*****************************************************************************
* 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. *
*****************************************************************************
-----------------------------------------------------------------------------
Statistic identifier: St000413
-----------------------------------------------------------------------------
Collection: Ordered trees
-----------------------------------------------------------------------------
Description: The number of ordered trees with the same underlying unordered tree.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
@cached_function
def Ordered_to_Rooted(n):
return [RootedTree(S) for S in OrderedTrees(n)]
def statistic(tree):
return Ordered_to_Rooted(tree.node_number()).count(RootedTree(tree))
-----------------------------------------------------------------------------
Statistic values:
[[]] => 1
[[],[]] => 1
[[[]]] => 1
[[],[],[]] => 1
[[],[[]]] => 2
[[[]],[]] => 2
[[[],[]]] => 1
[[[[]]]] => 1
[[],[],[],[]] => 1
[[],[],[[]]] => 3
[[],[[]],[]] => 3
[[],[[],[]]] => 2
[[],[[[]]]] => 2
[[[]],[],[]] => 3
[[[]],[[]]] => 1
[[[],[]],[]] => 2
[[[[]]],[]] => 2
[[[],[],[]]] => 1
[[[],[[]]]] => 2
[[[[]],[]]] => 2
[[[[],[]]]] => 1
[[[[[]]]]] => 1
[[],[],[],[],[]] => 1
[[],[],[],[[]]] => 4
[[],[],[[]],[]] => 4
[[],[],[[],[]]] => 3
[[],[],[[[]]]] => 3
[[],[[]],[],[]] => 4
[[],[[]],[[]]] => 3
[[],[[],[]],[]] => 3
[[],[[[]]],[]] => 3
[[],[[],[],[]]] => 2
[[],[[],[[]]]] => 4
[[],[[[]],[]]] => 4
[[],[[[],[]]]] => 2
[[],[[[[]]]]] => 2
[[[]],[],[],[]] => 4
[[[]],[],[[]]] => 3
[[[]],[[]],[]] => 3
[[[]],[[],[]]] => 2
[[[]],[[[]]]] => 2
[[[],[]],[],[]] => 3
[[[[]]],[],[]] => 3
[[[],[]],[[]]] => 2
[[[[]]],[[]]] => 2
[[[],[],[]],[]] => 2
[[[],[[]]],[]] => 4
[[[[]],[]],[]] => 4
[[[[],[]]],[]] => 2
[[[[[]]]],[]] => 2
[[[],[],[],[]]] => 1
[[[],[],[[]]]] => 3
[[[],[[]],[]]] => 3
[[[],[[],[]]]] => 2
[[[],[[[]]]]] => 2
[[[[]],[],[]]] => 3
[[[[]],[[]]]] => 1
[[[[],[]],[]]] => 2
[[[[[]]],[]]] => 2
[[[[],[],[]]]] => 1
[[[[],[[]]]]] => 2
[[[[[]],[]]]] => 2
[[[[[],[]]]]] => 1
[[[[[[]]]]]] => 1
[[],[],[],[],[],[]] => 1
[[],[],[],[],[[]]] => 5
[[],[],[],[[]],[]] => 5
[[],[],[],[[],[]]] => 4
[[],[],[],[[[]]]] => 4
[[],[],[[]],[],[]] => 5
[[],[],[[]],[[]]] => 6
[[],[],[[],[]],[]] => 4
[[],[],[[[]]],[]] => 4
[[],[],[[],[],[]]] => 3
[[],[],[[],[[]]]] => 6
[[],[],[[[]],[]]] => 6
[[],[],[[[],[]]]] => 3
[[],[],[[[[]]]]] => 3
[[],[[]],[],[],[]] => 5
[[],[[]],[],[[]]] => 6
[[],[[]],[[]],[]] => 6
[[],[[]],[[],[]]] => 6
[[],[[]],[[[]]]] => 6
[[],[[],[]],[],[]] => 4
[[],[[[]]],[],[]] => 4
[[],[[],[]],[[]]] => 6
[[],[[[]]],[[]]] => 6
[[],[[],[],[]],[]] => 3
[[],[[],[[]]],[]] => 6
[[],[[[]],[]],[]] => 6
[[],[[[],[]]],[]] => 3
[[],[[[[]]]],[]] => 3
[[],[[],[],[],[]]] => 2
[[],[[],[],[[]]]] => 6
[[],[[],[[]],[]]] => 6
[[],[[],[[],[]]]] => 4
[[],[[],[[[]]]]] => 4
[[],[[[]],[],[]]] => 6
[[],[[[]],[[]]]] => 2
[[],[[[],[]],[]]] => 4
[[],[[[[]]],[]]] => 4
[[],[[[],[],[]]]] => 2
[[],[[[],[[]]]]] => 4
[[],[[[[]],[]]]] => 4
[[],[[[[],[]]]]] => 2
[[],[[[[[]]]]]] => 2
[[[]],[],[],[],[]] => 5
[[[]],[],[],[[]]] => 6
[[[]],[],[[]],[]] => 6
[[[]],[],[[],[]]] => 6
[[[]],[],[[[]]]] => 6
[[[]],[[]],[],[]] => 6
[[[]],[[]],[[]]] => 1
[[[]],[[],[]],[]] => 6
[[[]],[[[]]],[]] => 6
[[[]],[[],[],[]]] => 2
[[[]],[[],[[]]]] => 4
[[[]],[[[]],[]]] => 4
[[[]],[[[],[]]]] => 2
[[[]],[[[[]]]]] => 2
[[[],[]],[],[],[]] => 4
[[[[]]],[],[],[]] => 4
[[[],[]],[],[[]]] => 6
[[[[]]],[],[[]]] => 6
[[[],[]],[[]],[]] => 6
[[[[]]],[[]],[]] => 6
[[[],[]],[[],[]]] => 1
[[[],[]],[[[]]]] => 2
[[[[]]],[[],[]]] => 2
[[[[]]],[[[]]]] => 1
[[[],[],[]],[],[]] => 3
[[[],[[]]],[],[]] => 6
[[[[]],[]],[],[]] => 6
[[[[],[]]],[],[]] => 3
[[[[[]]]],[],[]] => 3
[[[],[],[]],[[]]] => 2
[[[],[[]]],[[]]] => 4
[[[[]],[]],[[]]] => 4
[[[[],[]]],[[]]] => 2
[[[[[]]]],[[]]] => 2
[[[],[],[],[]],[]] => 2
[[[],[],[[]]],[]] => 6
[[[],[[]],[]],[]] => 6
[[[],[[],[]]],[]] => 4
[[[],[[[]]]],[]] => 4
[[[[]],[],[]],[]] => 6
[[[[]],[[]]],[]] => 2
[[[[],[]],[]],[]] => 4
[[[[[]]],[]],[]] => 4
