************************************************************************
*    www.FindStat.org - The Combinatorial Statistic Finder             *
*                                                                      *
*    Copyright (C) 2013 The FindStatCrew <info@findstat.org>           *
*                                                                      *
*    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: Mp00072

------------------------------------------------------------------------
Map name: binary search tree: left to right

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

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

------------------------------------------------------------------------
Description: Return the shape of the binary search tree of the permutation as a non labelled binary tree.

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

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

def mapping(elt):
    return elt.binary_search_tree(left_to_right=True).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] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,4,7,2,5,6] => [.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,3,4,7,2,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]]
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[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