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*    www.FindStat.org - The Combinatorial Statistic Finder             *
*                                                                      *
*    Copyright (C) 2013 The FindStatCrew <info@findstat.org>           *
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*    This information is distributed in the hope that it will be       *
*    useful, but WITHOUT ANY WARRANTY; without even the implied        *
*    warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  *
************************************************************************

------------------------------------------------------------------------
Map identifier: Mp00061

------------------------------------------------------------------------
Map name: to increasing tree

------------------------------------------------------------------------
Domain: Permutations

------------------------------------------------------------------------
Codomain: Binary trees

------------------------------------------------------------------------
Description: Sends a permutation to its associated increasing tree.

This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.

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

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

def mapping(sigma):
    return sigma.increasing_tree_shape()

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

[1]             => [.,.]
[1,2]           => [.,[.,.]]
[2,1]           => [[.,.],.]
[1,2,3]         => [.,[.,[.,.]]]
[1,3,2]         => [.,[[.,.],.]]
[2,1,3]         => [[.,.],[.,.]]
[2,3,1]         => [[.,[.,.]],.]
[3,1,2]         => [[.,.],[.,.]]
[3,2,1]         => [[[.,.],.],.]
[1,2,3,4]       => [.,[.,[.,[.,.]]]]
[1,2,4,3]       => [.,[.,[[.,.],.]]]
[1,3,2,4]       => [.,[[.,.],[.,.]]]
[1,3,4,2]       => [.,[[.,[.,.]],.]]
[1,4,2,3]       => [.,[[.,.],[.,.]]]
[1,4,3,2]       => [.,[[[.,.],.],.]]
[2,1,3,4]       => [[.,.],[.,[.,.]]]
[2,1,4,3]       => [[.,.],[[.,.],.]]
[2,3,1,4]       => [[.,[.,.]],[.,.]]
[2,3,4,1]       => [[.,[.,[.,.]]],.]
[2,4,1,3]       => [[.,[.,.]],[.,.]]
[2,4,3,1]       => [[.,[[.,.],.]],.]
[3,1,2,4]       => [[.,.],[.,[.,.]]]
[3,1,4,2]       => [[.,.],[[.,.],.]]
[3,2,1,4]       => [[[.,.],.],[.,.]]
[3,2,4,1]       => [[[.,.],[.,.]],.]
[3,4,1,2]       => [[.,[.,.]],[.,.]]
[3,4,2,1]       => [[[.,[.,.]],.],.]
[4,1,2,3]       => [[.,.],[.,[.,.]]]
[4,1,3,2]       => [[.,.],[[.,.],.]]
[4,2,1,3]       => [[[.,.],.],[.,.]]
[4,2,3,1]       => [[[.,.],[.,.]],.]
[4,3,1,2]       => [[[.,.],.],[.,.]]
[4,3,2,1]       => [[[[.,.],.],.],.]
[1,2,3,4,5]     => [.,[.,[.,[.,[.,.]]]]]
[1,2,3,5,4]     => [.,[.,[.,[[.,.],.]]]]
[1,2,4,3,5]     => [.,[.,[[.,.],[.,.]]]]
[1,2,4,5,3]     => [.,[.,[[.,[.,.]],.]]]
[1,2,5,3,4]     => [.,[.,[[.,.],[.,.]]]]
[1,2,5,4,3]     => [.,[.,[[[.,.],.],.]]]
[1,3,2,4,5]     => [.,[[.,.],[.,[.,.]]]]
[1,3,2,5,4]     => [.,[[.,.],[[.,.],.]]]
[1,3,4,2,5]     => [.,[[.,[.,.]],[.,.]]]
[1,3,4,5,2]     => [.,[[.,[.,[.,.]]],.]]
[1,3,5,2,4]     => [.,[[.,[.,.]],[.,.]]]
[1,3,5,4,2]     => [.,[[.,[[.,.],.]],.]]
[1,4,2,3,5]     => [.,[[.,.],[.,[.,.]]]]
[1,4,2,5,3]     => [.,[[.,.],[[.,.],.]]]
[1,4,3,2,5]     => [.,[[[.,.],.],[.,.]]]
[1,4,3,5,2]     => [.,[[[.,.],[.,.]],.]]
[1,4,5,2,3]     => [.,[[.,[.,.]],[.,.]]]
[1,4,5,3,2]     => [.,[[[.,[.,.]],.],.]]
[1,5,2,3,4]     => [.,[[.,.],[.,[.,.]]]]
[1,5,2,4,3]     => [.,[[.,.],[[.,.],.]]]
[1,5,3,2,4]     => [.,[[[.,.],.],[.,.]]]
[1,5,3,4,2]     => [.,[[[.,.],[.,.]],.]]
[1,5,4,2,3]     => [.,[[[.,.],.],[.,.]]]
[1,5,4,3,2]     => [.,[[[[.,.],.],.],.]]
[2,1,3,4,5]     => [[.,.],[.,[.,[.,.]]]]
[2,1,3,5,4]     => [[.,.],[.,[[.,.],.]]]
[2,1,4,3,5]     => [[.,.],[[.,.],[.,.]]]
[2,1,4,5,3]     => [[.,.],[[.,[.,.]],.]]
[2,1,5,3,4]     => [[.,.],[[.,.],[.,.]]]
[2,1,5,4,3]     => [[.,.],[[[.,.],.],.]]
[2,3,1,4,5]     => [[.,[.,.]],[.,[.,.]]]
[2,3,1,5,4]     => [[.,[.,.]],[[.,.],.]]
[2,3,4,1,5]     => [[.,[.,[.,.]]],[.,.]]
[2,3,4,5,1]     => [[.,[.,[.,[.,.]]]],.]
[2,3,5,1,4]     => [[.,[.,[.,.]]],[.,.]]
[2,3,5,4,1]     => [[.,[.,[[.,.],.]]],.]
[2,4,1,3,5]     => [[.,[.,.]],[.,[.,.]]]
[2,4,1,5,3]     => [[.,[.,.]],[[.,.],.]]
[2,4,3,1,5]     => [[.,[[.,.],.]],[.,.]]
[2,4,3,5,1]     => [[.,[[.,.],[.,.]]],.]
[2,4,5,1,3]     => [[.,[.,[.,.]]],[.,.]]
[2,4,5,3,1]     => [[.,[[.,[.,.]],.]],.]
[2,5,1,3,4]     => [[.,[.,.]],[.,[.,.]]]
[2,5,1,4,3]     => [[.,[.,.]],[[.,.],.]]
[2,5,3,1,4]     => [[.,[[.,.],.]],[.,.]]
[2,5,3,4,1]     => [[.,[[.,.],[.,.]]],.]
[2,5,4,1,3]     => [[.,[[.,.],.]],[.,.]]
[2,5,4,3,1]     => [[.,[[[.,.],.],.]],.]
[3,1,2,4,5]     => [[.,.],[.,[.,[.,.]]]]
[3,1,2,5,4]     => [[.,.],[.,[[.,.],.]]]
[3,1,4,2,5]     => [[.,.],[[.,.],[.,.]]]
[3,1,4,5,2]     => [[.,.],[[.,[.,.]],.]]
[3,1,5,2,4]     => [[.,.],[[.,.],[.,.]]]
[3,1,5,4,2]     => [[.,.],[[[.,.],.],.]]
[3,2,1,4,5]     => [[[.,.],.],[.,[.,.]]]
[3,2,1,5,4]     => [[[.,.],.],[[.,.],.]]
[3,2,4,1,5]     => [[[.,.],[.,.]],[.,.]]
[3,2,4,5,1]     => [[[.,.],[.,[.,.]]],.]
[3,2,5,1,4]     => [[[.,.],[.,.]],[.,.]]
[3,2,5,4,1]     => [[[.,.],[[.,.],.]],.]
[3,4,1,2,5]     => [[.,[.,.]],[.,[.,.]]]
[3,4,1,5,2]     => [[.,[.,.]],[[.,.],.]]
[3,4,2,1,5]     => [[[.,[.,.]],.],[.,.]]
[3,4,2,5,1]     => [[[.,[.,.]],[.,.]],.]
[3,4,5,1,2]     => [[.,[.,[.,.]]],[.,.]]
[3,4,5,2,1]     => [[[.,[.,[.,.]]],.],.]
[3,5,1,2,4]     => [[.,[.,.]],[.,[.,.]]]
[3,5,1,4,2]     => [[.,[.,.]],[[.,.],.]]
[3,5,2,1,4]     => [[[.,[.,.]],.],[.,.]]
[3,5,2,4,1]     => [[[.,[.,.]],[.,.]],.]
[3,5,4,1,2]     => [[.,[[.,.],.]],[.,.]]
[3,5,4,2,1]     => [[[.,[[.,.],.]],.],.]
[4,1,2,3,5]     => [[.,.],[.,[.,[.,.]]]]
[4,1,2,5,3]     => [[.,.],[.,[[.,.],.]]]
[4,1,3,2,5]     => [[.,.],[[.,.],[.,.]]]
[4,1,3,5,2]     => [[.,.],[[.,[.,.]],.]]
[4,1,5,2,3]     => [[.,.],[[.,.],[.,.]]]
[4,1,5,3,2]     => [[.,.],[[[.,.],.],.]]
[4,2,1,3,5]     => [[[.,.],.],[.,[.,.]]]
[4,2,1,5,3]     => [[[.,.],.],[[.,.],.]]
[4,2,3,1,5]     => [[[.,.],[.,.]],[.,.]]
[4,2,3,5,1]     => [[[.,.],[.,[.,.]]],.]
[4,2,5,1,3]     => [[[.,.],[.,.]],[.,.]]
[4,2,5,3,1]     => [[[.,.],[[.,.],.]],.]
[4,3,1,2,5]     => [[[.,.],.],[.,[.,.]]]
[4,3,1,5,2]     => [[[.,.],.],[[.,.],.]]
[4,3,2,1,5]     => [[[[.,.],.],.],[.,.]]
[4,3,2,5,1]     => [[[[.,.],.],[.,.]],.]
[4,3,5,1,2]     => [[[.,.],[.,.]],[.,.]]
[4,3,5,2,1]     => [[[[.,.],[.,.]],.],.]
[4,5,1,2,3]     => [[.,[.,.]],[.,[.,.]]]
[4,5,1,3,2]     => [[.,[.,.]],[[.,.],.]]
[4,5,2,1,3]     => [[[.,[.,.]],.],[.,.]]
[4,5,2,3,1]     => [[[.,[.,.]],[.,.]],.]
[4,5,3,1,2]     => [[[.,[.,.]],.],[.,.]]
[4,5,3,2,1]     => [[[[.,[.,.]],.],.],.]
[5,1,2,3,4]     => [[.,.],[.,[.,[.,.]]]]
[5,1,2,4,3]     => [[.,.],[.,[[.,.],.]]]
[5,1,3,2,4]     => [[.,.],[[.,.],[.,.]]]
[5,1,3,4,2]     => [[.,.],[[.,[.,.]],.]]
[5,1,4,2,3]     => [[.,.],[[.,.],[.,.]]]
[5,1,4,3,2]     => [[.,.],[[[.,.],.],.]]
