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* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2019 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. *
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-----------------------------------------------------------------------------
Statistic identifier: St000701
-----------------------------------------------------------------------------
Collection: Binary trees
-----------------------------------------------------------------------------
Description: The protection number of a binary tree.
This is the minimal distance from the root to a leaf.
-----------------------------------------------------------------------------
References: [1] Heuberger, C., Prodinger, H. Protection Number in Plane Trees [[arXiv:1702.06816]]
-----------------------------------------------------------------------------
Code:
def statistic(T):
if len(T) == 0:
return 0
else:
return 1+min(statistic(S) for S in T)
-----------------------------------------------------------------------------
Statistic values:
[.,.] => 1
[.,[.,.]] => 1
[[.,.],.] => 1
[.,[.,[.,.]]] => 1
[.,[[.,.],.]] => 1
[[.,.],[.,.]] => 2
[[.,[.,.]],.] => 1
[[[.,.],.],.] => 1
[.,[.,[.,[.,.]]]] => 1
[.,[.,[[.,.],.]]] => 1
[.,[[.,.],[.,.]]] => 1
[.,[[.,[.,.]],.]] => 1
[.,[[[.,.],.],.]] => 1
[[.,.],[.,[.,.]]] => 2
[[.,.],[[.,.],.]] => 2
[[.,[.,.]],[.,.]] => 2
[[[.,.],.],[.,.]] => 2
[[.,[.,[.,.]]],.] => 1
[[.,[[.,.],.]],.] => 1
[[[.,.],[.,.]],.] => 1
[[[.,[.,.]],.],.] => 1
[[[[.,.],.],.],.] => 1
[.,[.,[.,[.,[.,.]]]]] => 1
[.,[.,[.,[[.,.],.]]]] => 1
[.,[.,[[.,.],[.,.]]]] => 1
[.,[.,[[.,[.,.]],.]]] => 1
[.,[.,[[[.,.],.],.]]] => 1
[.,[[.,.],[.,[.,.]]]] => 1
[.,[[.,.],[[.,.],.]]] => 1
[.,[[.,[.,.]],[.,.]]] => 1
[.,[[[.,.],.],[.,.]]] => 1
[.,[[.,[.,[.,.]]],.]] => 1
[.,[[.,[[.,.],.]],.]] => 1
[.,[[[.,.],[.,.]],.]] => 1
[.,[[[.,[.,.]],.],.]] => 1
[.,[[[[.,.],.],.],.]] => 1
[[.,.],[.,[.,[.,.]]]] => 2
[[.,.],[.,[[.,.],.]]] => 2
[[.,.],[[.,.],[.,.]]] => 2
[[.,.],[[.,[.,.]],.]] => 2
[[.,.],[[[.,.],.],.]] => 2
[[.,[.,.]],[.,[.,.]]] => 2
[[.,[.,.]],[[.,.],.]] => 2
[[[.,.],.],[.,[.,.]]] => 2
[[[.,.],.],[[.,.],.]] => 2
[[.,[.,[.,.]]],[.,.]] => 2
[[.,[[.,.],.]],[.,.]] => 2
[[[.,.],[.,.]],[.,.]] => 2
[[[.,[.,.]],.],[.,.]] => 2
[[[[.,.],.],.],[.,.]] => 2
[[.,[.,[.,[.,.]]]],.] => 1
[[.,[.,[[.,.],.]]],.] => 1
[[.,[[.,.],[.,.]]],.] => 1
[[.,[[.,[.,.]],.]],.] => 1
[[.,[[[.,.],.],.]],.] => 1
[[[.,.],[.,[.,.]]],.] => 1
[[[.,.],[[.,.],.]],.] => 1
[[[.,[.,.]],[.,.]],.] => 1
[[[[.,.],.],[.,.]],.] => 1
[[[.,[.,[.,.]]],.],.] => 1
[[[.,[[.,.],.]],.],.] => 1
[[[[.,.],[.,.]],.],.] => 1
[[[[.,[.,.]],.],.],.] => 1
[[[[[.,.],.],.],.],.] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => 1
[.,[.,[.,[[.,[.,.]],.]]]] => 1
[.,[.,[.,[[[.,.],.],.]]]] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => 1
[.,[.,[[.,.],[[.,.],.]]]] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => 1
[.,[.,[[[.,.],.],[.,.]]]] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => 1
[.,[.,[[.,[[.,.],.]],.]]] => 1
[.,[.,[[[.,.],[.,.]],.]]] => 1
[.,[.,[[[.,[.,.]],.],.]]] => 1
[.,[.,[[[[.,.],.],.],.]]] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => 1
[.,[[.,.],[.,[[.,.],.]]]] => 1
[.,[[.,.],[[.,.],[.,.]]]] => 1
[.,[[.,.],[[.,[.,.]],.]]] => 1
[.,[[.,.],[[[.,.],.],.]]] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => 1
[.,[[.,[.,.]],[[.,.],.]]] => 1
[.,[[[.,.],.],[.,[.,.]]]] => 1
[.,[[[.,.],.],[[.,.],.]]] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => 1
[.,[[.,[[.,.],.]],[.,.]]] => 1
[.,[[[.,.],[.,.]],[.,.]]] => 1
[.,[[[.,[.,.]],.],[.,.]]] => 1
[.,[[[[.,.],.],.],[.,.]]] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => 1
[.,[[.,[.,[[.,.],.]]],.]] => 1
[.,[[.,[[.,.],[.,.]]],.]] => 1
[.,[[.,[[.,[.,.]],.]],.]] => 1
[.,[[.,[[[.,.],.],.]],.]] => 1
[.,[[[.,.],[.,[.,.]]],.]] => 1
[.,[[[.,.],[[.,.],.]],.]] => 1
[.,[[[.,[.,.]],[.,.]],.]] => 1
[.,[[[[.,.],.],[.,.]],.]] => 1
[.,[[[.,[.,[.,.]]],.],.]] => 1
[.,[[[.,[[.,.],.]],.],.]] => 1
[.,[[[[.,.],[.,.]],.],.]] => 1
[.,[[[[.,[.,.]],.],.],.]] => 1
[.,[[[[[.,.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => 2
[[.,.],[.,[.,[[.,.],.]]]] => 2
[[.,.],[.,[[.,.],[.,.]]]] => 2
[[.,.],[.,[[.,[.,.]],.]]] => 2
[[.,.],[.,[[[.,.],.],.]]] => 2
[[.,.],[[.,.],[.,[.,.]]]] => 2
[[.,.],[[.,.],[[.,.],.]]] => 2
[[.,.],[[.,[.,.]],[.,.]]] => 2
[[.,.],[[[.,.],.],[.,.]]] => 2
[[.,.],[[.,[.,[.,.]]],.]] => 2
[[.,.],[[.,[[.,.],.]],.]] => 2
[[.,.],[[[.,.],[.,.]],.]] => 2
[[.,.],[[[.,[.,.]],.],.]] => 2
[[.,.],[[[[.,.],.],.],.]] => 2
[[.,[.,.]],[.,[.,[.,.]]]] => 2
[[.,[.,.]],[.,[[.,.],.]]] => 2
[[.,[.,.]],[[.,.],[.,.]]] => 2
[[.,[.,.]],[[.,[.,.]],.]] => 2
[[.,[.,.]],[[[.,.],.],.]] => 2
[[[.,.],.],[.,[.,[.,.]]]] => 2
[[[.,.],.],[.,[[.,.],.]]] => 2
[[[.,.],.],[[.,.],[.,.]]] => 2
[[[.,.],.],[[.,[.,.]],.]] => 2
[[[.,.],.],[[[.,.],.],.]] => 2
[[.,[.,[.,.]]],[.,[.,.]]] => 2
[[.,[.,[.,.]]],[[.,.],.]] => 2
[[.,[[.,.],.]],[.,[.,.]]] => 2
[[.,[[.,.],.]],[[.,.],.]] => 2
[[[.,.],[.,.]],[.,[.,.]]] => 2
[[[.,.],[.,.]],[[.,.],.]] => 2
[[[.,[.,.]],.],[.,[.,.]]] => 2
[[[.,[.,.]],.],[[.,.],.]] => 2
[[[[.,.],.],.],[.,[.,.]]] => 2
[[[[.,.],.],.],[[.,.],.]] => 2
[[.,[.,[.,[.,.]]]],[.,.]] => 2
[[.,[.,[[.,.],.]]],[.,.]] => 2
[[.,[[.,.],[.,.]]],[.,.]] => 2
[[.,[[.,[.,.]],.]],[.,.]] => 2
[[.,[[[.,.],.],.]],[.,.]] => 2
[[[.,.],[.,[.,.]]],[.,.]] => 2
[[[.,.],[[.,.],.]],[.,.]] => 2
[[[.,[.,.]],[.,.]],[.,.]] => 2
[[[[.,.],.],[.,.]],[.,.]] => 2
[[[.,[.,[.,.]]],.],[.,.]] => 2
[[[.,[[.,.],.]],.],[.,.]] => 2
[[[[.,.],[.,.]],.],[.,.]] => 2
[[[[.,[.,.]],.],.],[.,.]] => 2
[[[[[.,.],.],.],.],[.,.]] => 2
[[.,[.,[.,[.,[.,.]]]]],.] => 1
[[.,[.,[.,[[.,.],.]]]],.] => 1
[[.,[.,[[.,.],[.,.]]]],.] => 1
[[.,[.,[[.,[.,.]],.]]],.] => 1
[[.,[.,[[[.,.],.],.]]],.] => 1
[[.,[[.,.],[.,[.,.]]]],.] => 1
[[.,[[.,.],[[.,.],.]]],.] => 1
[[.,[[.,[.,.]],[.,.]]],.] => 1
[[.,[[[.,.],.],[.,.]]],.] => 1
[[.,[[.,[.,[.,.]]],.]],.] => 1
[[.,[[.,[[.,.],.]],.]],.] => 1
[[.,[[[.,.],[.,.]],.]],.] => 1
[[.,[[[.,[.,.]],.],.]],.] => 1
[[.,[[[[.,.],.],.],.]],.] => 1
[[[.,.],[.,[.,[.,.]]]],.] => 1