[[[[],[],[]]],[]] => 2
[[[[],[[]]]],[]] => 4
[[[[[]],[]]],[]] => 4
[[[[[],[]]]],[]] => 2
[[[[[[]]]]],[]] => 2
[[[],[],[],[],[]]] => 1
[[[],[],[],[[]]]] => 4
[[[],[],[[]],[]]] => 4
[[[],[],[[],[]]]] => 3
[[[],[],[[[]]]]] => 3
[[[],[[]],[],[]]] => 4
[[[],[[]],[[]]]] => 3
[[[],[[],[]],[]]] => 3
[[[],[[[]]],[]]] => 3
[[[],[[],[],[]]]] => 2
[[[],[[],[[]]]]] => 4
[[[],[[[]],[]]]] => 4
[[[],[[[],[]]]]] => 2
[[[],[[[[]]]]]] => 2
[[[[]],[],[],[]]] => 4
[[[[]],[],[[]]]] => 3
[[[[]],[[]],[]]] => 3
[[[[]],[[],[]]]] => 2
[[[[]],[[[]]]]] => 2
[[[[],[]],[],[]]] => 3
[[[[[]]],[],[]]] => 3
[[[[],[]],[[]]]] => 2
[[[[[]]],[[]]]] => 2
[[[[],[],[]],[]]] => 2
[[[[],[[]]],[]]] => 4
[[[[[]],[]],[]]] => 4
[[[[[],[]]],[]]] => 2
[[[[[[]]]],[]]] => 2
[[[[],[],[],[]]]] => 1
[[[[],[],[[]]]]] => 3
[[[[],[[]],[]]]] => 3
[[[[],[[],[]]]]] => 2
[[[[],[[[]]]]]] => 2
[[[[[]],[],[]]]] => 3
[[[[[]],[[]]]]] => 1
[[[[[],[]],[]]]] => 2
[[[[[[]]],[]]]] => 2
[[[[[],[],[]]]]] => 1
[[[[[],[[]]]]]] => 2
[[[[[[]],[]]]]] => 2
[[[[[[],[]]]]]] => 1
[[[[[[[]]]]]]] => 1
[[],[],[],[],[],[],[]] => 1
[[],[],[],[],[],[[]]] => 6
[[],[],[],[],[[]],[]] => 6
[[],[],[],[],[[],[]]] => 5
[[],[],[],[],[[[]]]] => 5
[[],[],[],[[]],[],[]] => 6
[[],[],[],[[]],[[]]] => 10
[[],[],[],[[],[]],[]] => 5
[[],[],[],[[[]]],[]] => 5
[[],[],[],[[],[],[]]] => 4
[[],[],[],[[],[[]]]] => 8
[[],[],[],[[[]],[]]] => 8
[[],[],[],[[[],[]]]] => 4
[[],[],[],[[[[]]]]] => 4
[[],[],[[]],[],[],[]] => 6
[[],[],[[]],[],[[]]] => 10
[[],[],[[]],[[]],[]] => 10
[[],[],[[]],[[],[]]] => 12
[[],[],[[]],[[[]]]] => 12
[[],[],[[],[]],[],[]] => 5
[[],[],[[[]]],[],[]] => 5
[[],[],[[],[]],[[]]] => 12
[[],[],[[[]]],[[]]] => 12
[[],[],[[],[],[]],[]] => 4
[[],[],[[],[[]]],[]] => 8
[[],[],[[[]],[]],[]] => 8
[[],[],[[[],[]]],[]] => 4
[[],[],[[[[]]]],[]] => 4
[[],[],[[],[],[],[]]] => 3
[[],[],[[],[],[[]]]] => 9
[[],[],[[],[[]],[]]] => 9
[[],[],[[],[[],[]]]] => 6
[[],[],[[],[[[]]]]] => 6
[[],[],[[[]],[],[]]] => 9
[[],[],[[[]],[[]]]] => 3
[[],[],[[[],[]],[]]] => 6
[[],[],[[[[]]],[]]] => 6
[[],[],[[[],[],[]]]] => 3
[[],[],[[[],[[]]]]] => 6
[[],[],[[[[]],[]]]] => 6
[[],[],[[[[],[]]]]] => 3
[[],[],[[[[[]]]]]] => 3
[[],[[]],[],[],[],[]] => 6
[[],[[]],[],[],[[]]] => 10
[[],[[]],[],[[]],[]] => 10
[[],[[]],[],[[],[]]] => 12
[[],[[]],[],[[[]]]] => 12
[[],[[]],[[]],[],[]] => 10
[[],[[]],[[]],[[]]] => 4
[[],[[]],[[],[]],[]] => 12
[[],[[]],[[[]]],[]] => 12
[[],[[]],[[],[],[]]] => 6
[[],[[]],[[],[[]]]] => 12
[[],[[]],[[[]],[]]] => 12
[[],[[]],[[[],[]]]] => 6
[[],[[]],[[[[]]]]] => 6
[[],[[],[]],[],[],[]] => 5
[[],[[[]]],[],[],[]] => 5
[[],[[],[]],[],[[]]] => 12
[[],[[[]]],[],[[]]] => 12
[[],[[],[]],[[]],[]] => 12
[[],[[[]]],[[]],[]] => 12
[[],[[],[]],[[],[]]] => 3
[[],[[],[]],[[[]]]] => 6
[[],[[[]]],[[],[]]] => 6
[[],[[[]]],[[[]]]] => 3
[[],[[],[],[]],[],[]] => 4
[[],[[],[[]]],[],[]] => 8
[[],[[[]],[]],[],[]] => 8
[[],[[[],[]]],[],[]] => 4
[[],[[[[]]]],[],[]] => 4
[[],[[],[],[]],[[]]] => 6
[[],[[],[[]]],[[]]] => 12
[[],[[[]],[]],[[]]] => 12
[[],[[[],[]]],[[]]] => 6
[[],[[[[]]]],[[]]] => 6
[[],[[],[],[],[]],[]] => 3
[[],[[],[],[[]]],[]] => 9
[[],[[],[[]],[]],[]] => 9
[[],[[],[[],[]]],[]] => 6
[[],[[],[[[]]]],[]] => 6
[[],[[[]],[],[]],[]] => 9
[[],[[[]],[[]]],[]] => 3
[[],[[[],[]],[]],[]] => 6
[[],[[[[]]],[]],[]] => 6
[[],[[[],[],[]]],[]] => 3
[[],[[[],[[]]]],[]] => 6
[[],[[[[]],[]]],[]] => 6
[[],[[[[],[]]]],[]] => 3
[[],[[[[[]]]]],[]] => 3
[[],[[],[],[],[],[]]] => 2
[[],[[],[],[],[[]]]] => 8
[[],[[],[],[[]],[]]] => 8
[[],[[],[],[[],[]]]] => 6
[[],[[],[],[[[]]]]] => 6
[[],[[],[[]],[],[]]] => 8
[[],[[],[[]],[[]]]] => 6
[[],[[],[[],[]],[]]] => 6
[[],[[],[[[]]],[]]] => 6
[[],[[],[[],[],[]]]] => 4
[[],[[],[[],[[]]]]] => 8
[[],[[],[[[]],[]]]] => 8
[[],[[],[[[],[]]]]] => 4
[[],[[],[[[[]]]]]] => 4
[[],[[[]],[],[],[]]] => 8
[[],[[[]],[],[[]]]] => 6
[[],[[[]],[[]],[]]] => 6
[[],[[[]],[[],[]]]] => 4
[[],[[[]],[[[]]]]] => 4
[[],[[[],[]],[],[]]] => 6
[[],[[[[]]],[],[]]] => 6
[[],[[[],[]],[[]]]] => 4
[[],[[[[]]],[[]]]] => 4
[[],[[[],[],[]],[]]] => 4
[[],[[[],[[]]],[]]] => 8
[[],[[[[]],[]],[]]] => 8
