Identifier
-
Mp00324:
Graphs
—chromatic difference sequence⟶
Integer compositions
Mp00040: Integer compositions —to partition⟶ Integer partitions
Mp00230: Integer partitions —parallelogram polyomino⟶ Dyck paths
St000079: Dyck paths ⟶ ℤ
Values
([],1) => [1] => [1] => [1,0] => 1
([],2) => [2] => [2] => [1,0,1,0] => 1
([(0,1)],2) => [1,1] => [1,1] => [1,1,0,0] => 1
([],3) => [3] => [3] => [1,0,1,0,1,0] => 1
([(1,2)],3) => [2,1] => [2,1] => [1,0,1,1,0,0] => 1
([(0,2),(1,2)],3) => [2,1] => [2,1] => [1,0,1,1,0,0] => 1
([(0,1),(0,2),(1,2)],3) => [1,1,1] => [1,1,1] => [1,1,0,1,0,0] => 2
([],4) => [4] => [4] => [1,0,1,0,1,0,1,0] => 1
([(2,3)],4) => [3,1] => [3,1] => [1,0,1,0,1,1,0,0] => 1
([(1,3),(2,3)],4) => [3,1] => [3,1] => [1,0,1,0,1,1,0,0] => 1
([(0,3),(1,3),(2,3)],4) => [3,1] => [3,1] => [1,0,1,0,1,1,0,0] => 1
([(0,3),(1,2)],4) => [2,2] => [2,2] => [1,1,1,0,0,0] => 2
([(0,3),(1,2),(2,3)],4) => [2,2] => [2,2] => [1,1,1,0,0,0] => 2
([(1,2),(1,3),(2,3)],4) => [2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => 2
([(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => 2
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2] => [2,2] => [1,1,1,0,0,0] => 2
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => 2
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => 5
([],5) => [5] => [5] => [1,0,1,0,1,0,1,0,1,0] => 1
([(3,4)],5) => [4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => 1
([(2,4),(3,4)],5) => [4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => 1
([(1,4),(2,4),(3,4)],5) => [4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => 1
([(0,4),(1,4),(2,4),(3,4)],5) => [4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => 1
([(1,4),(2,3)],5) => [3,2] => [3,2] => [1,0,1,1,1,0,0,0] => 2
([(1,4),(2,3),(3,4)],5) => [3,2] => [3,2] => [1,0,1,1,1,0,0,0] => 2
([(0,1),(2,4),(3,4)],5) => [3,2] => [3,2] => [1,0,1,1,1,0,0,0] => 2
([(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => 2
([(0,4),(1,4),(2,3),(3,4)],5) => [3,2] => [3,2] => [1,0,1,1,1,0,0,0] => 2
([(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => 2
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => 2
([(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [3,2] => [1,0,1,1,1,0,0,0] => 2
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [3,2] => [3,2] => [1,0,1,1,1,0,0,0] => 2
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => 2
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => 2
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [3,2] => [1,0,1,1,1,0,0,0] => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => 2
([(0,4),(1,3),(2,3),(2,4)],5) => [3,2] => [3,2] => [1,0,1,1,1,0,0,0] => 2
([(0,1),(2,3),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => 5
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => 5
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => 5
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => 5
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => 5
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => 5
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => 5
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => 5
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => 5
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => 5
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => 5
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) => [2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => 5
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => 5
([(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] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => 14
([],6) => [6] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
([(4,5)],6) => [5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 1
([(3,5),(4,5)],6) => [5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 1
([(2,5),(3,5),(4,5)],6) => [5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 1
([(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 1
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 1
([(2,5),(3,4)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(2,5),(3,4),(4,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(1,2),(3,5),(4,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(1,5),(2,5),(3,4),(4,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(0,1),(2,5),(3,5),(4,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(0,5),(1,5),(2,4),(3,4)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
([(0,5),(1,4),(2,3)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(1,5),(2,4),(3,4),(3,5)],6) => [4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => 2
([(0,1),(2,5),(3,4),(4,5)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
>>> Load all 1158 entries. <<<([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(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] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(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] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,1,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(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] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(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] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,3] => [3,3] => [1,1,1,0,1,0,0,0] => 7
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(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] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(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] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) => [3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 14
([(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] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 14
([(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] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 14
([(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] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 14
([(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] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,2,2] => [1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 14
([(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] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 42
([(3,6),(4,5)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(3,6),(4,5),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(2,3),(4,6),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,2),(3,6),(4,6),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,6),(2,6),(3,5),(4,5)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,6),(2,5),(3,4)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(2,6),(3,5),(4,5),(4,6)],7) => [5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
([(1,2),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,3),(1,2),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(2,3),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 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),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(0,6),(1,3),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => 7
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => 7
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => 21
([(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] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
3,1 4,6,0,0,1 5,15,0,0,13,0,0,0,0,0,0,0,0,1 6,30,0,0,70,0,26,0,0,0,0,0,0,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 3\ q + q^{2}$
$F_{4} = 4\ q + 6\ q^{2} + q^{5}$
$F_{5} = 5\ q + 15\ q^{2} + 13\ q^{5} + q^{14}$
$F_{6} = 6\ q + 30\ q^{2} + 70\ q^{5} + 26\ q^{7} + 23\ q^{14} + q^{42}$
Description
The number of alternating sign matrices for a given Dyck path.
The Dyck path is given by the last diagonal of the monotone triangle corresponding to an alternating sign matrix.
The Dyck path is given by the last diagonal of the monotone triangle corresponding to an alternating sign matrix.
Map
to partition
Description
Sends a composition to the partition obtained by sorting the entries.
Map
parallelogram polyomino
Description
Return the Dyck path corresponding to the partition interpreted as a parallogram polyomino.
The Ferrers diagram of an integer partition can be interpreted as a parallogram polyomino, such that each part corresponds to a column.
This map returns the corresponding Dyck path.
The Ferrers diagram of an integer partition can be interpreted as a parallogram polyomino, such that each part corresponds to a column.
This map returns the corresponding Dyck path.
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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