Values
([],1) => 0
([],2) => 1
([(0,1)],2) => 0
([],3) => 3
([(1,2)],3) => 2
([(0,1),(0,2)],3) => 1
([(0,2),(2,1)],3) => 0
([(0,2),(1,2)],3) => 1
([],4) => 6
([(2,3)],4) => 5
([(1,2),(1,3)],4) => 4
([(0,1),(0,2),(0,3)],4) => 3
([(0,2),(0,3),(3,1)],4) => 2
([(0,1),(0,2),(1,3),(2,3)],4) => 1
([(1,2),(2,3)],4) => 3
([(0,3),(3,1),(3,2)],4) => 1
([(1,3),(2,3)],4) => 4
([(0,3),(1,3),(3,2)],4) => 1
([(0,3),(1,3),(2,3)],4) => 3
([(0,3),(1,2)],4) => 4
([(0,3),(1,2),(1,3)],4) => 3
([(0,2),(0,3),(1,2),(1,3)],4) => 2
([(0,3),(2,1),(3,2)],4) => 0
([(0,3),(1,2),(2,3)],4) => 2
([],5) => 10
([(3,4)],5) => 9
([(2,3),(2,4)],5) => 8
([(1,2),(1,3),(1,4)],5) => 7
([(0,1),(0,2),(0,3),(0,4)],5) => 6
([(0,2),(0,3),(0,4),(4,1)],5) => 5
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 4
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 3
([(1,3),(1,4),(4,2)],5) => 6
([(0,3),(0,4),(4,1),(4,2)],5) => 4
([(1,2),(1,3),(2,4),(3,4)],5) => 5
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
([(0,3),(0,4),(3,2),(4,1)],5) => 4
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 3
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2
([(2,3),(3,4)],5) => 7
([(1,4),(4,2),(4,3)],5) => 5
([(0,4),(4,1),(4,2),(4,3)],5) => 3
([(2,4),(3,4)],5) => 8
([(1,4),(2,4),(4,3)],5) => 5
([(0,4),(1,4),(4,2),(4,3)],5) => 2
([(1,4),(2,4),(3,4)],5) => 7
([(0,4),(1,4),(2,4),(4,3)],5) => 3
([(0,4),(1,4),(2,4),(3,4)],5) => 6
([(0,4),(1,4),(2,3)],5) => 7
([(0,4),(1,3),(2,3),(2,4)],5) => 6
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 5
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 4
([(0,4),(1,4),(2,3),(4,2)],5) => 1
([(0,4),(1,3),(2,3),(3,4)],5) => 4
([(0,4),(1,4),(2,3),(2,4)],5) => 6
([(0,4),(1,4),(2,3),(3,4)],5) => 5
([(1,4),(2,3)],5) => 8
([(1,4),(2,3),(2,4)],5) => 7
([(0,4),(1,2),(1,4),(2,3)],5) => 5
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 3
([(1,3),(1,4),(2,3),(2,4)],5) => 6
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 3
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 2
([(0,4),(1,2),(1,4),(4,3)],5) => 4
([(0,4),(1,2),(1,3)],5) => 7
([(0,4),(1,2),(1,3),(1,4)],5) => 6
([(0,2),(0,4),(3,1),(4,3)],5) => 3
([(0,4),(1,2),(1,3),(3,4)],5) => 5
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
([(0,3),(0,4),(1,2),(1,4)],5) => 6
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 5
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 4
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 4
([(0,3),(1,2),(1,4),(3,4)],5) => 5
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 3
([(1,4),(3,2),(4,3)],5) => 4
([(0,3),(3,4),(4,1),(4,2)],5) => 1
([(1,4),(2,3),(3,4)],5) => 6
([(0,4),(1,2),(2,4),(4,3)],5) => 2
([(0,3),(1,4),(4,2)],5) => 6
([(0,4),(3,2),(4,1),(4,3)],5) => 2
([(0,4),(1,2),(2,3),(2,4)],5) => 4
([(0,4),(2,3),(3,1),(4,2)],5) => 0
([(0,3),(1,2),(2,4),(3,4)],5) => 4
([(0,4),(1,2),(2,3),(3,4)],5) => 3
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
([],6) => 15
([(4,5)],6) => 14
([(3,4),(3,5)],6) => 13
([(2,3),(2,4),(2,5)],6) => 12
([(1,2),(1,3),(1,4),(1,5)],6) => 11
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 10
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 9
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 8
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 7
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 6
([(1,3),(1,4),(1,5),(5,2)],6) => 10
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 8
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 9
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 8
>>> Load all 1200 entries. <<<([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 3
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 7
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 6
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 6
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 4
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 5
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 8
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 7
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 6
([(2,3),(2,4),(4,5)],6) => 11
([(1,4),(1,5),(5,2),(5,3)],6) => 9
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 7
([(2,3),(2,4),(3,5),(4,5)],6) => 10
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 6
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
([(1,4),(1,5),(4,3),(5,2)],6) => 9
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 8
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 7
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 3
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 4
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 7
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 6
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 6
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 5
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
([(3,4),(4,5)],6) => 12
([(2,3),(3,4),(3,5)],6) => 10
([(1,5),(5,2),(5,3),(5,4)],6) => 8
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 6
([(2,3),(3,5),(5,4)],6) => 9
([(1,4),(4,5),(5,2),(5,3)],6) => 6
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 3
([(3,5),(4,5)],6) => 13
([(2,5),(3,5),(5,4)],6) => 10
([(1,5),(2,5),(5,3),(5,4)],6) => 7
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 4
([(2,5),(3,5),(4,5)],6) => 12
([(1,5),(2,5),(3,5),(5,4)],6) => 8
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 4
([(1,5),(2,5),(3,5),(4,5)],6) => 11
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 6
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 10
([(0,5),(1,5),(2,5),(3,4)],6) => 11
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 3
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 7
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 10
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 9
([(1,5),(2,5),(3,4)],6) => 12
([(1,5),(2,4),(3,4),(3,5)],6) => 11
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 8
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 6
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 10
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 7
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 5
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 5
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 6
([(1,5),(2,5),(3,4),(5,3)],6) => 6
([(1,5),(2,4),(3,4),(4,5)],6) => 9
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 4
([(0,5),(1,5),(2,3),(5,4)],6) => 9
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 3
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 6
([(1,5),(2,5),(3,4),(3,5)],6) => 11
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 7
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 9
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 6
([(0,5),(1,5),(2,3),(2,4)],6) => 11
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 2
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 8
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 5
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 10
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 7
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 5
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 4
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 9
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 6
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 4
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 8
([(1,5),(2,5),(3,4),(4,5)],6) => 10
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 5
([(0,5),(1,5),(2,3),(3,4)],6) => 10
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 7
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 6
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 8
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 7
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 5
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 3
([(0,5),(1,5),(2,4),(3,4)],6) => 11
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 10
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 9
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 8
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 7
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 5
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 2
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 8
([(2,5),(3,4)],6) => 13
([(2,5),(3,4),(3,5)],6) => 12
([(1,5),(2,3),(2,5),(3,4)],6) => 10
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 8
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 6
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 4
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 8
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 3
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 7
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 5
([(2,4),(2,5),(3,4),(3,5)],6) => 11
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 8
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 5
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 7
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 5
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 10
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 3
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 7
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 6
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 9
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 6
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 8
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 7
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 8
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 6
([(1,5),(2,3),(2,5),(5,4)],6) => 9
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 6
([(1,5),(2,3),(2,4)],6) => 12
([(1,5),(2,3),(2,4),(2,5)],6) => 11
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 9
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 7
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 8
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 6
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 8
([(0,5),(1,2),(1,3),(1,4)],6) => 11
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 10
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 7
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 9
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 6
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 8
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 5
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 7
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 9
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 7
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5
([(1,3),(1,5),(4,2),(5,4)],6) => 8
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 5
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 6
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 5
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 5
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 4
([(1,5),(2,3),(2,4),(4,5)],6) => 10
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 6
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 7
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 9
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 4
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 8
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 7
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 6
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 5
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 5
