*****************************************************************************
* 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: St000416
-----------------------------------------------------------------------------
Collection: Ordered trees
-----------------------------------------------------------------------------
Description: The number of inequivalent increasing trees of an ordered tree.
The total number of increasing trees is [[St000085]].
-----------------------------------------------------------------------------
References: [1] [[wikipedia:Butcher group]]
-----------------------------------------------------------------------------
Code:
def automorphism_group_ordered(T):
children = [S for S in T]
multiplicities = [(S, children.count(S)) for S in set(children)]
return prod(automorphism_group_ordered(S)^m*factorial(m) for (S, m) in multiplicities)
def statistic(B):
return factorial(B.node_number())/automorphism_group_ordered(B)/B.tree_factorial()
-----------------------------------------------------------------------------
Statistic values:
[[]] => 1
[[],[]] => 1
[[[]]] => 1
[[],[],[]] => 1
[[],[[]]] => 3
[[[]],[]] => 3
[[[],[]]] => 1
[[[[]]]] => 1
[[],[],[],[]] => 1
[[],[],[[]]] => 6
[[],[[]],[]] => 6
[[],[[],[]]] => 4
[[],[[[]]]] => 4
[[[]],[],[]] => 6
[[[]],[[]]] => 3
[[[],[]],[]] => 4
[[[[]]],[]] => 4
[[[],[],[]]] => 1
[[[],[[]]]] => 3
[[[[]],[]]] => 3
[[[[],[]]]] => 1
[[[[[]]]]] => 1
[[],[],[],[],[]] => 1
[[],[],[],[[]]] => 10
[[],[],[[]],[]] => 10
[[],[],[[],[]]] => 10
[[],[],[[[]]]] => 10
[[],[[]],[],[]] => 10
[[],[[]],[[]]] => 15
[[],[[],[]],[]] => 10
[[],[[[]]],[]] => 10
[[],[[],[],[]]] => 5
[[],[[],[[]]]] => 15
[[],[[[]],[]]] => 15
[[],[[[],[]]]] => 5
[[],[[[[]]]]] => 5
[[[]],[],[],[]] => 10
[[[]],[],[[]]] => 15
[[[]],[[]],[]] => 15
[[[]],[[],[]]] => 10
[[[]],[[[]]]] => 10
[[[],[]],[],[]] => 10
[[[[]]],[],[]] => 10
[[[],[]],[[]]] => 10
[[[[]]],[[]]] => 10
[[[],[],[]],[]] => 5
[[[],[[]]],[]] => 15
[[[[]],[]],[]] => 15
[[[[],[]]],[]] => 5
[[[[[]]]],[]] => 5
[[[],[],[],[]]] => 1
[[[],[],[[]]]] => 6
[[[],[[]],[]]] => 6
[[[],[[],[]]]] => 4
[[[],[[[]]]]] => 4
[[[[]],[],[]]] => 6
[[[[]],[[]]]] => 3
[[[[],[]],[]]] => 4
[[[[[]]],[]]] => 4
[[[[],[],[]]]] => 1
[[[[],[[]]]]] => 3
[[[[[]],[]]]] => 3
[[[[[],[]]]]] => 1
[[[[[[]]]]]] => 1
[[],[],[],[],[],[]] => 1
[[],[],[],[],[[]]] => 15
[[],[],[],[[]],[]] => 15
[[],[],[],[[],[]]] => 20
[[],[],[],[[[]]]] => 20
[[],[],[[]],[],[]] => 15
[[],[],[[]],[[]]] => 45
[[],[],[[],[]],[]] => 20
[[],[],[[[]]],[]] => 20
[[],[],[[],[],[]]] => 15
[[],[],[[],[[]]]] => 45
[[],[],[[[]],[]]] => 45
[[],[],[[[],[]]]] => 15
[[],[],[[[[]]]]] => 15
[[],[[]],[],[],[]] => 15
[[],[[]],[],[[]]] => 45
[[],[[]],[[]],[]] => 45
[[],[[]],[[],[]]] => 60
[[],[[]],[[[]]]] => 60
[[],[[],[]],[],[]] => 20
[[],[[[]]],[],[]] => 20
[[],[[],[]],[[]]] => 60
[[],[[[]]],[[]]] => 60
[[],[[],[],[]],[]] => 15
[[],[[],[[]]],[]] => 45
[[],[[[]],[]],[]] => 45
[[],[[[],[]]],[]] => 15
[[],[[[[]]]],[]] => 15
[[],[[],[],[],[]]] => 6
[[],[[],[],[[]]]] => 36
[[],[[],[[]],[]]] => 36
[[],[[],[[],[]]]] => 24
[[],[[],[[[]]]]] => 24
[[],[[[]],[],[]]] => 36
[[],[[[]],[[]]]] => 18
[[],[[[],[]],[]]] => 24
[[],[[[[]]],[]]] => 24
[[],[[[],[],[]]]] => 6
[[],[[[],[[]]]]] => 18
[[],[[[[]],[]]]] => 18
[[],[[[[],[]]]]] => 6
[[],[[[[[]]]]]] => 6
[[[]],[],[],[],[]] => 15
[[[]],[],[],[[]]] => 45
[[[]],[],[[]],[]] => 45
[[[]],[],[[],[]]] => 60
[[[]],[],[[[]]]] => 60
[[[]],[[]],[],[]] => 45
[[[]],[[]],[[]]] => 15
[[[]],[[],[]],[]] => 60
[[[]],[[[]]],[]] => 60
[[[]],[[],[],[]]] => 15
[[[]],[[],[[]]]] => 45
[[[]],[[[]],[]]] => 45
[[[]],[[[],[]]]] => 15
[[[]],[[[[]]]]] => 15
[[[],[]],[],[],[]] => 20
[[[[]]],[],[],[]] => 20
[[[],[]],[],[[]]] => 60
[[[[]]],[],[[]]] => 60
[[[],[]],[[]],[]] => 60
[[[[]]],[[]],[]] => 60
[[[],[]],[[],[]]] => 10
[[[],[]],[[[]]]] => 20
[[[[]]],[[],[]]] => 20
[[[[]]],[[[]]]] => 10
[[[],[],[]],[],[]] => 15
[[[],[[]]],[],[]] => 45
[[[[]],[]],[],[]] => 45
[[[[],[]]],[],[]] => 15
[[[[[]]]],[],[]] => 15
[[[],[],[]],[[]]] => 15
[[[],[[]]],[[]]] => 45
[[[[]],[]],[[]]] => 45
[[[[],[]]],[[]]] => 15
[[[[[]]]],[[]]] => 15
[[[],[],[],[]],[]] => 6
[[[],[],[[]]],[]] => 36
[[[],[[]],[]],[]] => 36
[[[],[[],[]]],[]] => 24
[[[],[[[]]]],[]] => 24
[[[[]],[],[]],[]] => 36
