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------------------------------------------------------------------------
Map identifier: Mp00012

------------------------------------------------------------------------
Map name: to Dyck path: up step, left tree, down step, right tree

------------------------------------------------------------------------
Domain: Binary trees

------------------------------------------------------------------------
Codomain: Dyck paths

------------------------------------------------------------------------
Description: Return the associated Dyck path, using the bijection ''1L0R''.

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 $r$.

------------------------------------------------------------------------
References: 

------------------------------------------------------------------------
Code:

def mapping(elt):
    return elt.to_dyck_word(usemap="1L0R")

------------------------------------------------------------------------
Map images:

[.,.]                             => [1,0]
[.,[.,.]]                         => [1,0,1,0]
[[.,.],.]                         => [1,1,0,0]
[.,[.,[.,.]]]                     => [1,0,1,0,1,0]
[.,[[.,.],.]]                     => [1,0,1,1,0,0]
[[.,.],[.,.]]                     => [1,1,0,0,1,0]
[[.,[.,.]],.]                     => [1,1,0,1,0,0]
[[[.,.],.],.]                     => [1,1,1,0,0,0]
[.,[.,[.,[.,.]]]]                 => [1,0,1,0,1,0,1,0]
[.,[.,[[.,.],.]]]                 => [1,0,1,0,1,1,0,0]
[.,[[.,.],[.,.]]]                 => [1,0,1,1,0,0,1,0]
[.,[[.,[.,.]],.]]                 => [1,0,1,1,0,1,0,0]
[.,[[[.,.],.],.]]                 => [1,0,1,1,1,0,0,0]
[[.,.],[.,[.,.]]]                 => [1,1,0,0,1,0,1,0]
[[.,.],[[.,.],.]]                 => [1,1,0,0,1,1,0,0]
[[.,[.,.]],[.,.]]                 => [1,1,0,1,0,0,1,0]
[[[.,.],.],[.,.]]                 => [1,1,1,0,0,0,1,0]
[[.,[.,[.,.]]],.]                 => [1,1,0,1,0,1,0,0]
[[.,[[.,.],.]],.]                 => [1,1,0,1,1,0,0,0]
[[[.,.],[.,.]],.]                 => [1,1,1,0,0,1,0,0]
[[[.,[.,.]],.],.]                 => [1,1,1,0,1,0,0,0]
[[[[.,.],.],.],.]                 => [1,1,1,1,0,0,0,0]
[.,[.,[.,[.,[.,.]]]]]             => [1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[[.,.],.]]]]             => [1,0,1,0,1,0,1,1,0,0]
[.,[.,[[.,.],[.,.]]]]             => [1,0,1,0,1,1,0,0,1,0]
[.,[.,[[.,[.,.]],.]]]             => [1,0,1,0,1,1,0,1,0,0]
[.,[.,[[[.,.],.],.]]]             => [1,0,1,0,1,1,1,0,0,0]
[.,[[.,.],[.,[.,.]]]]             => [1,0,1,1,0,0,1,0,1,0]
[.,[[.,.],[[.,.],.]]]             => [1,0,1,1,0,0,1,1,0,0]
[.,[[.,[.,.]],[.,.]]]             => [1,0,1,1,0,1,0,0,1,0]
[.,[[[.,.],.],[.,.]]]             => [1,0,1,1,1,0,0,0,1,0]
[.,[[.,[.,[.,.]]],.]]             => [1,0,1,1,0,1,0,1,0,0]
[.,[[.,[[.,.],.]],.]]             => [1,0,1,1,0,1,1,0,0,0]
[.,[[[.,.],[.,.]],.]]             => [1,0,1,1,1,0,0,1,0,0]
[.,[[[.,[.,.]],.],.]]             => [1,0,1,1,1,0,1,0,0,0]
[.,[[[[.,.],.],.],.]]             => [1,0,1,1,1,1,0,0,0,0]
[[.,.],[.,[.,[.,.]]]]             => [1,1,0,0,1,0,1,0,1,0]
[[.,.],[.,[[.,.],.]]]             => [1,1,0,0,1,0,1,1,0,0]
[[.,.],[[.,.],[.,.]]]             => [1,1,0,0,1,1,0,0,1,0]
[[.,.],[[.,[.,.]],.]]             => [1,1,0,0,1,1,0,1,0,0]
[[.,.],[[[.,.],.],.]]             => [1,1,0,0,1,1,1,0,0,0]
[[.,[.,.]],[.,[.,.]]]             => [1,1,0,1,0,0,1,0,1,0]
[[.,[.,.]],[[.,.],.]]             => [1,1,0,1,0,0,1,1,0,0]
[[[.,.],.],[.,[.,.]]]             => [1,1,1,0,0,0,1,0,1,0]
[[[.,.],.],[[.,.],.]]             => [1,1,1,0,0,0,1,1,0,0]
[[.,[.,[.,.]]],[.,.]]             => [1,1,0,1,0,1,0,0,1,0]
[[.,[[.,.],.]],[.,.]]             => [1,1,0,1,1,0,0,0,1,0]
[[[.,.],[.,.]],[.,.]]             => [1,1,1,0,0,1,0,0,1,0]
[[[.,[.,.]],.],[.,.]]             => [1,1,1,0,1,0,0,0,1,0]
[[[[.,.],.],.],[.,.]]             => [1,1,1,1,0,0,0,0,1,0]
[[.,[.,[.,[.,.]]]],.]             => [1,1,0,1,0,1,0,1,0,0]
[[.,[.,[[.,.],.]]],.]             => [1,1,0,1,0,1,1,0,0,0]
[[.,[[.,.],[.,.]]],.]             => [1,1,0,1,1,0,0,1,0,0]
[[.,[[.,[.,.]],.]],.]             => [1,1,0,1,1,0,1,0,0,0]
[[.,[[[.,.],.],.]],.]             => [1,1,0,1,1,1,0,0,0,0]
[[[.,.],[.,[.,.]]],.]             => [1,1,1,0,0,1,0,1,0,0]
[[[.,.],[[.,.],.]],.]             => [1,1,1,0,0,1,1,0,0,0]
[[[.,[.,.]],[.,.]],.]             => [1,1,1,0,1,0,0,1,0,0]
[[[[.,.],.],[.,.]],.]             => [1,1,1,1,0,0,0,1,0,0]
[[[.,[.,[.,.]]],.],.]             => [1,1,1,0,1,0,1,0,0,0]
[[[.,[[.,.],.]],.],.]             => [1,1,1,0,1,1,0,0,0,0]
[[[[.,.],[.,.]],.],.]             => [1,1,1,1,0,0,1,0,0,0]
[[[[.,[.,.]],.],.],.]             => [1,1,1,1,0,1,0,0,0,0]
[[[[[.,.],.],.],.],.]             => [1,1,1,1,1,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,.]]]]]]         => [1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[[.,.],.]]]]]         => [1,0,1,0,1,0,1,0,1,1,0,0]
[.,[.,[.,[[.,.],[.,.]]]]]         => [1,0,1,0,1,0,1,1,0,0,1,0]
[.,[.,[.,[[.,[.,.]],.]]]]         => [1,0,1,0,1,0,1,1,0,1,0,0]
[.,[.,[.,[[[.,.],.],.]]]]         => [1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[[.,.],[.,[.,.]]]]]         => [1,0,1,0,1,1,0,0,1,0,1,0]
[.,[.,[[.,.],[[.,.],.]]]]         => [1,0,1,0,1,1,0,0,1,1,0,0]
[.,[.,[[.,[.,.]],[.,.]]]]         => [1,0,1,0,1,1,0,1,0,0,1,0]
[.,[.,[[[.,.],.],[.,.]]]]         => [1,0,1,0,1,1,1,0,0,0,1,0]
[.,[.,[[.,[.,[.,.]]],.]]]         => [1,0,1,0,1,1,0,1,0,1,0,0]
[.,[.,[[.,[[.,.],.]],.]]]         => [1,0,1,0,1,1,0,1,1,0,0,0]
[.,[.,[[[.,.],[.,.]],.]]]         => [1,0,1,0,1,1,1,0,0,1,0,0]
[.,[.,[[[.,[.,.]],.],.]]]         => [1,0,1,0,1,1,1,0,1,0,0,0]
[.,[.,[[[[.,.],.],.],.]]]         => [1,0,1,0,1,1,1,1,0,0,0,0]
[.,[[.,.],[.,[.,[.,.]]]]]         => [1,0,1,1,0,0,1,0,1,0,1,0]
[.,[[.,.],[.,[[.,.],.]]]]         => [1,0,1,1,0,0,1,0,1,1,0,0]
[.,[[.,.],[[.,.],[.,.]]]]         => [1,0,1,1,0,0,1,1,0,0,1,0]
[.,[[.,.],[[.,[.,.]],.]]]         => [1,0,1,1,0,0,1,1,0,1,0,0]
[.,[[.,.],[[[.,.],.],.]]]         => [1,0,1,1,0,0,1,1,1,0,0,0]
[.,[[.,[.,.]],[.,[.,.]]]]         => [1,0,1,1,0,1,0,0,1,0,1,0]
[.,[[.,[.,.]],[[.,.],.]]]         => [1,0,1,1,0,1,0,0,1,1,0,0]
[.,[[[.,.],.],[.,[.,.]]]]         => [1,0,1,1,1,0,0,0,1,0,1,0]
[.,[[[.,.],.],[[.,.],.]]]         => [1,0,1,1,1,0,0,0,1,1,0,0]
[.,[[.,[.,[.,.]]],[.,.]]]         => [1,0,1,1,0,1,0,1,0,0,1,0]
[.,[[.,[[.,.],.]],[.,.]]]         => [1,0,1,1,0,1,1,0,0,0,1,0]
[.,[[[.,.],[.,.]],[.,.]]]         => [1,0,1,1,1,0,0,1,0,0,1,0]
[.,[[[.,[.,.]],.],[.,.]]]         => [1,0,1,1,1,0,1,0,0,0,1,0]