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 7
([(0,4),(1,3),(1,5),(5,2)],6) => 10
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 6
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 8
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 8
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 3
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 9
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 7
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 5
([(1,4),(1,5),(2,3),(2,5)],6) => 11
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 10
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 7
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 6
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 6
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 5
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 8
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 6
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 8
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 9
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 6
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 5
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 4
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 9
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 7
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 7
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 5
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 7
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 6
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 6
([(0,4),(0,5),(1,2),(1,3)],6) => 11
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 10
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 8
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 7
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 9
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 8
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 7
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 7
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 8
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 6
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 9
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 7
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 3
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 4
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 8
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 6
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 5
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 7
([(1,4),(2,3),(2,5),(4,5)],6) => 10
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 6
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 8
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 4
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 8
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 5
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 6
([(0,5),(1,3),(1,4),(5,2)],6) => 10
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 4
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 4
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 8
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 6
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 5
([(2,5),(3,4),(4,5)],6) => 11
([(1,5),(2,3),(3,5),(5,4)],6) => 7
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 3
([(1,3),(2,4),(4,5)],6) => 11
([(1,5),(4,3),(5,2),(5,4)],6) => 7
([(1,5),(2,3),(3,4),(3,5)],6) => 9
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 5
([(0,4),(1,5),(5,2),(5,3)],6) => 9
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 5
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 7
([(1,5),(3,4),(4,2),(5,3)],6) => 5
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 1
([(1,4),(2,3),(3,5),(4,5)],6) => 9
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 4
([(0,5),(1,4),(4,2),(5,3)],6) => 9
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 3
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 7
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 5
([(1,5),(2,3),(3,4),(4,5)],6) => 8
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 6
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 1
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 3
([(0,5),(1,4),(2,3)],6) => 12
([(0,5),(1,3),(2,4),(2,5)],6) => 11
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 10
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 7
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 5
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 9
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 4
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 7
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 5
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 8
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 10
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 8
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 9
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 8
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 6
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 7
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 8
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 10
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 8
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 9
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 7
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 7
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 4
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 3
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 9
([(0,5),(1,3),(4,2),(5,4)],6) => 8
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 4
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 6
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 4
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 5
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
([(0,5),(1,3),(2,4),(4,5)],6) => 10
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 8
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 6
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 4
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 6
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 8
([],7) => 21
([(5,6)],7) => 20
([(4,5),(4,6)],7) => 19
([(3,4),(3,5),(3,6)],7) => 18
([(2,3),(2,4),(2,5),(2,6)],7) => 17
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 16
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 15
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 14
([(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) => 12
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 11
([(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) => 15
([(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) => 14
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 13
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 12
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 6
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 11
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 10
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 7
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 8
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 12
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 11
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 9
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 11
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 11
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 10
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 9
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 9
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 8
([(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) => 7
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 8
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 9
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 10
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 13
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 12
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
([(2,4),(2,5),(2,6),(6,3)],7) => 16
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 14
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 12
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 15
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 14
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 9
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 4
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 13
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 12
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 11
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 10
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 5
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 7
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 6
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 8
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 6
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 12
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 7
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 11
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 10
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 8
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 5
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 10
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 4
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 9
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 6
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 11
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 7
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 14
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 13
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 12
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 10
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 9
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 8
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 6
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 7
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 6
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 8
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 7
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 9
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 12
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 11
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 11
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 10
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 9
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 12
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 11
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 10
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 10
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 9
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 8
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 9
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 8
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 7
([(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) => 6
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 9
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 7
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 10
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 8
