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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 *
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-----------------------------------------------------------------------------
Statistic identifier: St001554
-----------------------------------------------------------------------------
Collection: Binary trees
-----------------------------------------------------------------------------
Description: The number of distinct nonempty subtrees of a binary tree.
-----------------------------------------------------------------------------
References: [1] The number of unlabeled binary trees that contain n distinct subtrees, where a subtree means take any node and everything below that node. [[OEIS:A254789]]
-----------------------------------------------------------------------------
Code:
def statistic(B):
return len(set([T for T in B.subtrees()]))
-----------------------------------------------------------------------------
Statistic values:
[.,.] => 1
[.,[.,.]] => 2
[[.,.],.] => 2
[.,[.,[.,.]]] => 3
[.,[[.,.],.]] => 3
[[.,.],[.,.]] => 2
[[.,[.,.]],.] => 3
[[[.,.],.],.] => 3
[.,[.,[.,[.,.]]]] => 4
[.,[.,[[.,.],.]]] => 4
[.,[[.,.],[.,.]]] => 3
[.,[[.,[.,.]],.]] => 4
[.,[[[.,.],.],.]] => 4
[[.,.],[.,[.,.]]] => 3
[[.,.],[[.,.],.]] => 3
[[.,[.,.]],[.,.]] => 3
[[[.,.],.],[.,.]] => 3
[[.,[.,[.,.]]],.] => 4
[[.,[[.,.],.]],.] => 4
[[[.,.],[.,.]],.] => 3
[[[.,[.,.]],.],.] => 4
[[[[.,.],.],.],.] => 4
[.,[.,[.,[.,[.,.]]]]] => 5
[.,[.,[.,[[.,.],.]]]] => 5
[.,[.,[[.,.],[.,.]]]] => 4
[.,[.,[[.,[.,.]],.]]] => 5
[.,[.,[[[.,.],.],.]]] => 5
[.,[[.,.],[.,[.,.]]]] => 4
[.,[[.,.],[[.,.],.]]] => 4
[.,[[.,[.,.]],[.,.]]] => 4
[.,[[[.,.],.],[.,.]]] => 4
[.,[[.,[.,[.,.]]],.]] => 5
[.,[[.,[[.,.],.]],.]] => 5
[.,[[[.,.],[.,.]],.]] => 4
[.,[[[.,[.,.]],.],.]] => 5
[.,[[[[.,.],.],.],.]] => 5
[[.,.],[.,[.,[.,.]]]] => 4
[[.,.],[.,[[.,.],.]]] => 4
[[.,.],[[.,.],[.,.]]] => 3
[[.,.],[[.,[.,.]],.]] => 4
[[.,.],[[[.,.],.],.]] => 4
[[.,[.,.]],[.,[.,.]]] => 3
[[.,[.,.]],[[.,.],.]] => 4
[[[.,.],.],[.,[.,.]]] => 4
[[[.,.],.],[[.,.],.]] => 3
[[.,[.,[.,.]]],[.,.]] => 4
[[.,[[.,.],.]],[.,.]] => 4
[[[.,.],[.,.]],[.,.]] => 3
[[[.,[.,.]],.],[.,.]] => 4
[[[[.,.],.],.],[.,.]] => 4
[[.,[.,[.,[.,.]]]],.] => 5
[[.,[.,[[.,.],.]]],.] => 5
[[.,[[.,.],[.,.]]],.] => 4
[[.,[[.,[.,.]],.]],.] => 5
[[.,[[[.,.],.],.]],.] => 5
[[[.,.],[.,[.,.]]],.] => 4
[[[.,.],[[.,.],.]],.] => 4
[[[.,[.,.]],[.,.]],.] => 4
[[[[.,.],.],[.,.]],.] => 4
[[[.,[.,[.,.]]],.],.] => 5
[[[.,[[.,.],.]],.],.] => 5
[[[[.,.],[.,.]],.],.] => 4
[[[[.,[.,.]],.],.],.] => 5
[[[[[.,.],.],.],.],.] => 5
[.,[.,[.,[.,[.,[.,.]]]]]] => 6
[.,[.,[.,[.,[[.,.],.]]]]] => 6
[.,[.,[.,[[.,.],[.,.]]]]] => 5
[.,[.,[.,[[.,[.,.]],.]]]] => 6
