Identifier
-
Mp00127:
Permutations
—left-to-right-maxima to Dyck path⟶
Dyck paths
Mp00242: Dyck paths —Hessenberg poset⟶ Posets
St000527: Posets ⟶ ℤ
Values
[1] => [1,0] => ([],1) => 1
[1,2] => [1,0,1,0] => ([(0,1)],2) => 1
[2,1] => [1,1,0,0] => ([],2) => 2
[1,2,3] => [1,0,1,0,1,0] => ([(0,2),(2,1)],3) => 1
[1,3,2] => [1,0,1,1,0,0] => ([(0,2),(1,2)],3) => 2
[2,1,3] => [1,1,0,0,1,0] => ([(0,1),(0,2)],3) => 2
[2,3,1] => [1,1,0,1,0,0] => ([(1,2)],3) => 2
[3,1,2] => [1,1,1,0,0,0] => ([],3) => 3
[3,2,1] => [1,1,1,0,0,0] => ([],3) => 3
[1,2,3,4] => [1,0,1,0,1,0,1,0] => ([(0,3),(2,1),(3,2)],4) => 1
[1,2,4,3] => [1,0,1,0,1,1,0,0] => ([(0,3),(1,3),(3,2)],4) => 2
[1,3,2,4] => [1,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[1,3,4,2] => [1,0,1,1,0,1,0,0] => ([(0,3),(1,2),(2,3)],4) => 2
[1,4,2,3] => [1,0,1,1,1,0,0,0] => ([(0,3),(1,3),(2,3)],4) => 3
[1,4,3,2] => [1,0,1,1,1,0,0,0] => ([(0,3),(1,3),(2,3)],4) => 3
[2,1,3,4] => [1,1,0,0,1,0,1,0] => ([(0,3),(3,1),(3,2)],4) => 2
[2,1,4,3] => [1,1,0,0,1,1,0,0] => ([(0,2),(0,3),(1,2),(1,3)],4) => 2
[2,3,1,4] => [1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(3,1)],4) => 2
[2,3,4,1] => [1,1,0,1,0,1,0,0] => ([(0,3),(1,2),(1,3)],4) => 2
[2,4,1,3] => [1,1,0,1,1,0,0,0] => ([(1,3),(2,3)],4) => 3
[2,4,3,1] => [1,1,0,1,1,0,0,0] => ([(1,3),(2,3)],4) => 3
[3,1,2,4] => [1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3)],4) => 3
[3,1,4,2] => [1,1,1,0,0,1,0,0] => ([(1,2),(1,3)],4) => 3
[3,2,1,4] => [1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3)],4) => 3
[3,2,4,1] => [1,1,1,0,0,1,0,0] => ([(1,2),(1,3)],4) => 3
[3,4,1,2] => [1,1,1,0,1,0,0,0] => ([(2,3)],4) => 3
[3,4,2,1] => [1,1,1,0,1,0,0,0] => ([(2,3)],4) => 3
[4,1,2,3] => [1,1,1,1,0,0,0,0] => ([],4) => 4
[4,1,3,2] => [1,1,1,1,0,0,0,0] => ([],4) => 4
[4,2,1,3] => [1,1,1,1,0,0,0,0] => ([],4) => 4
[4,2,3,1] => [1,1,1,1,0,0,0,0] => ([],4) => 4
[4,3,1,2] => [1,1,1,1,0,0,0,0] => ([],4) => 4
[4,3,2,1] => [1,1,1,1,0,0,0,0] => ([],4) => 4
[1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0] => ([(0,4),(1,4),(2,3),(4,2)],5) => 2
[1,2,4,3,5] => [1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0] => ([(0,4),(1,2),(2,4),(4,3)],5) => 2
[1,2,5,3,4] => [1,0,1,0,1,1,1,0,0,0] => ([(0,4),(1,4),(2,4),(4,3)],5) => 3
[1,2,5,4,3] => [1,0,1,0,1,1,1,0,0,0] => ([(0,4),(1,4),(2,4),(4,3)],5) => 3
[1,3,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 2
[1,3,4,2,5] => [1,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2
[1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 2
[1,3,5,2,4] => [1,0,1,1,0,1,1,0,0,0] => ([(0,4),(1,3),(2,3),(3,4)],5) => 3
[1,3,5,4,2] => [1,0,1,1,0,1,1,0,0,0] => ([(0,4),(1,3),(2,3),(3,4)],5) => 3
[1,4,2,3,5] => [1,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 3
[1,4,2,5,3] => [1,0,1,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 3
[1,4,3,2,5] => [1,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 3
[1,4,3,5,2] => [1,0,1,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 3
[1,4,5,2,3] => [1,0,1,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(3,4)],5) => 3
[1,4,5,3,2] => [1,0,1,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(3,4)],5) => 3
[1,5,2,3,4] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,5,2,4,3] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,5,3,2,4] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,5,3,4,2] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,5,4,2,3] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[2,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => ([(0,4),(1,4),(4,2),(4,3)],5) => 2
[2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2
[2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 2
[2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 3
[2,1,5,4,3] => [1,1,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 3
[2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => ([(0,4),(3,2),(4,1),(4,3)],5) => 2
[2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 2
[2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
[2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 2
[2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 3
[2,3,5,4,1] => [1,1,0,1,0,1,1,0,0,0] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 3
[2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 3
[2,4,1,5,3] => [1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(3,4)],5) => 3
[2,4,3,1,5] => [1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 3
[2,4,3,5,1] => [1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(3,4)],5) => 3
[2,4,5,1,3] => [1,1,0,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(2,4)],5) => 3
[2,4,5,3,1] => [1,1,0,1,1,0,1,0,0,0] => ([(0,4),(1,4),(2,3),(2,4)],5) => 3
[2,5,1,3,4] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 4
[2,5,1,4,3] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 4
[2,5,3,1,4] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 4
[2,5,3,4,1] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 4
[2,5,4,1,3] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 4
[2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0] => ([(1,4),(2,4),(3,4)],5) => 4
[3,1,2,4,5] => [1,1,1,0,0,0,1,0,1,0] => ([(0,4),(4,1),(4,2),(4,3)],5) => 3
[3,1,2,5,4] => [1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 3
[3,1,4,2,5] => [1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(4,1),(4,2)],5) => 3
[3,1,4,5,2] => [1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 3
[3,1,5,2,4] => [1,1,1,0,0,1,1,0,0,0] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[3,1,5,4,2] => [1,1,1,0,0,1,1,0,0,0] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[3,2,1,4,5] => [1,1,1,0,0,0,1,0,1,0] => ([(0,4),(4,1),(4,2),(4,3)],5) => 3
[3,2,1,5,4] => [1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 3
[3,2,4,1,5] => [1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(4,1),(4,2)],5) => 3
[3,2,4,5,1] => [1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 3
[3,2,5,1,4] => [1,1,1,0,0,1,1,0,0,0] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[3,4,1,2,5] => [1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(4,1)],5) => 3
[3,4,1,5,2] => [1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4)],5) => 3
[3,4,2,1,5] => [1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(4,1)],5) => 3
[3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4)],5) => 3
[3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => ([(1,4),(2,3),(2,4)],5) => 3
[3,4,5,2,1] => [1,1,1,0,1,0,1,0,0,0] => ([(1,4),(2,3),(2,4)],5) => 3
[3,5,1,2,4] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 4
[3,5,1,4,2] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 4
>>> Load all 9628 entries. <<<[3,5,2,1,4] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 4
[3,5,2,4,1] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 4
[3,5,4,1,2] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 4
[3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0] => ([(2,4),(3,4)],5) => 4
[4,1,2,3,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4
[4,1,2,5,3] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4
[4,1,3,2,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4
[4,1,3,5,2] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4
[4,1,5,2,3] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4
[4,1,5,3,2] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4
[4,2,1,3,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4
[4,2,1,5,3] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4
[4,2,3,1,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4
[4,2,3,5,1] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4
[4,2,5,1,3] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4
[4,2,5,3,1] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4
[4,3,1,2,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4
[4,3,1,5,2] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4
[4,3,2,1,5] => [1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4)],5) => 4
[4,3,2,5,1] => [1,1,1,1,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4)],5) => 4
[4,3,5,1,2] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4
[4,3,5,2,1] => [1,1,1,1,0,0,1,0,0,0] => ([(2,3),(2,4)],5) => 4
[4,5,1,2,3] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4
[4,5,1,3,2] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4
[4,5,2,1,3] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4
[4,5,2,3,1] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4
[4,5,3,1,2] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4
[4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0] => ([(3,4)],5) => 4
[5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,1,3,2,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,1,4,2,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,1,4,3,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,2,1,4,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,2,3,1,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,2,4,3,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,3,1,2,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,3,1,4,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,3,2,1,4] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,3,2,4,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,3,4,1,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,4,1,3,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,4,2,1,3] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => ([],5) => 5
[1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[1,2,3,5,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
[1,2,3,6,4,5] => [1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 3
[1,2,3,6,5,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 3
[1,2,4,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 2
[1,2,4,5,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
[1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 2
[1,2,4,6,3,5] => [1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 3
[1,2,4,6,5,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 3
[1,2,5,3,4,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 3
[1,2,5,3,6,4] => [1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 3
[1,2,5,4,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 3
[1,2,5,4,6,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 3
[1,2,5,6,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 3
[1,2,5,6,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 3
[1,2,6,3,4,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 4
[1,2,6,3,5,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 4
[1,2,6,4,3,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 4
[1,2,6,4,5,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 4
[1,2,6,5,3,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 4
[1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 4
[1,3,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 2
[1,3,2,5,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[1,3,2,6,4,5] => [1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3
[1,3,2,6,5,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3
[1,3,4,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
[1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 2
[1,3,4,5,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
[1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 2
[1,3,4,6,2,5] => [1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 3
[1,3,4,6,5,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 3
[1,3,5,2,4,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 3
[1,3,5,2,6,4] => [1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 3
[1,3,5,4,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 3
[1,3,5,4,6,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 3
[1,3,5,6,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 3
[1,3,5,6,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 3
[1,3,6,2,4,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 4
[1,3,6,2,5,4] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 4
[1,3,6,4,2,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 4
[1,3,6,4,5,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 4
[1,3,6,5,2,4] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 4
[1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 4
[1,4,2,3,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 3
[1,4,2,3,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
[1,4,2,5,3,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 3
[1,4,2,5,6,3] => [1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
[1,4,2,6,3,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
[1,4,2,6,5,3] => [1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
[1,4,3,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 3
[1,4,3,2,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
[1,4,3,5,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 3
[1,4,3,5,6,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
[1,4,3,6,2,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
[1,4,3,6,5,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
[1,4,5,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 3
[1,4,5,2,6,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
[1,4,5,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 3
[1,4,5,3,6,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 3
[1,4,5,6,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
[1,4,5,6,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
[1,4,6,2,3,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 4
[1,4,6,2,5,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 4
[1,4,6,3,2,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 4
[1,4,6,3,5,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 4
[1,4,6,5,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 4
[1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 4
[1,5,2,3,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,5,2,3,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
[1,5,2,4,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,5,2,4,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
[1,5,2,6,3,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[1,5,2,6,4,3] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[1,5,3,2,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,5,3,2,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
[1,5,3,4,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,5,3,4,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
[1,5,3,6,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[1,5,3,6,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[1,5,4,2,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,5,4,2,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
[1,5,4,3,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,5,4,3,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
[1,5,4,6,2,3] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[1,5,4,6,3,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[1,5,6,2,3,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 4
[1,5,6,2,4,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 4
[1,5,6,3,2,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 4
[1,5,6,3,4,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 4
[1,5,6,4,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 4
[1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 4
[1,6,2,3,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,2,3,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,2,4,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,2,4,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,2,5,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,2,5,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,3,2,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,3,2,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,3,4,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,3,4,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,3,5,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,3,5,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,4,2,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,4,2,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,4,3,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,4,3,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,4,5,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,4,5,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,5,2,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,5,2,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,5,3,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,5,3,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,5,4,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 2
[2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2
[2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 2
[2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 3
[2,1,3,6,5,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 3
[2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 2
[2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 2
[2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
[2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 2
[2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[2,1,4,6,5,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3
[2,1,5,3,6,4] => [1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[2,1,5,4,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3
[2,1,5,4,6,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[2,1,5,6,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
[2,1,5,6,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
[2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,1,6,3,5,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,1,6,4,3,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,1,6,4,5,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,1,6,5,3,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 2
[2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 2
[2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
[2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 2
[2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 3
[2,3,1,6,5,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 3
[2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
[2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 2
[2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 2
[2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 2
[2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 3
[2,3,4,6,5,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 3
[2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3
[2,3,5,1,6,4] => [1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 3
[2,3,5,4,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 3
[2,3,5,4,6,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 3
[2,3,5,6,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 3
[2,3,5,6,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 3
[2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,6,1,5,4] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,6,4,1,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,6,4,5,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,6,5,1,4] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 3
[2,4,1,3,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 3
[2,4,1,5,3,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 3
[2,4,1,5,6,3] => [1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 3
[2,4,1,6,3,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 3
[2,4,1,6,5,3] => [1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 3
[2,4,3,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 3
[2,4,3,1,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 3
[2,4,3,5,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 3
[2,4,3,5,6,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 3
[2,4,3,6,1,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 3
[2,4,3,6,5,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 3
[2,4,5,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 3
[2,4,5,1,6,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 3
[2,4,5,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 3
[2,4,5,3,6,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 3
[2,4,5,6,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 3
[2,4,5,6,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 3
[2,4,6,1,3,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,4,6,1,5,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,4,6,3,1,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,4,6,3,5,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,4,6,5,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 4
[2,5,1,3,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 4
[2,5,1,4,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 4
[2,5,1,4,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 4
[2,5,1,6,3,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 4
[2,5,1,6,4,3] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 4
[2,5,3,1,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 4
[2,5,3,1,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 4
[2,5,3,4,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 4
[2,5,3,4,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 4
[2,5,3,6,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 4
[2,5,3,6,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 4
[2,5,4,1,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 4
[2,5,4,1,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 4
[2,5,4,3,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 4
[2,5,4,3,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 4
[2,5,4,6,1,3] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 4
[2,5,4,6,3,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 4
[2,5,6,1,3,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 4
[2,5,6,1,4,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 4
[2,5,6,3,1,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 4
[2,5,6,3,4,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 4
[2,5,6,4,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 4
[2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 4
[2,6,1,3,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,1,3,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,1,4,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,1,4,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,1,5,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,1,5,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,3,1,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,3,1,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,3,4,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,3,4,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,3,5,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,3,5,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,4,1,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,4,1,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,4,3,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,4,3,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,4,5,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,4,5,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,5,1,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,5,1,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,5,3,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,5,3,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,5,4,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(2,5),(3,5),(4,5)],6) => 5
[3,1,2,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 3
[3,1,2,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 3
[3,1,2,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,1,2,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,1,2,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,1,2,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,1,4,2,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 3
[3,1,4,2,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 3
[3,1,4,5,2,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 3
[3,1,4,5,6,2] => [1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 3
[3,1,4,6,2,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,1,4,6,5,2] => [1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,1,5,2,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[3,1,5,2,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 3
[3,1,5,4,2,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[3,1,5,4,6,2] => [1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 3
[3,1,5,6,2,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,1,5,6,4,2] => [1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,1,6,2,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,1,6,2,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,1,6,4,2,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,1,6,4,5,2] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,1,6,5,2,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,1,6,5,4,2] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,2,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 3
[3,2,1,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 3
[3,2,1,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,2,1,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,2,1,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,2,4,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 3
[3,2,4,1,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 3
[3,2,4,5,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 3
[3,2,4,5,6,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 3
[3,2,4,6,1,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,2,5,1,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 3
[3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 3
[3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,2,6,1,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,4,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 3
[3,4,1,2,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3
[3,4,1,5,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 3
[3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 3
[3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,4,1,6,5,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,4,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 3
[3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3
[3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 3
[3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 3
[3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 3
[3,4,5,1,6,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 3
[3,4,5,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 3
[3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 3
[3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,4,5,6,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
[3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,4,6,1,5,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,4,6,2,1,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,4,6,2,5,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,4,6,5,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,5,1,2,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 4
[3,5,1,2,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 4
[3,5,1,4,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 4
[3,5,1,4,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 4
[3,5,1,6,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 4
[3,5,1,6,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 4
[3,5,2,1,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 4
[3,5,2,1,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 4
[3,5,2,4,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 4
[3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 4
[3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 4
[3,5,2,6,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 4
[3,5,4,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 4
[3,5,4,1,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 4
[3,5,4,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 4
[3,5,4,2,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 4
[3,5,4,6,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 4
[3,5,4,6,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 4
[3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 4
[3,5,6,1,4,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 4
[3,5,6,2,1,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 4
[3,5,6,2,4,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 4
[3,5,6,4,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 4
[3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => ([(1,5),(2,5),(3,4),(3,5)],6) => 4
[3,6,1,2,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,1,2,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,1,4,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,1,4,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,1,5,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,1,5,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,2,1,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,2,1,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,2,4,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,2,4,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,2,5,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,2,5,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,4,1,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,4,1,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,4,2,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,4,2,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,4,5,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,4,5,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,5,1,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,5,1,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,5,2,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,5,2,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,5,4,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => ([(2,5),(3,5),(4,5)],6) => 5
[4,1,2,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4
[4,1,2,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,1,2,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4
[4,1,2,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,1,2,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,1,2,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,1,3,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4
[4,1,3,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,1,3,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4
[4,1,3,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,1,3,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,1,3,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,1,5,2,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4
[4,1,5,2,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,1,5,3,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4
[4,1,5,3,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,1,5,6,2,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,1,5,6,3,2] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,1,6,2,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,1,6,2,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,1,6,3,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,1,6,3,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,1,6,5,2,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,1,6,5,3,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,2,1,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4
[4,2,1,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,2,1,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4
[4,2,1,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,2,1,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,2,1,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,2,3,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4
[4,2,3,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,2,3,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4
[4,2,3,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,2,3,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,2,3,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,2,5,1,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4
[4,2,5,1,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,2,5,3,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4
[4,2,5,3,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,2,5,6,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,2,5,6,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,2,6,1,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,2,6,1,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,2,6,3,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,2,6,3,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,2,6,5,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,2,6,5,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,3,1,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4
[4,3,1,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,3,1,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4
[4,3,1,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,3,1,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,3,1,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,3,2,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 4
[4,3,2,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,3,2,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 4
[4,3,2,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,3,2,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,3,2,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,3,5,1,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4
[4,3,5,1,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,3,5,2,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4
[4,3,5,2,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,3,5,6,1,2] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,3,5,6,2,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,3,6,1,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,3,6,1,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,3,6,2,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,3,6,2,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,3,6,5,1,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[4,5,1,2,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4
[4,5,1,2,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,5,1,3,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4
[4,5,1,3,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,5,1,6,2,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,5,1,6,3,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,5,2,1,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4
[4,5,2,1,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,5,2,3,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4
[4,5,2,3,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,5,2,6,1,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,5,2,6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,5,3,1,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4
[4,5,3,1,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,5,3,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4
[4,5,3,2,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 4
[4,5,3,6,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,5,3,6,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => ([(1,5),(2,3),(2,4),(2,5)],6) => 4
[4,5,6,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4
[4,5,6,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4
[4,5,6,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4
[4,5,6,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4
[4,5,6,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4
[4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => ([(2,5),(3,4),(3,5)],6) => 4
[4,6,1,2,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,1,2,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,1,3,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,1,3,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,1,5,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,1,5,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,2,1,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,2,1,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,2,3,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,2,3,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,2,5,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,2,5,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,3,1,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,3,1,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,3,2,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,3,2,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,3,5,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,3,5,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,5,1,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,5,1,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,5,2,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,5,2,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,5,3,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => ([(3,5),(4,5)],6) => 5
[5,1,2,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,1,2,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,1,2,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,1,2,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,1,2,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,1,2,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,1,3,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,1,3,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,1,3,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,1,3,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,1,3,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,1,3,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,1,4,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,1,4,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,1,4,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,1,4,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,1,4,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,1,4,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,1,6,2,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,1,6,2,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,1,6,3,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,1,6,3,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,1,6,4,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,1,6,4,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,2,1,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,2,1,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,2,1,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,2,1,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,2,1,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,2,1,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,2,3,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,2,3,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,2,3,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,2,3,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,2,3,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,2,3,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,2,4,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,2,4,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,2,4,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,2,4,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,2,4,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,2,4,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,2,6,1,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,2,6,1,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,2,6,3,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,2,6,3,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,2,6,4,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,2,6,4,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,3,1,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,3,1,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,3,1,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,3,1,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,3,1,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,3,1,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,3,2,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,3,2,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,3,2,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,3,2,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,3,2,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,3,2,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,3,4,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,3,4,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,3,4,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,3,4,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,3,4,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,3,4,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,3,6,1,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,3,6,1,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,3,6,2,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,3,6,2,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,3,6,4,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,3,6,4,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,4,1,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,4,1,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,4,1,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,4,1,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,4,1,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,4,1,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,4,2,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,4,2,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,4,2,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,4,2,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,4,2,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,4,2,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,4,3,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,4,3,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,4,3,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 5
[5,4,3,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5)],6) => 5
[5,4,3,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,4,3,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5)],6) => 5
[5,4,6,1,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,4,6,1,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,4,6,2,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,4,6,2,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,4,6,3,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => ([(3,4),(3,5)],6) => 5
[5,6,1,2,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,1,2,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,1,3,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,1,3,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,1,4,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,1,4,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,2,1,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,2,1,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,2,3,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,2,3,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,2,4,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,2,4,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,3,1,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,3,1,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,3,2,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,3,2,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,3,4,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,3,4,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,4,1,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,4,1,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,4,2,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,4,2,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,4,3,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => ([(4,5)],6) => 5
[6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,2,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,2,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,3,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,3,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,4,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,4,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,4,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,4,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,5,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,5,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,5,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,5,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,5,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,1,5,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,1,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,1,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,1,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,1,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,3,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,3,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,3,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,4,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,4,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,4,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,4,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,5,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,5,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,5,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,5,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,2,5,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,1,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,1,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,1,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,1,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,2,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,2,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,2,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,2,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,4,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,4,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,4,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,4,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,5,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,1,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,1,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,1,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,1,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,1,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,1,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,2,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,2,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,2,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,2,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,2,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,2,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,3,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,3,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,3,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,3,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,3,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,3,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,5,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,5,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,1,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,1,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,1,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,2,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,2,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,3,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,3,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,3,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,3,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,4,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => ([],6) => 6
[1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,4,5,7,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[1,2,3,4,6,5,7] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => 2
[1,2,3,4,6,7,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 2
[1,2,3,4,7,5,6] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 3
[1,2,3,4,7,6,5] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 3
[1,2,3,5,4,6,7] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => 2
[1,2,3,5,4,7,6] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 2
[1,2,3,5,6,4,7] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 2
[1,2,3,5,7,4,6] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
[1,2,3,5,7,6,4] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
[1,2,3,6,4,5,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => 3
[1,2,3,6,5,4,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => 3
[1,2,3,6,7,4,5] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 3
[1,2,3,6,7,5,4] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 3
[1,2,3,7,4,5,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
[1,2,3,7,4,6,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
[1,2,3,7,5,4,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
[1,2,3,7,5,6,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
[1,2,3,7,6,4,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
[1,2,3,7,6,5,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
[1,2,4,3,5,6,7] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 2
[1,2,4,3,5,7,6] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 2
[1,2,4,3,6,5,7] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2
[1,2,4,3,7,5,6] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 3
[1,2,4,3,7,6,5] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 3
[1,2,4,5,3,6,7] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 2
[1,2,4,5,3,7,6] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 2
[1,2,4,5,6,3,7] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 2
[1,2,4,5,7,3,6] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 3
[1,2,4,5,7,6,3] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 3
[1,2,4,6,3,5,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 3
[1,2,4,6,5,3,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 3
[1,2,4,6,7,3,5] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 3
[1,2,4,6,7,5,3] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 3
[1,2,4,7,3,5,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 4
[1,2,4,7,3,6,5] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 4
[1,2,4,7,5,3,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 4
[1,2,4,7,5,6,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 4
[1,2,4,7,6,3,5] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 4
[1,2,4,7,6,5,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 4
[1,2,5,3,4,6,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => 3
[1,2,5,3,6,4,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => 3
[1,2,5,3,7,4,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 3
[1,2,5,3,7,6,4] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 3
[1,2,5,4,3,6,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => 3
[1,2,5,4,6,3,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => 3
[1,2,5,4,7,3,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 3
[1,2,5,4,7,6,3] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 3
[1,2,5,6,3,4,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 3
[1,2,5,6,3,7,4] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 3
[1,2,5,6,4,3,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 3
[1,2,5,6,4,7,3] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 3
[1,2,5,7,3,4,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 4
[1,2,5,7,3,6,4] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 4
[1,2,5,7,4,3,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 4
[1,2,5,7,4,6,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 4
[1,2,5,7,6,3,4] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 4
[1,2,5,7,6,4,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 4
[1,2,6,3,4,5,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 4
[1,2,6,3,4,7,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,3,5,4,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 4
[1,2,6,3,5,7,4] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,3,7,4,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,3,7,5,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,4,3,5,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 4
[1,2,6,4,3,7,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,4,5,3,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 4
[1,2,6,4,5,7,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,4,7,3,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,4,7,5,3] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,5,3,4,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 4
[1,2,6,5,3,7,4] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,5,4,3,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 4
[1,2,6,5,4,7,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,5,7,3,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,5,7,4,3] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 4
[1,2,6,7,3,4,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 4
[1,2,6,7,3,5,4] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 4
[1,2,6,7,4,3,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 4
[1,2,6,7,4,5,3] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 4
[1,2,6,7,5,3,4] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 4
[1,2,6,7,5,4,3] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 4
[1,2,7,3,4,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,3,4,6,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,3,5,4,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,3,5,6,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,3,6,4,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,3,6,5,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,4,3,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,4,3,6,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,4,5,3,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,4,5,6,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,4,6,3,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,4,6,5,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,5,3,4,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,5,3,6,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,5,4,3,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,5,4,6,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,5,6,3,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,5,6,4,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,6,3,4,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,6,3,5,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,6,4,3,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,6,4,5,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,6,5,3,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,2,7,6,5,4,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 5
[1,3,2,4,5,6,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => 2
[1,3,2,4,5,7,6] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 2
[1,3,2,4,6,5,7] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2
[1,3,2,4,6,7,5] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 2
[1,3,2,4,7,5,6] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 3
[1,3,2,4,7,6,5] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 3
[1,3,2,5,4,7,6] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 2
[1,3,2,5,7,4,6] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 3
[1,3,2,5,7,6,4] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 3
[1,3,2,6,4,5,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 3
[1,3,2,6,5,4,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 3
[1,3,2,6,7,4,5] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 3
[1,3,2,6,7,5,4] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 3
[1,3,2,7,4,5,6] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,2,7,4,6,5] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,2,7,5,4,6] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,2,7,5,6,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,2,7,6,4,5] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,2,7,6,5,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,4,2,5,6,7] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 2
[1,3,4,2,5,7,6] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 2
[1,3,4,2,7,5,6] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 3
[1,3,4,2,7,6,5] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 3
[1,3,4,5,2,6,7] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 2
[1,3,4,5,2,7,6] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 2
[1,3,4,5,7,2,6] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 3
[1,3,4,5,7,6,2] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 3
[1,3,4,6,2,5,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 3
[1,3,4,6,5,2,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 3
[1,3,4,6,7,2,5] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 3
[1,3,4,6,7,5,2] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 3
[1,3,4,7,2,5,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,4,7,2,6,5] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,4,7,5,2,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,4,7,5,6,2] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,4,7,6,2,5] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,4,7,6,5,2] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
