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* 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: St000409
-----------------------------------------------------------------------------
Collection: Binary trees
-----------------------------------------------------------------------------
Description: The number of pitchforks in a binary tree.
A pitchfork is a subtree of a complete binary tree with exactly three leaves, see Section 3.2 of [1].
-----------------------------------------------------------------------------
References: [1] Disanto, F., Wiehe, T. Exact enumeration of cherries and pitchforks in ranked trees under the coalescent model [[MathSciNet:3068684]]
-----------------------------------------------------------------------------
Code:
def statistic(B):
if B == BinaryTree() or B == BinaryTree([]):
return 0
if B == BinaryTree([[],None]) or B == BinaryTree([None, []]):
return 1
return sum(statistic(S) for S in B)
-----------------------------------------------------------------------------
Statistic values:
[.,.] => 0
[.,[.,.]] => 1
[[.,.],.] => 1
[.,[.,[.,.]]] => 1
[.,[[.,.],.]] => 1
[[.,.],[.,.]] => 0
[[.,[.,.]],.] => 1
[[[.,.],.],.] => 1
[.,[.,[.,[.,.]]]] => 1
[.,[.,[[.,.],.]]] => 1
[.,[[.,.],[.,.]]] => 0
[.,[[.,[.,.]],.]] => 1
[.,[[[.,.],.],.]] => 1
[[.,.],[.,[.,.]]] => 1
[[.,.],[[.,.],.]] => 1
[[.,[.,.]],[.,.]] => 1
[[[.,.],.],[.,.]] => 1
[[.,[.,[.,.]]],.] => 1
[[.,[[.,.],.]],.] => 1
[[[.,.],[.,.]],.] => 0
[[[.,[.,.]],.],.] => 1
[[[[.,.],.],.],.] => 1
[.,[.,[.,[.,[.,.]]]]] => 1
[.,[.,[.,[[.,.],.]]]] => 1
[.,[.,[[.,.],[.,.]]]] => 0
[.,[.,[[.,[.,.]],.]]] => 1
[.,[.,[[[.,.],.],.]]] => 1
[.,[[.,.],[.,[.,.]]]] => 1
[.,[[.,.],[[.,.],.]]] => 1
[.,[[.,[.,.]],[.,.]]] => 1
[.,[[[.,.],.],[.,.]]] => 1
[.,[[.,[.,[.,.]]],.]] => 1
[.,[[.,[[.,.],.]],.]] => 1
[.,[[[.,.],[.,.]],.]] => 0
[.,[[[.,[.,.]],.],.]] => 1
[.,[[[[.,.],.],.],.]] => 1
[[.,.],[.,[.,[.,.]]]] => 1
[[.,.],[.,[[.,.],.]]] => 1
[[.,.],[[.,.],[.,.]]] => 0
[[.,.],[[.,[.,.]],.]] => 1
[[.,.],[[[.,.],.],.]] => 1
[[.,[.,.]],[.,[.,.]]] => 2
[[.,[.,.]],[[.,.],.]] => 2
[[[.,.],.],[.,[.,.]]] => 2
[[[.,.],.],[[.,.],.]] => 2
[[.,[.,[.,.]]],[.,.]] => 1
[[.,[[.,.],.]],[.,.]] => 1
[[[.,.],[.,.]],[.,.]] => 0
[[[.,[.,.]],.],[.,.]] => 1
[[[[.,.],.],.],[.,.]] => 1
[[.,[.,[.,[.,.]]]],.] => 1
[[.,[.,[[.,.],.]]],.] => 1
[[.,[[.,.],[.,.]]],.] => 0
[[.,[[.,[.,.]],.]],.] => 1
[[.,[[[.,.],.],.]],.] => 1
[[[.,.],[.,[.,.]]],.] => 1
[[[.,.],[[.,.],.]],.] => 1
[[[.,[.,.]],[.,.]],.] => 1
[[[[.,.],.],[.,.]],.] => 1
[[[.,[.,[.,.]]],.],.] => 1
[[[.,[[.,.],.]],.],.] => 1
[[[[.,.],[.,.]],.],.] => 0
[[[[.,[.,.]],.],.],.] => 1
[[[[[.,.],.],.],.],.] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => 0
[.,[.,[.,[[.,[.,.]],.]]]] => 1
[.,[.,[.,[[[.,.],.],.]]]] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => 1
[.,[.,[[.,.],[[.,.],.]]]] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => 1
[.,[.,[[[.,.],.],[.,.]]]] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => 1
[.,[.,[[.,[[.,.],.]],.]]] => 1
[.,[.,[[[.,.],[.,.]],.]]] => 0
[.,[.,[[[.,[.,.]],.],.]]] => 1
[.,[.,[[[[.,.],.],.],.]]] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => 1
[.,[[.,.],[.,[[.,.],.]]]] => 1
[.,[[.,.],[[.,.],[.,.]]]] => 0
[.,[[.,.],[[.,[.,.]],.]]] => 1
[.,[[.,.],[[[.,.],.],.]]] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => 2
[.,[[.,[.,.]],[[.,.],.]]] => 2
[.,[[[.,.],.],[.,[.,.]]]] => 2
[.,[[[.,.],.],[[.,.],.]]] => 2
[.,[[.,[.,[.,.]]],[.,.]]] => 1
[.,[[.,[[.,.],.]],[.,.]]] => 1
[.,[[[.,.],[.,.]],[.,.]]] => 0
[.,[[[.,[.,.]],.],[.,.]]] => 1
[.,[[[[.,.],.],.],[.,.]]] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => 1
[.,[[.,[.,[[.,.],.]]],.]] => 1
[.,[[.,[[.,.],[.,.]]],.]] => 0
[.,[[.,[[.,[.,.]],.]],.]] => 1
[.,[[.,[[[.,.],.],.]],.]] => 1
[.,[[[.,.],[.,[.,.]]],.]] => 1
[.,[[[.,.],[[.,.],.]],.]] => 1
[.,[[[.,[.,.]],[.,.]],.]] => 1
[.,[[[[.,.],.],[.,.]],.]] => 1
[.,[[[.,[.,[.,.]]],.],.]] => 1
[.,[[[.,[[.,.],.]],.],.]] => 1
[.,[[[[.,.],[.,.]],.],.]] => 0
[.,[[[[.,[.,.]],.],.],.]] => 1
[.,[[[[[.,.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => 1
[[.,.],[.,[.,[[.,.],.]]]] => 1
[[.,.],[.,[[.,.],[.,.]]]] => 0
[[.,.],[.,[[.,[.,.]],.]]] => 1
[[.,.],[.,[[[.,.],.],.]]] => 1
[[.,.],[[.,.],[.,[.,.]]]] => 1
[[.,.],[[.,.],[[.,.],.]]] => 1
[[.,.],[[.,[.,.]],[.,.]]] => 1
[[.,.],[[[.,.],.],[.,.]]] => 1
[[.,.],[[.,[.,[.,.]]],.]] => 1
[[.,.],[[.,[[.,.],.]],.]] => 1
[[.,.],[[[.,.],[.,.]],.]] => 0
[[.,.],[[[.,[.,.]],.],.]] => 1
[[.,.],[[[[.,.],.],.],.]] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => 2
[[.,[.,.]],[.,[[.,.],.]]] => 2
[[.,[.,.]],[[.,.],[.,.]]] => 1
[[.,[.,.]],[[.,[.,.]],.]] => 2
[[.,[.,.]],[[[.,.],.],.]] => 2
[[[.,.],.],[.,[.,[.,.]]]] => 2
[[[.,.],.],[.,[[.,.],.]]] => 2
[[[.,.],.],[[.,.],[.,.]]] => 1
[[[.,.],.],[[.,[.,.]],.]] => 2
[[[.,.],.],[[[.,.],.],.]] => 2
[[.,[.,[.,.]]],[.,[.,.]]] => 2
[[.,[.,[.,.]]],[[.,.],.]] => 2
[[.,[[.,.],.]],[.,[.,.]]] => 2
[[.,[[.,.],.]],[[.,.],.]] => 2
[[[.,.],[.,.]],[.,[.,.]]] => 1
[[[.,.],[.,.]],[[.,.],.]] => 1
[[[.,[.,.]],.],[.,[.,.]]] => 2
[[[.,[.,.]],.],[[.,.],.]] => 2
[[[[.,.],.],.],[.,[.,.]]] => 2
[[[[.,.],.],.],[[.,.],.]] => 2
[[.,[.,[.,[.,.]]]],[.,.]] => 1
[[.,[.,[[.,.],.]]],[.,.]] => 1
[[.,[[.,.],[.,.]]],[.,.]] => 0
[[.,[[.,[.,.]],.]],[.,.]] => 1
[[.,[[[.,.],.],.]],[.,.]] => 1
[[[.,.],[.,[.,.]]],[.,.]] => 1
[[[.,.],[[.,.],.]],[.,.]] => 1
[[[.,[.,.]],[.,.]],[.,.]] => 1
[[[[.,.],.],[.,.]],[.,.]] => 1
[[[.,[.,[.,.]]],.],[.,.]] => 1
[[[.,[[.,.],.]],.],[.,.]] => 1
[[[[.,.],[.,.]],.],[.,.]] => 0
[[[[.,[.,.]],.],.],[.,.]] => 1
[[[[[.,.],.],.],.],[.,.]] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => 1
