Values
([],1) => 1
([(0,1)],2) => 1
([(0,2),(2,1)],3) => 1
([(0,1),(0,2),(1,3),(2,3)],4) => 2
([(0,3),(2,1),(3,2)],4) => 1
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 4
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
([(0,4),(2,3),(3,1),(4,2)],5) => 1
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 7
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 6
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 4
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 1
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 1
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 4
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 5
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 4
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 5
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 3
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 11
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 10
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 8
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 5
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => 1
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => 1
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => 1
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => 5
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 5
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => 1
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => 8
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => 5
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 9
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => 6
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 8
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => 4
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 7
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => 8
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 6
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => 2
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 5
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => 6
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 6
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 9
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 7
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => 4
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 3
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 3
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 7
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 4
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => 1
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => 4
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 1
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => 4
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 5
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => 5
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => 5
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => 7
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 3
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => 7
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 4
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => 5
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => 4
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 16
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8) => 15
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2)],8) => 13
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3)],8) => 10
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4)],8) => 6
([(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8) => 1
([(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5)],8) => 1
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,7)],8) => 1
([(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,4),(7,6)],8) => 1
([(0,6),(1,7),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8) => 1
([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5)],8) => 6
([(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5)],8) => 1
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(6,7)],8) => 6
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(7,6)],8) => 6
([(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(6,4),(7,5)],8) => 1
([(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4),(6,7)],8) => 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) => 1
([(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(7,6)],8) => 1
([(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(5,4),(6,7),(7,1)],8) => 1
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,4),(7,3)],8) => 1
([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5)],8) => 1
([(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4),(6,7)],8) => 1
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1),(6,5)],8) => 10
>>> Load all 1200 entries. <<<([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8) => 6
([(0,5),(1,7),(2,7),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3)],8) => 1
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,7)],8) => 10
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3)],8) => 6
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => 1
([(0,3),(0,6),(1,7),(2,7),(3,7),(4,2),(5,1),(6,4),(6,5)],8) => 6
([(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(4,6),(5,2),(5,4),(6,7)],8) => 6
([(0,5),(1,7),(2,6),(3,6),(4,3),(4,7),(5,1),(5,4),(7,2)],8) => 1
([(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(5,2),(6,4),(6,5)],8) => 1
([(0,5),(1,7),(2,7),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4),(6,7)],8) => 1
([(0,5),(1,7),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => 1
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,1),(6,5)],8) => 13
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2)],8) => 10
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3)],8) => 6
([(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4)],8) => 1
([(0,2),(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,1),(6,4)],8) => 10
([(0,3),(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8) => 6
([(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8) => 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 14
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1)],8) => 11
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2)],8) => 7
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,1),(6,2),(6,3)],8) => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 13
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,6),(7,1)],8) => 9
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,7),(7,1),(7,2)],8) => 4
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => 12
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,7),(6,1),(7,6)],8) => 7
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,7),(3,7),(4,7),(5,7),(6,7),(7,1)],8) => 11
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(7,6)],8) => 12
([(0,2),(0,3),(0,4),(2,7),(3,7),(4,7),(5,1),(6,5),(7,6)],8) => 4
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,7),(5,6),(6,1),(7,6)],8) => 8
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,7),(5,1),(5,7),(7,6)],8) => 10
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,7),(4,7),(5,7),(6,1),(7,2)],8) => 10
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(6,7)],8) => 13
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7)],8) => 11
([(0,2),(0,3),(0,4),(1,6),(2,7),(3,5),(4,5),(4,7),(5,6),(7,1)],8) => 7
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(5,7),(6,7),(7,1)],8) => 6
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(7,5)],8) => 7
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) => 10
([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,7),(7,5)],8) => 5
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1)],8) => 10
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8) => 2
([(0,2),(0,3),(0,4),(1,6),(2,7),(3,7),(4,5),(5,6),(7,1),(7,5)],8) => 6
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,6),(6,7)],8) => 11
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,7),(7,2)],8) => 6
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(5,4),(5,7),(7,6)],8) => 8
([(0,3),(0,4),(0,5),(1,6),(3,7),(4,7),(5,1),(5,7),(6,2),(7,6)],8) => 6
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(6,7)],8) => 11
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => 2
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,7),(5,7),(7,6)],8) => 8
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => 8
([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(5,1),(5,4),(6,7)],8) => 5
([(0,5),(1,7),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4),(6,7)],8) => 1
([(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5),(7,3)],8) => 1
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,7),(5,1),(5,2),(7,6)],8) => 8
([(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5),(7,3)],8) => 5
([(0,6),(1,7),(2,7),(3,7),(5,2),(5,3),(6,1),(6,5),(7,4)],8) => 1
([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,7),(6,1),(6,2),(7,3)],8) => 8
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(7,6)],8) => 11
([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8) => 6
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(6,7)],8) => 11
([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) => 2
([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(6,7),(7,1)],8) => 8
([(0,3),(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(6,7)],8) => 5
([(0,4),(1,7),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3),(6,7)],8) => 1
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,7),(4,1),(4,7),(5,4),(7,6)],8) => 8
([(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5),(7,2)],8) => 8
([(0,4),(0,5),(1,7),(2,7),(4,7),(5,6),(6,1),(6,2),(7,3)],8) => 5
([(0,5),(1,7),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8) => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => 12
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,7),(3,5),(4,5),(4,7),(5,6),(7,6)],8) => 10
([(0,3),(0,4),(0,5),(2,7),(3,6),(4,6),(5,7),(6,2),(7,1)],8) => 6
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => 2
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7),(7,1)],8) => 9
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(6,1)],8) => 14
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,7)],8) => 12
([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(5,4),(5,6),(6,7)],8) => 9
([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(4,6),(5,1),(5,2),(6,7)],8) => 5
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 4
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,7),(7,6)],8) => 8
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => 3
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,4),(5,7),(7,1)],8) => 4
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => 3
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2)],8) => 8
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,6),(6,2),(6,3)],8) => 3
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(6,1),(6,2)],8) => 12
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => 9
([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,7)],8) => 5
([(0,3),(0,4),(1,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(7,6)],8) => 4
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6),(5,7),(6,7)],8) => 5
