Identifier
Values
[.,.] => [1,0] => [[1],[]] => ([],1) => 0
[.,[.,.]] => [1,0,1,0] => [[1,1],[]] => ([],1) => 0
[[.,.],.] => [1,1,0,0] => [[2],[]] => ([],1) => 0
[.,[.,[.,.]]] => [1,0,1,0,1,0] => [[1,1,1],[]] => ([],1) => 0
[.,[[.,.],.]] => [1,0,1,1,0,0] => [[2,1],[]] => ([],1) => 0
[[.,.],[.,.]] => [1,1,1,0,0,0] => [[2,2],[]] => ([],1) => 0
[[.,[.,.]],.] => [1,1,0,0,1,0] => [[2,2],[1]] => ([],1) => 0
[[[.,.],.],.] => [1,1,0,1,0,0] => [[3],[]] => ([],1) => 0
[.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => ([],1) => 0
[.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => ([],1) => 0
[.,[[.,.],[.,.]]] => [1,0,1,1,1,0,0,0] => [[2,2,1],[]] => ([],1) => 0
[.,[[.,[.,.]],.]] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => ([(0,1)],2) => 1
[.,[[[.,.],.],.]] => [1,0,1,1,0,1,0,0] => [[3,1],[]] => ([],1) => 0
[[.,.],[.,[.,.]]] => [1,1,1,0,0,0,1,0] => [[2,2,2],[1]] => ([],1) => 0
[[.,.],[[.,.],.]] => [1,1,1,0,0,1,0,0] => [[3,2],[]] => ([],1) => 0
[[.,[.,.]],[.,.]] => [1,1,1,0,1,0,0,0] => [[2,2,2],[]] => ([],1) => 0
[[[.,.],.],[.,.]] => [1,1,1,1,0,0,0,0] => [[3,3],[]] => ([],1) => 0
[[.,[.,[.,.]]],.] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => ([],1) => 0
[[.,[[.,.],.]],.] => [1,1,0,0,1,1,0,0] => [[3,2],[1]] => ([(0,1)],2) => 1
[[[.,.],[.,.]],.] => [1,1,0,1,1,0,0,0] => [[3,3],[1]] => ([],1) => 0
[[[.,[.,.]],.],.] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => ([],1) => 0
[[[[.,.],.],.],.] => [1,1,0,1,0,1,0,0] => [[4],[]] => ([],1) => 0
[.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => [[2,1,1,1],[]] => ([],1) => 0
[.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0] => [[2,2,1,1],[]] => ([],1) => 0
[.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1],[1]] => ([(0,1)],2) => 1
[.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => ([],1) => 0
[.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => [[2,2,2,1],[1]] => ([(0,1)],2) => 1
[.,[[.,.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0] => [[3,2,1],[]] => ([],1) => 0
[.,[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,0] => [[2,2,2,1],[]] => ([],1) => 0
[.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0] => [[3,3,1],[]] => ([],1) => 0
[.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1],[1,1]] => ([(0,1)],2) => 1
[.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,0] => [[3,3,1],[1]] => ([(0,1)],2) => 1
[.,[[[.,[.,.]],.],.]] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => ([(0,1)],2) => 1
[.,[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => ([],1) => 0
[[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => [[2,2,2,2],[1,1]] => ([],1) => 0
[[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => [[3,2,2],[1]] => ([(0,1)],2) => 1
[[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [[3,3,2],[1]] => ([(0,1)],2) => 1
[[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => [[3,3,2],[2]] => ([(0,1)],2) => 1
[[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [[4,2],[]] => ([],1) => 0
[[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [[2,2,2,2],[1]] => ([],1) => 0
[[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => [[3,2,2],[]] => ([],1) => 0
[[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [[3,3,3],[2]] => ([],1) => 0
[[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => [[4,3],[]] => ([],1) => 0
[[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => [[2,2,2,2],[]] => ([],1) => 0
[[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => [[3,3,2],[]] => ([],1) => 0
[[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [[3,3,3],[]] => ([],1) => 0
[[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => [[3,3,3],[1]] => ([],1) => 0
[[[[.,.],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0] => [[4,4],[]] => ([],1) => 0
[[.,[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => ([],1) => 0
[[.,[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => ([(0,1)],2) => 1
[[.,[[.,.],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0] => [[3,3,2],[1,1]] => ([(0,1)],2) => 1
[[.,[[.,[.,.]],.]],.] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => ([(0,2),(2,1)],3) => 2
[[.,[[[.,.],.],.]],.] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => ([(0,1)],2) => 1
[[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [[3,3,3],[2,1]] => ([],1) => 0
[[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => [[4,3],[1]] => ([(0,1)],2) => 1
[[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => [[3,3,3],[1,1]] => ([],1) => 0
[[[[.,.],.],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0] => [[4,4],[1]] => ([],1) => 0
[[[.,[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => ([],1) => 0
[[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => ([(0,1)],2) => 1
[[[[.,.],[.,.]],.],.] => [1,1,0,1,0,1,1,0,0,0] => [[4,4],[2]] => ([],1) => 0
[[[[.,[.,.]],.],.],.] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => ([],1) => 0
[[[[[.,.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0] => [[5],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[2,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[2,2,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1,1],[1]] => ([(0,1)],2) => 1
[.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[3,1,1,1],[]] => ([],1) => 0
[.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [[2,2,2,1,1],[1]] => ([(0,1)],2) => 1
[.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[3,2,1,1],[]] => ([],1) => 0
[.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[2,2,2,1,1],[]] => ([],1) => 0
[.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[3,3,1,1],[]] => ([],1) => 0
[.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1,1],[1,1]] => ([(0,2),(2,1)],3) => 2
[.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[3,2,1,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[3,3,1,1],[1]] => ([(0,1)],2) => 1
[.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [[3,3,1,1],[2]] => ([(0,1)],2) => 1
[.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[4,1,1],[]] => ([],1) => 0
[.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [[2,2,2,2,1],[1,1]] => ([(0,1)],2) => 1
