Identifier
-
Mp00110:
Posets
—Greene-Kleitman invariant⟶
Integer partitions
Mp00043: Integer partitions —to Dyck path⟶ Dyck paths
Mp00025: Dyck paths —to 132-avoiding permutation⟶ Permutations
St000141: Permutations ⟶ ℤ
Values
([],1) => [1] => [1,0,1,0] => [2,1] => 1
([],2) => [1,1] => [1,0,1,1,0,0] => [2,3,1] => 1
([(0,1)],2) => [2] => [1,1,0,0,1,0] => [3,1,2] => 2
([],3) => [1,1,1] => [1,0,1,1,1,0,0,0] => [2,3,4,1] => 1
([(1,2)],3) => [2,1] => [1,0,1,0,1,0] => [3,2,1] => 2
([(0,1),(0,2)],3) => [2,1] => [1,0,1,0,1,0] => [3,2,1] => 2
([(0,2),(2,1)],3) => [3] => [1,1,1,0,0,0,1,0] => [4,1,2,3] => 3
([(0,2),(1,2)],3) => [2,1] => [1,0,1,0,1,0] => [3,2,1] => 2
([],4) => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 1
([(2,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => [3,2,4,1] => 2
([(1,2),(1,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => [3,2,4,1] => 2
([(0,1),(0,2),(0,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => [3,2,4,1] => 2
([(0,2),(0,3),(3,1)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [4,2,1,3] => 3
([(0,1),(0,2),(1,3),(2,3)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [4,2,1,3] => 3
([(1,2),(2,3)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [4,2,1,3] => 3
([(0,3),(3,1),(3,2)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [4,2,1,3] => 3
([(1,3),(2,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => [3,2,4,1] => 2
([(0,3),(1,3),(3,2)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [4,2,1,3] => 3
([(0,3),(1,3),(2,3)],4) => [2,1,1] => [1,0,1,1,0,1,0,0] => [3,2,4,1] => 2
([(0,3),(1,2)],4) => [2,2] => [1,1,0,0,1,1,0,0] => [3,4,1,2] => 2
([(0,3),(1,2),(1,3)],4) => [2,2] => [1,1,0,0,1,1,0,0] => [3,4,1,2] => 2
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2] => [1,1,0,0,1,1,0,0] => [3,4,1,2] => 2
([(0,3),(2,1),(3,2)],4) => [4] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 4
([(0,3),(1,2),(2,3)],4) => [3,1] => [1,1,0,1,0,0,1,0] => [4,2,1,3] => 3
([],5) => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 1
([(3,4)],5) => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 2
([(2,3),(2,4)],5) => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 2
([(1,2),(1,3),(1,4)],5) => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 2
([(0,1),(0,2),(0,3),(0,4)],5) => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 2
([(0,2),(0,3),(0,4),(4,1)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(1,3),(1,4),(4,2)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,3),(0,4),(4,1),(4,2)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(1,2),(1,3),(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 4
([(0,3),(0,4),(3,2),(4,1)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(2,3),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(1,4),(4,2),(4,3)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,4),(4,1),(4,2),(4,3)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(2,4),(3,4)],5) => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 2
([(1,4),(2,4),(4,3)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,4),(1,4),(4,2),(4,3)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(1,4),(2,4),(3,4)],5) => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 2
([(0,4),(1,4),(2,4),(4,3)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,4),(1,4),(2,4),(3,4)],5) => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 2
([(0,4),(1,4),(2,3)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,4),(1,4),(2,3),(4,2)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 4
([(0,4),(1,3),(2,3),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,4),(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,4),(1,4),(2,3),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(1,4),(2,3)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,4),(1,2),(1,4),(2,3)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(1,3),(1,4),(2,3),(2,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,4),(1,2),(1,4),(4,3)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,4),(1,2),(1,3)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,4),(1,2),(1,3),(1,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,2),(0,4),(3,1),(4,3)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 4
([(0,4),(1,2),(1,3),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,3),(0,4),(1,2),(1,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [2,2,1] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 2
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,3),(1,2),(1,4),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(1,4),(3,2),(4,3)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 4
([(0,3),(3,4),(4,1),(4,2)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 4
([(1,4),(2,3),(3,4)],5) => [3,1,1] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 3
([(0,4),(1,2),(2,4),(4,3)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 4
([(0,3),(1,4),(4,2)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,4),(3,2),(4,1),(4,3)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 4
([(0,4),(1,2),(2,3),(2,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,4),(2,3),(3,1),(4,2)],5) => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5] => 5
([(0,3),(1,2),(2,4),(3,4)],5) => [3,2] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 3
([(0,4),(1,2),(2,3),(3,4)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 4
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 4
([],6) => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1] => 1
([(4,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => 2
([(3,4),(3,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => 2
([(2,3),(2,4),(2,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => 2
([(1,2),(1,3),(1,4),(1,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => 2
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => 2
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(1,3),(1,4),(1,5),(5,2)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
>>> Load all 2607 entries. <<<([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(2,3),(2,4),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(1,4),(1,5),(5,2),(5,3)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(2,3),(2,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(1,4),(1,5),(4,3),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(3,4),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(2,3),(3,4),(3,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(1,5),(5,2),(5,3),(5,4)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(2,3),(3,5),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(1,4),(4,5),(5,2),(5,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(3,5),(4,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => 2