([(0,4),(0,5),(1,7),(2,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,3)],8) => 4
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,6),(6,3)],8) => 4
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3)],8) => 9
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7)],8) => 5
([(0,6),(1,7),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4)],8) => 1
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(6,7)],8) => 5
([(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4),(6,7)],8) => 1
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,7),(5,1),(5,2),(5,3),(7,6)],8) => 5
([(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(6,5),(7,4)],8) => 1
([(0,5),(0,6),(1,7),(2,7),(3,7),(5,7),(6,1),(6,2),(6,3),(7,4)],8) => 5
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(5,1),(5,2),(5,6),(6,7)],8) => 7
([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8) => 6
([(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(5,3),(6,1),(6,4)],8) => 1
([(0,6),(1,7),(2,7),(3,4),(4,1),(5,2),(6,3),(6,5)],8) => 1
([(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4),(6,7)],8) => 1
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => 1
([(0,5),(1,7),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4),(6,7)],8) => 1
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(5,2),(6,7)],8) => 9
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(5,3),(7,2)],8) => 4
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8) => 6
([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,5)],8) => 1
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,1),(5,2),(7,6)],8) => 9
([(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(6,3),(7,5)],8) => 4
([(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,4),(6,7)],8) => 5
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2),(5,7),(6,7)],8) => 5
([(0,4),(0,5),(2,7),(3,6),(4,6),(5,2),(5,3),(6,7),(7,1)],8) => 4
([(0,5),(1,7),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4),(6,7)],8) => 1
([(0,3),(0,5),(1,7),(2,6),(3,7),(4,2),(4,7),(5,1),(5,4),(7,6)],8) => 5
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4)],8) => 9
([(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(5,4),(6,1),(6,5)],8) => 1
([(0,3),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,7)],8) => 5
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(6,7)],8) => 7
([(0,6),(1,7),(2,7),(4,5),(5,2),(6,1),(6,4),(7,3)],8) => 1
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(5,3),(6,7)],8) => 9
([(0,5),(0,6),(1,7),(2,7),(3,7),(5,3),(6,1),(6,2),(7,4)],8) => 7
([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => 1
([(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,3),(6,7),(7,1)],8) => 5
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,7)],8) => 10
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,2),(4,6),(5,1),(5,6),(6,3)],8) => 5
([(0,4),(0,5),(1,7),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => 7
([(0,3),(0,4),(1,6),(2,7),(3,1),(3,5),(4,2),(4,5),(5,7),(7,6)],8) => 5
([(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],8) => 5
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2)],8) => 10
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7)],8) => 7
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,3),(6,7)],8) => 7
([(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3),(6,7)],8) => 1
([(0,4),(0,5),(1,7),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(7,6)],8) => 7
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,2),(5,1),(5,6),(6,7)],8) => 10
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,3),(5,7),(7,2)],8) => 5
([(0,4),(0,5),(1,7),(2,6),(3,1),(4,2),(5,3),(5,6),(6,7)],8) => 7
([(0,4),(0,5),(1,7),(3,6),(4,3),(5,1),(5,6),(6,7),(7,2)],8) => 5
([(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,4),(6,1),(6,2)],8) => 10
([(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,2),(6,4)],8) => 1
([(0,4),(1,7),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8) => 1
([(0,4),(0,5),(1,7),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,7)],8) => 7
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,6),(5,1),(6,7)],8) => 12
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8) => 8
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => 3
([(0,3),(0,5),(0,6),(1,7),(2,7),(3,7),(4,1),(5,2),(6,4)],8) => 12
([(0,3),(0,5),(1,7),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8) => 6
([(0,2),(0,3),(0,5),(1,7),(2,7),(3,6),(4,1),(4,6),(5,4),(6,7)],8) => 9
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,7),(5,4),(7,1)],8) => 4
([(0,4),(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2)],8) => 9
([(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8) => 1
([(0,3),(0,4),(1,7),(2,7),(3,6),(4,5),(5,1),(5,2),(5,6),(6,7)],8) => 5
([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8) => 6
([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) => 1
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(6,7)],8) => 10
([(0,5),(0,6),(2,7),(3,7),(4,1),(5,3),(6,2),(7,4)],8) => 5
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => 10
([(0,5),(1,7),(2,7),(3,4),(4,1),(5,6),(6,2),(6,3)],8) => 1
([(0,4),(0,5),(1,7),(2,6),(3,1),(3,6),(4,2),(5,3),(6,7)],8) => 7
([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(4,1),(5,4),(6,7)],8) => 9
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(5,1),(5,2),(6,7)],8) => 6
([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => 1
([(0,3),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4),(7,5)],8) => 4
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],8) => 13
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(5,1),(5,6),(6,7)],8) => 11
([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,5),(4,6),(5,7),(6,7)],8) => 8
([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(5,3),(5,6),(6,7)],8) => 5
([(0,3),(0,5),(2,7),(3,6),(4,2),(5,4),(5,6),(6,7),(7,1)],8) => 4
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8) => 8
([(0,4),(0,5),(1,6),(3,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8) => 3
([(0,3),(0,4),(0,5),(1,7),(3,7),(4,6),(5,1),(5,6),(6,7),(7,2)],8) => 7
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(7,4)],8) => 3
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,7),(4,1),(4,5),(5,7),(7,6)],8) => 7
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,7),(6,7)],8) => 9
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => 8
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,6),(4,2),(4,6),(5,1),(5,6),(6,7)],8) => 9
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(5,7),(6,7)],8) => 9
([(0,4),(0,5),(1,7),(2,6),(3,2),(4,3),(5,1),(5,6),(6,7)],8) => 7
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => 1
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,1),(5,2),(5,7),(7,6)],8) => 9
([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8) => 9
([(0,5),(1,7),(2,7),(3,2),(4,1),(5,6),(6,3),(6,4)],8) => 1
([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,6),(5,4),(6,7)],8) => 5
([(0,3),(0,5),(2,7),(3,6),(4,2),(4,6),(5,4),(6,7),(7,1)],8) => 4
([(0,5),(1,7),(2,7),(3,6),(4,1),(5,3),(6,2),(6,4)],8) => 1
([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,6),(5,3),(6,7)],8) => 5
([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,1),(5,2),(6,7)],8) => 11
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1),(5,7),(6,7)],8) => 8
([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8) => 3
([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(5,2),(6,7),(7,1)],8) => 7
([(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4),(7,2)],8) => 5
([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => 1
([(0,5),(0,6),(1,7),(2,7),(4,1),(5,2),(6,4),(7,3)],8) => 7
([(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4),(7,3)],8) => 1
([(0,4),(0,5),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(7,3)],8) => 9
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) => 22
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1)],9) => 21
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2)],9) => 19
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3)],9) => 16
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4)],9) => 12
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4),(7,5)],9) => 7
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),(7,6)],9) => 1
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5),(8,7)],9) => 1
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(7,1),(7,2),(7,3),(7,4),(7,5),(8,6)],9) => 1
([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(7,1),(7,2),(7,3),(7,6)],9) => 7
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(6,5),(7,1),(7,2),(7,3),(7,6)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => 7
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(8,7)],9) => 7
([(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(7,4),(7,5),(8,6)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5),(8,7)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(5,8),(6,1),(6,2),(6,3),(6,5),(8,7)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5),(8,7)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(8,5)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(6,5),(7,8)],9) => 1
([(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(6,5),(7,8)],9) => 1
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => 1
([(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(5,2),(5,3),(5,4),(6,7),(8,7)],9) => 1
([(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(6,4),(6,5),(7,8),(8,3)],9) => 1
([(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(5,3),(5,4),(6,8),(8,7)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(7,5)],9) => 1
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(7,1),(7,2),(7,5),(7,6)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(6,5),(7,8)],9) => 1
([(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(7,1),(7,2),(7,6)],9) => 12
([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(6,4),(7,1),(7,2),(7,6)],9) => 7
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(6,4),(6,5),(7,1),(7,2),(7,6)],9) => 1
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,8)],9) => 12
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,8)],9) => 12
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(8,4)],9) => 7
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(8,4),(8,5)],9) => 1
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(6,5),(7,8)],9) => 7
([(0,4),(0,5),(1,7),(2,6),(3,6),(3,7),(4,8),(5,1),(5,2),(5,3),(6,8),(7,8)],9) => 7
([(0,5),(1,7),(2,8),(3,6),(4,6),(4,8),(5,2),(5,3),(5,4),(6,7),(8,1)],9) => 1
([(0,5),(2,7),(3,6),(4,6),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8),(8,1)],9) => 1
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,7),(6,2),(6,3),(6,5),(7,8)],9) => 7
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,8),(6,1),(6,2),(6,5),(8,4)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(6,5),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,4),(6,5),(7,8)],9) => 1
([(0,5),(1,6),(2,6),(3,7),(4,3),(4,8),(5,1),(5,2),(5,4),(6,8),(8,7)],9) => 1
([(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7)],9) => 7
([(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,8),(8,5)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,5),(8,3)],9) => 1
([(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(5,4),(6,7),(8,1),(8,6)],9) => 1
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,4)],9) => 7
([(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(7,4),(7,5)],9) => 1