[[[[]],[[]]],[]] => 18
[[[[],[]],[]],[]] => 24
[[[[[]]],[]],[]] => 24
[[[[],[],[]]],[]] => 6
[[[[],[[]]]],[]] => 18
[[[[[]],[]]],[]] => 18
[[[[[],[]]]],[]] => 6
[[[[[[]]]]],[]] => 6
[[[],[],[],[],[]]] => 1
[[[],[],[],[[]]]] => 10
[[[],[],[[]],[]]] => 10
[[[],[],[[],[]]]] => 10
[[[],[],[[[]]]]] => 10
[[[],[[]],[],[]]] => 10
[[[],[[]],[[]]]] => 15
[[[],[[],[]],[]]] => 10
[[[],[[[]]],[]]] => 10
[[[],[[],[],[]]]] => 5
[[[],[[],[[]]]]] => 15
[[[],[[[]],[]]]] => 15
[[[],[[[],[]]]]] => 5
[[[],[[[[]]]]]] => 5
[[[[]],[],[],[]]] => 10
[[[[]],[],[[]]]] => 15
[[[[]],[[]],[]]] => 15
[[[[]],[[],[]]]] => 10
[[[[]],[[[]]]]] => 10
[[[[],[]],[],[]]] => 10
[[[[[]]],[],[]]] => 10
[[[[],[]],[[]]]] => 10
[[[[[]]],[[]]]] => 10
[[[[],[],[]],[]]] => 5
[[[[],[[]]],[]]] => 15
[[[[[]],[]],[]]] => 15
[[[[[],[]]],[]]] => 5
[[[[[[]]]],[]]] => 5
[[[[],[],[],[]]]] => 1
[[[[],[],[[]]]]] => 6
[[[[],[[]],[]]]] => 6
[[[[],[[],[]]]]] => 4
[[[[],[[[]]]]]] => 4
[[[[[]],[],[]]]] => 6
[[[[[]],[[]]]]] => 3
[[[[[],[]],[]]]] => 4
[[[[[[]]],[]]]] => 4
[[[[[],[],[]]]]] => 1
[[[[[],[[]]]]]] => 3
[[[[[[]],[]]]]] => 3
[[[[[[],[]]]]]] => 1
[[[[[[[]]]]]]] => 1
[[],[],[],[],[],[],[]] => 1
[[],[],[],[],[],[[]]] => 21
[[],[],[],[],[[]],[]] => 21
[[],[],[],[],[[],[]]] => 35
[[],[],[],[],[[[]]]] => 35
[[],[],[],[[]],[],[]] => 21
[[],[],[],[[]],[[]]] => 105
[[],[],[],[[],[]],[]] => 35
[[],[],[],[[[]]],[]] => 35
[[],[],[],[[],[],[]]] => 35
[[],[],[],[[],[[]]]] => 105
[[],[],[],[[[]],[]]] => 105
[[],[],[],[[[],[]]]] => 35
[[],[],[],[[[[]]]]] => 35
[[],[],[[]],[],[],[]] => 21
[[],[],[[]],[],[[]]] => 105
[[],[],[[]],[[]],[]] => 105
[[],[],[[]],[[],[]]] => 210
[[],[],[[]],[[[]]]] => 210
[[],[],[[],[]],[],[]] => 35
[[],[],[[[]]],[],[]] => 35
[[],[],[[],[]],[[]]] => 210
[[],[],[[[]]],[[]]] => 210
[[],[],[[],[],[]],[]] => 35
[[],[],[[],[[]]],[]] => 105
[[],[],[[[]],[]],[]] => 105
[[],[],[[[],[]]],[]] => 35
[[],[],[[[[]]]],[]] => 35
[[],[],[[],[],[],[]]] => 21
[[],[],[[],[],[[]]]] => 126
[[],[],[[],[[]],[]]] => 126
[[],[],[[],[[],[]]]] => 84
[[],[],[[],[[[]]]]] => 84
[[],[],[[[]],[],[]]] => 126
[[],[],[[[]],[[]]]] => 63
[[],[],[[[],[]],[]]] => 84
[[],[],[[[[]]],[]]] => 84
[[],[],[[[],[],[]]]] => 21
[[],[],[[[],[[]]]]] => 63
[[],[],[[[[]],[]]]] => 63
[[],[],[[[[],[]]]]] => 21
[[],[],[[[[[]]]]]] => 21
[[],[[]],[],[],[],[]] => 21
[[],[[]],[],[],[[]]] => 105
[[],[[]],[],[[]],[]] => 105
[[],[[]],[],[[],[]]] => 210
[[],[[]],[],[[[]]]] => 210
[[],[[]],[[]],[],[]] => 105
[[],[[]],[[]],[[]]] => 105
[[],[[]],[[],[]],[]] => 210
[[],[[]],[[[]]],[]] => 210
[[],[[]],[[],[],[]]] => 105
[[],[[]],[[],[[]]]] => 315
[[],[[]],[[[]],[]]] => 315
[[],[[]],[[[],[]]]] => 105
[[],[[]],[[[[]]]]] => 105
[[],[[],[]],[],[],[]] => 35
[[],[[[]]],[],[],[]] => 35
[[],[[],[]],[],[[]]] => 210
[[],[[[]]],[],[[]]] => 210
[[],[[],[]],[[]],[]] => 210
[[],[[[]]],[[]],[]] => 210
[[],[[],[]],[[],[]]] => 70
[[],[[],[]],[[[]]]] => 140
[[],[[[]]],[[],[]]] => 140
[[],[[[]]],[[[]]]] => 70
[[],[[],[],[]],[],[]] => 35
[[],[[],[[]]],[],[]] => 105
[[],[[[]],[]],[],[]] => 105
[[],[[[],[]]],[],[]] => 35
[[],[[[[]]]],[],[]] => 35
[[],[[],[],[]],[[]]] => 105
[[],[[],[[]]],[[]]] => 315
[[],[[[]],[]],[[]]] => 315
[[],[[[],[]]],[[]]] => 105
[[],[[[[]]]],[[]]] => 105
[[],[[],[],[],[]],[]] => 21
[[],[[],[],[[]]],[]] => 126
[[],[[],[[]],[]],[]] => 126
[[],[[],[[],[]]],[]] => 84
[[],[[],[[[]]]],[]] => 84
[[],[[[]],[],[]],[]] => 126
[[],[[[]],[[]]],[]] => 63
[[],[[[],[]],[]],[]] => 84
[[],[[[[]]],[]],[]] => 84
[[],[[[],[],[]]],[]] => 21
[[],[[[],[[]]]],[]] => 63
[[],[[[[]],[]]],[]] => 63
[[],[[[[],[]]]],[]] => 21
[[],[[[[[]]]]],[]] => 21
[[],[[],[],[],[],[]]] => 7
[[],[[],[],[],[[]]]] => 70
[[],[[],[],[[]],[]]] => 70
[[],[[],[],[[],[]]]] => 70
[[],[[],[],[[[]]]]] => 70
[[],[[],[[]],[],[]]] => 70
[[],[[],[[]],[[]]]] => 105
[[],[[],[[],[]],[]]] => 70
[[],[[],[[[]]],[]]] => 70
[[],[[],[[],[],[]]]] => 35
[[],[[],[[],[[]]]]] => 105
[[],[[],[[[]],[]]]] => 105
[[],[[],[[[],[]]]]] => 35
[[],[[],[[[[]]]]]] => 35
[[],[[[]],[],[],[]]] => 70
[[],[[[]],[],[[]]]] => 105
[[],[[[]],[[]],[]]] => 105
[[],[[[]],[[],[]]]] => 70
[[],[[[]],[[[]]]]] => 70
[[],[[[],[]],[],[]]] => 70
[[],[[[[]]],[],[]]] => 70
[[],[[[],[]],[[]]]] => 70
[[],[[[[]]],[[]]]] => 70
[[],[[[],[],[]],[]]] => 35
[[],[[[],[[]]],[]]] => 105