[.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[3,2,2,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [[3,3,2,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [[3,3,2,1],[2]] => ([(0,2),(2,1)],3) => 2
[.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[4,2,1],[]] => ([],1) => 0
[.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [[2,2,2,2,1],[1]] => ([(0,1)],2) => 1
[.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[3,2,2,1],[]] => ([],1) => 0
[.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[3,3,3,1],[2]] => ([(0,1)],2) => 1
[.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[4,3,1],[]] => ([],1) => 0
[.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[2,2,2,2,1],[]] => ([],1) => 0
[.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[3,3,2,1],[]] => ([],1) => 0
[.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[3,3,3,1],[]] => ([],1) => 0
[.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [[3,3,3,1],[1]] => ([(0,1)],2) => 1
[.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[4,4,1],[]] => ([],1) => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2,1],[1,1,1]] => ([(0,1)],2) => 1
[.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[3,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[3,3,2,1],[1,1]] => ([(0,3),(2,1),(3,2)],4) => 3
[.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[3,3,2,1],[2,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [[4,2,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [[3,3,3,1],[2,1]] => ([(0,2),(2,1)],3) => 2
[.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [[4,3,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[3,3,3,1],[1,1]] => ([(0,1)],2) => 1
[.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[4,4,1],[1]] => ([(0,1)],2) => 1
>>> Load all 554 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [[3,3,3,1],[2,2]] => ([(0,1)],2) => 1
[.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [[4,3,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[4,4,1],[2]] => ([(0,1)],2) => 1
[.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [[4,4,1],[3]] => ([(0,1)],2) => 1
[.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[5,1],[]] => ([],1) => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[2,2,2,2,2],[1,1,1]] => ([],1) => 0
[[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[3,2,2,2],[1,1]] => ([(0,1)],2) => 1
[[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[3,3,2,2],[1,1]] => ([(0,2),(2,1)],3) => 2
[[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[3,3,2,2],[2,1]] => ([(0,3),(2,1),(3,2)],4) => 3
[[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[4,2,2],[1]] => ([(0,1)],2) => 1
[[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [[3,3,3,2],[2,1]] => ([(0,2),(2,1)],3) => 2
[[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[4,3,2],[1]] => ([(0,2),(2,1)],3) => 2
[[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[3,3,3,2],[1,1]] => ([(0,1)],2) => 1
[[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[4,4,2],[1]] => ([(0,1)],2) => 1
[[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[3,3,3,2],[2,2]] => ([(0,1)],2) => 1
[[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[4,3,2],[2]] => ([(0,3),(2,1),(3,2)],4) => 3
[[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[4,4,2],[2]] => ([(0,2),(2,1)],3) => 2
[[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[4,4,2],[3]] => ([(0,1)],2) => 1
[[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[5,2],[]] => ([],1) => 0
[[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[2,2,2,2,2],[1,1]] => ([],1) => 0
[[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[3,2,2,2],[1]] => ([(0,1)],2) => 1
[[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[3,3,2,2],[1]] => ([(0,1)],2) => 1
[[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[3,3,2,2],[2]] => ([(0,1)],2) => 1
[[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[4,2,2],[]] => ([],1) => 0
[[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[3,3,3,3],[2,2]] => ([],1) => 0
[[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[4,3,3],[2]] => ([(0,1)],2) => 1
[[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[4,4,3],[2]] => ([(0,1)],2) => 1
[[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[4,4,3],[3]] => ([(0,1)],2) => 1
[[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[5,3],[]] => ([],1) => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[2,2,2,2,2],[1]] => ([],1) => 0
[[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[3,2,2,2],[]] => ([],1) => 0
[[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [[3,3,3,2],[2]] => ([(0,1)],2) => 1
[[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[4,3,2],[]] => ([],1) => 0
[[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[3,3,3,3],[]] => ([],1) => 0
[[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[4,4,4],[]] => ([],1) => 0
[[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[3,3,3,3],[2,1]] => ([],1) => 0
[[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[4,3,3],[1]] => ([(0,1)],2) => 1
[[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[4,4,4],[3]] => ([],1) => 0
[[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[5,4],[]] => ([],1) => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[2,2,2,2,2],[]] => ([],1) => 0
[[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[3,3,2,2],[]] => ([],1) => 0
[[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[3,3,3,2],[]] => ([],1) => 0
[[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[3,3,3,2],[1]] => ([(0,1)],2) => 1
[[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[4,4,2],[]] => ([],1) => 0
[[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[3,3,3,3],[2]] => ([],1) => 0
[[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[4,3,3],[]] => ([],1) => 0
[[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3],[1]] => ([],1) => 0
[[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[4,4,3],[]] => ([],1) => 0
[[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[3,3,3,3],[1,1]] => ([],1) => 0