[[.,[.,[.,[[.,.],.]]]],.] => 1
[[.,[.,[[.,.],[.,.]]]],.] => 0
[[.,[.,[[.,[.,.]],.]]],.] => 1
[[.,[.,[[[.,.],.],.]]],.] => 1
[[.,[[.,.],[.,[.,.]]]],.] => 1
[[.,[[.,.],[[.,.],.]]],.] => 1
[[.,[[.,[.,.]],[.,.]]],.] => 1
[[.,[[[.,.],.],[.,.]]],.] => 1
[[.,[[.,[.,[.,.]]],.]],.] => 1
[[.,[[.,[[.,.],.]],.]],.] => 1
[[.,[[[.,.],[.,.]],.]],.] => 0
[[.,[[[.,[.,.]],.],.]],.] => 1
[[.,[[[[.,.],.],.],.]],.] => 1
[[[.,.],[.,[.,[.,.]]]],.] => 1
[[[.,.],[.,[[.,.],.]]],.] => 1
[[[.,.],[[.,.],[.,.]]],.] => 0
[[[.,.],[[.,[.,.]],.]],.] => 1
[[[.,.],[[[.,.],.],.]],.] => 1
[[[.,[.,.]],[.,[.,.]]],.] => 2
[[[.,[.,.]],[[.,.],.]],.] => 2
[[[[.,.],.],[.,[.,.]]],.] => 2
[[[[.,.],.],[[.,.],.]],.] => 2
[[[.,[.,[.,.]]],[.,.]],.] => 1
[[[.,[[.,.],.]],[.,.]],.] => 1
[[[[.,.],[.,.]],[.,.]],.] => 0
[[[[.,[.,.]],.],[.,.]],.] => 1
[[[[[.,.],.],.],[.,.]],.] => 1
[[[.,[.,[.,[.,.]]]],.],.] => 1
[[[.,[.,[[.,.],.]]],.],.] => 1
[[[.,[[.,.],[.,.]]],.],.] => 0
[[[.,[[.,[.,.]],.]],.],.] => 1
[[[.,[[[.,.],.],.]],.],.] => 1
[[[[.,.],[.,[.,.]]],.],.] => 1
[[[[.,.],[[.,.],.]],.],.] => 1
[[[[.,[.,.]],[.,.]],.],.] => 1
[[[[[.,.],.],[.,.]],.],.] => 1
[[[[.,[.,[.,.]]],.],.],.] => 1
[[[[.,[[.,.],.]],.],.],.] => 1
[[[[[.,.],[.,.]],.],.],.] => 0
[[[[[.,[.,.]],.],.],.],.] => 1
[[[[[[.,.],.],.],.],.],.] => 1
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 1
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => 1
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => 0
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => 1
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => 1
[.,[.,[.,[[.,.],[[.,.],.]]]]] => 1
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => 1
[.,[.,[.,[[[.,.],.],[.,.]]]]] => 1
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => 1
[.,[.,[.,[[.,[[.,.],.]],.]]]] => 1
[.,[.,[.,[[[.,.],[.,.]],.]]]] => 0
[.,[.,[.,[[[.,[.,.]],.],.]]]] => 1
[.,[.,[.,[[[[.,.],.],.],.]]]] => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => 1
[.,[.,[[.,.],[.,[[.,.],.]]]]] => 1
[.,[.,[[.,.],[[.,.],[.,.]]]]] => 0
[.,[.,[[.,.],[[.,[.,.]],.]]]] => 1
[.,[.,[[.,.],[[[.,.],.],.]]]] => 1
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => 2
[.,[.,[[.,[.,.]],[[.,.],.]]]] => 2
[.,[.,[[[.,.],.],[.,[.,.]]]]] => 2
[.,[.,[[[.,.],.],[[.,.],.]]]] => 2
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1
[.,[.,[[.,[[.,.],.]],[.,.]]]] => 1
[.,[.,[[[.,.],[.,.]],[.,.]]]] => 0
[.,[.,[[[.,[.,.]],.],[.,.]]]] => 1
[.,[.,[[[[.,.],.],.],[.,.]]]] => 1
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => 1
[.,[.,[[.,[.,[[.,.],.]]],.]]] => 1
[.,[.,[[.,[[.,.],[.,.]]],.]]] => 0
[.,[.,[[.,[[.,[.,.]],.]],.]]] => 1
[.,[.,[[.,[[[.,.],.],.]],.]]] => 1
[.,[.,[[[.,.],[.,[.,.]]],.]]] => 1
[.,[.,[[[.,.],[[.,.],.]],.]]] => 1
[.,[.,[[[.,[.,.]],[.,.]],.]]] => 1
[.,[.,[[[[.,.],.],[.,.]],.]]] => 1
[.,[.,[[[.,[.,[.,.]]],.],.]]] => 1
[.,[.,[[[.,[[.,.],.]],.],.]]] => 1
[.,[.,[[[[.,.],[.,.]],.],.]]] => 0
[.,[.,[[[[.,[.,.]],.],.],.]]] => 1
[.,[.,[[[[[.,.],.],.],.],.]]] => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => 1
[.,[[.,.],[.,[.,[[.,.],.]]]]] => 1
[.,[[.,.],[.,[[.,.],[.,.]]]]] => 0
[.,[[.,.],[.,[[.,[.,.]],.]]]] => 1
[.,[[.,.],[.,[[[.,.],.],.]]]] => 1
[.,[[.,.],[[.,.],[.,[.,.]]]]] => 1
[.,[[.,.],[[.,.],[[.,.],.]]]] => 1
[.,[[.,.],[[.,[.,.]],[.,.]]]] => 1
[.,[[.,.],[[[.,.],.],[.,.]]]] => 1
[.,[[.,.],[[.,[.,[.,.]]],.]]] => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] => 1
[.,[[.,.],[[[.,.],[.,.]],.]]] => 0
[.,[[.,.],[[[.,[.,.]],.],.]]] => 1
[.,[[.,.],[[[[.,.],.],.],.]]] => 1
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => 2
[.,[[.,[.,.]],[.,[[.,.],.]]]] => 2
[.,[[.,[.,.]],[[.,.],[.,.]]]] => 1
[.,[[.,[.,.]],[[.,[.,.]],.]]] => 2
[.,[[.,[.,.]],[[[.,.],.],.]]] => 2
[.,[[[.,.],.],[.,[.,[.,.]]]]] => 2
[.,[[[.,.],.],[.,[[.,.],.]]]] => 2
[.,[[[.,.],.],[[.,.],[.,.]]]] => 1
[.,[[[.,.],.],[[.,[.,.]],.]]] => 2
[.,[[[.,.],.],[[[.,.],.],.]]] => 2
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => 2
[.,[[.,[.,[.,.]]],[[.,.],.]]] => 2
[.,[[.,[[.,.],.]],[.,[.,.]]]] => 2
[.,[[.,[[.,.],.]],[[.,.],.]]] => 2
[.,[[[.,.],[.,.]],[.,[.,.]]]] => 1
[.,[[[.,.],[.,.]],[[.,.],.]]] => 1
[.,[[[.,[.,.]],.],[.,[.,.]]]] => 2
[.,[[[.,[.,.]],.],[[.,.],.]]] => 2
[.,[[[[.,.],.],.],[.,[.,.]]]] => 2
[.,[[[[.,.],.],.],[[.,.],.]]] => 2
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => 1
[.,[[.,[.,[[.,.],.]]],[.,.]]] => 1
[.,[[.,[[.,.],[.,.]]],[.,.]]] => 0
[.,[[.,[[.,[.,.]],.]],[.,.]]] => 1
[.,[[.,[[[.,.],.],.]],[.,.]]] => 1
[.,[[[.,.],[.,[.,.]]],[.,.]]] => 1
[.,[[[.,.],[[.,.],.]],[.,.]]] => 1
[.,[[[.,[.,.]],[.,.]],[.,.]]] => 1
[.,[[[[.,.],.],[.,.]],[.,.]]] => 1
[.,[[[.,[.,[.,.]]],.],[.,.]]] => 1
[.,[[[.,[[.,.],.]],.],[.,.]]] => 1
[.,[[[[.,.],[.,.]],.],[.,.]]] => 0
[.,[[[[.,[.,.]],.],.],[.,.]]] => 1
[.,[[[[[.,.],.],.],.],[.,.]]] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => 1
[.,[[.,[.,[.,[[.,.],.]]]],.]] => 1
[.,[[.,[.,[[.,.],[.,.]]]],.]] => 0
[.,[[.,[.,[[.,[.,.]],.]]],.]] => 1
[.,[[.,[.,[[[.,.],.],.]]],.]] => 1
[.,[[.,[[.,.],[.,[.,.]]]],.]] => 1
[.,[[.,[[.,.],[[.,.],.]]],.]] => 1
[.,[[.,[[.,[.,.]],[.,.]]],.]] => 1
[.,[[.,[[[.,.],.],[.,.]]],.]] => 1
[.,[[.,[[.,[.,[.,.]]],.]],.]] => 1
[.,[[.,[[.,[[.,.],.]],.]],.]] => 1
[.,[[.,[[[.,.],[.,.]],.]],.]] => 0
[.,[[.,[[[.,[.,.]],.],.]],.]] => 1
[.,[[.,[[[[.,.],.],.],.]],.]] => 1
[.,[[[.,.],[.,[.,[.,.]]]],.]] => 1
[.,[[[.,.],[.,[[.,.],.]]],.]] => 1
[.,[[[.,.],[[.,.],[.,.]]],.]] => 0
[.,[[[.,.],[[.,[.,.]],.]],.]] => 1
[.,[[[.,.],[[[.,.],.],.]],.]] => 1
[.,[[[.,[.,.]],[.,[.,.]]],.]] => 2
[.,[[[.,[.,.]],[[.,.],.]],.]] => 2
[.,[[[[.,.],.],[.,[.,.]]],.]] => 2
[.,[[[[.,.],.],[[.,.],.]],.]] => 2