[.,[.,[.,[[[.,.],.],.]]]] => 6
[.,[.,[[.,.],[.,[.,.]]]]] => 5
[.,[.,[[.,.],[[.,.],.]]]] => 5
[.,[.,[[.,[.,.]],[.,.]]]] => 5
[.,[.,[[[.,.],.],[.,.]]]] => 5
[.,[.,[[.,[.,[.,.]]],.]]] => 6
[.,[.,[[.,[[.,.],.]],.]]] => 6
[.,[.,[[[.,.],[.,.]],.]]] => 5
[.,[.,[[[.,[.,.]],.],.]]] => 6
[.,[.,[[[[.,.],.],.],.]]] => 6
[.,[[.,.],[.,[.,[.,.]]]]] => 5
[.,[[.,.],[.,[[.,.],.]]]] => 5
[.,[[.,.],[[.,.],[.,.]]]] => 4
[.,[[.,.],[[.,[.,.]],.]]] => 5
[.,[[.,.],[[[.,.],.],.]]] => 5
[.,[[.,[.,.]],[.,[.,.]]]] => 4
[.,[[.,[.,.]],[[.,.],.]]] => 5
[.,[[[.,.],.],[.,[.,.]]]] => 5
[.,[[[.,.],.],[[.,.],.]]] => 4
[.,[[.,[.,[.,.]]],[.,.]]] => 5
[.,[[.,[[.,.],.]],[.,.]]] => 5
[.,[[[.,.],[.,.]],[.,.]]] => 4
[.,[[[.,[.,.]],.],[.,.]]] => 5
[.,[[[[.,.],.],.],[.,.]]] => 5
[.,[[.,[.,[.,[.,.]]]],.]] => 6
[.,[[.,[.,[[.,.],.]]],.]] => 6
[.,[[.,[[.,.],[.,.]]],.]] => 5
[.,[[.,[[.,[.,.]],.]],.]] => 6
[.,[[.,[[[.,.],.],.]],.]] => 6
[.,[[[.,.],[.,[.,.]]],.]] => 5
[.,[[[.,.],[[.,.],.]],.]] => 5
[.,[[[.,[.,.]],[.,.]],.]] => 5
[.,[[[[.,.],.],[.,.]],.]] => 5
[.,[[[.,[.,[.,.]]],.],.]] => 6
[.,[[[.,[[.,.],.]],.],.]] => 6
[.,[[[[.,.],[.,.]],.],.]] => 5
[.,[[[[.,[.,.]],.],.],.]] => 6
[.,[[[[[.,.],.],.],.],.]] => 6
[[.,.],[.,[.,[.,[.,.]]]]] => 5
[[.,.],[.,[.,[[.,.],.]]]] => 5
[[.,.],[.,[[.,.],[.,.]]]] => 4
[[.,.],[.,[[.,[.,.]],.]]] => 5
[[.,.],[.,[[[.,.],.],.]]] => 5
[[.,.],[[.,.],[.,[.,.]]]] => 4
[[.,.],[[.,.],[[.,.],.]]] => 4
[[.,.],[[.,[.,.]],[.,.]]] => 4
[[.,.],[[[.,.],.],[.,.]]] => 4
[[.,.],[[.,[.,[.,.]]],.]] => 5
[[.,.],[[.,[[.,.],.]],.]] => 5
[[.,.],[[[.,.],[.,.]],.]] => 4
[[.,.],[[[.,[.,.]],.],.]] => 5
[[.,.],[[[[.,.],.],.],.]] => 5
[[.,[.,.]],[.,[.,[.,.]]]] => 4
[[.,[.,.]],[.,[[.,.],.]]] => 5
[[.,[.,.]],[[.,.],[.,.]]] => 4
[[.,[.,.]],[[.,[.,.]],.]] => 4
[[.,[.,.]],[[[.,.],.],.]] => 5
[[[.,.],.],[.,[.,[.,.]]]] => 5
[[[.,.],.],[.,[[.,.],.]]] => 4
[[[.,.],.],[[.,.],[.,.]]] => 4
[[[.,.],.],[[.,[.,.]],.]] => 5
[[[.,.],.],[[[.,.],.],.]] => 4
[[.,[.,[.,.]]],[.,[.,.]]] => 4
[[.,[.,[.,.]]],[[.,.],.]] => 5
[[.,[[.,.],.]],[.,[.,.]]] => 5
[[.,[[.,.],.]],[[.,.],.]] => 4
[[[.,.],[.,.]],[.,[.,.]]] => 4
[[[.,.],[.,.]],[[.,.],.]] => 4
[[[.,[.,.]],.],[.,[.,.]]] => 4
[[[.,[.,.]],.],[[.,.],.]] => 5
[[[[.,.],.],.],[.,[.,.]]] => 5
[[[[.,.],.],.],[[.,.],.]] => 4
[[.,[.,[.,[.,.]]]],[.,.]] => 5
[[.,[.,[[.,.],.]]],[.,.]] => 5
[[.,[[.,.],[.,.]]],[.,.]] => 4
[[.,[[.,[.,.]],.]],[.,.]] => 5
[[.,[[[.,.],.],.]],[.,.]] => 5
[[[.,.],[.,[.,.]]],[.,.]] => 4
[[[.,.],[[.,.],.]],[.,.]] => 4
[[[.,[.,.]],[.,.]],[.,.]] => 4
[[[[.,.],.],[.,.]],[.,.]] => 4
[[[.,[.,[.,.]]],.],[.,.]] => 5
[[[.,[[.,.],.]],.],[.,.]] => 5
[[[[.,.],[.,.]],.],[.,.]] => 4
[[[[.,[.,.]],.],.],[.,.]] => 5
[[[[[.,.],.],.],.],[.,.]] => 5
[[.,[.,[.,[.,[.,.]]]]],.] => 6
[[.,[.,[.,[[.,.],.]]]],.] => 6
[[.,[.,[[.,.],[.,.]]]],.] => 5