[1,3,5,2,4,6,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => 3
[1,3,5,2,6,4,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => 3
[1,3,5,2,7,4,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 3
[1,3,5,2,7,6,4] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 3
[1,3,5,4,2,6,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => 3
[1,3,5,4,6,2,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => 3
[1,3,5,4,7,2,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 3
[1,3,5,4,7,6,2] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 3
[1,3,5,6,2,4,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => 3
[1,3,5,6,4,2,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => 3
[1,3,5,7,2,4,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,5,7,2,6,4] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,5,7,4,2,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,5,7,4,6,2] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,5,7,6,2,4] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,5,7,6,4,2] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,2,4,5,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,2,4,7,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,2,5,4,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,2,5,7,4] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,2,7,4,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,2,7,5,4] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,4,2,5,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,4,2,7,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,4,5,2,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,4,5,7,2] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,4,7,2,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,4,7,5,2] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,5,2,4,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,5,2,7,4] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,5,4,2,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,5,4,7,2] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,5,7,2,4] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,5,7,4,2] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,7,2,4,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,7,2,5,4] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,7,4,2,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,7,4,5,2] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,7,5,2,4] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,6,7,5,4,2] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
[1,3,7,2,4,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,2,4,6,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,2,5,4,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,2,5,6,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,2,6,4,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,2,6,5,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,4,2,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,4,2,6,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,4,5,2,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,4,5,6,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,4,6,2,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,4,6,5,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,5,2,4,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,5,2,6,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,5,4,2,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,5,4,6,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,5,6,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,5,6,4,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,6,2,4,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,6,2,5,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,6,4,2,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,6,4,5,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,6,5,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,3,7,6,5,4,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 5
[1,4,2,3,5,6,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 3
[1,4,2,3,5,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 3
[1,4,2,3,6,5,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[1,4,2,5,3,6,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => 3
[1,4,2,5,3,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 3
[1,4,2,5,6,3,7] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 3
[1,4,2,6,3,5,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
[1,4,2,6,5,3,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
[1,4,2,6,7,3,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[1,4,2,6,7,5,3] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[1,4,2,7,3,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,2,7,3,6,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,2,7,5,3,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,2,7,5,6,3] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,2,7,6,3,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,2,7,6,5,3] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,3,2,5,6,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 3
[1,4,3,2,5,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 3
[1,4,3,2,6,5,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[1,4,3,5,2,6,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => 3
[1,4,3,5,2,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 3
[1,4,3,5,6,2,7] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 3
[1,4,3,6,2,5,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
[1,4,3,6,5,2,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
[1,4,3,6,7,2,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[1,4,3,6,7,5,2] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[1,4,3,7,2,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,3,7,2,6,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,3,7,5,2,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,3,7,5,6,2] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,3,7,6,2,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,3,7,6,5,2] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,5,2,3,6,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => 3
[1,4,5,2,6,3,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 3
[1,4,5,2,7,3,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[1,4,5,2,7,6,3] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[1,4,5,3,2,6,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => 3
[1,4,5,3,6,2,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 3
[1,4,5,3,7,2,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[1,4,5,3,7,6,2] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 3
[1,4,5,6,2,3,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 3
[1,4,5,6,3,2,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 3
[1,4,5,7,2,3,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,5,7,2,6,3] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,5,7,3,2,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,5,7,3,6,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,5,7,6,2,3] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,5,7,6,3,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,6,2,3,5,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4
[1,4,6,2,5,3,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4
[1,4,6,2,7,3,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4
[1,4,6,2,7,5,3] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4
[1,4,6,3,2,5,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4
[1,4,6,3,5,2,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4
[1,4,6,3,7,2,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4
[1,4,6,3,7,5,2] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4
[1,4,6,5,2,3,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4
[1,4,6,5,3,2,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4
[1,4,6,5,7,2,3] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4
[1,4,6,5,7,3,2] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 4
[1,4,6,7,2,3,5] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,6,7,2,5,3] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,6,7,3,2,5] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,6,7,3,5,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,6,7,5,2,3] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,6,7,5,3,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,4,7,2,3,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,2,3,6,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,2,5,3,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,2,5,6,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,2,6,3,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,2,6,5,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,3,2,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,3,2,6,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,3,5,2,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,3,5,6,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,3,6,2,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,3,6,5,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,5,2,3,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,5,2,6,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,5,3,2,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,5,3,6,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,5,6,2,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,5,6,3,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,6,2,3,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,6,2,5,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,6,3,2,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,6,3,5,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,6,5,2,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,4,7,6,5,3,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 5
[1,5,2,3,4,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[1,5,2,3,6,4,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[1,5,2,4,3,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[1,5,2,4,6,3,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[1,5,2,6,3,4,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[1,5,2,6,4,3,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[1,5,2,7,3,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,2,7,3,6,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,2,7,4,3,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,2,7,4,6,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,2,7,6,3,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,2,7,6,4,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,3,2,4,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[1,5,3,2,6,4,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[1,5,3,4,2,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[1,5,3,4,6,2,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[1,5,3,6,2,4,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[1,5,3,6,4,2,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[1,5,3,7,2,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,3,7,2,6,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,3,7,4,2,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,3,7,4,6,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,3,7,6,2,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,3,7,6,4,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,4,2,3,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[1,5,4,2,6,3,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[1,5,4,3,2,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[1,5,4,3,6,2,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[1,5,4,6,2,3,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[1,5,4,6,3,2,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[1,5,4,7,2,3,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,4,7,2,6,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,4,7,3,2,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,4,7,3,6,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,4,7,6,2,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,4,7,6,3,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,6,2,3,4,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 4
[1,5,6,2,3,7,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,5,6,2,4,3,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 4
[1,5,6,2,4,7,3] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,5,6,3,2,4,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 4
[1,5,6,3,2,7,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,5,6,3,4,2,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 4
[1,5,6,3,4,7,2] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,5,6,4,2,3,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 4
[1,5,6,4,2,7,3] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,5,6,4,3,2,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 4
[1,5,6,4,3,7,2] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,5,6,7,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,6,7,2,4,3] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,6,7,3,2,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,6,7,3,4,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,6,7,4,2,3] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,6,7,4,3,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
[1,5,7,2,3,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,2,3,6,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,2,4,3,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,2,4,6,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,2,6,3,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,2,6,4,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,3,2,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,3,2,6,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,3,4,2,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,3,4,6,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,3,6,2,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,3,6,4,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,4,2,3,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,4,2,6,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,4,3,2,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,4,3,6,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,4,6,2,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,4,6,3,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,6,2,3,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,6,2,4,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,6,3,2,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,6,3,4,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,6,4,2,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,5,7,6,4,3,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 5
[1,6,2,3,4,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,3,4,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,3,5,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,3,5,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,3,7,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,3,7,5,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,4,3,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,4,3,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,4,5,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,4,5,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,4,7,3,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,4,7,5,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,5,3,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,5,3,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,5,4,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,5,4,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,5,7,3,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,5,7,4,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,2,7,3,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,2,7,3,5,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,2,7,4,3,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,2,7,4,5,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,2,7,5,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,2,7,5,4,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,3,2,4,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,2,4,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,2,5,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,2,5,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,2,7,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,2,7,5,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,4,2,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,4,2,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,4,5,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,4,5,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,4,7,2,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,4,7,5,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,5,2,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,5,2,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,5,4,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,5,4,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,5,7,2,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,5,7,4,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,3,7,2,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,3,7,2,5,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,3,7,4,2,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,3,7,4,5,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,3,7,5,2,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,3,7,5,4,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,4,2,3,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,2,3,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,2,5,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,2,5,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,2,7,3,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,2,7,5,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,3,2,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,3,2,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,3,5,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,3,5,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,3,7,2,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,3,7,5,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,5,2,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,5,2,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,5,3,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,5,3,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,5,7,2,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,5,7,3,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,4,7,2,3,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,4,7,2,5,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,4,7,3,2,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,4,7,3,5,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,4,7,5,2,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,4,7,5,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,5,2,3,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,2,3,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,2,4,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,2,4,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,2,7,3,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,2,7,4,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,3,2,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,3,2,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,3,4,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,3,4,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,3,7,2,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,3,7,4,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,4,2,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,4,2,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,4,3,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,4,3,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,4,7,2,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,4,7,3,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
[1,6,5,7,2,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,5,7,2,4,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,5,7,3,2,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,5,7,3,4,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,5,7,4,2,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,5,7,4,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 5
[1,6,7,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,2,3,5,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,2,4,3,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,2,4,5,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,2,5,3,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,2,5,4,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,3,2,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,3,2,5,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,3,4,2,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,3,4,5,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,3,5,2,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,3,5,4,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,4,2,3,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,4,2,5,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,4,3,2,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,4,3,5,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,4,5,2,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,4,5,3,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,5,2,3,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,5,2,4,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,5,3,2,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,5,3,4,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,5,4,2,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,6,7,5,4,3,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
[1,7,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,3,4,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,3,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,3,5,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,3,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,3,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,4,3,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,4,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,4,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,4,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,4,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,4,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,5,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,5,3,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,5,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,5,4,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,5,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,5,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,6,3,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,6,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,6,4,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,6,4,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,6,5,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,2,6,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,2,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,2,4,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,2,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,2,5,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,2,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,2,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,4,2,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,4,2,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,4,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,4,5,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,4,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,4,6,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,5,2,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,5,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,5,4,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,5,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,5,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,5,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,6,2,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,6,2,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,6,4,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,6,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,6,5,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,3,6,5,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,2,3,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,2,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,2,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,2,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,2,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,2,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,3,2,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,3,2,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,3,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,3,5,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,3,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,3,6,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,5,2,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,5,2,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,5,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,5,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,5,6,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,5,6,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,6,2,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,6,2,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,6,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,6,3,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,6,5,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,4,6,5,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,2,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,2,3,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,2,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,2,4,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,2,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,2,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,3,2,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,3,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,3,4,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,3,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,3,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,3,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,4,2,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,4,2,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,4,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,4,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,4,6,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,4,6,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,6,2,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,6,2,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,6,3,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,6,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,6,4,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,5,6,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,2,3,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,2,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,2,4,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,2,4,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,2,5,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,2,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,3,2,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,3,2,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,3,4,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,3,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,3,5,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,3,5,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,4,2,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,4,2,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,4,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,4,3,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,4,5,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,4,5,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,5,2,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,5,2,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,5,3,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,5,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,5,4,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,1,3,4,5,6,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 2
[2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 3
[2,1,3,4,7,6,5] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 3
[2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 2
[2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 2
[2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 2
[2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 3
[2,1,3,5,7,6,4] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 3
[2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 3
[2,1,3,6,5,4,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 3
[2,1,3,6,7,4,5] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 3
[2,1,3,6,7,5,4] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 3
[2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 4
[2,1,3,7,4,6,5] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 4
[2,1,3,7,5,4,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 4
[2,1,3,7,5,6,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 4
[2,1,3,7,6,4,5] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 4
[2,1,3,7,6,5,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 4
[2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 2
[2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 2
[2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3
[2,1,4,3,7,6,5] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3
[2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 2
[2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 3
[2,1,4,5,7,6,3] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 3
[2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
[2,1,4,6,5,3,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
[2,1,4,6,7,3,5] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 3
[2,1,4,6,7,5,3] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 3
[2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4
[2,1,4,7,3,6,5] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4
[2,1,4,7,5,3,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4
[2,1,4,7,5,6,3] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4
[2,1,4,7,6,3,5] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4
[2,1,4,7,6,5,3] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4
[2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3
[2,1,5,3,6,4,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 3
[2,1,5,3,7,4,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
[2,1,5,3,7,6,4] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
[2,1,5,4,3,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3
[2,1,5,4,6,3,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 3
[2,1,5,4,7,3,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
[2,1,5,4,7,6,3] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
[2,1,5,6,3,7,4] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
[2,1,5,6,4,7,3] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 3
[2,1,5,7,3,4,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 4
[2,1,5,7,3,6,4] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 4
[2,1,5,7,4,3,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 4
[2,1,5,7,4,6,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 4
[2,1,5,7,6,3,4] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 4
[2,1,5,7,6,4,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 4
[2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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) => 4
[2,1,6,3,5,4,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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) => 4
[2,1,6,3,7,4,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,1,6,3,7,5,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,1,6,4,3,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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) => 4
[2,1,6,4,5,3,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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) => 4
[2,1,6,4,7,3,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,1,6,4,7,5,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,1,6,5,3,4,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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) => 4
[2,1,6,5,4,3,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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) => 4
[2,1,6,5,7,3,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,1,6,5,7,4,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,1,6,7,3,4,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 4
[2,1,6,7,3,5,4] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 4
[2,1,6,7,4,3,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 4
[2,1,6,7,4,5,3] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 4
[2,1,6,7,5,3,4] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 4
[2,1,6,7,5,4,3] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 4
[2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,3,4,6,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,3,5,4,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,3,5,6,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,3,6,4,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,3,6,5,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,4,3,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,4,3,6,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,4,5,3,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,4,5,6,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,4,6,3,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,4,6,5,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,5,3,4,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,5,3,6,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,5,4,3,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,5,4,6,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,5,6,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,5,6,4,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,6,3,4,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,6,3,5,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,6,4,3,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,6,4,5,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,6,5,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,1,7,6,5,4,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 2
[2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 2
[2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 3
[2,3,1,4,7,6,5] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 3
[2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 2
[2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 3
[2,3,1,5,7,6,4] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 3
[2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 3
[2,3,1,6,5,4,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 3
[2,3,1,6,7,4,5] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 3
[2,3,1,6,7,5,4] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 3
[2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
[2,3,1,7,4,6,5] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
[2,3,1,7,5,4,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
[2,3,1,7,5,6,4] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
[2,3,1,7,6,4,5] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
[2,3,1,7,6,5,4] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
[2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 2
[2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 2
[2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 3
[2,3,4,1,7,6,5] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 3
[2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 2
[2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) => 2
[2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 3
[2,3,4,5,7,6,1] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 3
[2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 3
[2,3,4,6,5,1,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 3
[2,3,4,6,7,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 3
[2,3,4,6,7,5,1] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 3
[2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 4
[2,3,4,7,1,6,5] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 4
[2,3,4,7,5,1,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 4
[2,3,4,7,5,6,1] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 4
[2,3,4,7,6,1,5] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 4
[2,3,4,7,6,5,1] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 4
[2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3
[2,3,5,1,7,4,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3
[2,3,5,1,7,6,4] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3
[2,3,5,4,1,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3
[2,3,5,4,7,1,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3
[2,3,5,4,7,6,1] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 3
[2,3,5,6,1,7,4] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 3
[2,3,5,6,4,7,1] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 3
[2,3,5,7,1,4,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 4
[2,3,5,7,1,6,4] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 4
[2,3,5,7,4,1,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 4
[2,3,5,7,4,6,1] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 4
[2,3,5,7,6,1,4] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 4
[2,3,5,7,6,4,1] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 4
[2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,1,5,4,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,1,7,4,5] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,1,7,5,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,4,1,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,4,5,1,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,4,7,1,5] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,4,7,5,1] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,5,1,4,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,5,4,1,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,5,7,1,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,5,7,4,1] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 4
[2,3,6,7,1,4,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,3,6,7,1,5,4] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,3,6,7,4,1,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,3,6,7,4,5,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,3,6,7,5,1,4] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,3,6,7,5,4,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,3,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,1,4,6,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,1,5,4,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,1,5,6,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,1,6,4,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,1,6,5,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,4,1,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,4,1,6,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,4,5,1,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,4,5,6,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,4,6,1,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,4,6,5,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,5,1,4,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,5,1,6,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,5,4,1,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,5,4,6,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,5,6,1,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,5,6,4,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,6,1,4,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,6,1,5,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,6,4,1,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,6,4,5,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,6,5,1,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,3,7,6,5,4,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 3
[2,4,1,3,5,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 3
[2,4,1,3,6,5,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 3
[2,4,1,5,3,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 3
[2,4,1,6,3,5,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 3
[2,4,1,6,5,3,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 3
[2,4,1,6,7,3,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 3
[2,4,1,6,7,5,3] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 3
[2,4,1,7,3,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,1,7,3,6,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,1,7,5,3,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,1,7,5,6,3] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,1,7,6,3,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,1,7,6,5,3] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,3,1,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 3
[2,4,3,1,5,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 3
[2,4,3,1,6,5,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 3
[2,4,3,5,1,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 3
[2,4,3,6,1,5,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 3
[2,4,3,6,5,1,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 3
[2,4,3,6,7,1,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 3
[2,4,3,6,7,5,1] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 3
[2,4,3,7,1,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,3,7,1,6,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,3,7,5,1,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,3,7,5,6,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,3,7,6,1,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,3,7,6,5,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 4
[2,4,5,1,6,3,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 3
[2,4,5,1,6,7,3] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 3
[2,4,5,3,6,1,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 3
[2,4,5,3,6,7,1] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 3
[2,4,5,7,1,3,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 4
[2,4,5,7,1,6,3] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 4
[2,4,5,7,3,1,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 4
[2,4,5,7,3,6,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 4
[2,4,5,7,6,1,3] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 4
[2,4,5,7,6,3,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 4
[2,4,6,1,3,5,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,4,6,1,5,3,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,4,6,1,7,3,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 4
[2,4,6,1,7,5,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 4
[2,4,6,3,1,5,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,4,6,3,5,1,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,4,6,3,7,1,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 4
[2,4,6,3,7,5,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 4
[2,4,6,5,1,3,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,4,6,5,3,1,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[2,4,6,5,7,1,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 4
[2,4,6,5,7,3,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 4
[2,4,6,7,1,3,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,4,6,7,1,5,3] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,4,6,7,3,1,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,4,6,7,3,5,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,4,6,7,5,1,3] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,4,6,7,5,3,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,4,7,1,3,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,1,3,6,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,1,5,3,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,1,5,6,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,1,6,3,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,1,6,5,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,3,1,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,3,1,6,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,3,5,1,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,3,5,6,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,3,6,1,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,3,6,5,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,5,1,3,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,5,1,6,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,5,3,1,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,5,3,6,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,5,6,1,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,5,6,3,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,6,1,3,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,6,1,5,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,6,3,1,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,6,3,5,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,6,5,1,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,4,7,6,5,3,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[2,5,1,3,6,4,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[2,5,1,4,3,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[2,5,1,4,6,3,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[2,5,1,6,3,4,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[2,5,1,6,4,3,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[2,5,1,7,3,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,1,7,3,6,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,1,7,4,3,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,1,7,4,6,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,1,7,6,3,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,1,7,6,4,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,3,1,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[2,5,3,1,6,4,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[2,5,3,4,1,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[2,5,3,4,6,1,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[2,5,3,6,1,4,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[2,5,3,6,4,1,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[2,5,3,7,1,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,3,7,1,6,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,3,7,4,1,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,3,7,4,6,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,3,7,6,1,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,3,7,6,4,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,4,1,3,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[2,5,4,1,6,3,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[2,5,4,3,1,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[2,5,4,3,6,1,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 4
[2,5,4,6,1,3,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[2,5,4,6,3,1,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
[2,5,4,7,1,3,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,4,7,1,6,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,4,7,3,1,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,4,7,3,6,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,4,7,6,1,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,4,7,6,3,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 4
[2,5,6,1,3,4,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 4
[2,5,6,1,4,3,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 4
[2,5,6,3,1,4,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 4
[2,5,6,3,4,1,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 4
[2,5,6,4,1,3,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 4
[2,5,6,4,3,1,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 4
[2,5,6,7,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,5,6,7,1,4,3] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,5,6,7,3,1,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,5,6,7,3,4,1] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,5,6,7,4,1,3] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,5,6,7,4,3,1] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 4
[2,5,7,1,3,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,1,3,6,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,1,4,3,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,1,4,6,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,1,6,3,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,1,6,4,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,3,1,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,3,1,6,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,3,4,1,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,3,4,6,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,3,6,1,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,3,6,4,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,4,1,3,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,4,1,6,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,4,3,1,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,4,3,6,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,4,6,1,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,4,6,3,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,6,1,3,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,6,1,4,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,6,3,1,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,6,3,4,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,6,4,1,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,5,7,6,4,3,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[2,6,1,3,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,3,4,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,3,5,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,3,5,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,3,7,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,1,3,7,5,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,1,4,3,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,4,3,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,4,5,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,4,5,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,4,7,3,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,1,4,7,5,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,1,5,3,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,5,3,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,5,4,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,5,4,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,1,5,7,3,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,1,5,7,4,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,1,7,3,4,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,1,7,3,5,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,1,7,4,3,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,1,7,4,5,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,1,7,5,3,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,1,7,5,4,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,3,1,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,1,4,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,1,5,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,1,5,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,1,7,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,3,1,7,5,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,3,4,1,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,4,1,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,4,5,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,4,5,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,4,7,1,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,3,4,7,5,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,3,5,1,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,5,1,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,5,4,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,5,4,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,3,5,7,1,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,3,5,7,4,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,3,7,1,4,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,3,7,1,5,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,3,7,4,1,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,3,7,4,5,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,3,7,5,1,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,3,7,5,4,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,4,1,3,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,1,3,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,1,5,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,1,5,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,1,7,3,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,4,1,7,5,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,4,3,1,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,3,1,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,3,5,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,3,5,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,3,7,1,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,4,3,7,5,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,4,5,1,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,5,1,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,5,3,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,5,3,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,4,5,7,1,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,4,5,7,3,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,4,7,1,3,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,4,7,1,5,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,4,7,3,1,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,4,7,3,5,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,4,7,5,1,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,4,7,5,3,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,5,1,3,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,1,3,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,1,4,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,1,4,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,1,7,3,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,5,1,7,4,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,5,3,1,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,3,1,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,3,4,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,3,4,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,3,7,1,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,5,3,7,4,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,5,4,1,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,4,1,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,4,3,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,4,3,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 5
[2,6,5,4,7,1,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,5,4,7,3,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 5
[2,6,5,7,1,3,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,5,7,1,4,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,5,7,3,1,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,5,7,3,4,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,5,7,4,1,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,5,7,4,3,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 5
