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* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
*****************************************************************************
-----------------------------------------------------------------------------
Statistic identifier: St000417
-----------------------------------------------------------------------------
Collection: Ordered trees
-----------------------------------------------------------------------------
Description: The size of the automorphism group of the ordered tree.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(T):
children = [S for S in T]
multiplicities = [(S, children.count(S)) for S in set(children)]
return prod(statistic(S)^m*factorial(m) for (S, m) in multiplicities)
-----------------------------------------------------------------------------
Statistic values:
[[]] => 1
[[],[]] => 2
[[[]]] => 1
[[],[],[]] => 6
[[],[[]]] => 1
[[[]],[]] => 1
[[[],[]]] => 2
[[[[]]]] => 1
[[],[],[],[]] => 24
[[],[],[[]]] => 2
[[],[[]],[]] => 2
[[],[[],[]]] => 2
[[],[[[]]]] => 1
[[[]],[],[]] => 2
[[[]],[[]]] => 2
[[[],[]],[]] => 2
[[[[]]],[]] => 1
[[[],[],[]]] => 6
[[[],[[]]]] => 1
[[[[]],[]]] => 1
[[[[],[]]]] => 2
[[[[[]]]]] => 1
[[],[],[],[],[]] => 120
[[],[],[],[[]]] => 6
[[],[],[[]],[]] => 6
[[],[],[[],[]]] => 4
[[],[],[[[]]]] => 2
[[],[[]],[],[]] => 6
[[],[[]],[[]]] => 2
[[],[[],[]],[]] => 4
[[],[[[]]],[]] => 2
[[],[[],[],[]]] => 6
[[],[[],[[]]]] => 1
[[],[[[]],[]]] => 1
[[],[[[],[]]]] => 2
[[],[[[[]]]]] => 1
[[[]],[],[],[]] => 6
[[[]],[],[[]]] => 2
[[[]],[[]],[]] => 2
[[[]],[[],[]]] => 2
[[[]],[[[]]]] => 1
[[[],[]],[],[]] => 4
[[[[]]],[],[]] => 2
[[[],[]],[[]]] => 2
[[[[]]],[[]]] => 1
[[[],[],[]],[]] => 6
[[[],[[]]],[]] => 1
[[[[]],[]],[]] => 1
[[[[],[]]],[]] => 2
[[[[[]]]],[]] => 1
[[[],[],[],[]]] => 24
[[[],[],[[]]]] => 2
[[[],[[]],[]]] => 2
[[[],[[],[]]]] => 2
[[[],[[[]]]]] => 1
[[[[]],[],[]]] => 2
[[[[]],[[]]]] => 2
[[[[],[]],[]]] => 2
[[[[[]]],[]]] => 1
[[[[],[],[]]]] => 6
[[[[],[[]]]]] => 1
[[[[[]],[]]]] => 1
[[[[[],[]]]]] => 2
[[[[[[]]]]]] => 1
[[],[],[],[],[],[]] => 720
[[],[],[],[],[[]]] => 24
[[],[],[],[[]],[]] => 24
[[],[],[],[[],[]]] => 12
[[],[],[],[[[]]]] => 6
[[],[],[[]],[],[]] => 24
[[],[],[[]],[[]]] => 4
[[],[],[[],[]],[]] => 12
[[],[],[[[]]],[]] => 6
[[],[],[[],[],[]]] => 12
[[],[],[[],[[]]]] => 2
[[],[],[[[]],[]]] => 2
[[],[],[[[],[]]]] => 4
[[],[],[[[[]]]]] => 2
[[],[[]],[],[],[]] => 24
[[],[[]],[],[[]]] => 4
[[],[[]],[[]],[]] => 4
[[],[[]],[[],[]]] => 2
[[],[[]],[[[]]]] => 1
[[],[[],[]],[],[]] => 12
[[],[[[]]],[],[]] => 6
[[],[[],[]],[[]]] => 2
[[],[[[]]],[[]]] => 1
[[],[[],[],[]],[]] => 12
[[],[[],[[]]],[]] => 2
[[],[[[]],[]],[]] => 2
[[],[[[],[]]],[]] => 4
[[],[[[[]]]],[]] => 2
[[],[[],[],[],[]]] => 24
[[],[[],[],[[]]]] => 2
[[],[[],[[]],[]]] => 2
[[],[[],[[],[]]]] => 2
[[],[[],[[[]]]]] => 1
[[],[[[]],[],[]]] => 2
[[],[[[]],[[]]]] => 2
[[],[[[],[]],[]]] => 2
[[],[[[[]]],[]]] => 1
[[],[[[],[],[]]]] => 6
[[],[[[],[[]]]]] => 1
[[],[[[[]],[]]]] => 1
[[],[[[[],[]]]]] => 2
[[],[[[[[]]]]]] => 1
[[[]],[],[],[],[]] => 24
[[[]],[],[],[[]]] => 4
[[[]],[],[[]],[]] => 4
[[[]],[],[[],[]]] => 2
[[[]],[],[[[]]]] => 1
[[[]],[[]],[],[]] => 4
[[[]],[[]],[[]]] => 6
[[[]],[[],[]],[]] => 2
[[[]],[[[]]],[]] => 1
[[[]],[[],[],[]]] => 6
[[[]],[[],[[]]]] => 1
[[[]],[[[]],[]]] => 1
[[[]],[[[],[]]]] => 2
[[[]],[[[[]]]]] => 1
[[[],[]],[],[],[]] => 12
[[[[]]],[],[],[]] => 6
[[[],[]],[],[[]]] => 2
[[[[]]],[],[[]]] => 1
[[[],[]],[[]],[]] => 2
[[[[]]],[[]],[]] => 1
[[[],[]],[[],[]]] => 8
[[[],[]],[[[]]]] => 2
[[[[]]],[[],[]]] => 2
[[[[]]],[[[]]]] => 2
[[[],[],[]],[],[]] => 12
[[[],[[]]],[],[]] => 2
[[[[]],[]],[],[]] => 2
[[[[],[]]],[],[]] => 4
[[[[[]]]],[],[]] => 2
[[[],[],[]],[[]]] => 6
[[[],[[]]],[[]]] => 1
[[[[]],[]],[[]]] => 1
[[[[],[]]],[[]]] => 2
[[[[[]]]],[[]]] => 1
[[[],[],[],[]],[]] => 24
[[[],[],[[]]],[]] => 2
[[[],[[]],[]],[]] => 2
[[[],[[],[]]],[]] => 2
[[[],[[[]]]],[]] => 1
[[[[]],[],[]],[]] => 2
[[[[]],[[]]],[]] => 2
[[[[],[]],[]],[]] => 2
[[[[[]]],[]],[]] => 1
[[[[],[],[]]],[]] => 6