([(2,5),(3,5),(5,4)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(1,5),(2,5),(5,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(2,5),(3,5),(4,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => 2
([(1,5),(2,5),(3,5),(5,4)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,5),(2,5),(3,5),(4,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => 2
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => 2
([(0,5),(1,5),(2,5),(3,4)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(1,5),(2,5),(3,4)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,5),(2,5),(3,4),(5,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(1,5),(2,4),(3,4),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,5),(2,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,5),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,5),(2,3),(2,4)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(1,5),(2,5),(3,4),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,5),(2,3),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(2,5),(3,4)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(2,4),(2,5),(3,4),(3,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,5),(2,3),(2,5),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,5),(2,3),(2,4)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(1,5),(2,3),(2,4),(2,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,2),(1,3),(1,4)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,3),(1,5),(4,2),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(1,5),(2,3),(2,4),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,3),(1,5),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(1,4),(1,5),(2,3),(2,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(0,5),(1,2),(1,3)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 2
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(1,4),(2,3),(2,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,5),(1,3),(1,4),(5,2)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(2,5),(3,4),(4,5)],6) => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 3
([(1,5),(2,3),(3,5),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(1,3),(2,4),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,5),(4,3),(5,2),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(1,5),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(1,5),(5,2),(5,3)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(1,5),(3,4),(4,2),(5,3)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(1,4),(2,3),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,4),(4,2),(5,3)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 3
([(1,5),(2,3),(3,4),(4,5)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,5),(1,4),(2,3)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,5),(1,3),(2,4),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 2
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,3),(4,2),(5,4)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6] => 6
([(0,5),(1,3),(2,4),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 4
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 4
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 5
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [3,2,1] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
([],7) => [1,1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1] => 1
([(5,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(4,5),(4,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(3,4),(3,5),(3,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(2,3),(2,4),(2,5),(2,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(2,4),(2,5),(2,6),(6,3)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(3,4),(3,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(2,5),(2,6),(6,3),(6,4)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(3,4),(3,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(2,5),(2,6),(5,4),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(4,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(3,4),(4,5),(4,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(2,6),(6,3),(6,4),(6,5)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(3,4),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(2,5),(5,6),(6,3),(6,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(4,6),(5,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(3,6),(4,6),(6,5)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(2,6),(3,6),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(3,6),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(2,6),(3,6),(4,6),(6,5)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(2,6),(3,6),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => 2
([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,6),(2,6),(3,6),(4,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(2,6),(3,6),(4,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(2,6),(3,6),(4,5),(6,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(2,6),(3,5),(4,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,6),(3,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(2,6),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,6),(3,4),(3,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(2,6),(3,6),(4,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,6),(3,4),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(3,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(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) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(3,6),(4,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(3,5),(3,6),(4,5),(4,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(2,6),(3,4),(3,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(2,6),(3,4),(3,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(2,6),(3,4),(3,5),(3,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,3),(2,4),(2,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(1,3),(1,4),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(1,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,2),(1,3),(1,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,2),(0,3),(0,4),(3,6),(4,6),(5,1),(6,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,2),(1,3),(1,4),(3,5),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,5),(2,3),(2,4),(2,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,3),(1,5),(1,6),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,4),(1,5),(1,6),(3,5),(3,6),(4,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(1,2),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(1,5),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,3),(1,4),(1,6),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,3),