[[],[[[[]],[]],[]]] => 105
[[],[[[[],[]]],[]]] => 35
[[],[[[[[]]]],[]]] => 35
[[],[[[],[],[],[]]]] => 7
[[],[[[],[],[[]]]]] => 42
[[],[[[],[[]],[]]]] => 42
[[],[[[],[[],[]]]]] => 28
[[],[[[],[[[]]]]]] => 28
[[],[[[[]],[],[]]]] => 42
[[],[[[[]],[[]]]]] => 21
[[],[[[[],[]],[]]]] => 28
[[],[[[[[]]],[]]]] => 28
[[],[[[[],[],[]]]]] => 7
[[],[[[[],[[]]]]]] => 21
[[],[[[[[]],[]]]]] => 21
[[],[[[[[],[]]]]]] => 7
[[],[[[[[[]]]]]]] => 7
[[[]],[],[],[],[],[]] => 21
[[[]],[],[],[],[[]]] => 105
[[[]],[],[],[[]],[]] => 105
[[[]],[],[],[[],[]]] => 210
[[[]],[],[],[[[]]]] => 210
[[[]],[],[[]],[],[]] => 105
[[[]],[],[[]],[[]]] => 105
[[[]],[],[[],[]],[]] => 210
[[[]],[],[[[]]],[]] => 210
[[[]],[],[[],[],[]]] => 105
[[[]],[],[[],[[]]]] => 315
[[[]],[],[[[]],[]]] => 315
[[[]],[],[[[],[]]]] => 105
[[[]],[],[[[[]]]]] => 105
[[[]],[[]],[],[],[]] => 105
[[[]],[[]],[],[[]]] => 105
[[[]],[[]],[[]],[]] => 105
[[[]],[[]],[[],[]]] => 105
[[[]],[[]],[[[]]]] => 105
[[[]],[[],[]],[],[]] => 210
[[[]],[[[]]],[],[]] => 210
[[[]],[[],[]],[[]]] => 105
[[[]],[[[]]],[[]]] => 105
[[[]],[[],[],[]],[]] => 105
[[[]],[[],[[]]],[]] => 315
[[[]],[[[]],[]],[]] => 315
[[[]],[[[],[]]],[]] => 105
[[[]],[[[[]]]],[]] => 105
[[[]],[[],[],[],[]]] => 21
[[[]],[[],[],[[]]]] => 126
[[[]],[[],[[]],[]]] => 126
[[[]],[[],[[],[]]]] => 84
[[[]],[[],[[[]]]]] => 84
[[[]],[[[]],[],[]]] => 126
[[[]],[[[]],[[]]]] => 63
[[[]],[[[],[]],[]]] => 84
[[[]],[[[[]]],[]]] => 84
[[[]],[[[],[],[]]]] => 21
[[[]],[[[],[[]]]]] => 63
[[[]],[[[[]],[]]]] => 63
[[[]],[[[[],[]]]]] => 21
[[[]],[[[[[]]]]]] => 21
[[[],[]],[],[],[],[]] => 35
[[[[]]],[],[],[],[]] => 35
[[[],[]],[],[],[[]]] => 210
[[[[]]],[],[],[[]]] => 210
[[[],[]],[],[[]],[]] => 210
[[[[]]],[],[[]],[]] => 210
[[[],[]],[],[[],[]]] => 70
[[[],[]],[],[[[]]]] => 140
[[[[]]],[],[[],[]]] => 140
[[[[]]],[],[[[]]]] => 70
[[[],[]],[[]],[],[]] => 210
[[[[]]],[[]],[],[]] => 210
[[[],[]],[[]],[[]]] => 105
[[[[]]],[[]],[[]]] => 105
[[[],[]],[[],[]],[]] => 70
[[[],[]],[[[]]],[]] => 140
[[[[]]],[[],[]],[]] => 140
[[[[]]],[[[]]],[]] => 70
[[[],[]],[[],[],[]]] => 35
[[[],[]],[[],[[]]]] => 105
[[[],[]],[[[]],[]]] => 105
[[[],[]],[[[],[]]]] => 35
[[[],[]],[[[[]]]]] => 35
[[[[]]],[[],[],[]]] => 35
[[[[]]],[[],[[]]]] => 105
[[[[]]],[[[]],[]]] => 105
[[[[]]],[[[],[]]]] => 35
[[[[]]],[[[[]]]]] => 35
[[[],[],[]],[],[],[]] => 35
[[[],[[]]],[],[],[]] => 105
[[[[]],[]],[],[],[]] => 105
[[[[],[]]],[],[],[]] => 35
[[[[[]]]],[],[],[]] => 35
[[[],[],[]],[],[[]]] => 105
[[[],[[]]],[],[[]]] => 315
[[[[]],[]],[],[[]]] => 315
[[[[],[]]],[],[[]]] => 105
[[[[[]]]],[],[[]]] => 105
[[[],[],[]],[[]],[]] => 105
[[[],[[]]],[[]],[]] => 315
[[[[]],[]],[[]],[]] => 315
[[[[],[]]],[[]],[]] => 105
[[[[[]]]],[[]],[]] => 105
[[[],[],[]],[[],[]]] => 35
[[[],[],[]],[[[]]]] => 35
[[[],[[]]],[[],[]]] => 105
[[[],[[]]],[[[]]]] => 105
[[[[]],[]],[[],[]]] => 105
[[[[]],[]],[[[]]]] => 105
[[[[],[]]],[[],[]]] => 35
[[[[],[]]],[[[]]]] => 35
[[[[[]]]],[[],[]]] => 35
[[[[[]]]],[[[]]]] => 35
[[[],[],[],[]],[],[]] => 21
[[[],[],[[]]],[],[]] => 126
[[[],[[]],[]],[],[]] => 126
[[[],[[],[]]],[],[]] => 84
[[[],[[[]]]],[],[]] => 84
[[[[]],[],[]],[],[]] => 126
[[[[]],[[]]],[],[]] => 63
[[[[],[]],[]],[],[]] => 84
[[[[[]]],[]],[],[]] => 84
[[[[],[],[]]],[],[]] => 21
[[[[],[[]]]],[],[]] => 63
[[[[[]],[]]],[],[]] => 63
[[[[[],[]]]],[],[]] => 21
[[[[[[]]]]],[],[]] => 21
[[[],[],[],[]],[[]]] => 21
[[[],[],[[]]],[[]]] => 126
[[[],[[]],[]],[[]]] => 126
[[[],[[],[]]],[[]]] => 84
[[[],[[[]]]],[[]]] => 84
[[[[]],[],[]],[[]]] => 126
[[[[]],[[]]],[[]]] => 63
[[[[],[]],[]],[[]]] => 84
[[[[[]]],[]],[[]]] => 84
[[[[],[],[]]],[[]]] => 21
[[[[],[[]]]],[[]]] => 63
[[[[[]],[]]],[[]]] => 63
[[[[[],[]]]],[[]]] => 21
[[[[[[]]]]],[[]]] => 21
[[[],[],[],[],[]],[]] => 7
[[[],[],[],[[]]],[]] => 70
[[[],[],[[]],[]],[]] => 70
[[[],[],[[],[]]],[]] => 70
[[[],[],[[[]]]],[]] => 70
[[[],[[]],[],[]],[]] => 70
[[[],[[]],[[]]],[]] => 105
[[[],[[],[]],[]],[]] => 70
[[[],[[[]]],[]],[]] => 70
[[[],[[],[],[]]],[]] => 35
[[[],[[],[[]]]],[]] => 105
[[[],[[[]],[]]],[]] => 105
[[[],[[[],[]]]],[]] => 35
[[[],[[[[]]]]],[]] => 35
[[[[]],[],[],[]],[]] => 70
[[[[]],[],[[]]],[]] => 105
[[[[]],[[]],[]],[]] => 105
[[[[]],[[],[]]],[]] => 70
[[[[]],[[[]]]],[]] => 70
[[[[],[]],[],[]],[]] => 70