[[[[],[[]]]],[]] => 1
[[[[[]],[]]],[]] => 1
[[[[[],[]]]],[]] => 2
[[[[[[]]]]],[]] => 1
[[[],[],[],[],[]]] => 120
[[[],[],[],[[]]]] => 6
[[[],[],[[]],[]]] => 6
[[[],[],[[],[]]]] => 4
[[[],[],[[[]]]]] => 2
[[[],[[]],[],[]]] => 6
[[[],[[]],[[]]]] => 2
[[[],[[],[]],[]]] => 4
[[[],[[[]]],[]]] => 2
[[[],[[],[],[]]]] => 6
[[[],[[],[[]]]]] => 1
[[[],[[[]],[]]]] => 1
[[[],[[[],[]]]]] => 2
[[[],[[[[]]]]]] => 1
[[[[]],[],[],[]]] => 6
[[[[]],[],[[]]]] => 2
[[[[]],[[]],[]]] => 2
[[[[]],[[],[]]]] => 2
[[[[]],[[[]]]]] => 1
[[[[],[]],[],[]]] => 4
[[[[[]]],[],[]]] => 2
[[[[],[]],[[]]]] => 2
[[[[[]]],[[]]]] => 1
[[[[],[],[]],[]]] => 6
[[[[],[[]]],[]]] => 1
[[[[[]],[]],[]]] => 1
[[[[[],[]]],[]]] => 2
[[[[[[]]]],[]]] => 1
[[[[],[],[],[]]]] => 24
[[[[],[],[[]]]]] => 2
[[[[],[[]],[]]]] => 2
[[[[],[[],[]]]]] => 2
[[[[],[[[]]]]]] => 1
[[[[[]],[],[]]]] => 2
[[[[[]],[[]]]]] => 2
[[[[[],[]],[]]]] => 2
[[[[[[]]],[]]]] => 1
[[[[[],[],[]]]]] => 6
[[[[[],[[]]]]]] => 1
[[[[[[]],[]]]]] => 1
[[[[[[],[]]]]]] => 2
[[[[[[[]]]]]]] => 1
[[],[],[],[],[],[],[]] => 5040
[[],[],[],[],[],[[]]] => 120
[[],[],[],[],[[]],[]] => 120
[[],[],[],[],[[],[]]] => 48
[[],[],[],[],[[[]]]] => 24
[[],[],[],[[]],[],[]] => 120
[[],[],[],[[]],[[]]] => 12
[[],[],[],[[],[]],[]] => 48
[[],[],[],[[[]]],[]] => 24
[[],[],[],[[],[],[]]] => 36
[[],[],[],[[],[[]]]] => 6
[[],[],[],[[[]],[]]] => 6
[[],[],[],[[[],[]]]] => 12
[[],[],[],[[[[]]]]] => 6
[[],[],[[]],[],[],[]] => 120
[[],[],[[]],[],[[]]] => 12
[[],[],[[]],[[]],[]] => 12
[[],[],[[]],[[],[]]] => 4
[[],[],[[]],[[[]]]] => 2
[[],[],[[],[]],[],[]] => 48
[[],[],[[[]]],[],[]] => 24
[[],[],[[],[]],[[]]] => 4
[[],[],[[[]]],[[]]] => 2
[[],[],[[],[],[]],[]] => 36
[[],[],[[],[[]]],[]] => 6
[[],[],[[[]],[]],[]] => 6
[[],[],[[[],[]]],[]] => 12
[[],[],[[[[]]]],[]] => 6
[[],[],[[],[],[],[]]] => 48
[[],[],[[],[],[[]]]] => 4
[[],[],[[],[[]],[]]] => 4
[[],[],[[],[[],[]]]] => 4
[[],[],[[],[[[]]]]] => 2
[[],[],[[[]],[],[]]] => 4
[[],[],[[[]],[[]]]] => 4
[[],[],[[[],[]],[]]] => 4
[[],[],[[[[]]],[]]] => 2
[[],[],[[[],[],[]]]] => 12
[[],[],[[[],[[]]]]] => 2
[[],[],[[[[]],[]]]] => 2
[[],[],[[[[],[]]]]] => 4
[[],[],[[[[[]]]]]] => 2
[[],[[]],[],[],[],[]] => 120
[[],[[]],[],[],[[]]] => 12
[[],[[]],[],[[]],[]] => 12
[[],[[]],[],[[],[]]] => 4
[[],[[]],[],[[[]]]] => 2
[[],[[]],[[]],[],[]] => 12
[[],[[]],[[]],[[]]] => 6
[[],[[]],[[],[]],[]] => 4
[[],[[]],[[[]]],[]] => 2
[[],[[]],[[],[],[]]] => 6
[[],[[]],[[],[[]]]] => 1
[[],[[]],[[[]],[]]] => 1
[[],[[]],[[[],[]]]] => 2
[[],[[]],[[[[]]]]] => 1
[[],[[],[]],[],[],[]] => 48
[[],[[[]]],[],[],[]] => 24
[[],[[],[]],[],[[]]] => 4
[[],[[[]]],[],[[]]] => 2
[[],[[],[]],[[]],[]] => 4
[[],[[[]]],[[]],[]] => 2
[[],[[],[]],[[],[]]] => 8
[[],[[],[]],[[[]]]] => 2
[[],[[[]]],[[],[]]] => 2
[[],[[[]]],[[[]]]] => 2
[[],[[],[],[]],[],[]] => 36
[[],[[],[[]]],[],[]] => 6
[[],[[[]],[]],[],[]] => 6
[[],[[[],[]]],[],[]] => 12
[[],[[[[]]]],[],[]] => 6
[[],[[],[],[]],[[]]] => 6
[[],[[],[[]]],[[]]] => 1
[[],[[[]],[]],[[]]] => 1
[[],[[[],[]]],[[]]] => 2
[[],[[[[]]]],[[]]] => 1
[[],[[],[],[],[]],[]] => 48
[[],[[],[],[[]]],[]] => 4
[[],[[],[[]],[]],[]] => 4
[[],[[],[[],[]]],[]] => 4
[[],[[],[[[]]]],[]] => 2
[[],[[[]],[],[]],[]] => 4
[[],[[[]],[[]]],[]] => 4
[[],[[[],[]],[]],[]] => 4
[[],[[[[]]],[]],[]] => 2
[[],[[[],[],[]]],[]] => 12
[[],[[[],[[]]]],[]] => 2
[[],[[[[]],[]]],[]] => 2
[[],[[[[],[]]]],[]] => 4
[[],[[[[[]]]]],[]] => 2
[[],[[],[],[],[],[]]] => 120
[[],[[],[],[],[[]]]] => 6
[[],[[],[],[[]],[]]] => 6
[[],[[],[],[[],[]]]] => 4
[[],[[],[],[[[]]]]] => 2
[[],[[],[[]],[],[]]] => 6
[[],[[],[[]],[[]]]] => 2
[[],[[],[[],[]],[]]] => 4
[[],[[],[[[]]],[]]] => 2
[[],[[],[[],[],[]]]] => 6
[[],[[],[[],[[]]]]] => 1
[[],[[],[[[]],[]]]] => 1
[[],[[],[[[],[]]]]] => 2
[[],[[],[[[[]]]]]] => 1
[[],[[[]],[],[],[]]] => 6
[[],[[[]],[],[[]]]] => 2
[[],[[[]],[[]],[]]] => 2
[[],[[[]],[[],[]]]] => 2
[[],[[[]],[[[]]]]] => 1
[[],[[[],[]],[],[]]] => 4
[[],[[[[]]],[],[]]] => 2
[[],[[[],[]],[[]]]] => 2
[[],[[[[]]],[[]]]] => 1
[[],[[[],[],[]],[]]] => 6
[[],[[[],[[]]],[]]] => 1
[[],[[[[]],[]],[]]] => 1
[[],[[[[],[]]],[]]] => 2