[[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[4,4,3],[1]] => ([(0,1)],2) => 1
[[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[4,4,4],[1]] => ([],1) => 0
[[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[4,4,4],[2]] => ([],1) => 0
[[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[5,5],[]] => ([],1) => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2],[1,1,1,1]] => ([],1) => 0
[[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2],[1,1,1]] => ([(0,1)],2) => 1
[[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[3,3,2,2],[1,1,1]] => ([(0,1)],2) => 1
[[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[.,[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[4,2,2],[1,1]] => ([(0,1)],2) => 1
[[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[3,3,3,2],[2,1,1]] => ([(0,2),(2,1)],3) => 2
[[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => [[4,3,2],[1,1]] => ([(0,2),(2,1)],3) => 2
[[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[3,3,3,2],[1,1,1]] => ([(0,1)],2) => 1
[[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[4,4,2],[1,1]] => ([(0,1)],2) => 1
[[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2],[2,2,1]] => ([(0,2),(2,1)],3) => 2
[[.,[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[4,3,2],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 3
[[.,[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[4,4,2],[2,1]] => ([(0,3),(2,1),(3,2)],4) => 3
[[.,[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => [[4,4,2],[3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[.,[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[5,2],[1]] => ([(0,1)],2) => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [[3,3,3,3],[2,2,1]] => ([],1) => 0
[[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => [[4,3,3],[2,1]] => ([(0,2),(2,1)],3) => 2
[[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[4,4,3],[2,1]] => ([(0,2),(2,1)],3) => 2
[[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [[4,4,3],[3,1]] => ([(0,2),(2,1)],3) => 2
[[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[5,3],[1]] => ([(0,1)],2) => 1
[[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [[3,3,3,3],[2,1,1]] => ([],1) => 0
[[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[4,3,3],[1,1]] => ([(0,1)],2) => 1
[[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [[4,4,4],[3,1]] => ([],1) => 0
[[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[5,4],[1]] => ([(0,1)],2) => 1
[[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[3,3,3,3],[1,1,1]] => ([],1) => 0
[[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[4,4,3],[1,1]] => ([(0,1)],2) => 1
[[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[4,4,4],[1,1]] => ([],1) => 0
[[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[4,4,4],[2,1]] => ([],1) => 0
[[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[5,5],[1]] => ([],1) => 0
[[[.,[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[3,3,3,3],[2,2,2]] => ([],1) => 0
[[[.,[.,[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[4,3,3],[2,2]] => ([(0,1)],2) => 1
[[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[4,4,3],[2,2]] => ([(0,1)],2) => 1
[[[.,[[.,[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => [[4,4,3],[3,2]] => ([(0,2),(2,1)],3) => 2
[[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[5,3],[2]] => ([(0,2),(2,1)],3) => 2
[[[[.,.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [[4,4,4],[3,2]] => ([],1) => 0
[[[[.,.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[5,4],[2]] => ([(0,1)],2) => 1
[[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[4,4,4],[2,2]] => ([],1) => 0
[[[[[.,.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[5,5],[2]] => ([],1) => 0
[[[[.,[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[4,4,4],[3,3]] => ([],1) => 0
[[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[5,4],[3]] => ([(0,1)],2) => 1
[[[[[.,.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[5,5],[3]] => ([],1) => 0
[[[[[.,[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[5,5],[4]] => ([],1) => 0
[[[[[[.,.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[6],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[2,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[2,2,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1,1,1],[1]] => ([(0,1)],2) => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[3,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[3,2,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[2,2,2,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[3,3,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1,1,1],[1,1]] => ([(0,2),(2,1)],3) => 2
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[3,2,1,1,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[3,3,1,1,1],[2]] => ([(0,1)],2) => 1
[.,[.,[.,[[[[.,.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[4,1,1,1],[]] => ([],1) => 0
[.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[4,2,1,1],[]] => ([],1) => 0
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[3,2,2,1,1],[]] => ([],1) => 0
[.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[4,3,1,1],[]] => ([],1) => 0
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[2,2,2,2,1,1],[]] => ([],1) => 0
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[3,3,2,1,1],[]] => ([],1) => 0
[.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[4,4,1,1],[]] => ([],1) => 0
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2,1,1],[1,1,1]] => ([(0,2),(2,1)],3) => 2
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[3,2,2,1,1],[1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[3,3,2,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[.,[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[4,2,1,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[3,3,3,1,1],[2,2]] => ([(0,2),(2,1)],3) => 2
[.,[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[4,3,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[.,[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[4,4,1,1],[3]] => ([(0,1)],2) => 1