[[[[[]]],[],[]],[]] => 70
[[[[],[]],[[]]],[]] => 70
[[[[[]]],[[]]],[]] => 70
[[[[],[],[]],[]],[]] => 35
[[[[],[[]]],[]],[]] => 105
[[[[[]],[]],[]],[]] => 105
[[[[[],[]]],[]],[]] => 35
[[[[[[]]]],[]],[]] => 35
[[[[],[],[],[]]],[]] => 7
[[[[],[],[[]]]],[]] => 42
[[[[],[[]],[]]],[]] => 42
[[[[],[[],[]]]],[]] => 28
[[[[],[[[]]]]],[]] => 28
[[[[[]],[],[]]],[]] => 42
[[[[[]],[[]]]],[]] => 21
[[[[[],[]],[]]],[]] => 28
[[[[[[]]],[]]],[]] => 28
[[[[[],[],[]]]],[]] => 7
[[[[[],[[]]]]],[]] => 21
[[[[[[]],[]]]],[]] => 21
[[[[[[],[]]]]],[]] => 7
[[[[[[[]]]]]],[]] => 7
[[[],[],[],[],[],[]]] => 1
[[[],[],[],[],[[]]]] => 15
[[[],[],[],[[]],[]]] => 15
[[[],[],[],[[],[]]]] => 20
[[[],[],[],[[[]]]]] => 20
[[[],[],[[]],[],[]]] => 15
[[[],[],[[]],[[]]]] => 45
[[[],[],[[],[]],[]]] => 20
[[[],[],[[[]]],[]]] => 20
[[[],[],[[],[],[]]]] => 15
[[[],[],[[],[[]]]]] => 45
[[[],[],[[[]],[]]]] => 45
[[[],[],[[[],[]]]]] => 15
[[[],[],[[[[]]]]]] => 15
[[[],[[]],[],[],[]]] => 15
[[[],[[]],[],[[]]]] => 45
[[[],[[]],[[]],[]]] => 45
[[[],[[]],[[],[]]]] => 60
[[[],[[]],[[[]]]]] => 60
[[[],[[],[]],[],[]]] => 20
[[[],[[[]]],[],[]]] => 20
[[[],[[],[]],[[]]]] => 60
[[[],[[[]]],[[]]]] => 60
[[[],[[],[],[]],[]]] => 15
[[[],[[],[[]]],[]]] => 45
[[[],[[[]],[]],[]]] => 45
[[[],[[[],[]]],[]]] => 15
[[[],[[[[]]]],[]]] => 15
[[[],[[],[],[],[]]]] => 6
[[[],[[],[],[[]]]]] => 36
[[[],[[],[[]],[]]]] => 36
[[[],[[],[[],[]]]]] => 24
[[[],[[],[[[]]]]]] => 24
[[[],[[[]],[],[]]]] => 36
[[[],[[[]],[[]]]]] => 18
[[[],[[[],[]],[]]]] => 24
[[[],[[[[]]],[]]]] => 24
[[[],[[[],[],[]]]]] => 6
[[[],[[[],[[]]]]]] => 18
[[[],[[[[]],[]]]]] => 18
[[[],[[[[],[]]]]]] => 6
[[[],[[[[[]]]]]]] => 6
[[[[]],[],[],[],[]]] => 15
[[[[]],[],[],[[]]]] => 45
[[[[]],[],[[]],[]]] => 45
[[[[]],[],[[],[]]]] => 60
[[[[]],[],[[[]]]]] => 60
[[[[]],[[]],[],[]]] => 45
[[[[]],[[]],[[]]]] => 15
[[[[]],[[],[]],[]]] => 60
[[[[]],[[[]]],[]]] => 60
[[[[]],[[],[],[]]]] => 15
[[[[]],[[],[[]]]]] => 45
[[[[]],[[[]],[]]]] => 45
[[[[]],[[[],[]]]]] => 15
[[[[]],[[[[]]]]]] => 15
[[[[],[]],[],[],[]]] => 20
[[[[[]]],[],[],[]]] => 20
[[[[],[]],[],[[]]]] => 60
[[[[[]]],[],[[]]]] => 60
[[[[],[]],[[]],[]]] => 60
[[[[[]]],[[]],[]]] => 60
[[[[],[]],[[],[]]]] => 10
[[[[],[]],[[[]]]]] => 20
[[[[[]]],[[],[]]]] => 20
[[[[[]]],[[[]]]]] => 10
[[[[],[],[]],[],[]]] => 15
[[[[],[[]]],[],[]]] => 45
[[[[[]],[]],[],[]]] => 45
[[[[[],[]]],[],[]]] => 15
[[[[[[]]]],[],[]]] => 15
[[[[],[],[]],[[]]]] => 15
[[[[],[[]]],[[]]]] => 45
[[[[[]],[]],[[]]]] => 45
[[[[[],[]]],[[]]]] => 15
[[[[[[]]]],[[]]]] => 15
[[[[],[],[],[]],[]]] => 6
[[[[],[],[[]]],[]]] => 36
[[[[],[[]],[]],[]]] => 36
[[[[],[[],[]]],[]]] => 24
[[[[],[[[]]]],[]]] => 24
[[[[[]],[],[]],[]]] => 36
[[[[[]],[[]]],[]]] => 18
[[[[[],[]],[]],[]]] => 24
[[[[[[]]],[]],[]]] => 24
[[[[[],[],[]]],[]]] => 6
[[[[[],[[]]]],[]]] => 18
[[[[[[]],[]]],[]]] => 18
[[[[[[],[]]]],[]]] => 6
[[[[[[[]]]]],[]]] => 6
[[[[],[],[],[],[]]]] => 1
[[[[],[],[],[[]]]]] => 10
[[[[],[],[[]],[]]]] => 10
[[[[],[],[[],[]]]]] => 10
[[[[],[],[[[]]]]]] => 10
[[[[],[[]],[],[]]]] => 10
[[[[],[[]],[[]]]]] => 15
[[[[],[[],[]],[]]]] => 10
[[[[],[[[]]],[]]]] => 10
[[[[],[[],[],[]]]]] => 5
[[[[],[[],[[]]]]]] => 15
[[[[],[[[]],[]]]]] => 15
[[[[],[[[],[]]]]]] => 5
[[[[],[[[[]]]]]]] => 5
[[[[[]],[],[],[]]]] => 10
[[[[[]],[],[[]]]]] => 15
[[[[[]],[[]],[]]]] => 15
[[[[[]],[[],[]]]]] => 10
[[[[[]],[[[]]]]]] => 10
[[[[[],[]],[],[]]]] => 10
[[[[[[]]],[],[]]]] => 10
[[[[[],[]],[[]]]]] => 10
[[[[[[]]],[[]]]]] => 10
[[[[[],[],[]],[]]]] => 5
[[[[[],[[]]],[]]]] => 15
[[[[[[]],[]],[]]]] => 15
[[[[[[],[]]],[]]]] => 5
[[[[[[[]]]],[]]]] => 5
[[[[[],[],[],[]]]]] => 1
[[[[[],[],[[]]]]]] => 6
[[[[[],[[]],[]]]]] => 6
[[[[[],[[],[]]]]]] => 4
[[[[[],[[[]]]]]]] => 4
[[[[[[]],[],[]]]]] => 6
[[[[[[]],[[]]]]]] => 3
[[[[[[],[]],[]]]]] => 4
[[[[[[[]]],[]]]]] => 4
[[[[[[],[],[]]]]]] => 1
[[[[[[],[[]]]]]]] => 3
[[[[[[[]],[]]]]]] => 3
[[[[[[[],[]]]]]]] => 1
[[[[[[[[]]]]]]]] => 1
[[],[],[],[],[],[],[],[]] => 1
[[],[],[],[],[],[],[[]]] => 28
[[],[],[],[],[],[[]],[]] => 28
[[],[],[],[],[],[[],[]]] => 56
[[],[],[],[],[],[[[]]]] => 56
[[],[],[],[],[[]],[],[]] => 28
[[],[],[],[],[[]],[[]]] => 210
[[],[],[],[],[[],[]],[]] => 56
[[],[],[],[],[[[]]],[]] => 56
[[],[],[],[],[[],[],[]]] => 70
[[],[],[],[],[[],[[]]]] => 210