[[.,[.,[[.,[.,.]],.]]],.] => 6
[[.,[.,[[[.,.],.],.]]],.] => 6
[[.,[[.,.],[.,[.,.]]]],.] => 5
[[.,[[.,.],[[.,.],.]]],.] => 5
[[.,[[.,[.,.]],[.,.]]],.] => 5
[[.,[[[.,.],.],[.,.]]],.] => 5
[[.,[[.,[.,[.,.]]],.]],.] => 6
[[.,[[.,[[.,.],.]],.]],.] => 6
[[.,[[[.,.],[.,.]],.]],.] => 5
[[.,[[[.,[.,.]],.],.]],.] => 6
[[.,[[[[.,.],.],.],.]],.] => 6
[[[.,.],[.,[.,[.,.]]]],.] => 5
[[[.,.],[.,[[.,.],.]]],.] => 5
[[[.,.],[[.,.],[.,.]]],.] => 4
[[[.,.],[[.,[.,.]],.]],.] => 5
[[[.,.],[[[.,.],.],.]],.] => 5
[[[.,[.,.]],[.,[.,.]]],.] => 4
[[[.,[.,.]],[[.,.],.]],.] => 5
[[[[.,.],.],[.,[.,.]]],.] => 5
[[[[.,.],.],[[.,.],.]],.] => 4
[[[.,[.,[.,.]]],[.,.]],.] => 5
[[[.,[[.,.],.]],[.,.]],.] => 5
[[[[.,.],[.,.]],[.,.]],.] => 4
[[[[.,[.,.]],.],[.,.]],.] => 5
[[[[[.,.],.],.],[.,.]],.] => 5
[[[.,[.,[.,[.,.]]]],.],.] => 6
[[[.,[.,[[.,.],.]]],.],.] => 6
[[[.,[[.,.],[.,.]]],.],.] => 5
[[[.,[[.,[.,.]],.]],.],.] => 6
[[[.,[[[.,.],.],.]],.],.] => 6
[[[[.,.],[.,[.,.]]],.],.] => 5
[[[[.,.],[[.,.],.]],.],.] => 5
[[[[.,[.,.]],[.,.]],.],.] => 5
[[[[[.,.],.],[.,.]],.],.] => 5
[[[[.,[.,[.,.]]],.],.],.] => 6
[[[[.,[[.,.],.]],.],.],.] => 6
[[[[[.,.],[.,.]],.],.],.] => 5
[[[[[.,[.,.]],.],.],.],.] => 6
[[[[[[.,.],.],.],.],.],.] => 6
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => 7
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => 6
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => 7
[.,[.,[.,[.,[[[.,.],.],.]]]]] => 7
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => 6
[.,[.,[.,[[.,.],[[.,.],.]]]]] => 6
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => 6
[.,[.,[.,[[[.,.],.],[.,.]]]]] => 6
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => 7
[.,[.,[.,[[.,[[.,.],.]],.]]]] => 7
[.,[.,[.,[[[.,.],[.,.]],.]]]] => 6
[.,[.,[.,[[[.,[.,.]],.],.]]]] => 7
[.,[.,[.,[[[[.,.],.],.],.]]]] => 7
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => 6
[.,[.,[[.,.],[.,[[.,.],.]]]]] => 6
[.,[.,[[.,.],[[.,.],[.,.]]]]] => 5
[.,[.,[[.,.],[[.,[.,.]],.]]]] => 6
[.,[.,[[.,.],[[[.,.],.],.]]]] => 6
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => 5
[.,[.,[[.,[.,.]],[[.,.],.]]]] => 6
[.,[.,[[[.,.],.],[.,[.,.]]]]] => 6
[.,[.,[[[.,.],.],[[.,.],.]]]] => 5
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => 6
[.,[.,[[.,[[.,.],.]],[.,.]]]] => 6
[.,[.,[[[.,.],[.,.]],[.,.]]]] => 5
[.,[.,[[[.,[.,.]],.],[.,.]]]] => 6
[.,[.,[[[[.,.],.],.],[.,.]]]] => 6
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => 7
[.,[.,[[.,[.,[[.,.],.]]],.]]] => 7
[.,[.,[[.,[[.,.],[.,.]]],.]]] => 6
[.,[.,[[.,[[.,[.,.]],.]],.]]] => 7
[.,[.,[[.,[[[.,.],.],.]],.]]] => 7
[.,[.,[[[.,.],[.,[.,.]]],.]]] => 6
[.,[.,[[[.,.],[[.,.],.]],.]]] => 6
[.,[.,[[[.,[.,.]],[.,.]],.]]] => 6
[.,[.,[[[[.,.],.],[.,.]],.]]] => 6
[.,[.,[[[.,[.,[.,.]]],.],.]]] => 7