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(7,1),(7,5),(7,6)],9) => 7
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(6,5),(7,8)],9) => 7
([(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(6,5),(7,4)],9) => 1
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,5),(7,6)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(5,7),(6,1),(6,4),(6,5),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,2),(5,7),(6,1),(6,4),(6,5),(7,8)],9) => 1
([(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5),(7,6)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(6,5),(7,8)],9) => 1
([(0,5),(1,8),(2,7),(3,6),(4,1),(4,6),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => 1
([(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(5,4),(6,8),(7,8)],9) => 1
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,7),(6,3),(6,4),(6,5),(7,8)],9) => 1
([(0,5),(1,6),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(5,4),(6,8),(8,7)],9) => 1
([(0,3),(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,2),(7,1),(7,6)],9) => 16
([(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,2),(6,3),(7,1),(7,6)],9) => 12
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(6,7),(7,1),(7,2),(7,3)],9) => 7
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(6,7),(7,1),(7,2),(7,3),(7,4)],9) => 1
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,8)],9) => 16
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3)],9) => 12
([(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4)],9) => 7
([(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(7,3),(7,4),(7,5)],9) => 1
([(0,3),(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,2),(6,1),(7,5),(7,6)],9) => 12
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(5,7),(6,2),(6,5),(7,8)],9) => 12
([(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(5,7),(6,2),(6,5),(7,3)],9) => 7
([(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(5,7),(6,2),(6,5),(7,3),(7,4)],9) => 1
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,1),(6,2),(7,5),(7,6)],9) => 7
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(7,8)],9) => 7
([(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(5,7),(6,3),(6,5),(7,4)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,5),(6,7),(7,1),(7,2),(7,3)],9) => 1
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => 1
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => 7
([(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,3)],9) => 1
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(5,4),(6,1),(6,2),(7,5),(7,6)],9) => 1
([(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8)],9) => 1
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(7,8)],9) => 12
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3)],9) => 7
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(8,3),(8,4)],9) => 1
([(0,2),(0,3),(0,4),(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,1),(7,6)],9) => 19
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2)],9) => 16
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3)],9) => 12
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3),(7,4)],9) => 7
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(7,2),(7,3),(7,4),(7,5)],9) => 1
([(0,2),(0,3),(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,1),(7,5)],9) => 16
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2)],9) => 12
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(7,3)],9) => 7
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],9) => 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) => 20
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1)],9) => 17
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2)],9) => 13
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3)],9) => 8
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,1),(7,2),(7,3),(7,4)],9) => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) => 19
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,7),(8,1)],9) => 15
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => 10
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,8),(8,1),(8,2),(8,3)],9) => 4
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,7)],9) => 18
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,7),(8,1)],9) => 13
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,8),(8,1),(8,2)],9) => 7
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9) => 17
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,8),(6,8),(7,1),(8,7)],9) => 11
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),(8,1)],9) => 16
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,1),(8,7)],9) => 17
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,8),(5,8),(6,1),(7,6),(8,7)],9) => 7
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,8),(6,7),(7,1),(8,7)],9) => 12
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,8),(6,1),(6,8),(8,7)],9) => 15
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(3,8),(4,8),(5,8),(6,8),(7,1),(8,2)],9) => 15
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(7,8)],9) => 18
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(8,6)],9) => 10
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,6)],9) => 14
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2)],9) => 14
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(8,2),(8,6)],9) => 4
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,6),(6,7),(8,1),(8,6)],9) => 9
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(6,8),(8,7)],9) => 16
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,8),(8,2)],9) => 10
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(6,5),(6,8),(8,7)],9) => 13
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,1),(6,8),(7,2),(8,7)],9) => 10
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(7,8)],9) => 16
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(8,6)],9) => 4
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,8),(5,1),(5,6),(6,7),(8,6)],9) => 12
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(6,8),(8,7)],9) => 13
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,8),(6,1),(6,2),(8,7)],9) => 13
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(4,8),(5,8),(6,8),(7,1),(7,2),(8,3)],9) => 13
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(8,7)],9) => 16
([(0,3),(0,4),(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(8,6)],9) => 10
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(6,5),(8,7)],9) => 16
([(0,2),(0,3),(0,4),(2,8),(3,8),(4,8),(5,6),(6,1),(7,5),(8,7)],9) => 4
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,8),(5,7),(6,1),(7,6),(8,7)],9) => 8
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,1),(7,2),(8,7)],9) => 12
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,8),(5,1),(5,8),(6,5),(8,7)],9) => 13
([(0,3),(0,4),(0,7),(1,8),(3,8),(4,8),(5,6),(6,1),(7,5),(8,2)],9) => 10
([(0,4),(0,6),(1,8),(2,8),(4,8),(5,7),(6,5),(7,1),(7,2),(8,3)],9) => 6
([(0,6),(1,8),(2,8),(3,8),(5,7),(6,5),(7,1),(7,2),(7,3),(8,4)],9) => 1
([(0,3),(0,4),(0,5),(0,7),(1,8),(3,8),(4,8),(5,8),(6,1),(7,6),(8,2)],9) => 13
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(8,7)],9) => 17
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,7),(5,8),(7,6),(8,6)],9) => 15
([(0,3),(0,4),(0,5),(0,6),(1,7),(3,8),(4,8),(5,8),(6,7),(7,2),(8,1)],9) => 9
([(0,4),(0,5),(0,6),(1,7),(2,7),(4,8),(5,8),(6,8),(7,3),(8,1),(8,2)],9) => 4
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8),(8,1)],9) => 13
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(8,7)],9) => 15
([(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(8,1)],9) => 11
([(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(7,3),(8,1)],9) => 7
([(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,2),(7,3),(7,4),(8,1)],9) => 2
([(0,2),(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8),(8,1)],9) => 14
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,8)],9) => 19
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9) => 17
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,6),(5,7),(6,8),(7,1)],9) => 13
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,1),(7,2)],9) => 8
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9) => 12
([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8),(8,5)],9) => 6
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,7),(5,8),(7,2),(8,1)],9) => 8
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,8),(4,5),(4,8),(5,7),(7,6),(8,1),(8,7)],9) => 7
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8)],9) => 16
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9) => 13
([(0,2),(0,3),(0,4),(1,8),(2,6),(3,7),(4,6),(4,7),(5,1),(6,8),(7,5)],9) => 8
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,5),(4,6),(5,8),(6,7),(7,8)],9) => 12
([(0,3),(0,4),(0,5),(2,8),(3,6),(4,7),(5,6),(5,7),(6,8),(7,2),(8,1)],9) => 7
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8),(8,1)],9) => 11
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9) => 14
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8)],9) => 13
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(6,7),(8,7)],9) => 14
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,6)],9) => 13
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9) => 16
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,7),(7,8),(8,1)],9) => 11
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,8),(8,1),(8,2)],9) => 5
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2)],9) => 16
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,6)],9) => 8
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,8),(7,1),(7,6)],9) => 12
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,7),(7,1),(7,8),(8,2)],9) => 6
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3)],9) => 12
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(7,2),(7,3),(7,6)],9) => 2
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,1),(7,2),(7,6)],9) => 7
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,7),(7,8)],9) => 17
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,7),(6,2),(6,8),(8,1)],9) => 12
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,3),(6,8),(8,1),(8,2)],9) => 6
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(6,5),(6,7),(7,8)],9) => 14
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,1),(5,8),(6,7),(8,6)],9) => 12
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,1),(6,5),(6,8),(8,2)],9) => 8
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(5,8),(6,7),(8,1),(8,6)],9) => 6
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => 10
([(0,2),(0,3),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,4),(5,8),(6,7),(8,6)],9) => 8
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,5),(5,1),(6,4),(6,8),(8,7)],9) => 10
([(0,3),(0,4),(0,6),(2,7),(3,8),(4,8),(5,1),(6,2),(6,8),(7,5),(8,7)],9) => 6
([(0,3),(0,4),(0,6),(1,7),(3,8),(4,8),(5,1),(6,5),(6,8),(7,2),(8,7)],9) => 8
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,8)],9) => 17
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,6)],9) => 8
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,1),(5,7),(6,7),(7,8)],9) => 14
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,2),(5,8),(7,8),(8,1)],9) => 8
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3)],9) => 14
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(7,3),(7,6)],9) => 2
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,2),(5,6),(6,8),(7,1),(7,6)],9) => 10