(1,5),(1,6),(4,2),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(2,4),(2,6),(5,3),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,4),(1,5),(5,6),(6,2),(6,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(3,6),(4,5),(4,6),(5,1),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(3,6),(4,5),(5,1),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(3,2),(3,6),(4,3),(5,1),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,6),(4,3),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,4),(2,5),(2,6),(3,2),(4,1),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,1),(3,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(2,6),(3,4),(3,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,6),(2,3),(2,4),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,2),(1,3),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(2,4),(2,6),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,6),(5,3),(6,2),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(1,6),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,4),(1,5),(5,2),(5,3),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,5),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,4),(1,6),(4,3),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(1,4),(1,6),(3,5),(3,6),(4,2),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,4),(0,5),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,3),(1,5),(3,6),(5,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(3,6),(4,5),(6,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(3,5),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,3),(1,4),(3,6),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,3),(1,4),(3,6),(4,6),(6,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,4),(2,5),(2,6),(3,1),(4,3),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(2,5),(3,2),(3,6),(4,1),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,4),(2,4),(2,5),(2,6),(3,1),(3,5),(3,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,2),(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,4),(0,5),(1,6),(2,6),(5,1),(5,2),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,2),(1,5),(3,6),(5,3),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(2,5),(2,6),(3,4),(3,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,3),(5,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,2),(5,3),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(5,3),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(5,2),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(5,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,6),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(5,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(5,4),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(5,3),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(4,3),(4,6),(5,3),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(1,5),(1,6),(4,2),(4,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(4,6),(5,3),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,4),(1,6),(2,3),(2,6),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,4),(1,6),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(1,6),(4,5),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,4),(1,5),(4,6),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,5),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(1,6),(4,3),(4,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,2),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(1,5),(4,3),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,4),(0,6),(1,5),(1,6),(5,2),(5,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,2),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(1,6),(4,2),(4,3),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,6),(1,5),(1,6),(3,2),(3,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,6),(1,3),(1,6),(3,5),(4,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(1,3),(1,5),(3,6),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,4),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,5),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(1,5),(1,6),(2,3),(2,4)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,5),(1,6),(2,3),(2,4),(2,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(4,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(3,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,3),(0,6),(1,5),(1,6),(2,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,6),(1,3),(1,5),(1,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,2),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,6),(1,2),(1,3),(1,6),(3,5),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,2),(1,3),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(5,3),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(5,2),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(3,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(5,3),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(4,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,3),(1,6),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,4),(1,3),(1,4),(1,5),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,4),(1,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(6,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,3),(1,4),(1,6),(5,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(1,2),(1,3),(1,6),(4,5),(6,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(1,3),(1,5),(1,6),(4,2),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,2),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(3,6),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,6),(3,5),(4,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,6),(3,4),(3,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 2
([(0,2),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(3,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,5),(1,3),(1,4),(1,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(1,2),(1,3),(1,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,4),(2,6),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,5),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,3),(1,4),(3,5),(4,2),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,2),(0,3),(1,5),(1,6),(2,6),(3,4),(3,5),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(0,6),(1,4),(1,5),(3,5),(4,2),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,4),(0,6),(1,3),(1,5),(5,2),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,4),(4,2),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,2),(1,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,3),(1,4),(1,5),(2,6),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(2,3),(2,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(4,5),(4,6),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,6),(2,4),(2,5),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(1,6),(5,3),(5,4),(6,2),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,4),(2,3),(2,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,4),(1,6),(5,2),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,5),(1,6),(3,2),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,4),(1,5),(6,2),(6,3)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(1,4),(1,6),(5,2),(5,3),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,4),(4,2),(4,3),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(3,6),(4,5),(5,6)],7) => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 3