[.,[.,[[[.,[[.,.],.]],.],.]]] => 7
[.,[.,[[[[.,.],[.,.]],.],.]]] => 6
[.,[.,[[[[.,[.,.]],.],.],.]]] => 7
[.,[.,[[[[[.,.],.],.],.],.]]] => 7
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => 6
[.,[[.,.],[.,[.,[[.,.],.]]]]] => 6
[.,[[.,.],[.,[[.,.],[.,.]]]]] => 5
[.,[[.,.],[.,[[.,[.,.]],.]]]] => 6
[.,[[.,.],[.,[[[.,.],.],.]]]] => 6
[.,[[.,.],[[.,.],[.,[.,.]]]]] => 5
[.,[[.,.],[[.,.],[[.,.],.]]]] => 5
[.,[[.,.],[[.,[.,.]],[.,.]]]] => 5
[.,[[.,.],[[[.,.],.],[.,.]]]] => 5
[.,[[.,.],[[.,[.,[.,.]]],.]]] => 6
[.,[[.,.],[[.,[[.,.],.]],.]]] => 6
[.,[[.,.],[[[.,.],[.,.]],.]]] => 5
[.,[[.,.],[[[.,[.,.]],.],.]]] => 6
[.,[[.,.],[[[[.,.],.],.],.]]] => 6
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => 5
[.,[[.,[.,.]],[.,[[.,.],.]]]] => 6
[.,[[.,[.,.]],[[.,.],[.,.]]]] => 5
[.,[[.,[.,.]],[[.,[.,.]],.]]] => 5
[.,[[.,[.,.]],[[[.,.],.],.]]] => 6
[.,[[[.,.],.],[.,[.,[.,.]]]]] => 6
[.,[[[.,.],.],[.,[[.,.],.]]]] => 5
[.,[[[.,.],.],[[.,.],[.,.]]]] => 5
[.,[[[.,.],.],[[.,[.,.]],.]]] => 6
[.,[[[.,.],.],[[[.,.],.],.]]] => 5
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => 5
[.,[[.,[.,[.,.]]],[[.,.],.]]] => 6
[.,[[.,[[.,.],.]],[.,[.,.]]]] => 6
[.,[[.,[[.,.],.]],[[.,.],.]]] => 5
[.,[[[.,.],[.,.]],[.,[.,.]]]] => 5
[.,[[[.,.],[.,.]],[[.,.],.]]] => 5
[.,[[[.,[.,.]],.],[.,[.,.]]]] => 5
[.,[[[.,[.,.]],.],[[.,.],.]]] => 6
[.,[[[[.,.],.],.],[.,[.,.]]]] => 6
[.,[[[[.,.],.],.],[[.,.],.]]] => 5
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => 6
[.,[[.,[.,[[.,.],.]]],[.,.]]] => 6
[.,[[.,[[.,.],[.,.]]],[.,.]]] => 5
[.,[[.,[[.,[.,.]],.]],[.,.]]] => 6
[.,[[.,[[[.,.],.],.]],[.,.]]] => 6
[.,[[[.,.],[.,[.,.]]],[.,.]]] => 5
[.,[[[.,.],[[.,.],.]],[.,.]]] => 5
[.,[[[.,[.,.]],[.,.]],[.,.]]] => 5
[.,[[[[.,.],.],[.,.]],[.,.]]] => 5
[.,[[[.,[.,[.,.]]],.],[.,.]]] => 6
[.,[[[.,[[.,.],.]],.],[.,.]]] => 6
[.,[[[[.,.],[.,.]],.],[.,.]]] => 5
[.,[[[[.,[.,.]],.],.],[.,.]]] => 6
[.,[[[[[.,.],.],.],.],[.,.]]] => 6
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => 7
[.,[[.,[.,[.,[[.,.],.]]]],.]] => 7
[.,[[.,[.,[[.,.],[.,.]]]],.]] => 6
[.,[[.,[.,[[.,[.,.]],.]]],.]] => 7
[.,[[.,[.,[[[.,.],.],.]]],.]] => 7
[.,[[.,[[.,.],[.,[.,.]]]],.]] => 6
[.,[[.,[[.,.],[[.,.],.]]],.]] => 6
[.,[[.,[[.,[.,.]],[.,.]]],.]] => 6
[.,[[.,[[[.,.],.],[.,.]]],.]] => 6
[.,[[.,[[.,[.,[.,.]]],.]],.]] => 7
[.,[[.,[[.,[[.,.],.]],.]],.]] => 7
[.,[[.,[[[.,.],[.,.]],.]],.]] => 6
[.,[[.,[[[.,[.,.]],.],.]],.]] => 7
[.,[[.,[[[[.,.],.],.],.]],.]] => 7
[.,[[[.,.],[.,[.,[.,.]]]],.]] => 6
[.,[[[.,.],[.,[[.,.],.]]],.]] => 6
[.,[[[.,.],[[.,.],[.,.]]],.]] => 5
[.,[[[.,.],[[.,[.,.]],.]],.]] => 6
[.,[[[.,.],[[[.,.],.],.]],.]] => 6
[.,[[[.,[.,.]],[.,[.,.]]],.]] => 5
[.,[[[.,[.,.]],[[.,.],.]],.]] => 6
[.,[[[[.,.],.],[.,[.,.]]],.]] => 6
[.,[[[[.,.],.],[[.,.],.]],.]] => 5