[[],[[[[],[]]],[]]] => 4
[[],[[[[[]]]],[]]] => 4
[[],[[[],[],[],[]]]] => 2
[[],[[[],[],[[]]]]] => 6
[[],[[[],[[]],[]]]] => 6
[[],[[[],[[],[]]]]] => 4
[[],[[[],[[[]]]]]] => 4
[[],[[[[]],[],[]]]] => 6
[[],[[[[]],[[]]]]] => 2
[[],[[[[],[]],[]]]] => 4
[[],[[[[[]]],[]]]] => 4
[[],[[[[],[],[]]]]] => 2
[[],[[[[],[[]]]]]] => 4
[[],[[[[[]],[]]]]] => 4
[[],[[[[[],[]]]]]] => 2
[[],[[[[[[]]]]]]] => 2
[[[]],[],[],[],[],[]] => 6
[[[]],[],[],[],[[]]] => 10
[[[]],[],[],[[]],[]] => 10
[[[]],[],[],[[],[]]] => 12
[[[]],[],[],[[[]]]] => 12
[[[]],[],[[]],[],[]] => 10
[[[]],[],[[]],[[]]] => 4
[[[]],[],[[],[]],[]] => 12
[[[]],[],[[[]]],[]] => 12
[[[]],[],[[],[],[]]] => 6
[[[]],[],[[],[[]]]] => 12
[[[]],[],[[[]],[]]] => 12
[[[]],[],[[[],[]]]] => 6
[[[]],[],[[[[]]]]] => 6
[[[]],[[]],[],[],[]] => 10
[[[]],[[]],[],[[]]] => 4
[[[]],[[]],[[]],[]] => 4
[[[]],[[]],[[],[]]] => 3
[[[]],[[]],[[[]]]] => 3
[[[]],[[],[]],[],[]] => 12
[[[]],[[[]]],[],[]] => 12
[[[]],[[],[]],[[]]] => 3
[[[]],[[[]]],[[]]] => 3
[[[]],[[],[],[]],[]] => 6
[[[]],[[],[[]]],[]] => 12
[[[]],[[[]],[]],[]] => 12
[[[]],[[[],[]]],[]] => 6
[[[]],[[[[]]]],[]] => 6
[[[]],[[],[],[],[]]] => 2
[[[]],[[],[],[[]]]] => 6
[[[]],[[],[[]],[]]] => 6
[[[]],[[],[[],[]]]] => 4
[[[]],[[],[[[]]]]] => 4
[[[]],[[[]],[],[]]] => 6
[[[]],[[[]],[[]]]] => 2
[[[]],[[[],[]],[]]] => 4
[[[]],[[[[]]],[]]] => 4
[[[]],[[[],[],[]]]] => 2
[[[]],[[[],[[]]]]] => 4
[[[]],[[[[]],[]]]] => 4
[[[]],[[[[],[]]]]] => 2
[[[]],[[[[[]]]]]] => 2
[[[],[]],[],[],[],[]] => 5
[[[[]]],[],[],[],[]] => 5
[[[],[]],[],[],[[]]] => 12
[[[[]]],[],[],[[]]] => 12
[[[],[]],[],[[]],[]] => 12
[[[[]]],[],[[]],[]] => 12
[[[],[]],[],[[],[]]] => 3
[[[],[]],[],[[[]]]] => 6
[[[[]]],[],[[],[]]] => 6
[[[[]]],[],[[[]]]] => 3
[[[],[]],[[]],[],[]] => 12
[[[[]]],[[]],[],[]] => 12
[[[],[]],[[]],[[]]] => 3
[[[[]]],[[]],[[]]] => 3
[[[],[]],[[],[]],[]] => 3
[[[],[]],[[[]]],[]] => 6
[[[[]]],[[],[]],[]] => 6
[[[[]]],[[[]]],[]] => 3
[[[],[]],[[],[],[]]] => 2
[[[],[]],[[],[[]]]] => 4
[[[],[]],[[[]],[]]] => 4
[[[],[]],[[[],[]]]] => 2
[[[],[]],[[[[]]]]] => 2
[[[[]]],[[],[],[]]] => 2
[[[[]]],[[],[[]]]] => 4
[[[[]]],[[[]],[]]] => 4
[[[[]]],[[[],[]]]] => 2
[[[[]]],[[[[]]]]] => 2
[[[],[],[]],[],[],[]] => 4
[[[],[[]]],[],[],[]] => 8
[[[[]],[]],[],[],[]] => 8
[[[[],[]]],[],[],[]] => 4
[[[[[]]]],[],[],[]] => 4
[[[],[],[]],[],[[]]] => 6
[[[],[[]]],[],[[]]] => 12
[[[[]],[]],[],[[]]] => 12
[[[[],[]]],[],[[]]] => 6
[[[[[]]]],[],[[]]] => 6
[[[],[],[]],[[]],[]] => 6
[[[],[[]]],[[]],[]] => 12
[[[[]],[]],[[]],[]] => 12
[[[[],[]]],[[]],[]] => 6
[[[[[]]]],[[]],[]] => 6
[[[],[],[]],[[],[]]] => 2
[[[],[],[]],[[[]]]] => 2
[[[],[[]]],[[],[]]] => 4
[[[],[[]]],[[[]]]] => 4
[[[[]],[]],[[],[]]] => 4
[[[[]],[]],[[[]]]] => 4
[[[[],[]]],[[],[]]] => 2
[[[[],[]]],[[[]]]] => 2
[[[[[]]]],[[],[]]] => 2
[[[[[]]]],[[[]]]] => 2
[[[],[],[],[]],[],[]] => 3
[[[],[],[[]]],[],[]] => 9
[[[],[[]],[]],[],[]] => 9
[[[],[[],[]]],[],[]] => 6
[[[],[[[]]]],[],[]] => 6
[[[[]],[],[]],[],[]] => 9
[[[[]],[[]]],[],[]] => 3
[[[[],[]],[]],[],[]] => 6
[[[[[]]],[]],[],[]] => 6
[[[[],[],[]]],[],[]] => 3
[[[[],[[]]]],[],[]] => 6
[[[[[]],[]]],[],[]] => 6
[[[[[],[]]]],[],[]] => 3
[[[[[[]]]]],[],[]] => 3
[[[],[],[],[]],[[]]] => 2
[[[],[],[[]]],[[]]] => 6
[[[],[[]],[]],[[]]] => 6
[[[],[[],[]]],[[]]] => 4
[[[],[[[]]]],[[]]] => 4
[[[[]],[],[]],[[]]] => 6
[[[[]],[[]]],[[]]] => 2
[[[[],[]],[]],[[]]] => 4
[[[[[]]],[]],[[]]] => 4
[[[[],[],[]]],[[]]] => 2
[[[[],[[]]]],[[]]] => 4
[[[[[]],[]]],[[]]] => 4
[[[[[],[]]]],[[]]] => 2
[[[[[[]]]]],[[]]] => 2
[[[],[],[],[],[]],[]] => 2
[[[],[],[],[[]]],[]] => 8
[[[],[],[[]],[]],[]] => 8
[[[],[],[[],[]]],[]] => 6
[[[],[],[[[]]]],[]] => 6
[[[],[[]],[],[]],[]] => 8
[[[],[[]],[[]]],[]] => 6
[[[],[[],[]],[]],[]] => 6
[[[],[[[]]],[]],[]] => 6
[[[],[[],[],[]]],[]] => 4
[[[],[[],[[]]]],[]] => 8
[[[],[[[]],[]]],[]] => 8
[[[],[[[],[]]]],[]] => 4
[[[],[[[[]]]]],[]] => 4
[[[[]],[],[],[]],[]] => 8
[[[[]],[],[[]]],[]] => 6
[[[[]],[[]],[]],[]] => 6
[[[[]],[[],[]]],[]] => 4
[[[[]],[[[]]]],[]] => 4
[[[[],[]],[],[]],[]] => 6
[[[[[]]],[],[]],[]] => 6
[[[[],[]],[[]]],[]] => 4