[5,2,1,3,4]     => [[[.,.],.],[.,[.,.]]]
[5,2,1,4,3]     => [[[.,.],.],[[.,.],.]]
[5,2,3,1,4]     => [[[.,.],[.,.]],[.,.]]
[5,2,3,4,1]     => [[[.,.],[.,[.,.]]],.]
[5,2,4,1,3]     => [[[.,.],[.,.]],[.,.]]
[5,2,4,3,1]     => [[[.,.],[[.,.],.]],.]
[5,3,1,2,4]     => [[[.,.],.],[.,[.,.]]]
[5,3,1,4,2]     => [[[.,.],.],[[.,.],.]]
[5,3,2,1,4]     => [[[[.,.],.],.],[.,.]]
[5,3,2,4,1]     => [[[[.,.],.],[.,.]],.]
[5,3,4,1,2]     => [[[.,.],[.,.]],[.,.]]
[5,3,4,2,1]     => [[[[.,.],[.,.]],.],.]
[5,4,1,2,3]     => [[[.,.],.],[.,[.,.]]]
[5,4,1,3,2]     => [[[.,.],.],[[.,.],.]]
[5,4,2,1,3]     => [[[[.,.],.],.],[.,.]]
[5,4,2,3,1]     => [[[[.,.],.],[.,.]],.]
[5,4,3,1,2]     => [[[[.,.],.],.],[.,.]]
[5,4,3,2,1]     => [[[[[.,.],.],.],.],.]
[1,2,3,4,5,6]   => [.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,6,5]   => [.,[.,[.,[.,[[.,.],.]]]]]
[1,2,3,5,4,6]   => [.,[.,[.,[[.,.],[.,.]]]]]
[1,2,3,5,6,4]   => [.,[.,[.,[[.,[.,.]],.]]]]
[1,2,3,6,4,5]   => [.,[.,[.,[[.,.],[.,.]]]]]
[1,2,3,6,5,4]   => [.,[.,[.,[[[.,.],.],.]]]]
[1,2,4,3,5,6]   => [.,[.,[[.,.],[.,[.,.]]]]]
[1,2,4,3,6,5]   => [.,[.,[[.,.],[[.,.],.]]]]
[1,2,4,5,3,6]   => [.,[.,[[.,[.,.]],[.,.]]]]
[1,2,4,5,6,3]   => [.,[.,[[.,[.,[.,.]]],.]]]
[1,2,4,6,3,5]   => [.,[.,[[.,[.,.]],[.,.]]]]
[1,2,4,6,5,3]   => [.,[.,[[.,[[.,.],.]],.]]]
[1,2,5,3,4,6]   => [.,[.,[[.,.],[.,[.,.]]]]]
[1,2,5,3,6,4]   => [.,[.,[[.,.],[[.,.],.]]]]
[1,2,5,4,3,6]   => [.,[.,[[[.,.],.],[.,.]]]]
[1,2,5,4,6,3]   => [.,[.,[[[.,.],[.,.]],.]]]
[1,2,5,6,3,4]   => [.,[.,[[.,[.,.]],[.,.]]]]
[1,2,5,6,4,3]   => [.,[.,[[[.,[.,.]],.],.]]]
[1,2,6,3,4,5]   => [.,[.,[[.,.],[.,[.,.]]]]]
[1,2,6,3,5,4]   => [.,[.,[[.,.],[[.,.],.]]]]
[1,2,6,4,3,5]   => [.,[.,[[[.,.],.],[.,.]]]]
[1,2,6,4,5,3]   => [.,[.,[[[.,.],[.,.]],.]]]
[1,2,6,5,3,4]   => [.,[.,[[[.,.],.],[.,.]]]]
[1,2,6,5,4,3]   => [.,[.,[[[[.,.],.],.],.]]]
[1,3,2,4,5,6]   => [.,[[.,.],[.,[.,[.,.]]]]]
[1,3,2,4,6,5]   => [.,[[.,.],[.,[[.,.],.]]]]
[1,3,2,5,4,6]   => [.,[[.,.],[[.,.],[.,.]]]]
[1,3,2,5,6,4]   => [.,[[.,.],[[.,[.,.]],.]]]
[1,3,2,6,4,5]   => [.,[[.,.],[[.,.],[.,.]]]]
[1,3,2,6,5,4]   => [.,[[.,.],[[[.,.],.],.]]]
[1,3,4,2,5,6]   => [.,[[.,[.,.]],[.,[.,.]]]]
[1,3,4,2,6,5]   => [.,[[.,[.,.]],[[.,.],.]]]
[1,3,4,5,2,6]   => [.,[[.,[.,[.,.]]],[.,.]]]
[1,3,4,5,6,2]   => [.,[[.,[.,[.,[.,.]]]],.]]
[1,3,4,6,2,5]   => [.,[[.,[.,[.,.]]],[.,.]]]
[1,3,4,6,5,2]   => [.,[[.,[.,[[.,.],.]]],.]]
[1,3,5,2,4,6]   => [.,[[.,[.,.]],[.,[.,.]]]]
[1,3,5,2,6,4]   => [.,[[.,[.,.]],[[.,.],.]]]
[1,3,5,4,2,6]   => [.,[[.,[[.,.],.]],[.,.]]]
[1,3,5,4,6,2]   => [.,[[.,[[.,.],[.,.]]],.]]
[1,3,5,6,2,4]   => [.,[[.,[.,[.,.]]],[.,.]]]
[1,3,5,6,4,2]   => [.,[[.,[[.,[.,.]],.]],.]]
[1,3,6,2,4,5]   => [.,[[.,[.,.]],[.,[.,.]]]]
[1,3,6,2,5,4]   => [.,[[.,[.,.]],[[.,.],.]]]
[1,3,6,4,2,5]   => [.,[[.,[[.,.],.]],[.,.]]]
[1,3,6,4,5,2]   => [.,[[.,[[.,.],[.,.]]],.]]
[1,3,6,5,2,4]   => [.,[[.,[[.,.],.]],[.,.]]]
[1,3,6,5,4,2]   => [.,[[.,[[[.,.],.],.]],.]]
[1,4,2,3,5,6]   => [.,[[.,.],[.,[.,[.,.]]]]]
[1,4,2,3,6,5]   => [.,[[.,.],[.,[[.,.],.]]]]
[1,4,2,5,3,6]   => [.,[[.,.],[[.,.],[.,.]]]]
[1,4,2,5,6,3]   => [.,[[.,.],[[.,[.,.]],.]]]
[1,4,2,6,3,5]   => [.,[[.,.],[[.,.],[.,.]]]]
[1,4,2,6,5,3]   => [.,[[.,.],[[[.,.],.],.]]]
[1,4,3,2,5,6]   => [.,[[[.,.],.],[.,[.,.]]]]
[1,4,3,2,6,5]   => [.,[[[.,.],.],[[.,.],.]]]
[1,4,3,5,2,6]   => [.,[[[.,.],[.,.]],[.,.]]]
[1,4,3,5,6,2]   => [.,[[[.,.],[.,[.,.]]],.]]
[1,4,3,6,2,5]   => [.,[[[.,.],[.,.]],[.,.]]]
[1,4,3,6,5,2]   => [.,[[[.,.],[[.,.],.]],.]]
[1,4,5,2,3,6]   => [.,[[.,[.,.]],[.,[.,.]]]]
[1,4,5,2,6,3]   => [.,[[.,[.,.]],[[.,.],.]]]
[1,4,5,3,2,6]   => [.,[[[.,[.,.]],.],[.,.]]]
[1,4,5,3,6,2]   => [.,[[[.,[.,.]],[.,.]],.]]
[1,4,5,6,2,3]   => [.,[[.,[.,[.,.]]],[.,.]]]
[1,4,5,6,3,2]   => [.,[[[.,[.,[.,.]]],.],.]]
[1,4,6,2,3,5]   => [.,[[.,[.,.]],[.,[.,.]]]]
[1,4,6,2,5,3]   => [.,[[.,[.,.]],[[.,.],.]]]
[1,4,6,3,2,5]   => [.,[[[.,[.,.]],.],[.,.]]]
[1,4,6,3,5,2]   => [.,[[[.,[.,.]],[.,.]],.]]
[1,4,6,5,2,3]   => [.,[[.,[[.,.],.]],[.,.]]]
[1,4,6,5,3,2]   => [.,[[[.,[[.,.],.]],.],.]]
[1,5,2,3,4,6]   => [.,[[.,.],[.,[.,[.,.]]]]]
[1,5,2,3,6,4]   => [.,[[.,.],[.,[[.,.],.]]]]
[1,5,2,4,3,6]   => [.,[[.,.],[[.,.],[.,.]]]]
[1,5,2,4,6,3]   => [.,[[.,.],[[.,[.,.]],.]]]
[1,5,2,6,3,4]   => [.,[[.,.],[[.,.],[.,.]]]]
[1,5,2,6,4,3]   => [.,[[.,.],[[[.,.],.],.]]]
[1,5,3,2,4,6]   => [.,[[[.,.],.],[.,[.,.]]]]
[1,5,3,2,6,4]   => [.,[[[.,.],.],[[.,.],.]]]
[1,5,3,4,2,6]   => [.,[[[.,.],[.,.]],[.,.]]]
[1,5,3,4,6,2]   => [.,[[[.,.],[.,[.,.]]],.]]
[1,5,3,6,2,4]   => [.,[[[.,.],[.,.]],[.,.]]]
[1,5,3,6,4,2]   => [.,[[[.,.],[[.,.],.]],.]]
[1,5,4,2,3,6]   => [.,[[[.,.],.],[.,[.,.]]]]
[1,5,4,2,6,3]   => [.,[[[.,.],.],[[.,.],.]]]
[1,5,4,3,2,6]   => [.,[[[[.,.],.],.],[.,.]]]
[1,5,4,3,6,2]   => [.,[[[[.,.],.],[.,.]],.]]
[1,5,4,6,2,3]   => [.,[[[.,.],[.,.]],[.,.]]]
[1,5,4,6,3,2]   => [.,[[[[.,.],[.,.]],.],.]]
[1,5,6,2,3,4]   => [.,[[.,[.,.]],[.,[.,.]]]]
[1,5,6,2,4,3]   => [.,[[.,[.,.]],[[.,.],.]]]
[1,5,6,3,2,4]   => [.,[[[.,[.,.]],.],[.,.]]]
[1,5,6,3,4,2]   => [.,[[[.,[.,.]],[.,.]],.]]
[1,5,6,4,2,3]   => [.,[[[.,[.,.]],.],[.,.]]]
[1,5,6,4,3,2]   => [.,[[[[.,[.,.]],.],.],.]]
[1,6,2,3,4,5]   => [.,[[.,.],[.,[.,[.,.]]]]]
[1,6,2,3,5,4]   => [.,[[.,.],[.,[[.,.],.]]]]
[1,6,2,4,3,5]   => [.,[[.,.],[[.,.],[.,.]]]]
[1,6,2,4,5,3]   => [.,[[.,.],[[.,[.,.]],.]]]
[1,6,2,5,3,4]   => [.,[[.,.],[[.,.],[.,.]]]]
[1,6,2,5,4,3]   => [.,[[.,.],[[[.,.],.],.]]]