([(3,4),(3,5),(5,6)],7) => 17
([(2,5),(2,6),(6,3),(6,4)],7) => 15
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 13
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 11
([(3,4),(3,5),(4,6),(5,6)],7) => 16
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 12
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 8
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 4
([(2,5),(2,6),(5,4),(6,3)],7) => 15
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 14
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 13
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 9
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 5
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 8
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 5
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 4
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 10
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 6
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 13
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 12
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 8
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 11
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 10
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 12
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 11
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 10
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 6
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 5
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 7
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 6
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 8
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 11
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 10
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 9
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 9
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 8
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 7
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 13
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 8
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 3
([(4,5),(5,6)],7) => 18
([(3,4),(4,5),(4,6)],7) => 16
([(2,6),(6,3),(6,4),(6,5)],7) => 14
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 12
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 10
([(3,4),(4,6),(6,5)],7) => 15
([(2,5),(5,6),(6,3),(6,4)],7) => 12
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 9
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 6
([(4,6),(5,6)],7) => 19
([(3,6),(4,6),(6,5)],7) => 16
([(2,6),(3,6),(6,4),(6,5)],7) => 13
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 10
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 7
([(3,6),(4,6),(5,6)],7) => 18
([(2,6),(3,6),(4,6),(6,5)],7) => 14
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 10
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 6
([(2,6),(3,6),(4,6),(5,6)],7) => 17
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 12
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 7
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 16
([(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) => 15
([(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) => 6
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 11
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 15
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 14
([(1,6),(2,6),(3,6),(4,5)],7) => 17
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 9
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 13
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 13
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 5
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 9
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 16
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 11
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 14
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 10
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 16
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 4
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 12
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 8
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 15
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 14
([(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) => 15
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 9
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 15
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 3
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 7
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 11
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 13
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 9
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 6
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 12
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 16
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 15
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 14
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 11
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 8
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 4
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 12
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 15
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 10
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 7
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 4
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 13
([(2,6),(3,6),(4,5)],7) => 18
([(2,6),(3,5),(4,5),(4,6)],7) => 17
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 14
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 11
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 12
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 6
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 11
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 9
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 7
([(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) => 13
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 10
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 8
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 6
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 11
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 9
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 7
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 11
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 7
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 14
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 5
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 13
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 11
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 10
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 12
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 8
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 15
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 9
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 5
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 7
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 12
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 6
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 10
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 7
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 11
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 14
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 10
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 12
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 14
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 11
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 12
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 13
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 11
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 13
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 16
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 15
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 10
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 13
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 8
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 11
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 15
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 14
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 13
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 12
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 13
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 12
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 14
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
([(2,6),(3,6),(4,5),(6,4)],7) => 12
([(2,6),(3,5),(4,5),(5,6)],7) => 15
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 10
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 5
([(1,6),(2,6),(3,4),(6,5)],7) => 15
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 9
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 12
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 7
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 12
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 6
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 9
([(2,6),(3,6),(4,5),(4,6)],7) => 17
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 13
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 9
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 15
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 12
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 11
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 8
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 13
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 10
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 7
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 12
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 6
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 9
([(1,6),(2,6),(3,4),(3,5)],7) => 17
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 8
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 14
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 6
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 9
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 14
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 5
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 11
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 8
([(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) => 12
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 14
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 11
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 13
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 10
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 16
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 4
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 13
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 10
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 7
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 15
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 12
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 10
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 9
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 14
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 11