([(2,6),(3,4),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,6),(2,3),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(2,6),(6,3),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(2,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(2,6),(5,4),(6,3),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(2,3),(3,4),(3,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,3),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(5,2),(5,6),(6,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,3),(2,6),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,4),(4,5),(4,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,5),(2,6),(6,3),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(5,4),(6,2),(6,3),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,3),(2,6),(3,4),(3,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,6),(6,2),(6,3),(6,4)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,5),(5,2),(5,3),(5,4),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,3),(2,6),(3,4),(3,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(3,6),(5,2),(5,3),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(2,6),(4,5),(5,3),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,5),(4,6),(5,4),(6,2),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(2,5),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,4),(2,3),(3,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,6),(2,5),(5,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,6),(4,5),(5,3),(6,2),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,5),(5,4),(6,2),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,4),(4,2),(4,6),(5,3),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(2,6),(3,4),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(1,6),(2,3),(3,5),(5,6),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(1,6),(2,5),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,4),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,6),(3,5),(4,5),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,3),(2,6),(4,5),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,5),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(2,4),(2,6),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3),(5,3),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,4),(2,4),(2,6),(4,5),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(1,4),(1,6),(2,4),(2,5),(5,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,5),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(1,5),(2,6),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,5),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,4),(1,6),(5,2),(5,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,4),(1,6),(2,3),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,5),(3,4),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,4),(1,5),(2,3),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,5),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(2,6),(3,5),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(1,6),(2,6),(3,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,4)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,4),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(3,6),(4,1),(4,2),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,3),(1,5),(1,6),(2,5),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,3),(2,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,4),(4,6),(5,2),(6,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(2,3),(2,4),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,6),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,4),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,3),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,4),(2,6),(3,5),(4,5),(6,3)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(2,5),(2,6),(3,1),(3,5),(3,6),(4,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(4,2),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(4,3),(5,4),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(3,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(3,4),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(4,3),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,2),(3,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(1,6),(3,2),(4,3),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,2),(3,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,2),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,3),(1,6),(3,4),(4,2),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,3),(0,6),(1,4),(1,6),(2,5),(4,5),(6,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,6),(1,3),(1,6),(2,5),(3,4),(5,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,4),(0,5),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 2
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(5,4),(6,3)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(1,3),(1,6),(4,2),(4,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,3),(3,4),(4,2),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(3,2),(3,5),(4,3),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(1,5),(2,3),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,6),(1,4),(2,5),(4,2),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(0,6),(1,4),(3,2),(4,3),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(1,4),(1,6),(2,5),(3,2),(3,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,3),(0,4),(1,6),(2,6),(4,5),(5,1),(5,2)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,3),(0,5),(1,6),(2,6),(4,2),(5,1),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,4),(5,3),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(4,3),(5,2),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,5),(4,3),(5,6),(6,2),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,3),(2,6),(3,5),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(1,5),(5,6),(6,2),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(1,6),(2,4),(3,5),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(1,6),(2,5),(3,4),(4,5),(4,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,5),(2,4),(4,5),(4,6),(6,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,3),(3,6),(4,5),(6,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(1,6),(2,5),(3,4),(4,6),(6,5)],7) => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 4