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => 14
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,8),(6,2),(6,3),(6,8),(8,1)],9) => 8
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8)],9) => 10
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,1),(5,2),(5,8),(6,7),(8,6)],9) => 8
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,8),(5,1),(5,2),(5,8),(6,7),(8,7)],9) => 10
([(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(6,7),(7,8),(8,1)],9) => 8
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => 14
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(7,6)],9) => 2
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,1),(5,2),(5,7),(6,7),(7,8)],9) => 11
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => 10
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(6,5),(7,8)],9) => 6
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5),(7,8)],9) => 1
([(0,6),(1,8),(2,7),(3,7),(4,3),(5,2),(6,1),(6,4),(6,5),(7,8)],9) => 1
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => 10
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(6,1),(6,3),(6,5),(8,7)],9) => 6
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,4),(6,5),(8,7)],9) => 1
([(0,7),(1,8),(2,8),(3,8),(5,3),(6,2),(7,1),(7,5),(7,6),(8,4)],9) => 1
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,8),(6,1),(6,2),(6,3),(8,7)],9) => 10
([(0,5),(0,7),(1,8),(2,8),(3,8),(5,8),(6,3),(7,1),(7,2),(7,6),(8,4)],9) => 6
([(0,7),(1,8),(2,8),(3,8),(4,8),(6,3),(6,4),(7,1),(7,2),(7,6),(8,5)],9) => 1
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(5,8),(6,8),(7,1),(7,2),(7,3),(8,4)],9) => 10
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,7),(5,7),(6,1),(6,2),(7,8)],9) => 14
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(6,2),(8,3)],9) => 8
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(8,7)],9) => 14
([(0,4),(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(8,6)],9) => 8
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,5),(7,8)],9) => 14
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(8,6)],9) => 2
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(5,4),(5,8),(6,8),(8,7)],9) => 11
([(0,3),(0,4),(0,5),(2,8),(3,6),(4,6),(5,2),(5,7),(6,7),(7,8),(8,1)],9) => 8
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => 11
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5),(7,8)],9) => 6
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,2),(5,6),(6,1),(6,3),(6,4),(7,8)],9) => 1
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,5),(7,8)],9) => 10
([(0,3),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,4),(6,5),(7,8)],9) => 6
([(0,4),(0,6),(2,8),(3,7),(4,7),(5,3),(6,2),(6,5),(7,8),(8,1)],9) => 5
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,1),(5,2),(5,8),(6,4),(6,5),(8,7)],9) => 6
([(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,1),(5,2),(6,4),(6,5),(8,7)],9) => 1
([(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(5,2),(6,4),(6,5),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8),(8,3)],9) => 1
([(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(5,3),(6,4),(6,5),(7,8)],9) => 1
([(0,6),(1,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,5),(7,8),(8,2)],9) => 1
([(0,5),(1,7),(2,6),(3,6),(4,2),(4,3),(4,7),(5,1),(5,4),(6,8),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(4,7),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8),(8,3)],9) => 1
([(0,3),(0,5),(1,7),(2,6),(3,6),(4,2),(4,7),(5,1),(5,4),(6,8),(7,8)],9) => 6
([(0,4),(0,6),(1,8),(3,7),(4,8),(5,1),(5,7),(6,3),(6,5),(7,8),(8,2)],9) => 6
([(0,6),(1,8),(2,7),(4,7),(5,2),(5,8),(6,1),(6,5),(7,3),(8,4)],9) => 1
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,5),(8,7)],9) => 10
([(0,4),(0,5),(0,6),(1,8),(2,7),(4,8),(5,8),(6,1),(6,2),(7,3),(8,7)],9) => 8
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,3),(6,1),(6,5),(8,7)],9) => 6
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,3),(5,6),(6,1),(6,2),(6,4),(8,7)],9) => 1
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(5,8),(6,1),(6,5),(8,7)],9) => 10
([(0,4),(0,5),(0,7),(1,8),(2,8),(4,8),(5,8),(6,2),(7,1),(7,6),(8,3)],9) => 10
([(0,5),(0,7),(1,8),(2,8),(3,8),(5,8),(6,2),(6,3),(7,1),(7,6),(8,4)],9) => 6
([(0,6),(1,8),(2,8),(3,8),(4,8),(6,4),(6,7),(7,1),(7,2),(7,3),(8,5)],9) => 1
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => 14
([(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(6,3),(7,6),(8,1)],9) => 2
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(7,8),(8,3)],9) => 11
([(0,3),(0,4),(0,5),(1,6),(2,6),(2,8),(3,8),(4,8),(5,1),(5,2),(6,7),(8,7)],9) => 10
([(0,5),(0,6),(1,7),(2,7),(4,8),(5,8),(6,1),(6,2),(7,4),(8,3)],9) => 6
([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) => 1
([(0,4),(0,5),(0,6),(2,7),(3,7),(4,8),(5,8),(6,2),(6,3),(7,8),(8,1)],9) => 10
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(6,5),(8,7)],9) => 10
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,1),(5,2),(6,3),(6,5),(8,7)],9) => 6
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(8,7)],9) => 1
([(0,4),(0,7),(1,8),(2,8),(4,8),(5,2),(6,1),(7,5),(7,6),(8,3)],9) => 6
([(0,7),(1,8),(2,8),(3,8),(5,3),(6,1),(6,2),(7,5),(7,6),(8,4)],9) => 1
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,7),(5,7),(6,1),(7,8)],9) => 17
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(8,2)],9) => 12
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,8),(6,1),(8,2),(8,3)],9) => 6
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(6,5),(7,8)],9) => 17
([(0,2),(0,3),(0,4),(1,8),(2,7),(3,7),(4,8),(5,1),(6,5),(7,6)],9) => 8
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(6,8),(8,7)],9) => 14
([(0,3),(0,4),(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(7,8),(8,5)],9) => 8
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,5),(8,1)],9) => 14
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,2),(8,1),(8,5)],9) => 2
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,2),(6,7),(8,1),(8,6)],9) => 10
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,7),(6,5),(7,8)],9) => 14
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,1),(5,8),(6,5),(8,2)],9) => 8
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,1),(5,4),(5,8),(6,5),(8,7)],9) => 10
([(0,3),(0,4),(0,6),(1,7),(3,8),(4,8),(5,1),(5,8),(6,5),(7,2),(8,7)],9) => 8
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(7,8)],9) => 14
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,5)],9) => 2
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(4,1),(4,8),(5,4),(6,8),(8,7)],9) => 11
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(7,8)],9) => 6
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => 1
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8)],9) => 10
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(8,7)],9) => 10
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,8),(5,6),(6,1),(6,2),(6,3),(8,7)],9) => 6
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(6,4),(8,7)],9) => 1
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,8),(6,7),(7,1),(7,2),(8,3)],9) => 10
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,8),(6,7),(7,1),(7,2),(7,3),(8,4)],9) => 6
([(0,6),(1,8),(2,8),(3,8),(4,8),(6,7),(7,1),(7,2),(7,3),(7,4),(8,5)],9) => 1
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,7),(4,5),(5,1),(6,4),(7,8)],9) => 11
([(0,3),(0,7),(2,8),(3,8),(4,2),(5,4),(6,1),(7,5),(8,6)],9) => 5
([(0,3),(0,5),(1,7),(2,7),(3,8),(4,6),(5,4),(6,1),(6,2),(7,8)],9) => 7
([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) => 1
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(8,7)],9) => 14
([(0,3),(0,4),(0,7),(2,8),(3,8),(4,8),(5,2),(6,1),(7,5),(8,6)],9) => 8
([(0,2),(0,3),(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,4),(7,8)],9) => 14
([(0,2),(0,3),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5),(8,7)],9) => 2
([(0,3),(0,4),(0,6),(2,8),(3,7),(4,7),(5,2),(6,5),(7,8),(8,1)],9) => 11
([(0,3),(0,5),(1,8),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(7,8)],9) => 6
([(0,5),(1,8),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3),(7,8)],9) => 1
([(0,2),(0,3),(0,6),(1,7),(2,8),(3,8),(4,5),(5,1),(5,8),(6,4),(8,7)],9) => 10
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) => 18
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9) => 16
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,7),(5,8),(7,1),(8,6)],9) => 12
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(7,1),(8,7)],9) => 10
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(5,8),(6,7),(8,1)],9) => 11
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,8),(4,8),(5,6),(6,7),(8,1)],9) => 12
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,8),(6,7),(8,1),(8,2)],9) => 8
([(0,3),(0,4),(0,5),(2,7),(3,8),(4,8),(5,7),(6,1),(7,6),(8,2)],9) => 6
([(0,4),(0,5),(2,7),(3,7),(4,8),(5,8),(6,1),(7,6),(8,2),(8,3)],9) => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9) => 15
([(0,2),(0,3),(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,1),(7,8),(8,6)],9) => 9
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,6),(6,7),(8,1)],9) => 15
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,6),(6,7),(8,1),(8,2)],9) => 7
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,8),(6,7),(8,1),(8,2),(8,3)],9) => 2
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,7),(3,7),(4,8),(5,8),(7,1),(7,8),(8,6)],9) => 11
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8),(8,1)],9) => 12
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(7,8)],9) => 18
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5)],9) => 12
([(0,3),(0,4),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(8,5),(8,6)],9) => 2
([(0,2),(0,3),(0,4),(1,7),(2,6),(3,6),(4,8),(5,1),(6,5),(6,8),(8,7)],9) => 7
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(6,8),(8,7)],9) => 15
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9) => 11
([(0,2),(0,3),(0,4),(2,8),(3,7),(4,7),(5,1),(6,5),(7,8),(8,6)],9) => 5
([(0,2),(0,3),(0,4),(0,5),(2,7),(3,8),(4,6),(5,6),(6,7),(7,8),(8,1)],9) => 10
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,7),(7,8)],9) => 16
([(0,3),(0,4),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(6,8),(8,5)],9) => 6
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,8),(6,7),(8,6)],9) => 11
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,8),(4,6),(5,1),(5,8),(6,7),(8,7)],9) => 13
([(0,4),(0,5),(0,6),(1,7),(2,7),(4,8),(5,8),(6,1),(6,8),(7,3),(8,2)],9) => 6
([(0,3),(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,7),(6,2),(6,7),(7,8),(8,1)],9) => 11
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(5,8),(6,1),(6,8),(8,7)],9) => 14
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(4,7),(5,1),(5,6),(6,8),(7,8)],9) => 14
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(6,8),(8,7)],9) => 14
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,8),(4,6),(4,8),(5,1),(6,7),(8,7)],9) => 14
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9) => 16
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,7),(4,6),(4,7),(5,8),(6,8),(7,8)],9) => 14
([(0,2),(0,3),(0,4),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(6,5),(7,8)],9) => 7
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9) => 13
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2)],9) => 10
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => 2
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(5,1),(5,8),(6,8),(8,7)],9) => 13