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 9
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 8
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 13
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 10
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 8
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 12
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 15
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 10
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 14
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 8
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 15
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 3
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 12
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 9
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 8
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 5
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 12
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 11
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 9
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 13
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 11
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 7
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 10
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 8
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 7
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 9
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 8
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 7
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 6
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 9
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 5
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 8
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 6
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 10
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 8
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 13
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 9
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 10
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 8
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 12
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 11
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 9
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 7
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 14
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 2
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 11
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 12
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 11
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 6
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 10
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 12
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 10
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 8
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 9
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 7
([(2,6),(3,6),(4,5),(5,6)],7) => 16
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 11
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 6
([(1,6),(2,6),(3,4),(4,5)],7) => 16
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 7
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 13
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 7
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 13
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 4
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 10
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 14
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 9
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 11
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 8
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 14
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 2
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 11
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 8
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 10
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 8
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 12
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 11
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 9
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 7
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 10
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 8
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 6
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 10
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 4
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 7
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 1
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 13
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 7
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 13
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 10
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 7
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 4
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 10
([(1,6),(2,6),(3,5),(4,5)],7) => 17
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 16
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 13
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 10
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 12
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 9
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 10
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 15
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 11
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 9
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 14
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 10
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 8
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 9
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 13
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 7
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 12
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 11
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 8
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 5
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 2
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 14
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 8
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 14
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 8
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 5
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 11
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 11
([(0,6),(1,6),(2,5),(3,4)],7) => 17
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 11
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 5
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 8
([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 14
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 11
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 4
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 9
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 16
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 8
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 12
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 14
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 7
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 11
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 15
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 13
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 15
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 11
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 14
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 14
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 16
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 15
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 9
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 12
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 7
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 13
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 10
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 10
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 4
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 7
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 13
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 15
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 14
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 9
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 6
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 15
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 14
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 13
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 12
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 11
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 11
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 13
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 13
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 11
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 12
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 11
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 10
([(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) => 9
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 11
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 8
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 6
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 3
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 9
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 14
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 13
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 6
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 3
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 12
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 8
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 5
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 11
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 10
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 7
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 13
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 15
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 5
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 10
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 13
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 15
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 6
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 9
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 3
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 6
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 12
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 13
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 7
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 3
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 11
([(3,6),(4,5)],7) => 19
([(3,6),(4,5),(4,6)],7) => 18
([(2,6),(3,4),(3,6),(4,5)],7) => 16
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 14
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 12
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 10
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 8
