Identifier
-
Mp00075:
Semistandard tableaux
—reading word permutation⟶
Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00012: Binary trees —to Dyck path: up step, left tree, down step, right tree⟶ Dyck paths
St000012: Dyck paths ⟶ ℤ (values match St001295Gives the vector space dimension of the homomorphism space between J^2 and J^2.)
Values
[[1,2]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[2,2]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[1],[2]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[1,3]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[2,3]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[3,3]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[1],[3]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[2],[3]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[1,1,2]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,2,2]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,2,2]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,1],[2]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,2],[2]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,4]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[2,4]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[3,4]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[4,4]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[1],[4]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[2],[4]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[3],[4]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[1,1,3]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,2,3]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,3,3]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,2,3]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,3,3]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,3,3]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,1],[3]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,2],[3]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,3],[2]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,3],[3]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,2],[3]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,3],[3]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1],[2],[3]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1,1,1,2]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,2,2]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,2,2]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,2,2]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,1],[2]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,2],[2]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,2],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1],[2,2]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,5]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[2,5]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[3,5]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[4,5]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[5,5]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[1],[5]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[2],[5]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[3],[5]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[4],[5]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[1,1,4]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,2,4]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,3,4]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,4,4]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,2,4]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,3,4]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,4,4]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,3,4]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,4,4]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4,4,4]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,1],[4]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,2],[4]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,4],[2]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,3],[4]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,4],[3]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,4],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,2],[4]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,3],[4]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,4],[3]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,4],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,3],[4]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,4],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1],[2],[4]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1],[3],[4]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[2],[3],[4]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1,1,1,3]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,2,3]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,3,3]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,2,3]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,3,3]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,3,3,3]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,2,3]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,3,3]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,3,3,3]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,3,3,3]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,1],[3]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,2],[3]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,3],[2]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,3],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,2],[3]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,3],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,3],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,3],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,3],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,2],[3]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,3],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,3],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1],[2,3]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[3,3]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[2,3]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[3,3]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
>>> Load all 2456 entries. <<<[[2,2],[3,3]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[2],[3]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,2],[2],[3]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,3],[2],[3]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,1,1,1,2]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,2]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,2]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,2]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,2]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1],[2]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,2],[2]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,2],[2]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,2],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1],[2,2]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,2],[2,2]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,6]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[2,6]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[3,6]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[4,6]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[5,6]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[6,6]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[1],[6]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[2],[6]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[3],[6]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[4],[6]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[5],[6]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[1,1,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,2,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,3,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,4,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,5,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,2,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,3,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,4,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,5,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,3,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,4,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,5,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4,4,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4,5,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[5,5,5]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,1],[5]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,2],[5]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,5],[2]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,3],[5]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,5],[3]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,4],[5]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,5],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,5],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,2],[5]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,3],[5]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,5],[3]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,4],[5]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,5],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,5],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,3],[5]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,4],[5]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,5],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,5],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,4],[5]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,5],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1],[2],[5]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1],[3],[5]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1],[4],[5]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[2],[3],[5]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[2],[4],[5]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[3],[4],[5]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1,1,1,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,2,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,3,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,4,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,2,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,3,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,4,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,3,3,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,3,4,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,4,4,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,2,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,3,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,4,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,3,3,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,3,4,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,4,4,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,3,3,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,3,4,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,4,4,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[4,4,4,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,1],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,2],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,4],[2]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,3],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,4],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,4],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,2],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,4],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,3],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,4],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,4],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,4],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,4],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,3],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,4],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,4],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,4],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,4],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,2],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,3],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,4],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,4],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,3],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,4],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,4],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,4],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,4],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,3],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,4],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,4,4],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1],[2,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[3,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[4,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[2,4]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[3,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[2,4]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[4,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[3,4]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[4,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,2],[3,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,2],[4,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,3],[3,4]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,3],[4,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,3],[4,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[2],[4]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,1],[3],[4]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,2],[2],[4]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,2],[3],[4]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,3],[2],[4]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,4],[2],[3]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,4],[2],[4]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,3],[3],[4]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,4],[3],[4]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,2],[3],[4]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,3],[3],[4]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,4],[3],[4]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1],[2],[3],[4]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[1,1,1,1,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,3,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,3,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,3,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,3,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,3,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,3,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,3,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,3,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,3,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,3,3]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1],[3]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,2],[3]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,3],[2]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,3],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,2],[3]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,3],[2]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,3],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,3],[2]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,3],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,2],[3]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,3],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,3],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,3],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,3],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,3],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,3],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,2],[3]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,3],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,3,3],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,3,3],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1],[2,3]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,1],[3,3]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,2],[2,3]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,3],[2,2]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,2],[3,3]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,3],[2,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,3],[3,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,2],[2,3]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,2],[3,3]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,3],[2,3]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,3],[3,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,2],[3,3]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,3],[3,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,1],[2],[3]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,2],[2],[3]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,3],[2],[3]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,2],[2],[3]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,3],[2],[3]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,3],[2],[3]