Identifier
-
Mp00324:
Graphs
—chromatic difference sequence⟶
Integer compositions
Mp00231: Integer compositions —bounce path⟶ Dyck paths
St000027: Dyck paths ⟶ ℤ
Values
([],1) => [1] => [1,0] => 0
([],2) => [2] => [1,1,0,0] => 0
([(0,1)],2) => [1,1] => [1,0,1,0] => 2
([],3) => [3] => [1,1,1,0,0,0] => 0
([(1,2)],3) => [2,1] => [1,1,0,0,1,0] => 4
([(0,2),(1,2)],3) => [2,1] => [1,1,0,0,1,0] => 4
([(0,1),(0,2),(1,2)],3) => [1,1,1] => [1,0,1,0,1,0] => 6
([],4) => [4] => [1,1,1,1,0,0,0,0] => 0
([(2,3)],4) => [3,1] => [1,1,1,0,0,0,1,0] => 6
([(1,3),(2,3)],4) => [3,1] => [1,1,1,0,0,0,1,0] => 6
([(0,3),(1,3),(2,3)],4) => [3,1] => [1,1,1,0,0,0,1,0] => 6
([(0,3),(1,2)],4) => [2,2] => [1,1,0,0,1,1,0,0] => 4
([(0,3),(1,2),(2,3)],4) => [2,2] => [1,1,0,0,1,1,0,0] => 4
([(1,2),(1,3),(2,3)],4) => [2,1,1] => [1,1,0,0,1,0,1,0] => 10
([(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [1,1,0,0,1,0,1,0] => 10
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2] => [1,1,0,0,1,1,0,0] => 4
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [1,1,0,0,1,0,1,0] => 10
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [1,1,1,1] => [1,0,1,0,1,0,1,0] => 12
([],5) => [5] => [1,1,1,1,1,0,0,0,0,0] => 0
([(3,4)],5) => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 8
([(2,4),(3,4)],5) => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 8
([(1,4),(2,4),(3,4)],5) => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 8
([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 8
([(1,4),(2,3)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 6
([(1,4),(2,3),(3,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 6
([(0,1),(2,4),(3,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 6
([(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 14
([(0,4),(1,4),(2,3),(3,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 6
([(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 14
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 14
([(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 6
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 6
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 14
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 14
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 14
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 6
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 14
([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 6
([(0,1),(2,3),(2,4),(3,4)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 12
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 12
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 12
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 12
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 12
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 12
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 12
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 18
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 18
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 18
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 12
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 12
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 18
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0] => 20
([],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
([(4,5)],6) => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 10
([(3,5),(4,5)],6) => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 10
([(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 10
([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 10
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 10
([(2,5),(3,4)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(2,5),(3,4),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(1,2),(3,5),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(1,5),(2,5),(3,4),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(0,5),(1,5),(2,4),(3,4)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 18
([(0,5),(1,4),(2,3)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 8
([(0,1),(2,5),(3,4),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
>>> Load all 1252 entries. <<<([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 14
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(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) => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 24
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 16
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(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) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 28
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 28
([(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) => [2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 28
([(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) => [2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 28
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(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) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(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) => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 12
([(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) => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 22
([(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) => [2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 28
([(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) => [1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 30
([],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0
([(5,6)],7) => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 12
([(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 12
([(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 12
([(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 12
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 12
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 12
([(3,6),(4,5)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(3,6),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(2,3),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,2),(3,6),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,6),(2,6),(3,5),(4,5)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22
([(1,6),(2,5),(3,4)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(2,6),(3,5),(4,5),(4,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10
([(1,2),(3,6),(4,5),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,3),(1,2),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(2,3),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 18
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 18
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 18
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(0,5),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(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) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(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) => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,3),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,4),(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,4),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,4),(1,2),(1,3),(1,5),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 26
([(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) => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 26
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 36
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(0,1),(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 40
([(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) => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 40
([(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) => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 40
([(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) => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 40
([(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) => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 40
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
([(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) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34
([(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) => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 40
([(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) => [1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 42
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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 1,0,0,0,2,0,1 1,0,0,0,3,0,3,0,0,0,3,0,1 1,0,0,0,0,0,8,0,4,0,0,0,9,0,7,0,0,0,4,0,1 1,0,0,0,0,0,12,0,17,0,5,0,14,0,1,0,56,0,13,0,0,0,18,0,13,0,0,0,5,0,1
$F_{1} = 1$
$F_{2} = 1 + q^{2}$
$F_{3} = 1 + 2\ q^{4} + q^{6}$
$F_{4} = 1 + 3\ q^{4} + 3\ q^{6} + 3\ q^{10} + q^{12}$
$F_{5} = 1 + 8\ q^{6} + 4\ q^{8} + 9\ q^{12} + 7\ q^{14} + 4\ q^{18} + q^{20}$
$F_{6} = 1 + 12\ q^{6} + 17\ q^{8} + 5\ q^{10} + 14\ q^{12} + q^{14} + 56\ q^{16} + 13\ q^{18} + 18\ q^{22} + 13\ q^{24} + 5\ q^{28} + q^{30}$
$F_{7} = 1 + 52\ q^{8} + 29\ q^{10} + 6\ q^{12} + 181\ q^{16} + 166\ q^{18} + 210\ q^{20} + 22\ q^{22} + 70\ q^{24} + 2\ q^{26} + 210\ q^{28} + 36\ q^{30} + 30\ q^{34} + 22\ q^{36} + 6\ q^{40} + q^{42}$
Description
The major index of a Dyck path.