[.,[[[.,[.,[.,.]]],[.,.]],.]] => 1
[.,[[[.,[[.,.],.]],[.,.]],.]] => 1
[.,[[[[.,.],[.,.]],[.,.]],.]] => 0
[.,[[[[.,[.,.]],.],[.,.]],.]] => 1
[.,[[[[[.,.],.],.],[.,.]],.]] => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => 1
[.,[[[.,[.,[[.,.],.]]],.],.]] => 1
[.,[[[.,[[.,.],[.,.]]],.],.]] => 0
[.,[[[.,[[.,[.,.]],.]],.],.]] => 1
[.,[[[.,[[[.,.],.],.]],.],.]] => 1
[.,[[[[.,.],[.,[.,.]]],.],.]] => 1
[.,[[[[.,.],[[.,.],.]],.],.]] => 1
[.,[[[[.,[.,.]],[.,.]],.],.]] => 1
[.,[[[[[.,.],.],[.,.]],.],.]] => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] => 1
[.,[[[[.,[[.,.],.]],.],.],.]] => 1
[.,[[[[[.,.],[.,.]],.],.],.]] => 0
[.,[[[[[.,[.,.]],.],.],.],.]] => 1
[.,[[[[[[.,.],.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => 1
[[.,.],[.,[.,[.,[[.,.],.]]]]] => 1
[[.,.],[.,[.,[[.,.],[.,.]]]]] => 0
[[.,.],[.,[.,[[.,[.,.]],.]]]] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => 1
[[.,.],[.,[[.,.],[[.,.],.]]]] => 1
[[.,.],[.,[[.,[.,.]],[.,.]]]] => 1
[[.,.],[.,[[[.,.],.],[.,.]]]] => 1
[[.,.],[.,[[.,[.,[.,.]]],.]]] => 1
[[.,.],[.,[[.,[[.,.],.]],.]]] => 1
[[.,.],[.,[[[.,.],[.,.]],.]]] => 0
[[.,.],[.,[[[.,[.,.]],.],.]]] => 1
[[.,.],[.,[[[[.,.],.],.],.]]] => 1
[[.,.],[[.,.],[.,[.,[.,.]]]]] => 1
[[.,.],[[.,.],[.,[[.,.],.]]]] => 1
[[.,.],[[.,.],[[.,.],[.,.]]]] => 0
[[.,.],[[.,.],[[.,[.,.]],.]]] => 1
[[.,.],[[.,.],[[[.,.],.],.]]] => 1
[[.,.],[[.,[.,.]],[.,[.,.]]]] => 2
[[.,.],[[.,[.,.]],[[.,.],.]]] => 2
[[.,.],[[[.,.],.],[.,[.,.]]]] => 2
[[.,.],[[[.,.],.],[[.,.],.]]] => 2
[[.,.],[[.,[.,[.,.]]],[.,.]]] => 1
[[.,.],[[.,[[.,.],.]],[.,.]]] => 1
[[.,.],[[[.,.],[.,.]],[.,.]]] => 0
[[.,.],[[[.,[.,.]],.],[.,.]]] => 1
[[.,.],[[[[.,.],.],.],[.,.]]] => 1
[[.,.],[[.,[.,[.,[.,.]]]],.]] => 1
[[.,.],[[.,[.,[[.,.],.]]],.]] => 1
[[.,.],[[.,[[.,.],[.,.]]],.]] => 0
[[.,.],[[.,[[.,[.,.]],.]],.]] => 1
[[.,.],[[.,[[[.,.],.],.]],.]] => 1
[[.,.],[[[.,.],[.,[.,.]]],.]] => 1
[[.,.],[[[.,.],[[.,.],.]],.]] => 1
[[.,.],[[[.,[.,.]],[.,.]],.]] => 1
[[.,.],[[[[.,.],.],[.,.]],.]] => 1
[[.,.],[[[.,[.,[.,.]]],.],.]] => 1
[[.,.],[[[.,[[.,.],.]],.],.]] => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => 0
[[.,.],[[[[.,[.,.]],.],.],.]] => 1
[[.,.],[[[[[.,.],.],.],.],.]] => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => 2
[[.,[.,.]],[.,[.,[[.,.],.]]]] => 2
[[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[[.,[.,.]],[.,[[.,[.,.]],.]]] => 2
[[.,[.,.]],[.,[[[.,.],.],.]]] => 2
[[.,[.,.]],[[.,.],[.,[.,.]]]] => 2
[[.,[.,.]],[[.,.],[[.,.],.]]] => 2
[[.,[.,.]],[[.,[.,.]],[.,.]]] => 2
[[.,[.,.]],[[[.,.],.],[.,.]]] => 2
[[.,[.,.]],[[.,[.,[.,.]]],.]] => 2
[[.,[.,.]],[[.,[[.,.],.]],.]] => 2
[[.,[.,.]],[[[.,.],[.,.]],.]] => 1
[[.,[.,.]],[[[.,[.,.]],.],.]] => 2
[[.,[.,.]],[[[[.,.],.],.],.]] => 2
[[[.,.],.],[.,[.,[.,[.,.]]]]] => 2
[[[.,.],.],[.,[.,[[.,.],.]]]] => 2
[[[.,.],.],[.,[[.,.],[.,.]]]] => 1
[[[.,.],.],[.,[[.,[.,.]],.]]] => 2
[[[.,.],.],[.,[[[.,.],.],.]]] => 2
[[[.,.],.],[[.,.],[.,[.,.]]]] => 2
[[[.,.],.],[[.,.],[[.,.],.]]] => 2
[[[.,.],.],[[.,[.,.]],[.,.]]] => 2
[[[.,.],.],[[[.,.],.],[.,.]]] => 2
[[[.,.],.],[[.,[.,[.,.]]],.]] => 2
[[[.,.],.],[[.,[[.,.],.]],.]] => 2
[[[.,.],.],[[[.,.],[.,.]],.]] => 1
[[[.,.],.],[[[.,[.,.]],.],.]] => 2
[[[.,.],.],[[[[.,.],.],.],.]] => 2
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => 2
[[.,[.,[.,.]]],[.,[[.,.],.]]] => 2
[[.,[.,[.,.]]],[[.,.],[.,.]]] => 1
[[.,[.,[.,.]]],[[.,[.,.]],.]] => 2
[[.,[.,[.,.]]],[[[.,.],.],.]] => 2
[[.,[[.,.],.]],[.,[.,[.,.]]]] => 2
[[.,[[.,.],.]],[.,[[.,.],.]]] => 2
[[.,[[.,.],.]],[[.,.],[.,.]]] => 1
[[.,[[.,.],.]],[[.,[.,.]],.]] => 2
[[.,[[.,.],.]],[[[.,.],.],.]] => 2
[[[.,.],[.,.]],[.,[.,[.,.]]]] => 1
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[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 1
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 1
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 1
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 1
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => 1
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => 1
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 0
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 1
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => 1
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => 1
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => 1
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => 0
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => 1
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => 1
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => 1
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 1
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => 1
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => 1
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => 1
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => 1
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => 0
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => 1
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => 1
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => 1
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => 1
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 0
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => 1
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => 1
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => 2
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => 2
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => 2
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => 2
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => 1