[.,[.,[[[[[.,.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[5,1,1],[]] => ([],1) => 0
[.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[5,2,1],[]] => ([],1) => 0
[.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[4,2,2,1],[]] => ([],1) => 0
[.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[5,3,1],[]] => ([],1) => 0
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[3,2,2,2,1],[]] => ([],1) => 0
[.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[4,3,2,1],[]] => ([],1) => 0
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[3,3,3,3,1],[]] => ([],1) => 0
[.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[4,4,4,1],[]] => ([],1) => 0
[.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[5,4,1],[]] => ([],1) => 0
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[3,3,3,2,1],[]] => ([],1) => 0
[.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[4,4,2,1],[]] => ([],1) => 0
[.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[4,3,3,1],[]] => ([],1) => 0
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3,1],[1]] => ([(0,1)],2) => 1
[.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[4,4,3,1],[]] => ([],1) => 0
[.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[4,4,3,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[4,4,4,1],[1]] => ([(0,1)],2) => 1
[.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[4,4,4,1],[2]] => ([(0,1)],2) => 1
[.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[5,5,1],[]] => ([],1) => 0
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,1],[1,1,1,1]] => ([(0,1)],2) => 1
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,1],[1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[.,[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[4,2,2,1],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,1],[2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[.,[[.,[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[4,3,2,1],[2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 5
[.,[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[4,4,2,1],[3,1]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 4
[.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[5,2,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[4,4,4,1],[1,1]] => ([(0,1)],2) => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,1],[2,2,2]] => ([(0,1)],2) => 1
[.,[[[.,[.,[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[4,3,3,1],[2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
[.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[4,4,3,1],[3,2]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 4
[.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[5,3,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 3
[.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[4,4,4,1],[3,3]] => ([(0,1)],2) => 1
[.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[5,4,1],[3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[5,5,1],[4]] => ([(0,1)],2) => 1
[.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[6,1],[]] => ([],1) => 0
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[4,4,3,2],[2,1]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 4
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[5,3,2],[1]] => ([(0,2),(2,1)],3) => 2
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[4,3,3,2],[1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[5,4,2],[1]] => ([(0,2),(2,1)],3) => 2
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[3,3,3,3,2],[1,1,1]] => ([(0,1)],2) => 1
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[4,4,3,2],[1,1]] => ([(0,3),(2,1),(3,2)],4) => 3
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[4,4,4,2],[1,1]] => ([(0,1)],2) => 1
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[4,4,4,2],[2,1]] => ([(0,3),(2,1),(3,2)],4) => 3
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[5,5,2],[1]] => ([(0,1)],2) => 1
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[5,4,2],[2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[4,4,4,2],[2,2]] => ([(0,2),(2,1)],3) => 2
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[5,5,2],[2]] => ([(0,2),(2,1)],3) => 2
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[5,5,2],[3]] => ([(0,2),(2,1)],3) => 2
[[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[6,2],[]] => ([],1) => 0
[[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[4,3,2,2],[1]] => ([(0,2),(2,1)],3) => 2
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[3,3,3,2,2],[1,1]] => ([(0,2),(2,1)],3) => 2
[[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[4,4,2,2],[1]] => ([(0,1)],2) => 1
[[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[4,4,2,2],[2]] => ([(0,2),(2,1)],3) => 2
[[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[5,2,2],[]] => ([],1) => 0
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[5,4,3],[2]] => ([(0,3),(2,1),(3,2)],4) => 3
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[4,4,4,3],[2,2]] => ([(0,1)],2) => 1
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[5,5,3],[2]] => ([(0,2),(2,1)],3) => 2
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[5,5,3],[3]] => ([(0,2),(2,1)],3) => 2
[[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[6,3],[]] => ([],1) => 0
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[3,3,2,2,2],[1]] => ([(0,1)],2) => 1
[[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[4,2,2,2],[]] => ([],1) => 0
[[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[4,4,3,2],[2]] => ([(0,3),(2,1),(3,2)],4) => 3
[[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[5,3,2],[]] => ([],1) => 0
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[3,3,3,3,3],[]] => ([],1) => 0
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[4,4,4,3],[]] => ([],1) => 0
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[4,4,4,4],[]] => ([],1) => 0
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[4,4,4,4],[1]] => ([],1) => 0
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[5,5,5],[]] => ([],1) => 0
