Identifier
-
Mp00037:
Graphs
—to partition of connected components⟶
Integer partitions
Mp00043: Integer partitions —to Dyck path⟶ Dyck paths
St000979: Dyck paths ⟶ ℤ
Values
([],1) => [1] => [1,0,1,0] => 0
([],2) => [1,1] => [1,0,1,1,0,0] => 4
([(0,1)],2) => [2] => [1,1,0,0,1,0] => 2
([],3) => [1,1,1] => [1,0,1,1,1,0,0,0] => 10
([(1,2)],3) => [2,1] => [1,0,1,0,1,0] => 0
([(0,2),(1,2)],3) => [3] => [1,1,1,0,0,0,1,0] => 6
([(0,1),(0,2),(1,2)],3) => [3] => [1,1,1,0,0,0,1,0] => 6
([],4) => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 18
([(2,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => 5
([(1,3),(2,3)],4) => [3,1] => [1,1,0,1,0,0,1,0] => 3
([(0,3),(1,3),(2,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 12
([(0,3),(1,2)],4) => [2,2] => [1,1,0,0,1,1,0,0] => 8
([(0,3),(1,2),(2,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 12
([(1,2),(1,3),(2,3)],4) => [3,1] => [1,1,0,1,0,0,1,0] => 3
([(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 12
([(0,2),(0,3),(1,2),(1,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 12
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 12
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => 12
([],5) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 28
([(3,4)],5) => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => 12
([(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => 4
([(1,4),(2,4),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 8
([(0,4),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(1,4),(2,3)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => 6
([(1,4),(2,3),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 8
([(0,1),(2,4),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => 2
([(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => 4
([(0,4),(1,4),(2,3),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 8
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(1,3),(1,4),(2,3),(2,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 8
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 8
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,4),(1,3),(2,3),(2,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,1),(2,3),(2,4),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => 2
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 8
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 20
([],6) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 40
([(4,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 21
([(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 11
([(2,5),(3,5),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 9
([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(2,5),(3,4)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 13
([(2,5),(3,4),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 9
([(1,2),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => 0
([(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 11
([(1,5),(2,5),(3,4),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 7
([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 9
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(2,4),(2,5),(3,4),(3,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 9
([(0,5),(1,5),(2,4),(3,4)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 14
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 9
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,4),(2,3)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 16
([(1,5),(2,4),(3,4),(3,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,1),(2,5),(3,4),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 7
([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => 0
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 7
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
>>> Load all 2095 entries. <<<([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 7
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 14
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 7
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 9
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 14
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 7
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 15
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
([],7) => [1,1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 54
([(5,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 32
([(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 20
([(3,6),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 10
([(2,6),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(3,6),(4,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 22
([(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 10
([(2,3),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 6
([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 20
([(2,6),(3,6),(4,5),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,2),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 4
([(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 10
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(3,5),(3,6),(4,5),(4,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 10
([(1,6),(2,6),(3,5),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 11
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 10
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => 14
([(2,6),(3,5),(4,5),(4,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,2),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 4
([(0,3),(1,2),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 9
([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 6
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 4
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 4
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 11
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 4
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 10
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(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) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 9
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 11
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 4
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 16
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,3),(0,4),(1,2),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,3),(1,5),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,5),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,6),(1,2),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,6),(1,2),(1,4),(1,5),(2,3),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,5),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 6
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 14
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([],0) => [] => [] => 0