This is the sum over all $i+j$ for which $(i,j)$ is a valley of $D$.
The generating function of the major index yields MacMahon 's $q$-Catalan numbers
$$\sum_{D \in \mathfrak{D}_n} q^{\operatorname{maj}(D)} = \frac{1}{[n+1]_q}\begin{bmatrix} 2n \\ n \end{bmatrix}_q,$$
where $[k]_q := 1+q+\ldots+q^{k-1}$ is the usual $q$-extension of the integer $k$, $[k]_q!:= [1]_q[2]_q \cdots [k]_q$ is the $q$-factorial of $k$ and $\left[\begin{smallmatrix} k \\ l \end{smallmatrix}\right]_q:=[k]_q!/[l]_q![k-l]_q!$ is the $q$-binomial coefficient.
The major index was first studied by P.A.MacMahon in [1], where he proved this generating function identity.
There is a bijection $\psi$ between Dyck paths and noncrossing permutations which simultaneously sends the area of a Dyck path St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation., and the major index of the Dyck path to $n(n-1)$ minus the sum of the major index and the major index of the inverse [2].
For the major index on other collections, see St000004The major index of a permutation. for permutations and St000290The major index of a binary word. for binary words.
This is the sum over all $i+j$ for which $(i,j)$ is a valley of $D$.
The generating function of the major index yields MacMahon 's $q$-Catalan numbers
$$\sum_{D \in \mathfrak{D}_n} q^{\operatorname{maj}(D)} = \frac{1}{[n+1]_q}\begin{bmatrix} 2n \\ n \end{bmatrix}_q,$$
where $[k]_q := 1+q+\ldots+q^{k-1}$ is the usual $q$-extension of the integer $k$, $[k]_q!:= [1]_q[2]_q \cdots [k]_q$ is the $q$-factorial of $k$ and $\left[\begin{smallmatrix} k \\ l \end{smallmatrix}\right]_q:=[k]_q!/[l]_q![k-l]_q!$ is the $q$-binomial coefficient.
The major index was first studied by P.A.MacMahon in [1], where he proved this generating function identity.
There is a bijection $\psi$ between Dyck paths and noncrossing permutations which simultaneously sends the area of a Dyck path St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation., and the major index of the Dyck path to $n(n-1)$ minus the sum of the major index and the major index of the inverse [2].
For the major index on other collections, see St000004The major index of a permutation. for permutations and St000290The major index of a binary word. for binary words.
Map
chromatic difference sequence
Description
The chromatic difference sequence of a graph.
Let $G$ be a simple graph with chromatic number $\kappa$. Let $\alpha_m$ be the maximum number of vertices in a $m$-colorable subgraph of $G$. Set $\delta_m=\alpha_m-\alpha_{m-1}$. The sequence $\delta_1,\delta_2,\dots\delta_\kappa$ is the chromatic difference sequence of $G$.
All entries of the chromatic difference sequence are positive: $\alpha_m > \alpha_{m-1}$ for $m < \kappa$, because we can assign any uncolored vertex of a partial coloring with $m-1$ colors the color $m$. Therefore, the chromatic difference sequence is a composition of the number of vertices of $G$ into $\kappa$ parts.
Let $G$ be a simple graph with chromatic number $\kappa$. Let $\alpha_m$ be the maximum number of vertices in a $m$-colorable subgraph of $G$. Set $\delta_m=\alpha_m-\alpha_{m-1}$. The sequence $\delta_1,\delta_2,\dots\delta_\kappa$ is the chromatic difference sequence of $G$.
All entries of the chromatic difference sequence are positive: $\alpha_m > \alpha_{m-1}$ for $m < \kappa$, because we can assign any uncolored vertex of a partial coloring with $m-1$ colors the color $m$. Therefore, the chromatic difference sequence is a composition of the number of vertices of $G$ into $\kappa$ parts.
Map
bounce path
Description
The bounce path determined by an integer composition.
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