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => 1
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 0
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => 1
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => 1
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => 1
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => 1
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => 0
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => 1
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => 1
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => 1
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => 1
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => 1
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => 1
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => 1
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => 1
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => 0
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => 1
[[.,.],[[[[[[.,.],.],.],.],.],.]] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 2
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 2
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 1
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 2
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 2
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 2
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 2
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 2
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 2
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => 2
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => 2
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => 1
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => 2
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 2
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 2
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => 2
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => 1
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => 2
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => 3
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => 3
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => 1
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => 2
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => 2
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => 1
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => 2
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => 2
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => 2
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => 2
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => 1
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => 2
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => 2
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => 2
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => 2
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => 2
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => 2
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => 1
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => 2
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => 0
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => 1
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => 2
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => 2
[[[[.,.],.],.],[[[[.,.],.],.],.]] => 2
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => 2
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => 2
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => 0
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => 1
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => 1
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => 2
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => 2
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => 2
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => 2
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => 2
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => 2
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => 2
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => 2
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => 1
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => 2
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => 1
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => 0
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => 1
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => 2
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => 1
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => 2
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => 3
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => 3
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => 3
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => 1
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => 1
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => 2
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => 2
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => 2
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => 2
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => 2
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => 2
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => 2
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => 2
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => 2
[[[[[[.,.],.],.],.],.],[[.,.],.]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => 1
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => 1