[1,6,3,2,4,5]   => [.,[[[.,.],.],[.,[.,.]]]]
[1,6,3,2,5,4]   => [.,[[[.,.],.],[[.,.],.]]]
[1,6,3,4,2,5]   => [.,[[[.,.],[.,.]],[.,.]]]
[1,6,3,4,5,2]   => [.,[[[.,.],[.,[.,.]]],.]]
[1,6,3,5,2,4]   => [.,[[[.,.],[.,.]],[.,.]]]
[1,6,3,5,4,2]   => [.,[[[.,.],[[.,.],.]],.]]
[1,6,4,2,3,5]   => [.,[[[.,.],.],[.,[.,.]]]]
[1,6,4,2,5,3]   => [.,[[[.,.],.],[[.,.],.]]]
[1,6,4,3,2,5]   => [.,[[[[.,.],.],.],[.,.]]]
[1,6,4,3,5,2]   => [.,[[[[.,.],.],[.,.]],.]]
[1,6,4,5,2,3]   => [.,[[[.,.],[.,.]],[.,.]]]
[1,6,4,5,3,2]   => [.,[[[[.,.],[.,.]],.],.]]
[1,6,5,2,3,4]   => [.,[[[.,.],.],[.,[.,.]]]]
[1,6,5,2,4,3]   => [.,[[[.,.],.],[[.,.],.]]]
[1,6,5,3,2,4]   => [.,[[[[.,.],.],.],[.,.]]]
[1,6,5,3,4,2]   => [.,[[[[.,.],.],[.,.]],.]]
[1,6,5,4,2,3]   => [.,[[[[.,.],.],.],[.,.]]]
[1,6,5,4,3,2]   => [.,[[[[[.,.],.],.],.],.]]
[2,1,3,4,5,6]   => [[.,.],[.,[.,[.,[.,.]]]]]
[2,1,3,4,6,5]   => [[.,.],[.,[.,[[.,.],.]]]]
[2,1,3,5,4,6]   => [[.,.],[.,[[.,.],[.,.]]]]
[2,1,3,5,6,4]   => [[.,.],[.,[[.,[.,.]],.]]]
[2,1,3,6,4,5]   => [[.,.],[.,[[.,.],[.,.]]]]
[2,1,3,6,5,4]   => [[.,.],[.,[[[.,.],.],.]]]
[2,1,4,3,5,6]   => [[.,.],[[.,.],[.,[.,.]]]]
[2,1,4,3,6,5]   => [[.,.],[[.,.],[[.,.],.]]]
[2,1,4,5,3,6]   => [[.,.],[[.,[.,.]],[.,.]]]
[2,1,4,5,6,3]   => [[.,.],[[.,[.,[.,.]]],.]]
[2,1,4,6,3,5]   => [[.,.],[[.,[.,.]],[.,.]]]
[2,1,4,6,5,3]   => [[.,.],[[.,[[.,.],.]],.]]
[2,1,5,3,4,6]   => [[.,.],[[.,.],[.,[.,.]]]]
[2,1,5,3,6,4]   => [[.,.],[[.,.],[[.,.],.]]]
[2,1,5,4,3,6]   => [[.,.],[[[.,.],.],[.,.]]]
[2,1,5,4,6,3]   => [[.,.],[[[.,.],[.,.]],.]]
[2,1,5,6,3,4]   => [[.,.],[[.,[.,.]],[.,.]]]
[2,1,5,6,4,3]   => [[.,.],[[[.,[.,.]],.],.]]
[2,1,6,3,4,5]   => [[.,.],[[.,.],[.,[.,.]]]]
[2,1,6,3,5,4]   => [[.,.],[[.,.],[[.,.],.]]]
[2,1,6,4,3,5]   => [[.,.],[[[.,.],.],[.,.]]]
[2,1,6,4,5,3]   => [[.,.],[[[.,.],[.,.]],.]]
[2,1,6,5,3,4]   => [[.,.],[[[.,.],.],[.,.]]]
[2,1,6,5,4,3]   => [[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,5,6]   => [[.,[.,.]],[.,[.,[.,.]]]]
[2,3,1,4,6,5]   => [[.,[.,.]],[.,[[.,.],.]]]
[2,3,1,5,4,6]   => [[.,[.,.]],[[.,.],[.,.]]]
[2,3,1,5,6,4]   => [[.,[.,.]],[[.,[.,.]],.]]
[2,3,1,6,4,5]   => [[.,[.,.]],[[.,.],[.,.]]]
[2,3,1,6,5,4]   => [[.,[.,.]],[[[.,.],.],.]]
[2,3,4,1,5,6]   => [[.,[.,[.,.]]],[.,[.,.]]]
[2,3,4,1,6,5]   => [[.,[.,[.,.]]],[[.,.],.]]
[2,3,4,5,1,6]   => [[.,[.,[.,[.,.]]]],[.,.]]
[2,3,4,5,6,1]   => [[.,[.,[.,[.,[.,.]]]]],.]
[2,3,4,6,1,5]   => [[.,[.,[.,[.,.]]]],[.,.]]
[2,3,4,6,5,1]   => [[.,[.,[.,[[.,.],.]]]],.]
[2,3,5,1,4,6]   => [[.,[.,[.,.]]],[.,[.,.]]]
[2,3,5,1,6,4]   => [[.,[.,[.,.]]],[[.,.],.]]
[2,3,5,4,1,6]   => [[.,[.,[[.,.],.]]],[.,.]]
[2,3,5,4,6,1]   => [[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,6,1,4]   => [[.,[.,[.,[.,.]]]],[.,.]]
[2,3,5,6,4,1]   => [[.,[.,[[.,[.,.]],.]]],.]
[2,3,6,1,4,5]   => [[.,[.,[.,.]]],[.,[.,.]]]
[2,3,6,1,5,4]   => [[.,[.,[.,.]]],[[.,.],.]]
[2,3,6,4,1,5]   => [[.,[.,[[.,.],.]]],[.,.]]
[2,3,6,4,5,1]   => [[.,[.,[[.,.],[.,.]]]],.]
[2,3,6,5,1,4]   => [[.,[.,[[.,.],.]]],[.,.]]
[2,3,6,5,4,1]   => [[.,[.,[[[.,.],.],.]]],.]
[2,4,1,3,5,6]   => [[.,[.,.]],[.,[.,[.,.]]]]
[2,4,1,3,6,5]   => [[.,[.,.]],[.,[[.,.],.]]]
[2,4,1,5,3,6]   => [[.,[.,.]],[[.,.],[.,.]]]
[2,4,1,5,6,3]   => [[.,[.,.]],[[.,[.,.]],.]]
[2,4,1,6,3,5]   => [[.,[.,.]],[[.,.],[.,.]]]
[2,4,1,6,5,3]   => [[.,[.,.]],[[[.,.],.],.]]
[2,4,3,1,5,6]   => [[.,[[.,.],.]],[.,[.,.]]]
[2,4,3,1,6,5]   => [[.,[[.,.],.]],[[.,.],.]]
[2,4,3,5,1,6]   => [[.,[[.,.],[.,.]]],[.,.]]
[2,4,3,5,6,1]   => [[.,[[.,.],[.,[.,.]]]],.]
[2,4,3,6,1,5]   => [[.,[[.,.],[.,.]]],[.,.]]
[2,4,3,6,5,1]   => [[.,[[.,.],[[.,.],.]]],.]
[2,4,5,1,3,6]   => [[.,[.,[.,.]]],[.,[.,.]]]
[2,4,5,1,6,3]   => [[.,[.,[.,.]]],[[.,.],.]]
[2,4,5,3,1,6]   => [[.,[[.,[.,.]],.]],[.,.]]
[2,4,5,3,6,1]   => [[.,[[.,[.,.]],[.,.]]],.]
[2,4,5,6,1,3]   => [[.,[.,[.,[.,.]]]],[.,.]]
[2,4,5,6,3,1]   => [[.,[[.,[.,[.,.]]],.]],.]
[2,4,6,1,3,5]   => [[.,[.,[.,.]]],[.,[.,.]]]
[2,4,6,1,5,3]   => [[.,[.,[.,.]]],[[.,.],.]]
[2,4,6,3,1,5]   => [[.,[[.,[.,.]],.]],[.,.]]
[2,4,6,3,5,1]   => [[.,[[.,[.,.]],[.,.]]],.]
[2,4,6,5,1,3]   => [[.,[.,[[.,.],.]]],[.,.]]
[2,4,6,5,3,1]   => [[.,[[.,[[.,.],.]],.]],.]
[2,5,1,3,4,6]   => [[.,[.,.]],[.,[.,[.,.]]]]
[2,5,1,3,6,4]   => [[.,[.,.]],[.,[[.,.],.]]]
[2,5,1,4,3,6]   => [[.,[.,.]],[[.,.],[.,.]]]
[2,5,1,4,6,3]   => [[.,[.,.]],[[.,[.,.]],.]]
[2,5,1,6,3,4]   => [[.,[.,.]],[[.,.],[.,.]]]
[2,5,1,6,4,3]   => [[.,[.,.]],[[[.,.],.],.]]
[2,5,3,1,4,6]   => [[.,[[.,.],.]],[.,[.,.]]]
[2,5,3,1,6,4]   => [[.,[[.,.],.]],[[.,.],.]]
[2,5,3,4,1,6]   => [[.,[[.,.],[.,.]]],[.,.]]
[2,5,3,4,6,1]   => [[.,[[.,.],[.,[.,.]]]],.]
[2,5,3,6,1,4]   => [[.,[[.,.],[.,.]]],[.,.]]
[2,5,3,6,4,1]   => [[.,[[.,.],[[.,.],.]]],.]
[2,5,4,1,3,6]   => [[.,[[.,.],.]],[.,[.,.]]]
[2,5,4,1,6,3]   => [[.,[[.,.],.]],[[.,.],.]]
[2,5,4,3,1,6]   => [[.,[[[.,.],.],.]],[.,.]]
[2,5,4,3,6,1]   => [[.,[[[.,.],.],[.,.]]],.]
[2,5,4,6,1,3]   => [[.,[[.,.],[.,.]]],[.,.]]
[2,5,4,6,3,1]   => [[.,[[[.,.],[.,.]],.]],.]
[2,5,6,1,3,4]   => [[.,[.,[.,.]]],[.,[.,.]]]
[2,5,6,1,4,3]   => [[.,[.,[.,.]]],[[.,.],.]]
[2,5,6,3,1,4]   => [[.,[[.,[.,.]],.]],[.,.]]
[2,5,6,3,4,1]   => [[.,[[.,[.,.]],[.,.]]],.]
[2,5,6,4,1,3]   => [[.,[[.,[.,.]],.]],[.,.]]
[2,5,6,4,3,1]   => [[.,[[[.,[.,.]],.],.]],.]
[2,6,1,3,4,5]   => [[.,[.,.]],[.,[.,[.,.]]]]
[2,6,1,3,5,4]   => [[.,[.,.]],[.,[[.,.],.]]]
[2,6,1,4,3,5]   => [[.,[.,.]],[[.,.],[.,.]]]
[2,6,1,4,5,3]   => [[.,[.,.]],[[.,[.,.]],.]]
[2,6,1,5,3,4]   => [[.,[.,.]],[[.,.],[.,.]]]