[[[.,.],[.,[[.,.],.]]],.] => 1
[[[.,.],[[.,.],[.,.]]],.] => 1
[[[.,.],[[.,[.,.]],.]],.] => 1
[[[.,.],[[[.,.],.],.]],.] => 1
[[[.,[.,.]],[.,[.,.]]],.] => 1
[[[.,[.,.]],[[.,.],.]],.] => 1
[[[[.,.],.],[.,[.,.]]],.] => 1
[[[[.,.],.],[[.,.],.]],.] => 1
[[[.,[.,[.,.]]],[.,.]],.] => 1
[[[.,[[.,.],.]],[.,.]],.] => 1
[[[[.,.],[.,.]],[.,.]],.] => 1
[[[[.,[.,.]],.],[.,.]],.] => 1
[[[[[.,.],.],.],[.,.]],.] => 1
[[[.,[.,[.,[.,.]]]],.],.] => 1
[[[.,[.,[[.,.],.]]],.],.] => 1
[[[.,[[.,.],[.,.]]],.],.] => 1
[[[.,[[.,[.,.]],.]],.],.] => 1
[[[.,[[[.,.],.],.]],.],.] => 1
[[[[.,.],[.,[.,.]]],.],.] => 1
[[[[.,.],[[.,.],.]],.],.] => 1
[[[[.,[.,.]],[.,.]],.],.] => 1
[[[[[.,.],.],[.,.]],.],.] => 1
[[[[.,[.,[.,.]]],.],.],.] => 1
[[[[.,[[.,.],.]],.],.],.] => 1
[[[[[.,.],[.,.]],.],.],.] => 1
[[[[[.,[.,.]],.],.],.],.] => 1
[[[[[[.,.],.],.],.],.],.] => 1
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 1
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => 1
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => 1
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => 1
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => 1
[.,[.,[.,[[.,.],[[.,.],.]]]]] => 1
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => 1
[.,[.,[.,[[[.,.],.],[.,.]]]]] => 1
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => 1
[.,[.,[.,[[.,[[.,.],.]],.]]]] => 1
[.,[.,[.,[[[.,.],[.,.]],.]]]] => 1
[.,[.,[.,[[[.,[.,.]],.],.]]]] => 1
[.,[.,[.,[[[[.,.],.],.],.]]]] => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => 1
[.,[.,[[.,.],[.,[[.,.],.]]]]] => 1
[.,[.,[[.,.],[[.,.],[.,.]]]]] => 1
[.,[.,[[.,.],[[.,[.,.]],.]]]] => 1
[.,[.,[[.,.],[[[.,.],.],.]]]] => 1
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => 1
[.,[.,[[.,[.,.]],[[.,.],.]]]] => 1
[.,[.,[[[.,.],.],[.,[.,.]]]]] => 1
[.,[.,[[[.,.],.],[[.,.],.]]]] => 1
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1
[.,[.,[[.,[[.,.],.]],[.,.]]]] => 1
[.,[.,[[[.,.],[.,.]],[.,.]]]] => 1
[.,[.,[[[.,[.,.]],.],[.,.]]]] => 1
[.,[.,[[[[.,.],.],.],[.,.]]]] => 1
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => 1
[.,[.,[[.,[.,[[.,.],.]]],.]]] => 1
[.,[.,[[.,[[.,.],[.,.]]],.]]] => 1
[.,[.,[[.,[[.,[.,.]],.]],.]]] => 1
[.,[.,[[.,[[[.,.],.],.]],.]]] => 1
[.,[.,[[[.,.],[.,[.,.]]],.]]] => 1
[.,[.,[[[.,.],[[.,.],.]],.]]] => 1
[.,[.,[[[.,[.,.]],[.,.]],.]]] => 1
[.,[.,[[[[.,.],.],[.,.]],.]]] => 1
[.,[.,[[[.,[.,[.,.]]],.],.]]] => 1
[.,[.,[[[.,[[.,.],.]],.],.]]] => 1
[.,[.,[[[[.,.],[.,.]],.],.]]] => 1
[.,[.,[[[[.,[.,.]],.],.],.]]] => 1
[.,[.,[[[[[.,.],.],.],.],.]]] => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => 1
[.,[[.,.],[.,[.,[[.,.],.]]]]] => 1
[.,[[.,.],[.,[[.,.],[.,.]]]]] => 1
[.,[[.,.],[.,[[.,[.,.]],.]]]] => 1
[.,[[.,.],[.,[[[.,.],.],.]]]] => 1
[.,[[.,.],[[.,.],[.,[.,.]]]]] => 1
[.,[[.,.],[[.,.],[[.,.],.]]]] => 1
[.,[[.,.],[[.,[.,.]],[.,.]]]] => 1
[.,[[.,.],[[[.,.],.],[.,.]]]] => 1
[.,[[.,.],[[.,[.,[.,.]]],.]]] => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] => 1
[.,[[.,.],[[[.,.],[.,.]],.]]] => 1
[.,[[.,.],[[[.,[.,.]],.],.]]] => 1
[.,[[.,.],[[[[.,.],.],.],.]]] => 1
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => 1
[.,[[.,[.,.]],[.,[[.,.],.]]]] => 1
[.,[[.,[.,.]],[[.,.],[.,.]]]] => 1
[.,[[.,[.,.]],[[.,[.,.]],.]]] => 1
[.,[[.,[.,.]],[[[.,.],.],.]]] => 1
[.,[[[.,.],.],[.,[.,[.,.]]]]] => 1
[.,[[[.,.],.],[.,[[.,.],.]]]] => 1
[.,[[[.,.],.],[[.,.],[.,.]]]] => 1
[.,[[[.,.],.],[[.,[.,.]],.]]] => 1
[.,[[[.,.],.],[[[.,.],.],.]]] => 1
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => 1
[.,[[.,[.,[.,.]]],[[.,.],.]]] => 1
[.,[[.,[[.,.],.]],[.,[.,.]]]] => 1
[.,[[.,[[.,.],.]],[[.,.],.]]] => 1
[.,[[[.,.],[.,.]],[.,[.,.]]]] => 1
[.,[[[.,.],[.,.]],[[.,.],.]]] => 1
[.,[[[.,[.,.]],.],[.,[.,.]]]] => 1
[.,[[[.,[.,.]],.],[[.,.],.]]] => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => 1
[.,[[[[.,.],.],.],[[.,.],.]]] => 1
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => 1
[.,[[.,[.,[[.,.],.]]],[.,.]]] => 1
[.,[[.,[[.,.],[.,.]]],[.,.]]] => 1
[.,[[.,[[.,[.,.]],.]],[.,.]]] => 1
[.,[[.,[[[.,.],.],.]],[.,.]]] => 1
[.,[[[.,.],[.,[.,.]]],[.,.]]] => 1
[.,[[[.,.],[[.,.],.]],[.,.]]] => 1
[.,[[[.,[.,.]],[.,.]],[.,.]]] => 1
[.,[[[[.,.],.],[.,.]],[.,.]]] => 1
[.,[[[.,[.,[.,.]]],.],[.,.]]] => 1
[.,[[[.,[[.,.],.]],.],[.,.]]] => 1
[.,[[[[.,.],[.,.]],.],[.,.]]] => 1
[.,[[[[.,[.,.]],.],.],[.,.]]] => 1
[.,[[[[[.,.],.],.],.],[.,.]]] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => 1
[.,[[.,[.,[.,[[.,.],.]]]],.]] => 1
[.,[[.,[.,[[.,.],[.,.]]]],.]] => 1
[.,[[.,[.,[[.,[.,.]],.]]],.]] => 1
[.,[[.,[.,[[[.,.],.],.]]],.]] => 1
[.,[[.,[[.,.],[.,[.,.]]]],.]] => 1
[.,[[.,[[.,.],[[.,.],.]]],.]] => 1
[.,[[.,[[.,[.,.]],[.,.]]],.]] => 1
[.,[[.,[[[.,.],.],[.,.]]],.]] => 1
[.,[[.,[[.,[.,[.,.]]],.]],.]] => 1
[.,[[.,[[.,[[.,.],.]],.]],.]] => 1
[.,[[.,[[[.,.],[.,.]],.]],.]] => 1
[.,[[.,[[[.,[.,.]],.],.]],.]] => 1
[.,[[.,[[[[.,.],.],.],.]],.]] => 1
[.,[[[.,.],[.,[.,[.,.]]]],.]] => 1
[.,[[[.,.],[.,[[.,.],.]]],.]] => 1
[.,[[[.,.],[[.,.],[.,.]]],.]] => 1
[.,[[[.,.],[[.,[.,.]],.]],.]] => 1
[.,[[[.,.],[[[.,.],.],.]],.]] => 1
[.,[[[.,[.,.]],[.,[.,.]]],.]] => 1
[.,[[[.,[.,.]],[[.,.],.]],.]] => 1
[.,[[[[.,.],.],[.,[.,.]]],.]] => 1
[.,[[[[.,.],.],[[.,.],.]],.]] => 1
[.,[[[.,[.,[.,.]]],[.,.]],.]] => 1
[.,[[[.,[[.,.],.]],[.,.]],.]] => 1
[.,[[[[.,.],[.,.]],[.,.]],.]] => 1
[.,[[[[.,[.,.]],.],[.,.]],.]] => 1
[.,[[[[[.,.],.],.],[.,.]],.]] => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => 1
[.,[[[.,[.,[[.,.],.]]],.],.]] => 1
[.,[[[.,[[.,.],[.,.]]],.],.]] => 1
[.,[[[.,[[.,[.,.]],.]],.],.]] => 1
[.,[[[.,[[[.,.],.],.]],.],.]] => 1
[.,[[[[.,.],[.,[.,.]]],.],.]] => 1
[.,[[[[.,.],[[.,.],.]],.],.]] => 1
[.,[[[[.,[.,.]],[.,.]],.],.]] => 1
[.,[[[[[.,.],.],[.,.]],.],.]] => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] => 1
[.,[[[[.,[[.,.],.]],.],.],.]] => 1
[.,[[[[[.,.],[.,.]],.],.],.]] => 1
[.,[[[[[.,[.,.]],.],.],.],.]] => 1
[.,[[[[[[.,.],.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => 2
[[.,.],[.,[.,[.,[[.,.],.]]]]] => 2
[[.,.],[.,[.,[[.,.],[.,.]]]]] => 2
[[.,.],[.,[.,[[.,[.,.]],.]]]] => 2