[.,[[[.,[.,[.,.]]],[.,.]],.]] => 6
[.,[[[.,[[.,.],.]],[.,.]],.]] => 6
[.,[[[[.,.],[.,.]],[.,.]],.]] => 5
[.,[[[[.,[.,.]],.],[.,.]],.]] => 6
[.,[[[[[.,.],.],.],[.,.]],.]] => 6
[.,[[[.,[.,[.,[.,.]]]],.],.]] => 7
[.,[[[.,[.,[[.,.],.]]],.],.]] => 7
[.,[[[.,[[.,.],[.,.]]],.],.]] => 6
[.,[[[.,[[.,[.,.]],.]],.],.]] => 7
[.,[[[.,[[[.,.],.],.]],.],.]] => 7
[.,[[[[.,.],[.,[.,.]]],.],.]] => 6
[.,[[[[.,.],[[.,.],.]],.],.]] => 6
[.,[[[[.,[.,.]],[.,.]],.],.]] => 6
[.,[[[[[.,.],.],[.,.]],.],.]] => 6
[.,[[[[.,[.,[.,.]]],.],.],.]] => 7
[.,[[[[.,[[.,.],.]],.],.],.]] => 7
[.,[[[[[.,.],[.,.]],.],.],.]] => 6
[.,[[[[[.,[.,.]],.],.],.],.]] => 7
[.,[[[[[[.,.],.],.],.],.],.]] => 7
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => 6
[[.,.],[.,[.,[.,[[.,.],.]]]]] => 6
[[.,.],[.,[.,[[.,.],[.,.]]]]] => 5
[[.,.],[.,[.,[[.,[.,.]],.]]]] => 6
[[.,.],[.,[.,[[[.,.],.],.]]]] => 6
[[.,.],[.,[[.,.],[.,[.,.]]]]] => 5
[[.,.],[.,[[.,.],[[.,.],.]]]] => 5
[[.,.],[.,[[.,[.,.]],[.,.]]]] => 5
[[.,.],[.,[[[.,.],.],[.,.]]]] => 5
[[.,.],[.,[[.,[.,[.,.]]],.]]] => 6
[[.,.],[.,[[.,[[.,.],.]],.]]] => 6
[[.,.],[.,[[[.,.],[.,.]],.]]] => 5
[[.,.],[.,[[[.,[.,.]],.],.]]] => 6
[[.,.],[.,[[[[.,.],.],.],.]]] => 6
[[.,.],[[.,.],[.,[.,[.,.]]]]] => 5
[[.,.],[[.,.],[.,[[.,.],.]]]] => 5
[[.,.],[[.,.],[[.,.],[.,.]]]] => 4
[[.,.],[[.,.],[[.,[.,.]],.]]] => 5
[[.,.],[[.,.],[[[.,.],.],.]]] => 5
[[.,.],[[.,[.,.]],[.,[.,.]]]] => 4
[[.,.],[[.,[.,.]],[[.,.],.]]] => 5
[[.,.],[[[.,.],.],[.,[.,.]]]] => 5
[[.,.],[[[.,.],.],[[.,.],.]]] => 4
[[.,.],[[.,[.,[.,.]]],[.,.]]] => 5
[[.,.],[[.,[[.,.],.]],[.,.]]] => 5
[[.,.],[[[.,.],[.,.]],[.,.]]] => 4
[[.,.],[[[.,[.,.]],.],[.,.]]] => 5
[[.,.],[[[[.,.],.],.],[.,.]]] => 5
[[.,.],[[.,[.,[.,[.,.]]]],.]] => 6
[[.,.],[[.,[.,[[.,.],.]]],.]] => 6
[[.,.],[[.,[[.,.],[.,.]]],.]] => 5
[[.,.],[[.,[[.,[.,.]],.]],.]] => 6
[[.,.],[[.,[[[.,.],.],.]],.]] => 6
[[.,.],[[[.,.],[.,[.,.]]],.]] => 5
[[.,.],[[[.,.],[[.,.],.]],.]] => 5
[[.,.],[[[.,[.,.]],[.,.]],.]] => 5
[[.,.],[[[[.,.],.],[.,.]],.]] => 5
[[.,.],[[[.,[.,[.,.]]],.],.]] => 6
[[.,.],[[[.,[[.,.],.]],.],.]] => 6
[[.,.],[[[[.,.],[.,.]],.],.]] => 5
[[.,.],[[[[.,[.,.]],.],.],.]] => 6
[[.,.],[[[[[.,.],.],.],.],.]] => 6
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => 5
[[.,[.,.]],[.,[.,[[.,.],.]]]] => 6
[[.,[.,.]],[.,[[.,.],[.,.]]]] => 5
[[.,[.,.]],[.,[[.,[.,.]],.]]] => 5
[[.,[.,.]],[.,[[[.,.],.],.]]] => 6
[[.,[.,.]],[[.,.],[.,[.,.]]]] => 4
[[.,[.,.]],[[.,.],[[.,.],.]]] => 5
[[.,[.,.]],[[.,[.,.]],[.,.]]] => 4
[[.,[.,.]],[[[.,.],.],[.,.]]] => 5
[[.,[.,.]],[[.,[.,[.,.]]],.]] => 5
[[.,[.,.]],[[.,[[.,.],.]],.]] => 6
[[.,[.,.]],[[[.,.],[.,.]],.]] => 5
[[.,[.,.]],[[[.,[.,.]],.],.]] => 5
[[.,[.,.]],[[[[.,.],.],.],.]] => 6
[[[.,.],.],[.,[.,[.,[.,.]]]]] => 6
[[[.,.],.],[.,[.,[[.,.],.]]]] => 5
