Values
([],1) => 0
([],2) => 0
([(0,1)],2) => 0
([],3) => 1
([(1,2)],3) => 0
([(0,1),(0,2)],3) => 0
([(0,2),(2,1)],3) => 0
([(0,2),(1,2)],3) => 0
([],4) => 4
([(2,3)],4) => 2
([(1,2),(1,3)],4) => 1
([(0,1),(0,2),(0,3)],4) => 1
([(0,2),(0,3),(3,1)],4) => 0
([(0,1),(0,2),(1,3),(2,3)],4) => 0
([(1,2),(2,3)],4) => 0
([(0,3),(3,1),(3,2)],4) => 0
([(1,3),(2,3)],4) => 1
([(0,3),(1,3),(3,2)],4) => 0
([(0,3),(1,3),(2,3)],4) => 1
([(0,3),(1,2)],4) => 0
([(0,3),(1,2),(1,3)],4) => 0
([(0,2),(0,3),(1,2),(1,3)],4) => 0
([(0,3),(2,1),(3,2)],4) => 0
([(0,3),(1,2),(2,3)],4) => 0
([],5) => 10
([(3,4)],5) => 7
([(2,3),(2,4)],5) => 5
([(1,2),(1,3),(1,4)],5) => 4
([(0,1),(0,2),(0,3),(0,4)],5) => 4
([(0,2),(0,3),(0,4),(4,1)],5) => 2
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 1
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 1
([(1,3),(1,4),(4,2)],5) => 2
([(0,3),(0,4),(4,1),(4,2)],5) => 1
([(1,2),(1,3),(2,4),(3,4)],5) => 1
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 0
([(0,3),(0,4),(3,2),(4,1)],5) => 0
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 0
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 0
([(2,3),(3,4)],5) => 3
([(1,4),(4,2),(4,3)],5) => 1
([(0,4),(4,1),(4,2),(4,3)],5) => 1
([(2,4),(3,4)],5) => 5
([(1,4),(2,4),(4,3)],5) => 1
([(0,4),(1,4),(4,2),(4,3)],5) => 0
([(1,4),(2,4),(3,4)],5) => 4
([(0,4),(1,4),(2,4),(4,3)],5) => 1
([(0,4),(1,4),(2,4),(3,4)],5) => 4
([(0,4),(1,4),(2,3)],5) => 2
([(0,4),(1,3),(2,3),(2,4)],5) => 1
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 1
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 1
([(0,4),(1,4),(2,3),(4,2)],5) => 0
([(0,4),(1,3),(2,3),(3,4)],5) => 1
([(0,4),(1,4),(2,3),(2,4)],5) => 2
([(0,4),(1,4),(2,3),(3,4)],5) => 2
([(1,4),(2,3)],5) => 4
([(1,4),(2,3),(2,4)],5) => 3
([(0,4),(1,2),(1,4),(2,3)],5) => 0
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 0
([(1,3),(1,4),(2,3),(2,4)],5) => 2
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 0
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 0
([(0,4),(1,2),(1,4),(4,3)],5) => 0
([(0,4),(1,2),(1,3)],5) => 2
([(0,4),(1,2),(1,3),(1,4)],5) => 2
([(0,2),(0,4),(3,1),(4,3)],5) => 0
([(0,4),(1,2),(1,3),(3,4)],5) => 1
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 0
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 1
([(0,3),(0,4),(1,2),(1,4)],5) => 1
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 1
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 0
([(0,3),(1,2),(1,4),(3,4)],5) => 0
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 0
([(1,4),(3,2),(4,3)],5) => 0
([(0,3),(3,4),(4,1),(4,2)],5) => 0
([(1,4),(2,3),(3,4)],5) => 2
([(0,4),(1,2),(2,4),(4,3)],5) => 0
([(0,3),(1,4),(4,2)],5) => 0
([(0,4),(3,2),(4,1),(4,3)],5) => 0
([(0,4),(1,2),(2,3),(2,4)],5) => 0
([(0,4),(2,3),(3,1),(4,2)],5) => 0
([(0,3),(1,2),(2,4),(3,4)],5) => 0
([(0,4),(1,2),(2,3),(3,4)],5) => 0
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
([],6) => 20
([(4,5)],6) => 16
([(3,4),(3,5)],6) => 13
([(2,3),(2,4),(2,5)],6) => 11
([(1,2),(1,3),(1,4),(1,5)],6) => 10
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 10
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 7
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 5
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 4
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 4
([(1,3),(1,4),(1,5),(5,2)],6) => 7
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 5
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 5
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
>>> Load all 1200 entries. <<<([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 2
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 1
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 1
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 2
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 1
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 1
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 4
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 3
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(2,3),(2,4),(4,5)],6) => 8
([(1,4),(1,5),(5,2),(5,3)],6) => 5
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4
([(2,3),(2,4),(3,5),(4,5)],6) => 6
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 0
([(1,4),(1,5),(4,3),(5,2)],6) => 4
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 3
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 0
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 0
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 0
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 2
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 2
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 1
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 1
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
([(3,4),(4,5)],6) => 10
([(2,3),(3,4),(3,5)],6) => 6
([(1,5),(5,2),(5,3),(5,4)],6) => 4
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4
([(2,3),(3,5),(5,4)],6) => 4
([(1,4),(4,5),(5,2),(5,3)],6) => 1
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 1
([(3,5),(4,5)],6) => 13
([(2,5),(3,5),(5,4)],6) => 6
([(1,5),(2,5),(5,3),(5,4)],6) => 2
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 1
([(2,5),(3,5),(4,5)],6) => 11
([(1,5),(2,5),(3,5),(5,4)],6) => 4
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 1
([(1,5),(2,5),(3,5),(4,5)],6) => 10
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 4
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 10
([(0,5),(1,5),(2,5),(3,4)],6) => 7
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 1
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 4
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 7
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 7
([(1,5),(2,5),(3,4)],6) => 9
([(1,5),(2,4),(3,4),(3,5)],6) => 7
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 1
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 1
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 6
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 1
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 1
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 1
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 1
([(1,5),(2,5),(3,4),(5,3)],6) => 1
([(1,5),(2,4),(3,4),(4,5)],6) => 5
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
([(0,5),(1,5),(2,3),(5,4)],6) => 2
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 0
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 1
([(1,5),(2,5),(3,4),(3,5)],6) => 8
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 2
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 3
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 2
([(0,5),(1,5),(2,3),(2,4)],6) => 6
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 0
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 2
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 1
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 6
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 2
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 1
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 0
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 5
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 1
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 5
([(1,5),(2,5),(3,4),(4,5)],6) => 7
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
([(0,5),(1,5),(2,3),(3,4)],6) => 3
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 0
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 2
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 1
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 3
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 3
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 1
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1
([(0,5),(1,5),(2,4),(3,4)],6) => 6
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 5
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 4
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 0
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 5
([(2,5),(3,4)],6) => 12
([(2,5),(3,4),(3,5)],6) => 10
([(1,5),(2,3),(2,5),(3,4)],6) => 5
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 2
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 0
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 0
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 0
([(2,4),(2,5),(3,4),(3,5)],6) => 8
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 1
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 2
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 2
([(1,5),(2,3),(2,5),(5,4)],6) => 4
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 1
([(1,5),(2,3),(2,4)],6) => 9
([(1,5),(2,3),(2,4),(2,5)],6) => 8
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 4
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 2
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 2
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 2
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 3
([(0,5),(1,2),(1,3),(1,4)],6) => 7
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 7
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 3
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 5
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 2
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 4
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 2
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 3
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
([(1,3),(1,5),(4,2),(5,4)],6) => 3
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 1
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 0
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 0
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 0
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 0
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 0