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1],[2,2],[3]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2,3],[3]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[2,3],[3]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1,1,1,1,2]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,2,2]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,2,2]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,2,2]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,2,2]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,2,2]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,1],[2]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,2],[2]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,2],[2]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,2],[2]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,2],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1],[2,2]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,2],[2,2]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,2],[2,2]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1],[2,2,2]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,7]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[2,7]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[3,7]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[4,7]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[5,7]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[6,7]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[7,7]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[1],[7]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[2],[7]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[3],[7]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[4],[7]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[5],[7]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[6],[7]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[1,1,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,2,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,3,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,4,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,5,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,2,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,3,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,4,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,5,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,3,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,4,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,5,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4,4,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4,5,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[5,5,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[5,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[6,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,1],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,2],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,6],[2]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,3],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,6],[3]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,4],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,6],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,5],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,6],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,6],[6]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,2],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,3],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,6],[3]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,4],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,6],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,5],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,6],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,6],[6]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,3],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,4],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,6],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,5],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,6],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,6],[6]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,4],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,5],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,6],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,6],[6]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[5,5],[6]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[5,6],[6]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1],[2],[6]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1],[3],[6]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1],[4],[6]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1],[5],[6]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[2],[3],[6]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[2],[4],[6]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[2],[5],[6]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[3],[4],[6]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[3],[5],[6]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[4],[5],[6]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1,1,1,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,2,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,3,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,4,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,2,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,3,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,4,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,3,3,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,3,4,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,3,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,4,4,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,4,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,5,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,2,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,3,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,4,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,3,3,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,3,4,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,3,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,4,4,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,4,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,5,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,3,3,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,3,4,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,3,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,4,4,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,4,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,5,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[4,4,4,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[4,4,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[4,5,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[5,5,5,5]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,1],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,2],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,5],[2]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,3],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,5],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,4],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,5],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,5],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,2],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,5],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,3],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,5],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,5],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,4],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,5],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,5],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,5],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,5,5],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,3],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,5],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,4],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,5],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,5],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,5],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,5,5],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,4],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,5],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,5],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,5,5],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,5,5],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,2],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,3],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,5],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,4],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,5],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,5],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,3],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,5],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,4],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,5],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,5],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,5],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,5,5],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,4],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,5],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,5],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,5,5],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,5,5],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,3],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,4],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,5],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,5],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,4,4],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,4,5],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,4,5],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,5,5],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,5,5],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,4,4],[5]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,4,5],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,5,5],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1],[2,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[3,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[4,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[5,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[2,5]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[3,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[2,5]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[4,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,4],[2,5]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[5,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[3,5]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[4,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,4],[3,5]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[5,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,4],[4,5]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,4],[5,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,2],[3,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,2],[4,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,2],[5,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,3],[3,5]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,3],[4,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,4],[3,5]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,3],[5,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,4],[4,5]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,4],[5,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,3],[4,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,3],[5,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,4],[4,5]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,4],[5,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[4,4],[5,5]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[2],[5]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,1],[3],[5]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,1],[4],[5]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,2],[2],[5]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,2],[3],[5]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,3],[2],[5]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,5],[2],[3]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,2],[4],[5]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,4],[2],[5]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,5],[2],[4]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,5],[2],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,3],[3],[5]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,3],[4],[5]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,4],[3],[5]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,5],[3],[4]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,5],[3],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,4],[4],[5]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,5],[4],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,2],[3],[5]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,2],[4],[5]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,3],[3],[5]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,3],[4],[5]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,4],[3],[5]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,5],[3],[4]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,5],[3],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,4],[4],[5]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,5],[4],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,3],[4],[5]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,4],[4],[5]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,5],[4],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1],[2],[3],[5]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[1],[2],[4],[5]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[1],[3],[4],[5]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[2],[3],[4],[5]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[1,1,1,1,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,3,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,3,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,3,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,4,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,3,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,3,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,4,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,3,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,4,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,4,4,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,3,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,3,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,4,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,3,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,4,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,4,4,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,3,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,4,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,4,4,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[4,4,4,4,4]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,2],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,4],[2]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,3],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,4],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,4],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,2],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,4],[2]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,3],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,4],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,4],[2]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,4],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,4,4],[2]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,3],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,4],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,4],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,4,4],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,4,4],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,2],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,4],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,3],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,4],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,4],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,4],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,4,4],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,3],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,4],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,4],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,4],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,4,4],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,4,4],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,4,4],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,4,4],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,3],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,4],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,4],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,4,4],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