[[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[4,4,3,3],[2,1]] => ([(0,3),(2,1),(3,2)],4) => 3
[[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[5,3,3],[1]] => ([(0,1)],2) => 1
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[5,5,4],[3]] => ([(0,1)],2) => 1
[[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[6,4],[]] => ([],1) => 0
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[3,2,2,2,2],[]] => ([],1) => 0
[[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[4,3,2,2],[]] => ([],1) => 0
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[3,3,3,3,2],[]] => ([],1) => 0
[[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[4,4,4,2],[]] => ([],1) => 0
[[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[4,3,3,2],[1]] => ([(0,2),(2,1)],3) => 2
[[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[4,4,4,2],[3]] => ([(0,1)],2) => 1
[[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[5,4,2],[]] => ([],1) => 0
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[3,3,3,3,3],[2]] => ([],1) => 0
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[4,4,4,4],[3]] => ([],1) => 0
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[4,3,3,3],[]] => ([],1) => 0
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[5,4,4],[]] => ([],1) => 0
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[3,3,3,3,3],[1]] => ([],1) => 0
[[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[4,4,4,4],[2]] => ([],1) => 0
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[4,4,3,3],[]] => ([],1) => 0
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[5,5,4],[]] => ([],1) => 0
[[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[4,3,3,3],[1,1]] => ([(0,1)],2) => 1
[[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[4,4,4,3],[3,1]] => ([(0,2),(2,1)],3) => 2
[[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[5,4,3],[1]] => ([(0,2),(2,1)],3) => 2
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[4,4,4,4],[1,1]] => ([],1) => 0
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[5,5,5],[1]] => ([],1) => 0
[[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[4,4,4,4],[3,2]] => ([],1) => 0
[[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[5,4,4],[2]] => ([(0,1)],2) => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[5,5,5],[4]] => ([],1) => 0
[[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[6,5],[]] => ([],1) => 0
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[2,2,2,2,2,2],[]] => ([],1) => 0
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[3,3,2,2,2],[]] => ([],1) => 0
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[3,3,3,2,2],[]] => ([],1) => 0
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[3,3,3,2,2],[1]] => ([(0,1)],2) => 1
[[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[4,4,2,2],[]] => ([],1) => 0
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[3,3,3,3,2],[2]] => ([(0,1)],2) => 1
[[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[4,3,3,2],[]] => ([],1) => 0
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3,2],[1]] => ([(0,1)],2) => 1
[[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[4,4,3,2],[]] => ([],1) => 0
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[3,3,3,3,2],[1,1]] => ([(0,1)],2) => 1
[[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[4,4,3,2],[1]] => ([(0,2),(2,1)],3) => 2
[[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[4,4,4,2],[1]] => ([(0,1)],2) => 1
[[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[4,4,4,2],[2]] => ([(0,2),(2,1)],3) => 2
[[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[5,5,2],[]] => ([],1) => 0
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[4,3,3,3],[2]] => ([(0,1)],2) => 1
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[4,4,3,3],[2]] => ([(0,1)],2) => 1
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[4,4,3,3],[3]] => ([(0,1)],2) => 1
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[5,3,3],[]] => ([],1) => 0
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[3,3,3,3,3],[2,1]] => ([],1) => 0
[[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[4,3,3,3],[1]] => ([(0,1)],2) => 1
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[4,4,4,3],[3]] => ([(0,1)],2) => 1
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[5,4,3],[]] => ([],1) => 0
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[3,3,3,3,3],[1,1]] => ([],1) => 0
[[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[4,4,3,3],[1]] => ([(0,1)],2) => 1
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[4,4,4,3],[1]] => ([(0,1)],2) => 1
[[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[4,4,4,3],[2]] => ([(0,1)],2) => 1
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[5,5,3],[]] => ([],1) => 0
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[3,3,3,3,3],[1,1,1]] => ([],1) => 0
[[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[4,4,3,3],[1,1]] => ([(0,2),(2,1)],3) => 2
[[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[4,4,4,3],[1,1]] => ([(0,1)],2) => 1
[[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[4,4,4,3],[2,1]] => ([(0,2),(2,1)],3) => 2
[[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[5,5,3],[1]] => ([(0,1)],2) => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[4,4,4,4],[3,1]] => ([],1) => 0
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[5,4,4],[1]] => ([(0,1)],2) => 1
[[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[4,4,4,4],[2,1]] => ([],1) => 0
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[5,5,4],[1]] => ([(0,1)],2) => 1
[[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[4,4,4,4],[2,2]] => ([],1) => 0
[[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[5,5,4],[2]] => ([(0,1)],2) => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[5,5,5],[2]] => ([],1) => 0
[[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[5,5,5],[3]] => ([],1) => 0
[[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[6,6],[]] => ([],1) => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2],[1,1,1,1,1]] => ([],1) => 0