([(1,5),(2,3),(2,4),(4,5)],6) => 6
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 1
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 0
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 5
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 2
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 1
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 1
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 1
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
([(0,4),(1,3),(1,5),(5,2)],6) => 4
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 2
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 3
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 2
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 0
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 2
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 2
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 0
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1
([(1,4),(1,5),(2,3),(2,5)],6) => 7
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 6
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 2
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 1
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 2
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 2
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 4
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 0
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 0
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 2
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 1
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 1
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 0
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 1
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 1
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3)],6) => 6
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 5
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 5
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 2
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 4
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 2
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 2
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 1
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 3
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 2
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 0
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 2
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 1
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 0
([(1,4),(2,3),(2,5),(4,5)],6) => 5
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 0
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 0
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 0
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 0
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 0
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,3),(1,4),(5,2)],6) => 3
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 0
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 1
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 0
([(2,5),(3,4),(4,5)],6) => 8
([(1,5),(2,3),(3,5),(5,4)],6) => 2
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 0
([(1,3),(2,4),(4,5)],6) => 6
([(1,5),(4,3),(5,2),(5,4)],6) => 2
([(1,5),(2,3),(3,4),(3,5)],6) => 4
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 0
([(0,4),(1,5),(5,2),(5,3)],6) => 2
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 2
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 2
([(1,5),(3,4),(4,2),(5,3)],6) => 0
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 0
([(1,4),(2,3),(3,5),(4,5)],6) => 4
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 0
([(0,5),(1,4),(4,2),(5,3)],6) => 0
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 0
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 0
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(1,5),(2,3),(3,4),(4,5)],6) => 3
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 1
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 0
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 0
([(0,5),(1,4),(2,3)],6) => 8
([(0,5),(1,3),(2,4),(2,5)],6) => 6
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 5
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 0
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 0
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 0
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 3
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 4
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 3
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 5
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 2
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 2
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 2
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 0
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 0
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 0
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 4
([(0,5),(1,3),(4,2),(5,4)],6) => 0
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 0
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 0
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 0
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 0
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 0
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
([(0,5),(1,3),(2,4),(4,5)],6) => 4
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 2
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 0
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 2
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 0
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 0
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 0
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 4
([],7) => 35
([(5,6)],7) => 30
([(4,5),(4,6)],7) => 26
([(3,4),(3,5),(3,6)],7) => 23
([(2,3),(2,4),(2,5),(2,6)],7) => 21
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 20
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 20
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 16
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 13
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 11
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 10
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 10
([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 16
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 13
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 13
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 11
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 10
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 4
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 7
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 7
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 4
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 4
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 9
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 7
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 6
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 8
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 6
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 5
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(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) => 4
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 5
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 6
([(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) => 10
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 8
([(2,4),(2,5),(2,6),(6,3)],7) => 17
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 13
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 11
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 14
([(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) => 4
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 1
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 9
([(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) => 6
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 1
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 1
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 1
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 1
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 1
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 8
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 2
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 6
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 6
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 2
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 5
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 1
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 2
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 1
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 6
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 2
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 12
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 10
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 8
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 4
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 3
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 1
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 3
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 4
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 9
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 8
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 7
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 6
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 8
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 6
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 5
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 4