[2,6,7,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,1,3,5,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,1,4,3,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,1,4,5,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,1,5,3,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,1,5,4,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,3,1,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,3,1,5,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,3,4,1,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,3,4,5,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,3,5,1,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,3,5,4,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,4,1,3,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,4,1,5,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,4,3,1,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,4,3,5,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,4,5,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,4,5,3,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,5,1,3,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,5,1,4,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,5,3,1,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,5,3,4,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,5,4,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,6,7,5,4,3,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[2,7,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,3,4,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,3,5,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,3,5,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,3,6,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,3,6,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,4,3,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,4,3,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,4,5,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,4,5,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,4,6,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,4,6,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,5,3,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,5,3,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,5,4,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,5,4,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,5,6,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,5,6,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,6,3,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,6,3,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,6,4,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,6,4,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,6,5,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,1,6,5,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,1,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,1,4,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,1,5,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,1,5,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,1,6,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,1,6,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,4,1,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,4,1,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,4,5,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,4,5,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,4,6,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,4,6,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,5,1,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,5,1,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,5,4,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,5,4,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,5,6,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,5,6,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,6,1,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,6,1,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,6,4,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,6,4,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,6,5,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,3,6,5,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,1,3,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,1,3,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,1,5,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,1,5,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,1,6,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,1,6,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,3,1,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,3,1,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,3,5,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,3,5,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,3,6,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,3,6,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,5,1,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,5,1,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,5,3,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,5,3,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,5,6,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,5,6,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,6,1,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,6,1,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,6,3,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,6,3,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,6,5,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,4,6,5,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,1,3,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,1,3,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,1,4,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,1,4,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,1,6,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,1,6,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,3,1,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,3,1,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,3,4,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,3,4,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,3,6,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,3,6,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,4,1,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,4,1,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,4,3,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,4,3,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,4,6,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,4,6,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,6,1,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,6,1,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,6,3,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,6,3,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,6,4,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,5,6,4,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,1,3,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,1,3,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,1,4,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,1,4,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,1,5,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,1,5,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,3,1,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,3,1,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,3,4,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,3,4,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,3,5,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,3,5,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,4,1,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,4,1,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,4,3,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,4,3,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,4,5,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,4,5,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,5,1,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,5,1,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,5,3,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,5,3,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,5,4,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,7,6,5,4,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,1,2,4,5,6,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 3
[3,1,2,4,5,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 3
[3,1,2,4,6,5,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 3
[3,1,2,4,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 3
[3,1,2,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 3
[3,1,2,5,4,7,6] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3
[3,1,2,5,6,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3
[3,1,2,5,7,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3
[3,1,2,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3
[3,1,2,6,4,5,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(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
[3,1,2,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(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
[3,1,2,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,2,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,2,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,2,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,2,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,2,7,6,5,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,4,2,5,6,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 3
[3,1,4,2,5,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 3
[3,1,4,2,6,5,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 3
[3,1,4,2,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,1,4,2,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,1,4,5,2,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3
[3,1,4,5,7,2,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 3
[3,1,4,5,7,6,2] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 3
[3,1,4,6,2,5,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
[3,1,4,6,5,2,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
[3,1,4,7,2,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,4,7,2,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,4,7,5,2,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,4,7,5,6,2] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,4,7,6,2,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,4,7,6,5,2] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,5,2,4,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3
[3,1,5,2,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,1,5,2,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,1,5,4,2,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3
[3,1,5,4,7,2,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,1,5,4,7,6,2] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,1,5,6,2,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
[3,1,5,6,4,2,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
[3,1,5,7,2,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,5,7,2,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,5,7,4,2,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,5,7,4,6,2] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,5,7,6,2,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,5,7,6,4,2] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,6,2,4,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,1,6,2,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,1,6,2,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,1,6,2,7,5,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,1,6,4,2,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,1,6,4,5,2,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,1,6,4,7,2,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,1,6,4,7,5,2] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,1,6,5,2,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,1,6,5,4,2,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,1,6,5,7,2,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,1,6,5,7,4,2] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,1,6,7,2,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,6,7,2,5,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,6,7,4,2,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,6,7,4,5,2] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,6,7,5,2,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,6,7,5,4,2] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,1,7,2,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,2,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,2,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,2,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,2,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,2,6,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,4,2,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,4,2,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,4,5,2,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,4,5,6,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,4,6,2,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,4,6,5,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,5,2,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,5,2,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,5,4,2,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,5,4,6,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,5,6,2,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,5,6,4,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,6,2,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,6,2,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,6,4,2,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,6,4,5,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,6,5,2,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,1,7,6,5,4,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,1,4,5,6,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 3
[3,2,1,4,5,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 3
[3,2,1,4,6,5,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 3
[3,2,1,4,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 3
[3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 3
[3,2,1,5,4,7,6] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3
[3,2,1,5,6,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3
[3,2,1,5,7,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3
[3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 3
[3,2,1,6,4,5,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(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
[3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => ([(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
[3,2,1,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,1,7,6,5,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,4,1,5,6,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 3
[3,2,4,1,5,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 3
[3,2,4,1,6,5,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 3
[3,2,4,1,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,2,4,5,1,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3
[3,2,4,5,7,1,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 3
[3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 3
[3,2,4,6,1,5,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
[3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
[3,2,4,7,1,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,4,7,6,5,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,5,1,4,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3
[3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3
[3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 3
[3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
[3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
[3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,5,7,1,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,5,7,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,5,7,4,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,5,7,6,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,5,7,6,4,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,6,1,4,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,2,6,1,7,5,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,2,6,4,7,5,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,2,6,5,4,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,2,6,5,7,1,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,2,6,5,7,4,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 4
[3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,6,7,1,5,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,6,7,4,1,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,6,7,4,5,1] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,6,7,5,1,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,6,7,5,4,1] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,2,7,1,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,1,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,1,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,1,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,1,6,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,4,1,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,4,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,4,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,4,6,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,4,6,5,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,5,1,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,5,4,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,5,4,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,5,6,1,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,5,6,4,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,6,1,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,6,4,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,6,4,5,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,6,5,1,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,2,7,6,5,4,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,1,2,5,6,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 3
[3,4,1,2,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 3
[3,4,1,2,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 3
[3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 3
[3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => 3
[3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
[3,4,1,6,5,2,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
[3,4,1,6,7,2,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3
[3,4,1,6,7,5,2] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3
[3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,1,7,2,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,1,7,5,2,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,1,7,5,6,2] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,1,7,6,2,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,1,7,6,5,2] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,2,1,5,6,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 3
[3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 3
[3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 3
[3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 3
[3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => 3
[3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
[3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
[3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3
[3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => 3
[3,4,2,7,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,2,7,6,5,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
[3,4,5,6,2,1,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 3
[3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,5,7,1,6,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,5,7,2,1,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,5,7,2,6,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,5,7,6,1,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,5,7,6,2,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,4,6,1,5,2,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,4,6,1,7,2,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 4
[3,4,6,1,7,5,2] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 4
[3,4,6,2,1,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,4,6,2,5,1,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 4
[3,4,6,2,7,5,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 4
[3,4,6,5,1,2,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,4,6,5,2,1,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
[3,4,6,5,7,1,2] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 4
[3,4,6,5,7,2,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 4
[3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,6,7,1,5,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,6,7,2,1,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,6,7,2,5,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,6,7,5,1,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,6,7,5,2,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,1,2,6,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,1,5,2,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,1,5,6,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,1,6,2,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,1,6,5,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,2,1,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,2,1,6,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,2,5,1,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,2,5,6,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,2,6,1,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,2,6,5,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,5,1,2,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,5,1,6,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,5,2,1,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,5,2,6,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,5,6,1,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,5,6,2,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,6,1,2,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,6,1,5,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,6,2,1,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,6,2,5,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,6,5,1,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,4,7,6,5,2,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,1,2,4,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[3,5,1,4,2,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[3,5,1,6,2,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 4
[3,5,1,6,4,2,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 4
[3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,1,7,2,6,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,1,7,4,2,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,1,7,4,6,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,1,7,6,2,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,1,7,6,4,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,2,1,4,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[3,5,2,4,1,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 4
[3,5,2,6,4,1,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 4
[3,5,2,7,1,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,2,7,1,6,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,2,7,4,1,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,2,7,4,6,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,2,7,6,1,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,2,7,6,4,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,4,1,2,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[3,5,4,2,1,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
[3,5,4,6,1,2,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 4
[3,5,4,6,2,1,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 4
[3,5,4,7,1,2,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,4,7,1,6,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,4,7,2,1,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,4,7,2,6,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,4,7,6,1,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,4,7,6,2,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 4
[3,5,6,1,4,2,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 4
[3,5,6,2,1,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 4
[3,5,6,2,4,1,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 4
[3,5,6,4,1,2,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 4
[3,5,6,4,2,1,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 4
[3,5,6,7,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,6,7,1,4,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,6,7,2,1,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,6,7,2,4,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,6,7,4,1,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,6,7,4,2,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,1,2,6,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,1,4,2,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,1,4,6,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,1,6,2,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,1,6,4,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,2,1,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,2,1,6,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,2,4,1,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,2,4,6,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,2,6,1,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,2,6,4,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,4,1,2,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,4,1,6,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,4,2,1,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,4,2,6,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,4,6,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,4,6,2,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,6,1,2,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,6,1,4,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,6,2,1,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,6,2,4,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,6,4,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,5,7,6,4,2,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[3,6,1,2,4,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,1,2,4,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,1,2,5,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,1,2,5,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,1,2,7,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,1,2,7,5,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,1,4,2,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,1,4,2,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,1,4,5,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,1,4,5,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,1,4,7,2,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,1,4,7,5,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,1,5,2,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,1,5,2,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,1,5,4,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,1,5,4,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,1,5,7,2,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,1,5,7,4,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,1,7,2,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,1,7,2,5,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,1,7,4,2,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,1,7,4,5,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,1,7,5,2,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,1,7,5,4,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,2,1,4,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,2,1,4,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,2,1,5,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,2,1,5,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,2,1,7,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,2,1,7,5,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,2,4,1,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,2,4,1,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,2,4,5,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,2,4,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,2,4,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,2,4,7,5,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,2,5,1,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,2,5,1,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,2,5,4,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,2,5,4,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,2,5,7,1,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,2,5,7,4,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,2,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,2,7,1,5,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,2,7,4,1,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,2,7,4,5,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,2,7,5,1,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,2,7,5,4,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,4,1,2,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,4,1,2,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,4,1,5,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,4,1,5,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,4,1,7,2,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,4,1,7,5,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,4,2,1,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,4,2,1,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,4,2,5,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,4,2,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,4,2,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,4,2,7,5,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,4,5,1,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,4,5,1,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,4,5,2,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,4,5,2,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,4,5,7,1,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,4,5,7,2,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,4,7,1,2,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,4,7,1,5,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,4,7,2,1,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,4,7,2,5,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,4,7,5,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,4,7,5,2,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,5,1,2,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,5,1,2,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,5,1,4,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,5,1,4,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,5,1,7,2,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,5,1,7,4,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,5,2,1,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,5,2,1,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,5,2,4,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,5,2,4,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,5,2,7,1,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,5,2,7,4,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,5,4,1,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,5,4,1,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,5,4,2,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 5
[3,6,5,4,2,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 5
[3,6,5,4,7,1,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,5,4,7,2,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 5
[3,6,5,7,1,2,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,5,7,1,4,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,5,7,2,1,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,5,7,2,4,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,5,7,4,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,5,7,4,2,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,1,2,5,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,1,4,2,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,1,4,5,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,1,5,2,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,1,5,4,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,2,1,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,2,1,5,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,2,4,1,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,2,4,5,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,2,5,1,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,2,5,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,4,1,2,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,4,1,5,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,4,2,1,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,4,2,5,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,4,5,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,4,5,2,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,5,1,2,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,5,1,4,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,5,2,1,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,5,2,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,5,4,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,6,7,5,4,2,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 5
[3,7,1,2,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,2,4,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,2,5,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,2,5,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,2,6,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,2,6,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,4,2,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,4,2,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,4,5,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,4,5,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,4,6,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,4,6,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,5,2,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,5,2,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,5,4,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,5,4,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,5,6,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,5,6,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,6,2,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,6,2,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,6,4,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,6,4,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,6,5,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,1,6,5,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,1,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,1,4,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,1,5,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,1,5,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,1,6,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,1,6,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,4,1,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,4,1,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,4,5,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,4,5,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,4,6,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,4,6,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,5,1,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,5,1,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,5,4,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,5,4,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,5,6,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,5,6,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,6,1,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,6,1,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,6,4,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,6,4,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,6,5,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,2,6,5,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,1,2,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,1,2,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,1,5,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,1,5,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,1,6,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,1,6,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,2,1,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,2,1,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,2,5,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,2,5,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,2,6,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,2,6,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,5,1,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,5,1,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,5,2,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,5,2,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,5,6,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,5,6,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,6,1,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,6,1,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,6,2,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,6,2,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,6,5,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,4,6,5,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,1,2,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,1,2,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,1,4,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,1,4,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,1,6,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,1,6,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,2,1,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,2,1,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,2,4,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,2,4,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,2,6,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,2,6,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,4,1,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,4,1,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,4,2,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,4,2,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,4,6,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,4,6,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,6,1,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,6,1,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,6,2,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,6,2,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,6,4,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,5,6,4,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,1,2,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,1,2,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,1,4,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,1,4,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,1,5,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,1,5,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,2,1,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,2,1,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,2,4,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,2,4,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,2,5,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,2,5,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,4,1,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,4,1,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,4,2,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,4,2,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,4,5,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,4,5,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,5,1,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,5,1,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,5,2,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,5,2,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,5,4,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[3,7,6,5,4,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(3,6),(4,6),(5,6)],7) => 6
[4,1,2,3,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4
[4,1,2,3,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4
[4,1,2,3,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,1,2,3,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,1,2,5,3,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4
[4,1,2,5,3,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4
[4,1,2,5,6,3,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4
[4,1,2,6,3,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,1,2,6,5,3,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,1,3,2,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4
[4,1,3,2,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4
[4,1,3,2,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,1,3,2,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,1,3,5,2,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4
[4,1,3,5,2,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4
[4,1,3,5,6,2,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4
[4,1,3,6,2,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,1,3,6,5,2,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,1,5,2,3,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4
[4,1,5,2,6,3,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4
[4,1,5,3,2,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4
[4,1,5,3,6,2,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4
[4,1,5,6,2,3,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4
[4,1,5,6,3,2,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4
[4,1,6,2,3,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,1,6,2,5,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,1,6,2,7,3,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,1,6,2,7,5,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,1,6,3,2,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,1,6,3,5,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,1,6,3,7,2,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,1,6,3,7,5,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,1,6,5,2,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,1,6,5,3,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,1,6,5,7,2,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,1,6,5,7,3,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,1,6,7,2,3,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,1,6,7,2,5,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,1,6,7,3,2,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,1,6,7,3,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,1,6,7,5,2,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,1,6,7,5,3,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,1,7,2,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,2,3,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,2,5,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,2,5,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,2,6,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,2,6,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,3,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,3,2,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,3,5,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,3,5,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,3,6,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,3,6,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,5,2,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,5,2,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,5,3,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,5,3,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,5,6,2,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,5,6,3,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,6,2,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,6,2,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,6,3,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,6,3,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,6,5,2,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,1,7,6,5,3,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,1,3,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4
[4,2,1,3,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4
[4,2,1,3,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,2,1,3,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,2,1,5,3,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4
[4,2,1,5,3,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4
[4,2,1,5,6,3,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4
[4,2,1,6,3,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,2,1,6,5,3,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,2,3,1,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4
[4,2,3,1,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4
[4,2,3,1,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,2,3,1,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,2,3,5,1,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4
[4,2,3,5,1,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4
[4,2,3,5,6,1,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4
[4,2,3,6,1,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,2,3,6,5,1,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,2,5,1,3,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4
[4,2,5,1,6,3,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4
[4,2,5,3,1,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4
[4,2,5,3,6,1,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4
[4,2,5,6,1,3,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4
[4,2,5,6,3,1,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4
[4,2,6,1,3,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,2,6,1,5,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,2,6,1,7,3,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,2,6,1,7,5,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,2,6,3,1,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,2,6,3,5,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,2,6,3,7,1,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,2,6,3,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,2,6,5,1,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,2,6,5,3,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,2,6,5,7,1,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,2,6,5,7,3,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,2,6,7,1,3,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,2,6,7,1,5,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,2,6,7,3,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,2,6,7,3,5,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,2,6,7,5,1,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,2,6,7,5,3,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,2,7,1,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,1,3,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,1,5,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,1,5,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,1,6,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,1,6,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,3,1,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,3,1,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,3,5,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,3,5,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,3,6,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,3,6,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,5,1,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,5,1,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,5,3,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,5,3,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,5,6,1,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,5,6,3,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,6,1,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,6,1,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,6,3,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,6,3,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,6,5,1,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,2,7,6,5,3,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,1,2,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4
[4,3,1,2,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4
[4,3,1,2,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,3,1,2,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,3,1,5,2,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4
[4,3,1,5,2,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4
[4,3,1,5,6,2,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4
[4,3,1,6,2,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,3,1,6,5,2,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,3,2,1,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4
[4,3,2,1,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 4
[4,3,2,1,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,3,2,1,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,3,2,5,1,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 4
[4,3,2,5,1,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 4
[4,3,2,5,6,1,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4
[4,3,2,6,1,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,3,2,6,5,1,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,3,5,1,2,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4
[4,3,5,1,6,2,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4
[4,3,5,2,1,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 4
[4,3,5,2,6,1,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4
[4,3,5,6,1,2,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4
[4,3,5,6,2,1,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4
[4,3,6,1,2,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,3,6,1,5,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,3,6,1,7,2,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,3,6,1,7,5,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,3,6,2,1,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,3,6,2,5,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,3,6,2,7,1,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,3,6,5,1,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,3,6,5,2,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
[4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,3,6,5,7,2,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 4
[4,3,6,7,1,2,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,3,6,7,2,5,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,3,6,7,5,1,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,3,6,7,5,2,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,3,7,1,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,1,2,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,1,5,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,1,5,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,1,6,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,1,6,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,2,1,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,2,1,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,2,5,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,2,5,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,2,6,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,2,6,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,5,1,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,5,1,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,5,2,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,5,2,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,5,6,1,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,5,6,2,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,6,1,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,6,1,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,6,2,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,6,2,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,6,5,1,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,3,7,6,5,2,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,1,2,3,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4
[4,5,1,2,6,3,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4
[4,5,1,3,2,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4
[4,5,1,3,6,2,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4
[4,5,1,6,2,3,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4
[4,5,1,6,3,2,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4
[4,5,1,7,2,3,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,1,7,2,6,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,1,7,3,2,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,1,7,3,6,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,1,7,6,2,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,1,7,6,3,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,2,1,3,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4
[4,5,2,1,6,3,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4
[4,5,2,3,1,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4
[4,5,2,3,6,1,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4
[4,5,2,6,1,3,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4
[4,5,2,6,3,1,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4
[4,5,2,7,1,3,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,2,7,1,6,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,2,7,3,1,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,2,7,6,3,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,3,1,2,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4
[4,5,3,1,6,2,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4
[4,5,3,2,1,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4
[4,5,3,2,6,1,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4
[4,5,3,6,1,2,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4
[4,5,3,6,2,1,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4
[4,5,3,7,1,2,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,3,7,1,6,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,3,7,2,1,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,3,7,2,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,3,7,6,1,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,3,7,6,2,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
[4,5,6,1,2,3,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4
[4,5,6,1,3,2,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4
[4,5,6,2,1,3,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4
[4,5,6,2,3,1,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4
[4,5,6,3,1,2,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4
[4,5,6,3,2,1,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 4
[4,5,7,1,2,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,1,2,6,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,1,3,2,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,1,3,6,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,1,6,2,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,1,6,3,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,2,1,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,2,1,6,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,2,3,1,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,2,3,6,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,2,6,1,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,2,6,3,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,3,1,2,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,3,1,6,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,3,2,1,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,3,2,6,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,3,6,1,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,3,6,2,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,6,1,2,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,6,1,3,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,6,2,1,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,6,2,3,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,6,3,1,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,5,7,6,3,2,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