([(0,6),(1,3),(2,4),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 3
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(2,6),(6,3)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,6),(5,3),(6,2),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(2,4),(4,5),(4,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7] => 7
([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,5),(3,6),(4,3),(5,2),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 3
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 3
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 5
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,5),(2,6),(3,6),(5,2),(5,3)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(3,6),(4,2),(5,3),(5,4)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,6),(1,4),(2,6),(3,5),(4,2),(4,3),(6,5)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 5
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 4
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => 6
([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7) => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 4
([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => [8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8] => 8
([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [6,2,3,4,5,1] => 5
([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9) => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 4
([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9) => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 4
([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => [9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1,2,3,4,5,6,7,8,9] => 9
([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 5
([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10) => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
([(0,13),(1,12),(2,13),(2,15),(3,12),(3,15),(5,11),(6,7),(7,4),(8,9),(9,10),(10,7),(11,6),(11,10),(12,8),(13,5),(13,14),(14,9),(14,11),(15,8),(15,14)],16) => [7,5,3,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,1,3,5,7] => 7
([(0,10),(1,9),(2,8),(3,8),(3,9),(3,10),(5,11),(6,11),(7,11),(8,5),(8,6),(9,5),(9,7),(10,6),(10,7),(11,4)],12) => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [6,4,5,2,1,3] => 5
([(0,11),(1,10),(2,10),(2,13),(3,11),(3,14),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,6),(13,12),(14,7),(14,12)],15) => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [6,5,4,3,2,1] => 5
([(0,13),(1,16),(2,15),(3,13),(3,17),(4,15),(4,16),(4,17),(6,10),(7,19),(8,19),(9,18),(10,5),(11,7),(11,18),(12,8),(12,18),(13,14),(14,7),(14,8),(15,9),(15,11),(16,9),(16,12),(17,11),(17,12),(17,14),(18,6),(18,19),(19,10)],20) => [7,5,4,3,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,2,1,3,7] => 7
([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,13),(4,18),(5,14),(5,19),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,17),(16,10),(16,17),(17,11),(17,12),(18,7),(18,15),(19,8),(19,16),(20,15),(20,16)],21) => [6,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [7,6,5,4,3,2,1] => 6
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8) => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [6,3,2,1,4,5] => 5
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6] => 6
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [5,2,3,4,6,1] => 4
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [5,2,3,4,6,1] => 4
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [6,2,3,4,1,5] => 5
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6] => 6
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1] => 4
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6] => 6
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6] => 6
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6] => 6
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [8,2,1,3,4,5,6,7] => 7
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => 4
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6] => 6
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9) => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => [6,3,4,1,2,5] => 5
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9) => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [6,3,2,4,1,5] => 5
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9) => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [6,3,2,4,1,5] => 5
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9) => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [6,3,2,4,1,5] => 5
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6] => 6
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6] => 6
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6] => 6
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6] => 6
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 5
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6] => 6
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6] => 6
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9) => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => [6,3,4,1,2,5] => 5
([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1] => 4
([(0,2),(0,3),(0,4),(1,7),(1,9),(2,8),(3,5),(3,8),(4,1),(4,5),(4,8),(5,7),(5,9),(7,6),(8,9),(9,6)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(3,8),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [6,4,3,5,1,2] => 5
([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12) => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [6,4,3,5,1,2] => 5
([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1,5] => 5
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => [5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [6,4,3,5,2,1] => 5
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(5,9),(5,10),(6,9),(6,10),(7,10),(8,9),(8,10),(9,4),(10,4)],11) => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1,5] => 5
([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,2),(0,3),(0,4),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1,5] => 5
([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 5
([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13) => [5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [6,4,3,5,2,1] => 5
([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,7),(2,10),(3,6),(3,10),(4,6),(4,8),(4,10),(5,1),(5,7),(5,8),(5,10),(6,12),(7,11),(7,12),(8,11),(8,12),(10,11),(10,12),(11,9),(12,9)],13) => [5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [6,4,3,5,2,1] => 5