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(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) => 2
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 1
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 5
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 3
([(3,4),(3,5),(5,6)],7) => 19
([(2,5),(2,6),(6,3),(6,4)],7) => 14
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 11
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 10
([(3,4),(3,5),(4,6),(5,6)],7) => 16
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 7
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 2
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 1
([(2,5),(2,6),(5,4),(6,3)],7) => 13
([(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) => 9
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 3
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 1
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 2
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 0
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 0
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 0
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 0
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 4
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 1
([(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) => 8
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 3
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 7
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 7
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 7
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 6
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 2
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 1
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 2
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 1
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 2
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 6
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 5
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 5
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 9
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 2
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 0
([(4,5),(5,6)],7) => 22
([(3,4),(4,5),(4,6)],7) => 16
([(2,6),(6,3),(6,4),(6,5)],7) => 12
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 10
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 10
([(3,4),(4,6),(6,5)],7) => 13
([(2,5),(5,6),(6,3),(6,4)],7) => 7
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 4
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4
([(4,6),(5,6)],7) => 26
([(3,6),(4,6),(6,5)],7) => 16
([(2,6),(3,6),(6,4),(6,5)],7) => 9
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 5
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4
([(3,6),(4,6),(5,6)],7) => 23
([(2,6),(3,6),(4,6),(6,5)],7) => 12
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 5
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 2
([(2,6),(3,6),(4,6),(5,6)],7) => 21
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 10
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 4
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 20
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 10
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 20
([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 16
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 10
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 16
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 16
([(1,6),(2,6),(3,6),(4,5)],7) => 18
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 11
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 7
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 1
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 4
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 17
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 7
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 10
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 7
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 14
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 7
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 14
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 13
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 13
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 16
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 7
([(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) => 1
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 4
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 7
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 10
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 4
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 1
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 10
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 14
([(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) => 11
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 11
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 4
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 1
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 11
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 13
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 6
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 2
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 13
([(2,6),(3,6),(4,5)],7) => 21
([(2,6),(3,5),(4,5),(4,6)],7) => 18
([(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) => 3
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 7
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 1
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 1
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 1
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 1
([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 16
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 8
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 1
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 1
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 6
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 1
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 1
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 1
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 7
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 7
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 2
([(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) => 1
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 1
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 1
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 6
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 1
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 6
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 1
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 6
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 9
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 9
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 8
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 10
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 5
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 7
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 9
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 13
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 11
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 1
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 7
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 1
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 7
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 11
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 8
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 7
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 7
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 8
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 5
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 10
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 8
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 9
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 7
([(2,6),(3,6),(4,5),(6,4)],7) => 7
([(2,6),(3,5),(4,5),(5,6)],7) => 14
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 5
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 1
([(1,6),(2,6),(3,4),(6,5)],7) => 11
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 3
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 7
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 1
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 4
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 2
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 3
([(2,6),(3,6),(4,5),(4,6)],7) => 19
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 9
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 3
([(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) => 8
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 3
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 2
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 7
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 3
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 2
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 4
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 2
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 3
([(1,6),(2,6),(3,4),(3,5)],7) => 17
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 2
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 10
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 6
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 1
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 7
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 1
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 3
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 2