[[[[[]]],[[]]],[]] => 4
[[[[],[],[]],[]],[]] => 4
[[[[],[[]]],[]],[]] => 8
[[[[[]],[]],[]],[]] => 8
[[[[[],[]]],[]],[]] => 4
[[[[[[]]]],[]],[]] => 4
[[[[],[],[],[]]],[]] => 2
[[[[],[],[[]]]],[]] => 6
[[[[],[[]],[]]],[]] => 6
[[[[],[[],[]]]],[]] => 4
[[[[],[[[]]]]],[]] => 4
[[[[[]],[],[]]],[]] => 6
[[[[[]],[[]]]],[]] => 2
[[[[[],[]],[]]],[]] => 4
[[[[[[]]],[]]],[]] => 4
[[[[[],[],[]]]],[]] => 2
[[[[[],[[]]]]],[]] => 4
[[[[[[]],[]]]],[]] => 4
[[[[[[],[]]]]],[]] => 2
[[[[[[[]]]]]],[]] => 2
[[[],[],[],[],[],[]]] => 1
[[[],[],[],[],[[]]]] => 5
[[[],[],[],[[]],[]]] => 5
[[[],[],[],[[],[]]]] => 4
[[[],[],[],[[[]]]]] => 4
[[[],[],[[]],[],[]]] => 5
[[[],[],[[]],[[]]]] => 6
[[[],[],[[],[]],[]]] => 4
[[[],[],[[[]]],[]]] => 4
[[[],[],[[],[],[]]]] => 3
[[[],[],[[],[[]]]]] => 6
[[[],[],[[[]],[]]]] => 6
[[[],[],[[[],[]]]]] => 3
[[[],[],[[[[]]]]]] => 3
[[[],[[]],[],[],[]]] => 5
[[[],[[]],[],[[]]]] => 6
[[[],[[]],[[]],[]]] => 6
[[[],[[]],[[],[]]]] => 6
[[[],[[]],[[[]]]]] => 6
[[[],[[],[]],[],[]]] => 4
[[[],[[[]]],[],[]]] => 4
[[[],[[],[]],[[]]]] => 6
[[[],[[[]]],[[]]]] => 6
[[[],[[],[],[]],[]]] => 3
[[[],[[],[[]]],[]]] => 6
[[[],[[[]],[]],[]]] => 6
[[[],[[[],[]]],[]]] => 3
[[[],[[[[]]]],[]]] => 3
[[[],[[],[],[],[]]]] => 2
[[[],[[],[],[[]]]]] => 6
[[[],[[],[[]],[]]]] => 6
[[[],[[],[[],[]]]]] => 4
[[[],[[],[[[]]]]]] => 4
[[[],[[[]],[],[]]]] => 6
[[[],[[[]],[[]]]]] => 2
[[[],[[[],[]],[]]]] => 4
[[[],[[[[]]],[]]]] => 4
[[[],[[[],[],[]]]]] => 2
[[[],[[[],[[]]]]]] => 4
[[[],[[[[]],[]]]]] => 4
[[[],[[[[],[]]]]]] => 2
[[[],[[[[[]]]]]]] => 2
[[[[]],[],[],[],[]]] => 5
[[[[]],[],[],[[]]]] => 6
[[[[]],[],[[]],[]]] => 6
[[[[]],[],[[],[]]]] => 6
[[[[]],[],[[[]]]]] => 6
[[[[]],[[]],[],[]]] => 6
[[[[]],[[]],[[]]]] => 1
[[[[]],[[],[]],[]]] => 6
[[[[]],[[[]]],[]]] => 6
[[[[]],[[],[],[]]]] => 2
[[[[]],[[],[[]]]]] => 4
[[[[]],[[[]],[]]]] => 4
[[[[]],[[[],[]]]]] => 2
[[[[]],[[[[]]]]]] => 2
[[[[],[]],[],[],[]]] => 4
[[[[[]]],[],[],[]]] => 4
[[[[],[]],[],[[]]]] => 6
[[[[[]]],[],[[]]]] => 6
[[[[],[]],[[]],[]]] => 6
[[[[[]]],[[]],[]]] => 6
[[[[],[]],[[],[]]]] => 1
[[[[],[]],[[[]]]]] => 2
[[[[[]]],[[],[]]]] => 2
[[[[[]]],[[[]]]]] => 1
[[[[],[],[]],[],[]]] => 3
[[[[],[[]]],[],[]]] => 6
[[[[[]],[]],[],[]]] => 6
[[[[[],[]]],[],[]]] => 3
[[[[[[]]]],[],[]]] => 3
[[[[],[],[]],[[]]]] => 2
[[[[],[[]]],[[]]]] => 4
[[[[[]],[]],[[]]]] => 4
[[[[[],[]]],[[]]]] => 2
[[[[[[]]]],[[]]]] => 2
[[[[],[],[],[]],[]]] => 2
[[[[],[],[[]]],[]]] => 6
[[[[],[[]],[]],[]]] => 6
[[[[],[[],[]]],[]]] => 4
[[[[],[[[]]]],[]]] => 4
[[[[[]],[],[]],[]]] => 6
[[[[[]],[[]]],[]]] => 2
[[[[[],[]],[]],[]]] => 4
[[[[[[]]],[]],[]]] => 4
[[[[[],[],[]]],[]]] => 2
[[[[[],[[]]]],[]]] => 4
[[[[[[]],[]]],[]]] => 4
[[[[[[],[]]]],[]]] => 2
[[[[[[[]]]]],[]]] => 2
[[[[],[],[],[],[]]]] => 1
[[[[],[],[],[[]]]]] => 4
[[[[],[],[[]],[]]]] => 4
[[[[],[],[[],[]]]]] => 3
[[[[],[],[[[]]]]]] => 3
[[[[],[[]],[],[]]]] => 4
[[[[],[[]],[[]]]]] => 3
[[[[],[[],[]],[]]]] => 3
[[[[],[[[]]],[]]]] => 3
[[[[],[[],[],[]]]]] => 2
[[[[],[[],[[]]]]]] => 4
[[[[],[[[]],[]]]]] => 4
[[[[],[[[],[]]]]]] => 2
[[[[],[[[[]]]]]]] => 2
[[[[[]],[],[],[]]]] => 4
[[[[[]],[],[[]]]]] => 3
[[[[[]],[[]],[]]]] => 3
[[[[[]],[[],[]]]]] => 2
[[[[[]],[[[]]]]]] => 2
[[[[[],[]],[],[]]]] => 3
[[[[[[]]],[],[]]]] => 3
[[[[[],[]],[[]]]]] => 2
[[[[[[]]],[[]]]]] => 2
[[[[[],[],[]],[]]]] => 2
[[[[[],[[]]],[]]]] => 4
[[[[[[]],[]],[]]]] => 4
[[[[[[],[]]],[]]]] => 2
[[[[[[[]]]],[]]]] => 2
[[[[[],[],[],[]]]]] => 1
[[[[[],[],[[]]]]]] => 3
[[[[[],[[]],[]]]]] => 3
[[[[[],[[],[]]]]]] => 2
[[[[[],[[[]]]]]]] => 2
[[[[[[]],[],[]]]]] => 3
[[[[[[]],[[]]]]]] => 1
[[[[[[],[]],[]]]]] => 2
[[[[[[[]]],[]]]]] => 2
[[[[[[],[],[]]]]]] => 1
[[[[[[],[[]]]]]]] => 2
[[[[[[[]],[]]]]]] => 2
[[[[[[[],[]]]]]]] => 1
[[[[[[[[]]]]]]]] => 1
[[],[],[],[],[],[],[],[]] => 1
[[],[],[],[],[],[],[[]]] => 7
[[],[],[],[],[],[[]],[]] => 7
[[],[],[],[],[],[[],[]]] => 6
[[],[],[],[],[],[[[]]]] => 6
[[],[],[],[],[[]],[],[]] => 7
[[],[],[],[],[[]],[[]]] => 15
[[],[],[],[],[[],[]],[]] => 6
[[],[],[],[],[[[]]],[]] => 6
[[],[],[],[],[[],[],[]]] => 5
[[],[],[],[],[[],[[]]]] => 10