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,1),(5,6),(5,7),(6,8),(7,8)],9) => 13
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,6),(6,7),(8,7)],9) => 13
([(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,3),(8,2)],9) => 8
([(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,3),(7,4),(8,2)],9) => 3
([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,8),(8,2)],9) => 12
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(5,1),(5,8),(6,7),(8,2)],9) => 8
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,8),(6,7),(8,2),(8,3)],9) => 3
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => 12
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,1),(6,2),(8,7)],9) => 16
([(0,3),(0,4),(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(8,6)],9) => 6
([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,8),(5,7),(6,1),(7,2),(8,7)],9) => 11
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(4,8),(5,8),(6,2),(7,1),(8,3)],9) => 14
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(6,8),(7,8)],9) => 16
([(0,3),(0,4),(0,5),(2,8),(3,8),(4,7),(5,7),(6,2),(7,6),(8,1)],9) => 7
([(0,4),(0,5),(0,6),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3)],9) => 10
([(0,4),(0,5),(1,7),(3,7),(4,8),(5,8),(6,1),(7,2),(8,3),(8,6)],9) => 2
([(0,3),(0,4),(0,5),(2,8),(3,6),(4,7),(5,7),(6,8),(7,2),(7,6),(8,1)],9) => 6
([(0,3),(0,4),(0,5),(0,6),(1,8),(3,8),(4,7),(5,7),(6,1),(7,8),(8,2)],9) => 13
([(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(2,8),(3,8),(4,6),(5,1),(6,7),(8,7)],9) => 13
([(0,4),(0,5),(0,6),(1,8),(3,7),(4,7),(5,8),(6,1),(7,2),(8,3)],9) => 8
([(0,5),(0,6),(1,8),(2,7),(3,7),(5,8),(6,1),(7,4),(8,2),(8,3)],9) => 3
([(0,3),(0,4),(0,5),(0,6),(2,7),(3,8),(4,8),(5,7),(6,2),(7,8),(8,1)],9) => 12
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,2),(7,1)],9) => 20
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,8)],9) => 18
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,8)],9) => 15
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => 11
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => 6
([(0,3),(0,4),(1,8),(2,8),(3,6),(4,5),(4,6),(5,1),(5,2),(5,7),(6,7),(7,8)],9) => 5
([(0,2),(0,3),(0,5),(1,8),(2,8),(3,6),(4,1),(4,7),(5,4),(5,6),(6,7),(7,8)],9) => 10
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(4,8),(5,4),(5,7),(7,8),(8,1)],9) => 4
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(5,7),(6,1),(6,2),(7,3)],9) => 5
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,4),(5,7),(6,8),(7,1),(7,6)],9) => 4
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,6),(6,7),(7,8)],9) => 14
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2)],9) => 9
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => 3
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2)],9) => 10
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => 9
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,2),(7,3)],9) => 4
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,3),(5,7),(6,8),(7,1),(7,2),(7,6)],9) => 3
([(0,2),(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(6,4),(6,7),(7,8)],9) => 11
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(5,4),(5,6),(6,8),(8,7)],9) => 10
([(0,3),(0,6),(2,8),(3,7),(4,2),(5,1),(6,4),(6,7),(7,8),(8,5)],9) => 4
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(6,4),(6,8),(8,1)],9) => 5
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,2),(7,8),(8,3)],9) => 3
([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(5,4),(5,8),(6,7),(8,1),(8,6)],9) => 4
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,6),(5,4),(5,7),(6,1),(6,2),(7,8)],9) => 6
([(0,2),(0,5),(1,7),(2,6),(3,4),(4,1),(4,8),(5,3),(5,6),(6,8),(8,7)],9) => 5
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2)],9) => 14
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3)],9) => 9
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,7),(7,2),(7,3),(7,4)],9) => 3
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(7,1),(7,2)],9) => 18
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => 15
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8)],9) => 11
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,5),(6,7),(7,8)],9) => 6
([(0,3),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,4),(5,6),(6,7),(7,8)],9) => 5
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,2),(5,6),(6,7),(7,8)],9) => 10
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,3),(5,7),(7,8),(8,2)],9) => 4
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,3)],9) => 5
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => 11
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => 10
([(0,4),(0,6),(2,8),(3,8),(4,7),(5,1),(6,2),(6,3),(6,7),(7,8),(8,5)],9) => 4
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,2),(5,3),(5,8),(6,7),(8,1)],9) => 5
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,2),(5,7),(7,3),(7,8),(8,6)],9) => 4
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(5,6),(6,7),(8,1)],9) => 6
([(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,3),(5,7),(6,8),(7,8),(8,1)],9) => 5
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(6,4),(6,5),(6,7),(7,8)],9) => 6
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(5,6),(6,8),(7,8)],9) => 6
([(0,3),(0,4),(1,5),(2,5),(2,7),(3,6),(4,1),(4,2),(4,6),(5,8),(6,7),(7,8)],9) => 5
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,8),(5,1),(5,4),(5,6),(6,8),(8,7)],9) => 5
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,4),(5,6),(6,8),(8,7)],9) => 5
([(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 4
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,3)],9) => 10
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,3),(7,4)],9) => 4
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(7,1),(7,2),(7,3)],9) => 15
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => 11
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,5),(6,7),(7,8)],9) => 6
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7),(7,8)],9) => 5
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,2),(5,3),(5,7),(6,8),(7,8)],9) => 6
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,2),(5,3),(5,6),(6,8),(8,7)],9) => 5
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,2),(5,3),(5,6),(6,7),(8,7)],9) => 6
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8),(8,4)],9) => 5
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,7),(7,4)],9) => 5
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,5),(7,1),(7,2),(7,3),(7,4)],9) => 11
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(6,4),(6,7),(7,8)],9) => 6
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => 6
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(6,5),(7,8)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(7,8)],9) => 6
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,4),(6,5),(8,7)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,8),(6,1),(6,2),(6,3),(6,4),(8,7)],9) => 6
([(0,7),(1,8),(2,8),(3,8),(4,8),(6,4),(7,1),(7,2),(7,3),(7,6),(8,5)],9) => 1
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,8),(7,1),(7,2),(7,3),(7,4),(8,5)],9) => 6
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => 9
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(7,1),(7,2),(7,5)],9) => 7
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2),(7,5)],9) => 1
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => 11
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,4)],9) => 5
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,2),(6,5),(7,8)],9) => 7
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,4),(6,5),(8,3)],9) => 1
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,7),(6,1),(6,2),(6,3),(7,8)],9) => 11
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(6,3),(8,4)],9) => 5
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,5),(8,7)],9) => 7
([(0,7),(2,8),(3,8),(4,8),(5,4),(6,1),(7,2),(7,3),(7,5),(8,6)],9) => 1
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,1),(6,2),(6,3),(8,7)],9) => 11
([(0,5),(0,7),(2,8),(3,8),(4,8),(5,8),(6,1),(7,2),(7,3),(7,4),(8,6)],9) => 5
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,5),(8,7)],9) => 6
([(0,5),(0,6),(1,8),(2,8),(3,7),(5,8),(6,1),(6,2),(6,3),(7,4),(8,7)],9) => 5
([(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,4),(6,1),(6,2),(6,5),(8,7)],9) => 1
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(5,8),(6,1),(6,2),(6,5),(8,7)],9) => 6
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,5),(7,8)],9) => 6
([(0,4),(0,5),(1,6),(2,7),(3,8),(4,6),(5,1),(5,2),(5,3),(6,8),(8,7)],9) => 5
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,4),(6,1),(6,3),(6,5),(7,8)],9) => 1
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,5),(7,8)],9) => 6
([(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(6,5),(7,8)],9) => 1
([(0,6),(2,8),(3,7),(4,7),(5,4),(6,2),(6,3),(6,5),(7,8),(8,1)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(5,8),(6,1),(6,4),(6,5),(8,7)],9) => 1
([(0,5),(1,6),(2,7),(3,6),(4,3),(4,7),(5,1),(5,2),(5,4),(6,8),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,4),(6,5),(7,8),(8,3)],9) => 1
([(0,4),(0,5),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(5,3),(6,8),(7,8)],9) => 6
([(0,4),(0,5),(1,8),(2,8),(3,6),(3,8),(4,6),(5,1),(5,2),(5,3),(6,7),(8,7)],9) => 6
([(0,5),(0,6),(1,8),(2,8),(4,7),(5,7),(6,1),(6,2),(6,4),(7,8),(8,3)],9) => 5
([(0,4),(0,5),(1,8),(2,6),(3,6),(3,8),(4,8),(5,1),(5,2),(5,3),(6,7),(8,7)],9) => 6
([(0,6),(1,7),(2,7),(3,8),(5,8),(6,1),(6,2),(6,3),(7,5),(8,4)],9) => 1
([(0,5),(0,6),(1,8),(3,7),(4,7),(5,8),(6,1),(6,3),(6,4),(7,8),(8,2)],9) => 6
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,1),(7,2),(7,3),(7,5)],9) => 11
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(6,5),(7,1),(7,2),(7,6)],9) => 1
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,5),(7,8)],9) => 6
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(6,3),(7,8)],9) => 9
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4),(7,8)],9) => 1
([(0,7),(1,8),(2,8),(3,8),(4,2),(5,6),(6,3),(7,1),(7,4),(7,5)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(6,5),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3),(6,5),(7,8)],9) => 1
([(0,5),(1,6),(2,7),(3,8),(4,3),(4,6),(5,1),(5,2),(5,4),(6,8),(8,7)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,8)],9) => 11
([(0,4),(0,5),(1,8),(2,6),(3,6),(3,7),(4,7),(5,1),(5,2),(5,3),(6,8),(7,8)],9) => 6
([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3),(5,4),(6,8),(7,8)],9) => 1
([(0,4),(0,5),(1,6),(2,6),(3,7),(4,3),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => 9
([(0,5),(0,6),(1,8),(2,8),(4,7),(5,4),(6,1),(6,2),(6,7),(7,8),(8,3)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,4),(8,7)],9) => 9
([(0,7),(1,8),(2,8),(3,8),(5,6),(6,3),(7,1),(7,2),(7,5),(8,4)],9) => 1
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,1),(6,2),(6,3),(6,4),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(5,8),(6,1),(6,2),(6,5),(8,7)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(5,3),(5,8),(6,1),(6,2),(6,5),(7,4),(8,7)],9) => 1
([(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(6,4),(6,5),(7,8),(8,1)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(8,7)],9) => 11
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,4),(7,1),(7,2),(7,3),(8,5)],9) => 9
([(0,7),(2,8),(3,8),(4,8),(5,1),(6,5),(7,2),(7,3),(7,4),(8,6)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,7),(6,1),(6,2),(6,3),(7,4),(8,7)],9) => 6
