,9),(12,10)],13)=>233
([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(11,12),(12,10)],13)=>263
([(0,7),(1,7),(2,8),(3,8),(4,11),(5,10),(6,9),(7,10),(8,11),(10,12),(11,12),(12,9)],13)=>245
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)=>236
([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(10,12),(11,10)],13)=>266
([(0,10),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(7,12),(8,11),(9,10),(10,12),(12,11)],13)=>281
([(0,7),(1,7),(2,8),(3,8),(4,9),(5,10),(6,11),(7,10),(8,11),(9,12),(10,12),(11,9)],13)=>254
([(0,10),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,11),(9,10),(10,12),(11,12)],13)=>287
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Description
The number of antichains in a poset.
An antichain in a poset $P$ is a subset of elements of $P$ which are pairwise incomparable.
An order ideal is a subset $I$ of $P$ such that $a\in I$ and $b \leq_P a$ implies $b \in I$. Since there is a one-to-one correspondence between antichains and order ideals, this statistic is also the number of order ideals in a poset.
An antichain in a poset $P$ is a subset of elements of $P$ which are pairwise incomparable.
An order ideal is a subset $I$ of $P$ such that $a\in I$ and $b \leq_P a$ implies $b \in I$. Since there is a one-to-one correspondence between antichains and order ideals, this statistic is also the number of order ideals in a poset.
Code
def statistic(P):
return P.antichains().cardinality()
Created
Jun 11, 2013 at 12:41 by Christian Stump
Updated
Apr 08, 2021 at 15:18 by Martin Rubey
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