[[],[[[[[]]]],[]]] => 1
[[],[[[],[],[],[]]]] => 24
[[],[[[],[],[[]]]]] => 2
[[],[[[],[[]],[]]]] => 2
[[],[[[],[[],[]]]]] => 2
[[],[[[],[[[]]]]]] => 1
[[],[[[[]],[],[]]]] => 2
[[],[[[[]],[[]]]]] => 2
[[],[[[[],[]],[]]]] => 2
[[],[[[[[]]],[]]]] => 1
[[],[[[[],[],[]]]]] => 6
[[],[[[[],[[]]]]]] => 1
[[],[[[[[]],[]]]]] => 1
[[],[[[[[],[]]]]]] => 2
[[],[[[[[[]]]]]]] => 1
[[[]],[],[],[],[],[]] => 120
[[[]],[],[],[],[[]]] => 12
[[[]],[],[],[[]],[]] => 12
[[[]],[],[],[[],[]]] => 4
[[[]],[],[],[[[]]]] => 2
[[[]],[],[[]],[],[]] => 12
[[[]],[],[[]],[[]]] => 6
[[[]],[],[[],[]],[]] => 4
[[[]],[],[[[]]],[]] => 2
[[[]],[],[[],[],[]]] => 6
[[[]],[],[[],[[]]]] => 1
[[[]],[],[[[]],[]]] => 1
[[[]],[],[[[],[]]]] => 2
[[[]],[],[[[[]]]]] => 1
[[[]],[[]],[],[],[]] => 12
[[[]],[[]],[],[[]]] => 6
[[[]],[[]],[[]],[]] => 6
[[[]],[[]],[[],[]]] => 4
[[[]],[[]],[[[]]]] => 2
[[[]],[[],[]],[],[]] => 4
[[[]],[[[]]],[],[]] => 2
[[[]],[[],[]],[[]]] => 4
[[[]],[[[]]],[[]]] => 2
[[[]],[[],[],[]],[]] => 6
[[[]],[[],[[]]],[]] => 1
[[[]],[[[]],[]],[]] => 1
[[[]],[[[],[]]],[]] => 2
[[[]],[[[[]]]],[]] => 1
[[[]],[[],[],[],[]]] => 24
[[[]],[[],[],[[]]]] => 2
[[[]],[[],[[]],[]]] => 2
[[[]],[[],[[],[]]]] => 2
[[[]],[[],[[[]]]]] => 1
[[[]],[[[]],[],[]]] => 2
[[[]],[[[]],[[]]]] => 2
[[[]],[[[],[]],[]]] => 2
[[[]],[[[[]]],[]]] => 1
[[[]],[[[],[],[]]]] => 6
[[[]],[[[],[[]]]]] => 1
[[[]],[[[[]],[]]]] => 1
[[[]],[[[[],[]]]]] => 2
[[[]],[[[[[]]]]]] => 1
[[[],[]],[],[],[],[]] => 48
[[[[]]],[],[],[],[]] => 24
[[[],[]],[],[],[[]]] => 4
[[[[]]],[],[],[[]]] => 2
[[[],[]],[],[[]],[]] => 4
[[[[]]],[],[[]],[]] => 2
[[[],[]],[],[[],[]]] => 8
[[[],[]],[],[[[]]]] => 2
[[[[]]],[],[[],[]]] => 2
[[[[]]],[],[[[]]]] => 2
[[[],[]],[[]],[],[]] => 4
[[[[]]],[[]],[],[]] => 2
[[[],[]],[[]],[[]]] => 4
[[[[]]],[[]],[[]]] => 2
[[[],[]],[[],[]],[]] => 8
[[[],[]],[[[]]],[]] => 2
[[[[]]],[[],[]],[]] => 2
[[[[]]],[[[]]],[]] => 2
[[[],[]],[[],[],[]]] => 12
[[[],[]],[[],[[]]]] => 2
[[[],[]],[[[]],[]]] => 2
[[[],[]],[[[],[]]]] => 4
[[[],[]],[[[[]]]]] => 2
[[[[]]],[[],[],[]]] => 6
[[[[]]],[[],[[]]]] => 1
[[[[]]],[[[]],[]]] => 1
[[[[]]],[[[],[]]]] => 2
[[[[]]],[[[[]]]]] => 1
[[[],[],[]],[],[],[]] => 36
[[[],[[]]],[],[],[]] => 6
[[[[]],[]],[],[],[]] => 6
[[[[],[]]],[],[],[]] => 12
[[[[[]]]],[],[],[]] => 6
[[[],[],[]],[],[[]]] => 6
[[[],[[]]],[],[[]]] => 1
[[[[]],[]],[],[[]]] => 1
[[[[],[]]],[],[[]]] => 2
[[[[[]]]],[],[[]]] => 1
[[[],[],[]],[[]],[]] => 6
[[[],[[]]],[[]],[]] => 1
[[[[]],[]],[[]],[]] => 1
[[[[],[]]],[[]],[]] => 2
[[[[[]]]],[[]],[]] => 1
[[[],[],[]],[[],[]]] => 12
[[[],[],[]],[[[]]]] => 6
[[[],[[]]],[[],[]]] => 2
[[[],[[]]],[[[]]]] => 1
[[[[]],[]],[[],[]]] => 2
[[[[]],[]],[[[]]]] => 1
[[[[],[]]],[[],[]]] => 4
[[[[],[]]],[[[]]]] => 2
[[[[[]]]],[[],[]]] => 2
[[[[[]]]],[[[]]]] => 1
[[[],[],[],[]],[],[]] => 48
[[[],[],[[]]],[],[]] => 4
[[[],[[]],[]],[],[]] => 4
[[[],[[],[]]],[],[]] => 4
[[[],[[[]]]],[],[]] => 2
[[[[]],[],[]],[],[]] => 4
[[[[]],[[]]],[],[]] => 4
[[[[],[]],[]],[],[]] => 4
[[[[[]]],[]],[],[]] => 2
[[[[],[],[]]],[],[]] => 12
[[[[],[[]]]],[],[]] => 2
[[[[[]],[]]],[],[]] => 2
[[[[[],[]]]],[],[]] => 4
[[[[[[]]]]],[],[]] => 2
[[[],[],[],[]],[[]]] => 24
[[[],[],[[]]],[[]]] => 2
[[[],[[]],[]],[[]]] => 2
[[[],[[],[]]],[[]]] => 2
[[[],[[[]]]],[[]]] => 1
[[[[]],[],[]],[[]]] => 2
[[[[]],[[]]],[[]]] => 2
[[[[],[]],[]],[[]]] => 2
[[[[[]]],[]],[[]]] => 1
[[[[],[],[]]],[[]]] => 6
[[[[],[[]]]],[[]]] => 1
[[[[[]],[]]],[[]]] => 1
[[[[[],[]]]],[[]]] => 2
[[[[[[]]]]],[[]]] => 1
[[[],[],[],[],[]],[]] => 120
[[[],[],[],[[]]],[]] => 6
[[[],[],[[]],[]],[]] => 6
[[[],[],[[],[]]],[]] => 4
[[[],[],[[[]]]],[]] => 2
[[[],[[]],[],[]],[]] => 6
[[[],[[]],[[]]],[]] => 2
[[[],[[],[]],[]],[]] => 4
[[[],[[[]]],[]],[]] => 2
[[[],[[],[],[]]],[]] => 6
[[[],[[],[[]]]],[]] => 1
[[[],[[[]],[]]],[]] => 1
[[[],[[[],[]]]],[]] => 2
[[[],[[[[]]]]],[]] => 1
[[[[]],[],[],[]],[]] => 6
[[[[]],[],[[]]],[]] => 2
[[[[]],[[]],[]],[]] => 2
[[[[]],[[],[]]],[]] => 2
[[[[]],[[[]]]],[]] => 1
[[[[],[]],[],[]],[]] => 4
[[[[[]]],[],[]],[]] => 2
[[[[],[]],[[]]],[]] => 2