[[],[],[],[],[[[]],[]]] => 210
[[],[],[],[],[[[],[]]]] => 70
[[],[],[],[],[[[[]]]]] => 70
[[],[],[],[[]],[],[],[]] => 28
[[],[],[],[[]],[],[[]]] => 210
[[],[],[],[[]],[[]],[]] => 210
[[],[],[],[[]],[[],[]]] => 560
[[],[],[],[[]],[[[]]]] => 560
[[],[],[],[[],[]],[],[]] => 56
[[],[],[],[[[]]],[],[]] => 56
[[],[],[],[[],[]],[[]]] => 560
[[],[],[],[[[]]],[[]]] => 560
[[],[],[],[[],[],[]],[]] => 70
[[],[],[],[[],[[]]],[]] => 210
[[],[],[],[[[]],[]],[]] => 210
[[],[],[],[[[],[]]],[]] => 70
[[],[],[],[[[[]]]],[]] => 70
[[],[],[],[[],[],[],[]]] => 56
[[],[],[],[[],[],[[]]]] => 336
[[],[],[],[[],[[]],[]]] => 336
[[],[],[],[[],[[],[]]]] => 224
[[],[],[],[[],[[[]]]]] => 224
[[],[],[],[[[]],[],[]]] => 336
[[],[],[],[[[]],[[]]]] => 168
[[],[],[],[[[],[]],[]]] => 224
[[],[],[],[[[[]]],[]]] => 224
[[],[],[],[[[],[],[]]]] => 56
[[],[],[],[[[],[[]]]]] => 168
[[],[],[],[[[[]],[]]]] => 168
[[],[],[],[[[[],[]]]]] => 56
[[],[],[],[[[[[]]]]]] => 56
[[],[],[[]],[],[],[],[]] => 28
[[],[],[[]],[],[],[[]]] => 210
[[],[],[[]],[],[[]],[]] => 210
[[],[],[[]],[],[[],[]]] => 560
[[],[],[[]],[],[[[]]]] => 560
[[],[],[[]],[[]],[],[]] => 210
[[],[],[[]],[[]],[[]]] => 420
[[],[],[[]],[[],[]],[]] => 560
[[],[],[[]],[[[]]],[]] => 560
[[],[],[[]],[[],[],[]]] => 420
[[],[],[[]],[[],[[]]]] => 1260
[[],[],[[]],[[[]],[]]] => 1260
[[],[],[[]],[[[],[]]]] => 420
[[],[],[[]],[[[[]]]]] => 420
[[],[],[[],[]],[],[],[]] => 56
[[],[],[[[]]],[],[],[]] => 56
[[],[],[[],[]],[],[[]]] => 560
[[],[],[[[]]],[],[[]]] => 560
[[],[],[[],[]],[[]],[]] => 560
[[],[],[[[]]],[[]],[]] => 560
[[],[],[[],[]],[[],[]]] => 280
[[],[],[[],[]],[[[]]]] => 560
[[],[],[[[]]],[[],[]]] => 560
[[],[],[[[]]],[[[]]]] => 280
[[],[],[[],[],[]],[],[]] => 70
[[],[],[[],[[]]],[],[]] => 210
[[],[],[[[]],[]],[],[]] => 210
[[],[],[[[],[]]],[],[]] => 70
[[],[],[[[[]]]],[],[]] => 70
[[],[],[[],[],[]],[[]]] => 420
[[],[],[[],[[]]],[[]]] => 1260
[[],[],[[[]],[]],[[]]] => 1260
[[],[],[[[],[]]],[[]]] => 420
[[],[],[[[[]]]],[[]]] => 420
[[],[],[[],[],[],[]],[]] => 56
[[],[],[[],[],[[]]],[]] => 336
[[],[],[[],[[]],[]],[]] => 336
[[],[],[[],[[],[]]],[]] => 224
[[],[],[[],[[[]]]],[]] => 224
[[],[],[[[]],[],[]],[]] => 336
[[],[],[[[]],[[]]],[]] => 168
[[],[],[[[],[]],[]],[]] => 224
[[],[],[[[[]]],[]],[]] => 224
[[],[],[[[],[],[]]],[]] => 56
[[],[],[[[],[[]]]],[]] => 168
[[],[],[[[[]],[]]],[]] => 168
[[],[],[[[[],[]]]],[]] => 56
[[],[],[[[[[]]]]],[]] => 56
[[],[],[[],[],[],[],[]]] => 28
[[],[],[[],[],[],[[]]]] => 280
[[],[],[[],[],[[]],[]]] => 280
[[],[],[[],[],[[],[]]]] => 280
[[],[],[[],[],[[[]]]]] => 280
[[],[],[[],[[]],[],[]]] => 280
[[],[],[[],[[]],[[]]]] => 420
[[],[],[[],[[],[]],[]]] => 280
[[],[],[[],[[[]]],[]]] => 280
[[],[],[[],[[],[],[]]]] => 140
[[],[],[[],[[],[[]]]]] => 420
[[],[],[[],[[[]],[]]]] => 420
[[],[],[[],[[[],[]]]]] => 140
[[],[],[[],[[[[]]]]]] => 140
[[],[],[[[]],[],[],[]]] => 280
[[],[],[[[]],[],[[]]]] => 420
[[],[],[[[]],[[]],[]]] => 420
[[],[],[[[]],[[],[]]]] => 280
[[],[],[[[]],[[[]]]]] => 280
[[],[],[[[],[]],[],[]]] => 280
[[],[],[[[[]]],[],[]]] => 280
[[],[],[[[],[]],[[]]]] => 280
[[],[],[[[[]]],[[]]]] => 280
[[],[],[[[],[],[]],[]]] => 140
[[],[],[[[],[[]]],[]]] => 420
[[],[],[[[[]],[]],[]]] => 420
[[],[],[[[[],[]]],[]]] => 140
[[],[],[[[[[]]]],[]]] => 140
[[],[],[[[],[],[],[]]]] => 28
[[],[],[[[],[],[[]]]]] => 168
[[],[],[[[],[[]],[]]]] => 168
[[],[],[[[],[[],[]]]]] => 112
[[],[],[[[],[[[]]]]]] => 112
[[],[],[[[[]],[],[]]]] => 168
[[],[],[[[[]],[[]]]]] => 84
[[],[],[[[[],[]],[]]]] => 112
[[],[],[[[[[]]],[]]]] => 112
[[],[],[[[[],[],[]]]]] => 28
[[],[],[[[[],[[]]]]]] => 84
[[],[],[[[[[]],[]]]]] => 84
[[],[],[[[[[],[]]]]]] => 28
[[],[],[[[[[[]]]]]]] => 28
[[],[[]],[],[],[],[],[]] => 28
[[],[[]],[],[],[],[[]]] => 210
[[],[[]],[],[],[[]],[]] => 210
[[],[[]],[],[],[[],[]]] => 560
[[],[[]],[],[],[[[]]]] => 560
[[],[[]],[],[[]],[],[]] => 210
[[],[[]],[],[[]],[[]]] => 420
[[],[[]],[],[[],[]],[]] => 560
[[],[[]],[],[[[]]],[]] => 560
[[],[[]],[],[[],[],[]]] => 420
[[],[[]],[],[[],[[]]]] => 1260
[[],[[]],[],[[[]],[]]] => 1260
[[],[[]],[],[[[],[]]]] => 420
[[],[[]],[],[[[[]]]]] => 420
[[],[[]],[[]],[],[],[]] => 210
[[],[[]],[[]],[],[[]]] => 420
[[],[[]],[[]],[[]],[]] => 420
[[],[[]],[[]],[[],[]]] => 840
[[],[[]],[[]],[[[]]]] => 840
[[],[[]],[[],[]],[],[]] => 560