[[],[],[],[],[[[]],[]]] => 10
[[],[],[],[],[[[],[]]]] => 5
[[],[],[],[],[[[[]]]]] => 5
[[],[],[],[[]],[],[],[]] => 7
[[],[],[],[[]],[],[[]]] => 15
[[],[],[],[[]],[[]],[]] => 15
[[],[],[],[[]],[[],[]]] => 20
[[],[],[],[[]],[[[]]]] => 20
[[],[],[],[[],[]],[],[]] => 6
[[],[],[],[[[]]],[],[]] => 6
[[],[],[],[[],[]],[[]]] => 20
[[],[],[],[[[]]],[[]]] => 20
[[],[],[],[[],[],[]],[]] => 5
[[],[],[],[[],[[]]],[]] => 10
[[],[],[],[[[]],[]],[]] => 10
[[],[],[],[[[],[]]],[]] => 5
[[],[],[],[[[[]]]],[]] => 5
[[],[],[],[[],[],[],[]]] => 4
[[],[],[],[[],[],[[]]]] => 12
[[],[],[],[[],[[]],[]]] => 12
[[],[],[],[[],[[],[]]]] => 8
[[],[],[],[[],[[[]]]]] => 8
[[],[],[],[[[]],[],[]]] => 12
[[],[],[],[[[]],[[]]]] => 4
[[],[],[],[[[],[]],[]]] => 8
[[],[],[],[[[[]]],[]]] => 8
[[],[],[],[[[],[],[]]]] => 4
[[],[],[],[[[],[[]]]]] => 8
[[],[],[],[[[[]],[]]]] => 8
[[],[],[],[[[[],[]]]]] => 4
[[],[],[],[[[[[]]]]]] => 4
[[],[],[[]],[],[],[],[]] => 7
[[],[],[[]],[],[],[[]]] => 15
[[],[],[[]],[],[[]],[]] => 15
[[],[],[[]],[],[[],[]]] => 20
[[],[],[[]],[],[[[]]]] => 20
[[],[],[[]],[[]],[],[]] => 15
[[],[],[[]],[[]],[[]]] => 10
[[],[],[[]],[[],[]],[]] => 20
[[],[],[[]],[[[]]],[]] => 20
[[],[],[[]],[[],[],[]]] => 12
[[],[],[[]],[[],[[]]]] => 24
[[],[],[[]],[[[]],[]]] => 24
[[],[],[[]],[[[],[]]]] => 12
[[],[],[[]],[[[[]]]]] => 12
[[],[],[[],[]],[],[],[]] => 6
[[],[],[[[]]],[],[],[]] => 6
[[],[],[[],[]],[],[[]]] => 20
[[],[],[[[]]],[],[[]]] => 20
[[],[],[[],[]],[[]],[]] => 20
[[],[],[[[]]],[[]],[]] => 20
[[],[],[[],[]],[[],[]]] => 6
[[],[],[[],[]],[[[]]]] => 12
[[],[],[[[]]],[[],[]]] => 12
[[],[],[[[]]],[[[]]]] => 6
[[],[],[[],[],[]],[],[]] => 5
[[],[],[[],[[]]],[],[]] => 10
[[],[],[[[]],[]],[],[]] => 10
[[],[],[[[],[]]],[],[]] => 5
[[],[],[[[[]]]],[],[]] => 5
[[],[],[[],[],[]],[[]]] => 12
[[],[],[[],[[]]],[[]]] => 24
[[],[],[[[]],[]],[[]]] => 24
[[],[],[[[],[]]],[[]]] => 12
[[],[],[[[[]]]],[[]]] => 12
[[],[],[[],[],[],[]],[]] => 4
[[],[],[[],[],[[]]],[]] => 12
[[],[],[[],[[]],[]],[]] => 12
[[],[],[[],[[],[]]],[]] => 8
[[],[],[[],[[[]]]],[]] => 8
[[],[],[[[]],[],[]],[]] => 12
[[],[],[[[]],[[]]],[]] => 4
[[],[],[[[],[]],[]],[]] => 8
[[],[],[[[[]]],[]],[]] => 8
[[],[],[[[],[],[]]],[]] => 4
[[],[],[[[],[[]]]],[]] => 8
[[],[],[[[[]],[]]],[]] => 8
[[],[],[[[[],[]]]],[]] => 4
[[],[],[[[[[]]]]],[]] => 4
[[],[],[[],[],[],[],[]]] => 3
[[],[],[[],[],[],[[]]]] => 12
[[],[],[[],[],[[]],[]]] => 12
[[],[],[[],[],[[],[]]]] => 9
[[],[],[[],[],[[[]]]]] => 9
[[],[],[[],[[]],[],[]]] => 12
[[],[],[[],[[]],[[]]]] => 9
[[],[],[[],[[],[]],[]]] => 9
[[],[],[[],[[[]]],[]]] => 9
[[],[],[[],[[],[],[]]]] => 6
[[],[],[[],[[],[[]]]]] => 12
[[],[],[[],[[[]],[]]]] => 12
[[],[],[[],[[[],[]]]]] => 6
[[],[],[[],[[[[]]]]]] => 6
[[],[],[[[]],[],[],[]]] => 12
[[],[],[[[]],[],[[]]]] => 9
[[],[],[[[]],[[]],[]]] => 9
[[],[],[[[]],[[],[]]]] => 6
[[],[],[[[]],[[[]]]]] => 6
[[],[],[[[],[]],[],[]]] => 9
[[],[],[[[[]]],[],[]]] => 9
[[],[],[[[],[]],[[]]]] => 6
[[],[],[[[[]]],[[]]]] => 6
[[],[],[[[],[],[]],[]]] => 6
[[],[],[[[],[[]]],[]]] => 12
[[],[],[[[[]],[]],[]]] => 12
[[],[],[[[[],[]]],[]]] => 6
[[],[],[[[[[]]]],[]]] => 6
[[],[],[[[],[],[],[]]]] => 3
[[],[],[[[],[],[[]]]]] => 9
[[],[],[[[],[[]],[]]]] => 9
[[],[],[[[],[[],[]]]]] => 6
[[],[],[[[],[[[]]]]]] => 6
[[],[],[[[[]],[],[]]]] => 9
[[],[],[[[[]],[[]]]]] => 3
[[],[],[[[[],[]],[]]]] => 6
[[],[],[[[[[]]],[]]]] => 6
[[],[],[[[[],[],[]]]]] => 3
[[],[],[[[[],[[]]]]]] => 6
[[],[],[[[[[]],[]]]]] => 6
[[],[],[[[[[],[]]]]]] => 3
[[],[],[[[[[[]]]]]]] => 3
[[],[[]],[],[],[],[],[]] => 7
[[],[[]],[],[],[],[[]]] => 15
[[],[[]],[],[],[[]],[]] => 15
[[],[[]],[],[],[[],[]]] => 20
[[],[[]],[],[],[[[]]]] => 20
[[],[[]],[],[[]],[],[]] => 15
[[],[[]],[],[[]],[[]]] => 10
[[],[[]],[],[[],[]],[]] => 20
[[],[[]],[],[[[]]],[]] => 20
[[],[[]],[],[[],[],[]]] => 12
[[],[[]],[],[[],[[]]]] => 24
[[],[[]],[],[[[]],[]]] => 24
[[],[[]],[],[[[],[]]]] => 12
[[],[[]],[],[[[[]]]]] => 12
[[],[[]],[[]],[],[],[]] => 15
[[],[[]],[[]],[],[[]]] => 10
[[],[[]],[[]],[[]],[]] => 10
[[],[[]],[[]],[[],[]]] => 12
[[],[[]],[[]],[[[]]]] => 12