[[[[[]]],[[]]],[]] => 1
[[[[],[],[]],[]],[]] => 6
[[[[],[[]]],[]],[]] => 1
[[[[[]],[]],[]],[]] => 1
[[[[[],[]]],[]],[]] => 2
[[[[[[]]]],[]],[]] => 1
[[[[],[],[],[]]],[]] => 24
[[[[],[],[[]]]],[]] => 2
[[[[],[[]],[]]],[]] => 2
[[[[],[[],[]]]],[]] => 2
[[[[],[[[]]]]],[]] => 1
[[[[[]],[],[]]],[]] => 2
[[[[[]],[[]]]],[]] => 2
[[[[[],[]],[]]],[]] => 2
[[[[[[]]],[]]],[]] => 1
[[[[[],[],[]]]],[]] => 6
[[[[[],[[]]]]],[]] => 1
[[[[[[]],[]]]],[]] => 1
[[[[[[],[]]]]],[]] => 2
[[[[[[[]]]]]],[]] => 1
[[[],[],[],[],[],[]]] => 720
[[[],[],[],[],[[]]]] => 24
[[[],[],[],[[]],[]]] => 24
[[[],[],[],[[],[]]]] => 12
[[[],[],[],[[[]]]]] => 6
[[[],[],[[]],[],[]]] => 24
[[[],[],[[]],[[]]]] => 4
[[[],[],[[],[]],[]]] => 12
[[[],[],[[[]]],[]]] => 6
[[[],[],[[],[],[]]]] => 12
[[[],[],[[],[[]]]]] => 2
[[[],[],[[[]],[]]]] => 2
[[[],[],[[[],[]]]]] => 4
[[[],[],[[[[]]]]]] => 2
[[[],[[]],[],[],[]]] => 24
[[[],[[]],[],[[]]]] => 4
[[[],[[]],[[]],[]]] => 4
[[[],[[]],[[],[]]]] => 2
[[[],[[]],[[[]]]]] => 1
[[[],[[],[]],[],[]]] => 12
[[[],[[[]]],[],[]]] => 6
[[[],[[],[]],[[]]]] => 2
[[[],[[[]]],[[]]]] => 1
[[[],[[],[],[]],[]]] => 12
[[[],[[],[[]]],[]]] => 2
[[[],[[[]],[]],[]]] => 2
[[[],[[[],[]]],[]]] => 4
[[[],[[[[]]]],[]]] => 2
[[[],[[],[],[],[]]]] => 24
[[[],[[],[],[[]]]]] => 2
[[[],[[],[[]],[]]]] => 2
[[[],[[],[[],[]]]]] => 2
[[[],[[],[[[]]]]]] => 1
[[[],[[[]],[],[]]]] => 2
[[[],[[[]],[[]]]]] => 2
[[[],[[[],[]],[]]]] => 2
[[[],[[[[]]],[]]]] => 1
[[[],[[[],[],[]]]]] => 6
[[[],[[[],[[]]]]]] => 1
[[[],[[[[]],[]]]]] => 1
[[[],[[[[],[]]]]]] => 2
[[[],[[[[[]]]]]]] => 1
[[[[]],[],[],[],[]]] => 24
[[[[]],[],[],[[]]]] => 4
[[[[]],[],[[]],[]]] => 4
[[[[]],[],[[],[]]]] => 2
[[[[]],[],[[[]]]]] => 1
[[[[]],[[]],[],[]]] => 4
[[[[]],[[]],[[]]]] => 6
[[[[]],[[],[]],[]]] => 2
[[[[]],[[[]]],[]]] => 1
[[[[]],[[],[],[]]]] => 6
[[[[]],[[],[[]]]]] => 1
[[[[]],[[[]],[]]]] => 1
[[[[]],[[[],[]]]]] => 2
[[[[]],[[[[]]]]]] => 1
[[[[],[]],[],[],[]]] => 12
[[[[[]]],[],[],[]]] => 6
[[[[],[]],[],[[]]]] => 2
[[[[[]]],[],[[]]]] => 1
[[[[],[]],[[]],[]]] => 2
[[[[[]]],[[]],[]]] => 1
[[[[],[]],[[],[]]]] => 8
[[[[],[]],[[[]]]]] => 2
[[[[[]]],[[],[]]]] => 2
[[[[[]]],[[[]]]]] => 2
[[[[],[],[]],[],[]]] => 12
[[[[],[[]]],[],[]]] => 2
[[[[[]],[]],[],[]]] => 2
[[[[[],[]]],[],[]]] => 4
[[[[[[]]]],[],[]]] => 2
[[[[],[],[]],[[]]]] => 6
[[[[],[[]]],[[]]]] => 1
[[[[[]],[]],[[]]]] => 1
[[[[[],[]]],[[]]]] => 2
[[[[[[]]]],[[]]]] => 1
[[[[],[],[],[]],[]]] => 24
[[[[],[],[[]]],[]]] => 2
[[[[],[[]],[]],[]]] => 2
[[[[],[[],[]]],[]]] => 2
[[[[],[[[]]]],[]]] => 1
[[[[[]],[],[]],[]]] => 2
[[[[[]],[[]]],[]]] => 2
[[[[[],[]],[]],[]]] => 2
[[[[[[]]],[]],[]]] => 1
[[[[[],[],[]]],[]]] => 6
[[[[[],[[]]]],[]]] => 1
[[[[[[]],[]]],[]]] => 1
[[[[[[],[]]]],[]]] => 2
[[[[[[[]]]]],[]]] => 1
[[[[],[],[],[],[]]]] => 120
[[[[],[],[],[[]]]]] => 6
[[[[],[],[[]],[]]]] => 6
[[[[],[],[[],[]]]]] => 4
[[[[],[],[[[]]]]]] => 2
[[[[],[[]],[],[]]]] => 6
[[[[],[[]],[[]]]]] => 2
[[[[],[[],[]],[]]]] => 4
[[[[],[[[]]],[]]]] => 2
[[[[],[[],[],[]]]]] => 6
[[[[],[[],[[]]]]]] => 1
[[[[],[[[]],[]]]]] => 1
[[[[],[[[],[]]]]]] => 2
[[[[],[[[[]]]]]]] => 1
[[[[[]],[],[],[]]]] => 6
[[[[[]],[],[[]]]]] => 2
[[[[[]],[[]],[]]]] => 2
[[[[[]],[[],[]]]]] => 2
[[[[[]],[[[]]]]]] => 1
[[[[[],[]],[],[]]]] => 4
[[[[[[]]],[],[]]]] => 2
[[[[[],[]],[[]]]]] => 2
[[[[[[]]],[[]]]]] => 1
[[[[[],[],[]],[]]]] => 6
[[[[[],[[]]],[]]]] => 1
[[[[[[]],[]],[]]]] => 1
[[[[[[],[]]],[]]]] => 2
[[[[[[[]]]],[]]]] => 1
[[[[[],[],[],[]]]]] => 24
[[[[[],[],[[]]]]]] => 2
[[[[[],[[]],[]]]]] => 2
[[[[[],[[],[]]]]]] => 2
[[[[[],[[[]]]]]]] => 1
[[[[[[]],[],[]]]]] => 2
[[[[[[]],[[]]]]]] => 2
[[[[[[],[]],[]]]]] => 2
[[[[[[[]]],[]]]]] => 1
[[[[[[],[],[]]]]]] => 6
[[[[[[],[[]]]]]]] => 1
[[[[[[[]],[]]]]]] => 1
[[[[[[[],[]]]]]]] => 2
[[[[[[[[]]]]]]]] => 1
[[],[],[],[],[],[],[],[]] => 40320
[[],[],[],[],[],[],[[]]] => 720
[[],[],[],[],[],[[]],[]] => 720
[[],[],[],[],[],[[],[]]] => 240
[[],[],[],[],[],[[[]]]] => 120
[[],[],[],[],[[]],[],[]] => 720
[[],[],[],[],[[]],[[]]] => 48
[[],[],[],[],[[],[]],[]] => 240
[[],[],[],[],[[[]]],[]] => 120