,4,4],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,4,4],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,4,4],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,2],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,3],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,4],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,4],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,3,3],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,3,4],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,3,4],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,4,4],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,4,4],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,3,3],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,3,4],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,3,4],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,4,4],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,4,4],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,4,4,4],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,4,4,4],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,3,3],[4]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,3,4],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,4,4],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,4,4,4],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1],[2,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,1],[3,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,1],[4,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,2],[2,4]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,4],[2,2]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,2],[3,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,3],[2,4]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,4],[2,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,2],[4,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,4],[2,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,3],[3,4]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,4],[3,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,3],[4,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,4],[3,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,4],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,2],[2,4]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,2],[3,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,3],[2,4]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,4],[2,3]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,2],[4,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,4],[2,4]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,3],[3,4]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,4],[3,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,3],[2,4]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,3],[4,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,4],[3,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,4],[2,4]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,4],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,3],[3,4]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,3],[4,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,4],[3,4]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,4],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,2],[3,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,2],[4,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,3],[3,4]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,4],[3,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,3],[4,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,4],[3,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,4],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,3],[3,4]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,3],[4,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,4],[3,4]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,4],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,3,3],[4,4]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,3,4],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,1],[2],[4]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,1],[3],[4]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,2],[2],[4]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,2],[3],[4]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,3],[2],[4]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,4],[2],[3]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,4],[2],[4]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,3],[3],[4]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,4],[3],[4]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,2],[2],[4]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,2],[3],[4]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,3],[2],[4]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,4],[2],[3]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,4],[2],[4]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,3],[3],[4]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,3],[2],[4]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,4],[2],[3]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,4],[3],[4]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,4],[2],[4]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,4],[2],[3]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,4],[2],[4]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,3],[3],[4]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,4],[3],[4]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,4],[3],[4]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,2],[3],[4]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,3],[3],[4]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,4],[3],[4]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,3,3],[3],[4]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,3,4],[3],[4]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,4,4],[3],[4]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1],[2,2],[4]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2,3],[4]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2,4],[3]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2,4],[4]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[3,3],[4]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[3,4],[4]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[2,3],[4]] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[2,4],[3]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[2,4],[4]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[3,3],[4]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[2,4],[3]] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[3,4],[4]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[2,4],[4]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[3,4],[4]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,2],[3,3],[4]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,2],[3,4],[4]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,3],[3,4],[4]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2],[3],[4]] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,2],[2],[3],[4]] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,3],[2],[3],[4]] => [5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,4],[2],[3],[4]] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,1,1,1,1,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,2,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,2,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,3,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,2,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,3,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,3,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,2,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,3,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,3,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,3,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,2,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,3,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,3,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,3,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,3,3,3]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,1],[3]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,2],[3]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,3],[2]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,3],[3]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,2],[3]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,3],[2]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,3],[3]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,3,3],[2]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,3,3],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,2],[3]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,3],[2]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,3],[3]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,3,3],[2]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,3,3],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,3,3],[2]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,3,3],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,2],[3]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,3],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,3],[3]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,3,3],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,3,3],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,3,3],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,3,3],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,3,3],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,3,3],[3]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,2,2],[3]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,2,3],[3]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,3,3],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,3,3,3],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,3,3,3,3],[3]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1],[2,3]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,1],[3,3]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,2],[2,3]] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,3],[2,2]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,2],[3,3]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,3],[2,3]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,3],[3,3]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,2],[2,3]] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,3],[2,2]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,2],[3,3]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,3],[2,3]] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,3],[2,2]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,3],[3,3]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,3],[2,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,3],[3,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,2],[2,3]] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,2],[3,3]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,3],[2,3]] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,3],[3,3]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,3],[2,3]] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,3],[3,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,2,2],[3,3]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,2,3],[3,3]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,3,3],[3,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,1],[2],[3]] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1,2],[2],[3]] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1,3],[2],[3]] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,2,2],[2],[3]] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,2,3],[2],[3]] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,3,3],[2],[3]] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,2,2],[2],[3]] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,2,3],[2],[3]] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,3,3],[2],[3]] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,3,3],[2],[3]] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1],[2,2,3]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,1],[2,3,3]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,1],[3,3,3]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,2],[2,2,3]] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,2],[2,3,3]] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,2],[3,3,3]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,2],[2,3,3]] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,2],[3,3,3]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[2,2,2],[3,3,3]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,1],[2,2],[3]] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,1],[2,3],[3]] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,2],[2,2],[3]] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,2],[2,3],[3]] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,3],[2,2],[3]] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,3],[2,3],[3]] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,2],[2,3],[3]] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,3],[2,3],[3]] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1],[2,2],[3,3]] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,1,1,1,1,1,2]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,1,2,2]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,2,2,2]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,2,2,2]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,2,2,2]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,2,2,2]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,2,2,2]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,1,1],[2]] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,1,2],[2]] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,2,2],[2]] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,2,2],[2]] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,2,2],[2]] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,2,2],[2]] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,1],[2,2]] => [6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,1,2],[2,2]] => [5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,2,2],[2,2]] => [4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,2,2,2],[2,2]] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,1],[2,2,2]] => [5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,2],[2,2,2]] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,8]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[2,8]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[3,8]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[4,8]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[5,8]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[6,8]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[7,8]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[8,8]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[1],[8]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[2],[8]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[3],[8]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[4],[8]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[5],[8]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[6],[8]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[7],[8]] => [2,1] => [[.,.],.] => [1,1,0,0] => 1
[[1,1,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,2,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,3,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,4,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,5,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,2,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,3,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,4,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,5,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[2,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,3,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,4,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,5,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[3,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4,4,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4,5,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[5,5,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[5,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[5,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[6,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[6,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[7,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[1,1],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,2],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,7],[2]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,3],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,7],[3]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,4],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,7],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,5],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,7],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,7],[6]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,2],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,3],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,7],[3]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,4],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,7],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,5],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,7],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,7],[6]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[2,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,3],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,4],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,7],[4]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,5],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,7],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,7],[6]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[3,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,4],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,5],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,7],[5]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,7],[6]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[4,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[5,5],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[5,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[5,7],[6]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[5,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[6,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[6,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[[1],[2],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1],[3],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1],[4],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1],[5],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1],[6],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[2],[3],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[2],[4],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[2],[5],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[2],[6],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[3],[4],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[3],[5],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[3],[6],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[4],[5],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[4],[6],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[5],[6],[7]] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 3