[4,6,1,2,3,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,1,2,3,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,1,2,5,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,1,2,5,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,1,2,7,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,1,2,7,5,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,1,3,2,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,1,3,2,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,1,3,5,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,1,3,5,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,1,3,7,2,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,1,3,7,5,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,1,5,2,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,1,5,2,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,1,5,3,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,1,5,3,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,1,5,7,2,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,1,5,7,3,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,1,7,2,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,1,7,2,5,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,1,7,3,2,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,1,7,3,5,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,1,7,5,2,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,1,7,5,3,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,2,1,3,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,2,1,3,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,2,1,5,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,2,1,5,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,2,1,7,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,2,1,7,5,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,2,3,1,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,2,3,1,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,2,3,5,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,2,3,5,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,2,3,7,1,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,2,3,7,5,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,2,5,1,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,2,5,1,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,2,5,3,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,2,5,3,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,2,5,7,1,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,2,5,7,3,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,2,7,1,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,2,7,1,5,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,2,7,3,1,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,2,7,3,5,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,2,7,5,1,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,2,7,5,3,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,3,1,2,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,3,1,2,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,3,1,5,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,3,1,5,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,3,1,7,2,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,3,1,7,5,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,3,2,1,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,3,2,1,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,3,2,5,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,3,2,5,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,3,2,7,1,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,3,2,7,5,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,3,5,1,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,3,5,1,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,3,5,2,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,3,5,2,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,3,5,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,3,5,7,2,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,3,7,1,2,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,3,7,1,5,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,3,7,2,1,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,3,7,2,5,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,3,7,5,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,3,7,5,2,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,5,1,2,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,5,1,2,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,5,1,3,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,5,1,3,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,5,1,7,2,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,5,1,7,3,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,5,2,1,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,5,2,1,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,5,2,3,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,5,2,3,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,5,2,7,1,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,5,2,7,3,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,5,3,1,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,5,3,1,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,5,3,2,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 5
[4,6,5,3,2,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 5
[4,6,5,3,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,5,3,7,2,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[4,6,5,7,1,2,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,5,7,1,3,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,5,7,2,1,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,5,7,2,3,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,5,7,3,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,5,7,3,2,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 5
[4,6,7,1,2,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,1,2,5,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,1,3,2,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,1,3,5,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,1,5,2,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,1,5,3,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,2,1,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,2,1,5,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,2,3,1,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,2,3,5,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,2,5,1,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,2,5,3,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,3,1,2,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,3,1,5,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,3,2,1,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,3,2,5,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,3,5,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,3,5,2,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,5,1,2,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,5,1,3,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,5,2,1,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,5,2,3,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,5,3,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,6,7,5,3,2,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => ([(2,6),(3,6),(4,5),(4,6)],7) => 5
[4,7,1,2,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,2,3,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,2,5,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,2,5,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,2,6,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,2,6,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,3,2,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,3,2,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,3,5,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,3,5,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,3,6,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,3,6,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,5,2,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,5,2,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,5,3,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,5,3,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,5,6,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,5,6,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,6,2,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,6,2,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,6,3,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,6,3,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,6,5,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,1,6,5,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,1,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,1,3,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,1,5,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,1,5,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,1,6,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,1,6,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,3,1,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,3,1,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,3,5,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,3,5,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,3,6,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,3,6,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,5,1,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,5,1,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,5,3,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,5,3,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,5,6,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,5,6,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,6,1,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,6,1,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,6,3,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,6,3,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,6,5,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,2,6,5,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,1,2,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,1,2,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,1,5,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,1,5,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,1,6,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,1,6,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,2,1,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,2,1,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,2,5,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,2,5,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,2,6,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,2,6,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,5,1,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,5,1,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,5,2,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,5,2,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,5,6,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,5,6,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,6,1,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,6,1,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,6,2,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,6,2,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,6,5,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,3,6,5,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,1,2,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,1,2,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,1,3,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,1,3,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,1,6,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,1,6,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,2,1,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,2,1,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,2,3,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,2,3,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,2,6,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,2,6,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,3,1,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,3,1,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,3,2,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,3,2,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,3,6,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,3,6,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,6,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,6,1,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,6,2,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,6,2,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,6,3,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,5,6,3,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,1,2,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,1,2,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,1,3,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,1,3,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,1,5,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,1,5,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,2,1,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,2,1,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,2,3,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,2,3,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,2,5,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,2,5,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,3,1,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,3,1,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,3,2,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,3,2,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,3,5,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,3,5,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,5,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,5,1,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,5,2,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,5,2,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,5,3,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[4,7,6,5,3,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => ([(3,6),(4,6),(5,6)],7) => 6
[5,1,2,3,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,1,2,3,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,1,2,4,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,1,2,4,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,1,2,6,3,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,1,2,6,4,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,1,3,2,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,1,3,2,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,1,3,4,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,1,3,4,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,1,3,6,2,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,1,3,6,4,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,1,4,2,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,1,4,2,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,1,4,3,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,1,4,3,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,1,4,6,2,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,1,4,6,3,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,1,6,2,3,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,1,6,2,4,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,1,6,3,2,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,1,6,3,4,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,1,6,4,2,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,1,6,4,3,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,1,7,2,3,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,2,3,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,2,4,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,2,4,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,2,6,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,2,6,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,3,2,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,3,2,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,3,4,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,3,4,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,3,6,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,3,6,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,4,2,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,4,2,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,4,3,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,4,3,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,4,6,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,4,6,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,6,2,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,6,2,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,6,3,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,6,3,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,6,4,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,1,7,6,4,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,1,3,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,2,1,3,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,2,1,4,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,2,1,4,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,2,1,6,3,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,2,1,6,4,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,2,3,1,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,2,3,1,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,2,3,4,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,2,3,4,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,2,3,6,1,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,2,3,6,4,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,2,4,1,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,2,4,1,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,2,4,3,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,2,4,3,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,2,4,6,1,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,2,4,6,3,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,2,6,1,3,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,2,6,1,4,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,2,6,3,1,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,2,6,3,4,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,2,6,4,1,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,2,6,4,3,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,2,7,1,3,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,1,3,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,1,4,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,1,4,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,1,6,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,1,6,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,3,1,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,3,1,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,3,4,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,3,4,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,3,6,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,3,6,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,4,1,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,4,1,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,4,3,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,4,3,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,4,6,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,4,6,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,6,1,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,6,1,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,6,3,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,6,3,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,6,4,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,2,7,6,4,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,1,2,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,3,1,2,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,3,1,4,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,3,1,4,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,3,1,6,2,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,3,1,6,4,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,3,2,1,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,3,2,1,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,3,2,4,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,3,2,4,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,3,2,6,1,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,3,2,6,4,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,3,4,1,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,3,4,1,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,3,4,2,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,3,4,2,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,3,4,6,1,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,3,4,6,2,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,3,6,1,2,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,3,6,1,4,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,3,6,2,1,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,3,6,2,4,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,3,6,4,1,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,3,6,4,2,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,3,7,1,2,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,1,2,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,1,4,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,1,4,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,1,6,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,1,6,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,2,1,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,2,1,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,2,4,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,2,4,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,2,6,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,2,6,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,4,1,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,4,1,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,4,2,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,4,2,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,4,6,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,4,6,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,6,1,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,6,1,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,6,2,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,6,2,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,6,4,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,3,7,6,4,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,1,2,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,4,1,2,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,4,1,3,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,4,1,3,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,4,1,6,2,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,4,1,6,3,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,4,2,1,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,4,2,1,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,4,2,3,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,4,2,3,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,4,2,6,1,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,4,2,6,3,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,4,3,1,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,4,3,1,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,4,3,2,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 5
[5,4,3,2,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 5
[5,4,3,6,1,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,4,3,6,2,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 5
[5,4,6,1,2,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,4,6,1,3,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,4,6,2,1,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,4,6,2,3,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,4,6,3,1,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,4,6,3,2,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 5
[5,4,7,1,2,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,1,2,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,1,3,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,1,3,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,1,6,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,1,6,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,2,1,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,2,1,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,2,3,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,2,3,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,2,6,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,2,6,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,3,1,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,3,1,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,3,2,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,3,2,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,3,6,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,3,6,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,6,1,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,6,1,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,6,2,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,6,2,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,6,3,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,4,7,6,3,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => ([(3,5),(3,6),(4,5),(4,6)],7) => 5
[5,6,1,2,3,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,1,2,3,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,1,2,4,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,1,2,4,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,1,2,7,3,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,1,2,7,4,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,1,3,2,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,1,3,2,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,1,3,4,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,1,3,4,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,1,3,7,2,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,1,3,7,4,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,1,4,2,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,1,4,2,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,1,4,3,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,1,4,3,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,1,4,7,2,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,1,4,7,3,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,1,7,2,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,1,7,2,4,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,1,7,3,2,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,1,7,3,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,1,7,4,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,1,7,4,3,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,2,1,3,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,2,1,3,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,2,1,4,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,2,1,4,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,2,1,7,3,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,2,1,7,4,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,2,3,1,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,2,3,1,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,2,3,4,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,2,3,4,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,2,3,7,1,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,2,3,7,4,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,2,4,1,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,2,4,1,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,2,4,3,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,2,4,3,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,2,4,7,1,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,2,4,7,3,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,2,7,1,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,2,7,1,4,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,2,7,3,1,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,2,7,3,4,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,2,7,4,1,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,2,7,4,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,3,1,2,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,3,1,2,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,3,1,4,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,3,1,4,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,3,1,7,2,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,3,1,7,4,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,3,2,1,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,3,2,1,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,3,2,4,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,3,2,4,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,3,2,7,1,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,3,2,7,4,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,3,4,1,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,3,4,1,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,3,4,2,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,3,4,2,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,3,4,7,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,3,4,7,2,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,3,7,1,2,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,3,7,1,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,3,7,2,1,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,3,7,2,4,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,3,7,4,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,3,7,4,2,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,4,1,2,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,4,1,2,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,4,1,3,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,4,1,3,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,4,1,7,2,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,4,1,7,3,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,4,2,1,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,4,2,1,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,4,2,3,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,4,2,3,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,4,2,7,1,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,4,2,7,3,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,4,3,1,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,4,3,1,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,4,3,2,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 5
[5,6,4,3,2,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 5
[5,6,4,3,7,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,4,3,7,2,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 5
[5,6,4,7,1,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,4,7,1,3,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,4,7,2,1,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,4,7,2,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,4,7,3,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,4,7,3,2,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => ([(2,6),(3,4),(3,5),(3,6)],7) => 5
[5,6,7,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,1,2,4,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,1,3,2,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,1,3,4,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,1,4,2,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,1,4,3,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,2,1,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,2,1,4,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,2,3,1,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,2,3,4,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,2,4,1,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,2,4,3,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,3,1,2,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,3,1,4,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,3,2,1,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,3,2,4,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,3,4,1,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,3,4,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,4,1,2,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,4,1,3,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,4,2,1,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,4,2,3,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,4,3,1,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,6,7,4,3,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => ([(3,6),(4,5),(4,6)],7) => 5
[5,7,1,2,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,2,3,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,2,4,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,2,4,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,2,6,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,2,6,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,3,2,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,3,2,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,3,4,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,3,4,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,3,6,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,3,6,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,4,2,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,4,2,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,4,3,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,4,3,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,4,6,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,4,6,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,6,2,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,6,2,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,6,3,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,6,3,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,6,4,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,1,6,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,1,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,1,3,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,1,4,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,1,4,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,1,6,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,1,6,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,3,1,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,3,1,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,3,4,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,3,4,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,3,6,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,3,6,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,4,1,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,4,1,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,4,3,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,4,3,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,4,6,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,4,6,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,6,1,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,6,1,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,6,3,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,6,3,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,6,4,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,2,6,4,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,1,2,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,1,2,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,1,4,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,1,4,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,1,6,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,1,6,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,2,1,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,2,1,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,2,4,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,2,4,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,2,6,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,2,6,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,4,1,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,4,1,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,4,2,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,4,2,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,4,6,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,4,6,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,6,1,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,6,1,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,6,2,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,6,2,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,6,4,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,3,6,4,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,1,2,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,1,2,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,1,3,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,1,3,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,1,6,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,1,6,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,2,1,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,2,1,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,2,3,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,2,3,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,2,6,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,2,6,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,3,1,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,3,1,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,3,2,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,3,2,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,3,6,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,3,6,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,6,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,6,1,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,6,2,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,6,2,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,6,3,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,4,6,3,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,1,2,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,1,2,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,1,3,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,1,3,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,1,4,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,1,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,2,1,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,2,1,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,2,3,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,2,3,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,2,4,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,2,4,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,3,1,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,3,1,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,3,2,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,3,2,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,3,4,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,3,4,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,4,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,4,1,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,4,2,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,4,2,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,4,3,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[5,7,6,4,3,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => ([(4,6),(5,6)],7) => 6
[6,1,2,3,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,2,3,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,2,3,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,2,3,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,2,3,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,2,3,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,2,4,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,2,4,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,2,4,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,2,4,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,2,4,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,2,4,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,2,5,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,2,5,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,2,5,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,2,5,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,2,5,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,2,5,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,2,7,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,2,7,3,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,2,7,4,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,2,7,4,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,2,7,5,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,2,7,5,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,3,2,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,3,2,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,3,2,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,3,2,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,3,2,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,3,2,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,3,4,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,3,4,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,3,4,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,3,4,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,3,4,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,3,4,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,3,5,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,3,5,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,3,5,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,3,5,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,3,5,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,3,5,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,3,7,2,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,3,7,2,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,3,7,4,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,3,7,4,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,3,7,5,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,3,7,5,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,4,2,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,4,2,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,4,2,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,4,2,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,4,2,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,4,2,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,4,3,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,4,3,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,4,3,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,4,3,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,4,3,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,4,3,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,4,5,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,4,5,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,4,5,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,4,5,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,4,5,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,4,5,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,4,7,2,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,4,7,2,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,4,7,3,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,4,7,3,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,4,7,5,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,4,7,5,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,5,2,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,5,2,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,5,2,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,5,2,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,5,2,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,5,2,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,5,3,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,5,3,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,5,3,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,5,3,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,5,3,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,5,3,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,5,4,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,5,4,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,5,4,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,1,5,4,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,1,5,4,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,5,4,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,1,5,7,2,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,5,7,2,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,5,7,3,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,5,7,3,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,5,7,4,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,5,7,4,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,1,7,2,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,2,3,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,2,4,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,2,4,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,2,5,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,2,5,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,3,2,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,3,2,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,3,4,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,3,4,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,3,5,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,3,5,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,4,2,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,4,2,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,4,3,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,4,3,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,4,5,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,4,5,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,5,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,5,2,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,5,3,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,5,3,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,5,4,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,1,7,5,4,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,1,3,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,1,3,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,1,3,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,1,3,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,1,3,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,1,3,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,1,4,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,1,4,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,1,4,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,1,4,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,1,4,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,1,4,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,1,5,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,1,5,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,1,5,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,1,5,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,1,5,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,1,5,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,1,7,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,1,7,3,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,1,7,4,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,1,7,4,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,1,7,5,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,1,7,5,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,3,1,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,3,1,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,3,1,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,3,1,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,3,1,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,3,1,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,3,4,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,3,4,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,3,4,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,3,4,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,3,4,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,3,4,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,3,5,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,3,5,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,3,5,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,3,5,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,3,5,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,3,5,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,3,7,1,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,3,7,1,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,3,7,4,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,3,7,4,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,3,7,5,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,3,7,5,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,4,1,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,4,1,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,4,1,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,4,1,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,4,1,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,4,1,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,4,3,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,4,3,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,4,3,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,4,3,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,4,3,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,4,3,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,4,5,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,4,5,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,4,5,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,4,5,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,4,5,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,4,5,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,4,7,1,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,4,7,1,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,4,7,3,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,4,7,3,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,4,7,5,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,4,7,5,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,5,1,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,5,1,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,5,1,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,5,1,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,5,1,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,5,1,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,5,3,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,5,3,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,5,3,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,5,3,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,5,3,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,5,3,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,5,4,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,5,4,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,5,4,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,2,5,4,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,2,5,4,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,5,4,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,2,5,7,1,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,5,7,1,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,5,7,3,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,5,7,3,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,5,7,4,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,5,7,4,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,2,7,1,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,1,3,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,1,4,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,1,4,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,1,5,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,1,5,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,3,1,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,3,1,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,3,4,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,3,4,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,3,5,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,3,5,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,4,1,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,4,1,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,4,3,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,4,3,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,4,5,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,4,5,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,5,1,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,5,1,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,5,3,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,5,3,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,5,4,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,2,7,5,4,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,1,2,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,1,2,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,1,2,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,1,2,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,1,2,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,1,2,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,1,4,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,1,4,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,1,4,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,1,4,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,1,4,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,1,4,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,1,5,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,1,5,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,1,5,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,1,5,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,1,5,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,1,5,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,1,7,2,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,1,7,2,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,1,7,4,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,1,7,4,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,1,7,5,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,1,7,5,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,2,1,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,2,1,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,2,1,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,2,1,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,2,1,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,2,1,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,2,4,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,2,4,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,2,4,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,2,4,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,2,4,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,2,4,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,2,5,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,2,5,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,2,5,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,2,5,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,2,5,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,2,5,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,2,7,1,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,2,7,1,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,2,7,4,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,2,7,4,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,2,7,5,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,2,7,5,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,4,1,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,4,1,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,4,1,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,4,1,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,4,1,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,4,1,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,4,2,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,4,2,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,4,2,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,4,2,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,4,2,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,4,2,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,4,5,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,4,5,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,4,5,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,4,5,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,4,5,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,4,5,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,4,7,1,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,4,7,1,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,4,7,2,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,4,7,2,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,4,7,5,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,4,7,5,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,5,1,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,5,1,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,5,1,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,5,1,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,5,1,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,5,1,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,5,2,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,5,2,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,5,2,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,5,2,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,5,2,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,5,2,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,5,4,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,5,4,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,5,4,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,3,5,4,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,3,5,4,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,5,4,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,3,5,7,1,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,5,7,1,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,5,7,2,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,5,7,2,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,5,7,4,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,5,7,4,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,3,7,1,2,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,1,2,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,1,4,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,1,4,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,1,5,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,1,5,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,2,1,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,2,1,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,2,4,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,2,4,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,2,5,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,2,5,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,4,1,