[[],[],[],[],[[],[],[]]] => 144
[[],[],[],[],[[],[[]]]] => 24
[[],[],[],[],[[[]],[]]] => 24
[[],[],[],[],[[[],[]]]] => 48
[[],[],[],[],[[[[]]]]] => 24
[[],[],[],[[]],[],[],[]] => 720
[[],[],[],[[]],[],[[]]] => 48
[[],[],[],[[]],[[]],[]] => 48
[[],[],[],[[]],[[],[]]] => 12
[[],[],[],[[]],[[[]]]] => 6
[[],[],[],[[],[]],[],[]] => 240
[[],[],[],[[[]]],[],[]] => 120
[[],[],[],[[],[]],[[]]] => 12
[[],[],[],[[[]]],[[]]] => 6
[[],[],[],[[],[],[]],[]] => 144
[[],[],[],[[],[[]]],[]] => 24
[[],[],[],[[[]],[]],[]] => 24
[[],[],[],[[[],[]]],[]] => 48
[[],[],[],[[[[]]]],[]] => 24
[[],[],[],[[],[],[],[]]] => 144
[[],[],[],[[],[],[[]]]] => 12
[[],[],[],[[],[[]],[]]] => 12
[[],[],[],[[],[[],[]]]] => 12
[[],[],[],[[],[[[]]]]] => 6
[[],[],[],[[[]],[],[]]] => 12
[[],[],[],[[[]],[[]]]] => 12
[[],[],[],[[[],[]],[]]] => 12
[[],[],[],[[[[]]],[]]] => 6
[[],[],[],[[[],[],[]]]] => 36
[[],[],[],[[[],[[]]]]] => 6
[[],[],[],[[[[]],[]]]] => 6
[[],[],[],[[[[],[]]]]] => 12
[[],[],[],[[[[[]]]]]] => 6
[[],[],[[]],[],[],[],[]] => 720
[[],[],[[]],[],[],[[]]] => 48
[[],[],[[]],[],[[]],[]] => 48
[[],[],[[]],[],[[],[]]] => 12
[[],[],[[]],[],[[[]]]] => 6
[[],[],[[]],[[]],[],[]] => 48
[[],[],[[]],[[]],[[]]] => 12
[[],[],[[]],[[],[]],[]] => 12
[[],[],[[]],[[[]]],[]] => 6
[[],[],[[]],[[],[],[]]] => 12
[[],[],[[]],[[],[[]]]] => 2
[[],[],[[]],[[[]],[]]] => 2
[[],[],[[]],[[[],[]]]] => 4
[[],[],[[]],[[[[]]]]] => 2
[[],[],[[],[]],[],[],[]] => 240
[[],[],[[[]]],[],[],[]] => 120
[[],[],[[],[]],[],[[]]] => 12
[[],[],[[[]]],[],[[]]] => 6
[[],[],[[],[]],[[]],[]] => 12
[[],[],[[[]]],[[]],[]] => 6
[[],[],[[],[]],[[],[]]] => 16
[[],[],[[],[]],[[[]]]] => 4
[[],[],[[[]]],[[],[]]] => 4
[[],[],[[[]]],[[[]]]] => 4
[[],[],[[],[],[]],[],[]] => 144
[[],[],[[],[[]]],[],[]] => 24
[[],[],[[[]],[]],[],[]] => 24
[[],[],[[[],[]]],[],[]] => 48
[[],[],[[[[]]]],[],[]] => 24
[[],[],[[],[],[]],[[]]] => 12
[[],[],[[],[[]]],[[]]] => 2
[[],[],[[[]],[]],[[]]] => 2
[[],[],[[[],[]]],[[]]] => 4
[[],[],[[[[]]]],[[]]] => 2
[[],[],[[],[],[],[]],[]] => 144
[[],[],[[],[],[[]]],[]] => 12
[[],[],[[],[[]],[]],[]] => 12
[[],[],[[],[[],[]]],[]] => 12
[[],[],[[],[[[]]]],[]] => 6
[[],[],[[[]],[],[]],[]] => 12
[[],[],[[[]],[[]]],[]] => 12
[[],[],[[[],[]],[]],[]] => 12
[[],[],[[[[]]],[]],[]] => 6
[[],[],[[[],[],[]]],[]] => 36
[[],[],[[[],[[]]]],[]] => 6
[[],[],[[[[]],[]]],[]] => 6
[[],[],[[[[],[]]]],[]] => 12
[[],[],[[[[[]]]]],[]] => 6
[[],[],[[],[],[],[],[]]] => 240
[[],[],[[],[],[],[[]]]] => 12
[[],[],[[],[],[[]],[]]] => 12
[[],[],[[],[],[[],[]]]] => 8
[[],[],[[],[],[[[]]]]] => 4
[[],[],[[],[[]],[],[]]] => 12
[[],[],[[],[[]],[[]]]] => 4
[[],[],[[],[[],[]],[]]] => 8
[[],[],[[],[[[]]],[]]] => 4
[[],[],[[],[[],[],[]]]] => 12
[[],[],[[],[[],[[]]]]] => 2
[[],[],[[],[[[]],[]]]] => 2
[[],[],[[],[[[],[]]]]] => 4
[[],[],[[],[[[[]]]]]] => 2
[[],[],[[[]],[],[],[]]] => 12
[[],[],[[[]],[],[[]]]] => 4
[[],[],[[[]],[[]],[]]] => 4
[[],[],[[[]],[[],[]]]] => 4
[[],[],[[[]],[[[]]]]] => 2
[[],[],[[[],[]],[],[]]] => 8
[[],[],[[[[]]],[],[]]] => 4
[[],[],[[[],[]],[[]]]] => 4
[[],[],[[[[]]],[[]]]] => 2
[[],[],[[[],[],[]],[]]] => 12
[[],[],[[[],[[]]],[]]] => 2
[[],[],[[[[]],[]],[]]] => 2
[[],[],[[[[],[]]],[]]] => 4
[[],[],[[[[[]]]],[]]] => 2
[[],[],[[[],[],[],[]]]] => 48
[[],[],[[[],[],[[]]]]] => 4
[[],[],[[[],[[]],[]]]] => 4
[[],[],[[[],[[],[]]]]] => 4
[[],[],[[[],[[[]]]]]] => 2
[[],[],[[[[]],[],[]]]] => 4
[[],[],[[[[]],[[]]]]] => 4
[[],[],[[[[],[]],[]]]] => 4
[[],[],[[[[[]]],[]]]] => 2
[[],[],[[[[],[],[]]]]] => 12
[[],[],[[[[],[[]]]]]] => 2
[[],[],[[[[[]],[]]]]] => 2
[[],[],[[[[[],[]]]]]] => 4
[[],[],[[[[[[]]]]]]] => 2
[[],[[]],[],[],[],[],[]] => 720
[[],[[]],[],[],[],[[]]] => 48
[[],[[]],[],[],[[]],[]] => 48
[[],[[]],[],[],[[],[]]] => 12
[[],[[]],[],[],[[[]]]] => 6
[[],[[]],[],[[]],[],[]] => 48
[[],[[]],[],[[]],[[]]] => 12
[[],[[]],[],[[],[]],[]] => 12
[[],[[]],[],[[[]]],[]] => 6
[[],[[]],[],[[],[],[]]] => 12
[[],[[]],[],[[],[[]]]] => 2
[[],[[]],[],[[[]],[]]] => 2
[[],[[]],[],[[[],[]]]] => 4
[[],[[]],[],[[[[]]]]] => 2
[[],[[]],[[]],[],[],[]] => 48
[[],[[]],[[]],[],[[]]] => 12