[[1,1,1,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,2,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,3,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,4,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,2,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,3,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,4,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,2,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,3,3,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,3,4,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,3,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,3,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,4,4,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,4,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,4,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,5,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,5,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,6,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,2,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,3,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,4,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,2,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,3,3,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,3,4,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,3,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,3,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,4,4,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,4,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,4,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,5,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,5,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[2,6,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,3,3,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,3,4,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,3,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,3,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,4,4,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,4,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,4,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,5,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,5,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[3,6,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[4,4,4,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[4,4,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[4,4,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[4,5,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[4,5,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[4,6,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[5,5,5,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[5,5,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[5,6,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[6,6,6,6]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[1,1,1],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,2],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,6],[2]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,3],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,6],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,4],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,6],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,6],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,2],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,6],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,3],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,6],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,6],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,4],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,6],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,6],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,6],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,5,6],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,2,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,6,6],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,3],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,6],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,4],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,6],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,6],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,6],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,5,6],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,3,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,6,6],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,4],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,6],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,6],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,5,6],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,4,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,6,6],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,5,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,5,6],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,5,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,6,6],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,6,6],[6]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,2],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,3],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,6],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,4],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,6],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,6],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,2,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,3],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,6],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,4],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,6],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,6],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,6],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,5,6],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,3,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,6,6],[3]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,4],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,6],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,6],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,5,6],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,4,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,6,6],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,5,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,5,6],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,5,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,6,6],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[2,6,6],[6]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,3],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,4],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,6],[4]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,6],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,3,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,4,4],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,4,6],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,4,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,4,6],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,5,6],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,4,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,6,6],[4]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,5,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,5,6],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,5,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,6,6],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[3,6,6],[6]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,4,4],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,4,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,4,6],[5]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,4,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,5,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,5,6],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,5,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,6,6],[5]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[4,6,6],[6]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[5,5,5],[6]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[5,5,6],[6]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[5,6,6],[6]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 1
[[1,1],[2,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[3,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[4,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[5,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[2,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[3,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[2,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[4,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,4],[2,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[5,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,5],[2,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,2],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[3,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[4,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,4],[3,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[5,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,5],[3,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,3],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,4],[4,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,4],[5,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,5],[4,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,4],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,5],[5,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,5],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,2],[3,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,2],[4,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,2],[5,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,2],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,3],[3,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,3],[4,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,4],[3,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,3],[5,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,5],[3,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,3],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,4],[4,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,4],[5,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,5],[4,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,4],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,5],[5,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[2,5],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,3],[4,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,3],[5,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,3],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,4],[4,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,4],[5,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,5],[4,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,4],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,5],[5,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[3,5],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[4,4],[5,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[4,4],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[4,5],[5,6]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[4,5],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[5,5],[6,6]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[[1,1],[2],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,1],[3],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,1],[4],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,1],[5],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,2],[2],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,2],[3],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,3],[2],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,6],[2],[3]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,2],[4],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,4],[2],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,6],[2],[4]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,2],[5],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,5],[2],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,6],[2],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,6],[2],[6]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,3],[3],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,3],[4],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,4],[3],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,6],[3],[4]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,3],[5],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,5],[3],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,6],[3],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,6],[3],[6]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,4],[4],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,4],[5],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,5],[4],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,6],[4],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,6],[4],[6]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,5],[5],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1,6],[5],[6]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,2],[3],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,2],[4],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,2],[5],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,3],[3],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,3],[4],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,4],[3],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,6],[3],[4]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,3],[5],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,5],[3],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,6],[3],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,6],[3],[6]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,4],[4],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,4],[5],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,5],[4],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,6],[4],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,6],[4],[6]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,5],[5],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[2,6],[5],[6]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,3],[4],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,3],[5],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,4],[4],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,4],[5],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,5],[4],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,6],[4],[5]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,6],[4],[6]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,5],[5],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[3,6],[5],[6]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[4,4],[5],[6]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[4,5],[5],[6]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[4,6],[5],[6]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 3