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2],[1,1,1,1]] => ([(0,1)],2) => 1
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2],[2,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[4,2,2,2],[1,1,1]] => ([(0,1)],2) => 1
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2],[2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[4,3,2,2],[2,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 4
[[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[4,4,2,2],[3,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
[[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[5,2,2],[1,1]] => ([(0,1)],2) => 1
[[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[4,4,4,2],[1,1,1]] => ([(0,1)],2) => 1
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2],[2,2,2,1]] => ([(0,2),(2,1)],3) => 2
[[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[4,3,3,2],[2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 4
[[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[4,4,3,2],[3,2,1]] => ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 5
[[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[5,3,2],[2,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 4
[[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[4,4,4,2],[3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[5,4,2],[3,1]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 4
[[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[5,5,2],[4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[6,2],[1]] => ([(0,1)],2) => 1
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[5,4,3],[2,1]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 3
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[4,4,4,3],[2,2,1]] => ([(0,2),(2,1)],3) => 2
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[5,5,3],[2,1]] => ([(0,3),(2,1),(3,2)],4) => 3
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[5,5,3],[3,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[[.,.],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[6,3],[1]] => ([(0,1)],2) => 1
[[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[4,4,3,3],[2,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[5,3,3],[1,1]] => ([(0,1)],2) => 1
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[5,5,4],[3,1]] => ([(0,2),(2,1)],3) => 2
[[[[.,.],.],[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[6,4],[1]] => ([(0,1)],2) => 1
[[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[4,3,3,3],[1,1,1]] => ([(0,1)],2) => 1
[[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[5,4,3],[1,1]] => ([(0,2),(2,1)],3) => 2
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[4,4,4,4],[1,1,1]] => ([],1) => 0
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[5,5,5],[1,1]] => ([],1) => 0
[[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[5,4,4],[2,1]] => ([(0,2),(2,1)],3) => 2
[[[[[.,.],.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[6,5],[1]] => ([(0,1)],2) => 1
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[3,3,3,3,3],[1,1,1,1]] => ([],1) => 0
[[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[4,4,3,3],[1,1,1]] => ([(0,1)],2) => 1
[[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[4,4,4,3],[1,1,1]] => ([(0,1)],2) => 1
[[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[4,4,4,3],[2,1,1]] => ([(0,2),(2,1)],3) => 2
[[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[5,5,3],[1,1]] => ([(0,1)],2) => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[4,4,4,4],[3,1,1]] => ([],1) => 0
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[5,4,4],[1,1]] => ([(0,1)],2) => 1
[[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[4,4,4,4],[2,1,1]] => ([],1) => 0
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[5,5,4],[1,1]] => ([(0,1)],2) => 1
[[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[4,4,4,4],[2,2,1]] => ([],1) => 0
[[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[5,5,4],[2,1]] => ([(0,2),(2,1)],3) => 2
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[5,5,5],[2,1]] => ([],1) => 0
[[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[5,5,5],[3,1]] => ([],1) => 0
[[[[[[.,.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[6,6],[1]] => ([],1) => 0
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3],[2,2,2,2]] => ([],1) => 0
[[[.,[.,[.,[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[4,3,3,3],[2,2,2]] => ([(0,1)],2) => 1
[[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[4,4,3,3],[3,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[5,3,3],[2,2]] => ([(0,2),(2,1)],3) => 2
[[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[4,4,4,3],[3,3,2]] => ([(0,2),(2,1)],3) => 2
[[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[5,4,3],[3,2]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 4
[[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[5,5,3],[4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 3
[[[.,[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[6,3],[2]] => ([(0,2),(2,1)],3) => 2
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[5,5,4],[3,2]] => ([(0,2),(2,1)],3) => 2
[[[[.,.],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[6,4],[2]] => ([(0,2),(2,1)],3) => 2
[[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[5,4,4],[2,2]] => ([(0,1)],2) => 1
[[[[[.,.],.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[6,5],[2]] => ([(0,1)],2) => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[4,4,4,4],[2,2,2]] => ([],1) => 0
[[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[5,5,4],[2,2]] => ([(0,1)],2) => 1
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[5,5,5],[2,2]] => ([],1) => 0
[[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[5,5,5],[3,2]] => ([],1) => 0
[[[[[[.,.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[6,6],[2]] => ([],1) => 0
[[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[4,4,4,4],[3,3,3]] => ([],1) => 0
[[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[5,4,4],[3,3]] => ([(0,1)],2) => 1