[[],[[]],[[]],[[]],[]] => 12
[[],[[]],[[]],[[],[]]] => 4
[[],[[]],[[]],[[[]]]] => 2
[[],[[]],[[],[]],[],[]] => 12
[[],[[]],[[[]]],[],[]] => 6
[[],[[]],[[],[]],[[]]] => 4
[[],[[]],[[[]]],[[]]] => 2
[[],[[]],[[],[],[]],[]] => 12
[[],[[]],[[],[[]]],[]] => 2
[[],[[]],[[[]],[]],[]] => 2
[[],[[]],[[[],[]]],[]] => 4
[[],[[]],[[[[]]]],[]] => 2
[[],[[]],[[],[],[],[]]] => 24
[[],[[]],[[],[],[[]]]] => 2
[[],[[]],[[],[[]],[]]] => 2
[[],[[]],[[],[[],[]]]] => 2
[[],[[]],[[],[[[]]]]] => 1
[[],[[]],[[[]],[],[]]] => 2
[[],[[]],[[[]],[[]]]] => 2
[[],[[]],[[[],[]],[]]] => 2
[[],[[]],[[[[]]],[]]] => 1
[[],[[]],[[[],[],[]]]] => 6
[[],[[]],[[[],[[]]]]] => 1
[[],[[]],[[[[]],[]]]] => 1
[[],[[]],[[[[],[]]]]] => 2
[[],[[]],[[[[[]]]]]] => 1
[[],[[],[]],[],[],[],[]] => 240
[[],[[[]]],[],[],[],[]] => 120
[[],[[],[]],[],[],[[]]] => 12
[[],[[[]]],[],[],[[]]] => 6
[[],[[],[]],[],[[]],[]] => 12
[[],[[[]]],[],[[]],[]] => 6
[[],[[],[]],[],[[],[]]] => 16
[[],[[],[]],[],[[[]]]] => 4
[[],[[[]]],[],[[],[]]] => 4
[[],[[[]]],[],[[[]]]] => 4
[[],[[],[]],[[]],[],[]] => 12
[[],[[[]]],[[]],[],[]] => 6
[[],[[],[]],[[]],[[]]] => 4
[[],[[[]]],[[]],[[]]] => 2
[[],[[],[]],[[],[]],[]] => 16
[[],[[],[]],[[[]]],[]] => 4
[[],[[[]]],[[],[]],[]] => 4
[[],[[[]]],[[[]]],[]] => 4
[[],[[],[]],[[],[],[]]] => 12
[[],[[],[]],[[],[[]]]] => 2
[[],[[],[]],[[[]],[]]] => 2
[[],[[],[]],[[[],[]]]] => 4
[[],[[],[]],[[[[]]]]] => 2
[[],[[[]]],[[],[],[]]] => 6
[[],[[[]]],[[],[[]]]] => 1
[[],[[[]]],[[[]],[]]] => 1
[[],[[[]]],[[[],[]]]] => 2
[[],[[[]]],[[[[]]]]] => 1
[[],[[],[],[]],[],[],[]] => 144
[[],[[],[[]]],[],[],[]] => 24
[[],[[[]],[]],[],[],[]] => 24
[[],[[[],[]]],[],[],[]] => 48
[[],[[[[]]]],[],[],[]] => 24
[[],[[],[],[]],[],[[]]] => 12
[[],[[],[[]]],[],[[]]] => 2
[[],[[[]],[]],[],[[]]] => 2
[[],[[[],[]]],[],[[]]] => 4
[[],[[[[]]]],[],[[]]] => 2
[[],[[],[],[]],[[]],[]] => 12
[[],[[],[[]]],[[]],[]] => 2
[[],[[[]],[]],[[]],[]] => 2
[[],[[[],[]]],[[]],[]] => 4
[[],[[[[]]]],[[]],[]] => 2
[[],[[],[],[]],[[],[]]] => 12
[[],[[],[],[]],[[[]]]] => 6
[[],[[],[[]]],[[],[]]] => 2
[[],[[],[[]]],[[[]]]] => 1
[[],[[[]],[]],[[],[]]] => 2
[[],[[[]],[]],[[[]]]] => 1
[[],[[[],[]]],[[],[]]] => 4
[[],[[[],[]]],[[[]]]] => 2
[[],[[[[]]]],[[],[]]] => 2
[[],[[[[]]]],[[[]]]] => 1
[[],[[],[],[],[]],[],[]] => 144
[[],[[],[],[[]]],[],[]] => 12
[[],[[],[[]],[]],[],[]] => 12
[[],[[],[[],[]]],[],[]] => 12
[[],[[],[[[]]]],[],[]] => 6
[[],[[[]],[],[]],[],[]] => 12
[[],[[[]],[[]]],[],[]] => 12
[[],[[[],[]],[]],[],[]] => 12
[[],[[[[]]],[]],[],[]] => 6
[[],[[[],[],[]]],[],[]] => 36
[[],[[[],[[]]]],[],[]] => 6
[[],[[[[]],[]]],[],[]] => 6
[[],[[[[],[]]]],[],[]] => 12
[[],[[[[[]]]]],[],[]] => 6
[[],[[],[],[],[]],[[]]] => 24
[[],[[],[],[[]]],[[]]] => 2
[[],[[],[[]],[]],[[]]] => 2
[[],[[],[[],[]]],[[]]] => 2
[[],[[],[[[]]]],[[]]] => 1
[[],[[[]],[],[]],[[]]] => 2
[[],[[[]],[[]]],[[]]] => 2
[[],[[[],[]],[]],[[]]] => 2
[[],[[[[]]],[]],[[]]] => 1
[[],[[[],[],[]]],[[]]] => 6
[[],[[[],[[]]]],[[]]] => 1
[[],[[[[]],[]]],[[]]] => 1
[[],[[[[],[]]]],[[]]] => 2
[[],[[[[[]]]]],[[]]] => 1
[[],[[],[],[],[],[]],[]] => 240
[[],[[],[],[],[[]]],[]] => 12
[[],[[],[],[[]],[]],[]] => 12
[[],[[],[],[[],[]]],[]] => 8
[[],[[],[],[[[]]]],[]] => 4
[[],[[],[[]],[],[]],[]] => 12
[[],[[],[[]],[[]]],[]] => 4
[[],[[],[[],[]],[]],[]] => 8
[[],[[],[[[]]],[]],[]] => 4
[[],[[],[[],[],[]]],[]] => 12
[[],[[],[[],[[]]]],[]] => 2
[[],[[],[[[]],[]]],[]] => 2
[[],[[],[[[],[]]]],[]] => 4
[[],[[],[[[[]]]]],[]] => 2
[[],[[[]],[],[],[]],[]] => 12
[[],[[[]],[],[[]]],[]] => 4
[[],[[[]],[[]],[]],[]] => 4
[[],[[[]],[[],[]]],[]] => 4
[[],[[[]],[[[]]]],[]] => 2
[[],[[[],[]],[],[]],[]] => 8
[[],[[[[]]],[],[]],[]] => 4
[[],[[[],[]],[[]]],[]] => 4
[[],[[[[]]],[[]]],[]] => 2
[[],[[[],[],[]],[]],[]] => 12
[[],[[[],[[]]],[]],[]] => 2
[[],[[[[]],[]],[]],[]] => 2
[[],[[[[],[]]],[]],[]] => 4
[[],[[[[[]]]],[]],[]] => 2
[[],[[[],[],[],[]]],[]] => 48
[[],[[[],[],[[]]]],[]] => 4
[[],[[[],[[]],[]]],[]] => 4
[[],[[[],[[],[]]]],[]] => 4
[[],[[[],[[[]]]]],[]] => 2
[[],[[[[]],[],[]]],[]] => 4
[[],[[[[]],[[]]]],[]] => 4
[[],[[[[],[]],[]]],[]] => 4