[[1],[2],[3],[6]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[1],[2],[4],[6]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[1],[2],[5],[6]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[1],[3],[4],[6]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[1],[3],[5],[6]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[1],[4],[5],[6]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[2],[3],[4],[6]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[2],[3],[5],[6]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[2],[4],[5],[6]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[3],[4],[5],[6]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 6
[[1,1,1,1,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,3,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,3,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,3,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,4,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,4,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,3,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,3,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,4,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,4,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,3,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,4,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,4,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,4,4,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,4,4,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,4,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,5,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,3,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,3,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,4,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,4,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,3,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,4,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,4,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,4,4,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,4,4,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,4,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[2,5,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,3,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,4,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,4,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,4,4,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,4,4,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,4,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[3,5,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[4,4,4,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[4,4,4,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[4,4,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[4,5,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[5,5,5,5,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,2],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,5],[2]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,3],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,5],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,2],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,5],[2]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,3],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,5],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,5],[2]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,4,5],[2]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,2,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,5,5],[2]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,3],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,4,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,3,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,5,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,4,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,4,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,4,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,5,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,5,5],[5]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,2],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,3],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,5],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,4,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,2,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,5,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,3],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,4,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,4,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,3,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,5,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,5,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,4,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,4,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,4,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,4,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,5,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,5,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,2,5,5],[5]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,5,5,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,3],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,4,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,3,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,5,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,4,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,4,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,4,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,4,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,5,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,5,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,3,5,5],[5]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,5,5,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,4,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,4,5],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,4,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,5,5],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,4,5,5],[5]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,5,5,5],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,5,5,5],[5]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,2],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,3],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,5],[3]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,2,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,3,3],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,3,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,3,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,3,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,4,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,3,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,5,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,4,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,4,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,4,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,5,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,2,5,5],[5]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,3,3],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,3,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,3,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,3,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,4,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,3,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,5,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,4,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,4,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,4,4,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,4,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,5,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,4,5,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,3,5,5],[5]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,5,5,5],[3]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,4,4,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,4,4,5],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,4,4,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,4,5,5],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,4,5,5],[5]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,5,5,5],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[2,5,5,5],[5]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,3,3],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,3,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,3,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,3,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,4,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,4,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,4,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,5,5],[4]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,3,5,5],[5]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,4,4,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,4,4,5],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,4,4,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,4,5,5],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,4,5,5],[5]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,5,5,5],[4]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[3,5,5,5],[5]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[4,4,4,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[4,4,4,5],[5]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[4,4,5,5],[5]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[4,5,5,5],[5]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 1
[[1,1,1],[2,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,1],[3,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,1],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,1],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,2],[2,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,5],[2,2]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,2],[3,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,3],[2,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,5],[2,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,2],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,4],[2,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,5],[2,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,2],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,5],[2,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,3],[3,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,5],[3,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,3],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,4],[3,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,5],[3,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,3],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,5],[3,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,4],[4,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,5],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,4],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,5],[4,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,5],[5,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,2],[2,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,2],[3,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,3],[2,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,5],[2,3]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,2],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,4],[2,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,5],[2,4]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,2],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,5],[2,5]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,3],[3,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,5],[3,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,3],[2,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,3],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,4],[3,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,5],[3,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,4],[2,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,5],[2,4]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,3],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,5],[3,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,5],[2,5]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,4],[4,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,5],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,4,4],[2,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,4],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,5],[4,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,4,5],[2,5]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,2,5],[5,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,3],[3,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,3],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,4],[3,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,5],[3,4]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,3],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,5],[3,5]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,4],[4,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,5],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,4,4],[3,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,4],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,5],[4,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,4,5],[3,5]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,3,5],[5,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,4,4],[4,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,4,4],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,4,5],[4,5]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,4,5],[5,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,2],[3,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,2],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,2],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,3],[3,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,5],[3,3]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,3],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,4],[3,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,5],[3,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,3],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,5],[3,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,4],[4,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,5],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,4],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,5],[4,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,2,5],[5,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,3],[3,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,3],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,4],[3,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,5],[3,4]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,3],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,5],[3,5]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,4],[4,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,5],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,4,4],[3,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,4],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,5],[4,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,4,5],[3,5]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,3,5],[5,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,4,4],[4,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,4,4],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,4,5],[4,5]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[2,4,5],[5,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,3,3],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,3,3],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,3,4],[4,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,3,5],[4,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,3,4],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,3,5],[4,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,3,5],[5,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,4,4],[4,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,4,4],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,4,5],[4,5]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[3,4,5],[5,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[4,4,4],[5,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[4,4,5],[5,5]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 2