[2,6,1,5,4,3]   => [[.,[.,.]],[[[.,.],.],.]]
[2,6,3,1,4,5]   => [[.,[[.,.],.]],[.,[.,.]]]
[2,6,3,1,5,4]   => [[.,[[.,.],.]],[[.,.],.]]
[2,6,3,4,1,5]   => [[.,[[.,.],[.,.]]],[.,.]]
[2,6,3,4,5,1]   => [[.,[[.,.],[.,[.,.]]]],.]
[2,6,3,5,1,4]   => [[.,[[.,.],[.,.]]],[.,.]]
[2,6,3,5,4,1]   => [[.,[[.,.],[[.,.],.]]],.]
[2,6,4,1,3,5]   => [[.,[[.,.],.]],[.,[.,.]]]
[2,6,4,1,5,3]   => [[.,[[.,.],.]],[[.,.],.]]
[2,6,4,3,1,5]   => [[.,[[[.,.],.],.]],[.,.]]
[2,6,4,3,5,1]   => [[.,[[[.,.],.],[.,.]]],.]
[2,6,4,5,1,3]   => [[.,[[.,.],[.,.]]],[.,.]]
[2,6,4,5,3,1]   => [[.,[[[.,.],[.,.]],.]],.]
[2,6,5,1,3,4]   => [[.,[[.,.],.]],[.,[.,.]]]
[2,6,5,1,4,3]   => [[.,[[.,.],.]],[[.,.],.]]
[2,6,5,3,1,4]   => [[.,[[[.,.],.],.]],[.,.]]
[2,6,5,3,4,1]   => [[.,[[[.,.],.],[.,.]]],.]
[2,6,5,4,1,3]   => [[.,[[[.,.],.],.]],[.,.]]
[2,6,5,4,3,1]   => [[.,[[[[.,.],.],.],.]],.]
[3,1,2,4,5,6]   => [[.,.],[.,[.,[.,[.,.]]]]]
[3,1,2,4,6,5]   => [[.,.],[.,[.,[[.,.],.]]]]
[3,1,2,5,4,6]   => [[.,.],[.,[[.,.],[.,.]]]]
[3,1,2,5,6,4]   => [[.,.],[.,[[.,[.,.]],.]]]
[3,1,2,6,4,5]   => [[.,.],[.,[[.,.],[.,.]]]]
[3,1,2,6,5,4]   => [[.,.],[.,[[[.,.],.],.]]]
[3,1,4,2,5,6]   => [[.,.],[[.,.],[.,[.,.]]]]
[3,1,4,2,6,5]   => [[.,.],[[.,.],[[.,.],.]]]
[3,1,4,5,2,6]   => [[.,.],[[.,[.,.]],[.,.]]]
[3,1,4,5,6,2]   => [[.,.],[[.,[.,[.,.]]],.]]
[3,1,4,6,2,5]   => [[.,.],[[.,[.,.]],[.,.]]]
[3,1,4,6,5,2]   => [[.,.],[[.,[[.,.],.]],.]]
[3,1,5,2,4,6]   => [[.,.],[[.,.],[.,[.,.]]]]
[3,1,5,2,6,4]   => [[.,.],[[.,.],[[.,.],.]]]
[3,1,5,4,2,6]   => [[.,.],[[[.,.],.],[.,.]]]
[3,1,5,4,6,2]   => [[.,.],[[[.,.],[.,.]],.]]
[3,1,5,6,2,4]   => [[.,.],[[.,[.,.]],[.,.]]]
[3,1,5,6,4,2]   => [[.,.],[[[.,[.,.]],.],.]]
[3,1,6,2,4,5]   => [[.,.],[[.,.],[.,[.,.]]]]
[3,1,6,2,5,4]   => [[.,.],[[.,.],[[.,.],.]]]
[3,1,6,4,2,5]   => [[.,.],[[[.,.],.],[.,.]]]
[3,1,6,4,5,2]   => [[.,.],[[[.,.],[.,.]],.]]
[3,1,6,5,2,4]   => [[.,.],[[[.,.],.],[.,.]]]
[3,1,6,5,4,2]   => [[.,.],[[[[.,.],.],.],.]]
[3,2,1,4,5,6]   => [[[.,.],.],[.,[.,[.,.]]]]
[3,2,1,4,6,5]   => [[[.,.],.],[.,[[.,.],.]]]
[3,2,1,5,4,6]   => [[[.,.],.],[[.,.],[.,.]]]
[3,2,1,5,6,4]   => [[[.,.],.],[[.,[.,.]],.]]
[3,2,1,6,4,5]   => [[[.,.],.],[[.,.],[.,.]]]
[3,2,1,6,5,4]   => [[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,5,6]   => [[[.,.],[.,.]],[.,[.,.]]]
[3,2,4,1,6,5]   => [[[.,.],[.,.]],[[.,.],.]]
[3,2,4,5,1,6]   => [[[.,.],[.,[.,.]]],[.,.]]
[3,2,4,5,6,1]   => [[[.,.],[.,[.,[.,.]]]],.]
[3,2,4,6,1,5]   => [[[.,.],[.,[.,.]]],[.,.]]
[3,2,4,6,5,1]   => [[[.,.],[.,[[.,.],.]]],.]
[3,2,5,1,4,6]   => [[[.,.],[.,.]],[.,[.,.]]]
[3,2,5,1,6,4]   => [[[.,.],[.,.]],[[.,.],.]]
[3,2,5,4,1,6]   => [[[.,.],[[.,.],.]],[.,.]]
[3,2,5,4,6,1]   => [[[.,.],[[.,.],[.,.]]],.]
[3,2,5,6,1,4]   => [[[.,.],[.,[.,.]]],[.,.]]
[3,2,5,6,4,1]   => [[[.,.],[[.,[.,.]],.]],.]
[3,2,6,1,4,5]   => [[[.,.],[.,.]],[.,[.,.]]]
[3,2,6,1,5,4]   => [[[.,.],[.,.]],[[.,.],.]]
[3,2,6,4,1,5]   => [[[.,.],[[.,.],.]],[.,.]]
[3,2,6,4,5,1]   => [[[.,.],[[.,.],[.,.]]],.]
[3,2,6,5,1,4]   => [[[.,.],[[.,.],.]],[.,.]]
[3,2,6,5,4,1]   => [[[.,.],[[[.,.],.],.]],.]
[3,4,1,2,5,6]   => [[.,[.,.]],[.,[.,[.,.]]]]
[3,4,1,2,6,5]   => [[.,[.,.]],[.,[[.,.],.]]]
[3,4,1,5,2,6]   => [[.,[.,.]],[[.,.],[.,.]]]
[3,4,1,5,6,2]   => [[.,[.,.]],[[.,[.,.]],.]]
[3,4,1,6,2,5]   => [[.,[.,.]],[[.,.],[.,.]]]
[3,4,1,6,5,2]   => [[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,5,6]   => [[[.,[.,.]],.],[.,[.,.]]]
[3,4,2,1,6,5]   => [[[.,[.,.]],.],[[.,.],.]]
[3,4,2,5,1,6]   => [[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,5,6,1]   => [[[.,[.,.]],[.,[.,.]]],.]
[3,4,2,6,1,5]   => [[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,6,5,1]   => [[[.,[.,.]],[[.,.],.]],.]
[3,4,5,1,2,6]   => [[.,[.,[.,.]]],[.,[.,.]]]
[3,4,5,1,6,2]   => [[.,[.,[.,.]]],[[.,.],.]]
[3,4,5,2,1,6]   => [[[.,[.,[.,.]]],.],[.,.]]
[3,4,5,2,6,1]   => [[[.,[.,[.,.]]],[.,.]],.]
[3,4,5,6,1,2]   => [[.,[.,[.,[.,.]]]],[.,.]]
[3,4,5,6,2,1]   => [[[.,[.,[.,[.,.]]]],.],.]
[3,4,6,1,2,5]   => [[.,[.,[.,.]]],[.,[.,.]]]
[3,4,6,1,5,2]   => [[.,[.,[.,.]]],[[.,.],.]]
[3,4,6,2,1,5]   => [[[.,[.,[.,.]]],.],[.,.]]
[3,4,6,2,5,1]   => [[[.,[.,[.,.]]],[.,.]],.]
[3,4,6,5,1,2]   => [[.,[.,[[.,.],.]]],[.,.]]
[3,4,6,5,2,1]   => [[[.,[.,[[.,.],.]]],.],.]
[3,5,1,2,4,6]   => [[.,[.,.]],[.,[.,[.,.]]]]
[3,5,1,2,6,4]   => [[.,[.,.]],[.,[[.,.],.]]]
[3,5,1,4,2,6]   => [[.,[.,.]],[[.,.],[.,.]]]
[3,5,1,4,6,2]   => [[.,[.,.]],[[.,[.,.]],.]]
[3,5,1,6,2,4]   => [[.,[.,.]],[[.,.],[.,.]]]
[3,5,1,6,4,2]   => [[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,4,6]   => [[[.,[.,.]],.],[.,[.,.]]]
[3,5,2,1,6,4]   => [[[.,[.,.]],.],[[.,.],.]]
[3,5,2,4,1,6]   => [[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,4,6,1]   => [[[.,[.,.]],[.,[.,.]]],.]
[3,5,2,6,1,4]   => [[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,6,4,1]   => [[[.,[.,.]],[[.,.],.]],.]
[3,5,4,1,2,6]   => [[.,[[.,.],.]],[.,[.,.]]]
[3,5,4,1,6,2]   => [[.,[[.,.],.]],[[.,.],.]]
[3,5,4,2,1,6]   => [[[.,[[.,.],.]],.],[.,.]]
[3,5,4,2,6,1]   => [[[.,[[.,.],.]],[.,.]],.]
[3,5,4,6,1,2]   => [[.,[[.,.],[.,.]]],[.,.]]
[3,5,4,6,2,1]   => [[[.,[[.,.],[.,.]]],.],.]
[3,5,6,1,2,4]   => [[.,[.,[.,.]]],[.,[.,.]]]
[3,5,6,1,4,2]   => [[.,[.,[.,.]]],[[.,.],.]]
[3,5,6,2,1,4]   => [[[.,[.,[.,.]]],.],[.,.]]
[3,5,6,2,4,1]   => [[[.,[.,[.,.]]],[.,.]],.]
[3,5,6,4,1,2]   => [[.,[[.,[.,.]],.]],[.,.]]
[3,5,6,4,2,1]   => [[[.,[[.,[.,.]],.]],.],.]
[3,6,1,2,4,5]   => [[.,[.,.]],[.,[.,[.,.]]]]
[3,6,1,2,5,4]   => [[.,[.,.]],[.,[[.,.],.]]]
[3,6,1,4,2,5]   => [[.,[.,.]],[[.,.],[.,.]]]
[3,6,1,4,5,2]   => [[.,[.,.]],[[.,[.,.]],.]]
[3,6,1,5,2,4]   => [[.,[.,.]],[[.,.],[.,.]]]
[3,6,1,5,4,2]   => [[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,4,5]   => [[[.,[.,.]],.],[.,[.,.]]]
[3,6,2,1,5,4]   => [[[.,[.,.]],.],[[.,.],.]]