([(0,6),(1,7),(2,8),(3,8),(4,7),(5,4),(6,1),(6,2),(6,3),(8,5)],9) => 1
([(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(5,3),(6,8),(8,7)],9) => 6
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,7),(7,8)],9) => 13
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(6,1),(6,2),(6,7),(7,4)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(6,1),(6,4),(6,7),(7,8)],9) => 9
([(0,4),(0,5),(1,6),(2,7),(3,8),(4,1),(5,2),(5,3),(5,6),(6,8),(8,7)],9) => 7
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,5),(7,1),(7,2),(7,3)],9) => 13
([(0,7),(1,8),(2,8),(3,8),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => 10
([(0,3),(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,2),(7,1),(7,5)],9) => 12
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,2),(6,3),(7,1),(7,5)],9) => 7
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,4),(6,5),(7,1),(7,2),(7,3)],9) => 1
([(0,3),(0,7),(1,8),(2,8),(3,8),(4,1),(5,6),(6,2),(7,4),(7,5)],9) => 7
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,1),(5,4),(5,7),(6,2),(6,5),(7,8)],9) => 7
([(0,6),(1,8),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(6,3),(6,4),(7,8)],9) => 1
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => 1
([(0,3),(0,5),(1,6),(2,8),(3,7),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => 7
([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) => 1
([(0,6),(1,8),(2,7),(3,7),(4,5),(4,8),(5,3),(6,1),(6,4),(8,2)],9) => 1
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => 1
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,5),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => 7
([(0,6),(1,8),(2,7),(3,7),(4,5),(5,3),(5,8),(6,1),(6,4),(8,2)],9) => 1
([(0,7),(1,8),(2,8),(3,8),(4,3),(5,6),(6,1),(6,2),(7,4),(7,5)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,2),(5,7),(6,3),(6,4),(7,8)],9) => 1
([(0,6),(1,8),(2,8),(3,4),(4,1),(4,7),(5,2),(5,7),(6,3),(6,5),(7,8)],9) => 1
([(0,3),(0,6),(1,8),(2,7),(3,8),(4,2),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => 7
([(0,6),(1,8),(2,7),(3,7),(4,1),(5,3),(5,8),(6,4),(6,5),(8,2)],9) => 1
([(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,1),(6,2),(7,4),(7,6)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,2),(5,7),(6,4),(6,5),(7,8)],9) => 1
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,8)],9) => 15
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3)],9) => 10
([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,3),(7,4)],9) => 4
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,7),(6,1),(6,2),(7,8)],9) => 15
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,7),(6,1),(6,2),(8,3)],9) => 10
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,8),(6,1),(6,2),(8,3),(8,4)],9) => 4
([(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,1),(7,2),(7,5)],9) => 15
([(0,4),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(6,5),(7,1),(7,6)],9) => 7
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,8)],9) => 11
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,5),(7,3)],9) => 5
([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,6)],9) => 11
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(6,7),(7,1),(7,2),(7,5)],9) => 1
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(5,7),(6,1),(6,5),(7,8)],9) => 6
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(5,2),(6,4),(6,7),(7,8)],9) => 13
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,3),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => 9
([(0,4),(0,5),(1,6),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(6,8),(8,7)],9) => 7
([(0,3),(0,4),(0,5),(1,6),(2,8),(3,7),(4,1),(5,2),(5,6),(6,8),(8,7)],9) => 11
([(0,5),(0,6),(1,8),(3,7),(4,2),(5,3),(6,1),(6,7),(7,8),(8,4)],9) => 5
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,2),(5,1),(6,4),(6,8),(8,3)],9) => 7
([(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,3),(5,8),(6,7),(8,1),(8,6)],9) => 5
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,2),(7,8)],9) => 13
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(5,2),(6,1),(6,4),(7,8)],9) => 7
([(0,7),(2,8),(3,8),(4,5),(5,3),(6,1),(7,2),(7,4),(8,6)],9) => 1
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,2),(6,3),(6,4),(7,8)],9) => 9
([(0,6),(1,8),(2,7),(3,7),(4,3),(5,1),(5,4),(6,2),(6,5),(7,8)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,1),(6,2),(6,4),(8,7)],9) => 9
([(0,5),(0,6),(2,8),(3,7),(4,7),(5,4),(6,2),(6,3),(7,8),(8,1)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(6,4),(8,3)],9) => 7
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,2),(5,3),(6,4),(7,1),(7,5)],9) => 13
([(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,2),(6,4),(7,1),(7,6)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,3),(6,1),(6,4),(7,8)],9) => 9
([(0,5),(1,8),(2,8),(3,8),(4,3),(5,6),(6,2),(6,7),(7,1),(7,4)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,1),(4,2),(4,7),(5,4),(6,3),(6,7),(7,8)],9) => 10
([(0,4),(0,5),(1,8),(2,7),(3,2),(3,6),(4,3),(5,1),(5,6),(6,8),(8,7)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,4),(6,1),(6,3),(7,8)],9) => 10
([(0,6),(1,8),(2,7),(3,5),(4,3),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => 1
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,2),(6,5),(7,8)],9) => 11
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,3),(6,2),(6,5),(7,8)],9) => 7
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,4),(6,1),(6,5),(8,3)],9) => 1
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(5,7),(6,2),(6,5),(7,8)],9) => 11
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(5,8),(6,1),(6,5),(8,3)],9) => 5
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,5),(7,8)],9) => 6
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,4),(5,6),(6,1),(6,2),(6,3),(7,8)],9) => 1
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(5,7),(6,3),(6,5),(7,8)],9) => 6
([(0,3),(0,5),(1,6),(2,7),(3,6),(4,2),(4,8),(5,1),(5,4),(6,8),(8,7)],9) => 5
([(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,1),(5,2),(6,8),(8,7)],9) => 10
([(0,4),(0,6),(1,8),(3,7),(4,7),(5,2),(6,1),(6,3),(7,8),(8,5)],9) => 4
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,3),(6,1),(6,5),(8,2)],9) => 5
([(0,4),(0,5),(1,7),(2,8),(3,6),(4,8),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(2,7),(3,8),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => 11
([(0,4),(0,5),(1,7),(2,6),(3,6),(3,8),(4,8),(5,2),(5,3),(6,7),(8,1)],9) => 5
([(0,4),(0,5),(2,6),(3,6),(3,7),(4,7),(5,2),(5,3),(6,8),(7,8),(8,1)],9) => 5
([(0,4),(0,5),(1,7),(2,8),(3,6),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1)],9) => 6
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,5),(8,7)],9) => 11
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,3),(6,1),(6,5),(8,7)],9) => 7
([(0,7),(2,8),(3,8),(4,8),(5,1),(6,3),(6,4),(7,2),(7,6),(8,5)],9) => 1
([(0,4),(0,7),(2,8),(3,8),(4,8),(5,3),(6,1),(7,2),(7,5),(8,6)],9) => 5
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(7,8)],9) => 15
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(8,7)],9) => 13
([(0,6),(0,7),(2,8),(3,8),(4,8),(5,1),(6,2),(7,3),(7,4),(8,5)],9) => 7
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,8)],9) => 13
([(0,4),(1,8),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5),(7,8)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,4),(6,1),(6,2),(8,7)],9) => 10
([(0,7),(2,8),(3,8),(4,5),(5,1),(6,4),(7,2),(7,3),(8,6)],9) => 1
([(0,5),(0,6),(2,8),(3,7),(4,7),(5,2),(6,3),(6,4),(7,8),(8,1)],9) => 9
([(0,4),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(8,5)],9) => 7
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,1),(5,2),(6,8),(8,7)],9) => 11
([(0,4),(0,6),(2,7),(3,7),(4,8),(5,1),(6,2),(6,3),(7,8),(8,5)],9) => 5
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3)],9) => 11
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,4),(6,1),(6,2),(8,3),(8,5)],9) => 1
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,3),(6,7),(8,1),(8,6)],9) => 6
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5)],9) => 11
([(0,7),(1,8),(2,8),(3,8),(4,2),(5,3),(6,1),(6,5),(7,4),(7,6)],9) => 1
([(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,4),(5,7),(6,3),(6,5),(7,8)],9) => 1
([(0,5),(1,6),(2,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => 1
([(0,6),(1,8),(2,8),(3,2),(4,3),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => 1
([(0,5),(1,7),(2,8),(3,1),(3,6),(4,2),(4,6),(5,3),(5,4),(6,8),(8,7)],9) => 1
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => 6
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => 5
([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,3),(6,4),(6,5),(7,8)],9) => 1
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => 6
([(0,3),(0,5),(1,8),(2,6),(2,7),(3,6),(4,1),(4,7),(5,2),(5,4),(6,8),(7,8)],9) => 6
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8)],9) => 11
([(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(4,7),(5,2),(5,4),(6,8),(7,8)],9) => 6
([(0,4),(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(5,1),(5,3),(6,8),(7,8)],9) => 9
([(0,6),(1,7),(2,8),(3,7),(4,3),(4,8),(5,1),(6,2),(6,4),(8,5)],9) => 1
([(0,3),(0,5),(1,6),(2,7),(3,8),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => 6
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,2),(6,1),(6,5),(7,8)],9) => 11
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,2),(5,3),(6,1),(6,5),(7,8)],9) => 7
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,5),(8,4)],9) => 1
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,3),(6,5),(8,2)],9) => 5
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,1),(6,4),(6,5),(7,8)],9) => 7
([(0,7),(2,8),(3,8),(4,3),(5,2),(6,1),(7,4),(7,5),(8,6)],9) => 1
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,8)],9) => 16
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3)],9) => 11
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(5,7),(6,1),(6,7),(7,3),(7,4)],9) => 5
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,2),(5,7),(6,4),(6,7),(7,8)],9) => 13
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,2),(5,6),(6,7),(7,8)],9) => 11
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,3),(4,7),(5,1),(5,7),(7,8),(8,2)],9) => 5
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,2),(5,7),(6,4),(6,7),(7,3)],9) => 7
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,3),(5,7),(6,8),(7,1),(7,6)],9) => 5
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,3),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8)],9) => 9
([(0,4),(0,5),(1,8),(2,8),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7),(7,8)],9) => 7
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => 11
([(0,5),(0,6),(2,8),(3,8),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8),(8,4)],9) => 5
([(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,7),(7,3),(7,8),(8,6)],9) => 5
([(0,5),(0,6),(1,8),(2,8),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7),(7,8)],9) => 10
([(0,4),(0,5),(1,8),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => 7
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 5
([(0,4),(0,5),(1,8),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => 7
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,3),(6,4),(7,1),(7,2)],9) => 16
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => 13
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(5,1),(5,7),(6,2),(6,4),(6,7),(7,8)],9) => 9
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,3),(4,6),(5,1),(5,2),(5,6),(6,7),(7,8)],9) => 7