[[],[[]],[[[]]],[],[]] => 560
[[],[[]],[[],[]],[[]]] => 840
[[],[[]],[[[]]],[[]]] => 840
[[],[[]],[[],[],[]],[]] => 420
[[],[[]],[[],[[]]],[]] => 1260
[[],[[]],[[[]],[]],[]] => 1260
[[],[[]],[[[],[]]],[]] => 420
[[],[[]],[[[[]]]],[]] => 420
[[],[[]],[[],[],[],[]]] => 168
[[],[[]],[[],[],[[]]]] => 1008
[[],[[]],[[],[[]],[]]] => 1008
[[],[[]],[[],[[],[]]]] => 672
[[],[[]],[[],[[[]]]]] => 672
[[],[[]],[[[]],[],[]]] => 1008
[[],[[]],[[[]],[[]]]] => 504
[[],[[]],[[[],[]],[]]] => 672
[[],[[]],[[[[]]],[]]] => 672
[[],[[]],[[[],[],[]]]] => 168
[[],[[]],[[[],[[]]]]] => 504
[[],[[]],[[[[]],[]]]] => 504
[[],[[]],[[[[],[]]]]] => 168
[[],[[]],[[[[[]]]]]] => 168
[[],[[],[]],[],[],[],[]] => 56
[[],[[[]]],[],[],[],[]] => 56
[[],[[],[]],[],[],[[]]] => 560
[[],[[[]]],[],[],[[]]] => 560
[[],[[],[]],[],[[]],[]] => 560
[[],[[[]]],[],[[]],[]] => 560
[[],[[],[]],[],[[],[]]] => 280
[[],[[],[]],[],[[[]]]] => 560
[[],[[[]]],[],[[],[]]] => 560
[[],[[[]]],[],[[[]]]] => 280
[[],[[],[]],[[]],[],[]] => 560
[[],[[[]]],[[]],[],[]] => 560
[[],[[],[]],[[]],[[]]] => 840
[[],[[[]]],[[]],[[]]] => 840
[[],[[],[]],[[],[]],[]] => 280
[[],[[],[]],[[[]]],[]] => 560
[[],[[[]]],[[],[]],[]] => 560
[[],[[[]]],[[[]]],[]] => 280
[[],[[],[]],[[],[],[]]] => 280
[[],[[],[]],[[],[[]]]] => 840
[[],[[],[]],[[[]],[]]] => 840
[[],[[],[]],[[[],[]]]] => 280
[[],[[],[]],[[[[]]]]] => 280
[[],[[[]]],[[],[],[]]] => 280
[[],[[[]]],[[],[[]]]] => 840
[[],[[[]]],[[[]],[]]] => 840
[[],[[[]]],[[[],[]]]] => 280
[[],[[[]]],[[[[]]]]] => 280
[[],[[],[],[]],[],[],[]] => 70
[[],[[],[[]]],[],[],[]] => 210
[[],[[[]],[]],[],[],[]] => 210
[[],[[[],[]]],[],[],[]] => 70
[[],[[[[]]]],[],[],[]] => 70
[[],[[],[],[]],[],[[]]] => 420
[[],[[],[[]]],[],[[]]] => 1260
[[],[[[]],[]],[],[[]]] => 1260
[[],[[[],[]]],[],[[]]] => 420
[[],[[[[]]]],[],[[]]] => 420
[[],[[],[],[]],[[]],[]] => 420
[[],[[],[[]]],[[]],[]] => 1260
[[],[[[]],[]],[[]],[]] => 1260
[[],[[[],[]]],[[]],[]] => 420
[[],[[[[]]]],[[]],[]] => 420
[[],[[],[],[]],[[],[]]] => 280
[[],[[],[],[]],[[[]]]] => 280
[[],[[],[[]]],[[],[]]] => 840
[[],[[],[[]]],[[[]]]] => 840
[[],[[[]],[]],[[],[]]] => 840
[[],[[[]],[]],[[[]]]] => 840
[[],[[[],[]]],[[],[]]] => 280
[[],[[[],[]]],[[[]]]] => 280
[[],[[[[]]]],[[],[]]] => 280
[[],[[[[]]]],[[[]]]] => 280
[[],[[],[],[],[]],[],[]] => 56
[[],[[],[],[[]]],[],[]] => 336
[[],[[],[[]],[]],[],[]] => 336
[[],[[],[[],[]]],[],[]] => 224
[[],[[],[[[]]]],[],[]] => 224
[[],[[[]],[],[]],[],[]] => 336
[[],[[[]],[[]]],[],[]] => 168
[[],[[[],[]],[]],[],[]] => 224
[[],[[[[]]],[]],[],[]] => 224
[[],[[[],[],[]]],[],[]] => 56
[[],[[[],[[]]]],[],[]] => 168
[[],[[[[]],[]]],[],[]] => 168
[[],[[[[],[]]]],[],[]] => 56
[[],[[[[[]]]]],[],[]] => 56
[[],[[],[],[],[]],[[]]] => 168
[[],[[],[],[[]]],[[]]] => 1008
[[],[[],[[]],[]],[[]]] => 1008
[[],[[],[[],[]]],[[]]] => 672
[[],[[],[[[]]]],[[]]] => 672
[[],[[[]],[],[]],[[]]] => 1008
[[],[[[]],[[]]],[[]]] => 504
[[],[[[],[]],[]],[[]]] => 672
[[],[[[[]]],[]],[[]]] => 672
[[],[[[],[],[]]],[[]]] => 168
[[],[[[],[[]]]],[[]]] => 504
[[],[[[[]],[]]],[[]]] => 504
[[],[[[[],[]]]],[[]]] => 168
[[],[[[[[]]]]],[[]]] => 168
[[],[[],[],[],[],[]],[]] => 28
[[],[[],[],[],[[]]],[]] => 280
[[],[[],[],[[]],[]],[]] => 280
[[],[[],[],[[],[]]],[]] => 280
[[],[[],[],[[[]]]],[]] => 280
[[],[[],[[]],[],[]],[]] => 280
[[],[[],[[]],[[]]],[]] => 420
[[],[[],[[],[]],[]],[]] => 280
[[],[[],[[[]]],[]],[]] => 280
[[],[[],[[],[],[]]],[]] => 140
[[],[[],[[],[[]]]],[]] => 420
[[],[[],[[[]],[]]],[]] => 420
[[],[[],[[[],[]]]],[]] => 140
[[],[[],[[[[]]]]],[]] => 140
[[],[[[]],[],[],[]],[]] => 280
[[],[[[]],[],[[]]],[]] => 420
[[],[[[]],[[]],[]],[]] => 420
[[],[[[]],[[],[]]],[]] => 280
[[],[[[]],[[[]]]],[]] => 280
[[],[[[],[]],[],[]],[]] => 280
[[],[[[[]]],[],[]],[]] => 280
[[],[[[],[]],[[]]],[]] => 280
[[],[[[[]]],[[]]],[]] => 280
[[],[[[],[],[]],[]],[]] => 140
[[],[[[],[[]]],[]],[]] => 420
[[],[[[[]],[]],[]],[]] => 420
[[],[[[[],[]]],[]],[]] => 140
[[],[[[[[]]]],[]],[]] => 140
[[],[[[],[],[],[]]],[]] => 28
[[],[[[],[],[[]]]],[]] => 168
[[],[[[],[[]],[]]],[]] => 168
[[],[[[],[[],[]]]],[]] => 112
[[],[[[],[[[]]]]],[]] => 112
[[],[[[[]],[],[]]],[]] => 168
[[],[[[[]],[[]]]],[]] => 84
[[],[[[[],[]],[]]],[]] => 112
[[],[[[[[]]],[]]],[]] => 112
[[],[[[[],[],[]]]],[]] => 28