[[],[[[[[]]],[]]],[]] => 2
[[],[[[[],[],[]]]],[]] => 12
[[],[[[[],[[]]]]],[]] => 2
[[],[[[[[]],[]]]],[]] => 2
[[],[[[[[],[]]]]],[]] => 4
[[],[[[[[[]]]]]],[]] => 2
[[],[[],[],[],[],[],[]]] => 720
[[],[[],[],[],[],[[]]]] => 24
[[],[[],[],[],[[]],[]]] => 24
[[],[[],[],[],[[],[]]]] => 12
[[],[[],[],[],[[[]]]]] => 6
[[],[[],[],[[]],[],[]]] => 24
[[],[[],[],[[]],[[]]]] => 4
[[],[[],[],[[],[]],[]]] => 12
[[],[[],[],[[[]]],[]]] => 6
[[],[[],[],[[],[],[]]]] => 12
[[],[[],[],[[],[[]]]]] => 2
[[],[[],[],[[[]],[]]]] => 2
[[],[[],[],[[[],[]]]]] => 4
[[],[[],[],[[[[]]]]]] => 2
[[],[[],[[]],[],[],[]]] => 24
[[],[[],[[]],[],[[]]]] => 4
[[],[[],[[]],[[]],[]]] => 4
[[],[[],[[]],[[],[]]]] => 2
[[],[[],[[]],[[[]]]]] => 1
[[],[[],[[],[]],[],[]]] => 12
[[],[[],[[[]]],[],[]]] => 6
[[],[[],[[],[]],[[]]]] => 2
[[],[[],[[[]]],[[]]]] => 1
[[],[[],[[],[],[]],[]]] => 12
[[],[[],[[],[[]]],[]]] => 2
[[],[[],[[[]],[]],[]]] => 2
[[],[[],[[[],[]]],[]]] => 4
[[],[[],[[[[]]]],[]]] => 2
[[],[[],[[],[],[],[]]]] => 24
[[],[[],[[],[],[[]]]]] => 2
[[],[[],[[],[[]],[]]]] => 2
[[],[[],[[],[[],[]]]]] => 2
[[],[[],[[],[[[]]]]]] => 1
[[],[[],[[[]],[],[]]]] => 2
[[],[[],[[[]],[[]]]]] => 2
[[],[[],[[[],[]],[]]]] => 2
[[],[[],[[[[]]],[]]]] => 1
[[],[[],[[[],[],[]]]]] => 6
[[],[[],[[[],[[]]]]]] => 1
[[],[[],[[[[]],[]]]]] => 1
[[],[[],[[[[],[]]]]]] => 2
[[],[[],[[[[[]]]]]]] => 1
[[],[[[]],[],[],[],[]]] => 24
[[],[[[]],[],[],[[]]]] => 4
[[],[[[]],[],[[]],[]]] => 4
[[],[[[]],[],[[],[]]]] => 2
[[],[[[]],[],[[[]]]]] => 1
[[],[[[]],[[]],[],[]]] => 4
[[],[[[]],[[]],[[]]]] => 6
[[],[[[]],[[],[]],[]]] => 2
[[],[[[]],[[[]]],[]]] => 1
[[],[[[]],[[],[],[]]]] => 6
[[],[[[]],[[],[[]]]]] => 1
[[],[[[]],[[[]],[]]]] => 1
[[],[[[]],[[[],[]]]]] => 2
[[],[[[]],[[[[]]]]]] => 1
[[],[[[],[]],[],[],[]]] => 12
[[],[[[[]]],[],[],[]]] => 6
[[],[[[],[]],[],[[]]]] => 2
[[],[[[[]]],[],[[]]]] => 1
[[],[[[],[]],[[]],[]]] => 2
[[],[[[[]]],[[]],[]]] => 1
[[],[[[],[]],[[],[]]]] => 8
[[],[[[],[]],[[[]]]]] => 2
[[],[[[[]]],[[],[]]]] => 2
[[],[[[[]]],[[[]]]]] => 2
[[],[[[],[],[]],[],[]]] => 12
[[],[[[],[[]]],[],[]]] => 2
[[],[[[[]],[]],[],[]]] => 2
[[],[[[[],[]]],[],[]]] => 4
[[],[[[[[]]]],[],[]]] => 2
[[],[[[],[],[]],[[]]]] => 6
[[],[[[],[[]]],[[]]]] => 1
[[],[[[[]],[]],[[]]]] => 1
[[],[[[[],[]]],[[]]]] => 2
[[],[[[[[]]]],[[]]]] => 1
[[],[[[],[],[],[]],[]]] => 24
[[],[[[],[],[[]]],[]]] => 2
[[],[[[],[[]],[]],[]]] => 2
[[],[[[],[[],[]]],[]]] => 2
[[],[[[],[[[]]]],[]]] => 1
[[],[[[[]],[],[]],[]]] => 2
[[],[[[[]],[[]]],[]]] => 2
[[],[[[[],[]],[]],[]]] => 2
[[],[[[[[]]],[]],[]]] => 1
[[],[[[[],[],[]]],[]]] => 6
[[],[[[[],[[]]]],[]]] => 1
[[],[[[[[]],[]]],[]]] => 1
[[],[[[[[],[]]]],[]]] => 2
[[],[[[[[[]]]]],[]]] => 1
[[],[[[],[],[],[],[]]]] => 120
[[],[[[],[],[],[[]]]]] => 6
[[],[[[],[],[[]],[]]]] => 6
[[],[[[],[],[[],[]]]]] => 4
[[],[[[],[],[[[]]]]]] => 2
[[],[[[],[[]],[],[]]]] => 6
[[],[[[],[[]],[[]]]]] => 2
[[],[[[],[[],[]],[]]]] => 4
[[],[[[],[[[]]],[]]]] => 2
[[],[[[],[[],[],[]]]]] => 6
[[],[[[],[[],[[]]]]]] => 1
[[],[[[],[[[]],[]]]]] => 1
[[],[[[],[[[],[]]]]]] => 2
[[],[[[],[[[[]]]]]]] => 1
[[],[[[[]],[],[],[]]]] => 6
[[],[[[[]],[],[[]]]]] => 2
[[],[[[[]],[[]],[]]]] => 2
[[],[[[[]],[[],[]]]]] => 2
[[],[[[[]],[[[]]]]]] => 1
[[],[[[[],[]],[],[]]]] => 4
[[],[[[[[]]],[],[]]]] => 2
[[],[[[[],[]],[[]]]]] => 2
[[],[[[[[]]],[[]]]]] => 1
[[],[[[[],[],[]],[]]]] => 6
[[],[[[[],[[]]],[]]]] => 1
[[],[[[[[]],[]],[]]]] => 1
[[],[[[[[],[]]],[]]]] => 2
[[],[[[[[[]]]],[]]]] => 1
[[],[[[[],[],[],[]]]]] => 24
[[],[[[[],[],[[]]]]]] => 2
[[],[[[[],[[]],[]]]]] => 2
[[],[[[[],[[],[]]]]]] => 2
[[],[[[[],[[[]]]]]]] => 1
[[],[[[[[]],[],[]]]]] => 2
[[],[[[[[]],[[]]]]]] => 2
[[],[[[[[],[]],[]]]]] => 2
[[],[[[[[[]]],[]]]]] => 1
[[],[[[[[],[],[]]]]]] => 6
[[],[[[[[],[[]]]]]]] => 1
[[],[[[[[[]],[]]]]]] => 1
[[],[[[[[[],[]]]]]]] => 2
[[],[[[[[[[]]]]]]]] => 1
[[[]],[],[],[],[],[],[]] => 720
[[[]],[],[],[],[],[[]]] => 48
[[[]],[],[],[],[[]],[]] => 48
[[[]],[],[],[],[[],[]]] => 12
[[[]],[],[],[],[[[]]]] => 6
[[[]],[],[],[[]],[],[]] => 48
[[[]],[],[],[[]],[[]]] => 12
[[[]],[],[],[[],[]],[]] => 12