[[[.,.],.],[.,[[.,.],[.,.]]]] => 5
[[[.,.],.],[.,[[.,[.,.]],.]]] => 6
[[[.,.],.],[.,[[[.,.],.],.]]] => 5
[[[.,.],.],[[.,.],[.,[.,.]]]] => 5
[[[.,.],.],[[.,.],[[.,.],.]]] => 4
[[[.,.],.],[[.,[.,.]],[.,.]]] => 5
[[[.,.],.],[[[.,.],.],[.,.]]] => 4
[[[.,.],.],[[.,[.,[.,.]]],.]] => 6
[[[.,.],.],[[.,[[.,.],.]],.]] => 5
[[[.,.],.],[[[.,.],[.,.]],.]] => 5
[[[.,.],.],[[[.,[.,.]],.],.]] => 6
[[[.,.],.],[[[[.,.],.],.],.]] => 5
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => 4
[[.,[.,[.,.]]],[.,[[.,.],.]]] => 6
[[.,[.,[.,.]]],[[.,.],[.,.]]] => 5
[[.,[.,[.,.]]],[[.,[.,.]],.]] => 5
[[.,[.,[.,.]]],[[[.,.],.],.]] => 6
[[.,[[.,.],.]],[.,[.,[.,.]]]] => 6
[[.,[[.,.],.]],[.,[[.,.],.]]] => 4
[[.,[[.,.],.]],[[.,.],[.,.]]] => 5
[[.,[[.,.],.]],[[.,[.,.]],.]] => 6
[[.,[[.,.],.]],[[[.,.],.],.]] => 5
[[[.,.],[.,.]],[.,[.,[.,.]]]] => 5
[[[.,.],[.,.]],[.,[[.,.],.]]] => 5
[[[.,.],[.,.]],[[.,.],[.,.]]] => 3
[[[.,.],[.,.]],[[.,[.,.]],.]] => 5
[[[.,.],[.,.]],[[[.,.],.],.]] => 5
[[[.,[.,.]],.],[.,[.,[.,.]]]] => 5
[[[.,[.,.]],.],[.,[[.,.],.]]] => 6
[[[.,[.,.]],.],[[.,.],[.,.]]] => 5
[[[.,[.,.]],.],[[.,[.,.]],.]] => 4
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[[[[.,.],.],.],[.,[.,[.,.]]]] => 6
[[[[.,.],.],.],[.,[[.,.],.]]] => 5
[[[[.,.],.],.],[[.,.],[.,.]]] => 5
[[[[.,.],.],.],[[.,[.,.]],.]] => 6
[[[[.,.],.],.],[[[.,.],.],.]] => 4
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => 5
[[.,[.,[.,[.,.]]]],[[.,.],.]] => 6
[[.,[.,[[.,.],.]]],[.,[.,.]]] => 6
[[.,[.,[[.,.],.]]],[[.,.],.]] => 5
[[.,[[.,.],[.,.]]],[.,[.,.]]] => 5
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[[.,[[.,[.,.]],.]],[.,[.,.]]] => 5
[[.,[[.,[.,.]],.]],[[.,.],.]] => 6
[[.,[[[.,.],.],.]],[.,[.,.]]] => 6
[[.,[[[.,.],.],.]],[[.,.],.]] => 5
[[[.,.],[.,[.,.]]],[.,[.,.]]] => 4
[[[.,.],[.,[.,.]]],[[.,.],.]] => 5
[[[.,.],[[.,.],.]],[.,[.,.]]] => 5
[[[.,.],[[.,.],.]],[[.,.],.]] => 4
[[[.,[.,.]],[.,.]],[.,[.,.]]] => 4
[[[.,[.,.]],[.,.]],[[.,.],.]] => 5
[[[[.,.],.],[.,.]],[.,[.,.]]] => 5
[[[[.,.],.],[.,.]],[[.,.],.]] => 4
[[[.,[.,[.,.]]],.],[.,[.,.]]] => 5
[[[.,[.,[.,.]]],.],[[.,.],.]] => 6
[[[.,[[.,.],.]],.],[.,[.,.]]] => 6
[[[.,[[.,.],.]],.],[[.,.],.]] => 5
[[[[.,.],[.,.]],.],[.,[.,.]]] => 5
[[[[.,.],[.,.]],.],[[.,.],.]] => 5
[[[[.,[.,.]],.],.],[.,[.,.]]] => 5
[[[[.,[.,.]],.],.],[[.,.],.]] => 6
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[[[[[.,.],.],.],.],[[.,.],.]] => 5
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[[.,[[.,.],[.,[.,.]]]],[.,.]] => 5
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[[.,[[.,[.,.]],[.,.]]],[.,.]] => 5
[[.,[[[.,.],.],[.,.]]],[.,.]] => 5
[[.,[[.,[.,[.,.]]],.]],[.,.]] => 6
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[[.,[[[.,.],[.,.]],.]],[.,.]] => 5
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[[.,[[[[.,.],.],.],.]],[.,.]] => 6