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => 1
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => 2
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => 1
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => 2
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => 2
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => 1
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => 1
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => 2
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => 1
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => 1
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => 1
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => 1
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => 1
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => 1
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => 1
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => 1
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => 1
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => 1
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => 1
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => 0
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => 1
[[[[[[[.,.],.],.],.],.],.],[.,.]] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => 1
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => 1
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => 0
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => 1
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => 1
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => 1
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => 1
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => 1
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => 1
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => 1
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => 2
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => 1
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[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => 1
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => 1
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => 2
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => 2
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[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => 1
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => 0
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => 1
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => 2
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[[[[[[.,.],.],.],.],[[.,.],.]],.] => 2
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => 1
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[[[[[[.,.],[.,.]],.],.],[.,.]],.] => 0
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[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => 2
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[[[.,[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => 2
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[[[.,.],[[.,.],.]],[[.,.],[.,[.,.]]]] => 2
[[[.,.],[.,.]],[[[.,.],[.,[.,.]]],.]] => 1
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[.,[[[.,.],[.,.]],[[[.,.],[.,.]],.]]] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => 1
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[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => 0
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[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => 0
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[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => 1
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => 1
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => 1
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => 1
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => 0
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => 1
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => 0
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[[[[.,.],[.,.]],[.,.]],[[.,.],[.,[.,.]]]] => 1
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[[[[[.,.],.],.],[.,.]],[[.,.],[.,[.,.]]]] => 2
[.,[[[[[.,.],.],.],[.,.]],[[.,.],[.,.]]]] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => 1
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => 1
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => 1
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => 2
[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]] => 1
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => 1
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => 2
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => 2
[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => 2
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => 2
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => 1
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => 1
[[.,.],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => 2
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => 1
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => 1
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]] => 2
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]] => 2
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]] => 3
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]] => 2
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]] => 2
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],.]] => 2
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],.]] => 3
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],.]] => 2