[[.,.],[.,[.,[[[.,.],.],.]]]] => 2
[[.,.],[.,[[.,.],[.,[.,.]]]]] => 2
[[.,.],[.,[[.,.],[[.,.],.]]]] => 2
[[.,.],[.,[[.,[.,.]],[.,.]]]] => 2
[[.,.],[.,[[[.,.],.],[.,.]]]] => 2
[[.,.],[.,[[.,[.,[.,.]]],.]]] => 2
[[.,.],[.,[[.,[[.,.],.]],.]]] => 2
[[.,.],[.,[[[.,.],[.,.]],.]]] => 2
[[.,.],[.,[[[.,[.,.]],.],.]]] => 2
[[.,.],[.,[[[[.,.],.],.],.]]] => 2
[[.,.],[[.,.],[.,[.,[.,.]]]]] => 2
[[.,.],[[.,.],[.,[[.,.],.]]]] => 2
[[.,.],[[.,.],[[.,.],[.,.]]]] => 2
[[.,.],[[.,.],[[.,[.,.]],.]]] => 2
[[.,.],[[.,.],[[[.,.],.],.]]] => 2
[[.,.],[[.,[.,.]],[.,[.,.]]]] => 2
[[.,.],[[.,[.,.]],[[.,.],.]]] => 2
[[.,.],[[[.,.],.],[.,[.,.]]]] => 2
[[.,.],[[[.,.],.],[[.,.],.]]] => 2
[[.,.],[[.,[.,[.,.]]],[.,.]]] => 2
[[.,.],[[.,[[.,.],.]],[.,.]]] => 2
[[.,.],[[[.,.],[.,.]],[.,.]]] => 2
[[.,.],[[[.,[.,.]],.],[.,.]]] => 2
[[.,.],[[[[.,.],.],.],[.,.]]] => 2
[[.,.],[[.,[.,[.,[.,.]]]],.]] => 2
[[.,.],[[.,[.,[[.,.],.]]],.]] => 2
[[.,.],[[.,[[.,.],[.,.]]],.]] => 2
[[.,.],[[.,[[.,[.,.]],.]],.]] => 2
[[.,.],[[.,[[[.,.],.],.]],.]] => 2
[[.,.],[[[.,.],[.,[.,.]]],.]] => 2
[[.,.],[[[.,.],[[.,.],.]],.]] => 2
[[.,.],[[[.,[.,.]],[.,.]],.]] => 2
[[.,.],[[[[.,.],.],[.,.]],.]] => 2
[[.,.],[[[.,[.,[.,.]]],.],.]] => 2
[[.,.],[[[.,[[.,.],.]],.],.]] => 2
[[.,.],[[[[.,.],[.,.]],.],.]] => 2
[[.,.],[[[[.,[.,.]],.],.],.]] => 2
[[.,.],[[[[[.,.],.],.],.],.]] => 2
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => 2
[[.,[.,.]],[.,[.,[[.,.],.]]]] => 2
[[.,[.,.]],[.,[[.,.],[.,.]]]] => 2
[[.,[.,.]],[.,[[.,[.,.]],.]]] => 2
[[.,[.,.]],[.,[[[.,.],.],.]]] => 2
[[.,[.,.]],[[.,.],[.,[.,.]]]] => 2
[[.,[.,.]],[[.,.],[[.,.],.]]] => 2
[[.,[.,.]],[[.,[.,.]],[.,.]]] => 2
[[.,[.,.]],[[[.,.],.],[.,.]]] => 2
[[.,[.,.]],[[.,[.,[.,.]]],.]] => 2
[[.,[.,.]],[[.,[[.,.],.]],.]] => 2
[[.,[.,.]],[[[.,.],[.,.]],.]] => 2
[[.,[.,.]],[[[.,[.,.]],.],.]] => 2
[[.,[.,.]],[[[[.,.],.],.],.]] => 2
[[[.,.],.],[.,[.,[.,[.,.]]]]] => 2
[[[.,.],.],[.,[.,[[.,.],.]]]] => 2
[[[.,.],.],[.,[[.,.],[.,.]]]] => 2
[[[.,.],.],[.,[[.,[.,.]],.]]] => 2
[[[.,.],.],[.,[[[.,.],.],.]]] => 2
[[[.,.],.],[[.,.],[.,[.,.]]]] => 2
[[[.,.],.],[[.,.],[[.,.],.]]] => 2
[[[.,.],.],[[.,[.,.]],[.,.]]] => 2
[[[.,.],.],[[[.,.],.],[.,.]]] => 2
[[[.,.],.],[[.,[.,[.,.]]],.]] => 2
[[[.,.],.],[[.,[[.,.],.]],.]] => 2
[[[.,.],.],[[[.,.],[.,.]],.]] => 2
[[[.,.],.],[[[.,[.,.]],.],.]] => 2
[[[.,.],.],[[[[.,.],.],.],.]] => 2
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => 2
[[.,[.,[.,.]]],[.,[[.,.],.]]] => 2
[[.,[.,[.,.]]],[[.,.],[.,.]]] => 2
[[.,[.,[.,.]]],[[.,[.,.]],.]] => 2
[[.,[.,[.,.]]],[[[.,.],.],.]] => 2
[[.,[[.,.],.]],[.,[.,[.,.]]]] => 2
[[.,[[.,.],.]],[.,[[.,.],.]]] => 2
[[.,[[.,.],.]],[[.,.],[.,.]]] => 2
[[.,[[.,.],.]],[[.,[.,.]],.]] => 2
[[.,[[.,.],.]],[[[.,.],.],.]] => 2
[[[.,.],[.,.]],[.,[.,[.,.]]]] => 2
[[[.,.],[.,.]],[.,[[.,.],.]]] => 2
[[[.,.],[.,.]],[[.,.],[.,.]]] => 3
[[[.,.],[.,.]],[[.,[.,.]],.]] => 2
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[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 2
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => 2
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => 2
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 2
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 2
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => 2
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => 2
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => 2
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => 2
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => 2
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => 2
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => 2
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 2
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => 2
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => 2
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => 2
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => 2
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => 2
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => 2
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => 2
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => 2
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => 2
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 2
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => 2
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => 2
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => 2
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => 2
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => 2
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => 2
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => 2
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => 2
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 2
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => 2
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => 2
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => 2
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => 2
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => 2
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => 2
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => 2
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => 2
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => 2
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => 2
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => 2
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => 2
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => 2
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => 2
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => 2
[[.,.],[[[[[[.,.],.],.],.],.],.]] => 2
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 2
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 2
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 2
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 2
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 2
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 2
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 2