([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 16
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 7
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 10
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 6
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 7
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 6
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 14
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 1
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 7
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 3
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 14
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 8
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 6
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 12
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 7
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 5
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 11
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 7
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 5
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 11
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 14
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 5
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 13
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 5
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 10
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 0
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 3
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 2
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 2
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 1
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 6
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 6
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 5
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 9
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 4
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 2
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 4
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 2
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 2
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 3
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 1
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 1
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 2
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 2
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 2
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 3
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 3
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 8
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 5
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 5
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 8
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 8
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 5
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
([(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) => 0
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 6
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 6
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 6
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 6
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 8
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 5
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 4
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 4
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 2
([(2,6),(3,6),(4,5),(5,6)],7) => 17
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 7
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 2
([(1,6),(2,6),(3,4),(4,5)],7) => 13
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 1
([(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) => 2
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 3
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 0
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 2
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 11
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 3
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 4
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 3
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 7
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 0
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 3
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 5
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 5
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 7
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 6
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 4
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 6
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 4
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 4
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 0
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 1
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 0
([(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) => 3
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 4
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 0
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 1
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 4
([(1,6),(2,6),(3,5),(4,5)],7) => 17
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 15
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 6
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 5
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 6
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 5
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 13
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 12
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 11
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 5
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 6
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 2
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 0
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 13
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 5
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 7
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 2
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 1
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 6
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 6
([(0,6),(1,6),(2,5),(3,4)],7) => 16
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 2
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 1
([(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) => 5
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 5
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 14
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 2
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 8
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 9
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 2
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 8
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 13
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 8
([(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) => 5
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 11
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 10
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 12
([(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) => 8
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 13
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 10
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 9
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 8
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 1
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 7
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 1
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 6
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 5
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 2
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 0
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 1
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 9
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 12
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 10
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 4
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 1
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 10
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 10
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 7
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 6
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 5
([(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) => 6
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 6
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 5
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5
([(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) => 5
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 6
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 1
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 0
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 5
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 9
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 9
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 1
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 8
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 3
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 8
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 4
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 1
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 10
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 12