[[],[[[[],[[]]]]],[]] => 84
[[],[[[[[]],[]]]],[]] => 84
[[],[[[[[],[]]]]],[]] => 28
[[],[[[[[[]]]]]],[]] => 28
[[],[[],[],[],[],[],[]]] => 8
[[],[[],[],[],[],[[]]]] => 120
[[],[[],[],[],[[]],[]]] => 120
[[],[[],[],[],[[],[]]]] => 160
[[],[[],[],[],[[[]]]]] => 160
[[],[[],[],[[]],[],[]]] => 120
[[],[[],[],[[]],[[]]]] => 360
[[],[[],[],[[],[]],[]]] => 160
[[],[[],[],[[[]]],[]]] => 160
[[],[[],[],[[],[],[]]]] => 120
[[],[[],[],[[],[[]]]]] => 360
[[],[[],[],[[[]],[]]]] => 360
[[],[[],[],[[[],[]]]]] => 120
[[],[[],[],[[[[]]]]]] => 120
[[],[[],[[]],[],[],[]]] => 120
[[],[[],[[]],[],[[]]]] => 360
[[],[[],[[]],[[]],[]]] => 360
[[],[[],[[]],[[],[]]]] => 480
[[],[[],[[]],[[[]]]]] => 480
[[],[[],[[],[]],[],[]]] => 160
[[],[[],[[[]]],[],[]]] => 160
[[],[[],[[],[]],[[]]]] => 480
[[],[[],[[[]]],[[]]]] => 480
[[],[[],[[],[],[]],[]]] => 120
[[],[[],[[],[[]]],[]]] => 360
[[],[[],[[[]],[]],[]]] => 360
[[],[[],[[[],[]]],[]]] => 120
[[],[[],[[[[]]]],[]]] => 120
[[],[[],[[],[],[],[]]]] => 48
[[],[[],[[],[],[[]]]]] => 288
[[],[[],[[],[[]],[]]]] => 288
[[],[[],[[],[[],[]]]]] => 192
[[],[[],[[],[[[]]]]]] => 192
[[],[[],[[[]],[],[]]]] => 288
[[],[[],[[[]],[[]]]]] => 144
[[],[[],[[[],[]],[]]]] => 192
[[],[[],[[[[]]],[]]]] => 192
[[],[[],[[[],[],[]]]]] => 48
[[],[[],[[[],[[]]]]]] => 144
[[],[[],[[[[]],[]]]]] => 144
[[],[[],[[[[],[]]]]]] => 48
[[],[[],[[[[[]]]]]]] => 48
[[],[[[]],[],[],[],[]]] => 120
[[],[[[]],[],[],[[]]]] => 360
[[],[[[]],[],[[]],[]]] => 360
[[],[[[]],[],[[],[]]]] => 480
[[],[[[]],[],[[[]]]]] => 480
[[],[[[]],[[]],[],[]]] => 360
[[],[[[]],[[]],[[]]]] => 120
[[],[[[]],[[],[]],[]]] => 480
[[],[[[]],[[[]]],[]]] => 480
[[],[[[]],[[],[],[]]]] => 120
[[],[[[]],[[],[[]]]]] => 360
[[],[[[]],[[[]],[]]]] => 360
[[],[[[]],[[[],[]]]]] => 120
[[],[[[]],[[[[]]]]]] => 120
[[],[[[],[]],[],[],[]]] => 160
[[],[[[[]]],[],[],[]]] => 160
[[],[[[],[]],[],[[]]]] => 480
[[],[[[[]]],[],[[]]]] => 480
[[],[[[],[]],[[]],[]]] => 480
[[],[[[[]]],[[]],[]]] => 480
[[],[[[],[]],[[],[]]]] => 80
[[],[[[],[]],[[[]]]]] => 160
[[],[[[[]]],[[],[]]]] => 160
[[],[[[[]]],[[[]]]]] => 80
[[],[[[],[],[]],[],[]]] => 120
[[],[[[],[[]]],[],[]]] => 360
[[],[[[[]],[]],[],[]]] => 360
[[],[[[[],[]]],[],[]]] => 120
[[],[[[[[]]]],[],[]]] => 120
[[],[[[],[],[]],[[]]]] => 120
[[],[[[],[[]]],[[]]]] => 360
[[],[[[[]],[]],[[]]]] => 360
[[],[[[[],[]]],[[]]]] => 120
[[],[[[[[]]]],[[]]]] => 120
[[],[[[],[],[],[]],[]]] => 48
[[],[[[],[],[[]]],[]]] => 288
[[],[[[],[[]],[]],[]]] => 288
[[],[[[],[[],[]]],[]]] => 192
[[],[[[],[[[]]]],[]]] => 192
[[],[[[[]],[],[]],[]]] => 288
[[],[[[[]],[[]]],[]]] => 144
[[],[[[[],[]],[]],[]]] => 192
[[],[[[[[]]],[]],[]]] => 192
[[],[[[[],[],[]]],[]]] => 48
[[],[[[[],[[]]]],[]]] => 144
[[],[[[[[]],[]]],[]]] => 144
[[],[[[[[],[]]]],[]]] => 48
[[],[[[[[[]]]]],[]]] => 48
[[],[[[],[],[],[],[]]]] => 8
[[],[[[],[],[],[[]]]]] => 80
[[],[[[],[],[[]],[]]]] => 80
[[],[[[],[],[[],[]]]]] => 80
[[],[[[],[],[[[]]]]]] => 80
[[],[[[],[[]],[],[]]]] => 80
[[],[[[],[[]],[[]]]]] => 120
[[],[[[],[[],[]],[]]]] => 80
[[],[[[],[[[]]],[]]]] => 80
[[],[[[],[[],[],[]]]]] => 40
[[],[[[],[[],[[]]]]]] => 120
[[],[[[],[[[]],[]]]]] => 120
[[],[[[],[[[],[]]]]]] => 40
[[],[[[],[[[[]]]]]]] => 40
[[],[[[[]],[],[],[]]]] => 80
[[],[[[[]],[],[[]]]]] => 120
[[],[[[[]],[[]],[]]]] => 120
[[],[[[[]],[[],[]]]]] => 80
[[],[[[[]],[[[]]]]]] => 80
[[],[[[[],[]],[],[]]]] => 80
[[],[[[[[]]],[],[]]]] => 80
[[],[[[[],[]],[[]]]]] => 80
[[],[[[[[]]],[[]]]]] => 80
[[],[[[[],[],[]],[]]]] => 40
[[],[[[[],[[]]],[]]]] => 120
[[],[[[[[]],[]],[]]]] => 120
[[],[[[[[],[]]],[]]]] => 40
[[],[[[[[[]]]],[]]]] => 40
[[],[[[[],[],[],[]]]]] => 8
[[],[[[[],[],[[]]]]]] => 48
[[],[[[[],[[]],[]]]]] => 48
[[],[[[[],[[],[]]]]]] => 32
[[],[[[[],[[[]]]]]]] => 32
[[],[[[[[]],[],[]]]]] => 48
[[],[[[[[]],[[]]]]]] => 24
[[],[[[[[],[]],[]]]]] => 32
[[],[[[[[[]]],[]]]]] => 32
[[],[[[[[],[],[]]]]]] => 8
[[],[[[[[],[[]]]]]]] => 24
[[],[[[[[[]],[]]]]]] => 24
[[],[[[[[[],[]]]]]]] => 8
[[],[[[[[[[]]]]]]]] => 8
[[[]],[],[],[],[],[],[]] => 28
[[[]],[],[],[],[],[[]]] => 210
[[[]],[],[],[],[[]],[]] => 210
[[[]],[],[],[],[[],[]]] => 560
[[[]],[],[],[],[[[]]]] => 560
[[[]],[],[],[[]],[],[]] => 210
[[[]],[],[],[[]],[[]]] => 420
[[[]],[],[],[[],[]],[]] => 560
[[[]],[],[],[[[]]],[]] => 560