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,1),(4,7),(5,2),(5,3),(5,7),(6,8),(7,8)],9) => 9
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,8),(8,4)],9) => 7
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,2),(4,6),(5,1),(5,3),(5,6),(6,8),(8,7)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(5,7),(6,1),(6,2),(6,7),(7,4)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(5,4),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => 10
([(0,4),(0,5),(1,7),(2,8),(3,8),(4,1),(4,6),(5,2),(5,3),(5,6),(6,7),(7,8)],9) => 7
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,4),(6,5),(7,1),(7,2),(7,3)],9) => 13
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(5,7),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => 9
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,4),(7,8)],9) => 9
([(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,2),(6,3),(6,4),(7,8)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(6,4),(7,8)],9) => 9
([(0,6),(1,8),(2,8),(3,7),(4,5),(5,3),(5,8),(6,1),(6,2),(6,4),(8,7)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,4),(5,8),(6,1),(6,2),(6,3),(8,7)],9) => 9
([(0,5),(1,7),(2,6),(3,6),(3,7),(4,3),(5,1),(5,2),(5,4),(6,8),(7,8)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(5,4),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => 10
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => 10
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => 10
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(7,8)],9) => 13
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,2),(5,7),(6,1),(6,3),(7,4)],9) => 7
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(5,7),(6,2),(6,3),(7,8)],9) => 13
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,8),(6,1),(6,2),(8,4)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(5,8),(6,1),(6,2),(8,7)],9) => 10
([(0,5),(0,6),(1,8),(2,8),(3,7),(5,3),(5,8),(6,1),(6,2),(7,4),(8,7)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,1),(5,7),(6,3),(6,4),(7,8)],9) => 9
([(0,4),(0,5),(1,6),(2,8),(3,7),(4,3),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => 7
([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,4),(6,3),(6,5),(7,8)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,1),(5,7),(6,3),(6,4),(7,8)],9) => 9
([(0,5),(0,6),(1,8),(2,8),(4,7),(5,2),(5,7),(6,1),(6,4),(7,8),(8,3)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,3),(7,8)],9) => 10
([(0,4),(0,5),(1,6),(2,7),(3,8),(4,3),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => 7
([(0,6),(1,8),(2,7),(3,5),(4,1),(5,4),(5,7),(6,2),(6,3),(7,8)],9) => 1
([(0,6),(1,8),(3,7),(4,5),(5,1),(5,7),(6,3),(6,4),(7,8),(8,2)],9) => 1
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,2),(6,3),(7,1),(7,5)],9) => 13
([(0,7),(1,8),(2,8),(3,8),(4,8),(5,2),(5,6),(6,3),(6,4),(7,1),(7,5)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,3),(4,7),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => 9
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,3),(6,1),(6,4),(7,8)],9) => 10
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,1),(5,2),(6,3),(6,4),(7,8)],9) => 13
([(0,4),(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,2),(5,3),(6,8),(7,8)],9) => 9
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,2),(6,3),(6,4),(8,7)],9) => 10
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(6,3),(6,4),(7,1),(7,2),(8,5)],9) => 10
([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9) => 1
([(0,4),(0,5),(1,6),(2,6),(3,7),(4,3),(4,8),(5,1),(5,2),(6,8),(8,7)],9) => 9
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,8)],9) => 16
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,3)],9) => 11
([(0,5),(0,6),(1,8),(2,7),(3,8),(4,8),(5,2),(6,1),(6,7),(7,3),(7,4)],9) => 5
([(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,5),(7,1),(7,2)],9) => 16
([(0,3),(0,7),(1,8),(2,8),(3,8),(4,6),(5,2),(6,5),(7,1),(7,4)],9) => 7
([(0,7),(1,8),(2,8),(3,8),(4,5),(5,6),(6,2),(6,3),(7,1),(7,4)],9) => 1
([(0,7),(1,8),(2,8),(3,5),(4,3),(5,2),(6,1),(7,4),(7,6)],9) => 1
([(0,6),(1,8),(2,7),(3,4),(4,1),(5,3),(5,7),(6,2),(6,5),(7,8)],9) => 1
([(0,6),(2,8),(3,7),(4,2),(5,4),(5,7),(6,3),(6,5),(7,8),(8,1)],9) => 1
([(0,6),(1,8),(2,7),(3,2),(4,3),(5,1),(5,7),(6,4),(6,5),(7,8)],9) => 1
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,2),(6,3),(7,1),(7,6)],9) => 7
([(0,5),(1,8),(2,8),(3,8),(4,8),(5,6),(6,4),(6,7),(7,1),(7,2),(7,3)],9) => 1
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8)],9) => 13
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,2),(4,7),(5,4),(6,1),(6,7),(7,3)],9) => 7
([(0,5),(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,3),(6,4),(7,1),(7,2)],9) => 13
([(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,3),(6,4),(7,1),(7,2),(7,6)],9) => 1
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,7),(6,2),(6,3),(6,7),(7,8)],9) => 9
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,2),(5,4),(6,1),(6,7),(7,8)],9) => 13
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,1),(5,4),(6,3),(6,8),(8,2)],9) => 7
([(0,3),(0,5),(1,8),(2,7),(3,8),(4,1),(4,7),(5,6),(6,2),(6,4),(7,8)],9) => 7
([(0,5),(1,8),(2,7),(3,7),(4,3),(4,8),(5,6),(6,1),(6,4),(8,2)],9) => 1
([(0,5),(0,6),(1,8),(2,7),(3,2),(4,1),(5,3),(6,4),(6,7),(7,8)],9) => 10
([(0,5),(0,6),(1,8),(3,7),(4,3),(5,4),(6,1),(6,7),(7,8),(8,2)],9) => 7
([(0,5),(1,8),(2,7),(3,1),(4,3),(4,7),(5,6),(6,2),(6,4),(7,8)],9) => 1
([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) => 1
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,8)],9) => 18
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2)],9) => 14
([(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3)],9) => 9
([(0,5),(0,6),(1,7),(2,8),(3,8),(4,8),(5,7),(6,1),(7,2),(7,3),(7,4)],9) => 3
([(0,3),(0,4),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,1),(6,2),(7,5)],9) => 18
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,2),(6,7),(7,1),(7,5)],9) => 12
([(0,3),(0,4),(0,5),(1,7),(2,7),(3,8),(4,8),(5,6),(6,1),(6,2),(7,8)],9) => 12
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3)],9) => 7
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(8,3),(8,4)],9) => 1
([(0,2),(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,8)],9) => 15
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,2)],9) => 10
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,1),(5,7),(6,5),(7,2),(7,3)],9) => 4
([(0,2),(0,3),(0,6),(1,8),(2,8),(3,7),(4,1),(5,4),(5,7),(6,5),(7,8)],9) => 11
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(5,4),(6,8),(8,7)],9) => 10
([(0,3),(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,4),(7,8),(8,5)],9) => 4
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,5),(4,8),(5,2),(6,4),(8,1)],9) => 5
([(0,3),(0,5),(1,7),(2,6),(3,8),(4,2),(4,8),(5,4),(6,7),(8,1),(8,6)],9) => 4
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,6),(4,7),(5,4),(6,1),(6,2),(7,8)],9) => 6
([(0,2),(0,5),(1,7),(2,6),(3,4),(3,6),(4,1),(4,8),(5,3),(6,8),(8,7)],9) => 5
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(6,7),(7,1),(7,2)],9) => 15
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,8),(5,3),(6,7),(7,1),(7,2),(7,5)],9) => 7
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,7),(7,8)],9) => 11
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,7),(7,3)],9) => 5
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,7),(7,1),(7,2),(7,3)],9) => 11
([(0,6),(1,8),(2,8),(3,8),(4,8),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],9) => 1
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(6,7),(7,8)],9) => 6
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,7),(5,6),(6,1),(6,2),(7,8)],9) => 11
([(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,1),(6,2),(6,3),(7,8)],9) => 7
([(0,5),(1,8),(2,8),(3,7),(4,7),(5,6),(6,1),(6,2),(6,4),(8,3)],9) => 1
([(0,4),(0,5),(1,8),(2,7),(3,7),(4,8),(5,6),(6,1),(6,3),(8,2)],9) => 5
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(8,7)],9) => 11
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,1),(6,2),(6,3),(8,7)],9) => 7
([(0,6),(2,8),(3,8),(4,8),(5,1),(6,7),(7,2),(7,3),(7,4),(8,5)],9) => 1
([(0,4),(0,6),(2,8),(3,8),(4,8),(5,1),(6,7),(7,2),(7,3),(8,5)],9) => 5
([(0,2),(0,3),(0,7),(1,8),(2,8),(3,8),(4,6),(5,4),(6,1),(7,5)],9) => 12
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2)],9) => 7
([(0,6),(1,8),(2,8),(3,8),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],9) => 1
([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,2),(6,1),(7,8)],9) => 16
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(8,3)],9) => 11
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(6,1),(8,3),(8,4)],9) => 5
([(0,3),(0,6),(0,7),(1,8),(2,8),(3,8),(4,2),(5,1),(6,4),(7,5)],9) => 16
([(0,3),(0,6),(1,8),(2,8),(3,8),(4,5),(5,2),(6,7),(7,1),(7,4)],9) => 7
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(4,7),(5,2),(6,4),(7,8)],9) => 13
([(0,5),(0,6),(1,8),(2,7),(3,7),(4,2),(4,8),(5,1),(6,4),(8,3)],9) => 7
([(0,5),(0,6),(1,8),(2,8),(3,8),(4,1),(5,4),(6,7),(7,2),(7,3)],9) => 13
([(0,6),(1,8),(2,8),(3,8),(4,5),(5,3),(6,7),(7,1),(7,2),(7,4)],9) => 1
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,3),(5,6),(6,1),(6,2),(6,7),(7,8)],9) => 9
([(0,5),(1,8),(2,8),(3,8),(4,7),(5,6),(6,3),(6,4),(7,1),(7,2)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,2),(3,7),(4,1),(4,7),(5,3),(6,4),(7,8)],9) => 10
([(0,3),(0,5),(0,6),(1,7),(2,7),(3,8),(4,1),(5,2),(6,4),(7,8)],9) => 13
([(0,3),(0,5),(1,7),(2,7),(3,8),(4,2),(5,6),(6,1),(6,4),(7,8)],9) => 7
([(0,6),(2,8),(3,8),(4,3),(5,1),(6,7),(7,2),(7,4),(8,5)],9) => 1
([(0,6),(0,7),(2,8),(3,8),(4,2),(5,1),(6,4),(7,3),(8,5)],9) => 7
([(0,2),(0,3),(0,4),(0,6),(1,7),(2,8),(3,8),(4,7),(5,1),(6,5),(7,8)],9) => 15
([(0,3),(0,4),(0,6),(1,8),(2,7),(3,8),(4,7),(5,1),(6,5),(8,2)],9) => 10
([(0,4),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,5),(8,2),(8,3)],9) => 4
([(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,3),(6,2),(7,1)],9) => 19
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,8)],9) => 17
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,6),(5,7),(6,8),(7,8)],9) => 14
([(0,2),(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(5,4),(5,6),(5,7),(6,8),(7,8)],9) => 10
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(4,6),(5,8),(6,7),(7,8)],9) => 9
([(0,3),(0,4),(0,5),(1,8),(3,7),(4,6),(5,1),(5,6),(5,7),(6,8),(7,8),(8,2)],9) => 8
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,2),(5,6),(5,7),(6,8),(7,1)],9) => 9
([(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,1),(4,5),(4,6),(5,8),(6,8),(8,7)],9) => 8
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,8),(3,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9) => 14
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,8),(5,2),(5,8),(6,7),(8,1)],9) => 9
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,7),(5,1),(5,6),(6,8),(8,7)],9) => 13
([(0,3),(0,4),(0,6),(2,8),(3,8),(4,7),(5,1),(6,2),(6,7),(7,8),(8,5)],9) => 7
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(5,2),(5,8),(6,7),(8,1)],9) => 9
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,3),(5,8),(6,7),(8,1),(8,2)],9) => 3
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,8),(5,1),(5,7),(7,2),(7,8),(8,6)],9) => 8
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,7),(5,2),(5,7),(6,8),(7,8),(8,1)],9) => 8
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,8),(4,6),(5,2),(5,6),(6,7),(8,1)],9) => 9
([(0,4),(0,6),(2,7),(3,7),(4,8),(5,1),(6,2),(6,8),(7,5),(8,3)],9) => 3
