Identifier
-
Mp00324:
Graphs
—chromatic difference sequence⟶
Integer compositions
Mp00231: Integer compositions —bounce path⟶ Dyck paths
St000439: Dyck paths ⟶ ℤ (values match St000025The number of initial rises of a Dyck path.)
Values
([],1) => [1] => [1,0] => 2
([],2) => [2] => [1,1,0,0] => 3
([(0,1)],2) => [1,1] => [1,0,1,0] => 2
([],3) => [3] => [1,1,1,0,0,0] => 4
([(1,2)],3) => [2,1] => [1,1,0,0,1,0] => 3
([(0,2),(1,2)],3) => [2,1] => [1,1,0,0,1,0] => 3
([(0,1),(0,2),(1,2)],3) => [1,1,1] => [1,0,1,0,1,0] => 2
([],4) => [4] => [1,1,1,1,0,0,0,0] => 5
([(2,3)],4) => [3,1] => [1,1,1,0,0,0,1,0] => 4
([(1,3),(2,3)],4) => [3,1] => [1,1,1,0,0,0,1,0] => 4
([(0,3),(1,3),(2,3)],4) => [3,1] => [1,1,1,0,0,0,1,0] => 4
([(0,3),(1,2)],4) => [2,2] => [1,1,0,0,1,1,0,0] => 3
([(0,3),(1,2),(2,3)],4) => [2,2] => [1,1,0,0,1,1,0,0] => 3
([(1,2),(1,3),(2,3)],4) => [2,1,1] => [1,1,0,0,1,0,1,0] => 3
([(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [1,1,0,0,1,0,1,0] => 3
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2] => [1,1,0,0,1,1,0,0] => 3
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [1,1,0,0,1,0,1,0] => 3
([(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] => 2
([],5) => [5] => [1,1,1,1,1,0,0,0,0,0] => 6
([(3,4)],5) => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 5
([(2,4),(3,4)],5) => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 5
([(1,4),(2,4),(3,4)],5) => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 5
([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 5
([(1,4),(2,3)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 4
([(1,4),(2,3),(3,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 4
([(0,1),(2,4),(3,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 4
([(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 4
([(0,4),(1,4),(2,3),(3,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 4
([(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 4
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 4
([(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 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] => 4
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 4
([(0,1),(2,3),(2,4),(3,4)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
([(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] => 3
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 2
([],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0] => 7
([(4,5)],6) => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
([(3,5),(4,5)],6) => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
([(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
([(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] => 6
([(2,5),(3,4)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
([(2,5),(3,4),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
([(1,2),(3,5),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
([(3,4),(3,5),(4,5)],6) => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
([(1,5),(2,5),(3,4),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 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] => 5
([(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] => 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] => 5
([(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] => 5
([(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
([(0,5),(1,5),(2,4),(3,4)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 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] => 5
([(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] => 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] => 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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(0,5),(1,4),(2,3)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
([(0,1),(2,5),(3,4),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
>>> 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 2
([],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 8
([(5,6)],7) => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7
([(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7
([(3,6),(4,6),(5,6)],7) => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7
([(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] => 7
([(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] => 7
([(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] => 7
([(3,6),(4,5)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
([(3,6),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
([(2,3),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 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] => 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] => 6
([(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] => 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] => 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] => 6
([(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] => 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] => 6
([(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] => 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] => 6
([(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] => 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] => 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] => 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] => 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] => 6
([(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] => 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] => 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] => 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] => 6
([(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] => 6
([(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] => 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] => 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] => 6
([(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] => 6
([(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] => 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] => 6
([(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] => 6
([(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] => 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] => 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] => 6
([(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] => 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] => 6
([(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] => 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] => 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] => 6
([(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] => 6
([(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] => 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] => 6
([(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] => 6
([(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] => 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] => 6
([(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] => 6
([(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] => 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] => 6
([(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] => 6
([(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] => 6
([(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] => 6
([(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] => 6
([(1,6),(2,5),(3,4)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
([(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] => 6
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 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] => 5
([(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] => 5
([(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] => 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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(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] => 5
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
([(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] => 5
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(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] => 5
([(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] => 5
([(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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 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)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 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] => 4
([(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] => 5
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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)],7) => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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),(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 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)],7) => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 4
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 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),(4,6),(5,6)],7) => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 3
([(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] => 2
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,1 1,6,3,1 1,13,15,4,1 1,37,82,30,5,1 1,106,578,301,51,6,1
$F_{1} = q^{2}$
$F_{2} = q^{2} + q^{3}$
$F_{3} = q^{2} + 2\ q^{3} + q^{4}$
$F_{4} = q^{2} + 6\ q^{3} + 3\ q^{4} + q^{5}$
$F_{5} = q^{2} + 13\ q^{3} + 15\ q^{4} + 4\ q^{5} + q^{6}$
$F_{6} = q^{2} + 37\ q^{3} + 82\ q^{4} + 30\ q^{5} + 5\ q^{6} + q^{7}$
$F_{7} = q^{2} + 106\ q^{3} + 578\ q^{4} + 301\ q^{5} + 51\ q^{6} + 6\ q^{7} + q^{8}$
Description
The position of the first down step of a Dyck path.
Map
bounce path
Description
The bounce path determined by an integer composition.
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.
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