([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => 6
([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => [7,5,3,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,1,3,5,7] => 7
([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => [7,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [8,4,1,2,3,5,6,7] => 7
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,4,2,1,3,5,6] => 6
([(0,6),(0,7),(1,9),(2,8),(3,5),(4,2),(5,1),(5,8),(6,3),(7,4),(8,9)],10) => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => 6
([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) => [7,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [8,4,1,2,3,5,6,7] => 7
([(0,5),(1,6),(2,9),(3,6),(3,9),(4,7),(5,1),(5,2),(5,3),(6,8),(8,7),(9,4),(9,8)],10) => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,4,2,1,3,5,6] => 6
([(0,3),(0,7),(1,8),(2,8),(3,9),(4,5),(5,1),(6,2),(7,4),(7,9),(9,6)],10) => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => 6
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => 6
([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10) => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => 6
([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10) => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => 6
([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,4,2,1,3,5,6] => 6
([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 5
([(0,2),(0,3),(1,5),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,6),(8,5)],9) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 5
([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => 6
([(0,3),(0,4),(1,10),(2,1),(2,6),(2,12),(3,14),(3,15),(4,2),(4,14),(4,15),(6,7),(7,8),(8,5),(9,5),(10,9),(11,7),(11,13),(12,10),(12,13),(13,8),(13,9),(14,6),(14,11),(15,11),(15,12)],16) => [7,5,3,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,1,3,5,7] => 7
([(0,3),(0,4),(1,2),(1,14),(2,6),(3,13),(3,15),(4,1),(4,13),(4,15),(6,9),(7,8),(8,10),(9,5),(10,5),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11),(14,6),(14,12),(15,7),(15,11),(15,14)],16) => [7,5,3,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,1,3,5,7] => 7
([(0,3),(0,4),(1,2),(1,11),(1,15),(2,7),(2,12),(3,13),(3,14),(4,1),(4,13),(4,14),(6,9),(7,10),(8,6),(9,5),(10,5),(11,7),(12,9),(12,10),(13,8),(13,15),(14,8),(14,11),(15,6),(15,12)],16) => [7,5,3,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,1,3,5,7] => 7
([(0,2),(0,3),(1,6),(1,11),(2,14),(2,15),(3,1),(3,14),(3,15),(5,8),(6,7),(7,9),(8,10),(9,4),(10,4),(11,7),(11,13),(12,8),(12,13),(13,9),(13,10),(14,5),(14,6),(14,12),(15,5),(15,11),(15,12)],16) => [7,5,3,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,1,3,5,7] => 7
([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => [10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [11,1,2,3,4,5,6,7,8,9,10] => 10
([(0,5),(0,6),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9)],10) => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12) => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [6,4,5,2,1,3] => 5
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10) => [6,2,2] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [7,3,4,1,2,5,6] => 6
([(0,4),(1,7),(1,8),(2,6),(2,8),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3),(6,9),(7,9),(8,9)],10) => [6,2,2] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [7,3,4,1,2,5,6] => 6
([(0,2),(0,3),(0,4),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,1),(6,9),(7,9),(8,9),(9,5)],10) => [6,2,2] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [7,3,4,1,2,5,6] => 6
([(0,3),(0,4),(0,5),(1,8),(1,10),(2,7),(2,9),(3,11),(3,12),(4,2),(4,11),(4,13),(5,1),(5,12),(5,13),(6,17),(7,15),(8,16),(9,6),(9,15),(10,6),(10,16),(11,7),(11,14),(12,8),(12,14),(13,9),(13,10),(13,14),(14,15),(14,16),(15,17),(16,17)],18) => [6,4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [7,5,6,3,4,1,2] => 6
([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => [7,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [8,2,1,3,4,5,6,7] => 7
([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6] => 6
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8) => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6] => 6
([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8) => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [6,3,2,1,4,5] => 5
([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 4
([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 4
([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 4
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 4
([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => [8,1] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [9,2,1,3,4,5,6,7,8] => 8
([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9) => [7,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [8,3,1,2,4,5,6,7] => 7
([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9) => [7,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [8,3,1,2,4,5,6,7] => 7
([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6] => 6
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9) => [6,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [7,3,2,1,4,5,6] => 6
([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9) => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6] => 6
([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9) => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [6,5,1,2,3,4] => 5
([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 5
([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 5
([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 5
([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9) => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [6,5,1,2,3,4] => 5
([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 5
([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => 4
([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => 4
([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => [9,1] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [10,2,1,3,4,5,6,7,8,9] => 9
([(0,2),(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6),(8,9)],10) => [8,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [9,3,1,2,4,5,6,7,8] => 8
([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10) => [8,2] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [9,3,1,2,4,5,6,7,8] => 8
([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(5,9),(6,1),(7,5),(7,8),(8,9)],10) => [7,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [8,4,1,2,3,5,6,7] => 7
([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(7,9),(8,1),(8,9)],10) => [7,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [8,3,2,1,4,5,6,7] => 7