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 2
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 2
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => 2
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => 2
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => 2
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => 2
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 2
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 2
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => 2
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => 2
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => 2
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => 2
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => 2
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => 2
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => 2
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => 2
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => 2
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => 2
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => 2
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => 2
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => 2
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => 2
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => 2
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => 2
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => 2
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => 2
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => 2
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => 2
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => 2
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => 2
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => 2
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => 3
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => 2
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => 2
[[[[.,.],.],.],[[[[.,.],.],.],.]] => 2
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => 2
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => 2
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => 2
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => 2
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => 2
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => 2
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => 2
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => 2
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => 2
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => 2
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => 2
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => 2
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => 2
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => 3
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => 2
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => 2
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => 2
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => 2
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => 2
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => 2
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => 2
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => 2
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => 2
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => 2
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => 2
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => 2
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => 2
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => 2
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => 2
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => 2
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => 2
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => 2
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => 2
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => 2
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => 2
[[[[[[.,.],.],.],.],.],[[.,.],.]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => 2
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => 2
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => 2
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => 2
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => 2
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => 2
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => 2
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => 2
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => 2
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => 2
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => 2
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => 2
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => 2
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => 2
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => 2
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => 2
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => 2
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => 2
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => 2
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => 2
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => 2
[[[[[[[.,.],.],.],.],.],.],[.,.]] => 2
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => 1
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => 1
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => 1
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => 1
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => 1
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => 1
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => 1
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => 1
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => 1
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => 1
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => 1
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => 1