[3,6,2,4,1,5]   => [[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,4,5,1]   => [[[.,[.,.]],[.,[.,.]]],.]
[3,6,2,5,1,4]   => [[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,5,4,1]   => [[[.,[.,.]],[[.,.],.]],.]
[3,6,4,1,2,5]   => [[.,[[.,.],.]],[.,[.,.]]]
[3,6,4,1,5,2]   => [[.,[[.,.],.]],[[.,.],.]]
[3,6,4,2,1,5]   => [[[.,[[.,.],.]],.],[.,.]]
[3,6,4,2,5,1]   => [[[.,[[.,.],.]],[.,.]],.]
[3,6,4,5,1,2]   => [[.,[[.,.],[.,.]]],[.,.]]
[3,6,4,5,2,1]   => [[[.,[[.,.],[.,.]]],.],.]
[3,6,5,1,2,4]   => [[.,[[.,.],.]],[.,[.,.]]]
[3,6,5,1,4,2]   => [[.,[[.,.],.]],[[.,.],.]]
[3,6,5,2,1,4]   => [[[.,[[.,.],.]],.],[.,.]]
[3,6,5,2,4,1]   => [[[.,[[.,.],.]],[.,.]],.]
[3,6,5,4,1,2]   => [[.,[[[.,.],.],.]],[.,.]]
[3,6,5,4,2,1]   => [[[.,[[[.,.],.],.]],.],.]
[4,1,2,3,5,6]   => [[.,.],[.,[.,[.,[.,.]]]]]
[4,1,2,3,6,5]   => [[.,.],[.,[.,[[.,.],.]]]]
[4,1,2,5,3,6]   => [[.,.],[.,[[.,.],[.,.]]]]
[4,1,2,5,6,3]   => [[.,.],[.,[[.,[.,.]],.]]]
[4,1,2,6,3,5]   => [[.,.],[.,[[.,.],[.,.]]]]
[4,1,2,6,5,3]   => [[.,.],[.,[[[.,.],.],.]]]
[4,1,3,2,5,6]   => [[.,.],[[.,.],[.,[.,.]]]]
[4,1,3,2,6,5]   => [[.,.],[[.,.],[[.,.],.]]]
[4,1,3,5,2,6]   => [[.,.],[[.,[.,.]],[.,.]]]
[4,1,3,5,6,2]   => [[.,.],[[.,[.,[.,.]]],.]]
[4,1,3,6,2,5]   => [[.,.],[[.,[.,.]],[.,.]]]
[4,1,3,6,5,2]   => [[.,.],[[.,[[.,.],.]],.]]
[4,1,5,2,3,6]   => [[.,.],[[.,.],[.,[.,.]]]]
[4,1,5,2,6,3]   => [[.,.],[[.,.],[[.,.],.]]]
[4,1,5,3,2,6]   => [[.,.],[[[.,.],.],[.,.]]]
[4,1,5,3,6,2]   => [[.,.],[[[.,.],[.,.]],.]]
[4,1,5,6,2,3]   => [[.,.],[[.,[.,.]],[.,.]]]
[4,1,5,6,3,2]   => [[.,.],[[[.,[.,.]],.],.]]
[4,1,6,2,3,5]   => [[.,.],[[.,.],[.,[.,.]]]]
[4,1,6,2,5,3]   => [[.,.],[[.,.],[[.,.],.]]]
[4,1,6,3,2,5]   => [[.,.],[[[.,.],.],[.,.]]]
[4,1,6,3,5,2]   => [[.,.],[[[.,.],[.,.]],.]]
[4,1,6,5,2,3]   => [[.,.],[[[.,.],.],[.,.]]]
[4,1,6,5,3,2]   => [[.,.],[[[[.,.],.],.],.]]
[4,2,1,3,5,6]   => [[[.,.],.],[.,[.,[.,.]]]]
[4,2,1,3,6,5]   => [[[.,.],.],[.,[[.,.],.]]]
[4,2,1,5,3,6]   => [[[.,.],.],[[.,.],[.,.]]]
[4,2,1,5,6,3]   => [[[.,.],.],[[.,[.,.]],.]]
[4,2,1,6,3,5]   => [[[.,.],.],[[.,.],[.,.]]]
[4,2,1,6,5,3]   => [[[.,.],.],[[[.,.],.],.]]
[4,2,3,1,5,6]   => [[[.,.],[.,.]],[.,[.,.]]]
[4,2,3,1,6,5]   => [[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,1,6]   => [[[.,.],[.,[.,.]]],[.,.]]
[4,2,3,5,6,1]   => [[[.,.],[.,[.,[.,.]]]],.]
[4,2,3,6,1,5]   => [[[.,.],[.,[.,.]]],[.,.]]
[4,2,3,6,5,1]   => [[[.,.],[.,[[.,.],.]]],.]
[4,2,5,1,3,6]   => [[[.,.],[.,.]],[.,[.,.]]]
[4,2,5,1,6,3]   => [[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,1,6]   => [[[.,.],[[.,.],.]],[.,.]]
[4,2,5,3,6,1]   => [[[.,.],[[.,.],[.,.]]],.]
[4,2,5,6,1,3]   => [[[.,.],[.,[.,.]]],[.,.]]
[4,2,5,6,3,1]   => [[[.,.],[[.,[.,.]],.]],.]
[4,2,6,1,3,5]   => [[[.,.],[.,.]],[.,[.,.]]]
[4,2,6,1,5,3]   => [[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,1,5]   => [[[.,.],[[.,.],.]],[.,.]]
[4,2,6,3,5,1]   => [[[.,.],[[.,.],[.,.]]],.]
[4,2,6,5,1,3]   => [[[.,.],[[.,.],.]],[.,.]]
[4,2,6,5,3,1]   => [[[.,.],[[[.,.],.],.]],.]
[4,3,1,2,5,6]   => [[[.,.],.],[.,[.,[.,.]]]]
[4,3,1,2,6,5]   => [[[.,.],.],[.,[[.,.],.]]]
[4,3,1,5,2,6]   => [[[.,.],.],[[.,.],[.,.]]]
[4,3,1,5,6,2]   => [[[.,.],.],[[.,[.,.]],.]]
[4,3,1,6,2,5]   => [[[.,.],.],[[.,.],[.,.]]]
[4,3,1,6,5,2]   => [[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,5,6]   => [[[[.,.],.],.],[.,[.,.]]]
[4,3,2,1,6,5]   => [[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,1,6]   => [[[[.,.],.],[.,.]],[.,.]]
[4,3,2,5,6,1]   => [[[[.,.],.],[.,[.,.]]],.]
[4,3,2,6,1,5]   => [[[[.,.],.],[.,.]],[.,.]]
[4,3,2,6,5,1]   => [[[[.,.],.],[[.,.],.]],.]
[4,3,5,1,2,6]   => [[[.,.],[.,.]],[.,[.,.]]]
[4,3,5,1,6,2]   => [[[.,.],[.,.]],[[.,.],.]]
[4,3,5,2,1,6]   => [[[[.,.],[.,.]],.],[.,.]]
[4,3,5,2,6,1]   => [[[[.,.],[.,.]],[.,.]],.]
[4,3,5,6,1,2]   => [[[.,.],[.,[.,.]]],[.,.]]
[4,3,5,6,2,1]   => [[[[.,.],[.,[.,.]]],.],.]
[4,3,6,1,2,5]   => [[[.,.],[.,.]],[.,[.,.]]]
[4,3,6,1,5,2]   => [[[.,.],[.,.]],[[.,.],.]]
[4,3,6,2,1,5]   => [[[[.,.],[.,.]],.],[.,.]]
[4,3,6,2,5,1]   => [[[[.,.],[.,.]],[.,.]],.]
[4,3,6,5,1,2]   => [[[.,.],[[.,.],.]],[.,.]]
[4,3,6,5,2,1]   => [[[[.,.],[[.,.],.]],.],.]
[4,5,1,2,3,6]   => [[.,[.,.]],[.,[.,[.,.]]]]
[4,5,1,2,6,3]   => [[.,[.,.]],[.,[[.,.],.]]]
[4,5,1,3,2,6]   => [[.,[.,.]],[[.,.],[.,.]]]
[4,5,1,3,6,2]   => [[.,[.,.]],[[.,[.,.]],.]]
[4,5,1,6,2,3]   => [[.,[.,.]],[[.,.],[.,.]]]
[4,5,1,6,3,2]   => [[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,3,6]   => [[[.,[.,.]],.],[.,[.,.]]]
[4,5,2,1,6,3]   => [[[.,[.,.]],.],[[.,.],.]]
[4,5,2,3,1,6]   => [[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,3,6,1]   => [[[.,[.,.]],[.,[.,.]]],.]
[4,5,2,6,1,3]   => [[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,6,3,1]   => [[[.,[.,.]],[[.,.],.]],.]
[4,5,3,1,2,6]   => [[[.,[.,.]],.],[.,[.,.]]]
[4,5,3,1,6,2]   => [[[.,[.,.]],.],[[.,.],.]]
[4,5,3,2,1,6]   => [[[[.,[.,.]],.],.],[.,.]]
[4,5,3,2,6,1]   => [[[[.,[.,.]],.],[.,.]],.]
[4,5,3,6,1,2]   => [[[.,[.,.]],[.,.]],[.,.]]
[4,5,3,6,2,1]   => [[[[.,[.,.]],[.,.]],.],.]
[4,5,6,1,2,3]   => [[.,[.,[.,.]]],[.,[.,.]]]
[4,5,6,1,3,2]   => [[.,[.,[.,.]]],[[.,.],.]]
[4,5,6,2,1,3]   => [[[.,[.,[.,.]]],.],[.,.]]
[4,5,6,2,3,1]   => [[[.,[.,[.,.]]],[.,.]],.]
[4,5,6,3,1,2]   => [[[.,[.,[.,.]]],.],[.,.]]
[4,5,6,3,2,1]   => [[[[.,[.,[.,.]]],.],.],.]
[4,6,1,2,3,5]   => [[.,[.,.]],[.,[.,[.,.]]]]
[4,6,1,2,5,3]   => [[.,[.,.]],[.,[[.,.],.]]]
[4,6,1,3,2,5]   => [[.,[.,.]],[[.,.],[.,.]]]
[4,6,1,3,5,2]   => [[.,[.,.]],[[.,[.,.]],.]]
[4,6,1,5,2,3]   => [[.,[.,.]],[[.,.],[.,.]]]
[4,6,1,5,3,2]   => [[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,3,5]   => [[[.,[.,.]],.],[.,[.,.]]]
[4,6,2,1,5,3]   => [[[.,[.,.]],.],[[.,.],.]]
[4,6,2,3,1,5]   => [[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,3,5,1]   => [[[.,[.,.]],[.,[.,.]]],.]
[4,6,2,5,1,3]   => [[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,5,3,1]   => [[[.,[.,.]],[[.,.],.]],.]
[4,6,3,1,2,5]   => [[[.,[.,.]],.],[.,[.,.]]]
[4,6,3,1,5,2]   => [[[.,[.,.]],.],[[.,.],.]]
[4,6,3,2,1,5]   => [[[[.,[.,.]],.],.],[.,.]]