[[[]],[],[],[[[]]],[]] => 6
[[[]],[],[],[[],[],[]]] => 12
[[[]],[],[],[[],[[]]]] => 2
[[[]],[],[],[[[]],[]]] => 2
[[[]],[],[],[[[],[]]]] => 4
[[[]],[],[],[[[[]]]]] => 2
[[[]],[],[[]],[],[],[]] => 48
[[[]],[],[[]],[],[[]]] => 12
[[[]],[],[[]],[[]],[]] => 12
[[[]],[],[[]],[[],[]]] => 4
[[[]],[],[[]],[[[]]]] => 2
[[[]],[],[[],[]],[],[]] => 12
[[[]],[],[[[]]],[],[]] => 6
[[[]],[],[[],[]],[[]]] => 4
[[[]],[],[[[]]],[[]]] => 2
[[[]],[],[[],[],[]],[]] => 12
[[[]],[],[[],[[]]],[]] => 2
[[[]],[],[[[]],[]],[]] => 2
[[[]],[],[[[],[]]],[]] => 4
[[[]],[],[[[[]]]],[]] => 2
[[[]],[],[[],[],[],[]]] => 24
[[[]],[],[[],[],[[]]]] => 2
[[[]],[],[[],[[]],[]]] => 2
[[[]],[],[[],[[],[]]]] => 2
[[[]],[],[[],[[[]]]]] => 1
[[[]],[],[[[]],[],[]]] => 2
[[[]],[],[[[]],[[]]]] => 2
[[[]],[],[[[],[]],[]]] => 2
[[[]],[],[[[[]]],[]]] => 1
[[[]],[],[[[],[],[]]]] => 6
[[[]],[],[[[],[[]]]]] => 1
[[[]],[],[[[[]],[]]]] => 1
[[[]],[],[[[[],[]]]]] => 2
[[[]],[],[[[[[]]]]]] => 1
[[[]],[[]],[],[],[],[]] => 48
[[[]],[[]],[],[],[[]]] => 12
[[[]],[[]],[],[[]],[]] => 12
[[[]],[[]],[],[[],[]]] => 4
[[[]],[[]],[],[[[]]]] => 2
[[[]],[[]],[[]],[],[]] => 12
[[[]],[[]],[[]],[[]]] => 24
[[[]],[[]],[[],[]],[]] => 4
[[[]],[[]],[[[]]],[]] => 2
[[[]],[[]],[[],[],[]]] => 12
[[[]],[[]],[[],[[]]]] => 2
[[[]],[[]],[[[]],[]]] => 2
[[[]],[[]],[[[],[]]]] => 4
[[[]],[[]],[[[[]]]]] => 2
[[[]],[[],[]],[],[],[]] => 12
[[[]],[[[]]],[],[],[]] => 6
[[[]],[[],[]],[],[[]]] => 4
[[[]],[[[]]],[],[[]]] => 2
[[[]],[[],[]],[[]],[]] => 4
[[[]],[[[]]],[[]],[]] => 2
[[[]],[[],[]],[[],[]]] => 8
[[[]],[[],[]],[[[]]]] => 2
[[[]],[[[]]],[[],[]]] => 2
[[[]],[[[]]],[[[]]]] => 2
[[[]],[[],[],[]],[],[]] => 12
[[[]],[[],[[]]],[],[]] => 2
[[[]],[[[]],[]],[],[]] => 2
[[[]],[[[],[]]],[],[]] => 4
[[[]],[[[[]]]],[],[]] => 2
[[[]],[[],[],[]],[[]]] => 12
[[[]],[[],[[]]],[[]]] => 2
[[[]],[[[]],[]],[[]]] => 2
[[[]],[[[],[]]],[[]]] => 4
[[[]],[[[[]]]],[[]]] => 2
[[[]],[[],[],[],[]],[]] => 24
[[[]],[[],[],[[]]],[]] => 2
[[[]],[[],[[]],[]],[]] => 2
[[[]],[[],[[],[]]],[]] => 2
[[[]],[[],[[[]]]],[]] => 1
[[[]],[[[]],[],[]],[]] => 2
[[[]],[[[]],[[]]],[]] => 2
[[[]],[[[],[]],[]],[]] => 2
[[[]],[[[[]]],[]],[]] => 1
[[[]],[[[],[],[]]],[]] => 6
[[[]],[[[],[[]]]],[]] => 1
[[[]],[[[[]],[]]],[]] => 1
[[[]],[[[[],[]]]],[]] => 2
[[[]],[[[[[]]]]],[]] => 1
[[[]],[[],[],[],[],[]]] => 120
[[[]],[[],[],[],[[]]]] => 6
[[[]],[[],[],[[]],[]]] => 6
[[[]],[[],[],[[],[]]]] => 4
[[[]],[[],[],[[[]]]]] => 2
[[[]],[[],[[]],[],[]]] => 6
[[[]],[[],[[]],[[]]]] => 2
[[[]],[[],[[],[]],[]]] => 4
[[[]],[[],[[[]]],[]]] => 2
[[[]],[[],[[],[],[]]]] => 6
[[[]],[[],[[],[[]]]]] => 1
[[[]],[[],[[[]],[]]]] => 1
[[[]],[[],[[[],[]]]]] => 2
[[[]],[[],[[[[]]]]]] => 1
[[[]],[[[]],[],[],[]]] => 6
[[[]],[[[]],[],[[]]]] => 2
[[[]],[[[]],[[]],[]]] => 2
[[[]],[[[]],[[],[]]]] => 2
[[[]],[[[]],[[[]]]]] => 1
[[[]],[[[],[]],[],[]]] => 4
[[[]],[[[[]]],[],[]]] => 2
[[[]],[[[],[]],[[]]]] => 2
[[[]],[[[[]]],[[]]]] => 1
[[[]],[[[],[],[]],[]]] => 6
[[[]],[[[],[[]]],[]]] => 1
[[[]],[[[[]],[]],[]]] => 1
[[[]],[[[[],[]]],[]]] => 2
[[[]],[[[[[]]]],[]]] => 1
[[[]],[[[],[],[],[]]]] => 24
[[[]],[[[],[],[[]]]]] => 2
[[[]],[[[],[[]],[]]]] => 2
[[[]],[[[],[[],[]]]]] => 2
[[[]],[[[],[[[]]]]]] => 1
[[[]],[[[[]],[],[]]]] => 2
[[[]],[[[[]],[[]]]]] => 2
[[[]],[[[[],[]],[]]]] => 2
[[[]],[[[[[]]],[]]]] => 1
[[[]],[[[[],[],[]]]]] => 6
[[[]],[[[[],[[]]]]]] => 1
[[[]],[[[[[]],[]]]]] => 1
[[[]],[[[[[],[]]]]]] => 2
[[[]],[[[[[[]]]]]]] => 1
[[[],[]],[],[],[],[],[]] => 240
[[[[]]],[],[],[],[],[]] => 120
[[[],[]],[],[],[],[[]]] => 12
[[[[]]],[],[],[],[[]]] => 6
[[[],[]],[],[],[[]],[]] => 12
[[[[]]],[],[],[[]],[]] => 6
[[[],[]],[],[],[[],[]]] => 16
[[[],[]],[],[],[[[]]]] => 4
[[[[]]],[],[],[[],[]]] => 4
[[[[]]],[],[],[[[]]]] => 4
[[[],[]],[],[[]],[],[]] => 12
[[[[]]],[],[[]],[],[]] => 6
[[[],[]],[],[[]],[[]]] => 4
[[[[]]],[],[[]],[[]]] => 2
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Created: Feb 26, 2016 at 08:25 by Martin Rubey
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Last Updated: Feb 26, 2016 at 08:25 by Martin Rubey