[.,[[[[.,.],.],.],[.,.]]]         => [1,0,1,1,1,1,0,0,0,0,1,0]
[.,[[.,[.,[.,[.,.]]]],.]]         => [1,0,1,1,0,1,0,1,0,1,0,0]
[.,[[.,[.,[[.,.],.]]],.]]         => [1,0,1,1,0,1,0,1,1,0,0,0]
[.,[[.,[[.,.],[.,.]]],.]]         => [1,0,1,1,0,1,1,0,0,1,0,0]
[.,[[.,[[.,[.,.]],.]],.]]         => [1,0,1,1,0,1,1,0,1,0,0,0]
[.,[[.,[[[.,.],.],.]],.]]         => [1,0,1,1,0,1,1,1,0,0,0,0]
[.,[[[.,.],[.,[.,.]]],.]]         => [1,0,1,1,1,0,0,1,0,1,0,0]
[.,[[[.,.],[[.,.],.]],.]]         => [1,0,1,1,1,0,0,1,1,0,0,0]
[.,[[[.,[.,.]],[.,.]],.]]         => [1,0,1,1,1,0,1,0,0,1,0,0]
[.,[[[[.,.],.],[.,.]],.]]         => [1,0,1,1,1,1,0,0,0,1,0,0]
[.,[[[.,[.,[.,.]]],.],.]]         => [1,0,1,1,1,0,1,0,1,0,0,0]
[.,[[[.,[[.,.],.]],.],.]]         => [1,0,1,1,1,0,1,1,0,0,0,0]
[.,[[[[.,.],[.,.]],.],.]]         => [1,0,1,1,1,1,0,0,1,0,0,0]
[.,[[[[.,[.,.]],.],.],.]]         => [1,0,1,1,1,1,0,1,0,0,0,0]
[.,[[[[[.,.],.],.],.],.]]         => [1,0,1,1,1,1,1,0,0,0,0,0]
[[.,.],[.,[.,[.,[.,.]]]]]         => [1,1,0,0,1,0,1,0,1,0,1,0]
[[.,.],[.,[.,[[.,.],.]]]]         => [1,1,0,0,1,0,1,0,1,1,0,0]
[[.,.],[.,[[.,.],[.,.]]]]         => [1,1,0,0,1,0,1,1,0,0,1,0]
[[.,.],[.,[[.,[.,.]],.]]]         => [1,1,0,0,1,0,1,1,0,1,0,0]
[[.,.],[.,[[[.,.],.],.]]]         => [1,1,0,0,1,0,1,1,1,0,0,0]
[[.,.],[[.,.],[.,[.,.]]]]         => [1,1,0,0,1,1,0,0,1,0,1,0]
[[.,.],[[.,.],[[.,.],.]]]         => [1,1,0,0,1,1,0,0,1,1,0,0]
[[.,.],[[.,[.,.]],[.,.]]]         => [1,1,0,0,1,1,0,1,0,0,1,0]
[[.,.],[[[.,.],.],[.,.]]]         => [1,1,0,0,1,1,1,0,0,0,1,0]
[[.,.],[[.,[.,[.,.]]],.]]         => [1,1,0,0,1,1,0,1,0,1,0,0]
[[.,.],[[.,[[.,.],.]],.]]         => [1,1,0,0,1,1,0,1,1,0,0,0]
[[.,.],[[[.,.],[.,.]],.]]         => [1,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[[.,[.,.]],.],.]]         => [1,1,0,0,1,1,1,0,1,0,0,0]
[[.,.],[[[[.,.],.],.],.]]         => [1,1,0,0,1,1,1,1,0,0,0,0]
[[.,[.,.]],[.,[.,[.,.]]]]         => [1,1,0,1,0,0,1,0,1,0,1,0]
[[.,[.,.]],[.,[[.,.],.]]]         => [1,1,0,1,0,0,1,0,1,1,0,0]
[[.,[.,.]],[[.,.],[.,.]]]         => [1,1,0,1,0,0,1,1,0,0,1,0]
[[.,[.,.]],[[.,[.,.]],.]]         => [1,1,0,1,0,0,1,1,0,1,0,0]
[[.,[.,.]],[[[.,.],.],.]]         => [1,1,0,1,0,0,1,1,1,0,0,0]
[[[.,.],.],[.,[.,[.,.]]]]         => [1,1,1,0,0,0,1,0,1,0,1,0]
[[[.,.],.],[.,[[.,.],.]]]         => [1,1,1,0,0,0,1,0,1,1,0,0]
[[[.,.],.],[[.,.],[.,.]]]         => [1,1,1,0,0,0,1,1,0,0,1,0]
[[[.,.],.],[[.,[.,.]],.]]         => [1,1,1,0,0,0,1,1,0,1,0,0]
[[[.,.],.],[[[.,.],.],.]]         => [1,1,1,0,0,0,1,1,1,0,0,0]
[[.,[.,[.,.]]],[.,[.,.]]]         => [1,1,0,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,.]]],[[.,.],.]]         => [1,1,0,1,0,1,0,0,1,1,0,0]
[[.,[[.,.],.]],[.,[.,.]]]         => [1,1,0,1,1,0,0,0,1,0,1,0]
[[.,[[.,.],.]],[[.,.],.]]         => [1,1,0,1,1,0,0,0,1,1,0,0]
[[[.,.],[.,.]],[.,[.,.]]]         => [1,1,1,0,0,1,0,0,1,0,1,0]
[[[.,.],[.,.]],[[.,.],.]]         => [1,1,1,0,0,1,0,0,1,1,0,0]
[[[.,[.,.]],.],[.,[.,.]]]         => [1,1,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,.]],.],[[.,.],.]]         => [1,1,1,0,1,0,0,0,1,1,0,0]
[[[[.,.],.],.],[.,[.,.]]]         => [1,1,1,1,0,0,0,0,1,0,1,0]
[[[[.,.],.],.],[[.,.],.]]         => [1,1,1,1,0,0,0,0,1,1,0,0]
[[.,[.,[.,[.,.]]]],[.,.]]         => [1,1,0,1,0,1,0,1,0,0,1,0]
[[.,[.,[[.,.],.]]],[.,.]]         => [1,1,0,1,0,1,1,0,0,0,1,0]
[[.,[[.,.],[.,.]]],[.,.]]         => [1,1,0,1,1,0,0,1,0,0,1,0]
[[.,[[.,[.,.]],.]],[.,.]]         => [1,1,0,1,1,0,1,0,0,0,1,0]
[[.,[[[.,.],.],.]],[.,.]]         => [1,1,0,1,1,1,0,0,0,0,1,0]
[[[.,.],[.,[.,.]]],[.,.]]         => [1,1,1,0,0,1,0,1,0,0,1,0]
[[[.,.],[[.,.],.]],[.,.]]         => [1,1,1,0,0,1,1,0,0,0,1,0]
[[[.,[.,.]],[.,.]],[.,.]]         => [1,1,1,0,1,0,0,1,0,0,1,0]
[[[[.,.],.],[.,.]],[.,.]]         => [1,1,1,1,0,0,0,1,0,0,1,0]
[[[.,[.,[.,.]]],.],[.,.]]         => [1,1,1,0,1,0,1,0,0,0,1,0]
[[[.,[[.,.],.]],.],[.,.]]         => [1,1,1,0,1,1,0,0,0,0,1,0]
[[[[.,.],[.,.]],.],[.,.]]         => [1,1,1,1,0,0,1,0,0,0,1,0]
[[[[.,[.,.]],.],.],[.,.]]         => [1,1,1,1,0,1,0,0,0,0,1,0]
[[[[[.,.],.],.],.],[.,.]]         => [1,1,1,1,1,0,0,0,0,0,1,0]
[[.,[.,[.,[.,[.,.]]]]],.]         => [1,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,[.,[[.,.],.]]]],.]         => [1,1,0,1,0,1,0,1,1,0,0,0]
[[.,[.,[[.,.],[.,.]]]],.]         => [1,1,0,1,0,1,1,0,0,1,0,0]
[[.,[.,[[.,[.,.]],.]]],.]         => [1,1,0,1,0,1,1,0,1,0,0,0]
[[.,[.,[[[.,.],.],.]]],.]         => [1,1,0,1,0,1,1,1,0,0,0,0]
[[.,[[.,.],[.,[.,.]]]],.]         => [1,1,0,1,1,0,0,1,0,1,0,0]
[[.,[[.,.],[[.,.],.]]],.]         => [1,1,0,1,1,0,0,1,1,0,0,0]
[[.,[[.,[.,.]],[.,.]]],.]         => [1,1,0,1,1,0,1,0,0,1,0,0]
[[.,[[[.,.],.],[.,.]]],.]         => [1,1,0,1,1,1,0,0,0,1,0,0]
[[.,[[.,[.,[.,.]]],.]],.]         => [1,1,0,1,1,0,1,0,1,0,0,0]
[[.,[[.,[[.,.],.]],.]],.]         => [1,1,0,1,1,0,1,1,0,0,0,0]
[[.,[[[.,.],[.,.]],.]],.]         => [1,1,0,1,1,1,0,0,1,0,0,0]
[[.,[[[.,[.,.]],.],.]],.]         => [1,1,0,1,1,1,0,1,0,0,0,0]
[[.,[[[[.,.],.],.],.]],.]         => [1,1,0,1,1,1,1,0,0,0,0,0]
[[[.,.],[.,[.,[.,.]]]],.]         => [1,1,1,0,0,1,0,1,0,1,0,0]
[[[.,.],[.,[[.,.],.]]],.]         => [1,1,1,0,0,1,0,1,1,0,0,0]
[[[.,.],[[.,.],[.,.]]],.]         => [1,1,1,0,0,1,1,0,0,1,0,0]
[[[.,.],[[.,[.,.]],.]],.]         => [1,1,1,0,0,1,1,0,1,0,0,0]
[[[.,.],[[[.,.],.],.]],.]         => [1,1,1,0,0,1,1,1,0,0,0,0]
[[[.,[.,.]],[.,[.,.]]],.]         => [1,1,1,0,1,0,0,1,0,1,0,0]
[[[.,[.,.]],[[.,.],.]],.]         => [1,1,1,0,1,0,0,1,1,0,0,0]
[[[[.,.],.],[.,[.,.]]],.]         => [1,1,1,1,0,0,0,1,0,1,0,0]
[[[[.,.],.],[[.,.],.]],.]         => [1,1,1,1,0,0,0,1,1,0,0,0]
[[[.,[.,[.,.]]],[.,.]],.]         => [1,1,1,0,1,0,1,0,0,1,0,0]
[[[.,[[.,.],.]],[.,.]],.]         => [1,1,1,0,1,1,0,0,0,1,0,0]
[[[[.,.],[.,.]],[.,.]],.]         => [1,1,1,1,0,0,1,0,0,1,0,0]
[[[[.,[.,.]],.],[.,.]],.]         => [1,1,1,1,0,1,0,0,0,1,0,0]
[[[[[.,.],.],.],[.,.]],.]         => [1,1,1,1,1,0,0,0,0,1,0,0]
[[[.,[.,[.,[.,.]]]],.],.]         => [1,1,1,0,1,0,1,0,1,0,0,0]
[[[.,[.,[[.,.],.]]],.],.]         => [1,1,1,0,1,0,1,1,0,0,0,0]
[[[.,[[.,.],[.,.]]],.],.]         => [1,1,1,0,1,1,0,0,1,0,0,0]
[[[.,[[.,[.,.]],.]],.],.]         => [1,1,1,0,1,1,0,1,0,0,0,0]
[[[.,[[[.,.],.],.]],.],.]         => [1,1,1,0,1,1,1,0,0,0,0,0]
[[[[.,.],[.,[.,.]]],.],.]         => [1,1,1,1,0,0,1,0,1,0,0,0]
[[[[.,.],[[.,.],.]],.],.]         => [1,1,1,1,0,0,1,1,0,0,0,0]
[[[[.,[.,.]],[.,.]],.],.]         => [1,1,1,1,0,1,0,0,1,0,0,0]
[[[[[.,.],.],[.,.]],.],.]         => [1,1,1,1,1,0,0,0,1,0,0,0]
[[[[.,[.,[.,.]]],.],.],.]         => [1,1,1,1,0,1,0,1,0,0,0,0]