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,4,1,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,4,2,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,4,2,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,4,5,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,4,5,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,5,1,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,5,1,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,5,2,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,5,2,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,5,4,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,3,7,5,4,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,1,2,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,1,2,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,1,2,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,1,2,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,1,2,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,1,2,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,1,3,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,1,3,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,1,3,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,1,3,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,1,3,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,1,3,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,1,5,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,1,5,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,1,5,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,1,5,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,1,5,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,1,5,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,1,7,2,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,1,7,2,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,1,7,3,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,1,7,3,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,1,7,5,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,1,7,5,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,2,1,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,2,1,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,2,1,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,2,1,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,2,1,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,2,1,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,2,3,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,2,3,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,2,3,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,2,3,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,2,3,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,2,3,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,2,5,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,2,5,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,2,5,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,2,5,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,2,5,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,2,5,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,2,7,1,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,2,7,1,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,2,7,3,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,2,7,3,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,2,7,5,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,2,7,5,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,3,1,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,3,1,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,3,1,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,3,1,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,3,1,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,3,1,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,3,2,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,3,2,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,3,2,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,3,2,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,3,2,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,3,2,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,3,5,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,3,5,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,3,5,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,3,5,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,3,5,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,3,5,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,3,7,1,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,3,7,1,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,3,7,2,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,3,7,2,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,3,7,5,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,3,7,5,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,5,1,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,5,1,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,5,1,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,5,1,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,5,1,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,5,1,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,5,2,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,5,2,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,5,2,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,5,2,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,5,2,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,5,2,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,5,3,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,5,3,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,5,3,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,4,5,3,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,4,5,3,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,5,3,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,4,5,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,5,7,1,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,5,7,2,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,5,7,2,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,5,7,3,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,5,7,3,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,4,7,1,2,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,1,2,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,1,3,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,1,3,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,1,5,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,1,5,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,2,1,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,2,1,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,2,3,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,2,3,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,2,5,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,2,5,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,3,1,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,3,1,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,3,2,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,3,2,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,3,5,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,3,5,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,5,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,5,1,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,5,2,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,5,2,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,5,3,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,4,7,5,3,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,1,2,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,1,2,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,1,2,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,1,2,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,1,2,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,1,2,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,1,3,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,1,3,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,1,3,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,1,3,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,1,3,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,1,3,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,1,4,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,1,4,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,1,4,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,1,4,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,1,4,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,1,4,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,1,7,2,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,1,7,2,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,1,7,3,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,1,7,3,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,1,7,4,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,1,7,4,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,2,1,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,2,1,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,2,1,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,2,1,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,2,1,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,2,1,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,2,3,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,2,3,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,2,3,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,2,3,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,2,3,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,2,3,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,2,4,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,2,4,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,2,4,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,2,4,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,2,4,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,2,4,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,2,7,1,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,2,7,1,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,2,7,3,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,2,7,3,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,2,7,4,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,2,7,4,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,3,1,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,3,1,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,3,1,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,3,1,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,3,1,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,3,1,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,3,2,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,3,2,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,3,2,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,3,2,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,3,2,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,3,2,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,3,4,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,3,4,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,3,4,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,3,4,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,3,4,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,3,4,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,3,7,1,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,3,7,1,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,3,7,2,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,3,7,2,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,3,7,4,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,3,7,4,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,4,1,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,4,1,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,4,1,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,4,1,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,4,1,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,4,1,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,4,2,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,4,2,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,4,2,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,4,2,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,4,2,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,4,2,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,4,3,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,4,3,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,4,3,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 6
[6,5,4,3,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6
[6,5,4,3,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,4,3,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => ([(2,3),(2,4),(2,5),(2,6)],7) => 6
[6,5,4,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,4,7,1,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,4,7,2,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,4,7,2,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,4,7,3,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,4,7,3,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => ([(3,4),(3,5),(3,6)],7) => 6
[6,5,7,1,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,1,2,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,1,3,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,1,3,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,1,4,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,1,4,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,2,1,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,2,1,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,2,3,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,2,3,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,2,4,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,2,4,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,3,1,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,3,1,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,3,2,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,3,2,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,3,4,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,3,4,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,4,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,4,1,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,4,2,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,4,2,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,4,3,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,5,7,4,3,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => ([(4,5),(4,6)],7) => 6
[6,7,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,2,3,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,2,4,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,2,4,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,2,5,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,2,5,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,3,2,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,3,2,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,3,4,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,3,4,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,3,5,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,3,5,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,4,2,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,4,2,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,4,3,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,4,3,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,4,5,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,4,5,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,5,2,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,5,2,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,5,3,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,5,3,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,5,4,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,1,5,4,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,1,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,1,3,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,1,4,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,1,4,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,1,5,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,1,5,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,3,1,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,3,1,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,3,4,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,3,4,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,3,5,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,3,5,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,4,1,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,4,1,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,4,3,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,4,3,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,4,5,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,4,5,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,5,1,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,5,1,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,5,3,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,5,3,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,5,4,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,2,5,4,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,1,2,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,1,2,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,1,4,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,1,4,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,1,5,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,1,5,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,2,1,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,2,1,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,2,4,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,2,4,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,2,5,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,2,5,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,4,1,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,4,1,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,4,2,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,4,2,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,4,5,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,4,5,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,5,1,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,5,1,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,5,2,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,5,2,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,5,4,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,3,5,4,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,1,2,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,1,2,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,1,3,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,1,3,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,1,5,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,1,5,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,2,1,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,2,1,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,2,3,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,2,3,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,2,5,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,2,5,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,3,1,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,3,1,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,3,2,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,3,2,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,3,5,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,3,5,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,5,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,5,1,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,5,2,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,5,2,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,5,3,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,4,5,3,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,1,2,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,1,2,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,1,3,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,1,3,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,1,4,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,1,4,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,2,1,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,2,1,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,2,3,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,2,3,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,2,4,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,2,4,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,3,1,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,3,1,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,3,2,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,3,2,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,3,4,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,3,4,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,4,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,4,1,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,4,2,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,4,2,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,4,3,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[6,7,5,4,3,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => ([(5,6)],7) => 6
[7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,3,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,3,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,4,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,4,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,5,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,5,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,5,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,5,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,6,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,6,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,6,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,6,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,6,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,2,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,2,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,2,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,2,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,4,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,4,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,4,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,5,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,5,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,5,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,5,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,6,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,6,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,6,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,6,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,2,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,2,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,2,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,3,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,3,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,3,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,3,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,5,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,5,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,5,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,5,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,5,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,6,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,6,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,2,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,2,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,2,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,2,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,2,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,3,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,3,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,3,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,3,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,3,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,4,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,4,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,4,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,4,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,4,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,4,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,6,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,6,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,6,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,6,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,6,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,2,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,2,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,3,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,3,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,4,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,4,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,4,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,4,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,5,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,5,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,5,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,5,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,5,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,3,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,3,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,4,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,4,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,5,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,5,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,5,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,5,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,6,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,6,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,6,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,6,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,6,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,1,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,1,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,1,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,1,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,1,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,4,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,4,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,4,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,5,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,5,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,5,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,5,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,6,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,6,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,6,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,6,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,1,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,1,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,1,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,1,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,1,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,3,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,3,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,3,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,3,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,3,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,5,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,5,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,5,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,5,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,6,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,6,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,1,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,1,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,1,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,1,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,3,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,3,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,3,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,3,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,3,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,4,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,4,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,4,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,4,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,4,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,4,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,6,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,6,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,6,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,1,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,1,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,1,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,1,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,3,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,3,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,3,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,4,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,4,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,4,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,5,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,5,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,5,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,5,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,2,6,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,2,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,2,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,2,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,2,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,4,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,4,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,4,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,5,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,5,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,5,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,5,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,6,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,6,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,6,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,6,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,1,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,1,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,1,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,1,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,1,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,4,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,4,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,4,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,5,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,5,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,5,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,5,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,6,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,6,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,6,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,6,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,2,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,1,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,1,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,1,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,1,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,2,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,2,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,2,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,2,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,5,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,5,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,5,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,5,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,1,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,1,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,1,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,1,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,1,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,1,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,2,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,2,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,2,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,2,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,2,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,2,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,4,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,4,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,4,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,4,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,4,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,4,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,1,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,1,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,1,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,2,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,2,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,2,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,4,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,4,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,4,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,4,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,2,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,2,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,2,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,3,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,3,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,3,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,3,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,5,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,5,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,5,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,5,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,5,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,6,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,6,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,1,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,1,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,1,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,1,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,1,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,1,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,3,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,3,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,3,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,3,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,3,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,5,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,5,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,5,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,5,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,6,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,6,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,2,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,1,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,1,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,1,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,1,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,2,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,2,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,2,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,2,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,5,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,5,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,5,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,5,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,3,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,1,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,1,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,1,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,1,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,1,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,1,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,2,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,2,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,2,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,2,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,2,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,2,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,3,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,3,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,3,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,3,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,3,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,3,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,6,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,1,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,2,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,2,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,5,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,2,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,2,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,2,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,2,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,2,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,3,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,3,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,3,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,3,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,3,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,4,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,4,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,4,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,4,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,4,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,4,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,6,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,6,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,6,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,6,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,6,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,1,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,1,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,1,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,1,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,1,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,3,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,3,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,3,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,3,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,3,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,4,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,4,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,4,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,4,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,4,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,4,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,6,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,6,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,6,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,2,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,1,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,1,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,1,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,1,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,1,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,1,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,2,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,2,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,2,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,2,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,2,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,2,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,4,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,4,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,4,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,4,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,4,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,4,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,3,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,1,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,1,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,1,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,1,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,1,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,1,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,2,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,2,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,2,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,2,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,2,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,2,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,3,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,3,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,3,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,3,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,3,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,6,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,4,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,1,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,1,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,2,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,2,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,3,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,3,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,3,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,3,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,4,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,2,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,2,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,3,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,3,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,4,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,4,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,4,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,4,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,5,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,5,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,5,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,5,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,5,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,1,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,1,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,1,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,1,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,3,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,3,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,3,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,4,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,4,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,4,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,5,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,5,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,5,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,5,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,1,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,1,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,1,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,2,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,2,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,2,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,4,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,4,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,4,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,4,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,1,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,2,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,2,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,5,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,1,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,1,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,2,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,2,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,3,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,3,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,3,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => ([],7) => 7
[8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,6,7,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,3,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,3,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,6,3,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,5,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,6,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,3,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,5,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,2,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,6,3,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,3,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,4,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,6,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,6,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,5,6,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,6,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,2,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,2,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,2,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,2,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,3,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,4,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,4,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,2,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,2,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,5,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,6,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,6,7,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,3,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,6,3,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,5,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,6,7,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,4,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,6,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,3,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,3,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,3,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,3,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,3,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,4,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,2,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,2,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,3,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,3,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,4,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,2,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,2,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,2,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,4,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,3,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,5,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,1,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,6,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,6,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,3,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,6,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,5,6,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,6,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,2,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,2,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,6,2,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,2,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,3,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,3,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,2,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,5,2,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,3,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,2,3,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,4,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,4,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,2,5,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,5,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,5,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,3,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,3,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,3,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,4,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,4,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,5,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,2,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,2,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,6,2,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,6,1,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,3,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,3,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,3,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,3,1,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,1,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,4,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,3,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,1,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,4,1,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,5,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,2,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,4,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,5,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,5,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,4,1,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,1,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,1,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,1,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,2,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,1,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,1,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[1,2,3,4,5,6,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[6,5,8,7,4,3,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,7,6,5,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,4,3,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[2,1,8,7,6,5,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,6,5,8,7,4,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[4,3,2,1,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[2,1,4,3,8,7,6,5] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 4
[6,5,4,3,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[4,3,6,5,2,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[2,1,6,5,4,3,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4
[4,3,2,1,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 4
[2,1,4,3,6,5,8,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 2
[1,3,2,7,6,5,4,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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
[1,2,3,5,6,7,4,8] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => 2
[1,5,4,3,2,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => 4
[1,2,4,3,5,7,6,8] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => 2
[1,3,2,4,5,7,6,8] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => 2
[1,2,4,5,6,3,7,8] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => 2
[1,3,2,4,6,5,7,8] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => 2
[1,3,4,5,2,6,7,8] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => 2
[2,1,4,3,8,6,7,5] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 4
[2,1,6,4,5,3,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4
[2,1,8,4,5,6,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,4,5,7,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,4,6,5,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,4,6,7,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,4,7,6,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,4,6,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,4,7,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,6,4,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,6,7,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,7,6,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,6,5,4,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,6,5,7,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,7,5,6,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,3,1,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 4
[4,2,3,1,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,2,3,1,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,2,3,4,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,2,3,4,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,3,5,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,2,3,5,4,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,4,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,5,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,5,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,4,3,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,2,4,3,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,3,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,3,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,4,5,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,2,4,5,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,6,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,4,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,2,5,4,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,4,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,4,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,6,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,2,1,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[8,3,2,4,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,2,5,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,2,5,4,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,6,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,5,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,5,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,4,2,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,4,2,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,4,5,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,4,5,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,4,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,5,4,2,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,6,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,5,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,5,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,5,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,5,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,3,2,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,3,2,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,7,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,3,5,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,3,5,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,5,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,4,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,5,3,4,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,4,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,4,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,4,3,8,5,6,7] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 4
[2,1,6,3,8,4,5,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[2,1,6,3,4,5,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4
[2,1,8,3,4,5,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[1,3,2,7,4,5,6,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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
[4,1,6,2,3,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[4,1,2,3,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 4
[4,1,8,2,3,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,2,3,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[1,5,2,3,4,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => 4