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,1),(5,2),(6,4),(6,7),(7,8)],9) => 14
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(5,6),(5,7),(6,1),(6,4),(7,8)],9) => 6
([(0,3),(0,4),(1,7),(2,8),(3,6),(4,5),(4,6),(5,1),(5,2),(6,8),(8,7)],9) => 5
([(0,2),(0,5),(1,7),(2,6),(3,1),(4,3),(4,8),(5,4),(5,6),(6,8),(8,7)],9) => 5
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,7),(4,1),(4,7),(5,4),(5,6),(6,8),(7,8)],9) => 10
([(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(4,6),(5,4),(5,8),(6,7),(8,2)],9) => 4
([(0,2),(0,3),(0,5),(1,7),(2,8),(3,6),(4,1),(4,8),(5,4),(5,6),(6,8),(8,7)],9) => 9
([(0,2),(0,3),(0,4),(1,5),(1,7),(2,5),(3,6),(4,1),(4,6),(5,8),(6,7),(7,8)],9) => 9
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,1),(6,4),(6,8),(8,5)],9) => 4
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(5,1),(5,6),(6,4),(6,8),(8,7)],9) => 3
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,8),(4,1),(5,4),(5,6),(6,8),(8,7)],9) => 9
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,6),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => 8
([(0,3),(0,4),(0,5),(2,8),(3,7),(4,6),(5,2),(5,6),(6,7),(7,8),(8,1)],9) => 7
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,1),(5,2),(5,6),(6,8),(8,7)],9) => 13
([(0,3),(0,4),(0,5),(2,7),(3,8),(4,6),(5,2),(5,6),(6,7),(7,8),(8,1)],9) => 8
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,2),(5,1),(6,4),(6,8),(8,7)],9) => 12
([(0,4),(0,5),(0,6),(1,8),(2,7),(4,8),(5,1),(6,2),(6,8),(7,3),(8,7)],9) => 9
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6),(6,8),(7,8)],9) => 10
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,5),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => 6
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => 4
([(0,4),(0,5),(1,8),(2,8),(4,7),(5,6),(5,7),(6,1),(6,2),(7,8),(8,3)],9) => 5
([(0,4),(0,6),(1,7),(3,7),(4,8),(5,1),(6,5),(6,8),(7,2),(8,3)],9) => 4
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => 3
([(0,3),(0,4),(0,6),(1,8),(3,8),(4,7),(5,1),(6,5),(6,7),(7,8),(8,2)],9) => 9
([(0,3),(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,5)],9) => 9
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,1),(5,6),(6,7),(7,8)],9) => 13
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,2),(5,7),(7,8),(8,1)],9) => 7
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3)],9) => 13
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(6,1),(6,7),(7,3),(7,5)],9) => 3
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,2),(5,7),(6,8),(7,1),(7,6)],9) => 8
([(0,2),(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,7),(5,1),(5,7),(6,8),(7,8)],9) => 15
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,7),(5,2),(5,7),(6,8),(7,1)],9) => 10
([(0,1),(0,2),(0,3),(0,4),(1,8),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8)],9) => 14
([(0,2),(0,3),(0,4),(1,8),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,1)],9) => 10
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9) => 8
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(4,7),(5,2),(5,6),(6,8),(7,1)],9) => 11
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,8),(6,8),(8,7)],9) => 9
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(5,4),(5,7),(6,8),(7,8)],9) => 12
([(0,2),(0,3),(0,4),(1,7),(2,5),(3,5),(3,6),(4,1),(4,6),(5,8),(6,7),(7,8)],9) => 10
([(0,3),(0,4),(0,5),(1,8),(3,6),(4,6),(4,7),(5,1),(5,7),(6,8),(7,8),(8,2)],9) => 9
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,2),(5,7),(6,1),(6,7),(7,8)],9) => 15
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,1),(5,2),(5,7),(6,4),(6,7),(7,8)],9) => 12
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,1),(4,8),(5,2),(5,8),(6,7),(8,6)],9) => 9
([(0,4),(0,5),(0,6),(2,8),(3,8),(4,7),(5,3),(5,7),(6,2),(6,7),(7,8),(8,1)],9) => 9
([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,8),(5,3),(5,8),(6,2),(6,8),(8,1)],9) => 9
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,8)],9) => 15
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,1),(4,6),(5,2),(5,7),(6,8),(7,8)],9) => 12
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,2),(5,6),(6,4),(7,8)],9) => 3
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,2),(4,8),(5,1),(5,6),(6,8),(8,7)],9) => 11
([(0,4),(0,5),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(7,6)],9) => 3
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,2),(4,7),(5,1),(5,6),(6,7),(7,8)],9) => 11
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => 12
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(5,7),(6,1),(6,2),(6,7),(7,8)],9) => 12
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,6),(4,7),(5,1),(5,2),(6,8),(7,8)],9) => 12
([(0,3),(0,5),(1,6),(2,6),(2,7),(3,7),(4,2),(5,1),(5,4),(6,8),(7,8)],9) => 6
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,6),(4,6),(4,8),(5,1),(5,2),(6,7),(8,7)],9) => 12
([(0,5),(1,6),(2,7),(3,6),(3,7),(4,2),(4,3),(5,1),(5,4),(6,8),(7,8)],9) => 1
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => 9
([(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,3),(5,4),(6,1),(6,5),(7,8)],9) => 1
([(0,6),(1,8),(2,7),(3,5),(4,2),(5,1),(5,7),(6,3),(6,4),(7,8)],9) => 1
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,2),(5,7),(6,1),(6,3),(7,8)],9) => 12
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,3),(5,8),(6,1),(6,4),(8,7)],9) => 9
([(0,6),(1,8),(2,8),(3,7),(4,3),(4,8),(5,2),(5,4),(6,1),(6,5),(8,7)],9) => 1
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,8),(5,3),(5,8),(6,1),(6,2),(8,7)],9) => 12
([(0,2),(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(4,7),(5,1),(6,8),(7,8)],9) => 15
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,6),(4,8),(5,2),(6,7),(8,1)],9) => 10
([(0,3),(0,4),(0,5),(1,7),(2,6),(3,8),(4,6),(4,8),(5,2),(6,7),(8,1)],9) => 11
([(0,3),(0,4),(0,5),(2,6),(3,7),(4,6),(4,7),(5,2),(6,8),(7,8),(8,1)],9) => 9
([(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,8),(4,7),(5,2),(6,1),(6,7),(7,8)],9) => 15
([(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(4,8),(5,1),(6,2),(6,8),(8,3)],9) => 9
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8)],9) => 15
([(0,2),(0,6),(1,8),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7),(7,8)],9) => 6
([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) => 3
([(0,3),(0,6),(2,8),(3,7),(4,5),(5,2),(6,4),(6,7),(7,8),(8,1)],9) => 5
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,7),(6,8),(7,8)],9) => 12
([(0,4),(0,6),(1,8),(3,8),(4,7),(5,3),(6,1),(6,7),(7,5),(8,2)],9) => 3
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,7),(5,2),(6,1),(6,7),(7,8),(8,3)],9) => 11
([(0,3),(0,6),(1,7),(2,7),(3,8),(4,2),(5,4),(6,1),(6,8),(8,5)],9) => 3
([(0,3),(0,4),(0,5),(1,7),(2,8),(3,6),(4,2),(5,1),(5,6),(6,8),(8,7)],9) => 11
([(0,3),(0,5),(1,8),(2,8),(3,7),(4,2),(4,7),(5,6),(6,1),(6,4),(7,8)],9) => 6
([(0,2),(0,3),(0,5),(1,8),(2,6),(3,6),(3,7),(4,1),(4,7),(5,4),(6,8),(7,8)],9) => 12
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,7),(6,2),(6,3),(7,8)],9) => 9
([(0,5),(1,8),(2,8),(3,7),(4,2),(4,7),(5,6),(6,1),(6,3),(6,4),(7,8)],9) => 1
([(0,3),(0,5),(0,6),(1,8),(2,8),(3,7),(4,2),(4,7),(5,4),(6,1),(6,7),(7,8)],9) => 12
([(0,2),(0,3),(0,5),(1,7),(2,6),(3,6),(3,7),(4,1),(5,4),(6,8),(7,8)],9) => 12
([(0,3),(0,4),(1,6),(2,6),(2,7),(3,7),(4,5),(5,1),(5,2),(6,8),(7,8)],9) => 6
([(0,4),(1,7),(2,6),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3),(6,8),(7,8)],9) => 1
([(0,3),(0,5),(0,6),(1,8),(2,7),(3,8),(4,1),(5,4),(6,2),(6,8),(8,7)],9) => 12
([(0,3),(0,5),(1,8),(2,7),(3,8),(4,2),(4,8),(5,6),(6,1),(6,4),(8,7)],9) => 6
([(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,3),(5,8),(6,1),(6,2),(8,7)],9) => 9
([(0,5),(1,8),(2,8),(3,7),(4,3),(4,8),(5,6),(6,1),(6,2),(6,4),(8,7)],9) => 1
([(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,4),(6,3),(7,1),(7,2)],9) => 17
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,7),(7,8)],9) => 14
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,2),(5,6),(5,7),(6,8),(7,8)],9) => 10
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,2),(6,1),(6,4),(6,7),(7,8)],9) => 6
([(0,3),(0,5),(1,7),(2,8),(3,6),(4,2),(5,1),(5,4),(5,6),(6,8),(8,7)],9) => 5
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,2),(5,7),(6,8),(7,8)],9) => 10
([(0,4),(0,5),(1,7),(2,6),(3,6),(4,8),(5,1),(5,3),(5,8),(6,7),(8,2)],9) => 4
([(0,3),(0,4),(0,5),(1,8),(2,7),(3,8),(4,6),(5,1),(5,2),(5,6),(6,8),(8,7)],9) => 9
([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7),(6,8),(7,8)],9) => 6
([(0,4),(0,5),(2,7),(3,8),(4,6),(5,2),(5,3),(5,6),(6,7),(7,8),(8,1)],9) => 4
([(0,4),(0,6),(1,8),(2,8),(4,7),(5,2),(6,1),(6,5),(6,7),(7,8),(8,3)],9) => 5
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,8),(4,6),(5,1),(5,2),(5,6),(6,7),(8,7)],9) => 10
([(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,4),(8,3)],9) => 4
([(0,4),(0,5),(0,6),(1,8),(2,8),(4,8),(5,7),(6,1),(6,2),(6,7),(7,8),(8,3)],9) => 9
([(0,4),(0,6),(1,8),(2,8),(3,8),(4,7),(5,3),(6,1),(6,2),(6,7),(7,5)],9) => 4
([(0,3),(0,4),(0,5),(1,8),(2,8),(3,7),(4,6),(5,1),(5,2),(5,6),(6,7),(7,8)],9) => 9
([(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,2),(5,1),(5,6),(5,7),(6,8),(7,8)],9) => 12
([(0,5),(0,6),(1,8),(2,8),(3,7),(4,3),(5,4),(6,1),(6,2),(6,7),(7,8)],9) => 10
([(0,4),(1,8),(2,8),(3,7),(4,5),(5,3),(5,6),(6,1),(6,2),(6,7),(7,8)],9) => 1
([(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(6,1),(6,2),(6,7),(7,8)],9) => 12
([(0,6),(0,7),(1,8),(2,8),(3,8),(4,5),(5,3),(6,1),(7,2),(7,4)],9) => 11
([(0,7),(1,8),(2,8),(3,8),(4,3),(5,2),(6,4),(6,5),(7,1),(7,6)],9) => 1
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,2),(5,4),(5,7),(6,1),(6,5),(7,8)],9) => 6
([(0,3),(0,5),(1,7),(2,8),(3,6),(4,2),(4,6),(5,1),(5,4),(6,8),(8,7)],9) => 5
([(0,7),(1,8),(2,8),(3,8),(4,6),(5,3),(6,2),(6,5),(7,1),(7,4)],9) => 1
([(0,3),(0,6),(1,8),(2,8),(3,7),(4,5),(5,1),(5,7),(6,2),(6,4),(7,8)],9) => 6
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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 2,1,1,1 5,1,2,3,2,1,1 15,2,3,7,9,4,5,4,2,1,1 53,5,7,14,28,21,19,16,18,16,9,7,5,2,1,1
$F_{1} = q$
$F_{2} = q$
$F_{3} = q$
$F_{4} = q + q^{2}$
$F_{5} = 2\ q + q^{2} + q^{3} + q^{4}$
$F_{6} = 5\ q + q^{2} + 2\ q^{3} + 3\ q^{4} + 2\ q^{5} + q^{6} + q^{7}$
$F_{7} = 15\ q + 2\ q^{2} + 3\ q^{3} + 7\ q^{4} + 9\ q^{5} + 4\ q^{6} + 5\ q^{7} + 4\ q^{8} + 2\ q^{9} + q^{10} + q^{11}$
$F_{8} = 53\ q + 5\ q^{2} + 7\ q^{3} + 14\ q^{4} + 28\ q^{5} + 21\ q^{6} + 19\ q^{7} + 16\ q^{8} + 18\ q^{9} + 16\ q^{10} + 9\ q^{11} + 7\ q^{12} + 5\ q^{13} + 2\ q^{14} + q^{15} + q^{16}$
Description
The number of inclusion-wise minimal subsets of a lattice, whose meet is the bottom element.
For example, the pentagon lattice has three such sets: the bottom element, and the two antichains of size two. The cube is the smallest lattice which has such sets of three different sizes: the bottom element, six antichains of size two and one antichain of size three.
For example, the pentagon lattice has three such sets: the bottom element, and the two antichains of size two. The cube is the smallest lattice which has such sets of three different sizes: the bottom element, six antichains of size two and one antichain of size three.
Code
def statistic(L):
b = L.bottom()
ls = []
for s in subsets(L):
if s and L.meet(s) == b:
s = set(s)
if not any(r.issubset(s) for r in ls):
ls.append(s)
return len(ls)
Created
Feb 08, 2021 at 19:00 by Martin Rubey
Updated
Feb 08, 2021 at 19:00 by Martin Rubey
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