[[[]],[],[],[[],[],[]]] => 420
[[[]],[],[],[[],[[]]]] => 1260
[[[]],[],[],[[[]],[]]] => 1260
[[[]],[],[],[[[],[]]]] => 420
[[[]],[],[],[[[[]]]]] => 420
[[[]],[],[[]],[],[],[]] => 210
[[[]],[],[[]],[],[[]]] => 420
[[[]],[],[[]],[[]],[]] => 420
[[[]],[],[[]],[[],[]]] => 840
[[[]],[],[[]],[[[]]]] => 840
[[[]],[],[[],[]],[],[]] => 560
[[[]],[],[[[]]],[],[]] => 560
[[[]],[],[[],[]],[[]]] => 840
[[[]],[],[[[]]],[[]]] => 840
[[[]],[],[[],[],[]],[]] => 420
[[[]],[],[[],[[]]],[]] => 1260
[[[]],[],[[[]],[]],[]] => 1260
[[[]],[],[[[],[]]],[]] => 420
[[[]],[],[[[[]]]],[]] => 420
[[[]],[],[[],[],[],[]]] => 168
[[[]],[],[[],[],[[]]]] => 1008
[[[]],[],[[],[[]],[]]] => 1008
[[[]],[],[[],[[],[]]]] => 672
[[[]],[],[[],[[[]]]]] => 672
[[[]],[],[[[]],[],[]]] => 1008
[[[]],[],[[[]],[[]]]] => 504
[[[]],[],[[[],[]],[]]] => 672
[[[]],[],[[[[]]],[]]] => 672
[[[]],[],[[[],[],[]]]] => 168
[[[]],[],[[[],[[]]]]] => 504
[[[]],[],[[[[]],[]]]] => 504
[[[]],[],[[[[],[]]]]] => 168
[[[]],[],[[[[[]]]]]] => 168
[[[]],[[]],[],[],[],[]] => 210
[[[]],[[]],[],[],[[]]] => 420
[[[]],[[]],[],[[]],[]] => 420
[[[]],[[]],[],[[],[]]] => 840
[[[]],[[]],[],[[[]]]] => 840
[[[]],[[]],[[]],[],[]] => 420
[[[]],[[]],[[]],[[]]] => 105
[[[]],[[]],[[],[]],[]] => 840
[[[]],[[]],[[[]]],[]] => 840
[[[]],[[]],[[],[],[]]] => 210
[[[]],[[]],[[],[[]]]] => 630
[[[]],[[]],[[[]],[]]] => 630
[[[]],[[]],[[[],[]]]] => 210
[[[]],[[]],[[[[]]]]] => 210
[[[]],[[],[]],[],[],[]] => 560
[[[]],[[[]]],[],[],[]] => 560
[[[]],[[],[]],[],[[]]] => 840
[[[]],[[[]]],[],[[]]] => 840
[[[]],[[],[]],[[]],[]] => 840
[[[]],[[[]]],[[]],[]] => 840
[[[]],[[],[]],[[],[]]] => 280
[[[]],[[],[]],[[[]]]] => 560
[[[]],[[[]]],[[],[]]] => 560
[[[]],[[[]]],[[[]]]] => 280
[[[]],[[],[],[]],[],[]] => 420
[[[]],[[],[[]]],[],[]] => 1260
[[[]],[[[]],[]],[],[]] => 1260
[[[]],[[[],[]]],[],[]] => 420
[[[]],[[[[]]]],[],[]] => 420
[[[]],[[],[],[]],[[]]] => 210
[[[]],[[],[[]]],[[]]] => 630
[[[]],[[[]],[]],[[]]] => 630
[[[]],[[[],[]]],[[]]] => 210
[[[]],[[[[]]]],[[]]] => 210
[[[]],[[],[],[],[]],[]] => 168
[[[]],[[],[],[[]]],[]] => 1008
[[[]],[[],[[]],[]],[]] => 1008
[[[]],[[],[[],[]]],[]] => 672
[[[]],[[],[[[]]]],[]] => 672
[[[]],[[[]],[],[]],[]] => 1008
[[[]],[[[]],[[]]],[]] => 504
[[[]],[[[],[]],[]],[]] => 672
[[[]],[[[[]]],[]],[]] => 672
[[[]],[[[],[],[]]],[]] => 168
[[[]],[[[],[[]]]],[]] => 504
[[[]],[[[[]],[]]],[]] => 504
[[[]],[[[[],[]]]],[]] => 168
[[[]],[[[[[]]]]],[]] => 168
[[[]],[[],[],[],[],[]]] => 28
[[[]],[[],[],[],[[]]]] => 280
[[[]],[[],[],[[]],[]]] => 280
[[[]],[[],[],[[],[]]]] => 280
[[[]],[[],[],[[[]]]]] => 280
[[[]],[[],[[]],[],[]]] => 280
[[[]],[[],[[]],[[]]]] => 420
[[[]],[[],[[],[]],[]]] => 280
[[[]],[[],[[[]]],[]]] => 280
[[[]],[[],[[],[],[]]]] => 140
[[[]],[[],[[],[[]]]]] => 420
[[[]],[[],[[[]],[]]]] => 420
[[[]],[[],[[[],[]]]]] => 140
[[[]],[[],[[[[]]]]]] => 140
[[[]],[[[]],[],[],[]]] => 280
[[[]],[[[]],[],[[]]]] => 420
[[[]],[[[]],[[]],[]]] => 420
[[[]],[[[]],[[],[]]]] => 280
[[[]],[[[]],[[[]]]]] => 280
[[[]],[[[],[]],[],[]]] => 280
[[[]],[[[[]]],[],[]]] => 280
[[[]],[[[],[]],[[]]]] => 280
[[[]],[[[[]]],[[]]]] => 280
[[[]],[[[],[],[]],[]]] => 140
[[[]],[[[],[[]]],[]]] => 420
[[[]],[[[[]],[]],[]]] => 420
[[[]],[[[[],[]]],[]]] => 140
[[[]],[[[[[]]]],[]]] => 140
[[[]],[[[],[],[],[]]]] => 28
[[[]],[[[],[],[[]]]]] => 168
[[[]],[[[],[[]],[]]]] => 168
[[[]],[[[],[[],[]]]]] => 112
[[[]],[[[],[[[]]]]]] => 112
[[[]],[[[[]],[],[]]]] => 168
[[[]],[[[[]],[[]]]]] => 84
[[[]],[[[[],[]],[]]]] => 112
[[[]],[[[[[]]],[]]]] => 112
[[[]],[[[[],[],[]]]]] => 28
[[[]],[[[[],[[]]]]]] => 84
[[[]],[[[[[]],[]]]]] => 84
[[[]],[[[[[],[]]]]]] => 28
[[[]],[[[[[[]]]]]]] => 28
[[[],[]],[],[],[],[],[]] => 56
[[[[]]],[],[],[],[],[]] => 56
[[[],[]],[],[],[],[[]]] => 560
[[[[]]],[],[],[],[[]]] => 560
[[[],[]],[],[],[[]],[]] => 560
[[[[]]],[],[],[[]],[]] => 560
[[[],[]],[],[],[[],[]]] => 280
[[[],[]],[],[],[[[]]]] => 560
[[[[]]],[],[],[[],[]]] => 560
[[[[]]],[],[],[[[]]]] => 280
[[[],[]],[],[[]],[],[]] => 560
[[[[]]],[],[[]],[],[]] => 560
[[[],[]],[],[[]],[[]]] => 840
[[[[]]],[],[[]],[[]]] => 840
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Created: Feb 26, 2016 at 08:30 by Martin Rubey
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Last Updated: Feb 26, 2016 at 08:58 by Martin Rubey