[6,1,8,2,3,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,2,3,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,2,3,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,5,2,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,2,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,4,3,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,7,4,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,6,2,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,7,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,2,7,1,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,2,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,6,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,3,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,1,3,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,1,2,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,1,2,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,1,2,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,1,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,6,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,6,1,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,6,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,6,1,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,7,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,1,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,1,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,7,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,1,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,6,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,2,5,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,3,5,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,2,4,8,1,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,2,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,4,7,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,6,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,6,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,2,6,1,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,2,5,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,2,5,1,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,3,5,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,2,4,1,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,3,4,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,7,1,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,2,7,1,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,2,7,1,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,3,7,1,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,2,7,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,2,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,4,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,5,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,5,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,6,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,2,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,4,2,8,1,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,4,3,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,3,2,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,4,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,7,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,5,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,6,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,2,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,3,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,2,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,6,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,3,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,3,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,2,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,6,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,5,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,5,2,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,6,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,2,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,2,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,6,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,6,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,1,2,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,2,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,1,2,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,1,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,1,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,1,7,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,6,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,6,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,1,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,5,1,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,6,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,5,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,1,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,7,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,7,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,7,3,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,3,7,5,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,4,5,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,5,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,4,5,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,3,2,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,1,8,3,2,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,3,1,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,2,1,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,1,2,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,1,7,2,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,1,2,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,2,1,3,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,2,8,1,3,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,1,2,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 4
[6,3,1,5,2,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,5,1,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,1,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[2,1,6,5,3,4,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4
[6,5,4,1,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,4,1,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,5,3,7,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,1,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,7,3,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,6,1,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,4,3,8,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 4
[8,4,7,1,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,1,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,6,3,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,3,5,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,2,5,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,2,1,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,3,8,2,1,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,2,1,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,2,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,2,1,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,2,1,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,3,2,1,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,3,8,2,1,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,2,1,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,2,1,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,1,8,4,7,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,3,2,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,2,3,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,1,3,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,3,1,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,7,1,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,4,7,5,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,1,3,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,1,2,3,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,1,3,2,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,3,1,2,8,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,3,8,1,2,7,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,1,7,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,1,2,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,3,2,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 4
[6,1,3,2,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,1,3,2,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,4,2,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[2,1,6,3,5,4,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4
[4,1,6,2,5,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[6,2,5,1,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,2,8,1,4,3,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,3,5,4,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,2,5,3,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,5,1,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,5,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,2,6,3,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,3,6,4,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,1,5,3,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,5,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,4,3,8,5,7,6] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 4
[4,1,3,2,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,1,3,2,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,7,1,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,4,2,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[2,1,6,3,8,4,7,5] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[6,1,5,2,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,7,1,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,3,7,1,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,7,2,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,3,7,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,4,7,3,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,6,3,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,2,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,6,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,1,3,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,1,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,6,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,6,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,6,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,1,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,3,2,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,3,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,1,7,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,3,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,7,2,5,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,6,5,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,7,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,7,2,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,6,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,2,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,6,5,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,1,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,3,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,2,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,1,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,5,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,7,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,7,1,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,7,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,7,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,5,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,1,2,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,5,3,7,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,5,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,2,4,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,3,1,4,5,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,7,4,5,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,5,3,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,4,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,3,5,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,2,5,6,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,3,4,6,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,1,4,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,4,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,1,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,5,3,6,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,2,8,1,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,3,5,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,4,1,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,7,4,5,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,3,2,8,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,7,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,2,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,7,5,4,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,3,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,3,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,2,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,7,2,3,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,6,2,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,1,2,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,7,5,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,3,5,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,1,4,7,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,5,7,3,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,3,5,1,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,4,1,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,3,7,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,2,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,1,4,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,6,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,5,7,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,4,6,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,2,1,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,5,2,7,4,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,4,3,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,3,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,2,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,2,1,7,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,3,6,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,3,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,2,5,1,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,4,2,5,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,2,1,3,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,2,3,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,1,2,3,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,1,2,3,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,1,2,3,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,5,8,2,4,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,2,4,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,3,6,5,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,3,6,2,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,2,5,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,3,8,1,7,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,7,5,4,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,2,5,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,2,1,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[4,3,8,7,5,6,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,4,5,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,4,1,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,4,2,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[2,1,8,7,6,5,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,6,2,3,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,3,6,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,3,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,3,7,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,1,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,7,6,1,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,1,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,5,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,1,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,3,1,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,3,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,3,7,1,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,7,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,4,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,3,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,3,7,2,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,1,7,2,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,7,6,1,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,3,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,6,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,2,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,2,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,6,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,3,1,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,5,3,1,8,2,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,4,1,8,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,3,1,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,7,4,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,3,2,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,3,7,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,2,1,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[1,3,2,7,4,6,5,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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
[1,5,2,4,3,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => 4
[6,4,8,5,1,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,4,2,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,5,1,8,2,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,5,1,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,1,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,4,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,7,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,7,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,6,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,6,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,4,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,2,1,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,5,2,1,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,7,1,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,2,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,3,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,7,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,3,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,4,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,5,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,6,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,1,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,1,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,7,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,1,5,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,1,5,2,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,1,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,4,2,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,5,4,2,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,3,2,5,1,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,5,4,3,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,5,4,1,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,5,4,1,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,6,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,1,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,1,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,5,3,7,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,5,1,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,6,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,6,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,6,4,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,7,6,4,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,7,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,4,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,4,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,5,4,7,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,7,6,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,6,3,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,7,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,2,1,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,1,2,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,1,2,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,3,1,2,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,1,2,5,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,1,5,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,4,1,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,5,1,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,1,4,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,2,1,3,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,1,2,4,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,7,3,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,2,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[4,1,6,3,5,2,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[6,2,8,5,7,3,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,6,7,3,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,3,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,7,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,7,3,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,7,4,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,7,3,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,3,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,6,3,8,5,7,4] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[4,1,8,5,6,2,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,5,1,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,1,2,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[4,3,8,5,6,7,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,1,6,3,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,3,6,2,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,5,2,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,8,1,3,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,6,5,3,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,5,7,6,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,6,7,5,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,3,1,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,7,2,5,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,1,2,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,4,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,3,6,7,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,3,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,2,7,1,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,1,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,1,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,4,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,6,1,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,4,6,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,6,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,7,1,6,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,6,1,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,7,2,6,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,6,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,3,7,6,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,3,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,6,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,2,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,1,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,1,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,7,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,6,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,6,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,2,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,6,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,3,4,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,5,2,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,6,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,4,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,3,2,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,3,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,1,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,4,2,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,5,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,7,2,3,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,3,4,7,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,3,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,5,2,7,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,4,5,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,8,4,2,7,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,5,6,7,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,6,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,2,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,4,2,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,5,2,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,5,7,3,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,1,7,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,5,6,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,7,6,3,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[1,2,3,4,5,6,7,8,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[1,2,3,4,5,6,7,8,9,10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[6,4,5,3,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,5,3,1,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,7,5,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,6,4,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,3,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,7,5,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,6,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,4,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,3,4,5,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,3,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,4,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,1,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,5,2,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,5,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,2,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,2,3,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,7,2,6,3,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,1,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,3,5,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,5,4,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,4,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,4,1,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,3,2,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,3,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,4,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,1,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,4,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,5,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,3,4,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,3,7,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,1,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,7,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,4,2,8,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,4,2,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,6,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,1,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,1,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,3,2,1,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,5,3,7,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,5,2,1,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,5,3,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,3,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,7,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,4,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,1,7,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,7,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,6,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,2,6,7,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,1,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,3,1,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,5,2,3,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,5,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,3,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,3,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,1,5,2,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,4,5,1,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,1,5,3,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,3,5,1,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,5,2,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,4,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,4,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,1,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,4,5,3,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,7,4,5,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,6,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,6,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,4,7,5,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,3,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,6,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,7,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,3,7,4,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,5,2,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,6,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,3,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,7,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,3,1,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,1,3,2,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[8,6,7,2,3,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,7,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,6,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,5,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,3,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,7,3,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,3,7,5,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,3,2,7,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,6,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,6,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,5,7,3,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,4,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,6,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,6,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,6,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,1,3,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,3,1,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,1,3,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,2,8,5,4,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,5,2,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,1,2,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,1,8,3,5,6,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,4,2,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,3,2,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,4,8,2,5,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,5,3,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,3,1,8,5,6,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[8,1,5,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,1,2,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,1,2,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,1,3,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,7,3,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,7,1,5,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,7,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,7,6,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,3,2,1,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,7,3,5,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,4,5,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,4,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,1,5,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,1,4,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,4,5,7,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,2,5,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,7,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,7,6,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,7,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,2,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,6,1,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,7,1,6,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,2,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,3,7,6,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,7,2,6,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,3,7,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,1,8,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,3,5,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,7,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,1,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,2,4,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,4,2,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,2,1,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,5,2,7,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,6,5,3,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[4,2,6,5,1,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[2,1,6,4,8,7,5,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[2,1,6,4,8,7,3,5] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[8,1,6,3,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,3,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,3,7,1,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,1,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,6,7,1,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,6,1,7,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,6,1,3,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,7,1,3,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,5,1,3,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,1,5,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,6,3,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,3,2,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,2,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,1,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,1,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,3,5,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,3,5,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,1,5,8,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,1,5,8,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,1,5,8,3,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,1,5,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,5,4,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,5,4,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,1,4,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,8,2,5,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,1,4,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,1,2,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,3,1,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,2,5,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,5,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,2,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,1,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,7,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,1,3,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,1,4,2,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,5,1,2,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,5,7,1,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,5,6,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,5,7,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,6,3,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,6,3,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,5,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,6,2,5,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[6,1,2,5,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[2,1,8,6,4,7,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,3,1,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,1,2,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,2,1,3,6,5,8,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 4
[8,5,3,6,2,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,5,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,3,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,4,6,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,1,4,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,2,1,4,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,1,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,4,1,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[4,2,6,1,3,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[2,1,6,4,3,5,8,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 4
[6,4,2,1,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,2,1,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,2,1,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[2,1,8,4,3,6,5,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,2,1,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,4,6,3,5,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,6,4,8,3,5,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[6,2,4,1,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,4,1,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,1,4,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[2,1,4,3,8,6,5,7] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 4
[4,2,1,3,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[8,2,1,6,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,1,4,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,1,6,3,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,1,3,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,6,1,3,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,1,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,6,4,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,1,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,2,1,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,6,4,3,5,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,4,1,5,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[4,3,6,1,5,2,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[4,3,8,2,6,1,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,1,7,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,1,5,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,5,4,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[2,1,8,4,6,3,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,6,1,3,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,4,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,7,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,6,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,1,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,1,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,3,6,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,4,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,1,7,2,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,6,5,8,3,7,4] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[8,1,5,3,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,7,3,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,7,1,5,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,1,3,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,6,3,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,7,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,2,1,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,5,2,7,4,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,7,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,7,5,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,4,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,5,7,4,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,2,6,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,1,3,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,4,1,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,8,1,5,2,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,1,2,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,4,2,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,1,8,2,6,3,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,5,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,1,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,1,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,2,1,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,7,3,1,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,6,1,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,2,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,1,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,1,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,2,5,8,3,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,3,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,2,1,7,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,7,6,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,6,5,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,6,2,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,2,5,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[4,1,8,7,5,2,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,3,2,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,7,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,5,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,2,3,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,2,4,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,1,7,3,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,6,3,8,5,4,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[4,2,8,7,6,3,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,7,6,5,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,7,6,5,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,7,6,5,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,6,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,7,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,7,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,7,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,4,7,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,4,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,3,1,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,2,7,5,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,4,7,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,7,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,7,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,7,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,5,3,7,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,3,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,5,2,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,3,2,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,6,4,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,1,8,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,8,5,1,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,3,2,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,7,6,1,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,5,7,6,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,5,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,1,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,3,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,5,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,4,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,4,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,3,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,2,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,7,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,2,4,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,7,4,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,3,2,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[2,1,8,6,7,5,4,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,6,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,4,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,2,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,6,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,3,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,3,7,5,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,5,2,4,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,2,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,5,3,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,2,1,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,8,4,3,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,5,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,1,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,7,5,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,1,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,6,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,6,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,5,4,3,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,3,2,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,2,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,1,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,5,7,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,6,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,5,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,2,4,7,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,2,3,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,4,2,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,3,8,1,2,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,2,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,7,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,3,6,1,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,1,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,7,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,4,3,8,2,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,4,3,7,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,5,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,3,7,2,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,3,2,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,6,3,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,5,2,7,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,5,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,2,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,4,5,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,7,6,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,7,3,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,1,5,8,2,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,5,6,7,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,5,2,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,3,6,7,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,6,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,1,3,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,7,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,7,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,4,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,6,2,5,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,1,4,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,7,4,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,3,1,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,7,4,3,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,3,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,4,3,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,3,1,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,3,5,6,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,3,6,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,6,1,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,1,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,5,3,8,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,2,4,8,1,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,4,1,8,2,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,3,1,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,6,4,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,3,1,5,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,1,5,4,3,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,3,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,2,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,1,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,3,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,1,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,1,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,1,2,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,7,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,3,2,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,1,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,7,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,1,5,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,1,6,7,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,3,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,3,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,6,7,3,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,1,6,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,1,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,7,1,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,6,5,8,4,7,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[4,1,8,5,6,2,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,3,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,4,3,7,5,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,2,4,5,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,3,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,1,5,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,5,1,2,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,4,1,2,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,6,3,1,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[4,2,8,3,1,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,6,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,4,3,5,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,1,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,5,1,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,5,1,7,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,5,2,6,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,5,1,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,5,3,1,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,7,6,5,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,4,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,3,6,7,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,7,4,5,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,1,4,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,1,3,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,5,2,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,5,6,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,1,8,2,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,4,6,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,5,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,3,4,8,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,2,5,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,4,2,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,3,8,1,6,2,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,7,2,5,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,7,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,3,7,5,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,7,3,5,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,3,1,8,6,5,7] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,2,8,6,3,1,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,7,4,3,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,4,5,8,3,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,3,5,2,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,1,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,4,5,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,4,3,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,4,7,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,1,6,7,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,2,7,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,2,3,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,3,7,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,7,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,1,5,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,4,1,8,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,2,1,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,1,3,5,7,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,3,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,7,6,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,7,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,3,7,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,1,5,2,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,4,5,3,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,7,6,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,3,1,6,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,1,5,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,7,5,2,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,1,5,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,4,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,3,1,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,7,5,1,3,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,6,1,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,5,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,4,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,7,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,6,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,5,6,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,4,5,8,1,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,4,2,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,5,6,7,3,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,6,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,7,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,6,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,2,1,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,2,8,5,6,7,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,4,1,3,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,6,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,2,7,4,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,7,4,1,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,2,3,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,1,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,3,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,5,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,5,1,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,5,2,6,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,1,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,3,2,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,2,3,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,8,3,4,5,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,5,7,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,1,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,3,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,4,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,4,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,4,8,1,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,4,1,5,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,4,1,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,6,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,1,2,8,5,7,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,3,1,2,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[8,4,7,6,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,6,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,5,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,4,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,4,7,2,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,1,7,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,3,5,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,5,3,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,8,5,3,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,5,7,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,2,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,2,3,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,6,2,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,7,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,1,7,4,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,1,4,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,3,7,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,4,2,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,3,8,7,5,2,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,1,3,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,4,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,3,8,6,1,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,7,1,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,4,5,7,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,4,3,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,6,5,3,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,5,2,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,1,3,8,5,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,3,1,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,5,2,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