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 6
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 12
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 10
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 7
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 11
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 9
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 7
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 14
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 9
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 4
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 13
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 11
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 10
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 8
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 13
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 11
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 5
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 10
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 6
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 8
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 10
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 8
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 6
([(3,5),(3,6),(4,5),(4,6)],7) => 17
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 14
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 11
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 8
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 13
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 8
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 11
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 10
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 5
([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 16
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 15
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 12
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 11
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 10
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 9
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 11
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 10
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 8
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 9
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 10
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 12
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 6
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 13
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 9
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 12
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 6
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 10
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 9
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 8
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 13
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 6
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 10
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 12
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 9
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 8
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 15
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 11
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 12
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 8
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 7
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 12
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 9
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 7
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 14
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 9
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 8
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 13
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 13
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 10
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 10
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 11
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 15
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 12
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 9
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 11
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 9
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 8
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 14
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 11
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 13
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 11
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 9
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 7
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 13
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 11
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 7
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 5
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 8
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 11
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 9
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 14
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 11
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 8
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 7
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 14
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 11
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 10
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 8
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 12
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 11
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 7
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 8
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 6
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 4
([(2,6),(3,4),(3,6),(6,5)],7) => 15
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 12
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 9
([(2,6),(3,4),(3,5)],7) => 18
([(2,6),(3,4),(3,5),(3,6)],7) => 17
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 15
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 13
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 11
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 9
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 13
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 8
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 12
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 10
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 14
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 12
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 6
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 11
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 9
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 10
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 8
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 13
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 12
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 10
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 8
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 10
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 11
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 9
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 7
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 11
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 9
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 14
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 11
([(1,6),(2,3),(2,4),(2,5)],7) => 17
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 16
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 14
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 12
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 13
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 11
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 12
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 10
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 13
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 16
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 15
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 12
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 14
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 11
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 13
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 10
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 12
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 9
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 11
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 14
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 12
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 10
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 8
([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 13
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 10
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 15
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 11
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 12
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 7
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 14
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 9
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 11
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 5
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 13
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 7
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 12
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 8
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 9
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 11
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 13
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 10
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 10
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 12
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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:
1,1 1,2,1,1 1,3,3,4,3,1,1 1,4,6,9,12,10,10,6,3,1,1 1,5,10,17,28,35,44,46,43,36,25,16,7,3,1,1
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 1 + 2\ q + q^{2} + q^{3}$
$F_{4} = 1 + 3\ q + 3\ q^{2} + 4\ q^{3} + 3\ q^{4} + q^{5} + q^{6}$
$F_{5} = 1 + 4\ q + 6\ q^{2} + 9\ q^{3} + 12\ q^{4} + 10\ q^{5} + 10\ q^{6} + 6\ q^{7} + 3\ q^{8} + q^{9} + q^{10}$
$F_{6} = 1 + 5\ q + 10\ q^{2} + 17\ q^{3} + 28\ q^{4} + 35\ q^{5} + 44\ q^{6} + 46\ q^{7} + 43\ q^{8} + 36\ q^{9} + 25\ q^{10} + 16\ q^{11} + 7\ q^{12} + 3\ q^{13} + q^{14} + q^{15}$
Description
Number of pairs of incomparable elements in a finite poset.
For a finite poset $(P,\leq)$, this is the number of unordered pairs $\{x,y\} \in \binom{P}{2}$ with $x \not\leq y$ and $y \not\leq x$.
For a finite poset $(P,\leq)$, this is the number of unordered pairs $\{x,y\} \in \binom{P}{2}$ with $x \not\leq y$ and $y \not\leq x$.
Code
def statistic(P):
return sum(1 for x in P.antichains_iterator() if len(x) == 2)
Created
May 23, 2019 at 14:12 by Christian Stump
Updated
May 23, 2019 at 14:12 by Christian Stump
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