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => 1
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => 1
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => 1
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => 1
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => 1
[[[[.,.],.],[[[[.,.],.],.],.]],.] => 1
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => 1
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => 1
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => 1
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => 1
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => 1
[[[[[[.,.],.],.],.],[[.,.],.]],.] => 1
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => 1
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => 1
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => 1
[[[[[[.,.],.],.],[[.,.],.]],.],.] => 1
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => 1
[[[[[[[[.,.],.],.],.],.],.],.],.] => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => 1
[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => 3
[.,[[[[.,.],.],[.,.]],[[.,.],[.,.]]]] => 1
[[[.,[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => 3
[.,[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]] => 1
[[[.,.],[[.,.],.]],[[.,.],[.,[.,.]]]] => 3
[[[.,.],[.,.]],[[[.,.],[.,[.,.]]],.]] => 2
[.,[[[.,.],[[.,.],.]],[[.,.],[.,.]]]] => 1
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],.]]] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => 2
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => 2
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => 1
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => 2
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => 2
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => 1
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => 2
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => 1
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => 2
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => 1
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => 1
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => 2
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => 2
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => 1
[[[[.,.],[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => 3
[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => 1
[[[[[.,.],.],.],[.,.]],[[.,.],[.,[.,.]]]] => 3
[.,[[[[[.,.],.],.],[.,.]],[[.,.],[.,.]]]] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => 1
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => 2
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => 2
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => 2
[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]] => 2
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => 2
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => 2
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => 2
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => 2
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => 2
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => 2
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => 2
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => 2
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => 2
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => 2
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]] => 2
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]] => 2
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]] => 2
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]] => 2
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]] => 2
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]] => 2
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]] => 2
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]] => 2
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => 1
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.] => 1
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.] => 1
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => 1
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.] => 1
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.] => 1
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.] => 1
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.] => 1
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.] => 1
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.] => 1
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.] => 1
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.] => 1
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.] => 1
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => 1
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => 1
[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => 1
[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => 1
[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]] => 1
[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => 1
[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]] => 1
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => 1
[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => 1
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => 1
[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => 1
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => 1
[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => 1
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => 1
[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]] => 2
[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]] => 2
[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => 2
[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]] => 2
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => 2
[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.] => 1
[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.] => 1
[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]] => 2
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => 2