[[],[[]],[[],[]],[],[]] => 20
[[],[[]],[[[]]],[],[]] => 20
[[],[[]],[[],[]],[[]]] => 12
[[],[[]],[[[]]],[[]]] => 12
[[],[[]],[[],[],[]],[]] => 12
[[],[[]],[[],[[]]],[]] => 24
[[],[[]],[[[]],[]],[]] => 24
[[],[[]],[[[],[]]],[]] => 12
[[],[[]],[[[[]]]],[]] => 12
[[],[[]],[[],[],[],[]]] => 6
[[],[[]],[[],[],[[]]]] => 18
[[],[[]],[[],[[]],[]]] => 18
[[],[[]],[[],[[],[]]]] => 12
[[],[[]],[[],[[[]]]]] => 12
[[],[[]],[[[]],[],[]]] => 18
[[],[[]],[[[]],[[]]]] => 6
[[],[[]],[[[],[]],[]]] => 12
[[],[[]],[[[[]]],[]]] => 12
[[],[[]],[[[],[],[]]]] => 6
[[],[[]],[[[],[[]]]]] => 12
[[],[[]],[[[[]],[]]]] => 12
[[],[[]],[[[[],[]]]]] => 6
[[],[[]],[[[[[]]]]]] => 6
[[],[[],[]],[],[],[],[]] => 6
[[],[[[]]],[],[],[],[]] => 6
[[],[[],[]],[],[],[[]]] => 20
[[],[[[]]],[],[],[[]]] => 20
[[],[[],[]],[],[[]],[]] => 20
[[],[[[]]],[],[[]],[]] => 20
[[],[[],[]],[],[[],[]]] => 6
[[],[[],[]],[],[[[]]]] => 12
[[],[[[]]],[],[[],[]]] => 12
[[],[[[]]],[],[[[]]]] => 6
[[],[[],[]],[[]],[],[]] => 20
[[],[[[]]],[[]],[],[]] => 20
[[],[[],[]],[[]],[[]]] => 12
[[],[[[]]],[[]],[[]]] => 12
[[],[[],[]],[[],[]],[]] => 6
[[],[[],[]],[[[]]],[]] => 12
[[],[[[]]],[[],[]],[]] => 12
[[],[[[]]],[[[]]],[]] => 6
[[],[[],[]],[[],[],[]]] => 6
[[],[[],[]],[[],[[]]]] => 12
[[],[[],[]],[[[]],[]]] => 12
[[],[[],[]],[[[],[]]]] => 6
[[],[[],[]],[[[[]]]]] => 6
[[],[[[]]],[[],[],[]]] => 6
[[],[[[]]],[[],[[]]]] => 12
[[],[[[]]],[[[]],[]]] => 12
[[],[[[]]],[[[],[]]]] => 6
[[],[[[]]],[[[[]]]]] => 6
[[],[[],[],[]],[],[],[]] => 5
[[],[[],[[]]],[],[],[]] => 10
[[],[[[]],[]],[],[],[]] => 10
[[],[[[],[]]],[],[],[]] => 5
[[],[[[[]]]],[],[],[]] => 5
[[],[[],[],[]],[],[[]]] => 12
[[],[[],[[]]],[],[[]]] => 24
[[],[[[]],[]],[],[[]]] => 24
[[],[[[],[]]],[],[[]]] => 12
[[],[[[[]]]],[],[[]]] => 12
[[],[[],[],[]],[[]],[]] => 12
[[],[[],[[]]],[[]],[]] => 24
[[],[[[]],[]],[[]],[]] => 24
[[],[[[],[]]],[[]],[]] => 12
[[],[[[[]]]],[[]],[]] => 12
[[],[[],[],[]],[[],[]]] => 6
[[],[[],[],[]],[[[]]]] => 6
[[],[[],[[]]],[[],[]]] => 12
[[],[[],[[]]],[[[]]]] => 12
[[],[[[]],[]],[[],[]]] => 12
[[],[[[]],[]],[[[]]]] => 12
[[],[[[],[]]],[[],[]]] => 6
[[],[[[],[]]],[[[]]]] => 6
[[],[[[[]]]],[[],[]]] => 6
[[],[[[[]]]],[[[]]]] => 6
[[],[[],[],[],[]],[],[]] => 4
[[],[[],[],[[]]],[],[]] => 12
[[],[[],[[]],[]],[],[]] => 12
[[],[[],[[],[]]],[],[]] => 8
[[],[[],[[[]]]],[],[]] => 8
[[],[[[]],[],[]],[],[]] => 12
[[],[[[]],[[]]],[],[]] => 4
[[],[[[],[]],[]],[],[]] => 8
[[],[[[[]]],[]],[],[]] => 8
[[],[[[],[],[]]],[],[]] => 4
[[],[[[],[[]]]],[],[]] => 8
[[],[[[[]],[]]],[],[]] => 8
[[],[[[[],[]]]],[],[]] => 4
[[],[[[[[]]]]],[],[]] => 4
[[],[[],[],[],[]],[[]]] => 6
[[],[[],[],[[]]],[[]]] => 18
[[],[[],[[]],[]],[[]]] => 18
[[],[[],[[],[]]],[[]]] => 12
[[],[[],[[[]]]],[[]]] => 12
[[],[[[]],[],[]],[[]]] => 18
[[],[[[]],[[]]],[[]]] => 6
[[],[[[],[]],[]],[[]]] => 12
[[],[[[[]]],[]],[[]]] => 12
[[],[[[],[],[]]],[[]]] => 6
[[],[[[],[[]]]],[[]]] => 12
[[],[[[[]],[]]],[[]]] => 12
[[],[[[[],[]]]],[[]]] => 6
[[],[[[[[]]]]],[[]]] => 6
[[],[[],[],[],[],[]],[]] => 3
[[],[[],[],[],[[]]],[]] => 12
[[],[[],[],[[]],[]],[]] => 12
[[],[[],[],[[],[]]],[]] => 9
[[],[[],[],[[[]]]],[]] => 9
[[],[[],[[]],[],[]],[]] => 12
[[],[[],[[]],[[]]],[]] => 9
[[],[[],[[],[]],[]],[]] => 9
[[],[[],[[[]]],[]],[]] => 9
[[],[[],[[],[],[]]],[]] => 6
[[],[[],[[],[[]]]],[]] => 12
[[],[[],[[[]],[]]],[]] => 12
[[],[[],[[[],[]]]],[]] => 6
[[],[[],[[[[]]]]],[]] => 6
[[],[[[]],[],[],[]],[]] => 12
[[],[[[]],[],[[]]],[]] => 9
[[],[[[]],[[]],[]],[]] => 9
[[],[[[]],[[],[]]],[]] => 6
[[],[[[]],[[[]]]],[]] => 6
[[],[[[],[]],[],[]],[]] => 9
[[],[[[[]]],[],[]],[]] => 9
[[],[[[],[]],[[]]],[]] => 6
[[],[[[[]]],[[]]],[]] => 6
[[],[[[],[],[]],[]],[]] => 6
[[],[[[],[[]]],[]],[]] => 12
[[],[[[[]],[]],[]],[]] => 12
[[],[[[[],[]]],[]],[]] => 6
[[],[[[[[]]]],[]],[]] => 6
[[],[[[],[],[],[]]],[]] => 3
[[],[[[],[],[[]]]],[]] => 9
[[],[[[],[[]],[]]],[]] => 9
[[],[[[],[[],[]]]],[]] => 6
[[],[[[],[[[]]]]],[]] => 6
[[],[[[[]],[],[]]],[]] => 9
[[],[[[[]],[[]]]],[]] => 3
[[],[[[[],[]],[]]],[]] => 6
[[],[[[[[]]],[]]],[]] => 6
[[],[[[[],[],[]]]],[]] => 3