[4,6,3,2,5,1]   => [[[[.,[.,.]],.],[.,.]],.]
[4,6,3,5,1,2]   => [[[.,[.,.]],[.,.]],[.,.]]
[4,6,3,5,2,1]   => [[[[.,[.,.]],[.,.]],.],.]
[4,6,5,1,2,3]   => [[.,[[.,.],.]],[.,[.,.]]]
[4,6,5,1,3,2]   => [[.,[[.,.],.]],[[.,.],.]]
[4,6,5,2,1,3]   => [[[.,[[.,.],.]],.],[.,.]]
[4,6,5,2,3,1]   => [[[.,[[.,.],.]],[.,.]],.]
[4,6,5,3,1,2]   => [[[.,[[.,.],.]],.],[.,.]]
[4,6,5,3,2,1]   => [[[[.,[[.,.],.]],.],.],.]
[5,1,2,3,4,6]   => [[.,.],[.,[.,[.,[.,.]]]]]
[5,1,2,3,6,4]   => [[.,.],[.,[.,[[.,.],.]]]]
[5,1,2,4,3,6]   => [[.,.],[.,[[.,.],[.,.]]]]
[5,1,2,4,6,3]   => [[.,.],[.,[[.,[.,.]],.]]]
[5,1,2,6,3,4]   => [[.,.],[.,[[.,.],[.,.]]]]
[5,1,2,6,4,3]   => [[.,.],[.,[[[.,.],.],.]]]
[5,1,3,2,4,6]   => [[.,.],[[.,.],[.,[.,.]]]]
[5,1,3,2,6,4]   => [[.,.],[[.,.],[[.,.],.]]]
[5,1,3,4,2,6]   => [[.,.],[[.,[.,.]],[.,.]]]
[5,1,3,4,6,2]   => [[.,.],[[.,[.,[.,.]]],.]]
[5,1,3,6,2,4]   => [[.,.],[[.,[.,.]],[.,.]]]
[5,1,3,6,4,2]   => [[.,.],[[.,[[.,.],.]],.]]
[5,1,4,2,3,6]   => [[.,.],[[.,.],[.,[.,.]]]]
[5,1,4,2,6,3]   => [[.,.],[[.,.],[[.,.],.]]]
[5,1,4,3,2,6]   => [[.,.],[[[.,.],.],[.,.]]]
[5,1,4,3,6,2]   => [[.,.],[[[.,.],[.,.]],.]]
[5,1,4,6,2,3]   => [[.,.],[[.,[.,.]],[.,.]]]
[5,1,4,6,3,2]   => [[.,.],[[[.,[.,.]],.],.]]
[5,1,6,2,3,4]   => [[.,.],[[.,.],[.,[.,.]]]]
[5,1,6,2,4,3]   => [[.,.],[[.,.],[[.,.],.]]]
[5,1,6,3,2,4]   => [[.,.],[[[.,.],.],[.,.]]]
[5,1,6,3,4,2]   => [[.,.],[[[.,.],[.,.]],.]]
[5,1,6,4,2,3]   => [[.,.],[[[.,.],.],[.,.]]]
[5,1,6,4,3,2]   => [[.,.],[[[[.,.],.],.],.]]
[5,2,1,3,4,6]   => [[[.,.],.],[.,[.,[.,.]]]]
[5,2,1,3,6,4]   => [[[.,.],.],[.,[[.,.],.]]]
[5,2,1,4,3,6]   => [[[.,.],.],[[.,.],[.,.]]]
[5,2,1,4,6,3]   => [[[.,.],.],[[.,[.,.]],.]]
[5,2,1,6,3,4]   => [[[.,.],.],[[.,.],[.,.]]]
[5,2,1,6,4,3]   => [[[.,.],.],[[[.,.],.],.]]
[5,2,3,1,4,6]   => [[[.,.],[.,.]],[.,[.,.]]]
[5,2,3,1,6,4]   => [[[.,.],[.,.]],[[.,.],.]]
[5,2,3,4,1,6]   => [[[.,.],[.,[.,.]]],[.,.]]
[5,2,3,4,6,1]   => [[[.,.],[.,[.,[.,.]]]],.]
[5,2,3,6,1,4]   => [[[.,.],[.,[.,.]]],[.,.]]
[5,2,3,6,4,1]   => [[[.,.],[.,[[.,.],.]]],.]
[5,2,4,1,3,6]   => [[[.,.],[.,.]],[.,[.,.]]]
[5,2,4,1,6,3]   => [[[.,.],[.,.]],[[.,.],.]]
[5,2,4,3,1,6]   => [[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,6,1]   => [[[.,.],[[.,.],[.,.]]],.]
[5,2,4,6,1,3]   => [[[.,.],[.,[.,.]]],[.,.]]
[5,2,4,6,3,1]   => [[[.,.],[[.,[.,.]],.]],.]
[5,2,6,1,3,4]   => [[[.,.],[.,.]],[.,[.,.]]]
[5,2,6,1,4,3]   => [[[.,.],[.,.]],[[.,.],.]]
[5,2,6,3,1,4]   => [[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,4,1]   => [[[.,.],[[.,.],[.,.]]],.]
[5,2,6,4,1,3]   => [[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,3,1]   => [[[.,.],[[[.,.],.],.]],.]
[5,3,1,2,4,6]   => [[[.,.],.],[.,[.,[.,.]]]]
[5,3,1,2,6,4]   => [[[.,.],.],[.,[[.,.],.]]]
[5,3,1,4,2,6]   => [[[.,.],.],[[.,.],[.,.]]]
[5,3,1,4,6,2]   => [[[.,.],.],[[.,[.,.]],.]]
[5,3,1,6,2,4]   => [[[.,.],.],[[.,.],[.,.]]]
[5,3,1,6,4,2]   => [[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,4,6]   => [[[[.,.],.],.],[.,[.,.]]]
[5,3,2,1,6,4]   => [[[[.,.],.],.],[[.,.],.]]
[5,3,2,4,1,6]   => [[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,6,1]   => [[[[.,.],.],[.,[.,.]]],.]
[5,3,2,6,1,4]   => [[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,4,1]   => [[[[.,.],.],[[.,.],.]],.]
[5,3,4,1,2,6]   => [[[.,.],[.,.]],[.,[.,.]]]
[5,3,4,1,6,2]   => [[[.,.],[.,.]],[[.,.],.]]
[5,3,4,2,1,6]   => [[[[.,.],[.,.]],.],[.,.]]
[5,3,4,2,6,1]   => [[[[.,.],[.,.]],[.,.]],.]
[5,3,4,6,1,2]   => [[[.,.],[.,[.,.]]],[.,.]]
[5,3,4,6,2,1]   => [[[[.,.],[.,[.,.]]],.],.]
[5,3,6,1,2,4]   => [[[.,.],[.,.]],[.,[.,.]]]
[5,3,6,1,4,2]   => [[[.,.],[.,.]],[[.,.],.]]
[5,3,6,2,1,4]   => [[[[.,.],[.,.]],.],[.,.]]
[5,3,6,2,4,1]   => [[[[.,.],[.,.]],[.,.]],.]
[5,3,6,4,1,2]   => [[[.,.],[[.,.],.]],[.,.]]
[5,3,6,4,2,1]   => [[[[.,.],[[.,.],.]],.],.]
[5,4,1,2,3,6]   => [[[.,.],.],[.,[.,[.,.]]]]
[5,4,1,2,6,3]   => [[[.,.],.],[.,[[.,.],.]]]
[5,4,1,3,2,6]   => [[[.,.],.],[[.,.],[.,.]]]
[5,4,1,3,6,2]   => [[[.,.],.],[[.,[.,.]],.]]
[5,4,1,6,2,3]   => [[[.,.],.],[[.,.],[.,.]]]
[5,4,1,6,3,2]   => [[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,3,6]   => [[[[.,.],.],.],[.,[.,.]]]
[5,4,2,1,6,3]   => [[[[.,.],.],.],[[.,.],.]]
[5,4,2,3,1,6]   => [[[[.,.],.],[.,.]],[.,.]]
[5,4,2,3,6,1]   => [[[[.,.],.],[.,[.,.]]],.]
[5,4,2,6,1,3]   => [[[[.,.],.],[.,.]],[.,.]]
[5,4,2,6,3,1]   => [[[[.,.],.],[[.,.],.]],.]
[5,4,3,1,2,6]   => [[[[.,.],.],.],[.,[.,.]]]
[5,4,3,1,6,2]   => [[[[.,.],.],.],[[.,.],.]]
[5,4,3,2,1,6]   => [[[[[.,.],.],.],.],[.,.]]
[5,4,3,2,6,1]   => [[[[[.,.],.],.],[.,.]],.]
[5,4,3,6,1,2]   => [[[[.,.],.],[.,.]],[.,.]]
[5,4,3,6,2,1]   => [[[[[.,.],.],[.,.]],.],.]
[5,4,6,1,2,3]   => [[[.,.],[.,.]],[.,[.,.]]]
[5,4,6,1,3,2]   => [[[.,.],[.,.]],[[.,.],.]]
[5,4,6,2,1,3]   => [[[[.,.],[.,.]],.],[.,.]]
[5,4,6,2,3,1]   => [[[[.,.],[.,.]],[.,.]],.]
[5,4,6,3,1,2]   => [[[[.,.],[.,.]],.],[.,.]]
[5,4,6,3,2,1]   => [[[[[.,.],[.,.]],.],.],.]
[5,6,1,2,3,4]   => [[.,[.,.]],[.,[.,[.,.]]]]
[5,6,1,2,4,3]   => [[.,[.,.]],[.,[[.,.],.]]]
[5,6,1,3,2,4]   => [[.,[.,.]],[[.,.],[.,.]]]
[5,6,1,3,4,2]   => [[.,[.,.]],[[.,[.,.]],.]]
[5,6,1,4,2,3]   => [[.,[.,.]],[[.,.],[.,.]]]
[5,6,1,4,3,2]   => [[.,[.,.]],[[[.,.],.],.]]
[5,6,2,1,3,4]   => [[[.,[.,.]],.],[.,[.,.]]]
[5,6,2,1,4,3]   => [[[.,[.,.]],.],[[.,.],.]]
[5,6,2,3,1,4]   => [[[.,[.,.]],[.,.]],[.,.]]
[5,6,2,3,4,1]   => [[[.,[.,.]],[.,[.,.]]],.]
[5,6,2,4,1,3]   => [[[.,[.,.]],[.,.]],[.,.]]
[5,6,2,4,3,1]   => [[[.,[.,.]],[[.,.],.]],.]
[5,6,3,1,2,4]   => [[[.,[.,.]],.],[.,[.,.]]]
[5,6,3,1,4,2]   => [[[.,[.,.]],.],[[.,.],.]]
[5,6,3,2,1,4]   => [[[[.,[.,.]],.],.],[.,.]]
[5,6,3,2,4,1]   => [[[[.,[.,.]],.],[.,.]],.]
[5,6,3,4,1,2]   => [[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,4,2,1]   => [[[[.,[.,.]],[.,.]],.],.]
[5,6,4,1,2,3]   => [[[.,[.,.]],.],[.,[.,.]]]
[5,6,4,1,3,2]   => [[[.,[.,.]],.],[[.,.],.]]