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,4),(0,5),(0,7),(0,8),(1,2),(1,3),(1,7),(1,8),(2,3),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(4,9),(5,6),(5,8),(6,7),(6,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,3),(2,5),(2,7),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,2),(0,5),(0,7),(1,2),(1,4),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(1,2),(1,4),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,3),(0,4),(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,2),(0,3),(0,7),(0,8),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,9),(3,5),(3,6),(3,9),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,7),(0,8),(1,2),(1,3),(1,5),(1,6),(2,6),(2,8),(3,5),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,2),(0,5),(1,3),(1,4),(1,7),(2,4),(2,6),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,3),(0,7),(1,2),(1,6),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(0,8),(1,2),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,7),(1,8),(2,3),(2,6),(2,8),(3,4),(3,6),(4,7),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(2,8),(3,4),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,1),(0,5),(0,6),(0,8),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,7),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(3,8),(4,5),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,5),(0,7),(0,8),(1,2),(1,4),(1,6),(1,8),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,7),(1,9),(2,3),(2,5),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,6),(4,9),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,3),(0,4),(0,7),(1,2),(1,5),(1,7),(1,8),(2,3),(2,6),(2,8),(3,6),(3,8),(4,5),(4,6),(4,7),(5,6),(5,7),(5,8),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,1),(0,5),(0,7),(0,8),(1,4),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,8),(4,6),(4,7),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,3),(0,5),(0,7),(0,9),(1,2),(1,4),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,6),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(3,6),(3,8),(4,5),(4,7),(5,8),(6,7)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,1),(0,2),(0,7),(0,8),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(3,8),(3,9),(4,5),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,1),(0,6),(0,7),(0,9),(1,4),(1,5),(1,8),(2,3),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,9),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,4),(0,5),(1,2),(1,3),(1,7),(2,3),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(1,2),(1,3),(1,7),(1,8),(2,3),(2,6),(2,8),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,8),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(3,6),(3,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,5),(2,7),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,6),(2,8),(3,5),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,6),(2,7),(2,8),(3,4),(3,5),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,4),(0,5),(0,8),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,7),(2,9),(3,4),(3,6),(3,9),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,1),(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,4),(0,8),(1,3),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,7),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,3),(0,4),(0,8),(0,9),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,6),(3,8),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,7),(4,8),(5,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,2),(0,5),(0,6),(0,8),(1,2),(1,3),(1,4),(1,7),(2,7),(2,8),(3,4),(3,5),(3,7),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,6),(1,8),(1,9),(2,5),(2,7),(2,9),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,1),(0,5),(0,6),(1,4),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,9),(3,4),(3,5),(3,7),(3,8),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,3),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,8),(2,4),(2,5),(2,7),(3,5),(3,6),(3,9),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,7),(0,8),(0,9),(1,2),(1,3),(1,5),(1,6),(1,9),(2,3),(2,4),(2,6),(2,8),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,1),(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(3,7),(4,7),(5,7),(6,7)],8) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 17
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([],8) => [1,1,1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 70
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,7),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,7),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(4,7),(5,6)],8) => [2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 33
([(4,7),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
([(4,6),(4,7),(5,6),(5,7)],8) => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 19
([(2,7),(3,7),(4,6),(5,6)],8) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 12
([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 17
([(1,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,7),(2,6),(3,4),(3,5),(4,6),(5,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 12
([(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 3
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
([(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,3),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 3
([(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,4),(1,7),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
([(0,7),(1,6),(2,5),(3,4)],8) => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => 26
([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 8
([(0,3),(1,2),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 8
([(0,1),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,5),(0,7),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(0,7),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,5),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,2),(1,7),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,2),(1,4),(2,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,2),(1,6),(2,5),(3,4),(3,5),(3,7),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(1,2),(1,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(5,6),(5,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(2,7),(3,5),(3,8),(4,6),(4,8),(5,6),(5,7),(6,8),(7,8)],9) => [7,1,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 36
([(1,2),(1,7),(1,9),(2,6),(2,8),(3,4),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10) => [9,1] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 63
([(0,3),(1,2),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 8
([(0,1),(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,2),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,7),(1,2),(1,3),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(1,4),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(1,2),(1,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,8),(1,7),(2,6),(3,6),(3,8),(4,7),(4,8),(5,6),(5,7),(5,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,8),(1,7),(2,5),(2,6),(3,7),(3,9),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,7),(1,3),(1,8),(2,7),(2,8),(3,5),(4,5),(4,6),(5,8),(6,7),(6,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,6),(0,7),(1,2),(1,3),(2,5),(3,4),(4,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,8),(1,4),(1,8),(2,3),(2,6),(3,7),(4,5),(4,6),(5,7),(5,8),(6,7)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,8),(1,5),(1,7),(2,4),(2,6),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,9),(7,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,1),(0,3),(1,2),(2,4),(3,5),(4,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,4),(1,2),(1,5),(2,7),(3,5),(3,6),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,2),(1,9),(2,6),(3,7),(3,9),(4,6),(4,8),(5,7),(6,9),(7,8),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,9),(1,3),(1,8),(2,8),(2,9),(3,5),(4,7),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(3,8),(4,7),(5,6),(6,8),(7,8)],9) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 26