[[],[[[[],[[]]]]],[]] => 6
[[],[[[[[]],[]]]],[]] => 6
[[],[[[[[],[]]]]],[]] => 3
[[],[[[[[[]]]]]],[]] => 3
[[],[[],[],[],[],[],[]]] => 2
[[],[[],[],[],[],[[]]]] => 10
[[],[[],[],[],[[]],[]]] => 10
[[],[[],[],[],[[],[]]]] => 8
[[],[[],[],[],[[[]]]]] => 8
[[],[[],[],[[]],[],[]]] => 10
[[],[[],[],[[]],[[]]]] => 12
[[],[[],[],[[],[]],[]]] => 8
[[],[[],[],[[[]]],[]]] => 8
[[],[[],[],[[],[],[]]]] => 6
[[],[[],[],[[],[[]]]]] => 12
[[],[[],[],[[[]],[]]]] => 12
[[],[[],[],[[[],[]]]]] => 6
[[],[[],[],[[[[]]]]]] => 6
[[],[[],[[]],[],[],[]]] => 10
[[],[[],[[]],[],[[]]]] => 12
[[],[[],[[]],[[]],[]]] => 12
[[],[[],[[]],[[],[]]]] => 12
[[],[[],[[]],[[[]]]]] => 12
[[],[[],[[],[]],[],[]]] => 8
[[],[[],[[[]]],[],[]]] => 8
[[],[[],[[],[]],[[]]]] => 12
[[],[[],[[[]]],[[]]]] => 12
[[],[[],[[],[],[]],[]]] => 6
[[],[[],[[],[[]]],[]]] => 12
[[],[[],[[[]],[]],[]]] => 12
[[],[[],[[[],[]]],[]]] => 6
[[],[[],[[[[]]]],[]]] => 6
[[],[[],[[],[],[],[]]]] => 4
[[],[[],[[],[],[[]]]]] => 12
[[],[[],[[],[[]],[]]]] => 12
[[],[[],[[],[[],[]]]]] => 8
[[],[[],[[],[[[]]]]]] => 8
[[],[[],[[[]],[],[]]]] => 12
[[],[[],[[[]],[[]]]]] => 4
[[],[[],[[[],[]],[]]]] => 8
[[],[[],[[[[]]],[]]]] => 8
[[],[[],[[[],[],[]]]]] => 4
[[],[[],[[[],[[]]]]]] => 8
[[],[[],[[[[]],[]]]]] => 8
[[],[[],[[[[],[]]]]]] => 4
[[],[[],[[[[[]]]]]]] => 4
[[],[[[]],[],[],[],[]]] => 10
[[],[[[]],[],[],[[]]]] => 12
[[],[[[]],[],[[]],[]]] => 12
[[],[[[]],[],[[],[]]]] => 12
[[],[[[]],[],[[[]]]]] => 12
[[],[[[]],[[]],[],[]]] => 12
[[],[[[]],[[]],[[]]]] => 2
[[],[[[]],[[],[]],[]]] => 12
[[],[[[]],[[[]]],[]]] => 12
[[],[[[]],[[],[],[]]]] => 4
[[],[[[]],[[],[[]]]]] => 8
[[],[[[]],[[[]],[]]]] => 8
[[],[[[]],[[[],[]]]]] => 4
[[],[[[]],[[[[]]]]]] => 4
[[],[[[],[]],[],[],[]]] => 8
[[],[[[[]]],[],[],[]]] => 8
[[],[[[],[]],[],[[]]]] => 12
[[],[[[[]]],[],[[]]]] => 12
[[],[[[],[]],[[]],[]]] => 12
[[],[[[[]]],[[]],[]]] => 12
[[],[[[],[]],[[],[]]]] => 2
[[],[[[],[]],[[[]]]]] => 4
[[],[[[[]]],[[],[]]]] => 4
[[],[[[[]]],[[[]]]]] => 2
[[],[[[],[],[]],[],[]]] => 6
[[],[[[],[[]]],[],[]]] => 12
[[],[[[[]],[]],[],[]]] => 12
[[],[[[[],[]]],[],[]]] => 6
[[],[[[[[]]]],[],[]]] => 6
[[],[[[],[],[]],[[]]]] => 4
[[],[[[],[[]]],[[]]]] => 8
[[],[[[[]],[]],[[]]]] => 8
[[],[[[[],[]]],[[]]]] => 4
[[],[[[[[]]]],[[]]]] => 4
[[],[[[],[],[],[]],[]]] => 4
[[],[[[],[],[[]]],[]]] => 12
[[],[[[],[[]],[]],[]]] => 12
[[],[[[],[[],[]]],[]]] => 8
[[],[[[],[[[]]]],[]]] => 8
[[],[[[[]],[],[]],[]]] => 12
[[],[[[[]],[[]]],[]]] => 4
[[],[[[[],[]],[]],[]]] => 8
[[],[[[[[]]],[]],[]]] => 8
[[],[[[[],[],[]]],[]]] => 4
[[],[[[[],[[]]]],[]]] => 8
[[],[[[[[]],[]]],[]]] => 8
[[],[[[[[],[]]]],[]]] => 4
[[],[[[[[[]]]]],[]]] => 4
[[],[[[],[],[],[],[]]]] => 2
[[],[[[],[],[],[[]]]]] => 8
[[],[[[],[],[[]],[]]]] => 8
[[],[[[],[],[[],[]]]]] => 6
[[],[[[],[],[[[]]]]]] => 6
[[],[[[],[[]],[],[]]]] => 8
[[],[[[],[[]],[[]]]]] => 6
[[],[[[],[[],[]],[]]]] => 6
[[],[[[],[[[]]],[]]]] => 6
[[],[[[],[[],[],[]]]]] => 4
[[],[[[],[[],[[]]]]]] => 8
[[],[[[],[[[]],[]]]]] => 8
[[],[[[],[[[],[]]]]]] => 4
[[],[[[],[[[[]]]]]]] => 4
[[],[[[[]],[],[],[]]]] => 8
[[],[[[[]],[],[[]]]]] => 6
[[],[[[[]],[[]],[]]]] => 6
[[],[[[[]],[[],[]]]]] => 4
[[],[[[[]],[[[]]]]]] => 4
[[],[[[[],[]],[],[]]]] => 6
[[],[[[[[]]],[],[]]]] => 6
[[],[[[[],[]],[[]]]]] => 4
[[],[[[[[]]],[[]]]]] => 4
[[],[[[[],[],[]],[]]]] => 4
[[],[[[[],[[]]],[]]]] => 8
[[],[[[[[]],[]],[]]]] => 8
[[],[[[[[],[]]],[]]]] => 4
[[],[[[[[[]]]],[]]]] => 4
[[],[[[[],[],[],[]]]]] => 2
[[],[[[[],[],[[]]]]]] => 6
[[],[[[[],[[]],[]]]]] => 6
[[],[[[[],[[],[]]]]]] => 4
[[],[[[[],[[[]]]]]]] => 4
[[],[[[[[]],[],[]]]]] => 6
[[],[[[[[]],[[]]]]]] => 2
[[],[[[[[],[]],[]]]]] => 4
[[],[[[[[[]]],[]]]]] => 4
[[],[[[[[],[],[]]]]]] => 2
[[],[[[[[],[[]]]]]]] => 4
[[],[[[[[[]],[]]]]]] => 4
[[],[[[[[[],[]]]]]]] => 2
[[],[[[[[[[]]]]]]]] => 2
[[[]],[],[],[],[],[],[]] => 7
[[[]],[],[],[],[],[[]]] => 15
[[[]],[],[],[],[[]],[]] => 15
[[[]],[],[],[],[[],[]]] => 20
[[[]],[],[],[],[[[]]]] => 20
[[[]],[],[],[[]],[],[]] => 15
[[[]],[],[],[[]],[[]]] => 10
[[[]],[],[],[[],[]],[]] => 20
[[[]],[],[],[[[]]],[]] => 20