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => 1
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.] => 1
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],.] => 2
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.] => 1
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.] => 1
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],.] => 2
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],.] => 2
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.] => 2
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.] => 2
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.] => 1
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.] => 1
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],.] => 2
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.] => 1
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => 1
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => 0
[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => 0
[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]] => 0
[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]] => 0
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[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]] => 0
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]] => 0
[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]] => 0
[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]] => 0
[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]] => 0
[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]] => 0
[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]] => 0
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => 0
[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]] => 1
[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]] => 1
[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]] => 1
[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]] => 1
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] => 1
[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.] => 1
[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.] => 1
[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]] => 1
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]] => 1
[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.] => 1
[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.] => 1
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => 1
[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]] => 1
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => 1
[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.] => 1
[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.] => 1
[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.] => 0
[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.] => 1
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => 1
[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]] => 0
[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]] => 0
[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]] => 0
[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => 0
[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]] => 1
[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]] => 1
[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]] => 0
[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]] => 1
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => 1
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => 1
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => 1
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => 1
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => 1
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[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => 2
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[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => 1
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => 2
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => 2
[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => 2
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => 2
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => 1
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => 1
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => 2
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => 1
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => 1
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => 2
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => 2
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => 3
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => 2
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => 2
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => 2
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => 3
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => 2
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => 1
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => 1
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[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => 2
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => 2
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[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => 1
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[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],.]] => 2
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],.]] => 2
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[[.,.],[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]] => 1
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[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => 3