[[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[5,5,4],[4,3]] => ([(0,2),(2,1)],3) => 2
[[[[.,[[[.,.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[6,4],[3]] => ([(0,2),(2,1)],3) => 2
[[[[[.,.],[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[6,5],[3]] => ([(0,1)],2) => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[5,5,5],[3,3]] => ([],1) => 0
[[[[[[.,.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[6,6],[3]] => ([],1) => 0
[[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[5,5,5],[4,4]] => ([],1) => 0
[[[[[.,[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[6,5],[4]] => ([(0,1)],2) => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[6,6],[4]] => ([],1) => 0
[[[[[[.,[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[6,6],[5]] => ([],1) => 0
[[[[[[[.,.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[7],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[2,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[2,2,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1,1,1,1],[1]] => ([(0,1)],2) => 1
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[3,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[3,2,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[2,2,2,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[3,3,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1,1,1,1],[1,1]] => ([(0,2),(2,1)],3) => 2
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[3,2,1,1,1,1],[1]] => ([(0,2),(2,1)],3) => 2
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[4,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[4,2,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[3,2,2,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[4,3,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2,1,1,1],[1,1,1]] => ([(0,3),(2,1),(3,2)],4) => 3
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[3,2,2,1,1,1],[1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[3,3,2,1,1,1],[2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[4,3,1,1,1],[2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[5,1,1,1],[]] => ([],1) => 0
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[5,2,1,1],[]] => ([],1) => 0
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[4,2,2,1,1],[]] => ([],1) => 0
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[5,3,1,1],[]] => ([],1) => 0
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,1,1],[1,1,1,1]] => ([(0,2),(2,1)],3) => 2
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,1,1],[1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,1,1],[2,1,1]] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => 5
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,1,1],[2,2,1]] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => 5
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[4,4,2,1,1],[3,1]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 5
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[4,3,3,1,1],[2,2]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 4
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[5,3,1,1],[2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 3
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[6,1,1],[]] => ([],1) => 0
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[6,2,1],[]] => ([],1) => 0
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[5,2,2,1],[]] => ([],1) => 0
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[6,3,1],[]] => ([],1) => 0
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[3,3,3,3,3,1],[]] => ([],1) => 0
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[4,4,4,3,1],[]] => ([],1) => 0
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[4,4,4,4,1],[]] => ([],1) => 0
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[4,4,4,4,1],[1]] => ([(0,1)],2) => 1
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[5,5,5,1],[]] => ([],1) => 0
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[5,5,4,1],[]] => ([],1) => 0
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[5,5,5,1],[1]] => ([(0,1)],2) => 1
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,1],[1,1,1,1,1]] => ([(0,1)],2) => 1
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2,1],[1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2,1],[2,1,1,1]] => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 4
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2,1],[2,2,1,1]] => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => 5
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2,1],[2,2,2,1]] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 4
[.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[4,3,3,3,1],[2,2,2]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[5,3,3,1],[2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 4
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[4,4,4,3,1],[3,3,2]] => ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 5
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[4,4,4,4,1],[3,3,3]] => ([(0,1)],2) => 1
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[5,4,4,1],[3,3]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[5,5,4,1],[4,3]] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 4
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[6,4,1],[3]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[7,1],[]] => ([],1) => 0
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[7,2],[]] => ([],1) => 0
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[6,2,2],[]] => ([],1) => 0
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[7,3],[]] => ([],1) => 0
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[4,4,4,4,4],[3]] => ([],1) => 0
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[3,3,3,3,3,3],[2]] => ([],1) => 0
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[4,4,4,4,3],[3]] => ([(0,1)],2) => 1
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[4,4,4,4,4],[3,1]] => ([],1) => 0
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[5,5,5,5],[4]] => ([],1) => 0
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[5,5,5,4],[4]] => ([(0,1)],2) => 1