([(4,9),(5,8),(6,7),(7,9),(8,9)],10) => [6,1,1,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 27
([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9) => [6,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 26
([(3,6),(3,9),(4,5),(4,9),(5,8),(6,8),(7,8),(7,9),(8,9)],10) => [7,1,1,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 37
([(2,6),(2,10),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => [9,1,1] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 64
([(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => [8,1,1] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 49
([(3,10),(4,9),(5,8),(5,9),(6,7),(6,10),(7,8),(7,9),(8,10),(9,10)],11) => [8,1,1,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 50
([(5,10),(6,9),(7,8),(8,10),(9,10)],11) => [6,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 28
([(3,8),(4,10),(5,9),(6,7),(6,10),(7,9),(8,10),(9,10)],11) => [8,1,1,1] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 50
([(3,8),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10) => [7,1,1,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 37
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(1,5),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,6),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,3),(1,4),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,5),(1,7),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,2),(2,3),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,7),(1,2),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,7),(2,3),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(2,4),(3,6),(4,5),(6,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,7),(1,6),(2,3),(2,6),(3,6),(4,5),(4,7),(5,7)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 22
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,4),(1,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,6),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,2),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,6),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,6),(1,6),(2,7),(3,4),(3,5),(4,7),(5,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,1),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,2),(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(1,3),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,2),(1,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,4),(1,7),(2,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,5),(2,6),(3,4),(3,7),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,7),(2,6),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,5),(1,7),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(0,8),(1,5),(1,6),(2,3),(2,4),(3,6),(3,8),(4,5),(4,7),(5,8),(6,7)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,7),(0,8),(0,9),(1,4),(1,6),(1,9),(2,3),(2,6),(2,8),(3,5),(3,9),(4,5),(4,8),(5,7),(6,7)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,7),(1,6),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(2,5),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,5),(2,3),(2,6),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,5),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,8),(1,6),(1,7),(2,3),(2,4),(2,5),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,8),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(3,8),(4,6),(5,6),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,3),(0,7),(0,8),(1,2),(1,5),(1,6),(2,7),(2,8),(3,5),(3,6),(4,5),(4,6),(4,7),(4,8),(5,8),(6,7)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,9),(1,4),(1,7),(1,8),(2,3),(2,5),(2,6),(3,7),(3,8),(4,5),(4,6),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(0,8),(1,5),(1,6),(2,6),(2,8),(3,5),(3,7),(4,5),(4,6),(4,7),(4,8),(5,8),(6,7)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,5),(0,7),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,7),(2,3),(2,6),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(0,8),(1,6),(1,8),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,8),(5,8),(6,7),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(0,8),(1,4),(1,6),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(4,7),(4,8),(5,6),(5,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,6),(2,7),(3,5),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(6,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,8),(0,9),(1,5),(1,7),(1,9),(2,4),(2,7),(2,8),(3,4),(3,5),(3,7),(4,6),(4,9),(5,6),(5,8),(6,8),(6,9),(7,8),(7,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,6),(0,7),(1,2),(1,3),(1,8),(2,5),(2,7),(3,4),(3,6),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,5),(0,8),(1,4),(1,7),(2,3),(2,6),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,7),(0,8),(1,5),(1,6),(2,4),(2,6),(2,8),(3,4),(3,5),(3,7),(4,9),(5,8),(5,9),(6,7),(6,9),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,4),(2,6),(3,5),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(6,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,7),(0,8),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,8),(5,7),(5,8),(6,7),(6,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,7),(0,9),(1,6),(1,8),(2,3),(2,4),(2,5),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,9),(6,9),(7,8),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,7),(0,8),(0,9),(1,5),(1,6),(1,8),(1,9),(2,3),(2,4),(2,8),(2,9),(3,6),(3,7),(3,9),(4,5),(4,7),(4,8),(5,7),(5,9),(6,7),(6,8)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,6),(0,7),(0,9),(1,4),(1,5),(1,8),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,7),(4,9),(5,6),(5,9),(6,8),(7,8)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,6),(0,7),(1,5),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(0,8),(1,6),(1,8),(2,5),(2,8),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,3),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,5),(1,7),(1,8),(2,5),(2,6),(2,8),(3,4),(3,5),(3,6),(3,7),(4,5),(4,8),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(3,5),(3,8),(4,5),(4,8),(5,7),(6,7),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,7),(0,8),(1,4),(1,6),(1,7),(2,3),(2,6),(2,8),(3,5),(3,7),(4,5),(4,8),(5,6),(5,8),(6,7),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,7),(0,8),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(3,5),(3,8),(4,5),(4,8),(5,6),(5,7),(6,7),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,8),(0,9),(1,6),(1,7),(1,9),(2,5),(2,7),(2,9),(3,5),