[5,6,4,2,1,3]   => [[[[.,[.,.]],.],.],[.,.]]
[5,6,4,2,3,1]   => [[[[.,[.,.]],.],[.,.]],.]
[5,6,4,3,1,2]   => [[[[.,[.,.]],.],.],[.,.]]
[5,6,4,3,2,1]   => [[[[[.,[.,.]],.],.],.],.]
[6,1,2,3,4,5]   => [[.,.],[.,[.,[.,[.,.]]]]]
[6,1,2,3,5,4]   => [[.,.],[.,[.,[[.,.],.]]]]
[6,1,2,4,3,5]   => [[.,.],[.,[[.,.],[.,.]]]]
[6,1,2,4,5,3]   => [[.,.],[.,[[.,[.,.]],.]]]
[6,1,2,5,3,4]   => [[.,.],[.,[[.,.],[.,.]]]]
[6,1,2,5,4,3]   => [[.,.],[.,[[[.,.],.],.]]]
[6,1,3,2,4,5]   => [[.,.],[[.,.],[.,[.,.]]]]
[6,1,3,2,5,4]   => [[.,.],[[.,.],[[.,.],.]]]
[6,1,3,4,2,5]   => [[.,.],[[.,[.,.]],[.,.]]]
[6,1,3,4,5,2]   => [[.,.],[[.,[.,[.,.]]],.]]
[6,1,3,5,2,4]   => [[.,.],[[.,[.,.]],[.,.]]]
[6,1,3,5,4,2]   => [[.,.],[[.,[[.,.],.]],.]]
[6,1,4,2,3,5]   => [[.,.],[[.,.],[.,[.,.]]]]
[6,1,4,2,5,3]   => [[.,.],[[.,.],[[.,.],.]]]
[6,1,4,3,2,5]   => [[.,.],[[[.,.],.],[.,.]]]
[6,1,4,3,5,2]   => [[.,.],[[[.,.],[.,.]],.]]
[6,1,4,5,2,3]   => [[.,.],[[.,[.,.]],[.,.]]]
[6,1,4,5,3,2]   => [[.,.],[[[.,[.,.]],.],.]]
[6,1,5,2,3,4]   => [[.,.],[[.,.],[.,[.,.]]]]
[6,1,5,2,4,3]   => [[.,.],[[.,.],[[.,.],.]]]
[6,1,5,3,2,4]   => [[.,.],[[[.,.],.],[.,.]]]
[6,1,5,3,4,2]   => [[.,.],[[[.,.],[.,.]],.]]
[6,1,5,4,2,3]   => [[.,.],[[[.,.],.],[.,.]]]
[6,1,5,4,3,2]   => [[.,.],[[[[.,.],.],.],.]]
[6,2,1,3,4,5]   => [[[.,.],.],[.,[.,[.,.]]]]
[6,2,1,3,5,4]   => [[[.,.],.],[.,[[.,.],.]]]
[6,2,1,4,3,5]   => [[[.,.],.],[[.,.],[.,.]]]
[6,2,1,4,5,3]   => [[[.,.],.],[[.,[.,.]],.]]
[6,2,1,5,3,4]   => [[[.,.],.],[[.,.],[.,.]]]
[6,2,1,5,4,3]   => [[[.,.],.],[[[.,.],.],.]]
[6,2,3,1,4,5]   => [[[.,.],[.,.]],[.,[.,.]]]
[6,2,3,1,5,4]   => [[[.,.],[.,.]],[[.,.],.]]
[6,2,3,4,1,5]   => [[[.,.],[.,[.,.]]],[.,.]]
[6,2,3,4,5,1]   => [[[.,.],[.,[.,[.,.]]]],.]
[6,2,3,5,1,4]   => [[[.,.],[.,[.,.]]],[.,.]]
[6,2,3,5,4,1]   => [[[.,.],[.,[[.,.],.]]],.]
[6,2,4,1,3,5]   => [[[.,.],[.,.]],[.,[.,.]]]
[6,2,4,1,5,3]   => [[[.,.],[.,.]],[[.,.],.]]
[6,2,4,3,1,5]   => [[[.,.],[[.,.],.]],[.,.]]
[6,2,4,3,5,1]   => [[[.,.],[[.,.],[.,.]]],.]
[6,2,4,5,1,3]   => [[[.,.],[.,[.,.]]],[.,.]]
[6,2,4,5,3,1]   => [[[.,.],[[.,[.,.]],.]],.]
[6,2,5,1,3,4]   => [[[.,.],[.,.]],[.,[.,.]]]
[6,2,5,1,4,3]   => [[[.,.],[.,.]],[[.,.],.]]
[6,2,5,3,1,4]   => [[[.,.],[[.,.],.]],[.,.]]
[6,2,5,3,4,1]   => [[[.,.],[[.,.],[.,.]]],.]
[6,2,5,4,1,3]   => [[[.,.],[[.,.],.]],[.,.]]
[6,2,5,4,3,1]   => [[[.,.],[[[.,.],.],.]],.]
[6,3,1,2,4,5]   => [[[.,.],.],[.,[.,[.,.]]]]
[6,3,1,2,5,4]   => [[[.,.],.],[.,[[.,.],.]]]
[6,3,1,4,2,5]   => [[[.,.],.],[[.,.],[.,.]]]
[6,3,1,4,5,2]   => [[[.,.],.],[[.,[.,.]],.]]
[6,3,1,5,2,4]   => [[[.,.],.],[[.,.],[.,.]]]
[6,3,1,5,4,2]   => [[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,4,5]   => [[[[.,.],.],.],[.,[.,.]]]
[6,3,2,1,5,4]   => [[[[.,.],.],.],[[.,.],.]]
[6,3,2,4,1,5]   => [[[[.,.],.],[.,.]],[.,.]]
[6,3,2,4,5,1]   => [[[[.,.],.],[.,[.,.]]],.]
[6,3,2,5,1,4]   => [[[[.,.],.],[.,.]],[.,.]]
[6,3,2,5,4,1]   => [[[[.,.],.],[[.,.],.]],.]
[6,3,4,1,2,5]   => [[[.,.],[.,.]],[.,[.,.]]]
[6,3,4,1,5,2]   => [[[.,.],[.,.]],[[.,.],.]]
[6,3,4,2,1,5]   => [[[[.,.],[.,.]],.],[.,.]]
[6,3,4,2,5,1]   => [[[[.,.],[.,.]],[.,.]],.]
[6,3,4,5,1,2]   => [[[.,.],[.,[.,.]]],[.,.]]
[6,3,4,5,2,1]   => [[[[.,.],[.,[.,.]]],.],.]
[6,3,5,1,2,4]   => [[[.,.],[.,.]],[.,[.,.]]]
[6,3,5,1,4,2]   => [[[.,.],[.,.]],[[.,.],.]]
[6,3,5,2,1,4]   => [[[[.,.],[.,.]],.],[.,.]]
[6,3,5,2,4,1]   => [[[[.,.],[.,.]],[.,.]],.]
[6,3,5,4,1,2]   => [[[.,.],[[.,.],.]],[.,.]]
[6,3,5,4,2,1]   => [[[[.,.],[[.,.],.]],.],.]
[6,4,1,2,3,5]   => [[[.,.],.],[.,[.,[.,.]]]]
[6,4,1,2,5,3]   => [[[.,.],.],[.,[[.,.],.]]]
[6,4,1,3,2,5]   => [[[.,.],.],[[.,.],[.,.]]]
[6,4,1,3,5,2]   => [[[.,.],.],[[.,[.,.]],.]]
[6,4,1,5,2,3]   => [[[.,.],.],[[.,.],[.,.]]]
[6,4,1,5,3,2]   => [[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,3,5]   => [[[[.,.],.],.],[.,[.,.]]]
[6,4,2,1,5,3]   => [[[[.,.],.],.],[[.,.],.]]
[6,4,2,3,1,5]   => [[[[.,.],.],[.,.]],[.,.]]
[6,4,2,3,5,1]   => [[[[.,.],.],[.,[.,.]]],.]
[6,4,2,5,1,3]   => [[[[.,.],.],[.,.]],[.,.]]
[6,4,2,5,3,1]   => [[[[.,.],.],[[.,.],.]],.]
[6,4,3,1,2,5]   => [[[[.,.],.],.],[.,[.,.]]]
[6,4,3,1,5,2]   => [[[[.,.],.],.],[[.,.],.]]
[6,4,3,2,1,5]   => [[[[[.,.],.],.],.],[.,.]]
[6,4,3,2,5,1]   => [[[[[.,.],.],.],[.,.]],.]
[6,4,3,5,1,2]   => [[[[.,.],.],[.,.]],[.,.]]
[6,4,3,5,2,1]   => [[[[[.,.],.],[.,.]],.],.]
[6,4,5,1,2,3]   => [[[.,.],[.,.]],[.,[.,.]]]
[6,4,5,1,3,2]   => [[[.,.],[.,.]],[[.,.],.]]
[6,4,5,2,1,3]   => [[[[.,.],[.,.]],.],[.,.]]
[6,4,5,2,3,1]   => [[[[.,.],[.,.]],[.,.]],.]
[6,4,5,3,1,2]   => [[[[.,.],[.,.]],.],[.,.]]
[6,4,5,3,2,1]   => [[[[[.,.],[.,.]],.],.],.]
[6,5,1,2,3,4]   => [[[.,.],.],[.,[.,[.,.]]]]
[6,5,1,2,4,3]   => [[[.,.],.],[.,[[.,.],.]]]
[6,5,1,3,2,4]   => [[[.,.],.],[[.,.],[.,.]]]
[6,5,1,3,4,2]   => [[[.,.],.],[[.,[.,.]],.]]
[6,5,1,4,2,3]   => [[[.,.],.],[[.,.],[.,.]]]
[6,5,1,4,3,2]   => [[[.,.],.],[[[.,.],.],.]]
[6,5,2,1,3,4]   => [[[[.,.],.],.],[.,[.,.]]]
[6,5,2,1,4,3]   => [[[[.,.],.],.],[[.,.],.]]
[6,5,2,3,1,4]   => [[[[.,.],.],[.,.]],[.,.]]
[6,5,2,3,4,1]   => [[[[.,.],.],[.,[.,.]]],.]
[6,5,2,4,1,3]   => [[[[.,.],.],[.,.]],[.,.]]
[6,5,2,4,3,1]   => [[[[.,.],.],[[.,.],.]],.]
[6,5,3,1,2,4]   => [[[[.,.],.],.],[.,[.,.]]]
[6,5,3,1,4,2]   => [[[[.,.],.],.],[[.,.],.]]
[6,5,3,2,1,4]   => [[[[[.,.],.],.],.],[.,.]]
[6,5,3,2,4,1]   => [[[[[.,.],.],.],[.,.]],.]
[6,5,3,4,1,2]   => [[[[.,.],.],[.,.]],[.,.]]
[6,5,3,4,2,1]   => [[[[[.,.],.],[.,.]],.],.]
[6,5,4,1,2,3]   => [[[[.,.],.],.],[.,[.,.]]]
[6,5,4,1,3,2]   => [[[[.,.],.],.],[[.,.],.]]
[6,5,4,2,1,3]   => [[[[[.,.],.],.],.],[.,.]]