([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10) => [7,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [8,4,1,2,3,5,6,7] => 7
([(0,2),(0,6),(2,7),(3,1),(4,3),(4,8),(5,4),(5,9),(6,5),(6,7),(7,9),(9,8)],10) => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => 6
([(0,6),(0,7),(3,5),(4,3),(4,9),(5,2),(6,4),(6,8),(7,1),(7,8),(8,9)],10) => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,4,2,1,3,5,6] => 6
([(0,6),(0,7),(2,9),(3,5),(4,3),(5,1),(6,4),(6,8),(7,2),(7,8),(8,9)],10) => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,4,2,1,3,5,6] => 6
([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(7,9),(8,4),(8,9)],10) => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,4,2,1,3,5,6] => 6
([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10) => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => 6
([(0,5),(0,6),(3,4),(3,9),(4,2),(4,8),(5,3),(5,7),(6,1),(6,7),(7,9),(9,8)],10) => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [6,5,2,1,3,4] => 5
([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,6),(0,7),(3,4),(3,9),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,6),(0,7),(3,4),(4,1),(5,2),(5,9),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(7,9),(8,4),(8,9)],10) => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [6,5,2,1,3,4] => 5
([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,5),(0,6),(2,8),(3,1),(4,2),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(9,8)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 4
([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(5,6),(7,6)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => 4
([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 4
([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8) => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [4,5,3,1,2] => 3
([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8) => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4] => 4
([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => 4
([(0,3),(0,8),(1,4),(1,8),(3,6),(4,2),(4,7),(6,5),(7,5),(8,6),(8,7)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => 4
([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 4
([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => 4
([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6),(5,7),(6,7)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 4
([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8) => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8) => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [4,5,3,1,2] => 3
([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8) => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 4
([(0,2),(0,3),(1,7),(2,8),(3,4),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9) => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 5
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,8),(4,7),(4,8),(7,5),(8,5),(8,6)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => 4
([(0,7),(1,3),(1,8),(2,7),(2,8),(3,6),(5,4),(6,4),(7,5),(8,5),(8,6)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => 4
([(0,8),(1,4),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6),(6,7),(7,5),(8,6)],9) => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [6,5,1,2,3,4] => 5
([(0,3),(0,4),(1,7),(2,8),(3,2),(3,9),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8) => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => 4
([(0,3),(0,4),(1,2),(1,8),(2,6),(3,7),(4,7),(4,8),(7,5),(8,5),(8,6)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => 4
([(0,3),(0,8),(1,4),(1,8),(2,5),(3,6),(4,2),(4,7),(7,5),(8,6),(8,7)],9) => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => 4
([(0,3),(0,9),(1,4),(1,9),(2,5),(3,2),(3,8),(4,7),(7,6),(8,5),(8,6),(9,7),(9,8)],10) => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [5,6,3,1,2,4] => 4
([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(8,10),(9,7),(9,10)],11) => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => [6,5,3,1,2,4] => 5
([(0,3),(0,4),(1,2),(1,9),(2,8),(3,7),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10) => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 5
([(0,3),(0,10),(1,4),(1,10),(2,7),(3,8),(4,2),(4,9),(6,5),(7,5),(8,6),(9,6),(9,7),(10,8),(10,9)],11) => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => [6,5,3,1,2,4] => 5
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11) => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1,5] => 5
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11) => [5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [6,4,2,3,5,1] => 5
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10) => [6,1,1,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [7,2,3,4,5,1,6] => 6
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,9),(7,9),(9,8)],10) => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [6,3,2,4,5,1] => 5
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(1,9),(2,7),(3,7),(4,6),(5,6),(6,9),(7,8),(8,10),(9,10)],11) => [5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [6,4,2,3,5,1] => 5
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10) => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [6,3,2,4,5,1] => 5
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(5,7),(5,8),(6,10),(7,9),(8,9),(9,10)],11) => [5,2,2,1,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [6,3,4,2,5,1] => 5
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,3,1 1,8,6,1 1,20,31,10,1 1,55,162,84,15,1 1,163,940,734,185,21,1
F1=q
F2=q+q2
F3=q+3 q2+q3
F4=q+8 q2+6 q3+q4
F5=q+20 q2+31 q3+10 q4+q5
F6=q+55 q2+162 q3+84 q4+15 q5+q6
F7=q+163 q2+940 q3+734 q4+185 q5+21 q6+q7
Description
The maximum drop size of a permutation.
The maximum drop size of a permutation π of [n]={1,2,…,n} is defined to be the maximum value of i−π(i).
The maximum drop size of a permutation π of [n]={1,2,…,n} is defined to be the maximum value of i−π(i).
Map
Greene-Kleitman invariant
Description
The Greene-Kleitman invariant of a poset.
This is the partition (c1−c0,c2−c1,c3−c2,…), where ck is the maximum cardinality of a union of k chains of the poset. Equivalently, this is the conjugate of the partition (a1−a0,a2−a1,a3−a2,…), where ak is the maximum cardinality of a union of k antichains of the poset.
This is the partition (c1−c0,c2−c1,c3−c2,…), where ck is the maximum cardinality of a union of k chains of the poset. Equivalently, this is the conjugate of the partition (a1−a0,a2−a1,a3−a2,…), where ak is the maximum cardinality of a union of k antichains of the poset.
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].
This bijection is defined in [1, Section 2].
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.
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