[[[.,.],[.,[.,[.,.]]]],[.,.]] => 5
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[[[.,.],[[.,.],[.,.]]],[.,.]] => 4
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[[[.,.],[[[.,.],.],.]],[.,.]] => 5
[[[.,[.,.]],[.,[.,.]]],[.,.]] => 4
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[[[[.,.],.],[.,[.,.]]],[.,.]] => 5
[[[[.,.],.],[[.,.],.]],[.,.]] => 4
[[[.,[.,[.,.]]],[.,.]],[.,.]] => 5
[[[.,[[.,.],.]],[.,.]],[.,.]] => 5
[[[[.,.],[.,.]],[.,.]],[.,.]] => 4
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[[[.,[.,[.,[.,.]]]],.],[.,.]] => 6
[[[.,[.,[[.,.],.]]],.],[.,.]] => 6
[[[.,[[.,.],[.,.]]],.],[.,.]] => 5
[[[.,[[.,[.,.]],.]],.],[.,.]] => 6
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[[.,[.,[.,[.,[.,[.,.]]]]]],.] => 7
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[[.,[.,[.,[[.,.],[.,.]]]]],.] => 6
[[.,[.,[.,[[.,[.,.]],.]]]],.] => 7
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[[.,[.,[[.,[.,[.,.]]],.]]],.] => 7
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[[.,[[.,[.,[.,[.,.]]]],.]],.] => 7
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[[.,[[.,[[.,.],[.,.]]],.]],.] => 6
[[.,[[.,[[.,[.,.]],.]],.]],.] => 7
[[.,[[.,[[[.,.],.],.]],.]],.] => 7
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[[[.,[.,.]],[.,[.,[.,.]]]],.] => 5
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[[[.,[.,.]],[[.,[.,.]],.]],.] => 5
[[[.,[.,.]],[[[.,.],.],.]],.] => 6
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[[[[.,.],.],[[.,[.,.]],.]],.] => 6
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[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 5
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 5
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 5
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => 6
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => 6
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 5
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 6
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => 6
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => 7
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => 7
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => 6
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => 7
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => 7
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => 6
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 6
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => 6
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => 6
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => 7
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => 7
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => 6
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => 7
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => 7
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => 6
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => 6
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 5
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => 6
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => 6
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => 5
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => 6
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => 6
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => 5
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => 6
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => 6
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 5
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => 6
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => 6
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => 7
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => 7
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => 6
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => 7
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => 7
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => 6
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => 6
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => 6
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => 6
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => 7
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => 7
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => 6
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => 7
[[.,.],[[[[[[.,.],.],.],.],.],.]] => 7
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 6
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 7
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 6
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 6
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 7
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 5
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 6
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 5
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 6
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => 6
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => 7
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => 6
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => 6
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 7
-----------------------------------------------------------------------------
Created: Jun 05, 2020 at 14:17 by Martin Rubey
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Last Updated: Jun 05, 2020 at 14:17 by Martin Rubey