,3,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,2,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,7,1,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,6,4,8,5,3,7] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[4,1,8,5,3,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,3,2,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,3,8,1,2,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,5,4,7,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,5,2,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,5,7,1,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,1,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,7,5,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,3,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,1,4,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,7,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,4,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,2,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,4,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,5,3,8,2,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,6,4,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,7,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,6,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,2,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,5,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,2,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,4,3,2,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,5,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,4,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,1,5,4,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,2,7,3,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,2,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,4,3,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,2,5,3,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,2,5,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,7,3,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,6,3,2,5,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[6,5,4,3,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,4,3,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,8,1,7,5,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,3,1,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,1,2,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,3,1,7,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,3,2,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,3,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,3,2,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,4,5,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,4,5,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,4,5,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,4,5,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,4,2,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,3,5,4,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,6,3,5,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,3,5,7,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,1,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,6,1,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,3,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,1,7,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,3,6,4,5,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,3,7,4,5,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,3,6,7,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,5,6,1,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,1,2,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,7,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,2,3,7,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,5,3,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,6,3,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,6,1,5,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,7,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,6,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,1,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,3,7,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,3,6,1,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,1,6,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,5,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,4,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,6,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,4,2,8,3,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,4,3,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,3,2,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,5,7,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,1,7,5,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,3,4,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,3,2,5,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,5,3,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,4,7,1,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,5,1,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,5,6,3,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,5,3,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,5,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,5,3,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,1,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,6,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,5,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,7,3,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,5,3,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,6,3,7,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,2,5,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,2,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,3,2,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,3,4,5,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,4,1,5,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,4,3,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,5,3,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,7,6,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,4,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,5,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,4,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,3,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,3,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,3,5,7,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,7,5,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,7,5,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,7,5,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,7,1,5,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,1,7,6,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,1,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,1,7,5,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,1,7,5,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,3,1,8,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,3,1,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,2,1,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,4,2,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,1,4,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,3,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,2,3,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,3,6,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,6,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,2,3,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,8,4,2,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,4,2,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,1,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,1,3,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,1,3,6,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,2,4,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,4,3,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,8,5,3,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,3,5,8,2,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,8,7,4,2,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,5,1,7,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,5,7,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,7,5,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,1,3,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,4,3,8,5,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,4,3,6,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,6,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,3,5,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,1,3,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,1,3,5,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,3,6,5,7,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,6,3,5,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,4,3,5,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,4,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,3,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,1,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,7,3,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,3,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,4,3,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,6,3,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,4,5,3,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,3,7,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,2,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,7,3,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,2,4,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,8,7,3,1,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,4,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,7,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,2,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,5,3,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,4,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,4,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,4,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,4,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,4,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,4,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,1,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,1,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,3,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,6,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,1,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,7,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,6,5,1,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,4,7,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,7,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,1,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,1,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,5,4,6,3,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,5,2,3,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,2,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,1,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,4,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,6,5,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,4,1,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,1,4,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,4,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,1,4,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,6,7,1,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,2,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,2,1,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,5,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,1,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,6,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,6,7,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,6,7,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,3,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,3,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,3,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,1,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,1,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,3,1,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,4,3,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,2,1,3,8,6,7,5] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[8,1,5,7,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,4,7,5,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,5,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,3,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,1,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,1,2,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,6,1,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,2,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,1,2,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,5,1,2,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,5,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,3,7,5,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,7,1,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,7,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,3,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,4,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,1,2,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,5,4,8,3,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,3,5,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,6,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,2,5,3,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,4,7,5,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,2,5,8,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,4,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,6,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,4,5,8,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,6,7,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,2,8,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,7,4,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,2,5,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,7,4,5,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,7,5,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,6,7,5,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,7,5,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,6,4,7,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,2,7,5,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,6,4,7,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,1,4,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,4,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,4,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,3,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,6,2,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,1,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,5,3,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,6,4,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,3,7,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,3,1,5,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,3,7,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,5,3,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,2,4,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,8,7,2,5,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,1,3,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,4,3,7,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,3,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,2,3,6,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,4,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,2,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,4,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,4,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,2,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,5,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,2,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,1,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,1,3,4,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,3,5,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,1,3,5,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,4,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,3,5,1,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,1,2,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,1,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,3,5,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,6,7,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,5,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,5,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,1,4,2,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,5,7,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,2,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,6,7,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,3,4,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,5,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,5,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,4,3,8,2,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,1,6,7,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,1,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,1,2,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,1,7,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,7,6,2,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,4,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,2,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,3,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,4,1,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,4,1,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,7,3,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,7,2,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,2,3,8,5,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,2,3,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,4,3,1,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[4,3,8,7,5,1,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,7,5,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,7,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,3,8,2,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,6,3,7,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,3,5,2,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,5,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,4,3,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,3,4,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,3,5,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,3,7,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,4,7,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,4,7,3,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,2,4,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,2,5,7,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,2,4,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,2,7,5,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,4,2,1,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[4,3,8,5,7,6,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,6,4,3,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,2,1,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,7,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,2,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,2,6,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,4,5,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,7,1,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,3,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,2,7,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,3,2,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,4,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,2,7,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,3,7,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,7,3,2,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,3,2,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[4,2,8,6,3,1,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,5,2,6,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,7,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,5,4,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,2,5,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,8,7,4,3,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,5,2,3,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,1,4,3,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,3,7,2,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,3,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,1,5,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,5,7,3,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,2,3,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,4,7,2,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,4,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,2,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,3,7,1,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,5,7,3,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,5,7,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,7,5,3,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,7,5,1,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,2,3,5,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,3,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,3,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,4,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,4,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,2,1,8,4,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,2,3,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,5,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,4,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,4,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,6,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,5,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,4,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,7,3,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,4,3,7,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,4,2,6,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,1,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,2,6,5,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,1,5,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,4,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,2,1,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,7,6,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,1,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,3,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,5,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,5,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,1,5,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,6,1,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,7,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,1,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,7,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,7,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,1,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,3,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,1,7,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,1,2,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,7,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,7,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,3,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,2,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,4,1,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,1,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,4,3,5,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,2,4,5,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,7,1,2,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,5,7,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,4,6,7,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,7,6,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,7,3,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,3,1,8,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 4
[6,4,2,1,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,3,7,4,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,1,2,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,4,7,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,1,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,7,1,4,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,2,1,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,1,2,8,3,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,1,4,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,6,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,7,5,6,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,3,7,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,6,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,7,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,5,7,6,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,1,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,1,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,3,4,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,3,4,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,3,4,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,7,4,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,5,1,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,1,5,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,6,2,7,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,1,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,4,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,6,7,5,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,2,7,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,7,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,5,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,6,7,1,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,6,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,7,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,6,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,5,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,3,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,4,5,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,7,6,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,7,5,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,2,5,8,3,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,6,2,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,4,1,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,3,8,2,5,4,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,2,1,5,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,3,1,8,2,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,8,7,2,4,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,3,6,7,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,5,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,7,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,4,1,8,5,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,7,2,5,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,1,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,4,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,4,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,7,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,4,7,3,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,4,2,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,3,4,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,3,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,6,3,5,1,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[8,6,2,4,3,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,4,6,5,3,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,6,4,8,5,7,3] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[8,4,2,6,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,4,3,8,5,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,4,3,6,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,1,4,8,5,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,6,5,2,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,5,2,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,5,7,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,6,5,7,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,6,4,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,7,6,2,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,5,2,4,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,3,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,4,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,4,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,2,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,7,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,3,5,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,7,4,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,7,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,4,3,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,5,1,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,3,5,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,6,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,2,7,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,1,2,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,1,8,2,3,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,5,7,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,1,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,4,3,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,2,1,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,5,3,8,4,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,2,3,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,3,4,8,1,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,7,3,2,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,1,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,7,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,6,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,7,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,7,4,3,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,2,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,4,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,7,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,2,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,5,2,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,5,2,7,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,2,5,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,4,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,2,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,1,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,5,1,2,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,2,5,7,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,1,6,2,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,4,2,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,1,7,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,7,2,1,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,1,4,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,5,4,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,3,7,4,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,5,4,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,5,7,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,4,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,5,2,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,6,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,2,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,3,2,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,5,2,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,4,2,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,4,2,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,2,6,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,2,7,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,7,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,2,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,5,7,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,3,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,1,4,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,1,7,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,7,1,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,4,1,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[2,1,8,7,3,6,4,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,5,1,2,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,7,4,5,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,4,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,2,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,4,3,7,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,6,2,7,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,6,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,3,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,5,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,5,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,5,1,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,7,2,1,4,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,5,4,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,2,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,7,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,2,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,7,3,5,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,4,3,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,1,3,7,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,3,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,1,7,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,1,6,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,1,4,8,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,8,3,5,7,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,3,5,4,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,3,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,7,5,2,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,1,7,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,4,1,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,5,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,3,1,8,2,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,8,1,3,7,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,7,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,2,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,3,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,3,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,7,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,1,4,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,4,2,5,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,1,7,3,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,3,4,8,2,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,3,4,8,1,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,1,4,8,2,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,3,4,7,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,7,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,1,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,7,6,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,6,5,7,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,6,7,3,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,6,7,5,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,2,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,5,3,8,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,3,5,7,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,5,2,1,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,3,7,4,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,6,3,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,7,4,2,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,3,7,4,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,7,5,3,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,3,1,7,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,7,5,3,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,6,3,2,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,6,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,7,3,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,1,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,7,5,1,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,7,5,1,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,2,3,5,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,3,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,6,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,7,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,4,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,4,2,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,3,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,7,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,1,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,7,5,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,1,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,1,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,5,2,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,1,3,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,7,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,3,7,5,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,4,5,2,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,2,3,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,1,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,1,4,2,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,4,1,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,7,3,5,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,3,6,4,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,6,1,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,6,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,3,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,1,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,2,1,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,5,6,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,2,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,7,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,1,2,8,3,5,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,1,8,2,7,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,3,7,5,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,3,7,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,6,5,7,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,5,7,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,5,6,7,3,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,6,3,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,2,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,1,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,1,2,4,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,5,2,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,1,5,3,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,5,7,6,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,1,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,6,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,4,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,3,4,2,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,1,5,7,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,2,4,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,5,3,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,4,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,1,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,2,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,5,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,2,1,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,5,2,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,4,3,5,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,3,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,6,1,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,3,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,5,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,7,5,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,1,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,4,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,2,3,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,3,4,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,2,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,2,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,7,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,2,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,1,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[1,5,3,2,4,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => 4
[1,3,2,7,5,4,6,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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
[8,5,3,6,2,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,7,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,7,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,2,8,3,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,7,2,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,5,2,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,3,1,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,2,5,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,2,4,7,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,3,8,1,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,2,8,3,5,7,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,6,5,7,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,3,1,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,1,3,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,1,3,7,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,3,4,7,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,7,6,3,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,3,1,7,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,6,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,4,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,6,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,1,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,5,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,5,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,1,4,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,3,1,4,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,7,4,1,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,6,3,1,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,2,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,2,8,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,4,7,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,6,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,5,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,1,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,5,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,5,3,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,5,4,7,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,4,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,3,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,6,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,3,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,7,3,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,4,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,4,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,5,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,3,2,7,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,7,2,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,4,8,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,3,7,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,3,5,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,7,5,6,2,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,2,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,3,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,3,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,1,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,7,1,5,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,3,1,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,5,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,7,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,5,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,5,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,5,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,7,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,5,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,1,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,7,6,3,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,7,1,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,4,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,2,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,6,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,2,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,3,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,5,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,3,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,5,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,7,5,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,3,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,1,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,3,7,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,5,4,1,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,7,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,1,7,6,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,1,3,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,2,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,1,5,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,1,7,3,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,3,4,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,6,7,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,5,7,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,5,6,3,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,6,1,5,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[8,1,7,5,2,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,7,5,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,3,5,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,7,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,7,5,6,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,1,3,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,4,2,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,3,5,7,6,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,3,2,8,1,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,4,3,8,1,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,2,8,1,5,7,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,4,1,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,6,4,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,2,4,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,5,8,7,3,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,6,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,4,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,1,2,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[2,1,8,7,5,4,6,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,3,4,2,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,2,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,4,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,5,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,3,1,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,5,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,6,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,3,5,4,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,6,5,3,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,4,7,3,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,2,1,5,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,4,5,8,3,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,8,5,3,4,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,7,4,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,1,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,5,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,4,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,6,1,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,5,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,1,5,3,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[2,1,8,6,3,7,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,5,7,2,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,5,4,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,4,5,1,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,4,3,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,2,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,1,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,2,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,6,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,2,4,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,7,5,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,6,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,5,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[1,3,2,7,6,4,5,8] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => ([(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
[1,5,4,2,3,7,6,8] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => 4
[6,3,2,5,8,1,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,5,7,2,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,1,5,7,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,7,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,7,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,3,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,7,4,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,7,2,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,3,7,2,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,3,2,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,3,1,2,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,2,3,5,1,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,3,2,5,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,6,4,5,7,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,7,1,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,3,2,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,7,4,1,6,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,6,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,5,6,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,6,7,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,1,5,7,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,2,5,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,6,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,5,1,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,5,1,3,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,7,5,4,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,3,7,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,7,2,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,3,5,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,3,5,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,5,7,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,7,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,7,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,2,7,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,7,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,7,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,7,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,5,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,1,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,4,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,6,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,6,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,5,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,5,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,5,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,5,4,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,6,5,1,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,6,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,1,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,1,3,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,6,3,2,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,6,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,7,1,5,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,4,7,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,1,7,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,6,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,7,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,6,5,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,2,1,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,3,1,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,2,8,1,7,5,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,4,1,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,3,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,1,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,1,2,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,5,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,4,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,6,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,2,4,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,1,7,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,5,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,4,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,2,1,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,1,3,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,4,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,5,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,4,7,1,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,3,7,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,7,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,7,5,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,6,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,7,2,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,3,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,5,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,4,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,4,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,7,6,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,7,3,1,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,3,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,6,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,5,4,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,1,6,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,5,2,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,6,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,2,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,7,4,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,4,7,1,5,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,2,5,8,1,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,5,3,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,3,2,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,2,3,1,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,4,7,2,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,6,7,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,5,4,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,2,6,5,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,2,7,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,3,1,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,3,5,8,1,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,1,5,8,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,5,1,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,2,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,1,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,4,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,4,5,1,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,7,1,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,7,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,1,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,1,6,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,4,1,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,3,2,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,1,2,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,1,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,3,1,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,1,3,7,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,5,6,1,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,2,6,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,4,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,7,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,6,7,2,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,1,7,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,6,3,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,4,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,4,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,5,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,2,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,4,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,5,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,3,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,3,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,5,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,3,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,2,7,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,6,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,5,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,5,3,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,2,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,7,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,1,2,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,7,5,6,3,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,6,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,6,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,4,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,3,4,6,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,5,1,2,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