[[1,1,1],[2],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,1],[3],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,1],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,2],[2],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,2],[3],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,3],[2],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,5],[2],[3]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,2],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,4],[2],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,5],[2],[4]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,5],[2],[5]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,3],[3],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,3],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,4],[3],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,5],[3],[4]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,5],[3],[5]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,4],[4],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1,5],[4],[5]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,2],[2],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,2],[3],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,3],[2],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,5],[2],[3]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,2],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,4],[2],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,5],[2],[4]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,5],[2],[5]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,3],[3],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,3],[2],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,5],[2],[3]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,3],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,4],[3],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,5],[3],[4]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,4],[2],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,5],[2],[4]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,5],[2],[3]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,5],[3],[5]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,5],[2],[5]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,5,5],[2],[3]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,4],[4],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,4],[2],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,5],[2],[4]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,2,5],[4],[5]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,5],[2],[5]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,5,5],[2],[4]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,5,5],[2],[5]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,3],[3],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,3],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,4],[3],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,5],[3],[4]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,5],[3],[5]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,4],[4],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,4],[3],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,5],[3],[4]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,3,5],[4],[5]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,5],[3],[5]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,5,5],[3],[4]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,5,5],[3],[5]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,4],[4],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,4,5],[4],[5]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,5,5],[4],[5]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,2],[3],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,2],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,3],[3],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,3],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,4],[3],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,5],[3],[4]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,5],[3],[5]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,4],[4],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,2,5],[4],[5]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,3,3],[3],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,3,3],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,3,4],[3],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,3,5],[3],[4]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,3,5],[3],[5]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,3,4],[4],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,4,4],[3],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,4,5],[3],[4]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,3,5],[4],[5]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,4,5],[3],[5]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,5,5],[3],[4]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,5,5],[3],[5]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,4,4],[4],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,4,5],[4],[5]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[2,5,5],[4],[5]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[3,3,3],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[3,3,4],[4],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[3,3,5],[4],[5]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[3,4,4],[4],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[3,4,5],[4],[5]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[3,5,5],[4],[5]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 3
[[1,1],[2,2],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2,3],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2,5],[3]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2,5],[4]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2,5],[5]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[3,3],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[3,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[3,5],[4]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[3,5],[5]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[4,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[4,5],[5]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[2,3],[5]] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[2,5],[3]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[2,4],[5]] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[2,5],[4]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[2,5],[5]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[3,3],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[2,5],[3]] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[3,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[3,5],[4]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[2,4],[5]] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[2,5],[4]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,4],[2,5],[3]] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[3,5],[5]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[2,5],[5]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[4,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,4],[2,5],[4]] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,2],[4,5],[5]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,4],[2,5],[5]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[3,4],[5]] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[3,5],[4]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[3,5],[5]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[4,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,4],[3,5],[4]] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,3],[4,5],[5]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,4],[3,5],[5]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,4],[4,5],[5]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,2],[3,3],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,2],[3,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,2],[3,5],[4]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,2],[3,5],[5]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,2],[4,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,2],[4,5],[5]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,3],[3,4],[5]] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,3],[3,5],[4]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,3],[3,5],[5]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,3],[4,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,4],[3,5],[4]] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,3],[4,5],[5]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,4],[3,5],[5]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[2,4],[4,5],[5]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[3,3],[4,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[3,3],[4,5],[5]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[3,4],[4,5],[5]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[[1,1],[2],[3],[5]] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,1],[2],[4],[5]] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,1],[3],[4],[5]] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,2],[2],[3],[5]] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,2],[2],[4],[5]] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,3],[2],[3],[5]] => [5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,2],[3],[4],[5]] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,3],[2],[4],[5]] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,4],[2],[3],[5]] => [5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,5],[2],[3],[4]] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,5],[2],[3],[5]] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,4],[2],[4],[5]] => [5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,5],[2],[4],[5]] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,3],[3],[4],[5]] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,4],[3],[4],[5]] => [5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1,5],[3],[4],[5]] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[2,2],[3],[4],[5]] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[2,3],[3],[4],[5]] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[2,4],[3],[4],[5]] => [5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[2,5],[3],[4],[5]] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 6
[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,1,1,1,1,0,0,0,0,0] => 10
[[1,1,1,1,1,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,2,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,2,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,3,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,3,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,2,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,3,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,3,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,3,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,3,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,4,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,2,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,3,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,3,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,3,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,3,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,4,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,3,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,3,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,4,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,4,4,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,2,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,3,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,3,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,3,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,3,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,4,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,3,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,3,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,4,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,4,4,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,3,3,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,3,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,4,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[3,4,4,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[4,4,4,4,4,4]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,1],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,2],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,4],[2]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,4],[3]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,2],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,4],[2]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,4],[3]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,3,4],[2]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,4,4],[2]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,3,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,3,4],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,3,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,4,4],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,4,4],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,2],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,4],[2]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,4],[3]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,3,4],[2]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,4,4],[2]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,3,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,3,4],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,3,4],[2]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,3,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,4,4],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,4,4],[2]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,4,4],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,4,4,4],[2]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,3,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,3,4],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,3,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,4,4],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,4,4],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,4,4,4],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,4,4,4],[4]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,2],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,4],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,4],[3]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,3,4],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,4,4],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,3,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,3,4],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,3,4],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,3,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,4,4],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,4,4],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,4,4],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,4,4,4],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,3,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,3,4],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,3,4],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,3,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,4,4],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,4,4],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,4,4],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,4,4,4],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,4,4,4],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,4,4,4],[4]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,4,4,4,4],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,3,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,3,4],[3]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,3,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,4,4],[3]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,4,4],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,4,4,4],[3]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,4,4,4],[4]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,4,4,4,4],[3]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,4,4,4,4],[4]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,2,2],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,2,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,2,4],[3]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,2,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,3,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,3,4],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,3,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,4,4],[3]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,4,4],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,3,3,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,3,3,4],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,3,3,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,3,4,4],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,3,4,4],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,4,4,4],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,2,4,4,4],[4]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,3,3,3,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,3,3,3,4],[3]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,3,3,3,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,3,3,4,4],[3]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,3,3,4,4],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,3,4,4,4],[3]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,3,4,4,4],[4]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,4,4,4,4],[3]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[2,4,4,4,4],[4]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[3,3,3,3,3],[4]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[3,3,3,3,4],[4]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[3,3,3,4,4],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[3,3,4,4,4],[4]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[3,4,4,4,4],[4]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1],[2,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,1],[3,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,1],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,2],[2,4]] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,4],[2,2]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,2],[3,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,3],[2,4]] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,4],[2,3]