[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.] => 1
[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.] => 1
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => 3
[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]] => 2
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => 2
[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.] => 1
[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.] => 1
[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.] => 1
[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.] => 1
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => 1
[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]] => 2
[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]] => 2
[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]] => 2
[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => 2
[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]] => 2
[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]] => 2
[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]] => 2
[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => 2
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => 2
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => 2
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => 2
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => 2
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => 1
[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => 1
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => 1
[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => 1
[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => 1
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => 1
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => 1
[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => 1
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => 1
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => 1
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => 1
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => 1
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => 1
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => 1
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => 2
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => 2
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => 2
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => 2
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => 2
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => 2
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => 2
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => 2
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => 2
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => 2
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => 2
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => 2
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[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => 2
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => 2
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => 2
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => 2
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => 2
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => 2
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => 2
[[[[.,.],[.,.]],[[.,.],.]],[[.,.],[.,[.,.]]]] => 3
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[[.,[[.,.],.]],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => 2
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[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => 2
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[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => 2
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[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => 2
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[[.,[[.,.],.]],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],[[.,.],.]]]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,[[.,.],.]],.]]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],[[.,.],.]]] => 2
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[[.,[[.,.],[[.,.],.]]],[[.,[[.,[[.,.],.]],.]],.]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],[[.,.],.]]]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,[[.,.],.]],.]]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],[[.,.],.]]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],[[.,.],.]]],.]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,[[.,[[.,.],.]],.]],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],[[.,.],.]]] => 2
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[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]] => 2
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[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],[[.,.],.]] => 2
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[[.,.],.]] => 2
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],[[.,.],.]] => 2
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],[[.,.],.]] => 2
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],[[.,.],.]] => 2
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],[[.,.],.]] => 2
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],[[.,.],.]] => 2
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],[[.,.],.]] => 2
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],[[.,.],.]] => 2
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],[[.,.],.]] => 2
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],[[.,.],.]] => 2
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[[.,.],.]] => 2
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[[.,[.,.]],[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => 2
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[[.,[.,.]],[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => 2
[[.,[.,.]],[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]] => 2
[[.,[.,.]],[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]] => 2