,3,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,3,6,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,1,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,7,4,2,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,1,3,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,5,2,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,2,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,1,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,7,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,5,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,7,3,6,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,2,5,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,2,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,6,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,6,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,6,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,6,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,7,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,7,3,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,1,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,5,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,6,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,4,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,1,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,1,6,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,1,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,2,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,2,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,4,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,3,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,4,2,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,5,2,4,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,2,6,1,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,1,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,4,2,1,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,3,5,4,2,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[4,2,8,5,6,3,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,4,2,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,7,6,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,6,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,1,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,5,7,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,7,4,2,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,5,3,1,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,1,7,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,1,4,8,2,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,6,1,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,6,4,8,3,7,5] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[6,4,8,5,3,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,2,6,7,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,3,6,5,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,7,2,4,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,2,3,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,5,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,7,1,3,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,5,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,1,2,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,7,6,5,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,1,7,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,6,1,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,6,4,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,6,1,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,5,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,7,2,3,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,1,2,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,2,5,7,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,3,5,2,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,3,5,1,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,3,5,7,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,5,7,1,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,2,5,8,4,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,8,3,5,4,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,6,7,3,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,3,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,5,1,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,6,2,1,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,2,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,4,3,6,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,4,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,6,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,1,2,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,6,5,4,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,3,4,7,2,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,5,6,3,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,7,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,1,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,6,2,3,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,2,7,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,5,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,5,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,1,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,2,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,1,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,2,3,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,2,7,5,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,3,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,7,4,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,6,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,3,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,6,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,5,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,3,1,4,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,6,5,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,7,5,3,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,5,1,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,6,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,7,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,5,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,6,1,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,2,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,4,7,5,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,5,1,6,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,1,4,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,4,3,8,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,6,3,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,2,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,7,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,3,6,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,2,5,4,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,7,2,5,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,1,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,4,1,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,1,4,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,2,8,3,7,5,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,7,2,6,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,7,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,3,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,5,3,7,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,3,7,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,4,3,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,1,3,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,7,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,4,1,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,7,4,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,1,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,3,5,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,5,7,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,2,3,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,7,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,2,1,5,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,1,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,7,3,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,4,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,4,5,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,1,2,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,4,6,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,3,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,6,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,5,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,3,2,8,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,1,4,3,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,7,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,1,7,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,6,3,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,1,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,4,8,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,7,4,2,1,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,1,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,1,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,7,6,2,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,1,4,2,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,2,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,6,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,5,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,3,5,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,4,5,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,4,6,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,4,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,4,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,6,4,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,5,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,5,3,7,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,5,1,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,1,6,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,5,6,3,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,2,1,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,7,3,2,5,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,4,2,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,2,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,2,4,8,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,2,4,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,5,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,1,5,8,3,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,3,8,1,5,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,3,2,4,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,5,7,2,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,7,3,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,2,7,3,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,2,7,5,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,2,3,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,5,1,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,5,4,6,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,1,2,5,7,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,6,2,5,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,1,7,4,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,3,5,8,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,2,8,3,4,1,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,7,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,5,1,7,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,6,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,3,5,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,3,5,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,6,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,6,2,7,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,4,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,3,7,4,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,5,1,6,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,4,3,7,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,2,5,3,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,5,2,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[6,5,2,1,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,2,4,1,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,6,3,5,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,6,1,4,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,2,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,6,4,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,3,1,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,3,5,7,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,5,7,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,1,2,5,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,4,6,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,5,2,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,5,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,3,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,5,2,7,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,2,6,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,7,2,4,3,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,1,4,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,7,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,7,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,2,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,4,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,5,2,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,1,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,1,4,8,3,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,4,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,2,5,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,3,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,1,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,3,1,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,1,3,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,1,5,8,4,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,2,8,5,3,6,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,4,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,3,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,5,3,6,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,6,2,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,2,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,6,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,2,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,3,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,1,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,6,7,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,3,4,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,2,3,8,4,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,6,7,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,5,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,5,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,2,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,2,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,5,2,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,6,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,4,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,1,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,1,7,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,3,7,2,1,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,2,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,6,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,1,2,8,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,1,7,2,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,3,1,4,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,1,7,2,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,3,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,2,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,2,6,5,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,2,3,1,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,2,8,1,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,2,1,8,5,3,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,4,6,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,5,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,5,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,6,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,6,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,3,5,1,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,5,2,8,1,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,1,8,7,4,5,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,3,7,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,4,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,1,6,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,7,3,1,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,2,1,7,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,4,3,8,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,7,3,5,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,1,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,1,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,7,6,5,1,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,7,4,5,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,7,2,5,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,6,7,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,2,7,5,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,6,7,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,7,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,6,7,5,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,6,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,2,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,4,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,6,1,7,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,5,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,1,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,2,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,6,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,7,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,7,3,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,2,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,5,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,6,1,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,1,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,6,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,4,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,6,3,7,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,5,3,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,7,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,6,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,7,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,5,2,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,3,5,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,1,5,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,6,1,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,4,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,2,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,2,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,5,7,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,5,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,3,5,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,3,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,3,6,2,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,4,5,3,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,5,3,6,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,4,5,1,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,4,5,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,2,3,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,4,5,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,5,2,6,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,4,1,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,4,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,7,2,4,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,4,5,7,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,4,5,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,5,7,2,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,1,7,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,1,7,5,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,5,2,6,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,3,1,8,5,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,2,3,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,2,5,8,4,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,3,8,5,2,7,1,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,1,2,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,4,2,8,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,2,6,5,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,3,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,4,7,1,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,7,1,2,6,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,5,7,1,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,5,3,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,4,5,6,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,4,1,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,6,3,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,1,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,3,1,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,1,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,1,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,7,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,3,6,5,4] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,1,5,4,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,2,6,3,7,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,5,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,5,4,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,2,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,3,6,5,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,3,5,2,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,5,7,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,5,7,1,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,5,4,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,3,7,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,4,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,1,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,3,4,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,7,2,6,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,3,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,2,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,7,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,5,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,1,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,2,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,6,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,2,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,5,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,5,3,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,5,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,1,7,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,6,2,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,1,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,3,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,2,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,1,7,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,6,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,7,2,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,4,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,3,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,6,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,5,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,7,4,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,5,4,2,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,5,7,2,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,3,7,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,7,5,2,3,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,2,4,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,4,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,5,6,2,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,3,8,6,7,2,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,1,7,2,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,5,4,8,2,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,6,7,5,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,5,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,1,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,5,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,1,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,2,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,5,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,4,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,6,4,7,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,1,3,4,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,7,5,3,2,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,6,7,2,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,6,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,5,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,2,4,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,7,2,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,4,5,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,7,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,5,4,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,7,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,6,3,7,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,1,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,6,1,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,7,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,5,7,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,4,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,4,3,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,5,1,7,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,3,2,8,5,7,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,3,2,4,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,6,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,6,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,1,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,2,1,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,5,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,2,4,1,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,2,5,7,3,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,3,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,5,1,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,2,7,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,2,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,1,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,7,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,4,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,7,6,2,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,5,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,6,5,2,7,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,2,4,8,5,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,7,1,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,7,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,6,4,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,1,6,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,2,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,3,4,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,1,2,8,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,7,2,6,3,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,3,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,4,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,6,7,5,1,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,6,3,7,2,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,7,6,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,4,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,6,4,3,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,6,7,1,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,3,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,1,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,7,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,1,6,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,2,6,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,3,7,2,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,3,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,4,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,4,7,6,3,5] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,7,6,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,1,2,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,1,2,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,6,2,1,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,3,6,7,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,6,7,1,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,2,8,1,6,5,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,6,3,7,5,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,1,6,5,7,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,5,1,3,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,1,5,6,2,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,2,6,7,3,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,3,5,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,3,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,2,3,7,6,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,6,2,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,7,2,4,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,2,3,5,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,2,5,7,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,4,5,8,3,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,6,2,7,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,2,3,8,4,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,2,3,1,6,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,1,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,7,3,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,1,5,8,4,7,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,7,5,1,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,3,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,4,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,7,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,7,1,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,2,6,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,3,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,1,5,7,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,4,1,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,3,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,7,3,4,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,2,4,3,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,1,5,2,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,6,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,3,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,1,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,1,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,5,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,7,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,7,1,4,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,5,7,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,4,5,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,4,2,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,7,1,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,2,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,1,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,1,5,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,4,7,6,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,6,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,3,5,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,6,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,1,6,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,4,3,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,6,3,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,2,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,7,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,2,4,3,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,2,7,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,1,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,2,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,2,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,1,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,7,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,3,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,2,7,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,3,1,2,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,4,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,3,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,2,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,6,7,5,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,7,3,5,4,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,5,7,4,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,1,4,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,1,4,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,2,7,5,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,2,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,6,1,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,2,1,7,3,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,4,5,1,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,7,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,7,2,5,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,7,2,4,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,3,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,6,1,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,1,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,6,7,1,5,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,2,4,7,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,1,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,3,4,2,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,7,6,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,3,4,2,5,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,5,3,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[2,1,8,7,4,6,5,3] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,5,4,2,3,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,4,1,5,7,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,5,2,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,6,2,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,5,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,6,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,3,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,7,2,1,5,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,4,7,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,2,5,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,2,8,3,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,5,3,8,1,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,2,6,5,1,4,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,5,1,7,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,1,4,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,4,3,5,2,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,4,2,5,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,5,2,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,3,5,2,6,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,2,5,4,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,1,3,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,2,6,7,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,2,6,5,7,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,5,2,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,3,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,5,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,1,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,1,5,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,1,3,2,4,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[2,1,8,5,3,4,6,7] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,3,2,5,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,2,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,3,6,7,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,5,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,3,6,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,5,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,2,3,7,5] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,8,5,7,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,6,3,4,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,5,4,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,6,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,6,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,4,2,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,1,8,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,5,2,4,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,3,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,1,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,5,4,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,1,3,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,3,7,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,7,4,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,1,7,5,6,2] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,7,1,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,4,7,2,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,7,6,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,1,4,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,1,2,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,2,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,6,1,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,1,3,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,3,1,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,6,3,1,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,2,6,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,7,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,6,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,6,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,3,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,3,6,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,4,5,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,3,7,6,1,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,5,2,8,4,7,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,3,5,1,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,4,1,6,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,6,1,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,4,1,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,6,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,4,5,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,3,1,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,1,2,7,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,4,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,4,1,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,3,2,7,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,3,1,7,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,7,2,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,3,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,3,4,8,2,1,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,5,2,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,5,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,2,7,4,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,2,7,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,2,3,8,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,5,1,3,8,4,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,1,8,3,2,6,5,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,3,5,6,4,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,1,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,3,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,3,4,6,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,4,2,5,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,5,1,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,1,2,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,2,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,2,4,6,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,7,1,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,8,5,4,3,7,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,5,4,1,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,5,3,2,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,6,2,7,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,4,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,2,4,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,6,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,2,6,4,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,3,5,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,2,4,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,5,7,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,1,2,5,4,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,2,6,4,1,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,3,4,1,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,7,3,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,7,3,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,5,7,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,2,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,7,1,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,6,4,1,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,5,1,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,7,1,4,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,4,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,5,6,2,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,7,3,6,5,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,5,1,6,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,4,1,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,5,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,1,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,2,5,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,3,7,6,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,7,5,2,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,5,7,3,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,1,4,6,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,3,5,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,6,1,5,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,3,4,5,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,3,2,5,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,1,4,2,5,8,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 6
[8,3,6,2,7,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,5,3,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,2,7,6,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,4,3,6,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,6,3,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,2,1,6,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,5,3,6,7,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,6,7,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,2,7,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,7,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,6,4,5,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,1,5,4,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,2,5,6,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,7,3,4,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,3,5,4,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,6,3,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,7,6,2,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,3,5,1,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,4,1,7,3,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,2,1,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,4,6,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,2,7,3,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,5,2,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,2,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,1,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,5,2,8,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,6,3,1,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,4,5,2,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,6,1,4,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,5,6,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,1,2,6,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,1,2,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,4,1,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,2,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,1,2,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,4,6,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,1,6,7,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,3,7,5,2,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,3,7,5,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,3,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,5,4,2,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,3,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,3,1,8,5,2,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,1,7,2,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,2,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,2,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,7,6,3,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,4,1,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,8,5,7,2,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,3,6,4,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,5,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,3,5,2,8,1,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,7,2,4,3,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,5,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,5,1,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,5,2,1,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,5,6,2,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,5,3,6,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,3,2,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,6,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,6,4,3,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,2,1,5,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,6,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,2,4,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,1,3,8,4,7,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,5,1,4,6,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,5,3,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,7,3,4,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,3,7,4,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,3,4,7,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,7,5,3,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,1,3,7,5,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,4,1,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,3,7,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,1,6,3,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,2,7,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,5,2,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,4,1,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,2,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,5,7,1,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,1,7,3,2,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,4,8,1,5,2,3,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,7,5,4,6,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,6,3,1,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,3,1,5,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,3,1,5,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,5,1,6,7,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,7,3,5,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,4,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,2,8,6,5,1,3,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,3,2,4,8,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,3,2,7,4,1,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,5,7,4,2,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,1,8,5,4,7,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,5,7,6,2,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,2,7,5,3,6] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,5,2,7,4,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,5,3,6,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,1,5,6,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,6,4,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,1,6,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,7,3,6,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,2,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,5,2,6,1,7] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,6,3,4,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,5,4,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,5,1,3,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,3,1,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,7,3,1,2,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,5,1,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,3,4,1,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,5,3,1,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,5,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,4,6,1,3,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,1,5,7,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,1,8,5,7,2,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[4,1,8,2,7,5,6,3] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,7,2,6,4,5,1,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,2,1,6,5,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,3,1,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,1,4,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,2,1,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,1,7,4,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,3,4,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,3,1,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,4,3,7,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,1,3,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,1,6,4,7,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,3,7,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,4,7,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,8,7,4,5,3,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,3,1,6,4,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,6,7,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,5,1,3,7,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,1,3,6,7,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,2,6,5,1,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,4,3,2,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,1,2,4,8,3,7,5] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[4,1,6,5,2,3,8,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 4
[8,5,7,3,4,6,2,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,4,7,3,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,3,6,4,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,1,3,5,7,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[2,1,6,5,8,7,3,4] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 4
[8,2,3,1,7,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,1,6,4,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,7,3,1,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,3,1,4,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,7,4,1,3,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,2,5,4,7,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,6,5,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,1,3,2,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,4,3,7,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,3,2,7,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,3,7,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,2,6,4,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,7,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,7,6,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,3,1,5,4,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,1,6,2,5] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,2,3,1,6,5,7,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,7,1,3,6,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,3,1,6,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,6,1,7,4,5,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,7,4,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,6,4,7,5,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,1,5,3,7,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,2,5,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,2,3,4,1,7] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,5,3,4,6,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,3,2,6,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,3,5,4,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,1,7,6,4,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,5,4,7,1,6,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,6,1,4,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,4,3,5,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,4,7,3,5,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,5,3,8,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[6,4,5,3,8,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,7,5,2,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,7,4,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,7,5,3,1,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,7,5,3,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,7,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,7,5,3,1,4] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,8,4,7,2,1,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,6,2,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,2,7,4,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,7,6,2,5,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,2,8,5,1,4,7,3] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,4,6,3,5,1,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,2,6,7,3,5,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,4,6,3,1,7,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,6,2,3,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,2,5,4,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,3,7,4,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,2,6,5,7,3,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,4,3,6,2,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,5,7,6,4,3,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[4,3,8,7,2,5,6,1] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,5,1,3,8,2,4,7] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,4,7,1,5,6,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,7,3,4,1,5,2,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,4,5,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,6,5,1,3,7,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,4,7,6,1,2,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,3,5,4,1,7,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,2,4,6,3,1,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,4,1,6,3,5,2,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,3,5,7,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,6,2,5,7,3,4,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,5,1,2,7,4,6,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,5,8,3,7,1,4,2] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,1,2,4,6,3,5,7] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,5,4,1,7,3,6] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,1,7,6,4,2,3,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,8,7,3,2,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[6,2,8,3,7,4,5,1] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6
[8,3,6,5,2,7,1,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,3,1,4,6,7,2,5] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[6,4,5,1,8,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 6
[8,6,2,1,7,3,5,4] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
[8,2,6,5,1,7,4,3] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => ([],8) => 8
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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 1,3,2 1,7,10,6 1,15,38,42,24 1,31,130,222,216,120
$F_{1} = q$
$F_{2} = q + q^{2}$
$F_{3} = q + 3\ q^{2} + 2\ q^{3}$
$F_{4} = q + 7\ q^{2} + 10\ q^{3} + 6\ q^{4}$
$F_{5} = q + 15\ q^{2} + 38\ q^{3} + 42\ q^{4} + 24\ q^{5}$
$F_{6} = q + 31\ q^{2} + 130\ q^{3} + 222\ q^{4} + 216\ q^{5} + 120\ q^{6}$
Description
The width of the poset.
This is the size of the poset's longest antichain, also called Dilworth number.
This is the size of the poset's longest antichain, also called Dilworth number.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
Map
Hessenberg poset
Description
The Hessenberg poset of a Dyck path.
Let $D$ be a Dyck path of semilength $n$, regarded as a subdiagonal path from $(0,0)$ to $(n,n)$, and let $\boldsymbol{m}_i$ be the $x$-coordinate of the $i$-th up step.
Then the Hessenberg poset (or natural unit interval order) corresponding to $D$ has elements $\{1,\dots,n\}$ with $i < j$ if $j < \boldsymbol{m}_i$.
Let $D$ be a Dyck path of semilength $n$, regarded as a subdiagonal path from $(0,0)$ to $(n,n)$, and let $\boldsymbol{m}_i$ be the $x$-coordinate of the $i$-th up step.
Then the Hessenberg poset (or natural unit interval order) corresponding to $D$ has elements $\{1,\dots,n\}$ with $i < j$ if $j < \boldsymbol{m}_i$.
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