[6,5,4,2,3,1]   => [[[[[.,.],.],.],[.,.]],.]
[6,5,4,3,1,2]   => [[[[[.,.],.],.],.],[.,.]]
[6,5,4,3,2,1]   => [[[[[[.,.],.],.],.],.],.]
[1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]]
[1,2,3,4,6,5,7] => [.,[.,[.,[.,[[.,.],[.,.]]]]]]
[1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,[.,.]],.]]]]]
[1,2,3,4,7,5,6] => [.,[.,[.,[.,[[.,.],[.,.]]]]]]
[1,2,3,4,7,6,5] => [.,[.,[.,[.,[[[.,.],.],.]]]]]
[1,2,3,5,4,6,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]]
[1,2,3,5,4,7,6] => [.,[.,[.,[[.,.],[[.,.],.]]]]]
[1,2,3,5,6,4,7] => [.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,2,3,5,6,7,4] => [.,[.,[.,[[.,[.,[.,.]]],.]]]]
[1,2,3,5,7,4,6] => [.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,2,3,5,7,6,4] => [.,[.,[.,[[.,[[.,.],.]],.]]]]
[1,2,3,6,4,5,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]]
[1,2,3,6,4,7,5] => [.,[.,[.,[[.,.],[[.,.],.]]]]]
[1,2,3,6,5,4,7] => [.,[.,[.,[[[.,.],.],[.,.]]]]]
[1,2,3,6,5,7,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]]
[1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,2,3,6,7,5,4] => [.,[.,[.,[[[.,[.,.]],.],.]]]]
[1,2,3,7,4,5,6] => [.,[.,[.,[[.,.],[.,[.,.]]]]]]
[1,2,3,7,4,6,5] => [.,[.,[.,[[.,.],[[.,.],.]]]]]
[1,2,3,7,5,4,6] => [.,[.,[.,[[[.,.],.],[.,.]]]]]
[1,2,3,7,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]]
[1,2,3,7,6,4,5] => [.,[.,[.,[[[.,.],.],[.,.]]]]]
[1,2,3,7,6,5,4] => [.,[.,[.,[[[[.,.],.],.],.]]]]
[1,2,4,3,5,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,4,3,5,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]]
[1,2,4,3,6,5,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,2,4,3,6,7,5] => [.,[.,[[.,.],[[.,[.,.]],.]]]]
[1,2,4,3,7,5,6] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,2,4,3,7,6,5] => [.,[.,[[.,.],[[[.,.],.],.]]]]
[1,2,4,5,3,6,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,4,5,3,7,6] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,4,5,6,3,7] => [.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,4,5,6,7,3] => [.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,2,4,5,7,3,6] => [.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,4,5,7,6,3] => [.,[.,[[.,[.,[[.,.],.]]],.]]]
[1,2,4,6,3,5,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,4,6,3,7,5] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,4,6,5,3,7] => [.,[.,[[.,[[.,.],.]],[.,.]]]]
[1,2,4,6,5,7,3] => [.,[.,[[.,[[.,.],[.,.]]],.]]]
[1,2,4,6,7,3,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,4,6,7,5,3] => [.,[.,[[.,[[.,[.,.]],.]],.]]]
[1,2,4,7,3,5,6] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,4,7,3,6,5] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,4,7,5,3,6] => [.,[.,[[.,[[.,.],.]],[.,.]]]]
[1,2,4,7,5,6,3] => [.,[.,[[.,[[.,.],[.,.]]],.]]]
[1,2,4,7,6,3,5] => [.,[.,[[.,[[.,.],.]],[.,.]]]]
[1,2,4,7,6,5,3] => [.,[.,[[.,[[[.,.],.],.]],.]]]
[1,2,5,3,4,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,5,3,4,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]]
[1,2,5,3,6,4,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,2,5,3,6,7,4] => [.,[.,[[.,.],[[.,[.,.]],.]]]]
[1,2,5,3,7,4,6] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,2,5,3,7,6,4] => [.,[.,[[.,.],[[[.,.],.],.]]]]
[1,2,5,4,3,6,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,5,4,3,7,6] => [.,[.,[[[.,.],.],[[.,.],.]]]]
[1,2,5,4,6,3,7] => [.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,5,4,6,7,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,2,5,4,7,3,6] => [.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,5,4,7,6,3] => [.,[.,[[[.,.],[[.,.],.]],.]]]
[1,2,5,6,3,4,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,6,3,7,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,5,6,4,3,7] => [.,[.,[[[.,[.,.]],.],[.,.]]]]
[1,2,5,6,4,7,3] => [.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,5,6,7,3,4] => [.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,2,5,6,7,4,3] => [.,[.,[[[.,[.,[.,.]]],.],.]]]
[1,2,5,7,3,4,6] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,7,3,6,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,5,7,4,3,6] => [.,[.,[[[.,[.,.]],.],[.,.]]]]
[1,2,5,7,4,6,3] => [.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,5,7,6,3,4] => [.,[.,[[.,[[.,.],.]],[.,.]]]]
[1,2,5,7,6,4,3] => [.,[.,[[[.,[[.,.],.]],.],.]]]
[1,2,6,3,4,5,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,6,3,4,7,5] => [.,[.,[[.,.],[.,[[.,.],.]]]]]
[1,2,6,3,5,4,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,2,6,3,5,7,4] => [.,[.,[[.,.],[[.,[.,.]],.]]]]
[1,2,6,3,7,4,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,2,6,3,7,5,4] => [.,[.,[[.,.],[[[.,.],.],.]]]]
[1,2,6,4,3,5,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,6,4,3,7,5] => [.,[.,[[[.,.],.],[[.,.],.]]]]
[1,2,6,4,5,3,7] => [.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,6,4,5,7,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,2,6,4,7,3,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,6,4,7,5,3] => [.,[.,[[[.,.],[[.,.],.]],.]]]
[1,2,6,5,3,4,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,6,5,3,7,4] => [.,[.,[[[.,.],.],[[.,.],.]]]]
[1,2,6,5,4,3,7] => [.,[.,[[[[.,.],.],.],[.,.]]]]
[1,2,6,5,4,7,3] => [.,[.,[[[[.,.],.],[.,.]],.]]]
[1,2,6,5,7,3,4] => [.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,6,5,7,4,3] => [.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,6,7,3,4,5] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,6,7,3,5,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,2,6,7,4,3,5] => [.,[.,[[[.,[.,.]],.],[.,.]]]]
[1,2,6,7,4,5,3] => [.,[.,[[[.,[.,.]],[.,.]],.]]]
[1,2,6,7,5,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]]
[1,2,6,7,5,4,3] => [.,[.,[[[[.,[.,.]],.],.],.]]]
[1,2,7,3,4,5,6] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,7,3,4,6,5] => [.,[.,[[.,.],[.,[[.,.],.]]]]]
[1,2,7,3,5,4,6] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,2,7,3,5,6,4] => [.,[.,[[.,.],[[.,[.,.]],.]]]]
[1,2,7,3,6,4,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,2,7,3,6,5,4] => [.,[.,[[.,.],[[[.,.],.],.]]]]
[1,2,7,4,3,5,6] => [.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,7,4,3,6,5] => [.,[.,[[[.,.],.],[[.,.],.]]]]
[1,2,7,4,5,3,6] => [.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,7,4,5,6,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]]
[1,2,7,4,6,3,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,7,4,6,5,3] => [.,[.,[[[.,.],[[.,.],.]],.]]]
[1,2,7,5,3,4,6] => [.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,7,5,3,6,4] => [.,[.,[[[.,.],.],[[.,.],.]]]]
[1,2,7,5,4,3,6] => [.,[.,[[[[.,.],.],.],[.,.]]]]
[1,2,7,5,4,6,3] => [.,[.,[[[[.,.],.],[.,.]],.]]]
[1,2,7,5,6,3,4] => [.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,2,7,5,6,4,3] => [.,[.,[[[[.,.],[.,.]],.],.]]]
[1,2,7,6,3,4,5] => [.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,7,6,3,5,4] => [.,[.,[[[.,.],.],[[.,.],.]]]]
[1,2,7,6,4,3,5] => [.,[.,[[[[.,.],.],.],[.,.]]]]
[1,2,7,6,4,5,3] => [.,[.,[[[[.,.],.],[.,.]],.]]]
[1,2,7,6,5,3,4] => [.,[.,[[[[.,.],.],.],[.,.]]]]
[1,2,7,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],.]]]
[1,3,2,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,2,4,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,3,2,4,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,2,4,6,7,5] => [.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,3,2,4,7,5,6] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,2,4,7,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]]
[1,3,2,5,4,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,2,5,4,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]]
[1,3,2,5,6,4,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,5,6,7,4] => [.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,3,2,5,7,4,6] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,5,7,6,4] => [.,[[.,.],[[.,[[.,.],.]],.]]]
[1,3,2,6,4,5,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,2,6,4,7,5] => [.,[[.,.],[[.,.],[[.,.],.]]]]
[1,3,2,6,5,4,7] => [.,[[.,.],[[[.,.],.],[.,.]]]]
[1,3,2,6,5,7,4] => [.,[[.,.],[[[.,.],[.,.]],.]]]
[1,3,2,6,7,4,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,3,2,6,7,5,4] => [.,[[.,.],[[[.,[.,.]],.],.]]]
[1,3,2,7,4,5,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,2,7,4,6,5] => [.,[[.,.],[[.,.],[[.,.],.]]]]
[1,3,2,7,5,4,6] => [.,[[.,.],[[[.,.],.],[.,.]]]]
[1,3,2,7,5,6,4] => [.,[[.,.],[[[.,.],[.,.]],.]]]
[1,3,2,7,6,4,5] => [.,[[.,.],[[[.,.],.],[.,.]]]]
[1,3,2,7,6,5,4] => [.,[[.,.],[[[[.,.],.],.],.]]]
[1,3,4,2,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,3,4,2,5,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,3,4,2,6,5,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,3,4,2,6,7,5] => [.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,3,4,2,7,5,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,3,4,2,7,6,5] => [.,[[.,[.,.]],[[[.,.],.],.]]]
[1,3,4,5,2,6,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,3,4,5,2,7,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,3,4,5,6,2,7] => [.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,3,4,5,6,7,2] => [.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,3,4,5,7,2,6] => [.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,3,4,5,7,6,2] => [.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,3,4,6,2,5,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,3,4,6,2,7,5] => [.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,3,4,6,5,2,7] => [.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,3,4,6,5,7,2] => [.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,3,4,6,7,2,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,3,4,6,7,5,2] => [.,[[.,[.,[[.,[.,.]],.]]],.]]
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[1,4,6,3,2,5,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]]
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[1,4,6,3,5,7,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,4,6,3,7,2,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,4,6,3,7,5,2] => [.,[[[.,[.,.]],[[.,.],.]],.]]
[1,4,6,5,2,3,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,4,6,5,2,7,3] => [.,[[.,[[.,.],.]],[[.,.],.]]]
[1,4,6,5,3,2,7] => [.,[[[.,[[.,.],.]],.],[.,.]]]

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Created: Jan 26, 2020 at 12:32 by FindStatCrew

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Last Updated: Jan 26, 2020 at 12:32 by Martin Rubey