[[.,[.,.]],[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]] => 2
[[.,[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => 2
[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => 2
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]] => 2
[[.,[.,.]],[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => 2
[[.,[.,.]],[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => 2
[[.,[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => 2
[[.,[.,.]],[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => 2
[[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => 2
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[[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]],[.,.]] => 2
[[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]],[.,.]] => 2
[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => 3
[[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]],[.,.]] => 2
[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]] => 2
[[.,[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.]],.] => 1
[[.,[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.]],.] => 1
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[[[.,[.,.]],[[.,.],[.,.]]],[[.,[[.,.],[.,.]]],.]] => 2
[[[.,[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]] => 3
[[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.],[.,.]] => 2
[[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.],[.,.]] => 2
[[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]],[.,.]] => 2
[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]] => 2
[[.,[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.]],.] => 1
[[.,[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.]],.] => 1
[[.,[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]],.] => 1
[[.,[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]]],.] => 1
[[.,[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]],.] => 1
[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[[.,.],[.,.]]] => 3
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => 3
[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[[.,.],[.,.]]] => 2
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => 3
[[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.],[.,.]] => 2
[[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.],[.,.]] => 2
[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => 2
[[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]],[.,.]] => 2
[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => 2
[[.,[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.]],.] => 1
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.]],.] => 1
[[.,[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.]],.] => 1
[[.,[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.]],.] => 1
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[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => 1
[[[.,.],[.,.]],[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]] => 2
[[[.,.],[.,.]],[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]] => 2
[[[.,[.,.]],[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.] => 1
[[[.,.],[.,.]],[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]] => 2
[[[.,.],[.,.]],[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]] => 2
[[[.,[[.,.],[.,.]]],.],[.,[[.,[[.,.],[.,.]]],.]]] => 2
[[[.,[[.,.],[.,.]]],.],[.,[[[.,.],[.,.]],[.,.]]]] => 2
[[[[.,.],[.,.]],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]] => 2
[[[[.,.],[.,.]],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]] => 2
[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,[[.,.],[.,.]]]] => 2
[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,[[.,.],[.,.]]]] => 2
[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[[.,.],[.,.]]] => 3
[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,[[.,.],[.,.]]]] => 2
[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => 2
[[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.],[.,.]] => 2
[[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.],[.,.]] => 2
[[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.],[.,.]] => 2
[[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.],[.,.]] => 2
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.],[.,.]] => 2
[[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]],[.,.]] => 2
[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]],[.,.]] => 2
[[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]],[.,.]] => 2
[[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]],[.,.]] => 2
[[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]],[.,.]] => 2
[[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]],[.,.]] => 2
[[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],[.,.]] => 2
[[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]],[.,.]] => 2
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => 2
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => 1
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => 1
[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => 1
[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => 1
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => 1
[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => 1
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => 1
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => 1
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => 1
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => 1
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => 1
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => 1
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => 1
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => 1
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => 1
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => 1
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => 1
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => 1
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => 1
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => 1
