Values
([],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
>>> Load all 792 entries. <<<([(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
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,1,0,1 1,3,3,2,3,2,0,1,0,0,0,1 1,4,6,6,9,8,7,4,5,2,2,2,3,0,2,0,0,0,1,0,0,0,0,0,0,0,1
$F_{1} = q^{2}$
$F_{2} = q^{3} + q^{4}$
$F_{3} = q^{4} + 2\ q^{5} + q^{6} + q^{8}$
$F_{4} = q^{5} + 3\ q^{6} + 3\ q^{7} + 2\ q^{8} + 3\ q^{9} + 2\ q^{10} + q^{12} + q^{16}$
$F_{5} = q^{6} + 4\ q^{7} + 6\ q^{8} + 6\ q^{9} + 9\ q^{10} + 8\ q^{11} + 7\ q^{12} + 4\ q^{13} + 5\ q^{14} + 2\ q^{15} + 2\ q^{16} + 2\ q^{17} + 3\ q^{18} + 2\ q^{20} + q^{24} + q^{32}$
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
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!