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,2],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,4],[2,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,3],[3,4]] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,4],[3,3]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,3],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,4],[3,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,4],[4,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,2],[2,4]] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,4],[2,2]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,2],[3,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,3],[2,4]] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,4],[2,3]] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,4],[2,2]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,2],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,4],[2,4]] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,4,4],[2,2]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,3],[3,4]] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,4],[3,3]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,3],[2,4]] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,4],[2,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,3],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,4],[3,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,4],[2,4]] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,4,4],[2,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,2,4],[4,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,4,4],[2,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,3],[3,4]] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,4],[3,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,3],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,4],[3,4]] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,4,4],[3,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,3,4],[4,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,4,4],[3,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,4,4],[4,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,2],[2,4]] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,2],[3,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,3],[2,4]] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,4],[2,3]] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,2],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,4],[2,4]] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,3],[3,4]] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,4],[3,3]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,3],[2,4]] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,4],[2,3]] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,3],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,4],[3,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,4],[2,4]] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,4,4],[2,3]] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,2,4],[4,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,4,4],[2,4]] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,3],[3,4]] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,4],[3,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,3,3],[2,4]] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,3],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,4],[3,4]] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,4,4],[3,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,3,4],[2,4]] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,4],[4,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,4,4],[3,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,4,4],[2,4]] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,4,4],[4,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,3,3],[3,4]] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,3,3],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,3,4],[3,4]] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,3,4],[4,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,4,4],[3,4]] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,4,4],[4,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,2,2],[3,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,2,2],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,2,3],[3,4]] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,2,4],[3,3]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,2,3],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,2,4],[3,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,2,4],[4,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,3,3],[3,4]] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,3,4],[3,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,3,3],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,3,4],[3,4]] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,4,4],[3,3]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,3,4],[4,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,4,4],[3,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,2,4,4],[4,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,3,3,3],[3,4]] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,3,3,3],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,3,3,4],[3,4]] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,3,3,4],[4,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,3,4,4],[3,4]] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[2,3,4,4],[4,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[3,3,3,3],[4,4]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[3,3,3,4],[4,4]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[3,3,4,4],[4,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,1,1,1],[2],[4]] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1,1],[3],[4]] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1,2],[2],[4]] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1,2],[3],[4]] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1,3],[2],[4]] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1,4],[2],[3]] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1,4],[2],[4]] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1,3],[3],[4]] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1,4],[3],[4]] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,2,2],[2],[4]] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,2,2],[3],[4]] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,2,3],[2],[4]] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,2,4],[2],[3]] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,2,4],[2],[4]] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,2,3],[3],[4]] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,3,3],[2],[4]] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,3,4],[2],[3]] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,2,4],[3],[4]] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,3,4],[2],[4]] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,4,4],[2],[3]] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,4,4],[2],[4]] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,3,3],[3],[4]] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,3,4],[3],[4]] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,4,4],[3],[4]] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,2,2],[2],[4]] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,2,2],[3],[4]] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,2,3],[2],[4]] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,2,4],[2],[3]] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,2,4],[2],[4]] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,2,3],[3],[4]] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,3,3],[2],[4]] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,3,4],[2],[3]] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,2,4],[3],[4]] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,3,4],[2],[4]] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,4,4],[2],[3]] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,4,4],[2],[4]] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,3,3],[3],[4]] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,3,3],[2],[4]] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,3,4],[2],[3]] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,3,4],[3],[4]] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,3,4],[2],[4]] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,4,4],[2],[3]] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,4,4],[3],[4]] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,4,4],[2],[4]] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,4,4,4],[2],[3]] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,4,4,4],[2],[4]] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,3,3],[3],[4]] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,3,4],[3],[4]] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,4,4],[3],[4]] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,4,4,4],[3],[4]] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,2,2,2],[3],[4]] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,2,2,3],[3],[4]] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,2,2,4],[3],[4]] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,2,3,3],[3],[4]] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,2,3,4],[3],[4]] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,2,4,4],[3],[4]] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,3,3,3],[3],[4]] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,3,3,4],[3],[4]] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,3,4,4],[3],[4]] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,4,4,4],[3],[4]] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,1,1],[2,2,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,1],[2,3,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,1],[2,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,1],[3,3,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,1],[3,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,1],[4,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,2],[2,2,4]] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,2],[2,3,4]] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,3],[2,2,4]] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,2],[2,4,4]] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,2],[3,3,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,3],[2,3,4]] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,2],[3,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,3],[2,4,4]] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,2],[4,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,3],[3,3,4]] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,3],[3,4,4]] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,3],[4,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,2],[2,3,4]] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,2],[2,4,4]] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,2],[3,3,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,3],[2,3,4]] => [2,4,6,1,3,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,2],[3,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,3],[2,4,4]] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,2],[4,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,3],[3,3,4]] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,3],[3,4,4]] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,3,3],[2,4,4]] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,3],[4,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,3,3],[3,4,4]] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,3,3],[4,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[2,2,2],[3,3,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[2,2,2],[3,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[2,2,2],[4,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[2,2,3],[3,3,4]] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[2,2,3],[3,4,4]] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[2,2,3],[4,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[2,3,3],[3,4,4]] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[2,3,3],[4,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[3,3,3],[4,4,4]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,1,1],[2,2],[4]] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,1],[2,3],[4]] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,1],[2,4],[3]] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,1],[2,4],[4]] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,1],[3,3],[4]] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,1],[3,4],[4]] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,2],[2,2],[4]] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,2],[2,3],[4]] => [6,3,5,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,2],[2,4],[3]] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,3],[2,2],[4]] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,4],[2,2],[3]] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,2],[2,4],[4]] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,4],[2,2],[4]] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,2],[3,3],[4]] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,3],[2,3],[4]] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,3],[2,4],[3]] => [4,3,6,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,4],[2,3],[3]] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,2],[3,4],[4]] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,3],[2,4],[4]] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,4],[2,3],[4]] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,4],[2,4],[3]] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,4],[2,4],[4]] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,3],[3,3],[4]] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,3],[3,4],[4]] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,4],[3,3],[4]] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,4],[3,4],[4]] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,2],[2,3],[4]] => [6,2,5,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,2],[2,4],[3]] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,2],[2,4],[4]] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,2],[3,3],[4]] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,3],[2,3],[4]] => [6,2,4,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,3],[2,4],[3]] => [4,2,6,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,4],[2,3],[3]] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,2],[3,4],[4]] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,3],[2,4],[4]] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,4],[2,3],[4]] => [5,2,4,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,4],[2,4],[3]] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,4],[2,4],[4]] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,3],[3,3],[4]] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3,3],[2,4],[3]] => [3,2,6,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,3],[3,4],[4]] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,4],[3,3],[4]] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3,3],[2,4],[4]] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3,4],[2,4],[3]] => [3,2,5,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,4],[3,4],[4]] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3,4],[2,4],[4]] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3,3],[3,4],[4]] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3,4],[3,4],[4]] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[2,2,2],[3,3],[4]] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[2,2,2],[3,4],[4]] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[2,2,3],[3,3],[4]] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[2,2,3],[3,4],[4]] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[2,2,4],[3,3],[4]] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[2,2,4],[3,4],[4]] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[2,3,3],[3,4],[4]] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[2,3,4],[3,4],[4]] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,1,1],[2],[3],[4]] => [6,5,4,1,2,3] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,1,2],[2],[3],[4]] => [6,5,3,1,2,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,1,3],[2],[3],[4]] => [6,4,3,1,2,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,1,4],[2],[3],[4]] => [5,4,3,1,2,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,2,2],[2],[3],[4]] => [6,5,2,1,3,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,2,3],[2],[3],[4]] => [6,4,2,1,3,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,2,4],[2],[3],[4]] => [5,4,2,1,3,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,3,3],[2],[3],[4]] => [6,3,2,1,4,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,3,4],[2],[3],[4]] => [5,3,2,1,4,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,4,4],[2],[3],[4]] => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,1],[2,2],[3,4]] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,1],[2,2],[4,4]] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,1],[2,3],[3,4]] => [4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,1],[2,3],[4,4]] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,1],[3,3],[4,4]] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,2],[2,3],[3,4]] => [4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,2],[2,3],[4,4]] => [5,6,2,4,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,2],[3,3],[4,4]] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[2,2],[3,3],[4,4]] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,1],[2,2],[3],[4]] => [6