[[[[.,[[.,.],.]],.],.],.]         => [1,1,1,1,0,1,1,0,0,0,0,0]
[[[[[.,.],[.,.]],.],.],.]         => [1,1,1,1,1,0,0,1,0,0,0,0]
[[[[[.,[.,.]],.],.],.],.]         => [1,1,1,1,1,0,1,0,0,0,0,0]
[[[[[[.,.],.],.],.],.],.]         => [1,1,1,1,1,1,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]     => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]     => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]     => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]     => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[.,[.,[.,[.,[[[.,.],.],.]]]]]     => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]     => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[.,[.,[.,[[.,.],[[.,.],.]]]]]     => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]     => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[.,[.,[.,[[[.,.],.],[.,.]]]]]     => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]     => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[.,[.,[.,[[.,[[.,.],.]],.]]]]     => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[.,[.,[.,[[[.,.],[.,.]],.]]]]     => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[.,[.,[.,[[[.,[.,.]],.],.]]]]     => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[.,[.,[.,[[[[.,.],.],.],.]]]]     => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]     => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[.,[.,[[.,.],[.,[[.,.],.]]]]]     => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[.,[.,[[.,.],[[.,.],[.,.]]]]]     => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[.,[.,[[.,.],[[.,[.,.]],.]]]]     => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[.,[.,[[.,.],[[[.,.],.],.]]]]     => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]     => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[.,[.,[[.,[.,.]],[[.,.],.]]]]     => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[.,[.,[[[.,.],.],[.,[.,.]]]]]     => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[.,[.,[[[.,.],.],[[.,.],.]]]]     => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]     => [1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[.,[.,[[.,[[.,.],.]],[.,.]]]]     => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[.,[.,[[[.,.],[.,.]],[.,.]]]]     => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[.,[.,[[[.,[.,.]],.],[.,.]]]]     => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[.,[.,[[[[.,.],.],.],[.,.]]]]     => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]     => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[.,[.,[[.,[.,[[.,.],.]]],.]]]     => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[.,[.,[[.,[[.,.],[.,.]]],.]]]     => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[.,[.,[[.,[[.,[.,.]],.]],.]]]     => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[.,[.,[[.,[[[.,.],.],.]],.]]]     => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[.,[.,[[[.,.],[.,[.,.]]],.]]]     => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[.,[.,[[[.,.],[[.,.],.]],.]]]     => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[.,[.,[[[.,[.,.]],[.,.]],.]]]     => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[.,[.,[[[[.,.],.],[.,.]],.]]]     => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[.,[.,[[[.,[.,[.,.]]],.],.]]]     => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[.,[.,[[[.,[[.,.],.]],.],.]]]     => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[.,[.,[[[[.,.],[.,.]],.],.]]]     => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[.,[.,[[[[.,[.,.]],.],.],.]]]     => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[.,[.,[[[[[.,.],.],.],.],.]]]     => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]     => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[.,[[.,.],[.,[.,[[.,.],.]]]]]     => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[.,[[.,.],[.,[[.,.],[.,.]]]]]     => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[.,[[.,.],[.,[[.,[.,.]],.]]]]     => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[.,[[.,.],[.,[[[.,.],.],.]]]]     => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[.,[[.,.],[[.,.],[.,[.,.]]]]]     => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[.,[[.,.],[[.,.],[[.,.],.]]]]     => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[.,[[.,.],[[.,[.,.]],[.,.]]]]     => [1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[.,[[.,.],[[[.,.],.],[.,.]]]]     => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[.,[[.,.],[[.,[.,[.,.]]],.]]]     => [1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[.,[[.,.],[[.,[[.,.],.]],.]]]     => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[.,[[.,.],[[[.,.],[.,.]],.]]]     => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[.,[[.,.],[[[.,[.,.]],.],.]]]     => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[.,[[.,.],[[[[.,.],.],.],.]]]     => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]     => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[.,[[.,[.,.]],[.,[[.,.],.]]]]     => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[.,[[.,[.,.]],[[.,.],[.,.]]]]     => [1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[.,[[.,[.,.]],[[.,[.,.]],.]]]     => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[.,[[.,[.,.]],[[[.,.],.],.]]]     => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[.,[[[.,.],.],[.,[.,[.,.]]]]]     => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[.,[[[.,.],.],[.,[[.,.],.]]]]     => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[.,[[[.,.],.],[[.,.],[.,.]]]]     => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[.,[[[.,.],.],[[.,[.,.]],.]]]     => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[.,[[[.,.],.],[[[.,.],.],.]]]     => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]     => [1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[.,[[.,[.,[.,.]]],[[.,.],.]]]     => [1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[.,[[.,[[.,.],.]],[.,[.,.]]]]     => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[.,[[.,[[.,.],.]],[[.,.],.]]]     => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[.,[[[.,.],[.,.]],[.,[.,.]]]]     => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[.,[[[.,.],[.,.]],[[.,.],.]]]     => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[.,[[[.,[.,.]],.],[.,[.,.]]]]     => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[.,[[[.,[.,.]],.],[[.,.],.]]]     => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[.,[[[[.,.],.],.],[.,[.,.]]]]     => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[.,[[[[.,.],.],.],[[.,.],.]]]     => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]     => [1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[.,[[.,[.,[[.,.],.]]],[.,.]]]     => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[.,[[.,[[.,.],[.,.]]],[.,.]]]     => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[.,[[.,[[.,[.,.]],.]],[.,.]]]     => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[.,[[.,[[[.,.],.],.]],[.,.]]]     => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[.,[[[.,.],[.,[.,.]]],[.,.]]]     => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[.,[[[.,.],[[.,.],.]],[.,.]]]     => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[.,[[[.,[.,.]],[.,.]],[.,.]]]     => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[.,[[[[.,.],.],[.,.]],[.,.]]]     => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[.,[[[.,[.,[.,.]]],.],[.,.]]]     => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[.,[[[.,[[.,.],.]],.],[.,.]]]     => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[.,[[[[.,.],[.,.]],.],[.,.]]]     => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[.,[[[[.,[.,.]],.],.],[.,.]]]     => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[.,[[[[[.,.],.],.],.],[.,.]]]     => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]     => [1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[.,[[.,[.,[.,[[.,.],.]]]],.]]     => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[.,[[.,[.,[[.,.],[.,.]]]],.]]     => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[.,[[.,[.,[[.,[.,.]],.]]],.]]     => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[.,[[.,[.,[[[.,.],.],.]]],.]]     => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[.,[[.,[[.,.],[.,[.,.]]]],.]]     => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[.,[[.,[[.,.],[[.,.],.]]],.]]     => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[.,[[.,[[.,[.,.]],[.,.]]],.]]     => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[.,[[.,[[[.,.],.],[.,.]]],.]]     => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[.,[[.,[[.,[.,[.,.]]],.]],.]]     => [1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[.,[[.,[[.,[[.,.],.]],.]],.]]     => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[.,[[.,[[[.,.],[.,.]],.]],.]]     => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[.,[[.,[[[.,[.,.]],.],.]],.]]     => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[.,[[.,[[[[.,.],.],.],.]],.]]     => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[.,[[[.,.],[.,[.,[.,.]]]],.]]     => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[.,[[[.,.],[.,[[.,.],.]]],.]]     => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[.,[[[.,.],[[.,.],[.,.]]],.]]     => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[.,[[[.,.],[[.,[.,.]],.]],.]]     => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[.,[[[.,.],[[[.,.],.],.]],.]]     => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[.,[[[.,[.,.]],[.,[.,.]]],.]]     => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[.,[[[.,[.,.]],[[.,.],.]],.]]     => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[.,[[[[.,.],.],[.,[.,.]]],.]]     => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[.,[[[[.,.],.],[[.,.],.]],.]]     => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[.,[[[.,[.,[.,.]]],[.,.]],.]]     => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[.,[[[.,[[.,.],.]],[.,.]],.]]     => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[.,[[[[.,.],[.,.]],[.,.]],.]]     => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[.,[[[[.,[.,.]],.],[.,.]],.]]     => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[.,[[[[[.,.],.],.],[.,.]],.]]     => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[.,[[[.,[.,[.,[.,.]]]],.],.]]     => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[.,[[[.,[.,[[.,.],.]]],.],.]]     => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[.,[[[.,[[.,.],[.,.]]],.],.]]     => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[.,[[[.,[[.,[.,.]],.]],.],.]]     => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[.,[[[.,[[[.,.],.],.]],.],.]]     => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[.,[[[[.,.],[.,[.,.]]],.],.]]     => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[.,[[[[.,.],[[.,.],.]],.],.]]     => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[.,[[[[.,[.,.]],[.,.]],.],.]]     => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[.,[[[[[.,.],.],[.,.]],.],.]]     => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[.,[[[[.,[.,[.,.]]],.],.],.]]     => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[.,[[[[.,[[.,.],.]],.],.],.]]     => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[.,[[[[[.,.],[.,.]],.],.],.]]     => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[.,[[[[[.,[.,.]],.],.],.],.]]     => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[.,[[[[[[.,.],.],.],.],.],.]]     => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]     => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,.],[.,[.,[.,[[.,.],.]]]]]     => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[.,.],[.,[.,[[.,.],[.,.]]]]]     => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[.,.],[.,[.,[[.,[.,.]],.]]]]     => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[.,.],[.,[.,[[[.,.],.],.]]]]     => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[.,.],[.,[[.,.],[.,[.,.]]]]]     => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[[.,.],[.,[[.,.],[[.,.],.]]]]     => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[[.,.],[.,[[.,[.,.]],[.,.]]]]     => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[.,.],[.,[[[.,.],.],[.,.]]]]     => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[.,.],[.,[[.,[.,[.,.]]],.]]]     => [1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[.,.],[.,[[.,[[.,.],.]],.]]]     => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[.,.],[.,[[[.,.],[.,.]],.]]]     => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[.,.],[.,[[[.,[.,.]],.],.]]]     => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[.,.],[.,[[[[.,.],.],.],.]]]     => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[[.,.],[[.,.],[.,[.,[.,.]]]]]     => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[[.,.],[[.,.],[.,[[.,.],.]]]]     => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[[.,.],[[.,.],[[.,.],[.,.]]]]     => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[[.,.],[[.,.],[[.,[.,.]],.]]]     => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[[.,.],[[.,.],[[[.,.],.],.]]]     => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[[.,.],[[.,[.,.]],[.,[.,.]]]]     => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[[.,.],[[.,[.,.]],[[.,.],.]]]     => [1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[[.,.],[[[.,.],.],[.,[.,.]]]]     => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[[.,.],[[[.,.],.],[[.,.],.]]]     => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[[.,.],[[.,[.,[.,.]]],[.,.]]]     => [1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[[.,.],[[.,[[.,.],.]],[.,.]]]     => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[[.,.],[[[.,.],[.,.]],[.,.]]]     => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[[.,.],[[[.,[.,.]],.],[.,.]]]     => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[[.,.],[[[[.,.],.],.],[.,.]]]     => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[[.,.],[[.,[.,[.,[.,.]]]],.]]     => [1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[[.,.],[[.,[.,[[.,.],.]]],.]]     => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[[.,.],[[.,[[.,.],[.,.]]],.]]     => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[[.,.],[[.,[[.,[.,.]],.]],.]]     => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[[.,.],[[.,[[[.,.],.],.]],.]]     => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[[.,.],[[[.,.],[.,[.,.]]],.]]     => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[[.,.],[[[.,.],[[.,.],.]],.]]     => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[[.,.],[[[.,[.,.]],[.,.]],.]]     => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[[.,.],[[[[.,.],.],[.,.]],.]]     => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[[.,.],[[[.,[.,[.,.]]],.],.]]     => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[[.,.],[[[.,[[.,.],.]],.],.]]     => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[[.,.],[[[[.,.],[.,.]],.],.]]     => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[[.,.],[[[[.,[.,.]],.],.],.]]     => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[[.,.],[[[[[.,.],.],.],.],.]]     => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]     => [1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[[.,[.,.]],[.,[.,[[.,.],.]]]]     => [1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[[.,[.,.]],[.,[[.,.],[.,.]]]]     => [1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[[.,[.,.]],[.,[[.,[.,.]],.]]]     => [1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[[.,[.,.]],[.,[[[.,.],.],.]]]     => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[[.,[.,.]],[[.,.],[.,[.,.]]]]     => [1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[[.,[.,.]],[[.,.],[[.,.],.]]]     => [1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[[.,[.,.]],[[.,[.,.]],[.,.]]]     => [1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[[.,[.,.]],[[[.,.],.],[.,.]]]     => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[[.,[.,.]],[[.,[.,[.,.]]],.]]     => [1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[[.,[.,.]],[[.,[[.,.],.]],.]]     => [1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[[.,[.,.]],[[[.,.],[.,.]],.]]     => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[[.,[.,.]],[[[.,[.,.]],.],.]]     => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[[.,[.,.]],[[[[.,.],.],.],.]]     => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[[[.,.],.],[.,[.,[.,[.,.]]]]]     => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[[[.,.],.],[.,[.,[[.,.],.]]]]     => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[[[.,.],.],[.,[[.,.],[.,.]]]]     => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[[[.,.],.],[.,[[.,[.,.]],.]]]     => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[[[.,.],.],[.,[[[.,.],.],.]]]     => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[[[.,.],.],[[.,.],[.,[.,.]]]]     => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[[[.,.],.],[[.,.],[[.,.],.]]]     => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[[[.,.],.],[[.,[.,.]],[.,.]]]     => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[[[.,.],.],[[[.,.],.],[.,.]]]     => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[[[.,.],.],[[.,[.,[.,.]]],.]]     => [1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[[[.,.],.],[[.,[[.,.],.]],.]]     => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[[[.,.],.],[[[.,.],[.,.]],.]]     => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[[[.,.],.],[[[.,[.,.]],.],.]]     => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[[[.,.],.],[[[[.,.],.],.],.]]     => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]     => [1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[[.,[.,[.,.]]],[.,[[.,.],.]]]     => [1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[[.,[.,[.,.]]],[[.,.],[.,.]]]     => [1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[[.,[.,[.,.]]],[[.,[.,.]],.]]     => [1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[[.,[.,[.,.]]],[[[.,.],.],.]]     => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[[.,[[.,.],.]],[.,[.,[.,.]]]]     => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[[.,[[.,.],.]],[.,[[.,.],.]]]     => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[[.,[[.,.],.]],[[.,.],[.,.]]]     => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[[.,[[.,.],.]],[[.,[.,.]],.]]     => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[[.,[[.,.],.]],[[[.,.],.],.]]     => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[[[.,.],[.,.]],[.,[.,[.,.]]]]     => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[[[.,.],[.,.]],[.,[[.,.],.]]]     => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[[[.,.],[.,.]],[[.,.],[.,.]]]     => [1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[[[.,.],[.,.]],[[.,[.,.]],.]]     => [1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[[[.,.],[.,.]],[[[.,.],.],.]]     => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[[[.,[.,.]],.],[.,[.,[.,.]]]]     => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[[[.,[.,.]],.],[.,[[.,.],.]]]     => [1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[[[.,[.,.]],.],[[.,.],[.,.]]]     => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[[[.,[.,.]],.],[[.,[.,.]],.]]     => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[[[.,[.,.]],.],[[[.,.],.],.]]     => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[[[[.,.],.],.],[.,[.,[.,.]]]]     => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[[[[.,.],.],.],[.,[[.,.],.]]]     => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[[[[.,.],.],.],[[.,.],[.,.]]]     => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[[[[.,.],.],.],[[.,[.,.]],.]]     => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[[[[.,.],.],.],[[[.,.],.],.]]     => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]     => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[[.,[.,[.,[.,.]]]],[[.,.],.]]     => [1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[[.,[.,[[.,.],.]]],[.,[.,.]]]     => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[[.,[.,[[.,.],.]]],[[.,.],.]]     => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[[.,[[.,.],[.,.]]],[.,[.,.]]]     => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[[.,[[.,.],[.,.]]],[[.,.],.]]     => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[[.,[[.,[.,.]],.]],[.,[.,.]]]     => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[[.,[[.,[.,.]],.]],[[.,.],.]]     => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[[.,[[[.,.],.],.]],[.,[.,.]]]     => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[[.,[[[.,.],.],.]],[[.,.],.]]     => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[[[.,.],[.,[.,.]]],[.,[.,.]]]     => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[[[.,.],[.,[.,.]]],[[.,.],.]]     => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[[[.,.],[[.,.],.]],[.,[.,.]]]     => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[[[.,.],[[.,.],.]],[[.,.],.]]     => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[[[.,[.,.]],[.,.]],[.,[.,.]]]     => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[[[.,[.,.]],[.,.]],[[.,.],.]]     => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[[[[.,.],.],[.,.]],[.,[.,.]]]     => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[[[[.,.],.],[.,.]],[[.,.],.]]     => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[[[.,[.,[.,.]]],.],[.,[.,.]]]     => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[[[.,[.,[.,.]]],.],[[.,.],.]]     => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[[[.,[[.,.],.]],.],[.,[.,.]]]     => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[[[.,[[.,.],.]],.],[[.,.],.]]     => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[[[[.,.],[.,.]],.],[.,[.,.]]]     => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[[[[.,.],[.,.]],.],[[.,.],.]]     => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[[[[.,[.,.]],.],.],[.,[.,.]]]     => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[[[[.,[.,.]],.],.],[[.,.],.]]     => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[[[[[.,.],.],.],.],[.,[.,.]]]     => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[[[[[.,.],.],.],.],[[.,.],.]]     => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]     => [1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[[.,[.,[.,[[.,.],.]]]],[.,.]]     => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[[.,[.,[[.,.],[.,.]]]],[.,.]]     => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[[.,[.,[[.,[.,.]],.]]],[.,.]]     => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[[.,[.,[[[.,.],.],.]]],[.,.]]     => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[[.,[[.,.],[.,[.,.]]]],[.,.]]     => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[[.,[[.,.],[[.,.],.]]],[.,.]]     => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[[.,[[.,[.,.]],[.,.]]],[.,.]]     => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[[.,[[[.,.],.],[.,.]]],[.,.]]     => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[[.,[[.,[.,[.,.]]],.]],[.,.]]     => [1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[[.,[[.,[[.,.],.]],.]],[.,.]]     => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[[.,[[[.,.],[.,.]],.]],[.,.]]     => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[[.,[[[.,[.,.]],.],.]],[.,.]]     => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[[.,[[[[.,.],.],.],.]],[.,.]]     => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[[[.,.],[.,[.,[.,.]]]],[.,.]]     => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[[[.,.],[.,[[.,.],.]]],[.,.]]     => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[[[.,.],[[.,.],[.,.]]],[.,.]]     => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[[[.,.],[[.,[.,.]],.]],[.,.]]     => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[[[.,.],[[[.,.],.],.]],[.,.]]     => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[[[.,[.,.]],[.,[.,.]]],[.,.]]     => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[[[.,[.,.]],[[.,.],.]],[.,.]]     => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[[[[.,.],.],[.,[.,.]]],[.,.]]     => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[[[[.,.],.],[[.,.],.]],[.,.]]     => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[[[.,[.,[.,.]]],[.,.]],[.,.]]     => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[[[.,[[.,.],.]],[.,.]],[.,.]]     => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[[[[.,.],[.,.]],[.,.]],[.,.]]     => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[[[[.,[.,.]],.],[.,.]],[.,.]]     => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[[[[[.,.],.],.],[.,.]],[.,.]]     => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[[[.,[.,[.,[.,.]]]],.],[.,.]]     => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[[[.,[.,[[.,.],.]]],.],[.,.]]     => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[[[.,[[.,.],[.,.]]],.],[.,.]]     => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[[[.,[[.,[.,.]],.]],.],[.,.]]     => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[[[.,[[[.,.],.],.]],.],[.,.]]     => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[[[[.,.],[.,[.,.]]],.],[.,.]]     => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[[[[.,.],[[.,.],.]],.],[.,.]]     => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[[[[.,[.,.]],[.,.]],.],[.,.]]     => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[[[[[.,.],.],[.,.]],.],[.,.]]     => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[[[[.,[.,[.,.]]],.],.],[.,.]]     => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[[[[.,[[.,.],.]],.],.],[.,.]]     => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[[[[[.,.],[.,.]],.],.],[.,.]]     => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[[[[[.,[.,.]],.],.],.],[.,.]]     => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[[[[[[.,.],.],.],.],.],[.,.]]     => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]     => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[[.,[.,[.,[.,[[.,.],.]]]]],.]     => [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[[.,[.,[.,[[.,.],[.,.]]]]],.]     => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[[.,[.,[.,[[.,[.,.]],.]]]],.]     => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[[.,[.,[.,[[[.,.],.],.]]]],.]     => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[[.,[.,[[.,.],[.,[.,.]]]]],.]     => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[[.,[.,[[.,.],[[.,.],.]]]],.]     => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[[.,[.,[[.,[.,.]],[.,.]]]],.]     => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[[.,[.,[[[.,.],.],[.,.]]]],.]     => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[[.,[.,[[.,[.,[.,.]]],.]]],.]     => [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[[.,[.,[[.,[[.,.],.]],.]]],.]     => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[[.,[.,[[[.,.],[.,.]],.]]],.]     => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[[.,[.,[[[.,[.,.]],.],.]]],.]     => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[[.,[.,[[[[.,.],.],.],.]]],.]     => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[[.,[[.,.],[.,[.,[.,.]]]]],.]     => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[[.,[[.,.],[.,[[.,.],.]]]],.]     => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[[.,[[.,.],[[.,.],[.,.]]]],.]     => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[[.,[[.,.],[[.,[.,.]],.]]],.]     => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[[.,[[.,.],[[[.,.],.],.]]],.]     => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[[.,[[.,[.,.]],[.,[.,.]]]],.]     => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[[.,[[.,[.,.]],[[.,.],.]]],.]     => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[[.,[[[.,.],.],[.,[.,.]]]],.]     => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[[.,[[[.,.],.],[[.,.],.]]],.]     => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[[.,[[.,[.,[.,.]]],[.,.]]],.]     => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[[.,[[.,[[.,.],.]],[.,.]]],.]     => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[[.,[[[.,.],[.,.]],[.,.]]],.]     => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[[.,[[[.,[.,.]],.],[.,.]]],.]     => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[[.,[[[[.,.],.],.],[.,.]]],.]     => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[[.,[[.,[.,[.,[.,.]]]],.]],.]     => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[[.,[[.,[.,[[.,.],.]]],.]],.]     => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[[.,[[.,[[.,.],[.,.]]],.]],.]     => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[[.,[[.,[[.,[.,.]],.]],.]],.]     => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[[.,[[.,[[[.,.],.],.]],.]],.]     => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[[.,[[[.,.],[.,[.,.]]],.]],.]     => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[[.,[[[.,.],[[.,.],.]],.]],.]     => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[[.,[[[.,[.,.]],[.,.]],.]],.]     => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[[.,[[[[.,.],.],[.,.]],.]],.]     => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[[.,[[[.,[.,[.,.]]],.],.]],.]     => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[[.,[[[.,[[.,.],.]],.],.]],.]     => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[[.,[[[[.,.],[.,.]],.],.]],.]     => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[[.,[[[[.,[.,.]],.],.],.]],.]     => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[[.,[[[[[.,.],.],.],.],.]],.]     => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[[[.,.],[.,[.,[.,[.,.]]]]],.]     => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[[[.,.],[.,[.,[[.,.],.]]]],.]     => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[[[.,.],[.,[[.,.],[.,.]]]],.]     => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[[[.,.],[.,[[.,[.,.]],.]]],.]     => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[[[.,.],[.,[[[.,.],.],.]]],.]     => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[[[.,.],[[.,.],[.,[.,.]]]],.]     => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[[[.,.],[[.,.],[[.,.],.]]],.]     => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[[[.,.],[[.,[.,.]],[.,.]]],.]     => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[[[.,.],[[[.,.],.],[.,.]]],.]     => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[[[.,.],[[.,[.,[.,.]]],.]],.]     => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[[[.,.],[[.,[[.,.],.]],.]],.]     => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[[[.,.],[[[.,.],[.,.]],.]],.]     => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[[[.,.],[[[.,[.,.]],.],.]],.]     => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[[[.,.],[[[[.,.],.],.],.]],.]     => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[[[.,[.,.]],[.,[.,[.,.]]]],.]     => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[[[.,[.,.]],[.,[[.,.],.]]],.]     => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[[[.,[.,.]],[[.,.],[.,.]]],.]     => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[[[.,[.,.]],[[.,[.,.]],.]],.]     => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[[[.,[.,.]],[[[.,.],.],.]],.]     => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[[[[.,.],.],[.,[.,[.,.]]]],.]     => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[[[[.,.],.],[.,[[.,.],.]]],.]     => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[[[[.,.],.],[[.,.],[.,.]]],.]     => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[[[[.,.],.],[[.,[.,.]],.]],.]     => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[[[[.,.],.],[[[.,.],.],.]],.]     => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[[[.,[.,[.,.]]],[.,[.,.]]],.]     => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[[[.,[.,[.,.]]],[[.,.],.]],.]     => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[[[.,[[.,.],.]],[.,[.,.]]],.]     => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[[[.,[[.,.],.]],[[.,.],.]],.]     => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[[[[.,.],[.,.]],[.,[.,.]]],.]     => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[[[[.,.],[.,.]],[[.,.],.]],.]     => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[[[[.,[.,.]],.],[.,[.,.]]],.]     => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[[[[.,[.,.]],.],[[.,.],.]],.]     => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[[[[[.,.],.],.],[.,[.,.]]],.]     => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[[[[[.,.],.],.],[[.,.],.]],.]     => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[[[.,[.,[.,[.,.]]]],[.,.]],.]     => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[[[.,[.,[[.,.],.]]],[.,.]],.]     => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[[[.,[[.,.],[.,.]]],[.,.]],.]     => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[[[.,[[.,[.,.]],.]],[.,.]],.]     => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[[[.,[[[.,.],.],.]],[.,.]],.]     => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[[[[.,.],[.,[.,.]]],[.,.]],.]     => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[[[[.,.],[[.,.],.]],[.,.]],.]     => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[[[[.,[.,.]],[.,.]],[.,.]],.]     => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[[[[[.,.],.],[.,.]],[.,.]],.]     => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[[[[.,[.,[.,.]]],.],[.,.]],.]     => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[[[[.,[[.,.],.]],.],[.,.]],.]     => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[[[[[.,.],[.,.]],.],[.,.]],.]     => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[[[[[.,[.,.]],.],.],[.,.]],.]     => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[[[[[[.,.],.],.],.],[.,.]],.]     => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[[[.,[.,[.,[.,[.,.]]]]],.],.]     => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[[[.,[.,[.,[[.,.],.]]]],.],.]     => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[[[.,[.,[[.,.],[.,.]]]],.],.]     => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[[[.,[.,[[.,[.,.]],.]]],.],.]     => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[[[.,[.,[[[.,.],.],.]]],.],.]     => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[[[.,[[.,.],[.,[.,.]]]],.],.]     => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[[[.,[[.,.],[[.,.],.]]],.],.]     => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[[[.,[[.,[.,.]],[.,.]]],.],.]     => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[[[.,[[[.,.],.],[.,.]]],.],.]     => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[[[.,[[.,[.,[.,.]]],.]],.],.]     => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[[[.,[[.,[[.,.],.]],.]],.],.]     => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[[[.,[[[.,.],[.,.]],.]],.],.]     => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[[[.,[[[.,[.,.]],.],.]],.],.]     => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[[[.,[[[[.,.],.],.],.]],.],.]     => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[[[[.,.],[.,[.,[.,.]]]],.],.]     => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[[[[.,.],[.,[[.,.],.]]],.],.]     => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[[[[.,.],[[.,.],[.,.]]],.],.]     => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[[[[.,.],[[.,[.,.]],.]],.],.]     => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[[[[.,.],[[[.,.],.],.]],.],.]     => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[[[[.,[.,.]],[.,[.,.]]],.],.]     => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[[[[.,[.,.]],[[.,.],.]],.],.]     => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[[[[[.,.],.],[.,[.,.]]],.],.]     => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[[[[[.,.],.],[[.,.],.]],.],.]     => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[[[[.,[.,[.,.]]],[.,.]],.],.]     => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[[[[.,[[.,.],.]],[.,.]],.],.]     => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[[[[[.,.],[.,.]],[.,.]],.],.]     => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[[[[[.,[.,.]],.],[.,.]],.],.]     => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[[[[[[.,.],.],.],[.,.]],.],.]     => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[[[[.,[.,[.,[.,.]]]],.],.],.]     => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[[[[.,[.,[[.,.],.]]],.],.],.]     => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[[[[.,[[.,.],[.,.]]],.],.],.]     => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[[[[.,[[.,[.,.]],.]],.],.],.]     => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[[[[.,[[[.,.],.],.]],.],.],.]     => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[[[[[.,.],[.,[.,.]]],.],.],.]     => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[[[[[.,.],[[.,.],.]],.],.],.]     => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[[[[[.,[.,.]],[.,.]],.],.],.]     => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[[[[[[.,.],.],[.,.]],.],.],.]     => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[[[[[.,[.,[.,.]]],.],.],.],.]     => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[[[[[.,[[.,.],.]],.],.],.],.]     => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[[[[[[.,.],[.,.]],.],.],.],.]     => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[[[[[[.,[.,.]],.],.],.],.],.]     => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[[[[[[[.,.],.],.],.],.],.],.]     => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
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[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
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[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
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[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
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[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
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[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
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[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]

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Created: Jan 01, 2018 at 00:00 by FindStatCrew

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Last Updated: Jan 06, 2020 at 14:05 by Martin Rubey