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]] => 2
[[.,[[.,.],.]],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]] => 2
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => 3
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => 3
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]] => 3
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => 3
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]] => 2
[[.,[[.,.],.]],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]] => 2
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],[[.,.],.]]],.]] => 3
[[.,[[.,.],.]],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]] => 2
[[.,[[.,.],.]],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],[[.,.],.]]]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,[[.,.],.]],.]]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],[[.,.],.]]] => 3
[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],[[.,.],.]]],.]] => 2
[[.,[[.,.],[[.,.],.]]],[[.,[[.,[[.,.],.]],.]],.]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,.],[[.,.],.]]]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,.],[[.,[[.,.],.]],.]]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],[[.,.],.]]] => 3
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],[[.,.],.]]],.]] => 2
[[.,[[.,[[.,.],.]],.]],[[.,[[.,[[.,.],.]],.]],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,.],[[.,[[.,.],.]],.]]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,.],[[.,.],.]]] => 3
[[.,[[.,[[.,.],.]],[[.,.],.]]],[[.,[[.,.],.]],.]] => 3
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,[[.,.],[[.,.],.]]],.]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],[[.,.],.]]] => 2
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,[[.,.],.]],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]] => 2
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],[[.,.],.]] => 2
[[.,[[.,.],[[.,[[.,.],.]],[[.,.],.]]]],[[.,.],.]] => 3
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],[[.,.],.]] => 2
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],[[.,.],.]] => 2
[[.,[[.,[[.,.],.]],[[.,.],[[.,.],.]]]],[[.,.],.]] => 3
[[.,[[.,[[.,.],.]],[[.,[[.,.],.]],.]]],[[.,.],.]] => 3
[[.,[[.,[[.,.],[[.,.],.]]],[[.,.],.]]],[[.,.],.]] => 3
[[.,[[.,[[.,[[.,.],.]],.]],[[.,.],.]]],[[.,.],.]] => 3
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],[[.,.],.]] => 2
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],[[.,.],.]] => 2
[[.,[[.,[[.,[[.,.],.]],[[.,.],.]]],.]],[[.,.],.]] => 3
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],[[.,.],.]] => 2
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[[.,.],.]] => 2
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.] => 1
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[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]],.] => 2
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[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => 0
[[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.],[.,.]] => 1
[[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.],[.,.]] => 1
[[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.],[.,.]] => 0
[[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.],[.,.]] => 1
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.],[.,.]] => 1
[[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]],[.,.]] => 0
[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]],[.,.]] => 0
[[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]],[.,.]] => 0
[[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]],[.,.]] => 0
[[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]],[.,.]] => 1
[[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]],[.,.]] => 1
[[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],[.,.]] => 0
[[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]],[.,.]] => 1
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => 1
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => 1
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => 1
[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => 2
[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => 1
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => 1
[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => 2
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => 2
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => 2
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => 2
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => 1
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => 1
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => 2
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => 1
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => 1
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => 2
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => 2
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => 3
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => 2
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => 2
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => 2
[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => 2
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => 2
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => 2
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => 2
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => 2
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => 3
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => 2
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => 2