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,8),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,3),(0,6),(0,7),(0,9),(1,2),(1,4),(1,5),(1,9),(2,6),(2,7),(2,9),(3,4),(3,5),(3,9),(4,7),(4,8),(5,6),(5,8),(6,8),(7,8),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,1),(0,4),(0,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(0,8),(1,5),(1,7),(1,8),(2,4),(2,5),(2,8),(3,4),(3,6),(3,7),(4,7),(4,8),(5,6),(5,7),(6,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,7),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,8),(5,8),(5,9),(6,7),(6,9),(7,8)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,7),(0,8),(0,9),(1,2),(1,5),(1,6),(1,9),(2,3),(2,4),(2,8),(3,6),(3,7),(3,8),(4,5),(4,7),(4,9),(5,7),(5,8),(6,7),(6,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,5),(0,6),(0,9),(1,4),(1,8),(1,9),(2,3),(2,7),(2,9),(3,4),(3,5),(3,8),(4,6),(4,7),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,5),(0,7),(0,9),(1,4),(1,6),(1,9),(2,3),(2,8),(2,9),(3,4),(3,5),(3,9),(4,7),(4,8),(5,6),(5,8),(6,8),(6,9),(7,8),(7,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,5),(0,8),(0,9),(1,4),(1,7),(1,9),(2,3),(2,7),(2,8),(3,6),(3,9),(4,6),(4,8),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,5),(0,8),(0,9),(1,4),(1,7),(1,9),(2,3),(2,6),(2,9),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,9),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,4),(0,5),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
([(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,5),(1,7),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,4),(1,7),(2,6),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,4),(2,4),(2,7),(3,5),(3,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,2),(1,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,3),(0,4),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,1),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,7),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,3),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(1,2),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,7),(2,7),(3,4),(3,5),(4,5),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,7),(1,2),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(1,2),(1,4),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,3),(1,7),(2,6),(2,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,3),(1,7),(2,4),(2,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(0,7),(1,2),(1,7),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,8),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,2),(0,4),(0,5),(0,7),(0,8),(1,2),(1,3),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,5),(1,6),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,6),(1,6),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,2),(1,7),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,5),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,1),(0,4),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,3),(1,6),(2,4),(2,5),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,5),(1,4),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,3),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(2,3),(3,7),(4,5),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,2),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,2),(1,4),(1,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,3),(1,7),(2,4),(2,6),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,6),(1,7),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,6),(1,7),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,3),(0,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(1,3),(1,4),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(1,2),(1,3),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,4),(0,5),(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,5),(1,6),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,3),(1,6),(2,4),(2,5),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,3),(1,4),(1,7),(2,4),(2,5),(2,7),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(0,3),(0,6),(1,2),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(0,4),(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,7),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,5),(2,3),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7)],9) => [8,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 48
([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(1,6),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(2,3),(2,4),(3,4),(5,6),(5,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,4),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,2),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(2,5),(2,7),(3,4),(3,6),(4,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(1,6),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(1,2),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 13
([(0,6),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,5),(2,3),(2,6),(3,6),(4,6),(4,7),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,2),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(1,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(1,7),(2,3),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,2),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,4),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,3),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,2),(1,4),(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,6),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,2),(1,6),(1,7),(2,4),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,2),(0,3),(0,5),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,1),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,5),(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
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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:
1,0,1 1,0,0,0,0,0,2,0,0,0,1 2,0,1,0,0,1,0,0,0,6,0,0,0,0,0,1 2,0,2,0,1,0,6,0,0,0,1,0,0,0,0,0,0,0,21,0,0,0,0,0,0,0,1 2,0,0,0,0,0,0,6,0,6,0,2,0,1,3,21,1,0,0,0,0,1,0,0,0,0,0,0,0,0,112,0,0,0,0,0,0,0,0,0,1
$F_{1} = 1$
$F_{2} = q^{2} + q^{4}$
$F_{3} = 1 + 2\ q^{6} + q^{10}$
$F_{4} = 2\ q^{3} + q^{5} + q^{8} + 6\ q^{12} + q^{18}$
$F_{5} = 2\ q^{2} + 2\ q^{4} + q^{6} + 6\ q^{8} + q^{12} + 21\ q^{20} + q^{28}$
$F_{6} = 2 + 6\ q^{7} + 6\ q^{9} + 2\ q^{11} + q^{13} + 3\ q^{14} + 21\ q^{15} + q^{16} + q^{21} + 112\ q^{30} + q^{40}$
$F_{7} = 6\ q^{4} + 14\ q^{6} + 2\ q^{9} + 6\ q^{10} + 3\ q^{11} + 22\ q^{14} + 21\ q^{16} + 2\ q^{20} + q^{22} + 112\ q^{24} + q^{32} + 853\ q^{42} + q^{54}$
Description
Half of MacMahon's equal index of a Dyck path.
This is half the sum of the positions of double (up- or down-)steps of a Dyck path, see [1, p. 135].
This is half the sum of the positions of double (up- or down-)steps of a Dyck path, see [1, p. 135].
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to partition of connected components
Description
Return the partition of the sizes of the connected components of the graph.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.
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