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[5,5,5,5],[4,1]] => ([],1) => 0
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2,2],[1,1,1,1,1]] => ([(0,1)],2) => 1
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2,2],[2,1,1,1,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[4,3,2,2,2],[2,1,1,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 4
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[4,4,2,2,2],[3,1,1,1]] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[5,3,2,2],[2,1,1]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 5
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[4,4,4,2,2],[3,3,1,1]] => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 4
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,2),(2,1)],3) => 2
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[4,3,3,3,2],[2,2,2,1]] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 4
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[4,4,4,4,2],[3,3,3,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[6,4,2],[3,1]] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => 5
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[5,5,5,2],[4,4,1]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[6,5,2],[4,1]] => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 4
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[4,4,3,3,3],[3,2,2,2]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[5,3,3,3],[2,2,2]] => ([(0,2),(2,1)],3) => 2
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 3
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[5,5,3,3],[4,2,2]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 4
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[4,4,4,4,3],[3,3,3,2]] => ([(0,2),(2,1)],3) => 2
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[5,4,4,3],[3,3,2]] => ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 5
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[6,4,3],[3,2]] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => 5
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[5,5,5,3],[4,4,2]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 3
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[6,5,3],[4,2]] => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => 5
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[6,6,3],[5,2]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[4,4,4,4,4],[3,3,3,3]] => ([],1) => 0
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[5,4,4,4],[3,3,3]] => ([(0,1)],2) => 1
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[5,5,4,4],[4,3,3]] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[6,4,4],[3,3]] => ([(0,2),(2,1)],3) => 2
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[5,5,5,4],[4,4,3]] => ([(0,2),(2,1)],3) => 2
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[6,5,4],[4,3]] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 4
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[6,6,4],[5,3]] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 3
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[7,4],[3]] => ([(0,3),(2,1),(3,2)],4) => 3
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[8],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[2,1,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[3,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[4,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[5,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[6,1,1,1],[]] => ([],1) => 0
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[7,1,1],[]] => ([],1) => 0
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[8,1],[]] => ([],1) => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[9],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[2,1,1,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[2,2,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[3,1,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[3,2,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[4,1,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[5,1,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[6,1,1,1,1],[]] => ([],1) => 0
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[7,1,1,1],[]] => ([],1) => 0
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[7,2,1],[]] => ([],1) => 0
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[8,1,1],[]] => ([],1) => 0
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[8,2],[]] => ([],1) => 0
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[9,1],[]] => ([],1) => 0
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[10],[]] => ([],1) => 0
[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[5,5,5,5,5],[4]] => ([],1) => 0
[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[5,5,5,5,5,1],[]] => ([],1) => 0
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Description
The number of join-irreducible elements of a lattice.
An element $j$ of a lattice $L$ is join irreducible if it is not the least element and if $j=x\vee y$, then $j\in\{x,y\}$ for all $x,y\in L$.
Map
pruning number to logarithmic height
Description
Francon's map from binary trees to Dyck paths.
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
Map
skew partition
Description
The parallelogram polyomino corresponding to a Dyck path, interpreted as a skew partition.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
This map returns the skew partition definded by the diagram of $\gamma(D)$.
Map
dominating sublattice
Description
Return the sublattice of the dominance order induced by the support of the expansion of the skew Schur function into Schur functions.
Consider the expansion of the skew Schur function $s_{\lambda/\mu}=\sum_\nu c^\lambda_{\mu, \nu} s_\nu$ as a linear combination of straight Schur functions.
It is shown in [1] that the subposet of the dominance order whose elements are the partitions $\nu$ with $c^\lambda_{\mu, \nu} > 0$ form a lattice.
The example $\lambda = (5^2,4^2,1)$ and $\mu=(3,2)$ shows that this lattice is not a sublattice of the dominance order.