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => 1
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => 1
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => 2
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => 1
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => 1
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => 2
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => 2
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => 2
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => 2
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => 1
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => 1
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => 2
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => 1
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => 1
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => 2
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => 2
[[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => 3
[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => 2
[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => 2
[[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => 3
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => 3
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => 3
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => 3
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => 2
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => 2
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => 3
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => 2
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => 2
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => 2
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => 2
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => 3
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => 2
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => 2
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => 3
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => 2
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => 3
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => 3
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => 2
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => 2
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => 2
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => 2
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => 2
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => 3
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => 2
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => 2
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => 3
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => 3
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => 3
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => 3
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => 2
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => 2
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => 3
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => 2
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => 1
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => 1
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => 2
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => 1
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => 1
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => 2
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => 2
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => 2
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => 2
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => 1
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => 1
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => 2
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => 1
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => 1
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => 2
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => 2
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => 3
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => 2
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => 2
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => 2
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => 2
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => 2
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => 2
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => 2
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => 2
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => 3
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => 2
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => 1
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => 1
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => 2
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => 1
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => 1
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => 2
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => 2
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => 2
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => 2
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => 1
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => 1
[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => 2
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => 1
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Created: Feb 25, 2016 at 09:05 by Martin Rubey
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Last Updated: Dec 12, 2018 at 23:47 by Martin Rubey