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 2
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 7
([(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) => 10
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 2
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 0
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 1
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 9
([(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) => 2
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 8
([(3,6),(4,5)],7) => 25
([(3,6),(4,5),(4,6)],7) => 22
([(2,6),(3,4),(3,6),(4,5)],7) => 15
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 10
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 7
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 3
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 1
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 1
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 6
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 0
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 3
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 1
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 1
([(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) => 3
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 0
([(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) => 5
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 2
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 2
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 7
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 5
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 0
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 0
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 0
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 0
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 2
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 0
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 0
([(3,5),(3,6),(4,5),(4,6)],7) => 19
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 11
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 9
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 5
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 4
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 1
([(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) => 12
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 5
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 3
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(1,6),(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),(5,3)],7) => 5
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 3
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 3
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 4
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 4
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 0
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 9
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 3
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 8
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 2
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 2
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 1
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 2
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 4
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 7
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 1
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 1
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 4
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 2
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 1
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 11
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 5
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 5
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 4
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 2
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 9
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 4
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 6
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 3
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 2
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 7
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 6
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 2
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 1
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 2
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 5
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 2
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 4
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 2
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 4
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 3
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 1
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 3
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 1
([(2,6),(3,4),(3,6),(6,5)],7) => 13
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 7
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 4
([(2,6),(3,4),(3,5)],7) => 21
([(2,6),(3,4),(3,5),(3,6)],7) => 19
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 13
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 9
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 5
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 3
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 9
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 2
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 6
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 4
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 10
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 8
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 2
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 3
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 3
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 2
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 2
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 8
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 6
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 2
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 4
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 4
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 2
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 4
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 2
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 11
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 6
([(1,6),(2,3),(2,4),(2,5)],7) => 18
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 17
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 12
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 8
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 9
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 7
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 7
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 7
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 10
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 16
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 16
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 10
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 13
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 8
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 11
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 7
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 10
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 7
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 10
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 10
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 6
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
([(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) => 6
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 14
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 6
([(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) => 2
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 12
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 4
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 7
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 2
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 11
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 4
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 7
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 4
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 5
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 7
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 9
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 5
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 6
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 8
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,1 10,4,1,0,1 26,17,9,2,5,2,0,1,0,0,1 75,64,58,26,32,20,12,10,6,2,6,2,1,2,0,0,1,0,0,0,1
$F_{1} = 1$
$F_{2} = 2$
$F_{3} = 4 + q$
$F_{4} = 10 + 4\ q + q^{2} + q^{4}$
$F_{5} = 26 + 17\ q + 9\ q^{2} + 2\ q^{3} + 5\ q^{4} + 2\ q^{5} + q^{7} + q^{10}$
$F_{6} = 75 + 64\ q + 58\ q^{2} + 26\ q^{3} + 32\ q^{4} + 20\ q^{5} + 12\ q^{6} + 10\ q^{7} + 6\ q^{8} + 2\ q^{9} + 6\ q^{10} + 2\ q^{11} + q^{12} + 2\ q^{13} + q^{16} + q^{20}$
Description
Number of triples of incomparable elements in a finite poset.
For a finite poset this is the number of 3-element sets $S \in \binom{P}{3}$ that are pairwise incomparable.
For a finite poset this is the number of 3-element sets $S \in \binom{P}{3}$ that are pairwise incomparable.
Code
def statistic(P):
return sum(1 for x in P.antichains_iterator() if len(x) == 3)
Created
May 23, 2019 at 14:11 by Christian Stump
Updated
May 23, 2019 at 14:11 by Christian Stump
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