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,1],[2,3],[3],[4]] => [6,4,3,5,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,1],[2,4],[3],[4]] => [5,4,3,6,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,2],[2,3],[3],[4]] => [6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,2],[2,4],[3],[4]] => [5,4,2,6,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,3],[2,4],[3],[4]] => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,1,1,1,1,1,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,1,2,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,1,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,2,2,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,2,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,2,2,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,2,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,2,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,3,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,2,2,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,2,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,2,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,2,3,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,2,2,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,2,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,2,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,2,3,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,2,2,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,2,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,2,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,2,3,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,2,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[2,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[3,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,1,1,1,1,1],[3]] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,1,2],[3]] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,1,3],[2]] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,1,3],[3]] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,2,2],[3]] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,2,3],[2]] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,2,3],[3]] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,3,3],[2]] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,3,3],[3]] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,2,2],[3]] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,2,3],[2]] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,2,3],[3]] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,3,3],[2]] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,3,3],[3]] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,3,3,3],[2]] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,3,3,3],[3]] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,2,3],[2]] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,2,3],[3]] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,3,3],[2]] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,3,3],[3]] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,3,3,3],[2]] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,3,3,3],[3]] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,3,3,3],[2]] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,3,3,3,3],[3]] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,2,3],[2]] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,2,3],[3]] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,3,3],[2]] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,3,3],[3]] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,3,3,3],[2]] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,3,3,3],[3]] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,3,3,3],[2]] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,3,3,3],[3]] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,3,3,3],[2]] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,3,3,3,3,3],[3]] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,2,2,3],[3]] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,2,3,3],[3]] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[2,2,2,3,3,3],[3]] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[2,2,3,3,3,3],[3]] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[2,3,3,3,3,3],[3]] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,1],[2,3]] => [6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,1,1],[3,3]] => [6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,1,2],[2,3]] => [5,7,1,2,3,4,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,1,3],[2,2]] => [5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,1,2],[3,3]] => [6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,1,3],[2,3]] => [5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,1,3],[3,3]] => [5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,2,2],[2,3]] => [4,7,1,2,3,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,2,3],[2,2]] => [4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,2,2],[3,3]] => [6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,2,3],[2,3]] => [4,6,1,2,3,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,3,3],[2,2]] => [4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,2,3],[3,3]] => [5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,3,3],[2,3]] => [4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,3,3],[3,3]] => [4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,2,2,2],[2,3]] => [3,7,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,2,2,3],[2,2]] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,2,2,3],[2,3]] => [3,6,1,2,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,2,3,3],[2,2]] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,2,2,3],[3,3]] => [5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,2,3,3],[2,3]] => [3,5,1,2,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,3,3,3],[2,2]] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,2,3,3],[3,3]] => [4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,3,3,3],[2,3]] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,3,3,3],[3,3]] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,2,2,2,2],[2,3]] => [2,7,1,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,2,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,2,2,2,3],[2,3]] => [2,6,1,3,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,2,2,2,3],[3,3]] => [5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,2,2,3,3],[2,3]] => [2,5,1,3,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,2,2,3,3],[3,3]] => [4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,2,3,3,3],[2,3]] => [2,4,1,3,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,2,3,3,3],[3,3]] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[2,2,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[2,2,2,2,3],[3,3]] => [5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[2,2,2,3,3],[3,3]] => [4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[2,2,3,3,3],[3,3]] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,1,1],[2],[3]] => [7,6,1,2,3,4,5] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,1,1,1,2],[2],[3]] => [7,5,1,2,3,4,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,1,1,1,3],[2],[3]] => [6,5,1,2,3,4,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,1,1,2,2],[2],[3]] => [7,4,1,2,3,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,1,1,2,3],[2],[3]] => [6,4,1,2,3,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,1,1,3,3],[2],[3]] => [5,4,1,2,3,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,1,2,2,2],[2],[3]] => [7,3,1,2,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,1,2,2,3],[2],[3]] => [6,3,1,2,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,1,2,3,3],[2],[3]] => [5,3,1,2,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,1,3,3,3],[2],[3]] => [4,3,1,2,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,2,2,2,2],[2],[3]] => [7,2,1,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,2,2,2,3],[2],[3]] => [6,2,1,3,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,2,2,3,3],[2],[3]] => [5,2,1,3,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,2,3,3,3],[2],[3]] => [4,2,1,3,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,3,3,3,3],[2],[3]] => [3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[[1,1,1,1],[2,2,3]] => [5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,1],[2,3,3]] => [5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,1],[3,3,3]] => [5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,2],[2,2,3]] => [4,5,7,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,3],[2,2,2]] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,2],[2,3,3]] => [4,6,7,1,2,3,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,3],[2,2,3]] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,2],[3,3,3]] => [5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,3],[2,3,3]] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,3],[3,3,3]] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,2,2],[2,2,3]] => [3,4,7,1,2,5,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,2,2],[2,3,3]] => [3,6,7,1,2,4,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,2,3],[2,2,3]] => [3,4,6,1,2,5,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,2,3],[2,3,3]] => [3,5,6,1,2,4,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,2,3],[3,3,3]] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,2,2,2],[2,3,3]] => [2,6,7,1,3,4,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,2,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,2,2,3],[2,3,3]] => [2,5,6,1,3,4,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,2,2,3],[3,3,3]] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[2,2,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[2,2,2,3],[3,3,3]] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[[1,1,1,1],[2,2],[3]] => [7,5,6,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,1,1],[2,3],[3]] => [6,5,7,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,1,2],[2,2],[3]] => [7,4,5,1,2,3,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,1,2],[2,3],[3]] => [6,4,7,1,2,3,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,1,3],[2,2],[3]] => [6,4,5,1,2,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,1,3],[2,3],[3]] => [5,4,6,1,2,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,2,2],[2,2],[3]] => [7,3,4,1,2,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,2,2],[2,3],[3]] => [6,3,7,1,2,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,2,3],[2,2],[3]] => [6,3,4,1,2,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,2,3],[2,3],[3]] => [5,3,6,1,2,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,3,3],[2,2],[3]] => [5,3,4,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,3,3],[2,3],[3]] => [4,3,5,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,2,2,2],[2,3],[3]] => [6,2,7,1,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,2,2,3],[2,3],[3]] => [5,2,6,1,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,2,3,3],[2,3],[3]] => [4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[[1,1,1],[2,2,2],[3]] => [7,4,5,6,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[[1,1,1],[2,2,3],[3]] => [6,4,5,7,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[[1,1,1],[2,3,3],[3]] => [5,4,6,7,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[[1,1,2],[2,2,3],[3]] => [6,3,4,7,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[[1,1,2],[2,3,3],[3]] => [5,3,6,7,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[[1,2,2],[2,3,3],[3]] => [5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[[1,1,1],[2,2],[3,3]] => [6,7,4,5,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 6
[[1,1,2],[2,2],[3,3]] => [6,7,3,4,1,2,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 6
[[1,1,3],[2,2],[3,3]] => [5,6,3,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 6
[[1,1,1,1,1,1,1,2]] => [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
[[1,1,1,1,1,1,2,2]] => [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
[[1,1,1,1,1,2,2,2]] => [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
[[1,1,1,1,2,2,2,2]] => [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
[[1,1,1,2,2,2,2,2]] => [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
[[1,1,2,2,2,2,2,2]] => [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
[[1,2,2,2,2,2,2,2]] => [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
[[2,2,2,2,2,2,2,2]] => [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
[[1,1,1,1,1,1,1],[2]] => [8,1,2,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,1,1,2],[2]] => [7,1,2,3,4,5,6,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,1,2,2],[2]] => [6,1,2,3,4,5,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,2,2,2],[2]] => [5,1,2,3,4,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,2,2,2,2],[2]] => [4,1,2,3,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,2,2,2,2,2],[2]] => [3,1,2,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,2,2,2,2,2,2],[2]] => [2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[[1,1,1,1,1,1],[2,2]] => [7,8,1,2,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,1,1,2],[2,2]] => [6,7,1,2,3,4,5,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[1,1,1,2,2,2],[2,2]] => [4,5,1,2,3,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[1,1,2,2,2,2],[2,2]] => [3,4,1,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[[1]] => [1] => [.,.] => [1,0] => 0
[[2]] => [1] => [.,.] => [1,0] => 0
[[1,1]] => [1,2] => [.,[.,.]] => [1,0,1,0] => 0
[[3]] => [1] => [.,.] => [1,0] => 0
[[1,1,1]] => [1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 0
[[4]] => [1] => [.,.] => [1,0] => 0
[[1,1,1,1]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 0
[[5]] => [1] => [.,.] => [1,0] => 0
[[1,1,1,1,1]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 0
[[6]] => [1] => [.,.] => [1,0] => 0
[[1,1,1,1,1,1]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,4,5,6]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 0
[[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 10
[[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 10
[[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 10
[[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 10
[[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 7
[[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 10
[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,1,1,1,1,1,0,0,0,0,0,0] => 15
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
$F_{(2, 2)} = 2 + q$
$F_{(2, 3)} = 3 + 2\ q$
$F_{(3, 2)} = 3 + 2\ q$
$F_{(2, 4)} = 4 + 3\ q$
$F_{(3, 3)} = 6 + 6\ q + q^{3}$
$F_{(4, 2)} = 4 + 3\ q + q^{2}$
$F_{(2, 5)} = 5 + 4\ q$
$F_{(3, 4)} = 10 + 12\ q + 3\ q^{3}$
$F_{(4, 3)} = 10 + 12\ q + 5\ q^{2} + 3\ q^{3}$
$F_{(5, 2)} = 5 + 4\ q + 2\ q^{2}$
$F_{(2, 6)} = 6 + 5\ q$
$F_{(3, 5)} = 15 + 20\ q + 6\ q^{3}$
$F_{(4, 4)} = 20 + 30\ q + 14\ q^{2} + 12\ q^{3} + q^{6}$
$F_{(5, 3)} = 15 + 20\ q + 13\ q^{2} + 6\ q^{3} + 3\ q^{4}$
$F_{(6, 2)} = 6 + 5\ q + 3\ q^{2} + q^{3}$
$F_{(2, 7)} = 7 + 6\ q$
$F_{(3, 6)} = 21 + 30\ q + 10\ q^{3}$
$F_{(4, 5)} = 35 + 60\ q + 30\ q^{2} + 30\ q^{3} + 4\ q^{6}$
$F_{(5, 4)} = 35 + 60\ q + 45\ q^{2} + 30\ q^{3} + 17\ q^{4} + 4\ q^{6}$
$F_{(6, 3)} = 21 + 30\ q + 24\ q^{2} + 19\ q^{3} + 8\ q^{4} + q^{6}$
$F_{(7, 2)} = 7 + 6\ q + 4\ q^{2} + 2\ q^{3}$
$F_{(2, 8)} = 8 + 7\ q$
$F_{(3, 7)} = 28 + 42\ q + 15\ q^{3}$
$F_{(4, 6)} = 56 + 105\ q + 55\ q^{2} + 60\ q^{3} + 10\ q^{6}$
$F_{(5, 5)} = 70 + 140\ q + 115\ q^{2} + 90\ q^{3} + 55\ q^{4} + 20\ q^{6} + q^{10}$
$F_{(6, 4)} = 56 + 105\ q + 99\ q^{2} + 100\ q^{3} + 56\ q^{4} + 19\ q^{6} + 6\ q^{7}$
$F_{(7, 3)} = 28 + 42\ q + 38\ q^{2} + 37\ q^{3} + 15\ q^{4} + 6\ q^{5} + 3\ q^{6}$
Description
The area of a Dyck path.
This is the number of complete squares in the integer lattice which are below the path and above the x-axis. The 'half-squares' directly above the axis do not contribute to this statistic.
1. Dyck paths are bijection with area sequences $(a_1,\ldots,a_n)$ such that $a_1 = 0, a_{k+1} \leq a_k + 1$.
2. The generating function $\mathbf{D}_n(q) = \sum_{D \in \mathfrak{D}_n} q^{\operatorname{area}(D)}$ satisfy the recurrence $$\mathbf{D}_{n+1}(q) = \sum q^k \mathbf{D}_k(q) \mathbf{D}_{n-k}(q).$$
3. The area is equidistributed with St000005The bounce statistic of a Dyck path. and St000006The dinv of a Dyck path.. Pairs of these statistics play an important role in the theory of $q,t$-Catalan numbers.
This is the number of complete squares in the integer lattice which are below the path and above the x-axis. The 'half-squares' directly above the axis do not contribute to this statistic.
1. Dyck paths are bijection with area sequences $(a_1,\ldots,a_n)$ such that $a_1 = 0, a_{k+1} \leq a_k + 1$.
2. The generating function $\mathbf{D}_n(q) = \sum_{D \in \mathfrak{D}_n} q^{\operatorname{area}(D)}$ satisfy the recurrence $$\mathbf{D}_{n+1}(q) = \sum q^k \mathbf{D}_k(q) \mathbf{D}_{n-k}(q).$$
3. The area is equidistributed with St000005The bounce statistic of a Dyck path. and St000006The dinv of a Dyck path.. Pairs of these statistics play an important role in the theory of $q,t$-Catalan numbers.
Map
to Dyck path: up step, left tree, down step, right tree
Description
Return the associated Dyck path, using the bijection 1L0R.
This is given recursively as follows:
This is given recursively as follows:
- a leaf is associated to the empty Dyck Word
- a tree with children $l,r$ is associated with the Dyck path described by 1L0R where $L$ and $R$ are respectively the Dyck words associated with the trees $l$ and $r$.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottommost row (in English notation).
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