[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => 1
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => 1
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => 1
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => 1
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => 1
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => 1
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => 1
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => 1
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => 1
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => 1
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => 1
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => 1
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => 1
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => 1
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => 1
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => 1
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => 1
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => 1
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => 1
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => 1
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => 1
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => 1
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => 2
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => 2
[[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => 2
[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => 2
[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => 2
[[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => 2
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => 2
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => 2
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => 2
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => 2
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => 2
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => 2
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => 2
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => 2
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => 2
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => 2
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => 2
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => 2
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => 2
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => 2
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => 2
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => 2
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => 2
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => 2
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => 2
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => 2
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => 2
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => 2
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => 2
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => 2
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => 2
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => 2
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => 2
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => 2
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => 2
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => 2
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => 2
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => 2
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => 2
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => 2
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => 2
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => 2
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => 2
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => 2
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => 2
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => 2
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => 2
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => 2
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => 2
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => 2
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => 2
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => 2
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => 2
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => 2
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => 2
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => 2
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => 2
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => 2
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => 2
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => 2
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => 2
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => 2
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => 2
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => 2
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => 2
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => 2
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => 2
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => 2
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => 2
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => 2
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => 2
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => 2
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => 2
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => 2
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => 2
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => 2
[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => 2
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => 2
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Created: Feb 23, 2017 at 20:19 by Martin Rubey
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Last Updated: Jul 23, 2019 at 08:47 by Martin Rubey