[[[]],[],[],[[],[],[]]] => 12
[[[]],[],[],[[],[[]]]] => 24
[[[]],[],[],[[[]],[]]] => 24
[[[]],[],[],[[[],[]]]] => 12
[[[]],[],[],[[[[]]]]] => 12
[[[]],[],[[]],[],[],[]] => 15
[[[]],[],[[]],[],[[]]] => 10
[[[]],[],[[]],[[]],[]] => 10
[[[]],[],[[]],[[],[]]] => 12
[[[]],[],[[]],[[[]]]] => 12
[[[]],[],[[],[]],[],[]] => 20
[[[]],[],[[[]]],[],[]] => 20
[[[]],[],[[],[]],[[]]] => 12
[[[]],[],[[[]]],[[]]] => 12
[[[]],[],[[],[],[]],[]] => 12
[[[]],[],[[],[[]]],[]] => 24
[[[]],[],[[[]],[]],[]] => 24
[[[]],[],[[[],[]]],[]] => 12
[[[]],[],[[[[]]]],[]] => 12
[[[]],[],[[],[],[],[]]] => 6
[[[]],[],[[],[],[[]]]] => 18
[[[]],[],[[],[[]],[]]] => 18
[[[]],[],[[],[[],[]]]] => 12
[[[]],[],[[],[[[]]]]] => 12
[[[]],[],[[[]],[],[]]] => 18
[[[]],[],[[[]],[[]]]] => 6
[[[]],[],[[[],[]],[]]] => 12
[[[]],[],[[[[]]],[]]] => 12
[[[]],[],[[[],[],[]]]] => 6
[[[]],[],[[[],[[]]]]] => 12
[[[]],[],[[[[]],[]]]] => 12
[[[]],[],[[[[],[]]]]] => 6
[[[]],[],[[[[[]]]]]] => 6
[[[]],[[]],[],[],[],[]] => 15
[[[]],[[]],[],[],[[]]] => 10
[[[]],[[]],[],[[]],[]] => 10
[[[]],[[]],[],[[],[]]] => 12
[[[]],[[]],[],[[[]]]] => 12
[[[]],[[]],[[]],[],[]] => 10
[[[]],[[]],[[]],[[]]] => 1
[[[]],[[]],[[],[]],[]] => 12
[[[]],[[]],[[[]]],[]] => 12
[[[]],[[]],[[],[],[]]] => 3
[[[]],[[]],[[],[[]]]] => 6
[[[]],[[]],[[[]],[]]] => 6
[[[]],[[]],[[[],[]]]] => 3
[[[]],[[]],[[[[]]]]] => 3
[[[]],[[],[]],[],[],[]] => 20
[[[]],[[[]]],[],[],[]] => 20
[[[]],[[],[]],[],[[]]] => 12
[[[]],[[[]]],[],[[]]] => 12
[[[]],[[],[]],[[]],[]] => 12
[[[]],[[[]]],[[]],[]] => 12
[[[]],[[],[]],[[],[]]] => 3
[[[]],[[],[]],[[[]]]] => 6
[[[]],[[[]]],[[],[]]] => 6
[[[]],[[[]]],[[[]]]] => 3
[[[]],[[],[],[]],[],[]] => 12
[[[]],[[],[[]]],[],[]] => 24
[[[]],[[[]],[]],[],[]] => 24
[[[]],[[[],[]]],[],[]] => 12
[[[]],[[[[]]]],[],[]] => 12
[[[]],[[],[],[]],[[]]] => 3
[[[]],[[],[[]]],[[]]] => 6
[[[]],[[[]],[]],[[]]] => 6
[[[]],[[[],[]]],[[]]] => 3
[[[]],[[[[]]]],[[]]] => 3
[[[]],[[],[],[],[]],[]] => 6
[[[]],[[],[],[[]]],[]] => 18
[[[]],[[],[[]],[]],[]] => 18
[[[]],[[],[[],[]]],[]] => 12
[[[]],[[],[[[]]]],[]] => 12
[[[]],[[[]],[],[]],[]] => 18
[[[]],[[[]],[[]]],[]] => 6
[[[]],[[[],[]],[]],[]] => 12
[[[]],[[[[]]],[]],[]] => 12
[[[]],[[[],[],[]]],[]] => 6
[[[]],[[[],[[]]]],[]] => 12
[[[]],[[[[]],[]]],[]] => 12
[[[]],[[[[],[]]]],[]] => 6
[[[]],[[[[[]]]]],[]] => 6
[[[]],[[],[],[],[],[]]] => 2
[[[]],[[],[],[],[[]]]] => 8
[[[]],[[],[],[[]],[]]] => 8
[[[]],[[],[],[[],[]]]] => 6
[[[]],[[],[],[[[]]]]] => 6
[[[]],[[],[[]],[],[]]] => 8
[[[]],[[],[[]],[[]]]] => 6
[[[]],[[],[[],[]],[]]] => 6
[[[]],[[],[[[]]],[]]] => 6
[[[]],[[],[[],[],[]]]] => 4
[[[]],[[],[[],[[]]]]] => 8
[[[]],[[],[[[]],[]]]] => 8
[[[]],[[],[[[],[]]]]] => 4
[[[]],[[],[[[[]]]]]] => 4
[[[]],[[[]],[],[],[]]] => 8
[[[]],[[[]],[],[[]]]] => 6
[[[]],[[[]],[[]],[]]] => 6
[[[]],[[[]],[[],[]]]] => 4
[[[]],[[[]],[[[]]]]] => 4
[[[]],[[[],[]],[],[]]] => 6
[[[]],[[[[]]],[],[]]] => 6
[[[]],[[[],[]],[[]]]] => 4
[[[]],[[[[]]],[[]]]] => 4
[[[]],[[[],[],[]],[]]] => 4
[[[]],[[[],[[]]],[]]] => 8
[[[]],[[[[]],[]],[]]] => 8
[[[]],[[[[],[]]],[]]] => 4
[[[]],[[[[[]]]],[]]] => 4
[[[]],[[[],[],[],[]]]] => 2
[[[]],[[[],[],[[]]]]] => 6
[[[]],[[[],[[]],[]]]] => 6
[[[]],[[[],[[],[]]]]] => 4
[[[]],[[[],[[[]]]]]] => 4
[[[]],[[[[]],[],[]]]] => 6
[[[]],[[[[]],[[]]]]] => 2
[[[]],[[[[],[]],[]]]] => 4
[[[]],[[[[[]]],[]]]] => 4
[[[]],[[[[],[],[]]]]] => 2
[[[]],[[[[],[[]]]]]] => 4
[[[]],[[[[[]],[]]]]] => 4
[[[]],[[[[[],[]]]]]] => 2
[[[]],[[[[[[]]]]]]] => 2
[[[],[]],[],[],[],[],[]] => 6
[[[[]]],[],[],[],[],[]] => 6
[[[],[]],[],[],[],[[]]] => 20
[[[[]]],[],[],[],[[]]] => 20
[[[],[]],[],[],[[]],[]] => 20
[[[[]]],[],[],[[]],[]] => 20
[[[],[]],[],[],[[],[]]] => 6
[[[],[]],[],[],[[[]]]] => 12
[[[[]]],[],[],[[],[]]] => 12
[[[[]]],[],[],[[[]]]] => 6
[[[],[]],[],[[]],[],[]] => 20
[[[[]]],[],[[]],[],[]] => 20
[[[],[]],[],[[]],[[]]] => 12
[[[[]]],[],[[]],[[]]] => 12
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Created: Feb 25, 2016 at 10:56 by Martin Rubey
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Last Updated: Feb 25, 2016 at 10:56 by Martin Rubey